7.332 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying using # : (/ (* x (+ (/ x y) 1.0)) (+ x 1.0)) 0.020 * * [simplify]: iteration 0 : 19 enodes (cost 5 ) 0.022 * * [simplify]: iteration 1 : 29 enodes (cost 5 ) 0.024 * * [simplify]: iteration 2 : 45 enodes (cost 5 ) 0.026 * * [simplify]: iteration 3 : 56 enodes (cost 5 ) 0.028 * * [simplify]: iteration 4 : 74 enodes (cost 5 ) 0.030 * * [simplify]: iteration 5 : 86 enodes (cost 5 ) 0.032 * * [simplify]: iteration 6 : 120 enodes (cost 5 ) 0.034 * * [simplify]: iteration 7 : 136 enodes (cost 5 ) 0.036 * * [simplify]: iteration 8 : 146 enodes (cost 5 ) 0.039 * * [simplify]: iteration 9 : 150 enodes (cost 5 ) 0.041 * * [simplify]: iteration 10 : 160 enodes (cost 5 ) 0.044 * * [simplify]: iteration 11 : 446 enodes (cost 5 ) 0.059 * * [simplify]: iteration 12 : 2695 enodes (cost 5 ) 0.093 * * [simplify]: iteration 13 : 5001 enodes (cost 5 ) 0.093 * [simplify]: Simplified to: (/ (* x (+ (/ x y) 1.0)) (+ x 1.0)) 0.094 * * [progress]: iteration 1 / 4 0.094 * * * [progress]: picking best candidate 0.095 * * * * [pick]: Picked # 0.095 * * * [progress]: localizing error 0.105 * * * [progress]: generating rewritten candidates 0.105 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.118 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.128 * * * [progress]: generating series expansions 0.128 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.128 * [approximate]: Taking taylor expansion of (/ (* x (+ (/ x y) 1.0)) (+ x 1.0)) in (x y) around 0 0.129 * [taylor]: Taking taylor expansion of (/ (* x (+ (/ x y) 1.0)) (+ x 1.0)) in y 0.129 * [taylor]: Taking taylor expansion of (* x (+ (/ x y) 1.0)) in y 0.129 * [taylor]: Taking taylor expansion of x in y 0.129 * [taylor]: Taking taylor expansion of (+ (/ x y) 1.0) in y 0.129 * [taylor]: Taking taylor expansion of (/ x y) in y 0.129 * [taylor]: Taking taylor expansion of x in y 0.129 * [taylor]: Taking taylor expansion of y in y 0.129 * [taylor]: Taking taylor expansion of 1.0 in y 0.129 * [taylor]: Taking taylor expansion of (+ x 1.0) in y 0.129 * [taylor]: Taking taylor expansion of x in y 0.129 * [taylor]: Taking taylor expansion of 1.0 in y 0.129 * [taylor]: Taking taylor expansion of (/ (* x (+ (/ x y) 1.0)) (+ x 1.0)) in x 0.129 * [taylor]: Taking taylor expansion of (* x (+ (/ x y) 1.0)) in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.129 * [taylor]: Taking taylor expansion of (+ (/ x y) 1.0) in x 0.129 * [taylor]: Taking taylor expansion of (/ x y) in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.129 * [taylor]: Taking taylor expansion of y in x 0.129 * [taylor]: Taking taylor expansion of 1.0 in x 0.129 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.129 * [taylor]: Taking taylor expansion of 1.0 in x 0.131 * [taylor]: Taking taylor expansion of (/ (* x (+ (/ x y) 1.0)) (+ x 1.0)) in x 0.131 * [taylor]: Taking taylor expansion of (* x (+ (/ x y) 1.0)) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [taylor]: Taking taylor expansion of (+ (/ x y) 1.0) in x 0.131 * [taylor]: Taking taylor expansion of (/ x y) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [taylor]: Taking taylor expansion of y in x 0.131 * [taylor]: Taking taylor expansion of 1.0 in x 0.131 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [taylor]: Taking taylor expansion of 1.0 in x 0.133 * [taylor]: Taking taylor expansion of 1.0 in y 0.135 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 y)) 1.0) in y 0.135 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.135 * [taylor]: Taking taylor expansion of 1.0 in y 0.135 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.135 * [taylor]: Taking taylor expansion of y in y 0.135 * [taylor]: Taking taylor expansion of 1.0 in y 0.138 * [taylor]: Taking taylor expansion of (- 1.0 (* 1.0 (/ 1 y))) in y 0.138 * [taylor]: Taking taylor expansion of 1.0 in y 0.138 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.138 * [taylor]: Taking taylor expansion of 1.0 in y 0.138 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.138 * [taylor]: Taking taylor expansion of y in y 0.140 * [approximate]: Taking taylor expansion of (/ (+ (/ y x) 1.0) (* x (+ 1.0 (/ 1 x)))) in (x y) around 0 0.140 * [taylor]: Taking taylor expansion of (/ (+ (/ y x) 1.0) (* x (+ 1.0 (/ 1 x)))) in y 0.140 * [taylor]: Taking taylor expansion of (+ (/ y x) 1.0) in y 0.140 * [taylor]: Taking taylor expansion of (/ y x) in y 0.140 * [taylor]: Taking taylor expansion of y in y 0.140 * [taylor]: Taking taylor expansion of x in y 0.140 * [taylor]: Taking taylor expansion of 1.0 in y 0.140 * [taylor]: Taking taylor expansion of (* x (+ 1.0 (/ 1 x))) in y 0.140 * [taylor]: Taking taylor expansion of x in y 0.141 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in y 0.141 * [taylor]: Taking taylor expansion of 1.0 in y 0.141 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.141 * [taylor]: Taking taylor expansion of x in y 0.141 * [taylor]: Taking taylor expansion of (/ (+ (/ y x) 1.0) (* x (+ 1.0 (/ 1 x)))) in x 0.141 * [taylor]: Taking taylor expansion of (+ (/ y x) 1.0) in x 0.141 * [taylor]: Taking taylor expansion of (/ y x) in x 0.141 * [taylor]: Taking taylor expansion of y in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of 1.0 in x 0.141 * [taylor]: Taking taylor expansion of (* x (+ 1.0 (/ 1 x))) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.141 * [taylor]: Taking taylor expansion of 1.0 in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of (/ (+ (/ y x) 1.0) (* x (+ 1.0 (/ 1 x)))) in x 0.144 * [taylor]: Taking taylor expansion of (+ (/ y x) 1.0) in x 0.144 * [taylor]: Taking taylor expansion of (/ y x) in x 0.144 * [taylor]: Taking taylor expansion of y in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.144 * [taylor]: Taking taylor expansion of 1.0 in x 0.144 * [taylor]: Taking taylor expansion of (* x (+ 1.0 (/ 1 x))) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.144 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.144 * [taylor]: Taking taylor expansion of 1.0 in x 0.144 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.146 * [taylor]: Taking taylor expansion of y in y 0.149 * [taylor]: Taking taylor expansion of (- 1.0 (* 1.0 y)) in y 0.150 * [taylor]: Taking taylor expansion of 1.0 in y 0.150 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.150 * [taylor]: Taking taylor expansion of 1.0 in y 0.150 * [taylor]: Taking taylor expansion of y in y 0.154 * [taylor]: Taking taylor expansion of (- (* 1.0 y) 1.0) in y 0.154 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.154 * [taylor]: Taking taylor expansion of 1.0 in y 0.154 * [taylor]: Taking taylor expansion of y in y 0.154 * [taylor]: Taking taylor expansion of 1.0 in y 0.156 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ y x) 1.0) (* (- 1.0 (/ 1 x)) x))) in (x y) around 0 0.156 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ y x) 1.0) (* (- 1.0 (/ 1 x)) x))) in y 0.156 * [taylor]: Taking taylor expansion of -1 in y 0.156 * [taylor]: Taking taylor expansion of (/ (+ (/ y x) 1.0) (* (- 1.0 (/ 1 x)) x)) in y 0.156 * [taylor]: Taking taylor expansion of (+ (/ y x) 1.0) in y 0.156 * [taylor]: Taking taylor expansion of (/ y x) in y 0.156 * [taylor]: Taking taylor expansion of y in y 0.156 * [taylor]: Taking taylor expansion of x in y 0.156 * [taylor]: Taking taylor expansion of 1.0 in y 0.156 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) x) in y 0.156 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in y 0.156 * [taylor]: Taking taylor expansion of 1.0 in y 0.156 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.156 * [taylor]: Taking taylor expansion of x in y 0.156 * [taylor]: Taking taylor expansion of x in y 0.157 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ y x) 1.0) (* (- 1.0 (/ 1 x)) x))) in x 0.157 * [taylor]: Taking taylor expansion of -1 in x 0.157 * [taylor]: Taking taylor expansion of (/ (+ (/ y x) 1.0) (* (- 1.0 (/ 1 x)) x)) in x 0.157 * [taylor]: Taking taylor expansion of (+ (/ y x) 1.0) in x 0.157 * [taylor]: Taking taylor expansion of (/ y x) in x 0.157 * [taylor]: Taking taylor expansion of y in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [taylor]: Taking taylor expansion of 1.0 in x 0.157 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) x) in x 0.157 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.157 * [taylor]: Taking taylor expansion of 1.0 in x 0.157 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.160 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ y x) 1.0) (* (- 1.0 (/ 1 x)) x))) in x 0.160 * [taylor]: Taking taylor expansion of -1 in x 0.160 * [taylor]: Taking taylor expansion of (/ (+ (/ y x) 1.0) (* (- 1.0 (/ 1 x)) x)) in x 0.160 * [taylor]: Taking taylor expansion of (+ (/ y x) 1.0) in x 0.160 * [taylor]: Taking taylor expansion of (/ y x) in x 0.160 * [taylor]: Taking taylor expansion of y in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.160 * [taylor]: Taking taylor expansion of 1.0 in x 0.160 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) x) in x 0.160 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.160 * [taylor]: Taking taylor expansion of 1.0 in x 0.160 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.162 * [taylor]: Taking taylor expansion of y in y 0.166 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) 1.0) in y 0.166 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.166 * [taylor]: Taking taylor expansion of 1.0 in y 0.166 * [taylor]: Taking taylor expansion of y in y 0.167 * [taylor]: Taking taylor expansion of 1.0 in y 0.171 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) 1.0) in y 0.171 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.171 * [taylor]: Taking taylor expansion of 1.0 in y 0.171 * [taylor]: Taking taylor expansion of y in y 0.171 * [taylor]: Taking taylor expansion of 1.0 in y 0.172 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.172 * [approximate]: Taking taylor expansion of (* x (+ (/ x y) 1.0)) in (x y) around 0 0.172 * [taylor]: Taking taylor expansion of (* x (+ (/ x y) 1.0)) in y 0.172 * [taylor]: Taking taylor expansion of x in y 0.172 * [taylor]: Taking taylor expansion of (+ (/ x y) 1.0) in y 0.172 * [taylor]: Taking taylor expansion of (/ x y) in y 0.172 * [taylor]: Taking taylor expansion of x in y 0.172 * [taylor]: Taking taylor expansion of y in y 0.172 * [taylor]: Taking taylor expansion of 1.0 in y 0.172 * [taylor]: Taking taylor expansion of (* x (+ (/ x y) 1.0)) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of (+ (/ x y) 1.0) in x 0.172 * [taylor]: Taking taylor expansion of (/ x y) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of y in x 0.172 * [taylor]: Taking taylor expansion of 1.0 in x 0.172 * [taylor]: Taking taylor expansion of (* x (+ (/ x y) 1.0)) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of (+ (/ x y) 1.0) in x 0.172 * [taylor]: Taking taylor expansion of (/ x y) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of y in x 0.172 * [taylor]: Taking taylor expansion of 1.0 in x 0.173 * [taylor]: Taking taylor expansion of 0 in y 0.173 * [taylor]: Taking taylor expansion of 1.0 in y 0.174 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.174 * [taylor]: Taking taylor expansion of y in y 0.176 * [taylor]: Taking taylor expansion of 0 in y 0.177 * [taylor]: Taking taylor expansion of 0 in y 0.178 * [approximate]: Taking taylor expansion of (/ (+ (/ y x) 1.0) x) in (x y) around 0 0.178 * [taylor]: Taking taylor expansion of (/ (+ (/ y x) 1.0) x) in y 0.178 * [taylor]: Taking taylor expansion of (+ (/ y x) 1.0) in y 0.178 * [taylor]: Taking taylor expansion of (/ y x) in y 0.178 * [taylor]: Taking taylor expansion of y in y 0.178 * [taylor]: Taking taylor expansion of x in y 0.179 * [taylor]: Taking taylor expansion of 1.0 in y 0.179 * [taylor]: Taking taylor expansion of x in y 0.179 * [taylor]: Taking taylor expansion of (/ (+ (/ y x) 1.0) x) in x 0.179 * [taylor]: Taking taylor expansion of (+ (/ y x) 1.0) in x 0.179 * [taylor]: Taking taylor expansion of (/ y x) in x 0.179 * [taylor]: Taking taylor expansion of y in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of 1.0 in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of (/ (+ (/ y x) 1.0) x) in x 0.179 * [taylor]: Taking taylor expansion of (+ (/ y x) 1.0) in x 0.179 * [taylor]: Taking taylor expansion of (/ y x) in x 0.179 * [taylor]: Taking taylor expansion of y in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of 1.0 in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of y in y 0.181 * [taylor]: Taking taylor expansion of 1.0 in y 0.183 * [taylor]: Taking taylor expansion of 0 in y 0.185 * [taylor]: Taking taylor expansion of 0 in y 0.186 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ y x) 1.0) x)) in (x y) around 0 0.186 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ y x) 1.0) x)) in y 0.186 * [taylor]: Taking taylor expansion of -1 in y 0.186 * [taylor]: Taking taylor expansion of (/ (+ (/ y x) 1.0) x) in y 0.186 * [taylor]: Taking taylor expansion of (+ (/ y x) 1.0) in y 0.186 * [taylor]: Taking taylor expansion of (/ y x) in y 0.186 * [taylor]: Taking taylor expansion of y in y 0.186 * [taylor]: Taking taylor expansion of x in y 0.186 * [taylor]: Taking taylor expansion of 1.0 in y 0.186 * [taylor]: Taking taylor expansion of x in y 0.186 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ y x) 1.0) x)) in x 0.186 * [taylor]: Taking taylor expansion of -1 in x 0.186 * [taylor]: Taking taylor expansion of (/ (+ (/ y x) 1.0) x) in x 0.186 * [taylor]: Taking taylor expansion of (+ (/ y x) 1.0) in x 0.186 * [taylor]: Taking taylor expansion of (/ y x) in x 0.186 * [taylor]: Taking taylor expansion of y in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of 1.0 in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ y x) 1.0) x)) in x 0.186 * [taylor]: Taking taylor expansion of -1 in x 0.186 * [taylor]: Taking taylor expansion of (/ (+ (/ y x) 1.0) x) in x 0.187 * [taylor]: Taking taylor expansion of (+ (/ y x) 1.0) in x 0.187 * [taylor]: Taking taylor expansion of (/ y x) in x 0.187 * [taylor]: Taking taylor expansion of y in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of 1.0 in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.187 * [taylor]: Taking taylor expansion of -1 in y 0.187 * [taylor]: Taking taylor expansion of y in y 0.194 * [taylor]: Taking taylor expansion of (- 1.0) in y 0.194 * [taylor]: Taking taylor expansion of 1.0 in y 0.197 * [taylor]: Taking taylor expansion of 0 in y 0.201 * [taylor]: Taking taylor expansion of 0 in y 0.202 * * * [progress]: simplifying candidates 0.203 * [simplify]: Simplifying using # : (expm1 (/ (* x (+ (/ x y) 1.0)) (+ x 1.0))) (log1p (/ (* x (+ (/ x y) 1.0)) (+ x 1.0))) (- (+ (log x) (log (+ (/ x y) 1.0))) (log (+ x 1.0))) (- (log (* x (+ (/ x y) 1.0))) (log (+ x 1.0))) (log (/ (* x (+ (/ x y) 1.0)) (+ x 1.0))) (exp (/ (* x (+ (/ x y) 1.0)) (+ x 1.0))) (/ (* (* (* x x) x) (* (* (+ (/ x y) 1.0) (+ (/ x y) 1.0)) (+ (/ x y) 1.0))) (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0))) (/ (* (* (* x (+ (/ x y) 1.0)) (* x (+ (/ x y) 1.0))) (* x (+ (/ x y) 1.0))) (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0))) (* (cbrt (/ (* x (+ (/ x y) 1.0)) (+ x 1.0))) (cbrt (/ (* x (+ (/ x y) 1.0)) (+ x 1.0)))) (cbrt (/ (* x (+ (/ x y) 1.0)) (+ x 1.0))) (* (* (/ (* x (+ (/ x y) 1.0)) (+ x 1.0)) (/ (* x (+ (/ x y) 1.0)) (+ x 1.0))) (/ (* x (+ (/ x y) 1.0)) (+ x 1.0))) (sqrt (/ (* x (+ (/ x y) 1.0)) (+ x 1.0))) (sqrt (/ (* x (+ (/ x y) 1.0)) (+ x 1.0))) (- (* x (+ (/ x y) 1.0))) (- (+ x 1.0)) (/ x (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (+ (/ x y) 1.0) (cbrt (+ x 1.0))) (/ x (sqrt (+ x 1.0))) (/ (+ (/ x y) 1.0) (sqrt (+ x 1.0))) (/ x 1) (/ (+ (/ x y) 1.0) (+ x 1.0)) (/ x 1) (/ (+ (/ x y) 1.0) (+ x 1.0)) (/ 1 (+ x 1.0)) (/ (+ x 1.0) (* x (+ (/ x y) 1.0))) (/ (* x (+ (/ x y) 1.0)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (* x (+ (/ x y) 1.0)) (sqrt (+ x 1.0))) (/ (* x (+ (/ x y) 1.0)) 1) (/ (* x (+ (/ x y) 1.0)) 1) (/ (+ x 1.0) (+ (/ x y) 1.0)) (/ (* x (+ (/ x y) 1.0)) (+ (pow x 3) (pow 1.0 3))) (/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0))) (* (+ x 1.0) (+ (* (/ x y) (/ x y)) (- (* 1.0 1.0) (* (/ x y) 1.0)))) (* (+ x 1.0) (- (/ x y) 1.0)) (expm1 (* x (+ (/ x y) 1.0))) (log1p (* x (+ (/ x y) 1.0))) (* x (+ (/ x y) 1.0)) (+ (log x) (log (+ (/ x y) 1.0))) (log (* x (+ (/ x y) 1.0))) (exp (* x (+ (/ x y) 1.0))) (* (* (* x x) x) (* (* (+ (/ x y) 1.0) (+ (/ x y) 1.0)) (+ (/ x y) 1.0))) (* (cbrt (* x (+ (/ x y) 1.0))) (cbrt (* x (+ (/ x y) 1.0)))) (cbrt (* x (+ (/ x y) 1.0))) (* (* (* x (+ (/ x y) 1.0)) (* x (+ (/ x y) 1.0))) (* x (+ (/ x y) 1.0))) (sqrt (* x (+ (/ x y) 1.0))) (sqrt (* x (+ (/ x y) 1.0))) (* (sqrt x) (sqrt (+ (/ x y) 1.0))) (* (sqrt x) (sqrt (+ (/ x y) 1.0))) (* x (/ x y)) (* x 1.0) (* (/ x y) x) (* 1.0 x) (* x (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))) (* x (sqrt (+ (/ x y) 1.0))) (* x 1) (* x 1) (* (cbrt x) (+ (/ x y) 1.0)) (* (sqrt x) (+ (/ x y) 1.0)) (* x (+ (/ x y) 1.0)) (* x (+ (pow (/ x y) 3) (pow 1.0 3))) (* x (- (* (/ x y) (/ x y)) (* 1.0 1.0))) (- (+ (* 1.0 x) (* 1.0 (/ (pow x 2) y))) (* 1.0 (/ (pow x 3) y))) (- (+ 1.0 (/ x y)) (* 1.0 (/ 1 x))) (- (+ 1.0 (/ x y)) (* 1.0 (/ 1 x))) (+ (* 1.0 x) (/ (pow x 2) y)) (+ (* 1.0 x) (/ (pow x 2) y)) (+ (* 1.0 x) (/ (pow x 2) y)) 0.208 * * [simplify]: iteration 0 : 306 enodes (cost 352 ) 0.215 * * [simplify]: iteration 1 : 1568 enodes (cost 305 ) 0.247 * * [simplify]: iteration 2 : 5001 enodes (cost 304 ) 0.249 * [simplify]: Simplified to: (expm1 (/ (* x (+ (/ x y) 1.0)) (+ x 1.0))) (log1p (/ (* x (+ (/ x y) 1.0)) (+ x 1.0))) (log (/ (* x (+ (/ x y) 1.0)) (+ x 1.0))) (log (/ (* x (+ (/ x y) 1.0)) (+ x 1.0))) (log (/ (* x (+ (/ x y) 1.0)) (+ x 1.0))) (exp (/ (* x (+ (/ x y) 1.0)) (+ x 1.0))) (pow (/ (* x (+ (/ x y) 1.0)) (+ x 1.0)) 3) (pow (/ (* x (+ (/ x y) 1.0)) (+ x 1.0)) 3) (* (cbrt (/ (* x (+ (/ x y) 1.0)) (+ x 1.0))) (cbrt (/ (* x (+ (/ x y) 1.0)) (+ x 1.0)))) (cbrt (/ (* x (+ (/ x y) 1.0)) (+ x 1.0))) (pow (/ (* x (+ (/ x y) 1.0)) (+ x 1.0)) 3) (sqrt (/ (* x (+ (/ x y) 1.0)) (+ x 1.0))) (sqrt (/ (* x (+ (/ x y) 1.0)) (+ x 1.0))) (- (* x (+ (/ x y) 1.0))) (- (+ x 1.0)) (/ x (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (+ (/ x y) 1.0) (cbrt (+ x 1.0))) (/ x (sqrt (+ x 1.0))) (/ (+ (/ x y) 1.0) (sqrt (+ x 1.0))) x (/ (+ (/ x y) 1.0) (+ x 1.0)) x (/ (+ (/ x y) 1.0) (+ x 1.0)) (/ 1 (+ x 1.0)) (/ (+ x 1.0) (* x (+ (/ x y) 1.0))) (/ (* x (+ (/ x y) 1.0)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (* x (+ (/ x y) 1.0)) (sqrt (+ x 1.0))) (* x (+ (/ x y) 1.0)) (* x (+ (/ x y) 1.0)) (/ (+ x 1.0) (+ (/ x y) 1.0)) (/ (* x (+ (/ x y) 1.0)) (+ (pow x 3) (pow 1.0 3))) (/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0))) (* (fma 1.0 (- 1.0 (/ x y)) (* (/ x y) (/ x y))) (+ 1.0 x)) (* (+ x 1.0) (- (/ x y) 1.0)) (expm1 (* x (+ (/ x y) 1.0))) (log1p (* x (+ (/ x y) 1.0))) (* x (+ (/ x y) 1.0)) (log (* x (+ (/ x y) 1.0))) (log (* x (+ (/ x y) 1.0))) (exp (* x (+ (/ x y) 1.0))) (pow (* x (+ (/ x y) 1.0)) 3) (* (cbrt (* x (+ (/ x y) 1.0))) (cbrt (* x (+ (/ x y) 1.0)))) (cbrt (* x (+ (/ x y) 1.0))) (pow (* x (+ (/ x y) 1.0)) 3) (sqrt (* x (+ (/ x y) 1.0))) (sqrt (* x (+ (/ x y) 1.0))) (* (sqrt x) (sqrt (+ (/ x y) 1.0))) (* (sqrt x) (sqrt (+ (/ x y) 1.0))) (* x (/ x y)) (* x 1.0) (* x (/ x y)) (* x 1.0) (* x (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))) (* x (sqrt (+ (/ x y) 1.0))) x x (* (cbrt x) (+ (/ x y) 1.0)) (* (sqrt x) (+ (/ x y) 1.0)) (* x (+ (/ x y) 1.0)) (* x (+ (pow (/ x y) 3) (pow 1.0 3))) (* x (- (* (/ x y) (/ x y)) (* 1.0 1.0))) (* 1.0 (- (+ x (/ (pow x 2) y)) (/ (pow x 3) y))) (- (+ 1.0 (/ x y)) (* 1.0 (/ 1 x))) (- (+ 1.0 (/ x y)) (* 1.0 (/ 1 x))) (* x (+ (/ x y) 1.0)) (* x (+ (/ x y) 1.0)) (* x (+ (/ x y) 1.0)) 0.250 * * * [progress]: adding candidates to table 0.354 * * [progress]: iteration 2 / 4 0.354 * * * [progress]: picking best candidate 0.364 * * * * [pick]: Picked # 0.364 * * * [progress]: localizing error 0.371 * * * [progress]: generating rewritten candidates 0.371 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.384 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.403 * * * [progress]: generating series expansions 0.403 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.403 * [approximate]: Taking taylor expansion of (/ (* x (+ (/ x y) 1.0)) (+ x 1.0)) in (x y) around 0 0.403 * [taylor]: Taking taylor expansion of (/ (* x (+ (/ x y) 1.0)) (+ x 1.0)) in y 0.403 * [taylor]: Taking taylor expansion of (* x (+ (/ x y) 1.0)) in y 0.403 * [taylor]: Taking taylor expansion of x in y 0.403 * [taylor]: Taking taylor expansion of (+ (/ x y) 1.0) in y 0.403 * [taylor]: Taking taylor expansion of (/ x y) in y 0.403 * [taylor]: Taking taylor expansion of x in y 0.403 * [taylor]: Taking taylor expansion of y in y 0.403 * [taylor]: Taking taylor expansion of 1.0 in y 0.403 * [taylor]: Taking taylor expansion of (+ x 1.0) in y 0.403 * [taylor]: Taking taylor expansion of x in y 0.403 * [taylor]: Taking taylor expansion of 1.0 in y 0.404 * [taylor]: Taking taylor expansion of (/ (* x (+ (/ x y) 1.0)) (+ x 1.0)) in x 0.404 * [taylor]: Taking taylor expansion of (* x (+ (/ x y) 1.0)) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.404 * [taylor]: Taking taylor expansion of (+ (/ x y) 1.0) in x 0.404 * [taylor]: Taking taylor expansion of (/ x y) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.404 * [taylor]: Taking taylor expansion of y in x 0.404 * [taylor]: Taking taylor expansion of 1.0 in x 0.404 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.404 * [taylor]: Taking taylor expansion of 1.0 in x 0.406 * [taylor]: Taking taylor expansion of (/ (* x (+ (/ x y) 1.0)) (+ x 1.0)) in x 0.406 * [taylor]: Taking taylor expansion of (* x (+ (/ x y) 1.0)) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.406 * [taylor]: Taking taylor expansion of (+ (/ x y) 1.0) in x 0.406 * [taylor]: Taking taylor expansion of (/ x y) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.406 * [taylor]: Taking taylor expansion of y in x 0.406 * [taylor]: Taking taylor expansion of 1.0 in x 0.406 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.406 * [taylor]: Taking taylor expansion of 1.0 in x 0.408 * [taylor]: Taking taylor expansion of 1.0 in y 0.415 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 y)) 1.0) in y 0.415 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.415 * [taylor]: Taking taylor expansion of 1.0 in y 0.415 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.415 * [taylor]: Taking taylor expansion of y in y 0.416 * [taylor]: Taking taylor expansion of 1.0 in y 0.419 * [taylor]: Taking taylor expansion of (- 1.0 (* 1.0 (/ 1 y))) in y 0.419 * [taylor]: Taking taylor expansion of 1.0 in y 0.419 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.419 * [taylor]: Taking taylor expansion of 1.0 in y 0.419 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.419 * [taylor]: Taking taylor expansion of y in y 0.421 * [approximate]: Taking taylor expansion of (/ (+ (/ y x) 1.0) (* x (+ 1.0 (/ 1 x)))) in (x y) around 0 0.421 * [taylor]: Taking taylor expansion of (/ (+ (/ y x) 1.0) (* x (+ 1.0 (/ 1 x)))) in y 0.421 * [taylor]: Taking taylor expansion of (+ (/ y x) 1.0) in y 0.421 * [taylor]: Taking taylor expansion of (/ y x) in y 0.421 * [taylor]: Taking taylor expansion of y in y 0.421 * [taylor]: Taking taylor expansion of x in y 0.421 * [taylor]: Taking taylor expansion of 1.0 in y 0.421 * [taylor]: Taking taylor expansion of (* x (+ 1.0 (/ 1 x))) in y 0.421 * [taylor]: Taking taylor expansion of x in y 0.421 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in y 0.421 * [taylor]: Taking taylor expansion of 1.0 in y 0.421 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.421 * [taylor]: Taking taylor expansion of x in y 0.422 * [taylor]: Taking taylor expansion of (/ (+ (/ y x) 1.0) (* x (+ 1.0 (/ 1 x)))) in x 0.422 * [taylor]: Taking taylor expansion of (+ (/ y x) 1.0) in x 0.422 * [taylor]: Taking taylor expansion of (/ y x) in x 0.422 * [taylor]: Taking taylor expansion of y in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.422 * [taylor]: Taking taylor expansion of 1.0 in x 0.422 * [taylor]: Taking taylor expansion of (* x (+ 1.0 (/ 1 x))) in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.422 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.422 * [taylor]: Taking taylor expansion of 1.0 in x 0.422 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.424 * [taylor]: Taking taylor expansion of (/ (+ (/ y x) 1.0) (* x (+ 1.0 (/ 1 x)))) in x 0.424 * [taylor]: Taking taylor expansion of (+ (/ y x) 1.0) in x 0.424 * [taylor]: Taking taylor expansion of (/ y x) in x 0.424 * [taylor]: Taking taylor expansion of y in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.424 * [taylor]: Taking taylor expansion of 1.0 in x 0.424 * [taylor]: Taking taylor expansion of (* x (+ 1.0 (/ 1 x))) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.424 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.424 * [taylor]: Taking taylor expansion of 1.0 in x 0.424 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.426 * [taylor]: Taking taylor expansion of y in y 0.431 * [taylor]: Taking taylor expansion of (- 1.0 (* 1.0 y)) in y 0.431 * [taylor]: Taking taylor expansion of 1.0 in y 0.431 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.431 * [taylor]: Taking taylor expansion of 1.0 in y 0.431 * [taylor]: Taking taylor expansion of y in y 0.435 * [taylor]: Taking taylor expansion of (- (* 1.0 y) 1.0) in y 0.435 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.435 * [taylor]: Taking taylor expansion of 1.0 in y 0.435 * [taylor]: Taking taylor expansion of y in y 0.435 * [taylor]: Taking taylor expansion of 1.0 in y 0.437 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ y x) 1.0) (* (- 1.0 (/ 1 x)) x))) in (x y) around 0 0.437 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ y x) 1.0) (* (- 1.0 (/ 1 x)) x))) in y 0.437 * [taylor]: Taking taylor expansion of -1 in y 0.437 * [taylor]: Taking taylor expansion of (/ (+ (/ y x) 1.0) (* (- 1.0 (/ 1 x)) x)) in y 0.437 * [taylor]: Taking taylor expansion of (+ (/ y x) 1.0) in y 0.437 * [taylor]: Taking taylor expansion of (/ y x) in y 0.437 * [taylor]: Taking taylor expansion of y in y 0.437 * [taylor]: Taking taylor expansion of x in y 0.437 * [taylor]: Taking taylor expansion of 1.0 in y 0.437 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) x) in y 0.437 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in y 0.437 * [taylor]: Taking taylor expansion of 1.0 in y 0.437 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.437 * [taylor]: Taking taylor expansion of x in y 0.437 * [taylor]: Taking taylor expansion of x in y 0.438 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ y x) 1.0) (* (- 1.0 (/ 1 x)) x))) in x 0.438 * [taylor]: Taking taylor expansion of -1 in x 0.438 * [taylor]: Taking taylor expansion of (/ (+ (/ y x) 1.0) (* (- 1.0 (/ 1 x)) x)) in x 0.438 * [taylor]: Taking taylor expansion of (+ (/ y x) 1.0) in x 0.438 * [taylor]: Taking taylor expansion of (/ y x) in x 0.438 * [taylor]: Taking taylor expansion of y in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.438 * [taylor]: Taking taylor expansion