18.460 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.021 * * * [progress]: [2/2] Setting up program. 0.024 * [progress]: [Phase 2 of 3] Improving. 0.024 * [simplify]: Simplifying using # : (- x (/ y (+ 1.0 (/ (* x y) 2.0)))) 0.026 * * [simplify]: iteration 0 : 15 enodes (cost 5 ) 0.027 * * [simplify]: iteration 1 : 22 enodes (cost 5 ) 0.028 * * [simplify]: iteration 2 : 25 enodes (cost 5 ) 0.029 * * [simplify]: iteration 3 : 26 enodes (cost 5 ) 0.030 * * [simplify]: iteration 4 : 26 enodes (cost 5 ) 0.030 * [simplify]: Simplified to: (- x (/ y (+ 1.0 (/ (* x y) 2.0)))) 0.030 * * [progress]: iteration 1 / 4 0.030 * * * [progress]: picking best candidate 0.033 * * * * [pick]: Picked # 0.033 * * * [progress]: localizing error 0.039 * * * [progress]: generating rewritten candidates 0.039 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.045 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 0.049 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.059 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2) 0.065 * * * [progress]: generating series expansions 0.065 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.065 * [approximate]: Approximating (/ y (+ (* 0.5 (* x y)) 1.0)) in (y x) around 0 0.068 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in x 0.070 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in x 0.073 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in x 0.078 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in x 0.083 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in x 0.084 * [approximate]: Approximating (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (y x) around 0 0.089 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.097 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.101 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.120 * [approximate]: Approximating (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (y x) around 0 0.128 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.135 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.139 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.143 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.149 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.152 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 0.152 * [approximate]: Approximating (+ (* 0.5 (* x y)) 1.0) in (x y) around 0 0.153 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 0.154 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 0.156 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 0.159 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 0.163 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 0.163 * [approximate]: Approximating (+ (* 0.5 (/ 1 (* x y))) 1.0) in (x y) around 0 0.164 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.166 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.169 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.173 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.184 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.184 * [approximate]: Approximating (+ (* 0.5 (/ 1 (* x y))) 1.0) in (x y) around 0 0.185 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.188 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.191 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.195 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.199 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.200 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.200 * [approximate]: Approximating (- x (/ y (+ (* 0.5 (* x y)) 1.0))) in (x y) around 0 0.203 * [taylor]: Taking taylor expansion of (- x (/ y (+ (* 0.5 (* x y)) 1.0))) in y 0.204 * [taylor]: Taking taylor expansion of (- x (/ y (+ (* 0.5 (* x y)) 1.0))) in y 0.209 * [taylor]: Taking taylor expansion of (- x (/ y (+ (* 0.5 (* x y)) 1.0))) in y 0.214 * [taylor]: Taking taylor expansion of (- x (/ y (+ (* 0.5 (* x y)) 1.0))) in y 0.216 * [approximate]: Approximating (- (/ 1 x) (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y))) in (x y) around 0 0.221 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y))) in y 0.222 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y))) in y 0.224 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y))) in y 0.227 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y))) in y 0.228 * [approximate]: Approximating (- (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) (/ 1 x)) in (x y) around 0 0.233 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) (/ 1 x)) in y 0.234 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) (/ 1 x)) in y 0.236 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) (/ 1 x)) in y 0.238 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) (/ 1 x)) in y 0.239 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2) 0.239 * [approximate]: Approximating (* 0.5 (* x y)) in (x y) around 0 0.240 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.241 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.242 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.245 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.249 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.249 * [approximate]: Approximating (/ 0.5 (* x y)) in (x y) around 0 0.251 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in y 0.252 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in y 0.259 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in y 0.261 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in y 0.262 * [approximate]: Approximating (/ 0.5 (* x y)) in (x y) around 0 0.263 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in y 0.265 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in y 0.266 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in y 0.268 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in y 0.269 * * * [progress]: simplifying candidates 0.271 * [simplify]: Simplifying using # : (- (log y) (log (+ 1.0 (/ (* x y) 2.0)))) (log (/ y (+ 1.0 (/ (* x y) 2.0)))) (exp (/ y (+ 1.0 (/ (* x y) 2.0)))) (/ (* (* y y) y) (* (* (+ 1.0 (/ (* x y) 2.0)) (+ 1.0 (/ (* x y) 2.0))) (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt (/ y (+ 1.0 (/ (* x y) 2.0)))) (cbrt (/ y (+ 1.0 (/ (* x y) 2.0))))) (cbrt (/ y (+ 1.0 (/ (* x y) 2.0)))) (* (* (/ y (+ 1.0 (/ (* x y) 2.0))) (/ y (+ 1.0 (/ (* x y) 2.0)))) (/ y (+ 1.0 (/ (* x y) 2.0)))) (sqrt (/ y (+ 1.0 (/ (* x y) 2.0)))) (sqrt (/ y (+ 1.0 (/ (* x y) 2.0)))) (neg y) (neg (+ 1.0 (/ (* x y) 