12.677 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.011 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (/ x (+ x y)) 0.016 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.017 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 0.017 * [simplify]: Simplified to: (/ x (+ x y)) 0.017 * * [progress]: iteration 1 / 4 0.017 * * * [progress]: picking best candidate 0.019 * * * * [pick]: Picked # 0.019 * * * [progress]: localizing error 0.023 * * * [progress]: generating rewritten candidates 0.023 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.029 * * * [progress]: generating series expansions 0.029 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.029 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.029 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.029 * [taylor]: Taking taylor expansion of x in y 0.029 * [taylor]: Taking taylor expansion of (+ x y) in y 0.029 * [taylor]: Taking taylor expansion of x in y 0.029 * [taylor]: Taking taylor expansion of y in y 0.029 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.029 * [taylor]: Taking taylor expansion of x in x 0.029 * [taylor]: Taking taylor expansion of (+ x y) in x 0.029 * [taylor]: Taking taylor expansion of x in x 0.029 * [taylor]: Taking taylor expansion of y in x 0.029 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.029 * [taylor]: Taking taylor expansion of x in x 0.029 * [taylor]: Taking taylor expansion of (+ x y) in x 0.029 * [taylor]: Taking taylor expansion of x in x 0.029 * [taylor]: Taking taylor expansion of y in x 0.029 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.029 * [taylor]: Taking taylor expansion of y in y 0.029 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 0.029 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.030 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.030 * [taylor]: Taking taylor expansion of y in y 0.030 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.030 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.030 * [taylor]: Taking taylor expansion of y in y 0.030 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.031 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.031 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.031 * [taylor]: Taking taylor expansion of x in y 0.031 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.031 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.031 * [taylor]: Taking taylor expansion of y in y 0.031 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.031 * [taylor]: Taking taylor expansion of x in y 0.031 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.031 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.031 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.031 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.031 * [taylor]: Taking taylor expansion of y in x 0.031 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.031 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.031 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.031 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.031 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.031 * [taylor]: Taking taylor expansion of y in x 0.031 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.031 * [taylor]: Taking taylor expansion of 1 in y 0.032 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.032 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.032 * [taylor]: Taking taylor expansion of y in y 0.032 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.032 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.032 * [taylor]: Taking taylor expansion of y in y 0.032 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.032 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.032 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.032 * [taylor]: Taking taylor expansion of x in y 0.032 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.032 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.032 * [taylor]: Taking taylor expansion of y in y 0.032 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.032 * [taylor]: Taking taylor expansion of x in y 0.033 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.033 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.033 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.033 * [taylor]: Taking taylor expansion of y in x 0.033 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.033 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.033 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.033 * [taylor]: Taking taylor expansion of y in x 0.033 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of 1 in y 0.033 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.033 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.033 * [taylor]: Taking taylor expansion of y in y 0.034 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.034 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.034 * [taylor]: Taking taylor expansion of y in y 0.034 * * * [progress]: simplifying candidates 0.035 * [simplify]: Simplifying using # : (- (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))) (neg x) (neg (+ 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)) 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) 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 1) (/ x (+ x y)) (/ 1 (+ x y)) (/ (+ x y) x) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) (/ x 1) (/ 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 0.038 * * [simplify]: iteration 0 : 118 enodes (cost 153 ) 0.041 * * [simplify]: iteration 1 : 378 enodes (cost 144 ) 0.046 * * [simplify]: iteration 2 : 1010 enodes (cost 144 ) 0.066 * * [simplify]: iteration 3 : 3606 enodes (cost 144 ) 0.113 * * [simplify]: iteration 4 : 5001 enodes (cost 144 ) 0.115 * [simplify]: Simplified to: (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))) (neg x) (neg (+ 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)) (/ (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) (+ 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 (/ x (+ x y)) (/ 1 (+ x y)) (/ (+ x