of 1.0 in x 0.438 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) x) in x 0.438 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.438 * [taylor]: Taking taylor expansion of 1.0 in x 0.438 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.440 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ y x) 1.0) (* (- 1.0 (/ 1 x)) x))) in x 0.441 * [taylor]: Taking taylor expansion of -1 in x 0.441 * [taylor]: Taking taylor expansion of (/ (+ (/ y x) 1.0) (* (- 1.0 (/ 1 x)) x)) in x 0.441 * [taylor]: Taking taylor expansion of (+ (/ y x) 1.0) in x 0.441 * [taylor]: Taking taylor expansion of (/ y x) in x 0.441 * [taylor]: Taking taylor expansion of y in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of 1.0 in x 0.441 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) x) in x 0.441 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.441 * [taylor]: Taking taylor expansion of 1.0 in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of y in y 0.447 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) 1.0) in y 0.447 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.447 * [taylor]: Taking taylor expansion of 1.0 in y 0.447 * [taylor]: Taking taylor expansion of y in y 0.447 * [taylor]: Taking taylor expansion of 1.0 in y 0.452 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) 1.0) in y 0.452 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.452 * [taylor]: Taking taylor expansion of 1.0 in y 0.452 * [taylor]: Taking taylor expansion of y in y 0.452 * [taylor]: Taking taylor expansion of 1.0 in y 0.453 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.453 * [approximate]: Taking taylor expansion of (/ (+ x 1.0) (+ (/ x y) 1.0)) in (x y) around 0 0.453 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (+ (/ x y) 1.0)) in y 0.453 * [taylor]: Taking taylor expansion of (+ x 1.0) in y 0.453 * [taylor]: Taking taylor expansion of x in y 0.453 * [taylor]: Taking taylor expansion of 1.0 in y 0.453 * [taylor]: Taking taylor expansion of (+ (/ x y) 1.0) in y 0.453 * [taylor]: Taking taylor expansion of (/ x y) in y 0.453 * [taylor]: Taking taylor expansion of x in y 0.453 * [taylor]: Taking taylor expansion of y in y 0.453 * [taylor]: Taking taylor expansion of 1.0 in y 0.453 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (+ (/ x y) 1.0)) in x 0.453 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.453 * [taylor]: Taking taylor expansion of 1.0 in x 0.453 * [taylor]: Taking taylor expansion of (+ (/ x y) 1.0) in x 0.453 * [taylor]: Taking taylor expansion of (/ x y) in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.453 * [taylor]: Taking taylor expansion of y in x 0.453 * [taylor]: Taking taylor expansion of 1.0 in x 0.454 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (+ (/ x y) 1.0)) in x 0.454 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.454 * [taylor]: Taking taylor expansion of 1.0 in x 0.454 * [taylor]: Taking taylor expansion of (+ (/ x y) 1.0) in x 0.454 * [taylor]: Taking taylor expansion of (/ x y) in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.454 * [taylor]: Taking taylor expansion of y in x 0.454 * [taylor]: Taking taylor expansion of 1.0 in x 0.455 * [taylor]: Taking taylor expansion of 1.0 in y 0.456 * [taylor]: Taking taylor expansion of (- 1.0 (* 1.0 (/ 1 y))) in y 0.456 * [taylor]: Taking taylor expansion of 1.0 in y 0.456 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.456 * [taylor]: Taking taylor expansion of 1.0 in y 0.456 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.456 * [taylor]: Taking taylor expansion of y in y 0.460 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow y 2))) (* 1.0 (/ 1 y))) in y 0.460 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow y 2))) in y 0.460 * [taylor]: Taking taylor expansion of 1.0 in y 0.460 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.460 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.460 * [taylor]: Taking taylor expansion of y in y 0.461 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.461 * [taylor]: Taking taylor expansion of 1.0 in y 0.461 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.461 * [taylor]: Taking taylor expansion of y in y 0.468 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (+ (/ y x) 1.0)) in (x y) around 0 0.468 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (+ (/ y x) 1.0)) in y 0.468 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in y 0.468 * [taylor]: Taking taylor expansion of 1.0 in y 0.468 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.468 * [taylor]: Taking taylor expansion of x in y 0.468 * [taylor]: Taking taylor expansion of (+ (/ y x) 1.0) in y 0.468 * [taylor]: Taking taylor expansion of (/ y x) in y 0.468 * [taylor]: Taking taylor expansion of y in y 0.468 * [taylor]: Taking taylor expansion of x in y 0.468 * [taylor]: Taking taylor expansion of 1.0 in y 0.468 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (+ (/ y x) 1.0)) in x 0.469 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.469 * [taylor]: Taking taylor expansion of 1.0 in x 0.469 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.469 * [taylor]: Taking taylor expansion of (+ (/ y x) 1.0) in x 0.469 * [taylor]: Taking taylor expansion of (/ y x) in x 0.469 * [taylor]: Taking taylor expansion of y in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.469 * [taylor]: Taking taylor expansion of 1.0 in x 0.469 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (+ (/ y x) 1.0)) in x 0.469 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.469 * [taylor]: Taking taylor expansion of 1.0 in x 0.469 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.470 * [taylor]: Taking taylor expansion of (+ (/ y x) 1.0) in x 0.470 * [taylor]: Taking taylor expansion of (/ y x) in x 0.470 * [taylor]: Taking taylor expansion of y in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.470 * [taylor]: Taking taylor expansion of 1.0 in x 0.470 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.470 * [taylor]: Taking taylor expansion of y in y 0.472 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 y)) (* 1.0 (/ 1 (pow y 2)))) in y 0.472 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.473 * [taylor]: Taking taylor expansion of 1.0 in y 0.473 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.473 * [taylor]: Taking taylor expansion of y in y 0.473 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow y 2))) in y 0.473 * [taylor]: Taking taylor expansion of 1.0 in y 0.473 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.473 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.473 * [taylor]: Taking taylor expansion of y in y 0.480 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow y 3))) (* 1.0 (/ 1 (pow y 2)))) in y 0.480 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow y 3))) in y 0.480 * [taylor]: Taking taylor expansion of 1.0 in y 0.480 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.480 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.480 * [taylor]: Taking taylor expansion of y in y 0.481 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow y 2))) in y 0.481 * [taylor]: Taking taylor expansion of 1.0 in y 0.481 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.481 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.481 * [taylor]: Taking taylor expansion of y in y 0.492 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ y x) 1.0)) in (x y) around 0 0.492 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ y x) 1.0)) in y 0.492 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in y 0.492 * [taylor]: Taking taylor expansion of 1.0 in y 0.492 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.492 * [taylor]: Taking taylor expansion of x in y 0.492 * [taylor]: Taking taylor expansion of (+ (/ y x) 1.0) in y 0.492 * [taylor]: Taking taylor expansion of (/ y x) in y 0.492 * [taylor]: Taking taylor expansion of y in y 0.492 * [taylor]: Taking taylor expansion of x in y 0.492 * [taylor]: Taking taylor expansion of 1.0 in y 0.493 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ y x) 1.0)) in x 0.493 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.493 * [taylor]: Taking taylor expansion of 1.0 in x 0.493 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.493 * [taylor]: Taking taylor expansion of x in x 0.493 * [taylor]: Taking taylor expansion of (+ (/ y x) 1.0) in x 0.493 * [taylor]: Taking taylor expansion of (/ y x) in x 0.493 * [taylor]: Taking taylor expansion of y in x 0.493 * [taylor]: Taking taylor expansion of x in x 0.493 * [taylor]: Taking taylor expansion of 1.0 in x 0.494 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ y x) 1.0)) in x 0.494 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.494 * [taylor]: Taking taylor expansion of 1.0 in x 0.494 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.494 * [taylor]: Taking taylor expansion of x in x 0.494 * [taylor]: Taking taylor expansion of (+ (/ y x) 1.0) in x 0.494 * [taylor]: Taking taylor expansion of (/ y x) in x 0.494 * [taylor]: Taking taylor expansion of y in x 0.494 * [taylor]: Taking taylor expansion of x in x 0.494 * [taylor]: Taking taylor expansion of 1.0 in x 0.495 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.495 * [taylor]: Taking taylor expansion of -1 in y 0.495 * [taylor]: Taking taylor expansion of y in y 0.502 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 y)) (* 1.0 (/ 1 (pow y 2)))) in y 0.502 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.502 * [taylor]: Taking taylor expansion of 1.0 in y 0.502 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.502 * [taylor]: Taking taylor expansion of y in y 0.503 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow y 2))) in y 0.503 * [taylor]: Taking taylor expansion of 1.0 in y 0.503 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.503 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.503 * [taylor]: Taking taylor expansion of y in y 0.509 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 (pow y 3))) (* 1.0 (/ 1 (pow y 2))))) in y 0.509 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (pow y 3))) (* 1.0 (/ 1 (pow y 2)))) in y 0.509 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow y 3))) in y 0.509 * [taylor]: Taking taylor expansion of 1.0 in y 0.509 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.509 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.509 * [taylor]: Taking taylor expansion of y in y 0.510 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow y 2))) in y 0.510 * [taylor]: Taking taylor expansion of 1.0 in y 0.510 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.510 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.510 * [taylor]: Taking taylor expansion of y in y 0.521 * * * [progress]: simplifying candidates 0.524 * [simplify]: Simplifying using # : (expm1 (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))) (log1p (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))) (- (log x) (- (log (+ x 1.0)) (log (+ (/ x y) 1.0)))) (- (log x) (log (/ (+ x 1.0) (+ (/ x y) 1.0)))) (log (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))) (exp (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))) (/ (* (* x x) x) (/ (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0)) (* (* (+ (/ x y) 1.0) (+ (/ x y) 1.0)) (+ (/ x y) 1.0)))) (/ (* (* x x) x) (* (* (/ (+ x 1.0) (+ (/ x y) 1.0)) (/ (+ x 1.0) (+ (/ x y) 1.0))) (/ (+ x 1.0) (+ (/ x y) 1.0)))) (* (cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))) (cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))) (cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))) (* (* (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))) (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))) (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))) (sqrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))) (sqrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))) (- x) (- (/ (+ x 1.0) (+ (/ x y) 1.0))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0))) (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0))))) (/ (cbrt x) (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))) (/ (* (cbrt x) (cbrt x)) (sqrt (/ (+ x 1.0) (+ (/ x y) 1.0)))) (/ (cbrt x) (sqrt (/ (+ x 1.0) (+ (/ x y) 1.0)))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0))))) (/ (cbrt x) (/ (cbrt (+ x 1.0)) (cbrt (+ (/ x y) 1.0)))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (sqrt (+ (/ x 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(/ (sqrt x) (/ (sqrt (+ x 1.0)) (+ (/ x y) 1.0))) (/ (sqrt x) (/ (sqrt (+ x 1.0)) 1)) (/ (sqrt x) (/ (sqrt (+ x 1.0)) (+ (/ x y) 1.0))) (/ (sqrt x) (/ 1 (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0))))) (/ (sqrt x) (/ (+ x 1.0) (cbrt (+ (/ x y) 1.0)))) (/ (sqrt x) (/ 1 (sqrt (+ (/ x y) 1.0)))) (/ (sqrt x) (/ (+ x 1.0) (sqrt (+ (/ x y) 1.0)))) (/ (sqrt x) (/ 1 1)) (/ (sqrt x) (/ (+ x 1.0) (+ (/ x y) 1.0))) (/ (sqrt x) (/ 1 1)) (/ (sqrt x) (/ (+ x 1.0) (+ (/ x y) 1.0))) (/ (sqrt x) (/ 1 (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0))))) (/ (sqrt x) (/ (+ x 1.0) (cbrt (+ (/ x y) 1.0)))) (/ (sqrt x) (/ 1 (sqrt (+ (/ x y) 1.0)))) (/ (sqrt x) (/ (+ x 1.0) (sqrt (+ (/ x y) 1.0)))) (/ (sqrt x) (/ 1 1)) (/ (sqrt x) (/ (+ x 1.0) (+ (/ x y) 1.0))) (/ (sqrt x) (/ 1 1)) (/ (sqrt x) (/ (+ x 1.0) (+ (/ x y) 1.0))) (/ (sqrt x) 1) (/ (sqrt x) (/ (+ x 1.0) (+ (/ x y) 1.0))) (/ (sqrt x) (+ x 1.0)) (/ (sqrt x) (/ 1 (+ (/ x y) 1.0))) (/ (sqrt x) (/ (+ x 1.0) (+ (pow (/ x y) 3) (pow 1.0 3)))) (/ (sqrt x) (+ (* (/ x y) (/ x y)) (- (* 1.0 1.0) (* (/ x y) 1.0)))) (/ (sqrt x) (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))) (/ (sqrt x) (- (/ x y) 1.0)) (/ 1 (* (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0))) (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0))))) (/ x (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))) (/ 1 (sqrt (/ (+ x 1.0) (+ (/ x y) 1.0)))) (/ x (sqrt (/ (+ x 1.0) (+ (/ x y) 1.0)))) (/ 1 (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0))))) (/ x (/ (cbrt (+ x 1.0)) (cbrt (+ (/ x y) 1.0)))) (/ 1 (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (sqrt (+ (/ x y) 1.0)))) (/ x (/ (cbrt (+ x 1.0)) (sqrt (+ (/ x y) 1.0)))) (/ 1 (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) 1)) (/ x (/ (cbrt (+ x 1.0)) (+ (/ x y) 1.0))) (/ 1 (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) 1)) (/ x (/ (cbrt (+ x 1.0)) (+ (/ x y) 1.0))) (/ 1 (/ (sqrt (+ x 1.0)) (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0))))) (/ x (/ (sqrt (+ x 1.0)) (cbrt (+ (/ x y) 1.0)))) (/ 1 (/ (sqrt (+ x 1.0)) (sqrt (+ (/ x y) 1.0)))) (/ x 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1.0 1.0)))) (/ x (- (/ x y) 1.0)) (/ 1 (/ (+ x 1.0) (+ (/ x y) 1.0))) (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x) (/ x (* (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0))) (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0))))) (/ x (sqrt (/ (+ x 1.0) (+ (/ x y) 1.0)))) (/ x (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0))))) (/ x (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (sqrt (+ (/ x y) 1.0)))) (/ x (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) 1)) (/ x (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) 1)) (/ x (/ (sqrt (+ x 1.0)) (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0))))) (/ x (/ (sqrt (+ x 1.0)) (sqrt (+ (/ x y) 1.0)))) (/ x (/ (sqrt (+ x 1.0)) 1)) (/ x (/ (sqrt (+ x 1.0)) 1)) (/ x (/ 1 (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0))))) (/ x (/ 1 (sqrt (+ (/ x y) 1.0)))) (/ x (/ 1 1)) (/ x (/ 1 1)) (/ x (/ 1 (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0))))) (/ x (/ 1 (sqrt (+ (/ x y) 1.0)))) (/ x (/ 1 1)) (/ x (/ 1 1)) (/ x 1) (/ x (+ x 1.0)) (/ x (/ (+ x 1.0) (+ (pow (/ x y) 3) (pow 1.0 3)))) (/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))) (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) (cbrt x)) (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) (sqrt x)) (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x) (/ x (+ x 1.0)) (expm1 (/ (+ x 1.0) (+ (/ x y) 1.0))) (log1p (/ (+ x 1.0) (+ (/ x y) 1.0))) (- (log (+ x 1.0)) (log (+ (/ x y) 1.0))) (log (/ (+ x 1.0) (+ (/ x y) 1.0))) (exp (/ (+ x 1.0) (+ (/ x y) 1.0))) (/ (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0)) (* (* (+ (/ x y) 1.0) (+ (/ x y) 1.0)) (+ (/ x y) 1.0))) (* (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0))) (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))) (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0))) (* (* (/ (+ x 1.0) (+ (/ x y) 1.0)) (/ (+ x 1.0) (+ (/ x y) 1.0))) (/ (+ x 1.0) (+ (/ x y) 1.0))) (sqrt (/ (+ x 1.0) (+ (/ x y) 1.0))) (sqrt (/ (+ x 1.0) (+ (/ x y) 1.0))) (- (+ x 1.0)) (- (+ (/ x y) 1.0)) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))) (/ (cbrt (+ x 1.0)) (cbrt (+ (/ x y) 1.0))) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (sqrt (+ (/ x y) 1.0))) (/ (cbrt (+ x 1.0)) (sqrt (+ (/ x y) 1.0))) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) 1) (/ (cbrt (+ x 1.0)) (+ (/ x y) 1.0)) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) 1) (/ (cbrt (+ x 1.0)) (+ (/ x y) 1.0)) (/ (sqrt (+ x 1.0)) (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))) (/ (sqrt (+ x 1.0)) (cbrt (+ (/ x y) 1.0))) (/ (sqrt (+ x 1.0)) (sqrt (+ (/ x y) 1.0))) (/ (sqrt (+ x 1.0)) (sqrt (+ (/ x y) 1.0))) (/ (sqrt (+ x 1.0)) 1) (/ (sqrt (+ x 1.0)) (+ (/ x y) 1.0)) (/ (sqrt (+ x 1.0)) 1) (/ (sqrt (+ x 1.0)) (+ (/ x y) 1.0)) (/ 1 (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))) (/ (+ x 1.0) (cbrt (+ (/ x y) 1.0))) (/ 1 (sqrt (+ (/ x y) 1.0))) (/ (+ x 1.0) (sqrt (+ (/ x y) 1.0))) (/ 1 1) (/ (+ x 1.0) (+ (/ x y) 1.0)) (/ 1 1) (/ (+ x 1.0) (+ (/ x y) 1.0)) (/ 1 (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))) (/ (+ x 1.0) (cbrt (+ (/ x y) 1.0))) (/ 1 (sqrt (+ (/ x y) 1.0))) (/ (+ x 1.0) (sqrt (+ (/ x y) 1.0))) (/ 1 1) (/ (+ x 1.0) (+ (/ x y) 1.0)) (/ 1 1) (/ (+ x 1.0) (+ (/ x y) 1.0)) (/ 1 (+ (/ x y) 1.0)) (/ (+ (/ x y) 1.0) (+ x 1.0)) (/ (+ x 1.0) (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))) (/ (+ x 1.0) (sqrt (+ (/ x y) 1.0))) (/ (+ x 1.0) 1) (/ (+ x 1.0) 1) (/ (+ (/ x y) 1.0) (cbrt (+ x 1.0))) (/ (+ (/ x y) 1.0) (sqrt (+ x 1.0))) (/ (+ (/ x y) 1.0) (+ x 1.0)) (/ (+ (/ x y) 1.0) (+ x 1.0)) (/ (+ x 1.0) (+ (pow (/ x y) 3) (pow 1.0 3))) (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))) (* (+ (/ x y) 1.0) (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (* (+ (/ x y) 1.0) (- x 1.0)) (- (+ (* 1.0 x) (* 1.0 (/ (pow x 2) y))) (* 1.0 (/ (pow x 3) y))) (- (+ 1.0 (/ x y)) (* 1.0 (/ 1 x))) (- (+ 1.0 (/ x y)) (* 1.0 (/ 1 x))) 0 0 0 0.532 * * [simplify]: iteration 0 : 504 enodes (cost 1464 ) 0.543 * * [simplify]: iteration 1 : 2390 enodes (cost 1406 ) 0.583 * * [simplify]: iteration 2 : 5002 enodes (cost 1404 ) 0.589 * [simplify]: Simplified to: (expm1 (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))) (log1p (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))) (log (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))) (log (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))) (log (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))) (exp (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))) (pow (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))) 3) (pow (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))) 3) (* (cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))) (cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))) (cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))) (pow (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))) 3) (sqrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))) (sqrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))) (- x) (- (/ (+ x 1.0) (+ (/ x y) 1.0))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0))) (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0))))) (/ (cbrt x) (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))) (/ (* (cbrt x) (cbrt x)) (sqrt (/ (+ x 1.0) (+ (/ x y) 1.0)))) (/ (cbrt x) (sqrt (/ (+ x 1.0) (+ (/ x y) 1.0)))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0))))) (/ (cbrt x) (/ (cbrt (+ x 1.0)) (cbrt (+ (/ x y) 1.0)))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (sqrt (+ (/ x y) 1.0)))) (/ (cbrt x) (/ (cbrt (+ x 1.0)) (sqrt (+ (/ x y) 1.0)))) (/ (cbrt x) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (cbrt x))) (/ (cbrt x) (/ (cbrt (+ x 1.0)) (+ (/ x y) 1.0))) (/ (cbrt x) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (cbrt x))) (/ (cbrt x) (/ (cbrt (+ x 1.0)) (+ (/ x y) 1.0))) (/ (* (cbrt x) (cbrt x)) (/ (sqrt (+ x 1.0)) (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0))))) (/ (cbrt x) (/ (sqrt (+ x 1.0)) (cbrt (+ (/ x y) 1.0)))) (/ (* (cbrt x) (cbrt x)) (/ (sqrt (+ x 1.0)) (sqrt (+ (/ x y) 1.0)))) (/ (cbrt x) (/ (sqrt (+ x 1.0)) (sqrt (+ (/ x y) 1.0)))) (/ (cbrt x) (/ (sqrt (+ x 1.0)) (cbrt x))) (/ (cbrt x) (/ (sqrt (+ x 1.0)) (+ (/ x y) 1.0))) (/ (cbrt x) (/ (sqrt (+ x 1.0)) (cbrt x))) (/ (cbrt x) (/ (sqrt (+ x 1.0)) (+ (/ x y) 1.0))) (* (* (cbrt x) (cbrt x)) (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))) (/ (cbrt x) (/ (+ x 1.0) (cbrt (+ (/ x y) 1.0)))) (* (* (cbrt x) (cbrt x)) (sqrt (+ (/ x y) 1.0))) (/ (cbrt x) (/ (+ x 1.0) (sqrt (+ (/ x y) 1.0)))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (/ (+ x 1.0) (+ (/ x y) 1.0))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (/ (+ x 1.0) (+ (/ x y) 1.0))) (* (* (cbrt x) (cbrt x)) (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))) (/ (cbrt x) (/ (+ x 1.0) (cbrt (+ (/ x y) 1.0)))) (* (* (cbrt x) (cbrt x)) (sqrt (+ (/ x y) 1.0))) (/ (cbrt x) (/ (+ x 1.0) (sqrt (+ (/ x y) 1.0)))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (/ (+ x 1.0) (+ (/ x y) 1.0))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (/ (+ x 1.0) (+ (/ x y) 1.0))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (/ (+ x 1.0) (+ (/ x y) 1.0))) (/ (* (cbrt x) (cbrt x)) (+ x 1.0)) (* (+ (/ x y) 1.0) (cbrt x)) (/ (* (cbrt x) (cbrt x)) (/ (+ x 1.0) (+ (pow (/ x y) 3) (pow 1.0 3)))) (/ (cbrt x) (+ (* (/ x y) (/ x y)) (- (* 1.0 1.0) (* (/ x y) 1.0)))) (/ (* (cbrt x) (cbrt x)) (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))) (/ (cbrt x) (- (/ x y) 1.0)) (/ (sqrt x) (* (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0))) (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0))))) (/ (sqrt x) (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))) (/ (sqrt x) (sqrt (/ (+ x 1.0) (+ (/ x y) 1.0)))) (/ (sqrt x) (sqrt (/ (+ x 1.0) (+ (/ x y) 1.0)))) (/ (sqrt x) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0))))) (/ (sqrt x) (/ (cbrt (+ x 1.0)) (cbrt (+ (/ x y) 1.0)))) (/ (sqrt x) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (sqrt (+ (/ x y) 1.0)))) (/ (sqrt x) (/ (cbrt (+ x 1.0)) (sqrt (+ (/ x y) 1.0)))) (/ (sqrt x) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (sqrt x) (/ (cbrt (+ x 1.0)) (+ (/ x y) 1.0))) (/ (sqrt x) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (sqrt x) (/ (cbrt (+ x 1.0)) (+ (/ x y) 1.0))) (/ (sqrt x) (/ (sqrt (+ x 1.0)) (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0))))) (/ (sqrt x) (/ (sqrt (+ x 1.0)) (cbrt (+ (/ x y) 1.0)))) (/ (sqrt x) (/ (sqrt (+ x 1.0)) (sqrt (+ (/ x y) 1.0)))) (/ (sqrt x) (/ (sqrt (+ x 1.0)) (sqrt (+ (/ x y) 1.0)))) (/ (sqrt x) (sqrt (+ x 1.0))) (/ (sqrt x) (/ (sqrt (+ x 1.0)) (+ (/ x y) 1.0))) (/ (sqrt x) (sqrt (+ x 1.0))) (/ (sqrt x) (/ (sqrt (+ x 1.0)) (+ (/ x y) 1.0))) (* (sqrt x) (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))) (/ (sqrt x) (/ (+ x 1.0) (cbrt (+ (/ x y) 1.0)))) (* (sqrt x) (sqrt (+ (/ x y) 1.0))) (/ (sqrt x) (/ (+ x 1.0) (sqrt (+ (/ x y) 1.0)))) (sqrt x) (/ (sqrt x) (/ (+ x 1.0) (+ (/ x y) 1.0))) (sqrt x) (/ (sqrt x) (/ (+ x 1.0) (+ (/ x y) 1.0))) (* (sqrt x) (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))) (/ (sqrt x) (/ (+ x 1.0) (cbrt (+ (/ x y) 1.0)))) (* (sqrt x) (sqrt (+ (/ x y) 1.0))) (/ (sqrt x) (/ (+ x 1.0) (sqrt (+ (/ x y) 1.0)))) (sqrt x) (/ (sqrt x) (/ (+ x 1.0) (+ (/ x y) 1.0))) (sqrt x) (/ (sqrt x) (/ (+ x 1.0) (+ (/ x y) 1.0))) (sqrt x) (/ (sqrt x) (/ (+ x 1.0) (+ (/ x y) 1.0))) (/ (sqrt x) (+ x 1.0)) (* (sqrt x) (+ (/ x y) 1.0)) (/ (sqrt x) (/ (+ x 1.0) (+ (pow (/ x y) 3) (pow 1.0 3)))) (/ (sqrt x) (fma 1.0 (- 1.0 (/ x y)) (* (/ x y) (/ x y)))) (/ (sqrt x) (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))) (/ (sqrt x) (- (/ x y) 1.0)) (/ 1 (* (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0))) (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0))))) (/ x (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))) (/ 1 (sqrt (/ (+ x 1.0) (+ (/ x y) 1.0)))) (/ x (sqrt (/ (+ x 1.0) (+ (/ x y) 1.0)))) (/ (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ x (/ (cbrt (+ x 1.0)) (cbrt (+ (/ x y) 1.0)))) (/ (sqrt (+ (/ x y) 1.0)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ x (/ (cbrt (+ x 1.0)) (sqrt (+ (/ x y) 1.0)))) (/ 1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ x (/ (cbrt (+ x 1.0)) (+ (/ x y) 1.0))) (/ 1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ x (/ (cbrt (+ x 1.0)) (+ (/ x y) 1.0))) (/ (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0))) (sqrt (+ x 1.0))) (/ x (/ (sqrt (+ x 1.0)) (cbrt (+ (/ x y) 1.0)))) (/ (sqrt (+ (/ x y) 1.0)) (sqrt (+ x 1.0))) (/ x (/ (sqrt (+ x 1.0)) (sqrt (+ (/ x y) 1.0)))) (/ 1 (sqrt (+ x 1.0))) (/ x (/ (sqrt (+ x 1.0)) (+ (/ x y) 1.0))) (/ 1 (sqrt (+ x 1.0))) (/ x (/ (sqrt (+ x 1.0)) (+ (/ x y) 1.0))) (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0))) (/ x (/ (+ x 1.0) (cbrt (+ (/ x y) 1.0)))) (sqrt (+ (/ x y) 1.0)) (/ x (/ (+ x 1.0) (sqrt (+ (/ x y) 1.0)))) 1 (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))) 1 (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))) (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0))) (/ x (/ (+ x 1.0) (cbrt (+ (/ x y) 1.0)))) (sqrt (+ (/ x y) 1.0)) (/ x (/ (+ x 1.0) (sqrt (+ (/ x y) 1.0)))) 1 (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))) 1 (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))) 1 (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))) (/ 1 (+ x 1.0)) (* x (+ (/ x y) 1.0)) (/ 1 (/ (+ x 1.0) (+ (pow (/ x y) 3) (pow 1.0 3)))) (/ x (fma 1.0 (- 1.0 (/ x y)) (* (/ x y) (/ x y)))) (/ 1 (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))) (/ x (- (/ x y) 1.0)) (/ 1 (/ (+ x 1.0) (+ (/ x y) 1.0))) (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x) (/ x (* (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0))) (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0))))) (/ x (sqrt (/ (+ x 1.0) (+ (/ x y) 1.0)))) (/ x (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0))))) (/ x (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (sqrt (+ (/ x y) 1.0)))) (/ x (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ x (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ x (/ (sqrt (+ x 1.0)) (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0))))) (/ x (/ (sqrt (+ x 1.0)) (sqrt (+ (/ x y) 1.0)))) (/ x (sqrt (+ x 1.0))) (/ x (sqrt (+ x 1.0))) (* x (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))) (* x (sqrt (+ (/ x y) 1.0))) x x (* x (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))) (* x (sqrt (+ (/ x y) 1.0))) x x x (/ x (+ x 1.0)) (/ x (/ (+ x 1.0) (+ (pow (/ x y) 3) (pow 1.0 