2.0))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (cbrt y) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (* (cbrt y) (cbrt y)) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (cbrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (* (cbrt y) (cbrt y)) 1) (/ (cbrt y) (+ 1.0 (/ (* x y) 2.0))) (/ (* (cbrt y) (cbrt y)) 1) (/ (cbrt y) (+ 1.0 (/ (* x y) 2.0))) (/ (sqrt y) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (sqrt y) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) 1) (/ (sqrt y) (+ 1.0 (/ (* x y) 2.0))) (/ (sqrt y) 1) (/ (sqrt y) (+ 1.0 (/ (* x y) 2.0))) (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 1) (/ y (+ 1.0 (/ (* x y) 2.0))) (/ 1 1) (/ y (+ 1.0 (/ (* x y) 2.0))) (/ 1 (+ 1.0 (/ (* x y) 2.0))) (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ y (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y 1) (/ y 1) (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y)) (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y)) (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ y (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3))) (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (* (exp 1.0) (exp (/ (* x y) 2.0))) (log (+ 1.0 (/ (* x y) 2.0))) (exp (+ 1.0 (/ (* x y) 2.0))) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (cbrt (+ 1.0 (/ (* x y) 2.0))) (* (* (+ 1.0 (/ (* x y) 2.0)) (+ 1.0 (/ (* x y) 2.0))) (+ 1.0 (/ (* x y) 2.0))) (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt (+ 1.0 (/ (* x y) 2.0))) (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3)) (+ (* 1.0 1.0) (- (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (* 1.0 (/ (* x y) 2.0)))) (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))) (- 1.0 (/ (* x y) 2.0)) (+ 1.0 (/ (* x y) 2.0)) (/ (exp x) (exp (/ y (+ 1.0 (/ (* x y) 2.0))))) (log (- x (/ y (+ 1.0 (/ (* x y) 2.0))))) (exp (- x (/ y (+ 1.0 (/ (* x y) 2.0))))) (* (cbrt (- x (/ y (+ 1.0 (/ (* x y) 2.0))))) (cbrt (- x (/ y (+ 1.0 (/ (* x y) 2.0)))))) (cbrt (- x (/ y (+ 1.0 (/ (* x y) 2.0))))) (* (* (- x (/ y (+ 1.0 (/ (* x y) 2.0)))) (- x (/ y (+ 1.0 (/ (* x y) 2.0))))) (- x (/ y (+ 1.0 (/ (* x y) 2.0))))) (sqrt (- x (/ y (+ 1.0 (/ (* x y) 2.0))))) (sqrt (- x (/ y (+ 1.0 (/ (* x y) 2.0))))) (- (pow x 3) (pow (/ y (+ 1.0 (/ (* x y) 2.0))) 3)) (+ (* x x) (+ (* (/ y (+ 1.0 (/ (* x y) 2.0))) (/ y (+ 1.0 (/ (* x y) 2.0)))) (* x (/ y (+ 1.0 (/ (* x y) 2.0)))))) (neg (/ y (+ 1.0 (/ (* x y) 2.0)))) (- (* x x) (* (/ y (+ 1.0 (/ (* x y) 2.0))) (/ y (+ 1.0 (/ (* x y) 2.0))))) (+ x (/ y (+ 1.0 (/ (* x y) 2.0)))) (+ (sqrt x) (sqrt (/ y (+ 1.0 (/ (* x y) 2.0))))) (- (sqrt x) (sqrt (/ y (+ 1.0 (/ (* x y) 2.0))))) (+ (sqrt x) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0))))) (- (sqrt x) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0))))) (- x (/ y (+ 1.0 (/ (* x y) 2.0)))) (neg (/ y (+ 1.0 (/ (* x y) 2.0)))) (- (+ (log x) (log y)) (log 2.0)) (- (log (* x y)) (log 2.0)) (log (/ (* x y) 2.0)) (exp (/ (* x y) 2.0)) (/ (* (* (* x x) x) (* (* y y) y)) (* (* 2.0 2.0) 2.0)) (/ (* (* (* x y) (* x y)) (* x y)) (* (* 2.0 2.0) 2.0)) (* (cbrt (/ (* x y) 2.0)) (cbrt (/ (* x y) 2.0))) (cbrt (/ (* x y) 2.0)) (* (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (/ (* x y) 2.0)) (sqrt (/ (* x y) 2.0)) (sqrt (/ (* x y) 2.0)) (neg (* x y)) (neg 2.0) (/ x (* (cbrt 2.0) (cbrt 2.0))) (/ y (cbrt 2.0)) (/ x (sqrt 2.0)) (/ y (sqrt 2.0)) (/ x 1) (/ y 2.0) (/ 1 2.0) (/ 2.0 (* x y)) (/ (* x y) (* (cbrt 2.0) (cbrt 2.0))) (/ (* x y) (sqrt 2.0)) (/ (* x y) 1) (/ 2.0 y) (- (+ (* 1.0 y) (* 0.25 (* (pow x 2) (pow y 3)))) (* 0.5 (* x (pow y 2)))) (- (+ (* 8.0 (/ 1 (* (pow x 3) (pow y 2)))) (* 2.0 (/ 1 x))) (* 4.0 (/ 1 (* (pow x 2) y)))) (- (+ (* 8.0 (/ 1 (* (pow x 3) (pow y 2)))) (* 2.0 (/ 1 x))) (* 4.0 (/ 1 (* (pow x 2) y)))) (+ (* 0.5 (* x y)) 1.0) (+ (* 0.5 (* x y)) 1.0) (+ (* 0.5 (* x y)) 1.0) (- (+ (* 0.5 (* x (pow y 2))) x) (* 1.0 y)) (- x (* 2.0 (/ 1 x))) (- x (* 2.0 (/ 1 x))) (* 0.5 (* x y)) (* 0.5 (* x y)) (* 0.5 (* x y)) 0.276 * * [simplify]: iteration 0 : 378 enodes (cost 589 ) 0.282 * * [simplify]: iteration 1 : 1545 enodes (cost 551 ) 0.307 * * [simplify]: iteration 2 : 5001 enodes (cost 545 ) 0.310 * [simplify]: Simplified to: (log (/ y (+ 1.0 (/ (* x y) 2.0)))) (log (/ y (+ 1.0 (/ (* x y) 2.0)))) (exp (/ y (+ 1.0 (/ (* x y) 2.0)))) (pow (/ y (+ 1.0 (/ (* x y) 2.0))) 3) (* (cbrt (/ y (+ 1.0 (/ (* x y) 2.0)))) (cbrt (/ y (+ 1.0 (/ (* x y) 2.0))))) (cbrt (/ y (+ 1.0 (/ (* x y) 2.0)))) (pow (/ y (+ 1.0 (/ (* x y) 2.0))) 3) (sqrt (/ y (+ 1.0 (/ (* x y) 2.0)))) (sqrt (/ y (+ 1.0 (/ (* x y) 2.0)))) (neg y) (neg (+ 1.0 (/ (* x y) 2.0))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (cbrt y) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (* (cbrt y) (cbrt y)) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (cbrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ 1.0 (/ (* x y) 2.0))) (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ 1.0 (/ (* x y) 2.0))) (/ (sqrt y) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (sqrt y) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt y) (/ (sqrt y) (+ 1.0 (/ (* x y) 2.0))) (sqrt y) (/ (sqrt y) (+ 1.0 (/ (* x y) 2.0))) (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) 1 (/ y (+ 1.0 (/ (* x y) 2.0))) 1 (/ y (+ 1.0 (/ (* x y) 2.0))) (/ 1 (+ 1.0 (/ (* x y) 2.0))) (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ y (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) y y (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y)) (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y)) (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ y (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3))) (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (exp (+ 1.0 (/ (* x y) 2.0))) (log (+ 1.0 (/ (* x y) 2.0))) (exp (+ 1.0 (/ (* x y) 2.0))) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (cbrt (+ 1.0 (/ (* x y) 2.0))) (pow (+ 1.0 (/ (* x y) 2.0)) 3) (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt (+ 1.0 (/ (* x y) 2.0))) (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3)) (+ (* (/ (* x y) 2.0) (- (/ (* x y) 2.0) 1.0)) (* 1.0 1.0)) (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))) (- 1.0 (/ (* x y) 2.0)) (+ 1.0 (/ (* x y) 2.0)) (exp (- x (/ y (+ 1.0 (/ (* x y) 2.0))))) (log (- x (/ y (+ 1.0 (/ (* x y) 2.0))))) (exp (- x (/ y (+ 1.0 (/ (* x y) 2.0))))) (* (cbrt (- x (/ y (+ 1.0 (/ (* x y) 2.0))))) (cbrt (- x (/ y (+ 1.0 (/ (* x y) 2.0)))))) (cbrt (- x (/ y (+ 1.0 (/ (* x y) 2.0))))) (pow (- x (/ y (+ 1.0 (/ (* x y) 2.0)))) 3) (sqrt (- x (/ y (+ 1.0 (/ (* x y) 2.0))))) (sqrt (- x (/ y (+ 1.0 (/ (* x y) 2.0))))) (- (pow x 3) (pow (/ y (+ 1.0 (/ (* x y) 2.0))) 3)) (+ (* (/ y (+ 1.0 (/ (* x y) 2.0))) (+ (/ y (+ 1.0 (/ (* x y) 2.0))) x)) (pow x 2)) (neg (/ y (+ 1.0 (/ (* x y) 2.0)))) (- (* x x) (* (/ y (+ 1.0 (/ (* x y) 2.0))) (/ y (+ 1.0 (/ (* x y) 2.0))))) (+ x (/ y (+ 1.0 (/ (* x y) 2.0)))) (+ (sqrt x) (sqrt (/ y (+ 1.0 (/ (* x y) 2.0))))) (- (sqrt x) (sqrt (/ y (+ 1.0 (/ (* x y) 2.0))))) (+ (sqrt x) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0))))) (- (sqrt x) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0))))) (- x (/ y (+ 1.0 (/ (* x y) 2.0)))) (neg (/ y (+ 1.0 (/ (* x y) 2.0)))) (log (/ (* x y) 2.0)) (log (/ (* x y) 2.0)) (log (/ (* x y) 2.0)) (exp (/ (* x y) 2.0)) (pow (/ (* x y) 2.0) 3) (pow (/ (* x y) 2.0) 3) (* (cbrt (/ (* x y) 2.0)) (cbrt (/ (* x y) 2.0))) (cbrt (/ (* x y) 2.0)) (pow (/ (* x y) 2.0) 3) (sqrt (/ (* x y) 2.0)) (sqrt (/ (* x y) 2.0)) (neg (* x y)) (neg 2.0) (/ x (* (cbrt 2.0) (cbrt 2.0))) (/ y (cbrt 2.0)) (/ x (sqrt 2.0)) (/ y (sqrt 2.0)) x (/ y 2.0) (/ 1 2.0) (/ 2.0 (* x y)) (/ (* x y) (* (cbrt 2.0) (cbrt 2.0))) (/ (* x y) (sqrt 2.0)) (* x y) (/ 2.0 y) (- (* 0.25 (* (pow x 2) (pow y 3))) (* y (- (* 0.5 (* x y)) 1.0))) (- (/ 2.0 x) (- (/ (/ 4.0 y) (pow x 2)) (/ (/ 8.0 (pow y 2)) (pow x 3)))) (- (/ 2.0 x) (- (/ (/ 4.0 y) (pow x 2)) (/ (/ 8.0 (pow y 2)) (pow x 3)))) (+ (* 0.5 (* x y)) 1.0) (+ (* 0.5 (* x y)) 1.0) (+ (* 0.5 (* x y)) 1.0) (- x (* y (- 1.0 (* 0.5 (* x y))))) (- x (/ 2.0 x)) (- x (/ 2.0 x)) (* 0.5 (* x y)) (* 0.5 (* x y)) (* 0.5 (* x y)) 0.311 * * * [progress]: adding candidates to table 0.696 * * [progress]: iteration 2 / 4 0.696 * * * [progress]: picking best candidate 0.708 * * * * [pick]: Picked # 0.708 * * * [progress]: localizing error 0.719 * * * [progress]: generating rewritten candidates 0.719 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.726 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.735 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 0.739 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.764 * * * [progress]: generating series expansions 0.764 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.764 * [approximate]: Approximating (/ (+ (* 0.5 (* x y)) 1.0) y) in (x y) around 0 0.767 * [taylor]: Taking taylor expansion of (/ (+ (* 0.5 (* x y)) 1.0) y) in y 0.768 * [taylor]: Taking taylor expansion of (/ (+ (* 0.5 (* x y)) 1.0) y) in y 0.771 * [taylor]: Taking taylor expansion of (/ (+ (* 0.5 (* x y)) 1.0) y) in y 0.774 * [taylor]: Taking taylor expansion of (/ (+ (* 0.5 (* x y)) 1.0) y) in y 0.777 * [taylor]: Taking taylor expansion of (/ (+ (* 0.5 (* x y)) 1.0) y) in y 0.778 * [approximate]: Approximating (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in (x y) around 0 0.779 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.781 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.783 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.791 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.797 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.804 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.804 * [approximate]: Approximating (* -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (x y) around 0 0.806 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.808 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.811 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.816 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.824 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.832 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.832 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.832 * [approximate]: Approximating (/ y (+ (* 0.5 (* x y)) 1.0)) in (x y) around 0 0.835 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in y 0.837 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in y 0.841 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in y 0.846 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in y 0.854 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in y 0.855 * [approximate]: Approximating (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (x y) around 0 0.859 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.866 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.870 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.877 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.884 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.886 * [approximate]: Approximating (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (x y) around 0 0.890 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.892 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.896 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.902 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.909 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.911 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 0.911 * [approximate]: Approximating (+ (* 0.5 (* x y)) 1.0) in (x y) around 0 0.912 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 0.913 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 0.915 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 0.918 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 0.922 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 0.922 * [approximate]: Approximating (+ (* 0.5 (/ 1 (* x y))) 1.0) in (x y) around 0 0.924 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.926 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.929 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.933 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.938 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.939 * [approximate]: Approximating (+ (* 0.5 (/ 1 (* x y))) 1.0) in (x y) around 0 0.940 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.947 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.951 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.955 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.960 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.960 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.960 * [approximate]: Approximating (- x (/ y (+ (* 0.5 (* x y)) 1.0))) in (x y) around 0 0.963 * [taylor]: Taking taylor expansion of (- x (/ y (+ (* 0.5 (* x y)) 1.0))) in y 0.965 * [taylor]: Taking taylor expansion of (- x (/ y (+ (* 0.5 (* x y)) 1.0))) in y 0.970 * [taylor]: Taking taylor