y) x) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x 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 0.115 * * * [progress]: adding candidates to table 0.148 * * [progress]: iteration 2 / 4 0.148 * * * [progress]: picking best candidate 0.154 * * * * [pick]: Picked # 0.154 * * * [progress]: localizing error 0.158 * * * [progress]: generating rewritten candidates 0.158 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.168 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.175 * * * [progress]: generating series expansions 0.175 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.175 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.175 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.175 * [taylor]: Taking taylor expansion of x in y 0.175 * [taylor]: Taking taylor expansion of (+ x y) in y 0.175 * [taylor]: Taking taylor expansion of x in y 0.175 * [taylor]: Taking taylor expansion of y in y 0.175 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.176 * [taylor]: Taking taylor expansion of (+ x y) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.176 * [taylor]: Taking taylor expansion of y in x 0.176 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.176 * [taylor]: Taking taylor expansion of (+ x y) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.176 * [taylor]: Taking taylor expansion of y in x 0.176 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.176 * [taylor]: Taking taylor expansion of y in y 0.176 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.176 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.176 * [taylor]: Taking taylor expansion of y in y 0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.176 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.176 * [taylor]: Taking taylor expansion of y in y 0.177 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.177 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.177 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.177 * [taylor]: Taking taylor expansion of x in y 0.177 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.177 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.177 * [taylor]: Taking taylor expansion of y in y 0.177 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.177 * [taylor]: Taking taylor expansion of x in y 0.177 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.177 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.177 * [taylor]: Taking taylor expansion of x 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 0.177 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.177 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.177 * [taylor]: Taking taylor expansion of x 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 0.178 * [taylor]: Taking taylor expansion of x in x 0.178 * [taylor]: Taking taylor expansion of 1 in y 0.178 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.178 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.178 * [taylor]: Taking taylor expansion of y in y 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.178 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.178 * [taylor]: Taking taylor expansion of y in y 0.179 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.179 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.179 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.179 * [taylor]: Taking taylor expansion of x in y 0.179 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.179 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.179 * [taylor]: Taking taylor expansion of y in y 0.179 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.179 * [taylor]: Taking taylor expansion of x in y 0.179 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.179 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.179 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.179 * [taylor]: Taking taylor expansion of y in x 0.179 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.179 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.179 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.179 * [taylor]: Taking taylor expansion of y in x 0.179 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of 1 in y 0.180 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.180 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.180 * [taylor]: Taking taylor expansion of y in y 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.180 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.180 * [taylor]: Taking taylor expansion of y in y 0.180 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.180 * [approximate]: Taking taylor expansion of (/ 1 (+ x y)) in (x y) around 0 0.180 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 0.180 * [taylor]: Taking taylor expansion of (+ x y) in y 0.180 * [taylor]: Taking taylor expansion of x in y 0.180 * [taylor]: Taking taylor expansion of y in y 0.180 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 0.181 * [taylor]: Taking taylor expansion of (+ x y) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.181 * [taylor]: Taking taylor expansion of y in x 0.181 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 0.181 * [taylor]: Taking taylor expansion of (+ x y) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.181 * [taylor]: Taking taylor expansion of y in x 0.181 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.181 * [taylor]: Taking taylor expansion of y in y 0.181 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) 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 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.181 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.181 * [taylor]: Taking taylor expansion of y in y 0.182 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.182 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.182 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.182 * [taylor]: Taking taylor expansion of y in y 0.182 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.182 * [taylor]: Taking taylor expansion of x in y 0.182 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.182 * [taylor]: Taking