3)))) (/ x (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))) (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) (cbrt x)) (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) (sqrt x)) (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x) (/ x (+ x 1.0)) (expm1 (/ (+ x 1.0) (+ (/ x y) 1.0))) (log1p (/ (+ x 1.0) (+ (/ x y) 1.0))) (log (/ (+ x 1.0) (+ (/ x y) 1.0))) (log (/ (+ x 1.0) (+ (/ x y) 1.0))) (exp (/ (+ x 1.0) (+ (/ x y) 1.0))) (pow (/ (+ x 1.0) (+ (/ x y) 1.0)) 3) (* (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0))) (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))) (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0))) (pow (/ (+ x 1.0) (+ (/ x y) 1.0)) 3) (sqrt (/ (+ x 1.0) (+ (/ x y) 1.0))) (sqrt (/ (+ x 1.0) (+ (/ x y) 1.0))) (- (+ x 1.0)) (- (+ (/ x y) 1.0)) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))) (/ (cbrt (+ x 1.0)) (cbrt (+ (/ x y) 1.0))) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (sqrt (+ (/ x y) 1.0))) (/ (cbrt (+ x 1.0)) (sqrt (+ (/ x y) 1.0))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (/ (cbrt (+ x 1.0)) (+ (/ x y) 1.0)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (/ (cbrt (+ x 1.0)) (+ (/ x y) 1.0)) (/ (sqrt (+ x 1.0)) (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))) (/ (sqrt (+ x 1.0)) (cbrt (+ (/ x y) 1.0))) (/ (sqrt (+ x 1.0)) (sqrt (+ (/ x y) 1.0))) (/ (sqrt (+ x 1.0)) (sqrt (+ (/ x y) 1.0))) (sqrt (+ x 1.0)) (/ (sqrt (+ x 1.0)) (+ (/ x y) 1.0)) (sqrt (+ x 1.0)) (/ (sqrt (+ x 1.0)) (+ (/ x y) 1.0)) (/ 1 (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))) (/ (+ x 1.0) (cbrt (+ (/ x y) 1.0))) (/ 1 (sqrt (+ (/ x y) 1.0))) (/ (+ x 1.0) (sqrt (+ (/ x y) 1.0))) 1 (/ (+ x 1.0) (+ (/ x y) 1.0)) 1 (/ (+ x 1.0) (+ (/ x y) 1.0)) (/ 1 (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))) (/ (+ x 1.0) (cbrt (+ (/ x y) 1.0))) (/ 1 (sqrt (+ (/ x y) 1.0))) (/ (+ x 1.0) (sqrt (+ (/ x y) 1.0))) 1 (/ (+ x 1.0) (+ (/ x y) 1.0)) 1 (/ (+ x 1.0) (+ (/ x y) 1.0)) (/ 1 (+ (/ x y) 1.0)) (/ (+ (/ x y) 1.0) (+ x 1.0)) (/ (+ x 1.0) (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))) (/ (+ x 1.0) (sqrt (+ (/ x y) 1.0))) (+ x 1.0) (+ x 1.0) (/ (+ (/ x y) 1.0) (cbrt (+ x 1.0))) (/ (+ (/ x y) 1.0) (sqrt (+ x 1.0))) (/ (+ (/ x y) 1.0) (+ x 1.0)) (/ (+ (/ x y) 1.0) (+ x 1.0)) (/ (+ x 1.0) (+ (pow (/ x y) 3) (pow 1.0 3))) (/ (+ x 1.0) (- (* (/ x y) (/ x y)) (* 1.0 1.0))) (* (fma x x (- (* 1.0 1.0) (* x 1.0))) (+ (/ x y) 1.0)) (* (+ (/ x y) 1.0) (- x 1.0)) (* 1.0 (- (+ x (/ (pow x 2) y)) (/ (pow x 3) y))) (- (+ 1.0 (/ x y)) (* 1.0 (/ 1 x))) (- (+ 1.0 (/ x y)) (* 1.0 (/ 1 x))) 0 0 0 0.590 * * * [progress]: adding candidates to table 0.869 * * [progress]: iteration 3 / 4 0.869 * * * [progress]: picking best candidate 0.877 * * * * [pick]: Picked # 0.877 * * * [progress]: localizing error 0.884 * * * [progress]: generating rewritten candidates 0.884 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.899 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.910 * * * [progress]: generating series expansions 0.910 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.910 * [approximate]: Taking taylor expansion of (/ (* x (+ (/ x y) 1.0)) (+ x 1.0)) in (x y) around 0 0.910 * [taylor]: Taking taylor expansion of (/ (* x (+ (/ x y) 1.0)) (+ x 1.0)) in y 0.910 * [taylor]: Taking taylor expansion of (* x (+ (/ x y) 1.0)) in y 0.910 * [taylor]: Taking taylor expansion of x in y 0.910 * [taylor]: Taking taylor expansion of (+ (/ x y) 1.0) in y 0.910 * [taylor]: Taking taylor expansion of (/ x y) in y 0.910 * [taylor]: Taking taylor expansion of x in y 0.910 * [taylor]: Taking taylor expansion of y in y 0.910 * [taylor]: Taking taylor expansion of 1.0 in y 0.910 * [taylor]: Taking taylor expansion of (+ x 1.0) in y 0.910 * [taylor]: Taking taylor expansion of x in y 0.910 * [taylor]: Taking taylor expansion of 1.0 in y 0.910 * [taylor]: Taking taylor expansion of (/ (* x (+ (/ x y) 1.0)) (+ x 1.0)) in x 0.910 * [taylor]: Taking taylor expansion of (* x (+ (/ x y) 1.0)) in x 0.910 * [taylor]: Taking taylor expansion of x in x 0.910 * [taylor]: Taking taylor expansion of (+ (/ x y) 1.0) in x 0.910 * [taylor]: Taking taylor expansion of (/ x y) in x 0.910 * [taylor]: Taking taylor expansion of x in x 0.910 * [taylor]: Taking taylor expansion of y in x 0.910 * [taylor]: Taking taylor expansion of 1.0 in x 0.910 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.910 * [taylor]: Taking taylor expansion of x in x 0.910 * [taylor]: Taking taylor expansion of 1.0 in x 0.912 * [taylor]: Taking taylor expansion of (/ (* x (+ (/ x y) 1.0)) (+ x 1.0)) in x 0.912 * [taylor]: Taking taylor expansion of (* x (+ (/ x y) 1.0)) in x 0.912 * [taylor]: Taking taylor expansion of x in x 0.912 * [taylor]: Taking taylor expansion of (+ (/ x y) 1.0) in x 0.912 * [taylor]: Taking taylor expansion of (/ x y) in x 0.912 * [taylor]: Taking taylor expansion of x in x 0.912 * [taylor]: Taking taylor expansion of y in x 0.912 * [taylor]: Taking taylor expansion of 1.0 in x 0.912 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.912 * [taylor]: Taking taylor expansion of x in x 0.912 * [taylor]: Taking taylor expansion of 1.0 in x 0.914 * [taylor]: Taking taylor expansion of 1.0 in y 0.916 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 y)) 1.0) in y 0.916 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.916 * [taylor]: Taking taylor expansion of 1.0 in y 0.916 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.916 * [taylor]: Taking taylor expansion of y in y 0.916 * [taylor]: Taking taylor expansion of 1.0 in y 0.919 * [taylor]: Taking taylor expansion of (- 1.0 (* 1.0 (/ 1 y))) in y 0.919 * [taylor]: Taking taylor expansion of 1.0 in y 0.919 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.919 * [taylor]: Taking taylor expansion of 1.0 in y 0.919 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.919 * [taylor]: Taking taylor expansion of y in y 0.922 * [approximate]: Taking taylor expansion of (/ (+ (/ y x) 1.0) (* x (+ 1.0 (/ 1 x)))) in (x y) around 0 0.922 * [taylor]: Taking taylor expansion of (/ (+ (/ y x) 1.0) (* x (+ 1.0 (/ 1 x)))) in y 0.922 * [taylor]: Taking taylor expansion of (+ (/ y x) 1.0) in y 0.922 * [taylor]: Taking taylor expansion of (/ y x) in y 0.922 * [taylor]: Taking taylor expansion of y in y 0.922 * [taylor]: Taking taylor expansion of x in y 0.922 * [taylor]: Taking taylor expansion of 1.0 in y 0.922 * [taylor]: Taking taylor expansion of (* x (+ 1.0 (/ 1 x))) in y 0.922 * [taylor]: Taking taylor expansion of x in y 0.922 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in y 0.922 * [taylor]: Taking taylor expansion of 1.0 in y 0.922 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.922 * [taylor]: Taking taylor expansion of x in y 0.923 * [taylor]: Taking taylor expansion of (/ (+ (/ y x) 1.0) (* x (+ 1.0 (/ 1 x)))) in x 0.923 * [taylor]: Taking taylor expansion of (+ (/ y x) 1.0) in x 0.923 * [taylor]: Taking taylor expansion of (/ y x) in x 0.923 * [taylor]: Taking taylor expansion of y in x 0.923 * [taylor]: Taking taylor expansion of x in x 0.923 * [taylor]: Taking taylor expansion of 1.0 in x 0.923 * [taylor]: Taking taylor expansion of (* x (+ 1.0 (/ 1 x))) in x 0.923 * [taylor]: Taking taylor expansion of x in x 0.923 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.923 * [taylor]: Taking taylor expansion of 1.0 in x 0.923 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.923 * [taylor]: Taking taylor expansion of x in x 0.925 * [taylor]: Taking taylor expansion of (/ (+ (/ y x) 1.0) (* x (+ 1.0 (/ 1 x)))) in x 0.925 * [taylor]: Taking taylor expansion of (+ (/ y x) 1.0) in x 0.925 * [taylor]: Taking taylor expansion of (/ y x) in x 0.925 * [taylor]: Taking taylor expansion of y in x 0.925 * [taylor]: Taking taylor expansion of x in x 0.925 * [taylor]: Taking taylor expansion of 1.0 in x 0.925 * [taylor]: Taking taylor expansion of (* x (+ 1.0 (/ 1 x))) in x 0.925 * [taylor]: Taking taylor expansion of x in x 0.925 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.925 * [taylor]: Taking taylor expansion of 1.0 in x 0.925 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.925 * [taylor]: Taking taylor expansion of x in x 0.927 * [taylor]: Taking taylor expansion of y in y 0.931 * [taylor]: Taking taylor expansion of (- 1.0 (* 1.0 y)) in y 0.931 * [taylor]: Taking taylor expansion of 1.0 in y 0.931 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.931 * [taylor]: Taking taylor expansion of 1.0 in y 0.931 * [taylor]: Taking taylor expansion of y in y 0.935 * [taylor]: Taking taylor expansion of (- (* 1.0 y) 1.0) in y 0.935 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.935 * [taylor]: Taking taylor expansion of 1.0 in y 0.935 * [taylor]: Taking taylor expansion of y in y 0.935 * [taylor]: Taking taylor expansion of 1.0 in y 0.937 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ y x) 1.0) (* (- 1.0 (/ 1 x)) x))) in (x y) around 0 0.937 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ y x) 1.0) (* (- 1.0 (/ 1 x)) x))) in y 0.937 * [taylor]: Taking taylor expansion of -1 in y 0.937 * [taylor]: Taking taylor expansion of (/ (+ (/ y x) 1.0) (* (- 1.0 (/ 1 x)) x)) in y 0.937 * [taylor]: Taking taylor expansion of (+ (/ y x) 1.0) in y 0.937 * [taylor]: Taking taylor expansion of (/ y x) in y 0.937 * [taylor]: Taking taylor expansion of y in y 0.937 * [taylor]: Taking taylor expansion of x in y 0.937 * [taylor]: Taking taylor expansion of 1.0 in y 0.938 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) x) in y 0.938 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in y 0.938 * [taylor]: Taking taylor expansion of 1.0 in y 0.938 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.938 * [taylor]: Taking taylor expansion of x in y 0.938 * [taylor]: Taking taylor expansion of x in y 0.938 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ y x) 1.0) (* (- 1.0 (/ 1 x)) x))) in x 0.938 * [taylor]: Taking taylor expansion of -1 in x 0.938 * [taylor]: Taking taylor expansion of (/ (+ (/ y x) 1.0) (* (- 1.0 (/ 1 x)) x)) in x 0.938 * [taylor]: Taking taylor expansion of (+ (/ y x) 1.0) in x 0.938 * [taylor]: Taking taylor expansion of (/ y x) in x 0.938 * [taylor]: Taking taylor expansion of y in x 0.938 * [taylor]: Taking taylor expansion of x in x 0.938 * [taylor]: Taking taylor expansion of 1.0 in x 0.938 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) x) in x 0.938 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.938 * [taylor]: Taking taylor expansion of 1.0 in x 0.938 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.938 * [taylor]: Taking taylor expansion of x in x 0.939 * [taylor]: Taking taylor expansion of x in x 0.941 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ y x) 1.0) (* (- 1.0 (/ 1 x)) x))) in x 0.941 * [taylor]: Taking taylor expansion of -1 in x 0.941 * [taylor]: Taking taylor expansion of (/ (+ (/ y x) 1.0) (* (- 1.0 (/ 1 x)) x)) in x 0.941 * [taylor]: Taking taylor expansion of (+ (/ y x) 1.0) in x 0.941 * [taylor]: Taking taylor expansion of (/ y x) in x 0.941 * [taylor]: Taking taylor expansion of y in x 0.941 * [taylor]: Taking taylor expansion of x in x 0.941 * [taylor]: Taking taylor expansion of 1.0 in x 0.941 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) x) in x 0.941 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.941 * [taylor]: Taking taylor expansion of 1.0 in x 0.941 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.941 * [taylor]: Taking taylor expansion of x in x 0.942 * [taylor]: Taking taylor expansion of x in x 0.944 * [taylor]: Taking taylor expansion of y in y 0.948 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) 1.0) in y 0.948 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.948 * [taylor]: Taking taylor expansion of 1.0 in y 0.948 * [taylor]: Taking taylor expansion of y in y 0.948 * [taylor]: Taking taylor expansion of 1.0 in y 0.952 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) 1.0) in y 0.952 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.952 * [taylor]: Taking taylor expansion of 1.0 in y 0.952 * [taylor]: Taking taylor expansion of y in y 0.952 * [taylor]: Taking taylor expansion of 1.0 in y 0.953 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.953 * [approximate]: Taking taylor expansion of (/ x (+ x 1.0)) in (x) around 0 0.953 * [taylor]: Taking taylor expansion of (/ x (+ x 1.0)) in x 0.953 * [taylor]: Taking taylor expansion of x in x 0.953 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.953 * [taylor]: Taking taylor expansion of x in x 0.953 * [taylor]: Taking taylor expansion of 1.0 in x 0.954 * [taylor]: Taking taylor expansion of (/ x (+ x 1.0)) in x 0.954 * [taylor]: Taking taylor expansion of x in x 0.954 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.954 * [taylor]: Taking taylor expansion of x in x 0.954 * [taylor]: Taking taylor expansion of 1.0 in x 0.960 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ 1.0 (/ 1 x)))) in (x) around 0 0.960 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ 1.0 (/ 1 x)))) in x 0.960 * [taylor]: Taking taylor expansion of (* x (+ 1.0 (/ 1 x))) in x 0.960 * [taylor]: Taking taylor expansion of x in x 0.960 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.960 * [taylor]: Taking taylor expansion of 1.0 in x 0.960 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.960 * [taylor]: Taking taylor expansion of x in x 0.962 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ 1.0 (/ 1 x)))) in x 0.963 * [taylor]: Taking taylor expansion of (* x (+ 1.0 (/ 1 x))) in x 0.963 * [taylor]: Taking taylor expansion of x in x 0.963 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.963 * [taylor]: Taking taylor expansion of 1.0 in x 0.963 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.963 * [taylor]: Taking taylor expansion of x in x 0.973 * [approximate]: Taking taylor expansion of (/ -1 (* (- 1.0 (/ 1 x)) x)) in (x) around 0 0.973 * [taylor]: Taking taylor expansion of (/ -1 (* (- 1.0 (/ 1 x)) x)) in x 0.973 * [taylor]: Taking taylor expansion of -1 in x 0.973 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) x) in x 0.973 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.973 * [taylor]: Taking taylor expansion of 1.0 in x 0.973 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.973 * [taylor]: Taking taylor expansion of x in x 0.974 * [taylor]: Taking taylor expansion of x in x 0.976 * [taylor]: Taking taylor expansion of (/ -1 (* (- 1.0 (/ 1 x)) x)) in x 0.976 * [taylor]: Taking taylor expansion of -1 in x 0.976 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) x) in x 0.976 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.976 * [taylor]: Taking taylor expansion of 1.0 in x 0.976 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.976 * [taylor]: Taking taylor expansion of x in x 0.976 * [taylor]: Taking taylor expansion of x in x 0.994 * * * [progress]: simplifying candidates 0.996 * [simplify]: Simplifying using # : (expm1 (* (/ x (+ x 1.0)) (+ (/ x y) 1.0))) (log1p (* (/ x (+ x 1.0)) (+ (/ x y) 1.0))) (* (/ x (+ x 1.0)) (+ (/ x y) 1.0)) (+ (- (log x) (log (+ x 1.0))) (log (+ (/ x y) 1.0))) (+ (log (/ x (+ x 1.0))) (log (+ (/ x y) 1.0))) (log (* (/ x (+ x 1.0)) (+ (/ x y) 1.0))) (exp (* (/ x (+ x 1.0)) (+ (/ x y) 1.0))) (* (/ (* (* x x) x) (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0))) (* (* (+ (/ x y) 1.0) (+ (/ x y) 1.0)) (+ (/ x y) 1.0))) (* (* (* (/ x (+ x 1.0)) (/ x (+ x 1.0))) (/ x (+ x 1.0))) (* (* (+ (/ x y) 1.0) (+ (/ x y) 1.0)) (+ (/ x y) 1.0))) (* (cbrt (* (/ x (+ x 1.0)) (+ (/ x y) 1.0))) (cbrt (* (/ x (+ x 1.0)) (+ (/ x y) 1.0)))) (cbrt (* (/ x (+ x 1.0)) (+ (/ x y) 1.0))) (* (* (* (/ x (+ x 1.0)) (+ (/ x y) 1.0)) (* (/ x (+ x 1.0)) (+ (/ x y) 1.0))) (* (/ x (+ x 1.0)) (+ (/ x y) 1.0))) (sqrt (* (/ x (+ x 1.0)) (+ (/ x y) 1.0))) (sqrt (* (/ x (+ x 1.0)) (+ (/ x y) 1.0))) (* x (+ (pow (/ x y) 3) (pow 1.0 3))) (* (+ x 1.0) (+ (* (/ x y) (/ x y)) (- (* 1.0 1.0) (* (/ x y) 1.0)))) (* x (- (* (/ x y) (/ x y)) (* 1.0 1.0))) (* (+ x 1.0) (- (/ x y) 1.0)) (* (sqrt (/ x (+ x 1.0))) (sqrt (+ (/ x y) 1.0))) (* (sqrt (/ x (+ x 1.0))) (sqrt (+ (/ x y) 1.0))) (* (/ (sqrt x) (sqrt (+ x 1.0))) (sqrt (+ (/ x y) 1.0))) (* (/ (sqrt x) (sqrt (+ x 1.0))) (sqrt (+ (/ x y) 1.0))) (* (/ x (+ x 1.0)) (/ x y)) (* (/ x (+ x 1.0)) 1.0) (* (/ x y) (/ x (+ x 1.0))) (* 1.0 (/ x (+ x 1.0))) (* (/ x (+ x 1.0)) (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))) (* (/ x (+ x 1.0)) (sqrt (+ (/ x y) 1.0))) (* (/ x (+ x 1.0)) 1) (* (/ x (+ x 1.0)) 1) (* (cbrt (/ x (+ x 1.0))) (+ (/ x y) 1.0)) (* (sqrt (/ x (+ x 1.0))) (+ (/ x y) 1.0)) (* (/ (cbrt x) (cbrt (+ x 1.0))) (+ (/ x y) 1.0)) (* (/ (cbrt x) (sqrt (+ x 1.0))) (+ (/ x y) 1.0)) (* (/ (cbrt x) (+ x 1.0)) (+ (/ x y) 1.0)) (* (/ (cbrt x) (+ x 1.0)) (+ (/ x y) 1.0)) (* (/ (sqrt x) (cbrt (+ x 1.0))) (+ (/ x y) 1.0)) (* (/ (sqrt x) (sqrt (+ x 1.0))) (+ (/ x y) 1.0)) (* (/ (sqrt x) (+ x 1.0)) (+ (/ x y) 1.0)) (* (/ (sqrt x) (+ x 1.0)) (+ (/ x y) 1.0)) (* (/ x (cbrt (+ x 1.0))) (+ (/ x y) 1.0)) (* (/ x (sqrt (+ x 1.0))) (+ (/ x y) 1.0)) (* (/ x (+ x 1.0)) (+ (/ x y) 1.0)) (* (/ x (+ x 1.0)) (+ (/ x y) 1.0)) (* (/ x (+ x 1.0)) (+ (/ x y) 1.0)) (* (/ 1 (+ x 1.0)) (+ (/ x y) 1.0)) (* (+ (* x x) (- (* 1.0 1.0) (* x 1.0))) (+ (/ x y) 1.0)) (* (- x 1.0) (+ (/ x y) 1.0)) (* (/ x (+ x 1.0)) (+ (pow (/ x y) 3) (pow 1.0 3))) (* (/ x (+ x 1.0)) (- (* (/ x y) (/ x y)) (* 1.0 1.0))) (* x (+ (/ x y) 1.0)) (expm1 (/ x (+ x 1.0))) (log1p (/ x (+ x 1.0))) (- (log x) (log (+ x 1.0))) (log (/ x (+ x 1.0))) (exp (/ x (+ x 1.0))) (/ (* (* x x) x) (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0))) (* (cbrt (/ x (+ x 1.0))) (cbrt (/ x (+ x 1.0)))) (cbrt (/ x (+ x 1.0))) (* (* (/ x (+ x 1.0)) (/ x (+ x 1.0))) (/ x (+ x 1.0))) (sqrt (/ x (+ x 1.0))) (sqrt (/ x (+ x 1.0))) (- x) (- (+ x 1.0)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (cbrt x) (cbrt (+ x 1.0))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x 1.0))) (/ (cbrt x) (sqrt (+ x 1.0))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ x 1.0)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ x 1.0)) (/ (sqrt x) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (sqrt x) (cbrt (+ x 1.0))) (/ (sqrt x) (sqrt (+ x 1.0))) (/ (sqrt x) (sqrt (+ x 1.0))) (/ (sqrt x) 1) (/ (sqrt x) (+ x 1.0)) (/ (sqrt x) 1) (/ (sqrt x) (+ x 1.0)) (/ 1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ x (cbrt (+ x 1.0))) (/ 1 (sqrt (+ x 1.0))) (/ x (sqrt (+ x 1.0))) (/ 1 1) (/ x (+ x 1.0)) (/ 1 1) (/ x (+ x 1.0)) (/ 1 (+ x 1.0)) (/ (+ x 1.0) x) (/ x (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ x (sqrt (+ x 1.0))) (/ x 1) (/ x 1) (/ (+ x 1.0) (cbrt x)) (/ (+ x 1.0) (sqrt x)) (/ (+ x 1.0) x) (/ x (+ (pow x 3) (pow 1.0 3))) (/ x (- (* x x) (* 1.0 1.0))) (- (+ (* 1.0 x) (* 1.0 (/ (pow x 2) y))) (* 1.0 (/ (pow x 3) y))) (- (+ 1.0 (/ x y)) (* 1.0 (/ 1 x))) (- (+ 1.0 (/ x y)) (* 1.0 (/ 1 x))) (- (+ (* 1.0 (pow x 3)) (* 1.0 x)) (* 1.0 (pow x 2))) (- (+ (* 1.0 (/ 1 (pow x 2))) 1) (* 1.0 (/ 1 x))) (- (+ (* 1.0 (/ 1 (pow x 2))) 1) (* 1.0 (/ 1 x))) 1.002 * * [simplify]: iteration 0 : 474 enodes (cost 534 ) 1.013 * * [simplify]: iteration 1 : 2069 enodes (cost 486 ) 1.050 * * [simplify]: iteration 2 : 5001 enodes (cost 486 ) 1.053 * [simplify]: Simplified to: (expm1 (* (/ x (+ x 1.0)) (+ (/ x y) 1.0))) (log1p (* (/ x (+ x 1.0)) (+ (/ x y) 1.0))) (* (/ x (+ x 1.0)) (+ (/ x y) 1.0)) (log (* (/ x (+ x 1.0)) (+ (/ x y) 1.0))) (log (* (/ x (+ x 1.0)) (+ (/ x y) 1.0))) (log (* (/ x (+ x 1.0)) (+ (/ x y) 1.0))) (exp (* (/ x (+ x 1.0)) (+ (/ x y) 1.0))) (pow (* (/ x (+ x 1.0)) (+ (/ x y) 1.0)) 3) (pow (* (/ x (+ x 1.0)) (+ (/ x y) 1.0)) 3) (* (cbrt (* (/ x (+ x 1.0)) (+ (/ x y) 1.0))) (cbrt (* (/ x (+ x 1.0)) (+ (/ x y) 1.0)))) (cbrt (* (/ x (+ x 1.0)) (+ (/ x y) 1.0))) (pow (* (/ x (+ x 1.0)) (+ (/ x y) 1.0)) 3) (sqrt (* (/ x (+ x 1.0)) (+ (/ x y) 1.0))) (sqrt (* (/ x (+ x 1.0)) (+ (/ x y) 1.0))) (* x (+ (pow (/ x y) 3) (pow 1.0 3))) (* (fma (/ x y) (/ x y) (- (* 1.0 1.0) (* (/ x y) 1.0))) (+ x 1.0)) (* x (- (* (/ x y) (/ x y)) (* 1.0 1.0))) (* (+ x 1.0) (- (/ x y) 1.0)) (* (sqrt (/ x (+ x 1.0))) (sqrt (+ (/ x y) 1.0))) (* (sqrt (/ x (+ x 1.0))) (sqrt (+ (/ x y) 1.0))) (* (/ (sqrt x) (sqrt (+ x 1.0))) (sqrt (+ (/ x y) 1.0))) (* (/ (sqrt x) (sqrt (+ x 1.0))) (sqrt (+ (/ x y) 1.0))) (* (/ x (+ x 1.0)) (/ x y)) (* (/ x (+ x 1.0)) 1.0) (* (/ x (+ x 1.0)) (/ x y)) (* (/ x (+ x 1.0)) 1.0) (* (/ x (+ x 1.0)) (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))) (* (/ x (+ x 1.0)) (sqrt (+ (/ x y) 1.0))) (/ x (+ x 1.0)) (/ x (+ x 1.0)) (* (cbrt (/ x (+ x 1.0))) (+ (/ x y) 1.0)) (* (sqrt (/ x (+ x 1.0))) (+ (/ x y) 1.0)) (* (/ (cbrt x) (cbrt (+ x 1.0))) (+ (/ x y) 1.0)) (* (/ (cbrt x) (sqrt (+ x 1.0))) (+ (/ x y) 1.0)) (* (/ (cbrt x) (+ x 1.0)) (+ (/ x y) 1.0)) (* (/ (cbrt x) (+ x 1.0)) (+ (/ x y) 1.0)) (* (/ (sqrt x) (cbrt (+ x 1.0))) (+ (/ x y) 1.0)) (* (/ (sqrt x) (sqrt (+ x 1.0))) (+ (/ x y) 1.0)) (* (/ (sqrt x) (+ x 1.0)) (+ (/ x y) 1.0)) (* (/ (sqrt x) (+ x 1.0)) (+ (/ x y) 1.0)) (* (/ x (cbrt (+ x 1.0))) (+ (/ x y) 1.0)) (* (/ x (sqrt (+ x 1.0))) (+ (/ x y) 1.0)) (* (/ x (+ x 1.0)) (+ (/ x y) 1.0)) (* (/ x (+ x 1.0)) (+ (/ x y) 1.0)) (* (/ x (+ x 1.0)) (+ (/ x y) 1.0)) (/ (+ (/ x y) 1.0) (+ x 1.0)) (* (+ (/ x y) 1.0) (fma x x (- (* 1.0 1.0) (* x 1.0)))) (* (- x 1.0) (+ (/ x y) 1.0)) (* (/ x (+ x 1.0)) (+ (pow (/ x y) 3) (pow 1.0 3))) (* (/ x (+ x 1.0)) (- (* (/ x y) (/ x y)) (* 1.0 1.0))) (* x (+ (/ x y) 1.0)) (expm1 (/ x (+ x 1.0))) (log1p (/ x (+ x 1.0))) (log (/ x (+ x 1.0))) (log (/ x (+ x 1.0))) (exp (/ x (+ x 1.0))) (pow (/ x (+ x 1.0)) 3) (* (cbrt (/ x (+ x 1.0))) (cbrt (/ x (+ x 1.0)))) (cbrt (/ x (+ x 1.0))) (pow (/ x (+ x 1.0)) 3) (sqrt (/ x (+ x 1.0))) (sqrt (/ x (+ x 1.0))) (- x) (- (+ x 1.0)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (cbrt x) (cbrt (+ x 1.0))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x 1.0))) (/ (cbrt x) (sqrt (+ x 1.0))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x 1.0)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x 1.0)) (/ (sqrt x) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (sqrt x) (cbrt (+ x 1.0))) (/ (sqrt x) (sqrt (+ x 1.0))) (/ (sqrt x) (sqrt (+ x 1.0))) (sqrt x) (/ (sqrt x) (+ x 1.0)) (sqrt x) (/ (sqrt x) (+ x 1.0)) (/ 1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ x (cbrt (+ x 1.0))) (/ 1 (sqrt (+ x 1.0))) (/ x (sqrt (+ x 1.0))) 1 (/ x (+ x 1.0)) 1 (/ x (+ x 1.0)) (/ 1 (+ x 1.0)) (/ (+ x 1.0) x) (/ x (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ x (sqrt (+ x 1.0))) x x (/ (+ x 1.0) (cbrt x)) (/ (+ x 1.0) (sqrt x)) (/ (+ x 1.0) x) (/ x (+ (pow x 3) (pow 1.0 3))) (/ x (- (* x x) (* 1.0 1.0))) (* 1.0 (- (+ x (/ (pow x 2) y)) (/ (pow x 3) y))) (- (+ 1.0 (/ x y)) (* 1.0 (/ 1 x))) (- (+ 1.0 (/ x y)) (* 1.0 (/ 1 x))) (* 1.0 (- (+ (pow x 3) x) (pow x 2))) (fma 1.0 (/ 1 (pow x 2)) (- 1 (* 1.0 (/ 1 x)))) (fma 1.0 (/ 1 (pow x 2)) (- 1 (* 1.0 (/ 1 x)))) 1.053 * * * [progress]: adding candidates to table 1.233 * * [progress]: iteration 4 / 4 1.233 * * * [progress]: picking best candidate 1.241 * * * * [pick]: Picked # 1.241 * * * [progress]: localizing error 1.249 * * * [progress]: generating rewritten candidates 1.249 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.263 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.273 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.278 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.292 * * * [progress]: generating series expansions 1.292 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.292 * [approximate]: Taking taylor expansion of (/ (pow x 2) (* y (+ x 1.0))) in (x y) around 0 1.292 * [taylor]: Taking taylor expansion of (/ (pow x 2) (* y (+ x 1.0))) in y 1.292 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.292 * [taylor]: Taking taylor expansion of x in y 1.292 * [taylor]: Taking taylor expansion of (* y (+ x 1.0)) in y 1.292 * [taylor]: Taking taylor expansion of y in y 1.292 * [taylor]: Taking taylor expansion of (+ x 1.0) in y 1.292 * [taylor]: Taking taylor expansion of x in y 1.292 * [taylor]: Taking taylor expansion of 1.0 in y 1.293 * [taylor]: Taking taylor expansion of (/ (pow x 2) (* y (+ x 1.0))) in x 1.293 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.293 * [taylor]: Taking taylor expansion of x in x 1.294 * [taylor]: Taking taylor expansion of (* y (+ x 1.0)) in x 1.294 * [taylor]: Taking taylor expansion of y in x 1.294 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.294 * [taylor]: Taking taylor expansion of x in x 1.294 * [taylor]: Taking taylor expansion of 1.0 in x 1.294 * [taylor]: Taking taylor expansion of (/ (pow x 2) (* y (+ x 1.0))) in x 1.294 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.294 * [taylor]: Taking taylor expansion of x in x 1.294 * [taylor]: Taking taylor expansion of (* y (+ x 1.0)) in x 1.294 * [taylor]: Taking taylor expansion of y in x 1.294 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.294 * [taylor]: Taking taylor expansion of x in x 1.294 * [taylor]: Taking taylor expansion of 1.0 in x 1.295 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y 1.295 * [taylor]: Taking taylor expansion of 1.0 in y 1.295 * [taylor]: Taking taylor expansion of y in y 1.297 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 y))) in y 1.297 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 1.297 * [taylor]: Taking taylor expansion of 1.0 in y 1.297 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.297 * [taylor]: Taking taylor expansion of y in y 1.300 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 1.300 * [taylor]: Taking taylor expansion of 1.0 in y 1.300 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.300 * [taylor]: Taking taylor expansion of y in y 1.301 * [approximate]: Taking taylor expansion of (/ y (* (pow x 2) (+ 1.0 (/ 1 x)))) in (x y) around 0 1.301 * [taylor]: Taking taylor expansion of (/ y (* (pow x 2) (+ 1.0 (/ 1 x)))) in y 1.301 * [taylor]: Taking taylor expansion of y in y 1.301 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ 1.0 (/ 1 x))) in y 1.301 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.301 * [taylor]: Taking taylor expansion of x in y 1.301 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in y 1.301 * [taylor]: Taking taylor expansion of 1.0 in y 1.301 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.301 * [taylor]: Taking taylor expansion of x in y 1.302 * [taylor]: Taking taylor expansion of (/ y (* (pow x 2) (+ 1.0 (/ 1 x)))) in x 1.302 * [taylor]: Taking taylor expansion of y in x 1.302 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ 1.0 (/ 1 x))) in x 1.302 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.302 * [taylor]: Taking taylor expansion of x in x 1.302 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.302 * [taylor]: Taking taylor expansion of 1.0 in x 1.302 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.302 * [taylor]: Taking taylor expansion of x in x 1.303 * [taylor]: Taking taylor expansion of (/ y (* (pow x 2) (+ 1.0 (/ 1 x)))) in x 1.303 * [taylor]: Taking taylor expansion of y in x 1.303 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ 1.0 (/ 1 x))) in x 1.303 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.303 * [taylor]: Taking taylor expansion of x in x 1.303 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.303 * [taylor]: Taking taylor expansion of 1.0 in x 1.303 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.303 * [taylor]: Taking taylor expansion of x in x 1.304 * [taylor]: Taking taylor expansion of y in y 1.307 * [taylor]: Taking taylor expansion of (- (* 1.0 y)) in y 1.307 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 1.307 * [taylor]: Taking taylor expansion of 1.0 in y 1.307 * [taylor]: Taking taylor expansion of y in y 1.311 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 1.311 * [taylor]: Taking taylor expansion of 1.0 in y 1.311 * [taylor]: Taking taylor expansion of y in y 1.313 * [approximate]: Taking taylor expansion of (* -1 (/ y (* (- 1.0 (/ 1 x)) (pow x 2)))) in (x y) around 0 1.313 * [taylor]: Taking taylor expansion of (* -1 (/ y (* (- 1.0 (/ 1 x)) (pow x 2)))) in y 1.313 * [taylor]: Taking taylor expansion of -1 in y 1.313 * [taylor]: Taking taylor expansion of (/ y (* (- 1.0 (/ 1 x)) (pow x 2))) in y 1.313 * [taylor]: Taking taylor expansion of y in y 1.313 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) (pow x 2)) in y 1.313 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in y 1.313 * [taylor]: Taking taylor expansion of 1.0 in y 1.313 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.313 * [taylor]: Taking taylor expansion of x in y 1.313 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.313 * [taylor]: Taking taylor expansion of x in y 1.314 * [taylor]: Taking taylor expansion of (* -1 (/ y (* (- 1.0 (/ 1 x)) (pow x 2)))) in x 1.314 * [taylor]: Taking taylor expansion of -1 in x 1.314 * [taylor]: Taking taylor expansion of (/ y (* (- 1.0 (/ 1 x)) (pow x 2))) in x 1.314 * [taylor]: Taking taylor expansion of y in x 1.314 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) (pow x 2)) in x 1.314 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.314 * [taylor]: Taking taylor expansion of 1.0 in x 1.314 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.314 * [taylor]: Taking taylor expansion of x in x 1.314 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.314 * [taylor]: Taking taylor expansion of x in x 1.315 * [taylor]: Taking taylor expansion of (* -1 (/ y (* (- 1.0 (/ 1 x)) (pow x 2)))) in x 1.315 * [taylor]: Taking taylor expansion of -1 in x 1.315 * [taylor]: Taking taylor expansion of (/ y (* (- 1.0 (/ 1 x)) (pow x 2))) in x 1.315 * [taylor]: Taking taylor expansion of y in x 1.315 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) (pow x 2)) in x 1.315 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.315 * [taylor]: Taking taylor expansion of 1.0 in x 1.315 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.315 * [taylor]: Taking taylor expansion of x in x 1.316 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.316 * [taylor]: Taking taylor expansion of x in x 1.317 * [taylor]: Taking taylor expansion of y in y 1.320 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 1.320 * [taylor]: Taking taylor expansion of 1.0 in y 1.320 * [taylor]: Taking taylor expansion of y in y 1.324 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 1.325 * [taylor]: Taking taylor expansion of 1.0 in y 1.325 * [taylor]: Taking taylor expansion of y in y 1.326 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.326 * [approximate]: Taking taylor expansion of (+ (/ (pow x 2) (* y (+ x 1.0))) (* 1.0 (/ x (+ x 1.0)))) in (x y) around 0 1.326 * [taylor]: Taking taylor expansion of (+ (/ (pow x 2) (* y (+ x 1.0))) (* 1.0 (/ x (+ x 1.0)))) in y 1.326 * [taylor]: Taking taylor expansion of (/ (pow x 2) (* y (+ x 1.0))) in y 1.326 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.326 * [taylor]: Taking taylor expansion of x in y 1.326 * [taylor]: Taking taylor expansion of (* y (+ x 1.0)) in y 1.326 * [taylor]: Taking taylor expansion of y in y 1.326 * [taylor]: Taking taylor expansion of (+ x 1.0) in y 1.326 * [taylor]: Taking taylor expansion of x in y 1.326 * [taylor]: Taking taylor expansion of 1.0 in y 1.327 * [taylor]: Taking taylor expansion of (* 1.0 (/ x (+ x 1.0))) in y 1.327 * [taylor]: Taking taylor expansion of 1.0 in y 1.327 * [taylor]: Taking taylor expansion of (/ x (+ x 1.0)) in y 1.327 * [taylor]: Taking taylor expansion of x in y 1.327 * [taylor]: Taking taylor expansion of (+ x 1.0) in y 1.327 * [taylor]: Taking taylor expansion of x in y 1.327 * [taylor]: Taking taylor expansion of 1.0 in y 1.327 * [taylor]: Taking taylor expansion of (+ (/ (pow x 2) (* y (+ x 1.0))) (* 1.0 (/ x (+ x 1.0)))) in x 1.327 * [taylor]: Taking taylor expansion of (/ (pow x 2) (* y (+ x 1.0))) in x 1.327 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.327 * [taylor]: Taking taylor expansion of x in x 1.328 * [taylor]: Taking taylor expansion of (* y (+ x 1.0)) in x 1.328 * [taylor]: Taking taylor expansion of y in x 1.328 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.328 * [taylor]: Taking taylor expansion of x in x 1.328 * [taylor]: Taking taylor expansion of 1.0 in x 1.328 * [taylor]: Taking taylor expansion of (* 1.0 (/ x (+ x 1.0))) in x 1.328 * [taylor]: Taking taylor expansion of 1.0 in x 1.328 * [taylor]: Taking taylor expansion of (/ x (+ x 1.0)) in x 1.328 * [taylor]: Taking taylor expansion of x in x 1.328 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.328 * [taylor]: Taking taylor expansion of x in x 1.328 * [taylor]: Taking taylor expansion of 1.0 in x 1.329 * [taylor]: Taking taylor expansion of (+ (/ (pow x 2) (* y (+ x 1.0))) (* 1.0 (/ x (+ x 1.0)))) in x 1.329 * [taylor]: Taking taylor expansion of (/ (pow x 2) (* y (+ x 1.0))) in x 1.329 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.329 * [taylor]: Taking taylor expansion of x in x 1.329 * [taylor]: Taking taylor expansion of (* y (+ x 1.0)) in x 1.329 * [taylor]: Taking taylor expansion of y in x 1.329 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.329 * [taylor]: Taking taylor expansion of x in x 1.329 * [taylor]: Taking taylor expansion of 1.0 in x 1.330 * [taylor]: Taking taylor expansion of (* 1.0 (/ x (+ x 1.0))) in x 1.330 * [taylor]: Taking taylor expansion of 1.0 in x 1.330 * [taylor]: Taking taylor expansion of (/ x (+ x 1.0)) in x 1.330 * [taylor]: Taking taylor expansion of x in x 1.330 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.330 * [taylor]: Taking taylor expansion of x in x 1.330 * [taylor]: Taking taylor expansion of 1.0 in x 1.331 * [taylor]: Taking taylor expansion of 1.0 in y 1.335 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 y)) 1.0) in y 1.335 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 1.335 * [taylor]: Taking taylor expansion of 1.0 in y 1.335 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.335 * [taylor]: Taking taylor expansion of y in y 1.335 * [taylor]: Taking taylor expansion of 1.0 in y 1.341 * [taylor]: Taking taylor expansion of (- 1.0 (* 1.0 (/ 1 y))) in y 1.341 * [taylor]: Taking taylor expansion of 1.0 in y 1.341 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 1.341 * [taylor]: Taking taylor expansion of 1.0 in y 1.341 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.341 * [taylor]: Taking taylor expansion of y in y 1.343 * [approximate]: Taking taylor expansion of (+ (/ y (* (pow x 2) (+ 1.0 (/ 1 x)))) (* 1.0 (/ 1 (* x (+ 1.0 (/ 1 x)))))) in (x y) around 0 1.344 * [taylor]: Taking taylor expansion of (+ (/ y (* (pow x 2) (+ 1.0 (/ 1 x)))) (* 1.0 (/ 1 (* x (+ 1.0 (/ 1 x)))))) in y 1.344 * [taylor]: Taking taylor expansion of (/ y (* (pow x 2) (+ 1.0 (/ 1 x)))) in y 1.344 * [taylor]: Taking taylor expansion of y in y 1.344 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ 1.0 (/ 1 x))) in y 1.344 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.344 * [taylor]: Taking taylor expansion of x in y 1.344 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in y 1.344 * [taylor]: Taking taylor expansion of 1.0 in y 1.344 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.344 * [taylor]: Taking taylor expansion of x in y 1.344 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* x (+ 1.0 (/ 1 x))))) in y 1.344 * [taylor]: Taking taylor expansion of 1.0 in y 1.344 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ 1.0 (/ 1 x)))) in y 1.344 * [taylor]: Taking taylor expansion of (* x (+ 1.0 (/ 1 x))) in y 1.344 * [taylor]: Taking taylor expansion of x in y 1.344 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in y 1.344 * [taylor]: Taking taylor expansion of 1.0 in y 1.344 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.344 * [taylor]: Taking taylor expansion of x in y 1.344 * [taylor]: Taking taylor expansion of (+ (/ y (* (pow x 2) (+ 1.0 (/ 1 x)))) (* 1.0 (/ 1 (* x (+ 1.0 (/ 1 x)))))) in x 1.344 * [taylor]: Taking taylor expansion of (/ y (* (pow x 2) (+ 1.0 (/ 1 x)))) in x 1.344 * [taylor]: Taking taylor expansion of y in x 1.344 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ 1.0 (/ 1 x))) in x 1.344 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.344 * [taylor]: Taking taylor expansion of x in x 1.344 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.345 * [taylor]: Taking taylor expansion of 1.0 in x 1.345 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.345 * [taylor]: Taking taylor expansion of x in x 1.346 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* x (+ 1.0 (/ 1 x))))) in x 1.346 * [taylor]: Taking taylor expansion of 1.0 in x 1.346 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ 1.0 (/ 1 x)))) in x 1.346 * [taylor]: Taking taylor expansion of (* x (+ 1.0 (/ 1 x))) in x 1.346 * [taylor]: Taking taylor expansion of x in x 1.346 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.346 * [taylor]: Taking taylor expansion of 1.0 in x 1.346 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.346 * [taylor]: Taking taylor expansion of x in x 1.348 * [taylor]: Taking taylor expansion of (+ (/ y (* (pow x 2) (+ 1.0 (/ 1 x)))) (* 1.0 (/ 1 (* x (+ 1.0 (/ 1 x)))))) in x 1.348 * [taylor]: Taking taylor expansion of (/ y (* (pow x 2) (+ 1.0 (/ 1 x)))) in x 1.348 * [taylor]: Taking taylor expansion of y in x 1.348 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ 1.0 (/ 1 x))) in x 1.348 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.348 * [taylor]: Taking taylor expansion of x in x 1.348 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.348 * [taylor]: Taking taylor expansion of 1.0 in x 1.348 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.348 * [taylor]: Taking taylor expansion of x in x 1.349 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* x (+ 1.0 (/ 1 x))))) in x 1.349 * [taylor]: Taking taylor expansion of 1.0 in x 1.349 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ 1.0 (/ 1 x)))) in x 1.349 * [taylor]: Taking taylor expansion of (* x (+ 1.0 (/ 1 x))) in x 1.349 * [taylor]: Taking taylor expansion of x in x 1.349 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.349 * [taylor]: Taking taylor expansion of 1.0 in x 1.349 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.349 * [taylor]: Taking taylor expansion of x in x 1.352 * [taylor]: Taking taylor expansion of y in y 1.355 * [taylor]: Taking taylor expansion of (- 1.0 (* 1.0 y)) in y 1.355 * [taylor]: Taking taylor expansion of 1.0 in y 1.355 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 1.355 * [taylor]: Taking taylor expansion of 1.0 in y 1.355 * [taylor]: Taking taylor expansion of y in y 1.363 * [taylor]: Taking taylor expansion of (- (* 1.0 y) 1.0) in y 1.364 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 1.364 * [taylor]: Taking taylor expansion of 1.0 in y 1.364 * [taylor]: Taking taylor expansion of y in y 1.364 * [taylor]: Taking taylor expansion of 1.0 in y 1.366 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 (* (- 1.0 (/ 1 x)) x))) (/ y (* (- 1.0 (/ 1 x)) (pow x 2))))) in (x y) around 0 1.366 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 (* (- 1.0 (/ 1 x)) x))) (/ y (* (- 1.0 (/ 1 x)) (pow x 2))))) in y 1.366 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (* (- 1.0 (/ 1 x)) x))) (/ y (* (- 1.0 (/ 1 x)) (pow x 2)))) in y 1.366 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* (- 1.0 (/ 1 x)) x))) in y 1.366 * [taylor]: Taking taylor expansion of 1.0 in y 1.366 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (/ 1 x)) x)) in y 1.366 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) x) in y 1.366 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in y 1.366 * [taylor]: Taking taylor expansion of 1.0 in y 1.366 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.366 * [taylor]: Taking taylor expansion of x in y 1.366 * [taylor]: Taking taylor expansion of x in y 1.366 * [taylor]: Taking taylor expansion of (/ y (* (- 1.0 (/ 1 x)) (pow x 2))) in y 1.366 * [taylor]: Taking taylor expansion of y in y 1.366 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) (pow x 2)) in y 1.366 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in y 1.366 * [taylor]: Taking taylor expansion of 1.0 in y 1.366 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.366 * [taylor]: Taking taylor expansion of x in y 1.366 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.366 * [taylor]: Taking taylor expansion of x in y 1.367 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 (* (- 1.0 (/ 1 x)) x))) (/ y (* (- 1.0 (/ 1 x)) (pow x 2))))) in x 1.367 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (* (- 1.0 (/ 1 x)) x))) (/ y (* (- 1.0 (/ 1 x)) (pow x 2)))) in x 1.367 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* (- 1.0 (/ 1 x)) x))) in x 1.367 * [taylor]: Taking taylor expansion of 1.0 in x 1.367 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (/ 1 x)) x)) in x 1.367 