taylor expansion of y in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.184 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 0.184 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.184 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.184 * [taylor]: Taking taylor expansion of y in x 0.184 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.184 * [taylor]: Taking taylor expansion of x in x 0.185 * [taylor]: Taking taylor expansion of 1 in y 0.185 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.185 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.185 * [taylor]: Taking taylor expansion of y in y 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.185 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.185 * [taylor]: Taking taylor expansion of y in y 0.185 * [approximate]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.185 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in y 0.185 * [taylor]: Taking taylor expansion of -1 in y 0.185 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.185 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.185 * [taylor]: Taking taylor expansion of y in y 0.186 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.186 * [taylor]: Taking taylor expansion of x in y 0.186 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in x 0.186 * [taylor]: Taking taylor expansion of -1 in x 0.186 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.186 * [taylor]: Taking taylor expansion of y in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in x 0.186 * [taylor]: Taking taylor expansion of -1 in x 0.186 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.186 * [taylor]: Taking taylor expansion of y in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of -1 in y 0.186 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.186 * [taylor]: Taking taylor expansion of y in y 0.186 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.186 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.186 * [taylor]: Taking taylor expansion of y in y 0.187 * * * [progress]: simplifying candidates 0.188 * [simplify]: Simplifying using # : (* x (/ 1 (+ x y))) (+ (log x) (neg (log (+ x y)))) (+ (log x) (- 0 (log (+ x y)))) (+ (log x) (- (log 1) (log (+ x y)))) (+ (log x) (log (/ 1 (+ x y)))) (log (* x (/ 1 (+ x y)))) (exp (* x (/ 1 (+ x y)))) (* (* (* x x) x) (/ (* (* 1 1) 1) (* (* (+ x y) (+ x y)) (+ x y)))) (* (* (* x x) x) (* (* (/ 1 (+ x y)) (/ 1 (+ x y))) (/ 1 (+ x y)))) (* (cbrt (* x (/ 1 (+ x y)))) (cbrt (* x (/ 1 (+ x y))))) (cbrt (* x (/ 1 (+ x y)))) (* (* (* x (/ 1 (+ x y))) (* x (/ 1 (+ x y)))) (* x (/ 1 (+ x y)))) (sqrt (* x (/ 1 (+ x y)))) (sqrt (* x (/ 1 (+ x y)))) (* (sqrt x) (sqrt (/ 1 (+ x y)))) (* (sqrt x) (sqrt (/ 1 (+ x y)))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ x y)))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ x y)))) (* (sqrt x) (/ 1 (sqrt (+ x y)))) (* (sqrt x) (/ 1 (sqrt (+ x y)))) (* x (* (cbrt (/ 1 (+ x y))) (cbrt (/ 1 (+ x y))))) (* x (sqrt (/ 1 (+ x y)))) (* x (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ x y)) (cbrt (+ x y))))) (* x (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ x y)))) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (sqrt 1) (* (cbrt (+ x y)) (cbrt (+ x y))))) (* x (/ (sqrt 1) (sqrt (+ x y)))) (* x (/ (sqrt 1) 1)) (* x (/ (sqrt 1) 1)) (* x (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y))))) (* x (/ 1 (sqrt (+ x y)))) (* x (/ 1 1)) (* x (/ 1 1)) (* x 1) (* x 1) (* x (/ 1 (+ (pow x 3) (pow y 3)))) (* x (/ 1 (- (* x x) (* y y)))) (* (cbrt x) (/ 1 (+ x y))) (* (sqrt x) (/ 1 (+ x y))) (* x (/ 1 (+ x y))) (* x 1) (neg 1) (neg (log (+ x y))) (- 0 (log (+ x y))) (- (log 1) (log (+ x y))) (log (/ 1 (+ x y))) (exp (/ 1 (+ x y))) (/ (* (* 1 1) 1) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (/ 1 (+ x y))) (cbrt (/ 1 (+ x y)))) (cbrt (/ 1 (+ x y))) (* (* (/ 1 (+ x y)) (/ 1 (+ x y))) (/ 1 (+ x y))) (sqrt (/ 1 (+ x y))) (sqrt (/ 1 (+ x y))) (neg 1) (neg (+ x y)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt 1) (cbrt (+ x y))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ x y))) (/ (cbrt 1) (sqrt (+ x y))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ x y)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ x y)) (/ (sqrt 1) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt 1) (cbrt (+ x y))) (/ (sqrt 1) (sqrt (+ x y))) (/ (sqrt 1) (sqrt (+ x y))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ x y)) (/ (sqrt 1) 1) (/ (sqrt 1) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ 1 1) (/ 1 (+ x y)) (/ 1 1) (/ 1 (+ x y)) (/ 1 (+ x y)) (/ (+ x y) 1) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (sqrt (+ x y))) (/ 1 1) (/ 1 1) (/ (+ x y) (cbrt 1)) (/ (+ x y) (sqrt 1)) (/ (+ x y) 1) (/ 1 (+ (pow x 3) (pow y 3))) (/ 1 (- (* x x) (* y y))) 0 0 0 0 0 0 0.192 * * [simplify]: iteration 0 : 226 enodes (cost 344 ) 0.197 * * [simplify]: iteration 1 : 996 enodes (cost 294 ) 0.213 * * [simplify]: iteration 2 : 3429 enodes (cost 256 ) 0.242 * * [simplify]: iteration 3 : 5001 enodes (cost 256 ) 0.244 * [simplify]: Simplified to: (/ x (+ x y)) (- (log x) (log (+ x y))) (- (log x) (log (+ x y))) (- (log x) (log (+ x y))) (- (log x) (log (+ x y))) (- (log x) (log (+ x y))) (exp (* x (/ 1 (+ x y)))) (pow (/ x (+ x y)) 3) (pow (/ x (+ x y)) 3) (* (cbrt (* x (/ 1 (+ x y)))) (cbrt (* x (/ 1 (+ x y))))) (cbrt (* x (/ 1 (+ x y)))) (pow (/ x (+ x y)) 3) (sqrt (* x (/ 1 (+ x y)))) (sqrt (* x (/ 1 (+ x y)))) (* (sqrt x) (sqrt (/ 1 (+ x y)))) (* (sqrt x) (sqrt (/ 1 (+ x y)))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (* x (* (cbrt (/ 1 (+ x y))) (cbrt (/ 1 (+ x y))))) (* x (sqrt (/ 1 (+ x y)))) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x x (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x x (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x x x x (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) (/ (cbrt x) (+ x y)) (/ (sqrt x) (+ x y)) (/ x (+ x y)) x -1 (log (/ 1 (+ x y))) (log (/ 1 (+ x y))) (log (/ 1 (+ x y))) (log (/ 1 (+ x y))) (exp (/ 1 (+ x y))) (/ 1 (pow (+ x y) 3)) (* (cbrt (/ 1 (+ x y))) (cbrt (/ 1 (+ x y)))) (cbrt (/ 1 (+ x y))) (/ 1 (pow (+ x y) 3)) (sqrt (/ 1 (+ x y))) (sqrt (/ 1 (+ x y))) -1 (neg (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) 1 (/ 1 (+ x y)) 1 (/ 1 (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) 1 (/ 1 (+ x y)) 1 (/ 1 (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) 1 (/ 1 (+ x y)) 1 (/ 1 (+ x y)) (/ 1 (+ x y)) (+ x y) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (sqrt (+ x y))) 1 1 (+ x y) (+ x y) (+ x y) (/ 1 (+ (pow x 3) (pow y 3))) (/ 1 (- (* x x) (* y y))) 0 0 0 0 0 0 0.245 * * * [progress]: adding candidates to table 0.292 * * [progress]: iteration 3 / 4 0.292 * * * [progress]: picking best candidate 0.298 * * * * [pick]: Picked # 0.298 * * * [progress]: localizing error 0.302 * * * [progress]: generating rewritten candidates 0.302 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.309 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.319 * * * [progress]: generating series expansions 0.319 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.319 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.319 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.319 * [taylor]: Taking taylor expansion of x in y 0.319 * [taylor]: Taking taylor expansion of (+ x y) in y 0.319 * [taylor]: Taking taylor expansion of x in y 0.319 * [taylor]: Taking taylor expansion of y in y 0.320 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.320 * [taylor]: Taking taylor expansion of (+ x y) in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.320 * [taylor]: Taking taylor expansion of y in x 0.320 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.320 * [taylor]: Taking taylor expansion of (+ x y) in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.320 * [taylor]: Taking taylor expansion of y in x 0.320 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.320 * [taylor]: Taking taylor expansion of y in y 0.320 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.320 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.320 * [taylor]: Taking taylor expansion of y in y 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.320 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.320 * [taylor]: Taking taylor expansion of y in y 0.321 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.321 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.321 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.321 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.321 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.321 * [taylor]: Taking taylor expansion of y in y 0.321 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.321 * [taylor]: Taking taylor expansion of x in y 0.321 * [taylor]: Taking taylor expansion of x in y 0.321 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.321 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.321 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.321 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.321 * [taylor]: Taking taylor expansion of y in x 0.321 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.321 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.321 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.321 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.322 * [taylor]: Taking taylor expansion of y in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.322 * [taylor]: Taking taylor expansion of 1 in y 0.322 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.322 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.322 * [taylor]: Taking taylor expansion of y in y 0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.322 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.322 * [taylor]: Taking taylor expansion of y in y 0.323 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.323 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.323 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.323 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.323 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.323 * [taylor]: Taking taylor expansion of y in y 0.323 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.323 * [taylor]: Taking taylor expansion of x in y 0.323 * [taylor]: Taking taylor expansion of x in y 0.323 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.323 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.323 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.323 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.323 * [taylor]: Taking taylor expansion of y in x 0.323 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.323 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.323 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.323 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.323 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.323 * [taylor]: Taking taylor expansion of y in x 0.323 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.323 * [taylor]: Taking taylor expansion of 1 in y 0.324 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.324 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.324 * [taylor]: Taking taylor expansion of y in y 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.324 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.324 * [taylor]: Taking taylor expansion of y in y 0.324 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.324 * [approximate]: Taking taylor expansion of (/ (+ x y) x) in (x y) around 0 0.324 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 0.324 * [taylor]: Taking taylor expansion of (+ x y) in y 0.325 * [taylor]: Taking taylor expansion of x in y 0.325 * [taylor]: Taking taylor expansion of y in y 0.325 * [taylor]: Taking taylor expansion of x in y 0.325 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.325 * [taylor]: Taking taylor expansion of (+ x y) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of y in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.325 * [taylor]: Taking taylor expansion of (+ x y) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of y in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of y in y 0.325 * [taylor]: Taking taylor expansion of 1 in y 0.325 * [taylor]: Taking taylor expansion of 0 in y 0.325 * [taylor]: Taking taylor expansion of 0 in y 0.325 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.325 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.325 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.325 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.325 * [taylor]: Taking taylor expansion of y in y 0.325 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.325 * [taylor]: Taking taylor expansion of x in y 0.325 * [taylor]: Taking taylor expansion of x in y 0.325 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.326 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.326 * [taylor]: Taking taylor expansion of y in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.326 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.326 * [taylor]: Taking taylor expansion of y in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of 0 in y 0.326 * [taylor]: Taking taylor expansion of 1 in y 0.326 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.326 * [taylor]: Taking taylor expansion of y in y 0.326 * [taylor]: Taking taylor expansion of 0 in y 0.327 * [taylor]: Taking taylor expansion of 0 in y 0.327 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.327 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.327 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.327 * [taylor]: Taking taylor expansion of y in y 0.327 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.327 * [taylor]: Taking taylor expansion of x in y 0.327 * [taylor]: Taking taylor expansion of x in y 0.327 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.327 * [taylor]: Taking taylor expansion of y in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.327 * [taylor]: Taking taylor expansion of y in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of 0 in y 0.327 * [taylor]: Taking taylor expansion of 1 in y 0.328 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.328 * [taylor]: Taking taylor expansion of y in y 0.328 * [taylor]: Taking taylor expansion of 0 in y 0.328 * [taylor]: Taking taylor expansion of 0 in y 0.328 * * * [progress]: simplifying candidates 0.330 * [simplify]: Simplifying using # : (neg 1) (neg (- (log (+ x y)) (log x))) (neg (log (/ (+ x y) x))) (- 0 (- (log (+ x y)) (log x))) (- 0 (log (/ (+ x y) x))) (- (log 1) (- (log (+ x y)) (log x))) (- (log 1) (log (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (exp (/ 1 (/ (+ x y) x))) (/ (* (* 1 1) 1) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* x x) x))) (/ (* (* 1 1) 1) (* (* (/ (+ x y) x) (/ (+ x y) x)) (/ (+ x y) x))) (* (cbrt (/ 1 (/ (+ x y) x))) (cbrt (/ 1 (/ (+ x y) x)))) (cbrt (/ 1 (/ (+ x y) x))) (* (* (/ 1 (/ (+ x y) x)) (/ 1 (/ (+ x y) x))) (/ 1 (/ (+ x y) x))) (sqrt (/ 1 (/ (+ x y) x))) (sqrt (/ 1 (/ (+ x y) x))) (neg 1) (neg (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ (cbrt 1) (cbrt (/ (+ x y) x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ x y) x))) (/ (cbrt 1) (sqrt (/ (+ x y) x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (cbrt (+ x y)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ (cbrt 1) (/ (cbrt (+ x y)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ (cbrt 1) (/ (cbrt (+ x y)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (sqrt (+ x y)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ x y)) (sqrt x))) (/ (cbrt 1) (/ (sqrt (+ x y)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ x y)) 1)) (/ (cbrt 1) (/ (sqrt (+ x y)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ x y) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ x y) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ x y) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ x y) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) (+ x y)) (/ (cbrt 1) (/ 1 x)) (/ (sqrt 1) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ (sqrt 1) (cbrt (/ (+ x y) x))) (/ (sqrt 1) (sqrt (/ (+ x y) x))) (/ (sqrt 1) (sqrt (/ (+ x y) x))) (/ (sqrt 1) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (cbrt (+ x y)) (cbrt x))) (/ (sqrt 1) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ (sqrt 1) (/ (cbrt (+ x y)) (sqrt x))) (/ (sqrt 1) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ (sqrt 1) (/ (cbrt (+ x y)) x)) (/ (sqrt 1) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (sqrt (+ x y)) (cbrt x))) (/ (sqrt 1) (/ (sqrt (+ x y)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ x y)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ x y)) 1)) (/ (sqrt 1) (/ (sqrt (+ x y)) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ x y) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ x y) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ x y) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ x y) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ x y) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ x y) x)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (+ x y) x)) (/ (sqrt 1) (+ x y)) (/ (sqrt 1) (/ 1 x)) (/ 1 (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (cbrt (+ x y)) (cbrt x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ 1 (/ (cbrt (+ x y)) (sqrt x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ 1 (/ (cbrt (+ x y)) x)) (/ 1 (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ x y)) (cbrt x))) (/ 1 (/ (sqrt (+ x y)) (sqrt x))) (/ 1 (/ (sqrt (+ x y)) (sqrt x))) (/ 1 (/ (sqrt (+ x y)) 1)) (/ 1 (/ (sqrt (+ x y)) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ x y) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ x y) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ x y) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ x y) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ x y) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ x y) x)) (/ 1 1) (/ 1 (/ (+ x y) x)) (/ 1 (+ x y)) (/ 1 (/ 1 x)) (/ 1 (/ (+ x y) x)) (/ (/ (+ x y) x) 1) (/ 1 (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ 1 (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ x y)) (sqrt x))) (/ 1 (/ (sqrt (+ x y)) 1)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (+ x y)) (/ (/ (+ x y) x) (cbrt 1)) (/ (/ (+ x y) x) (sqrt 1)) (/ (/ (+ x y) x) 1) (/ 1 (+ x y)) (- (log (+ x y)) (log x)) (log (/ (+ x y) x)) (exp (/ (+ x y) x)) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* x x) x)) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x)) (* (* (/ (+ x y) x) (/ (+ x y) x)) (/ (+ x y) x)) (sqrt (/ (+ x y) x)) (sqrt (/ (+ x y) x)) (neg (+ x y)) (neg x) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ x y)) (cbrt x)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x)) (/ (cbrt (+ x y)) (sqrt x)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) x) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ x y)) (cbrt x)) (/ (sqrt (+ x y)) (sqrt x)) (/ (sqrt (+ x y)) (sqrt x)) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) (/ 1 1) (/ (+ x y) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) (/ 1 1) (/ (+ x y) x) (/ 1 x) (/ x (+ x y)) (/ (+ x y) (* (cbrt x) (cbrt x))) (/ (+ x y) (sqrt x)) (/ (+ x y) 1) (/ x (cbrt (+ x y))) (/ x (sqrt (+ x y))) (/ x (+ x y)) (/ x (+ x y)) (* x (+ (* x x) (- (* y y) (* x y)))) (* x (- x y)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 0.335 * * [simplify]: iteration 0 : 346 enodes (cost 798 ) 0.343 * * [simplify]: iteration 1 : 1531 enodes (cost 700 ) 0.365 * * [simplify]: iteration 2 : 5001 enodes (cost 610 ) 0.369 * [simplify]: Simplified to: -1 (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (exp (/ 1 (/ (+ x y) x))) (/ 1 (pow (/ (+ x y) x) 3)) (/ 1 (pow (/ (+ x y) x) 3)) (* (cbrt (/ 1 (/ (+ x y) x))) (cbrt (/ 1 (/ (+ x y) x)))) (cbrt (/ 1 (/ (+ x y) x))) (/ 1 (pow (/ (+ x y) x) 3)) (sqrt (/ 1 (/ (+ x y) x))) (sqrt (/ 1 (/ (+ x y) x))) -1 (neg (/ (+ x y) x)) (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ x y) (cbrt x))) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ x y) (cbrt x))) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) x (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ x y) (cbrt x))) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ x y) (cbrt x))) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) x (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ x y) (cbrt x))) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ x y) (cbrt x))) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) x (/ x (+ x y)) (/ (+ x y) x) (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (sqrt x) 1 (* (cbrt x) (cbrt x)) (sqrt x) 1 1 (/ 1 (+ x y)) (/ (+ x y) x) (/ (+ x y) x) (/ (+ x y) x) (/ 1 (+ x y)) (log (/ (+ x y) x)) (log (/ (+ x y) x)) (exp (/ (+ x y) x)) (pow (/ (+ x y) x) 3) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x)) (pow (/ (+ x y) x) 3) (sqrt (/ (+ x y) x)) (sqrt (/ (+ x y) x)) (neg (+ x y)) (neg x) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ x y)) (cbrt x)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x)) (/ (cbrt (+ x y)) (sqrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) x) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ x y)) (cbrt x)) (/ (sqrt (+ x y)) (sqrt x)) (/ (sqrt (+ x y)) (sqrt x)) (sqrt (+ x y)) (/ (sqrt (+ x y)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) 1 (/ (+ x y) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) 1 (/ (+ x y) x) (/ 1 x) (/ x (+ x y)) (/ (+ x y) (* (cbrt x) (cbrt x))) (/ (+ x y) (sqrt x)) (+ x y) (/ x (cbrt (+ x y))) (/ x (sqrt (+ x y))) (/ x (+ x y)) (/ x (+ x y)) (* (+ (* y (- y x)) (* x x)) x) (* x (- x y)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 0.370 * * * [progress]: adding candidates to table 0.429 * * [progress]: iteration 4 / 4 0.429 * * * [progress]: picking best candidate 0.431 * * * * [pick]: Picked # 0.431 * * * [progress]: localizing error 0.439 * * * [progress]: generating rewritten candidates 0.439 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.440 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.441 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.442 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.450 * * * [progress]: generating series expansions 0.450 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.450 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.450 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.450 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.450 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.450 * [taylor]: Taking taylor expansion of 1/3 in x 0.450 * [taylor]: Taking taylor expansion of (log x) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.450 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.450 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.450 * [taylor]: Taking taylor expansion of 1/3 in x 0.450 * [taylor]: Taking taylor expansion of (log x) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.456 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.456 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.456 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.456 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.456 * [taylor]: Taking taylor expansion of 1/3 in x 0.456 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.456 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.457 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.457 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.457 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.457 * [taylor]: Taking taylor expansion of 1/3 in x 0.457 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.457 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.457 * [taylor]: Taking taylor expansion of x in x 0.463 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.463 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.463 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.463 * [taylor]: Taking taylor expansion of -1 in x 0.463 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.463 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.463 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.463 * [taylor]: Taking taylor expansion of 1/3 in x 0.463 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.463 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.463 