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) x) in x 1.367 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.367 * [taylor]: Taking taylor expansion of 1.0 in x 1.367 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.367 * [taylor]: Taking taylor expansion of x in x 1.367 * [taylor]: Taking taylor expansion of x in x 1.370 * [taylor]: Taking taylor expansion of (/ y (* (- 1.0 (/ 1 x)) (pow x 2))) in x 1.370 * [taylor]: Taking taylor expansion of y in x 1.370 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) (pow x 2)) in x 1.370 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.370 * [taylor]: Taking taylor expansion of 1.0 in x 1.370 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.370 * [taylor]: Taking taylor expansion of x in x 1.370 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.370 * [taylor]: Taking taylor expansion of x in x 1.371 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 (* (- 1.0 (/ 1 x)) x))) (/ y (* (- 1.0 (/ 1 x)) (pow x 2))))) in x 1.371 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (* (- 1.0 (/ 1 x)) x))) (/ y (* (- 1.0 (/ 1 x)) (pow x 2)))) in x 1.371 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* (- 1.0 (/ 1 x)) x))) in x 1.371 * [taylor]: Taking taylor expansion of 1.0 in x 1.371 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (/ 1 x)) x)) in x 1.371 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) x) in x 1.371 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.371 * [taylor]: Taking taylor expansion of 1.0 in x 1.371 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.371 * [taylor]: Taking taylor expansion of x in x 1.372 * [taylor]: Taking taylor expansion of x in x 1.380 * [taylor]: Taking taylor expansion of (/ y (* (- 1.0 (/ 1 x)) (pow x 2))) in x 1.380 * [taylor]: Taking taylor expansion of y in x 1.380 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) (pow x 2)) in x 1.380 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.380 * [taylor]: Taking taylor expansion of 1.0 in x 1.380 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.380 * [taylor]: Taking taylor expansion of x in x 1.381 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.381 * [taylor]: Taking taylor expansion of x in x 1.382 * [taylor]: Taking taylor expansion of y in y 1.385 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) 1.0) in y 1.385 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 1.385 * [taylor]: Taking taylor expansion of 1.0 in y 1.385 * [taylor]: Taking taylor expansion of y in y 1.385 * [taylor]: Taking taylor expansion of 1.0 in y 1.394 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) 1.0) in y 1.394 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 1.394 * [taylor]: Taking taylor expansion of 1.0 in y 1.394 * [taylor]: Taking taylor expansion of y in y 1.394 * [taylor]: Taking taylor expansion of 1.0 in y 1.395 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.395 * [approximate]: Taking taylor expansion of (/ x (+ x 1.0)) in (x) around 0 1.395 * [taylor]: Taking taylor expansion of (/ x (+ x 1.0)) in x 1.395 * [taylor]: Taking taylor expansion of x in x 1.395 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.395 * [taylor]: Taking taylor expansion of x in x 1.395 * [taylor]: Taking taylor expansion of 1.0 in x 1.396 * [taylor]: Taking taylor expansion of (/ x (+ x 1.0)) in x 1.396 * [taylor]: Taking taylor expansion of x in x 1.396 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.396 * [taylor]: Taking taylor expansion of x in x 1.396 * [taylor]: Taking taylor expansion of 1.0 in x 1.402 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ 1.0 (/ 1 x)))) in (x) around 0 1.403 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ 1.0 (/ 1 x)))) in x 1.403 * [taylor]: Taking taylor expansion of (* x (+ 1.0 (/ 1 x))) in x 1.403 * [taylor]: Taking taylor expansion of x in x 1.403 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.403 * [taylor]: Taking taylor expansion of 1.0 in x 1.403 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.403 * [taylor]: Taking taylor expansion of x in x 1.405 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ 1.0 (/ 1 x)))) in x 1.405 * [taylor]: Taking taylor expansion of (* x (+ 1.0 (/ 1 x))) in x 1.405 * [taylor]: Taking taylor expansion of x in x 1.405 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.405 * [taylor]: Taking taylor expansion of 1.0 in x 1.405 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.405 * [taylor]: Taking taylor expansion of x in x 1.416 * [approximate]: Taking taylor expansion of (/ -1 (* (- 1.0 (/ 1 x)) x)) in (x) around 0 1.416 * [taylor]: Taking taylor expansion of (/ -1 (* (- 1.0 (/ 1 x)) x)) in x 1.416 * [taylor]: Taking taylor expansion of -1 in x 1.416 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) x) in x 1.416 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.416 * [taylor]: Taking taylor expansion of 1.0 in x 1.417 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.417 * [taylor]: Taking taylor expansion of x in x 1.417 * [taylor]: Taking taylor expansion of x in x 1.419 * [taylor]: Taking taylor expansion of (/ -1 (* (- 1.0 (/ 1 x)) x)) in x 1.419 * [taylor]: Taking taylor expansion of -1 in x 1.419 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) x) in x 1.419 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.419 * [taylor]: Taking taylor expansion of 1.0 in x 1.419 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.419 * [taylor]: Taking taylor expansion of x in x 1.420 * [taylor]: Taking taylor expansion of x in x 1.431 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.431 * [approximate]: Taking taylor expansion of (/ x (+ x 1.0)) in (x) around 0 1.431 * [taylor]: Taking taylor expansion of (/ x (+ x 1.0)) in x 1.431 * [taylor]: Taking taylor expansion of x in x 1.431 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.431 * [taylor]: Taking taylor expansion of x in x 1.431 * [taylor]: Taking taylor expansion of 1.0 in x 1.432 * [taylor]: Taking taylor expansion of (/ x (+ x 1.0)) in x 1.432 * [taylor]: Taking taylor expansion of x in x 1.432 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.432 * [taylor]: Taking taylor expansion of x in x 1.432 * [taylor]: Taking taylor expansion of 1.0 in x 1.439 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ 1.0 (/ 1 x)))) in (x) around 0 1.439 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ 1.0 (/ 1 x)))) in x 1.439 * [taylor]: Taking taylor expansion of (* x (+ 1.0 (/ 1 x))) in x 1.439 * [taylor]: Taking taylor expansion of x in x 1.439 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.439 * [taylor]: Taking taylor expansion of 1.0 in x 1.439 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.439 * [taylor]: Taking taylor expansion of x in x 1.441 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ 1.0 (/ 1 x)))) in x 1.441 * [taylor]: Taking taylor expansion of (* x (+ 1.0 (/ 1 x))) in x 1.441 * [taylor]: Taking taylor expansion of x in x 1.441 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.441 * [taylor]: Taking taylor expansion of 1.0 in x 1.441 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.441 * [taylor]: Taking taylor expansion of x in x 1.452 * [approximate]: Taking taylor expansion of (/ -1 (* (- 1.0 (/ 1 x)) x)) in (x) around 0 1.453 * [taylor]: Taking taylor expansion of (/ -1 (* (- 1.0 (/ 1 x)) x)) in x 1.453 * [taylor]: Taking taylor expansion of -1 in x 1.453 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) x) in x 1.453 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.453 * [taylor]: Taking taylor expansion of 1.0 in x 1.453 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.453 * [taylor]: Taking taylor expansion of x in x 1.453 * [taylor]: Taking taylor expansion of x in x 1.455 * [taylor]: Taking taylor expansion of (/ -1 (* (- 1.0 (/ 1 x)) x)) in x 1.455 * [taylor]: Taking taylor expansion of -1 in x 1.455 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) x) in x 1.455 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.456 * [taylor]: Taking taylor expansion of 1.0 in x 1.456 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.456 * [taylor]: Taking taylor expansion of x in x 1.456 * [taylor]: Taking taylor expansion of x in x 1.474 * * * [progress]: simplifying candidates 1.476 * [simplify]: Simplifying using # : (expm1 (* (/ x (+ x 1.0)) (/ x y))) (log1p (* (/ x (+ x 1.0)) (/ x y))) (* (/ x (+ x 1.0)) (/ x y)) (+ (- (log x) (log (+ x 1.0))) (- (log x) (log y))) (+ (- (log x) (log (+ x 1.0))) (log (/ x y))) (+ (log (/ x (+ x 1.0))) (- (log x) (log y))) (+ (log (/ x (+ x 1.0))) (log (/ x y))) (log (* (/ x (+ x 1.0)) (/ x y))) (exp (* (/ x (+ x 1.0)) (/ x y))) (* (/ (* (* x x) x) (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0))) (/ (* (* x x) x) (* (* y y) y))) (* (/ (* (* x x) x) (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0))) (* (* (/ x y) (/ x y)) (/ x y))) (* (* (* (/ x (+ x 1.0)) (/ x (+ x 1.0))) (/ x (+ x 1.0))) (/ (* (* x x) x) (* (* y y) y))) (* (* (* (/ x (+ x 1.0)) (/ x (+ x 1.0))) (/ x (+ x 1.0))) (* (* (/ x y) (/ x y)) (/ x y))) (* (cbrt (* (/ x (+ x 1.0)) (/ x y))) (cbrt (* (/ x (+ x 1.0)) (/ x y)))) (cbrt (* (/ x (+ x 1.0)) (/ x y))) (* (* (* (/ x (+ x 1.0)) (/ x y)) (* (/ x (+ x 1.0)) (/ x y))) (* (/ x (+ x 1.0)) (/ x y))) (sqrt (* (/ x (+ x 1.0)) (/ x y))) (sqrt (* (/ x (+ x 1.0)) (/ x y))) (* x x) (* (+ x 1.0) y) (* (sqrt (/ x (+ x 1.0))) (sqrt (/ x y))) (* (sqrt (/ x (+ x 1.0))) (sqrt (/ x y))) (* (sqrt (/ x (+ x 1.0))) (/ (sqrt x) (sqrt y))) (* (sqrt (/ x (+ x 1.0))) (/ (sqrt x) (sqrt y))) (* (/ (sqrt x) (sqrt (+ x 1.0))) (sqrt (/ x y))) (* (/ (sqrt x) (sqrt (+ x 1.0))) (sqrt (/ x y))) (* (/ (sqrt x) (sqrt (+ x 1.0))) (/ (sqrt x) (sqrt y))) (* (/ (sqrt x) (sqrt (+ x 1.0))) (/ (sqrt x) (sqrt y))) (* (/ x (+ x 1.0)) (* (cbrt (/ x y)) (cbrt (/ x y)))) (* (/ x (+ x 1.0)) (sqrt (/ x y))) (* (/ x (+ x 1.0)) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (* (/ x (+ x 1.0)) (/ (* (cbrt x) (cbrt x)) (sqrt y))) (* (/ x (+ x 1.0)) (/ (* (cbrt x) (cbrt x)) 1)) (* (/ x (+ x 1.0)) (/ (sqrt x) (* (cbrt y) (cbrt y)))) (* (/ x (+ x 1.0)) (/ (sqrt x) (sqrt y))) (* (/ x (+ x 1.0)) (/ (sqrt x) 1)) (* (/ x (+ x 1.0)) (/ 1 (* (cbrt y) (cbrt y)))) (* (/ x (+ x 1.0)) (/ 1 (sqrt y))) (* (/ x (+ x 1.0)) (/ 1 1)) (* (/ x (+ x 1.0)) 1) (* (/ x (+ x 1.0)) x) (* (cbrt (/ x (+ x 1.0))) (/ x y)) (* (sqrt (/ x (+ x 1.0))) (/ x y)) (* 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(cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (sqrt x) (cbrt (+ x 1.0))) (/ (sqrt x) (sqrt (+ x 1.0))) (/ (sqrt x) (sqrt (+ x 1.0))) (/ (sqrt x) 1) (/ (sqrt x) (+ x 1.0)) (/ (sqrt x) 1) (/ (sqrt x) (+ x 1.0)) (/ 1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ x (cbrt (+ x 1.0))) (/ 1 (sqrt (+ x 1.0))) (/ x (sqrt (+ x 1.0))) (/ 1 1) (/ x (+ x 1.0)) (/ 1 1) (/ x (+ x 1.0)) (/ 1 (+ x 1.0)) (/ (+ x 1.0) x) (/ x (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ x (sqrt (+ x 1.0))) (/ x 1) (/ x 1) (/ (+ x 1.0) (cbrt x)) (/ (+ x 1.0) (sqrt x)) (/ (+ x 1.0) x) (/ x (+ (pow x 3) (pow 1.0 3))) (/ x (- (* x x) (* 1.0 1.0))) (- (+ (* 1.0 (/ (pow x 4) y)) (* 1.0 (/ (pow x 2) y))) (* 1.0 (/ (pow x 3) y))) (- (+ (/ x y) (* 1.0 (/ 1 (* x y)))) (* 1.0 (/ 1 y))) (- (+ (/ x y) (* 1.0 (/ 1 (* x y)))) (* 1.0 (/ 1 y))) (- (+ (* 1.0 x) (* 1.0 (/ (pow x 2) y))) (* 1.0 (/ (pow x 3) y))) (- (+ 1.0 (/ x y)) (* 1.0 (/ 1 x))) (- (+ 1.0 (/ x y)) (* 1.0 (/ 1 x))) (- (+ (* 1.0 (pow x 3)) (* 1.0 x)) (* 1.0 (pow x 2))) (- (+ (* 1.0 (/ 1 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1.0))) (log1p (/ x (+ x 1.0))) (log (/ x (+ x 1.0))) (log (/ x (+ x 1.0))) (exp (/ x (+ x 1.0))) (pow (/ x (+ x 1.0)) 3) (* (cbrt (/ x (+ x 1.0))) (cbrt (/ x (+ x 1.0)))) (cbrt (/ x (+ x 1.0))) (pow (/ x (+ x 1.0)) 3) (sqrt (/ x (+ x 1.0))) (sqrt (/ x (+ x 1.0))) (- x) (- (+ x 1.0)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (cbrt x) (cbrt (+ x 1.0))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x 1.0))) (/ (cbrt x) (sqrt (+ x 1.0))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x 1.0)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x 1.0)) (/ (sqrt x) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (sqrt x) (cbrt (+ x 1.0))) (/ (sqrt x) (sqrt (+ x 1.0))) (/ (sqrt x) (sqrt (+ x 1.0))) (sqrt x) (/ (sqrt x) (+ x 1.0)) (sqrt x) (/ (sqrt x) (+ x 1.0)) (/ 1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ x (cbrt (+ x 1.0))) (/ 1 (sqrt (+ x 1.0))) (/ x (sqrt (+ x 1.0))) 1 (/ x (+ x 1.0)) 1 (/ x (+ x 1.0)) (/ 1 (+ x 1.0)) (/ (+ x 1.0) x) (/ x (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ x (sqrt (+ x 1.0))) x x (/ (+ x 1.0) (cbrt x)) (/ (+ x 1.0) (sqrt x)) (/ (+ x 1.0) x) (/ x (+ (pow x 3) (pow 1.0 3))) (/ x (- (* x x) (* 1.0 1.0))) (* 1.0 (- (+ (/ (pow x 4) y) (/ (pow x 2) y)) (/ (pow x 3) y))) (fma 1.0 (- (/ 1 (* x y)) (/ 1 y)) (/ x y)) (fma 1.0 (- (/ 1 (* x y)) (/ 1 y)) (/ x y)) (* 1.0 (- (+ x (/ (pow x 2) y)) (/ (pow x 3) y))) (- (+ 1.0 (/ x y)) (* 1.0 (/ 1 x))) (- (+ 1.0 (/ x y)) (* 1.0 (/ 1 x))) (* 1.0 (- (+ (pow x 3) x) (pow x 2))) (fma 1.0 (/ 1 (pow x 2)) (- 1 (* 1.0 (/ 1 x)))) (fma 1.0 (/ 1 (pow x 2)) (- 1 (* 1.0 (/ 1 x)))) (* 1.0 (- (+ (pow x 3) x) (pow x 2))) (fma 1.0 (/ 1 (pow x 2)) (- 1 (* 1.0 (/ 1 x)))) (fma 1.0 (/ 1 (pow x 2)) (- 1 (* 1.0 (/ 1 x)))) 1.557 * * * [progress]: adding candidates to table 1.918 * [progress]: [Phase 3 of 3] Extracting. 1.918 * * [regime]: Finding splitpoints for: (# # # # #) 1.919 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.919 * * * * [regimes]: Trying to branch on y from (# # # # #) 1.942 * * * * [regimes]: Trying to branch on x from (# # # # #) 1.961 * * * [regime]: Found split indices: #