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.463 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.463 * [taylor]: Taking taylor expansion of -1 in x 0.464 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.464 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.464 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.464 * [taylor]: Taking taylor expansion of 1/3 in x 0.464 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.464 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.464 * [taylor]: Taking taylor expansion of x in x 0.474 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.474 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.474 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.474 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.474 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.474 * [taylor]: Taking taylor expansion of 1/3 in x 0.474 * [taylor]: Taking taylor expansion of (log x) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.474 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.474 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.474 * [taylor]: Taking taylor expansion of 1/3 in x 0.474 * [taylor]: Taking taylor expansion of (log x) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.480 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.480 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.480 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.480 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.480 * [taylor]: Taking taylor expansion of 1/3 in x 0.480 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.480 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.480 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.480 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.480 * [taylor]: Taking taylor expansion of 1/3 in x 0.480 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.480 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.487 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.487 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.487 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.487 * [taylor]: Taking taylor expansion of -1 in x 0.487 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.487 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.487 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.487 * [taylor]: Taking taylor expansion of 1/3 in x 0.487 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.487 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.487 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.487 * [taylor]: Taking taylor expansion of -1 in x 0.487 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.487 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.487 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.487 * [taylor]: Taking taylor expansion of 1/3 in x 0.487 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.487 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.495 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.495 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.495 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.495 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.495 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.495 * [taylor]: Taking taylor expansion of 1/3 in x 0.495 * [taylor]: Taking taylor expansion of (log x) in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.496 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.496 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.496 * [taylor]: Taking taylor expansion of 1/3 in x 0.496 * [taylor]: Taking taylor expansion of (log x) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.502 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.502 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.502 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.502 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.502 * [taylor]: Taking taylor expansion of 1/3 in x 0.502 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.502 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.502 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.502 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.502 * [taylor]: Taking taylor expansion of 1/3 in x 0.502 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.502 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.508 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.509 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.509 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.509 * [taylor]: Taking taylor expansion of -1 in x 0.509 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.509 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.509 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.509 * [taylor]: Taking taylor expansion of 1/3 in x 0.509 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.509 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.509 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.509 * [taylor]: Taking taylor expansion of -1 in x 0.509 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.509 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.509 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.509 * [taylor]: Taking taylor expansion of 1/3 in x 0.509 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.509 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.517 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.517 * [approximate]: Taking taylor expansion of (pow (pow x 2) 1/3) in (x) around 0 0.517 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 0.517 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 0.517 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 0.517 * [taylor]: Taking taylor expansion of 1/3 in x 0.517 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 0.517 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.517 * [taylor]: Taking taylor expansion of x in x 0.517 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 0.517 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 0.517 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 0.518 * [taylor]: Taking taylor expansion of 1/3 in x 0.518 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 0.518 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.518 * [taylor]: Taking taylor expansion of x in x 0.524 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in (x) around 0 0.524 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.524 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.524 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.524 * [taylor]: Taking taylor expansion of 1/3 in x 0.524 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.524 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.524 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.524 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.524 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.524 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.524 * [taylor]: Taking taylor expansion of 1/3 in x 0.524 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.524 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.524 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.531 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in (x) around 0 0.531 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 0.531 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 0.531 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.531 * [taylor]: Taking taylor expansion of -1 in x 0.531 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.531 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.531 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.531 * [taylor]: Taking taylor expansion of 1/3 in x 0.532 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.532 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.532 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.532 * [taylor]: Taking taylor expansion of x in x 0.532 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 0.532 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 0.532 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.532 * [taylor]: Taking taylor expansion of -1 in x 0.532 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.532 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.532 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.532 * [taylor]: Taking taylor expansion of 1/3 in x 0.532 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.532 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.532 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.532 * [taylor]: Taking taylor expansion of x in x 0.542 * * * [progress]: simplifying candidates 0.543 * [simplify]: Simplifying using # : (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (+ 1/3 1/3) (+ 1 1) (* x x) (* (cbrt x) (cbrt x)) (+ 1 1) (+ (log (cbrt x)) (log (cbrt x))) (log (* (cbrt x) (cbrt x))) (exp (* (cbrt x) (cbrt x))) (* x x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (* (cbrt x) (cbrt x))) (* (* (* (cbrt x) (cbrt x)) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x)) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* 1 1) (* (cbrt x) (cbrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (cbrt (sqrt x))) (* (sqrt (cbrt x)) (cbrt (sqrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* 2 1/3) (* 2 1) (* (cbrt x) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt x) (cbrt (sqrt x))) (* (cbrt x) (cbrt 1)) (* (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (* (cbrt x) (sqrt (cbrt x))) (* (cbrt x) 1) (* (cbrt (cbrt x)) (cbrt x)) (* (cbrt (sqrt x)) (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt (cbrt x)) (cbrt x)) (* (sqrt (cbrt x)) (cbrt x)) (* (cbrt x) (cbrt x)) (exp (* 1/3 (+ (log 1) (log x)))) (exp (* 1/3 (- (log 1) (log (/ 1 x))))) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 x)))))) (exp (* 1/3 (+ (log 1) (log x)))) (exp (* 1/3 (- (log 1) (log (/ 1 x))))) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 x)))))) (exp (* 1/3 (+ (log 1) (log x)))) (exp (* 1/3 (- (log 1) (log (/ 1 x))))) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 x)))))) (exp (* 1/3 (+ (log 1) (* 2 (log x))))) (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 x)))))) (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 x))))))) 0.547 * * [simplify]: iteration 0 : 148 enodes (cost 349 ) 0.551 * * [simplify]: iteration 1 : 471 enodes (cost 322 ) 0.564 * * [simplify]: iteration 2 : 2276 enodes (cost 265 ) 0.619 * * [simplify]: iteration 3 : 5002 enodes (cost 252 ) 0.621 * [simplify]: Simplified to: (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) 2/3 2 (* x x) (pow x 2/3) 2 (* 2 (log (cbrt x))) (* 2 (log (cbrt x))) (exp (* (cbrt x) (cbrt x))) (* x x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (* (cbrt x) (cbrt x))) (* x x) (fabs (cbrt x)) (fabs (cbrt x)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) 1 (pow x 2/3) (pow (cbrt (cbrt x)) 4) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt x) (cbrt x) 1 (pow x 2/3) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (cbrt x) (cbrt x) 2/3 2 (* (cbrt x) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt x) (cbrt (sqrt x))) (cbrt x) (pow (cbrt (cbrt x)) 5) (pow (sqrt (cbrt x)) 3) (cbrt x) (pow (cbrt (cbrt x)) 4) (* (cbrt x) (cbrt (sqrt x))) (pow x 2/3) (pow (cbrt (cbrt x)) 4) (pow (sqrt (cbrt x)) 3) (pow x 2/3) (cbrt x) (cbrt x) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 x)))))) (cbrt x) (cbrt x) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 x)))))) (cbrt x) (cbrt x) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 x)))))) (pow x 2/3) (pow x 2/3) (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 x))))))) 0.622 * * * [progress]: adding candidates to table 0.684 * [progress]: [Phase 3 of 3] Extracting. 0.684 * * [regime]: Finding splitpoints for: (# # # #) 0.684 * * * [regime-changes]: Trying 3 branch expressions: ((/ x (+ x y)) y x) 0.684 * * * * [regimes]: Trying to branch on (/ x (+ x y)) from (# # # #) 0.718 * * * * [regimes]: Trying to branch on y from (# # # #) 0.756 * * * * [regimes]: Trying to branch on x from (# # # #) 0.792 * * * [regime]: Found split indices: #