expansion of (- x (/ y (+ (* 0.5 (* x y)) 1.0))) in y 0.975 * [taylor]: Taking taylor expansion of (- x (/ y (+ (* 0.5 (* x y)) 1.0))) in y 0.976 * [approximate]: Approximating (- (/ 1 x) (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y))) in (x y) around 0 0.981 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y))) in y 0.982 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y))) in y 0.984 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y))) in y 0.987 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y))) in y 0.988 * [approximate]: Approximating (- (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) (/ 1 x)) in (x y) around 0 0.993 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) (/ 1 x)) in y 0.995 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) (/ 1 x)) in y 0.996 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) (/ 1 x)) in y 0.999 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) (/ 1 x)) in y 1.000 * * * [progress]: simplifying candidates 1.003 * [simplify]: Simplifying using # : (- (log (+ 1.0 (/ (* x y) 2.0))) (log y)) (log (/ (+ 1.0 (/ (* x y) 2.0)) y)) (exp (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ (* (* (+ 1.0 (/ (* x y) 2.0)) (+ 1.0 (/ (* x y) 2.0))) (+ 1.0 (/ (* x y) 2.0))) (* (* y y) y)) (* (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (* (* (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ (+ 1.0 (/ (* x y) 2.0)) y)) (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (neg (+ 1.0 (/ (* x y) 2.0))) (neg y) (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt y)) (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt y)) (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y)) (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) 1) (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) y) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (* (cbrt y) (cbrt y))) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (cbrt y)) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y)) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y)) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) 1) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y)) (/ 1 (sqrt y)) (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y)) (/ 1 1) (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y)) (/ 1 (sqrt y)) (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y)) (/ 1 1) (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ 1 y) (/ y (+ 1.0 (/ (* x y) 2.0))) (/ (+ 1.0 (/ (* x y) 2.0)) (* (cbrt y) (cbrt y))) (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y)) (/ (+ 1.0 (/ (* x y) 2.0)) 1) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (+ 1.0 (/ (* x y) 2.0))) (/ y (+ 1.0 (/ (* x y) 2.0))) (* y (+ (* 1.0 1.0) (- (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (* 1.0 (/ (* x y) 2.0))))) (* y (- 1.0 (/ (* x y) 2.0))) (neg 1) (neg (- (log (+ 1.0 (/ (* x y) 2.0))) (log y))) (neg (log (/ (+ 1.0 (/ (* x y) 2.0)) y))) (- 0 (- (log (+ 1.0 (/ (* x y) 2.0))) (log y))) (- 0 (log (/ (+ 1.0 (/ (* x y) 2.0)) y))) (- (log 1) (- (log (+ 1.0 (/ (* x y) 2.0))) (log y))) (- (log 1) (log (/ (+ 1.0 (/ (* x y) 2.0)) y))) (log (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (exp (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ (* (* 1 1) 1) (/ (* (* (+ 1.0 (/ (* x y) 2.0)) (+ 1.0 (/ (* x y) 2.0))) (+ 1.0 (/ (* x y) 2.0))) (* (* y y) y))) (/ (* (* 1 1) 1) (* (* (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ (+ 1.0 (/ (* x y) 2.0)) y))) (* (cbrt (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (cbrt (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (cbrt (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (* (* (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (sqrt (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (sqrt (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (neg 1) (neg (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (/ (cbrt 1) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ (cbrt 1) (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt y) (cbrt y)))) (/ (cbrt 1) (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt y))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt y))) (/ (cbrt 1) (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) 1)) (/ (cbrt 1) (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) y)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (* (cbrt y) (cbrt y)))) (/ (cbrt 1) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (cbrt y))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y))) (/ (cbrt 1) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) 1)) (/ (cbrt 1) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) y)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt y) (cbrt y)))) (/ (cbrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt y))) (/ (cbrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt y) (cbrt y)))) (/ (cbrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt y))) (/ (cbrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ (* (cbrt 1) (cbrt 1)) (+ 1.0 (/ (* x y) 2.0))) (/ (cbrt 1) (/ 1 y)) (/ (sqrt 1) (* (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (/ (sqrt 1) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ (sqrt 1) (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ (sqrt 1) (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ (sqrt 1) (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt y) (cbrt y)))) (/ (sqrt 1) (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt y))) (/ (sqrt 1) (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt y))) (/ (sqrt 1) (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y))) (/ (sqrt 1) (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) 1)) (/ (sqrt 1) (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) y)) (/ (sqrt 1) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (* (cbrt y) (cbrt y)))) (/ (sqrt 1) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (cbrt y))) (/ (sqrt 1) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y))) (/ (sqrt 1) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y))) (/ (sqrt 1) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) 1)) (/ (sqrt 1) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) y)) (/ (sqrt 1) (/ 1 (* (cbrt y) (cbrt y)))) (/ (sqrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))) (/ (sqrt 1) (/ 1 (sqrt y))) (/ (sqrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ (sqrt 1) (/ 1 (* (cbrt y) (cbrt y)))) (/ (sqrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))) (/ (sqrt 1) (/ 1 (sqrt y))) (/ (sqrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ (sqrt 1) (+ 1.0 (/ (* x y) 2.0))) (/ (sqrt 1) (/ 1 y)) (/ 1 (* (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (/ 1 (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ 1 (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ 1 (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ 1 (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt y) (cbrt y)))) (/ 1 (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt y))) (/ 1 (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt y))) (/ 1 (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y))) (/ 1 (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) 1)) (/ 1 (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) y)) (/ 1 (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (* (cbrt y) (cbrt y)))) (/ 1 (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (cbrt y))) (/ 1 (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y))) (/ 1 (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y))) (/ 1 (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) 1)) (/ 1 (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) y)) (/ 1 (/ 1 (* (cbrt y) (cbrt y)))) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))) (/ 1 (/ 1 (sqrt y))) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y))) (/ 1 (/ 1 1)) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ 1 (/ 1 (* (cbrt y) (cbrt y)))) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))) (/ 1 (/ 1 (sqrt y))) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y))) (/ 1 (/ 1 1)) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ 1 1) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ 1 (+ 1.0 (/ (* x y) 2.0))) (/ 1 (/ 1 y)) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ (/ (+ 1.0 (/ (* x y) 2.0)) y) 1) (/ 1 (* (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (/ 1 (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ 1 (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt y) (cbrt y)))) (/ 1 (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt y))) (/ 1 (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) 1)) (/ 1 (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (* (cbrt y) (cbrt y)))) (/ 1 (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y))) (/ 1 (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) 1)) (/ 1 (/ 1 (* (cbrt y) (cbrt y)))) (/ 1 (/ 1 (sqrt y))) (/ 1 (/ 1 1)) (/ 1 (/ 1 (* (cbrt y) (cbrt y)))) (/ 1 (/ 1 (sqrt y))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (+ 1.0 (/ (* x y) 2.0))) (/ (/ (+ 1.0 (/ (* x y) 2.0)) y) (cbrt 1)) (/ (/ (+ 1.0 (/ (* x y) 2.0)) y) (sqrt 1)) (/ (/ (+ 1.0 (/ (* x y) 2.0)) y) 1) (/ 1 (+ 1.0 (/ (* x y) 2.0))) (* (exp 1.0) (exp (/ (* x y) 2.0))) (log (+ 1.0 (/ (* x y) 2.0))) (exp (+ 1.0 (/ (* x y) 2.0))) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (cbrt (+ 1.0 (/ (* x y) 2.0))) (* (* (+ 1.0 (/ (* x y) 2.0)) (+ 1.0 (/ (* x y) 2.0))) (+ 1.0 (/ (* x y) 2.0))) (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt (+ 1.0 (/ (* x y) 2.0))) (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3)) (+ (* 1.0 1.0) (- (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (* 1.0 (/ (* x y) 2.0)))) (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))) (- 1.0 (/ (* x y) 2.0)) (+ 1.0 (/ (* x y) 2.0)) (/ (exp x) (exp (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (log (- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (exp (- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (* (cbrt (- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (cbrt (- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))))) (cbrt (- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (* (* (- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (sqrt (- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (sqrt (- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (- (pow x 3) (pow (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)) 3)) (+ (* x x) (+ (* (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (* x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))))) (neg (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (- (* x x) (* (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (+ x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (+ (sqrt x) (sqrt (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (- (sqrt x) (sqrt (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (+ (sqrt x) (/ (sqrt 1) (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (- (sqrt x) (/ (sqrt 1) (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (+ (sqrt x) (/ (sqrt 1) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y)))) (- (sqrt x) (/ (sqrt 1) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y)))) (+ (sqrt x) (/ 1 (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (- (sqrt x) (/ 1 (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (+ (sqrt x) (/ 1 (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y)))) (- (sqrt x) (/ 1 (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y)))) (- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (neg (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (+ (* 0.5 x) (* 1.0 (/ 1 y))) (+ (* 0.5 x) (* 1.0 (/ 1 y))) (+ (* 0.5 x) (* 1.0 (/ 1 y))) (- (+ (* 1.0 y) (* 0.25 (* (pow x 2) (pow y 3)))) (* 0.5 (* x (pow y 2)))) (- (+ (* 8.0 (/ 1 (* (pow x 3) (pow y 2)))) (* 2.0 (/ 1 x))) (* 4.0 (/ 1 (* (pow x 2) y)))) (- (+ (* 8.0 (/ 1 (* (pow x 3) (pow y 2)))) (* 2.0 (/ 1 x))) (* 4.0 (/ 1 (* (pow x 2) y)))) (+ (* 0.5 (* x y)) 1.0) (+ (* 0.5 (* x y)) 1.0) (+ (* 0.5 (* x y)) 1.0) (- (+ (* 0.5 (* x (pow y 2))) x) (* 1.0 y)) (- x (* 2.0 (/ 1 x))) (- x (* 2.0 (/ 1 x))) 1.011 * * [simplify]: iteration 0 : 548 enodes (cost 1492 ) 1.021 * * [simplify]: iteration 1 : 2384 enodes (cost 1275 ) 1.053 * * [simplify]: iteration 2 : 5002 enodes (cost 1266 ) 1.060 * [simplify]: Simplified to: (log (/ (+ 1.0 (/ (* x y) 2.0)) y)) (log (/ (+ 1.0 (/ (* x y) 2.0)) y)) (exp (/ (+ 1.0 (/ (* x y) 2.0)) y)) (pow (/ (+ 1.0 (/ (* x y) 2.0)) y) 3) (* (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (pow (/ (+ 1.0 (/ (* x y) 2.0)) y) 3) (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (neg (+ 1.0 (/ (* x y) 2.0))) (neg y) (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt y)) (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt y)) (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y)) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) y) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (* (cbrt y) (cbrt y))) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (cbrt y)) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y)) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y)) (sqrt (+ 1.0 (/ (* x y) 2.0))) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y)) (/ 1 (sqrt y)) (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y)) 1 (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y)) (/ 1 (sqrt y)) (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y)) 1 (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ 1 y) (/ y (+ 1.0 (/ (* x y) 2.0))) (/ (+ 1.0 (/ (* x y) 2.0)) (* (cbrt y) (cbrt y))) (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y)) (+ 1.0 (/ (* x y) 2.0)) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (+ 1.0 (/ (* x y) 2.0))) (/ y (+ 1.0 (/ (* x y) 2.0))) (* (+ (* (/ (* x y) 2.0) (- (/ (* x y) 2.0) 1.0)) (* 1.0 1.0)) y) (* y (- 1.0 (/ (* x y) 2.0))) -1 (log (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (log (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (log (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (log (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (log (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (log (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (log (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (exp (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (pow (/ y (+ 1.0 (/ (* x y) 2.0))) 3) (pow (/ y (+ 1.0 (/ (* x y) 2.0))) 3) (* (cbrt (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (cbrt (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (cbrt (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (pow (/ y (+ 1.0 (/ (* x y) 2.0))) 3) (sqrt (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (sqrt (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) -1 (neg (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ 1 (* (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (/ 1 (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ 1 (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ 1 (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (cbrt y) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (sqrt y) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (* (cbrt y) (cbrt y)) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (cbrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt y) (cbrt y)) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))) (sqrt y) (/ (sqrt y) (+ 1.0 (/ (* x y) 2.0))) 1 (/ y (+ 1.0 (/ (* x y) 2.0))) (* (cbrt y) (cbrt y)) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))) (sqrt y) (/ (sqrt y) (+ 1.0 (/ (* x y) 2.0))) 1 (/ y (+ 1.0 (/ (* x y) 2.0))) 1 (/ y (+ 1.0 (/ (* x y) 2.0))) (/ 1 (+ 1.0 (/ (* x y) 2.0))) y (/ 1 (* (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (/ 1 (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ 1 (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ 1 (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (cbrt y) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (sqrt y) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (* (cbrt y) (cbrt y)) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (cbrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt y) (cbrt y)) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))) (sqrt y) (/ (sqrt y) (+ 1.0 (/ (* x y) 2.0))) 1 (/ y (+ 1.0 (/ (* x y) 2.0))) (* (cbrt y) (cbrt y)) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))) (sqrt y) (/ (sqrt y) (+ 1.0 (/ (* x y) 2.0))) 1 (/ y (+ 1.0 (/ (* x y) 2.0))) 1 (/ y (+ 1.0 (/ (* x y) 2.0))) (/ 1 (+ 1.0 (/ (* x y) 2.0))) y (/ 1 (* (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (/ 1 (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ 1 (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ 1 (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (cbrt y) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (sqrt y) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (* (cbrt y) (cbrt y)) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (cbrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt y) (cbrt y)) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))) (sqrt y) (/ (sqrt y) (+ 1.0 (/ (* x y) 2.0))) 1 (/ y (+ 1.0 (/ (* x y) 2.0))) (* (cbrt y) (cbrt y)) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))) (sqrt y) (/ (sqrt y) (+ 1.0 (/ (* x y) 2.0))) 1 (/ y (+ 1.0 (/ (* x y) 2.0))) 1 (/ y (+ 1.0 (/ (* x y) 2.0))) (/ 1 (+ 1.0 (/ (* x y) 2.0))) y (/ y (+ 1.0 (/ (* x y) 2.0))) (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ 1 (* (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (/ 1 (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (sqrt y) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (* (cbrt y) (cbrt y)) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt y) (cbrt y)) (sqrt y) 1 (* (cbrt y) (cbrt y)) (sqrt y) 1 1 (/ 1 (+ 1.0 (/ (* x y) 2.0))) (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ 1 (+ 1.0 (/ (* x y) 2.0))) (exp (+ 1.0 (/ (* x y) 2.0))) (log (+ 1.0 (/ (* x y) 2.0))) (exp (+ 1.0 (/ (* x y) 2.0))) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (cbrt (+ 1.0 (/ (* x y) 2.0))) (pow (+ 1.0 (/ (* x y) 2.0)) 3) (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt (+ 1.0 (/ (* x y) 2.0))) (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3)) (+ (* (/ (* x y) 2.0) (- (/ (* x y) 2.0) 1.0)) (* 1.0 1.0)) (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))) (- 1.0 (/ (* x y) 2.0)) (+ 1.0 (/ (* x y) 2.0)) (exp (- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (log (- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (exp (- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (* (cbrt (- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (cbrt (- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))))) (cbrt (- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (pow (- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) 3) (sqrt (- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (sqrt (- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (- (pow x 3) (pow (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)) 3)) (+ (* (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)) (+ (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)) x)) (pow x 2)) (/ -1 (/ (+ 1.0 (/ (* x y) 2.0)) y)) (- (pow x 2) (* (/ (/ y (+ 1.0 (/ (* x y) 2.0))) (+ 1.0 (/ (* x y) 2.0))) y)) (+ x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (+ (sqrt x) (sqrt (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (- (sqrt x) (sqrt (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (+ (sqrt x) (/ 1 (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (- (sqrt x) (/ 1 (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (+ (sqrt x) (/ 1 (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y)))) (- (sqrt x) (/ 1 (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y)))) (+ (sqrt x) (/ 1 (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (- (sqrt x) (/ 1 (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (+ (sqrt x) (/ 1 (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y)))) (- (sqrt x) (/ 1 (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y)))) (- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ -1 (/ (+ 1.0 (/ (* x y) 2.0)) y)) (+ (* 0.5 x) (* 1.0 (/ 1 y))) (+ (* 0.5 x) (* 1.0 (/ 1 y))) (+ (* 0.5 x) (* 1.0 (/ 1 y))) (- (+ (* 1.0 y) (* 0.25 (* (pow x 2) (pow y 3)))) (* 0.5 (* x (pow y 2)))) (+ (- (* 2.0 (/ 1 x)) (* 4.0 (/ 1 (* (pow x 2) y)))) (/ (/ 8.0 (pow y 2)) (pow x 3))) (+ (- (* 2.0 (/ 1 x)) (* 4.0 (/ 1 (* (pow x 2) y)))) (/ (/ 8.0 (pow y 2)) (pow x 3))) (+ (* 0.5 (* x y)) 1.0) (+ (* 0.5 (* x y)) 1.0) (+ (* 0.5 (* x y)) 1.0) (- (+ (* 0.5 (* x (pow y 2))) x) (* 1.0 y)) (- x (* 2.0 (/ 1 x))) (- x (* 2.0 (/ 1 x))) 1.061 * * * [progress]: adding candidates to table 1.594 * * [progress]: iteration 3 / 4 1.594 * * * [progress]: picking best candidate 1.603 * * * * [pick]: Picked # 1.604 * * * [progress]: localizing error 1.612 * * * [progress]: generating rewritten candidates 1.612 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.631 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2) 1.639 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1) 1.647 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 1.670 * * * [progress]: generating series expansions 1.670 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.671 * [approximate]: Approximating (/ y (+ (/ (* x y) (pow (sqrt 2.0) 2)) 1.0)) in (y x) around 0 1.682 * [taylor]: Taking taylor expansion of (/ y (+ (/ (* x y) (pow (sqrt 2.0) 2)) 1.0)) in x 1.684 * [taylor]: Taking taylor expansion of (/ y (+ (/ (* x y) (pow (sqrt 2.0) 2)) 1.0)) in x 1.693 * [taylor]: Taking taylor expansion of (/ y (+ (/ (* x y) (pow (sqrt 2.0) 2)) 1.0)) in x 1.714 * [taylor]: Taking taylor expansion of (/ y (+ (/ (* x y) (pow (sqrt 2.0) 2)) 1.0)) in x 1.739 * [taylor]: Taking taylor expansion of (/ y (+ (/ (* x y) (pow (sqrt 2.0) 2)) 1.0)) in x 1.755 * [approximate]: Approximating (/ 1 (* (+ (/ 1 (* (pow (sqrt 2.0) 2) (* y x))) 1.0) y)) in (y x) around 0 1.797 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (* (pow (sqrt 2.0) 2) (* y x))) 1.0) y)) in x 1.813 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (* (pow (sqrt 2.0) 2) (* y x))) 1.0) y)) in x 1.829 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (* (pow (sqrt 2.0) 2) (* y x))) 1.0) y)) in x 1.858 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (* (pow (sqrt 2.0) 2) (* y x))) 1.0) y)) in x 1.890 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (* (pow (sqrt 2.0) 2) (* y x))) 1.0) y)) in x 1.905 * [approximate]: Approximating (/ -1 (* (+ (/ 1 (* (pow (sqrt 2.0) 2) (* y x))) 1.0) y)) in (y x) around 0 1.941 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (/ 1 (* (pow (sqrt 2.0) 2) (* y x))) 1.0) y)) in x 1.967 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (/ 1 (* (pow (sqrt 2.0) 2) (* y x))) 1.0) y)) in x 1.985 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (/ 1 (* (pow (sqrt 2.0) 2) (* y x))) 1.0) y)) in x 2.013 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (/ 1 (* (pow (sqrt 2.0) 2) (* y x))) 1.0) y)) in x 2.047 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (/ 1 (* (pow (sqrt 2.0) 2) (* y x))) 1.0) y)) in x 2.064 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2) 2.065 * [approximate]: Approximating (/ (* x y) (pow (sqrt 2.0) 2)) in (x y) around 0 2.074 * [taylor]: Taking taylor expansion of (/ (* x y) (pow (sqrt 2.0) 2)) in y 2.081 * [taylor]: Taking taylor expansion of (/ (* x y) (pow (sqrt 2.0) 2)) in y 2.088 * [taylor]: Taking taylor expansion of (/ (* x y) (pow (sqrt 2.0) 2)) in y 2.096 * [taylor]: Taking taylor expansion of (/ (* x y) (pow (sqrt 2.0) 2)) in y 2.098 * [approximate]: Approximating (/ 1 (* (pow (sqrt 2.0) 2) (* y x))) in (x y) around 0 2.119 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt 2.0) 2) (* y x))) in y 2.131 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt 2.0) 2) (* y x))) in y 2.140 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt 2.0) 2) (* y x))) in y 2.151 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt 2.0) 2) (* y x))) in y 2.157 * [approximate]: Approximating (/ 1 (* (pow (sqrt 2.0) 2) (* y x))) in (x y) around 0 2.172 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt 2.0) 2) (* y x))) in y 2.190 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt 2.0) 2) (* y x))) in y 2.199 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt 2.0) 2) (* y x))) in y 2.210 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt 2.0) 2) (* y x))) in y 2.215 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1) 2.215 * [approximate]: Approximating (/ (* x y) (sqrt 2.0)) in (x y) around 0 2.220 * [taylor]: Taking taylor expansion of (/ (* x y) (sqrt 2.0)) in y 2.224 * [taylor]: Taking taylor expansion of (/ (* x y) (sqrt 2.0)) in y 2.228 * [taylor]: Taking taylor expansion of (/ (* x y) (sqrt 2.0)) in y 2.234 * [taylor]: Taking taylor expansion of (/ (* x y) (sqrt 2.0)) in y 2.235 * [approximate]: Approximating (/ 1 (* (sqrt 2.0) (* x y))) in (x y) around 0 2.243 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt 2.0) (* x y))) in y 2.251 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt 2.0) (* x y))) in y 2.257 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt 2.0) (* x y))) in y 2.270 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt 2.0) (* x y))) in y 2.274 * [approximate]: Approximating (/ 1 (* (sqrt 2.0) (* x y))) in (x y) around 0 2.282 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt 2.0) (* x y))) in y 2.289 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt 2.0) (* x y))) in y 2.295 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt 2.0) (* x y))) in y 2.303 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt 2.0) (* x y))) in y 2.307 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 2.308 * [approximate]: Approximating (+ (/ (* x y) (pow (sqrt 2.0) 2)) 1.0) in (x y) around 0 2.317 * [taylor]: Taking taylor expansion of (+ (/ (* x y) (pow (sqrt 2.0) 2)) 1.0) in y 2.318 * [taylor]: Taking taylor expansion of (+ (/ (* x y) (pow (sqrt 2.0) 2)) 1.0) in y 2.325 * [taylor]: Taking taylor expansion of (+ (/ (* x y) (pow (sqrt 2.0) 2)) 1.0) in y 2.331 * [taylor]: Taking taylor expansion of (+ (/ (* x y) (pow (sqrt 2.0) 2)) 1.0) in y 2.345 * [taylor]: Taking taylor expansion of (+ (/ (* x y) (pow (sqrt 2.0) 2)) 1.0) in y 2.347 * [approximate]: Approximating (+ (/ 1 (* (pow (sqrt 2.0) 2) (* y x))) 1.0) in (x y) around 0 2.364 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow (sqrt 2.0) 2) (* y x))) 1.0) in y 2.376 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow (sqrt 2.0) 2) (* y x))) 1.0) in y 2.385 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow (sqrt 2.0) 2) (* y x))) 1.0) in y 2.396 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow (sqrt 2.0) 2) (* y x))) 1.0) in y 2.409 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow (sqrt 2.0) 2) (* y x))) 1.0) in y 2.411 * [approximate]: Approximating (+ (/ 1 (* (pow (sqrt 2.0) 2) (* y x))) 1.0) in (x y) around 0 2.433 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow (sqrt 2.0) 2) (* y x))) 1.0) in y 2.446 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow (sqrt 2.0) 2) (* y x))) 1.0) in y 2.455 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow (sqrt 2.0) 2) (* y x))) 1.0) in y 2.466 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow (sqrt 2.0) 2) (* y x))) 1.0) in y 2.481 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow (sqrt 2.0) 2) (* y x))) 1.0) in y 2.484 * * * [progress]: simplifying candidates 2.489 * [simplify]: Simplifying using # : (- (log y) (log (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))))) (log (/ y (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))))) (exp (/ y (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))))) (/ (* (* y y) y) (* (* (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))) (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)))) (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))))) (* (cbrt (/ y (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))))) (cbrt (/ y (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)))))) (cbrt (/ y (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))))) (* (* (/ y (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)))) (/ y (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))))) (/ y (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))))) (sqrt (/ y (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))))) (sqrt (/ y (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))))) (neg y) (neg (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)))) (cbrt (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)))))) (/ (cbrt y) (cbrt (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))))) (/ (* (cbrt y) (cbrt y)) (sqrt (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))))) (/ (cbrt y) (sqrt (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))))) (/ (* (cbrt y) (cbrt y)) 1) (/ (cbrt y) (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)))) (/ (* (cbrt y) (cbrt y)) 1) (/ (cbrt y) (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)))) (/ (sqrt y) (* (cbrt (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)))) (cbrt (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)))))) (/ (sqrt y) (cbrt (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))))) (/ (sqrt y) (sqrt (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))))) (/ (sqrt y) (sqrt (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))))) (/ (sqrt y) 1) (/ (sqrt y) (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)))) (/ (sqrt y) 1) (/ (sqrt y) (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)))) (/ 1 (* (cbrt (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)))) (cbrt (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)))))) (/ y (cbrt (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))))) (/ 1 (sqrt (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))))) (/ y (sqrt (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))))) (/ 1 1) (/ y (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)))) (/ 1 1) (/ y (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)))) (/ 1 (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)))) (/ (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))) y) (/ y (* (cbrt (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)))) (cbrt (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)))))) (/ y (sqrt (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))))) (/ y 1) (/ y 1) (/ (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))) (cbrt y)) (/ (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))) (sqrt y)) (/ (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))) y) (/ y (+ (pow 1.0 3) (pow (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)) 3))) (/ y (- (* 1.0 1.0) (* (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)) (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))))) (- (- (+ (log x) (log y)) (log (sqrt 2.0))) (log (sqrt 2.0))) (- (- (log (* x y)) (log (sqrt 2.0))) (log (sqrt 2.0))) (- (log (/ (* x y) (sqrt 2.0))) (log (sqrt 2.0))) (log (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))) (exp (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))) (/ (/ (* (* (* x x) x) (* (* y y) y)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (/ (/ (* (* (* x y) (* x y)) (* x y)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (/ (* (* (/ (* x y) (sqrt 2.0)) (/ (* x y) (sqrt 2.0))) (/ (* x y) (sqrt 2.0))) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (cbrt (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))) (cbrt (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)))) (cbrt (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))) (* (* (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)) (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))) (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))) (sqrt (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))) (sqrt (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))) (neg (/ (* x y) (sqrt 2.0))) (neg (sqrt 2.0)) (/ (* (cbrt (/ (* x y) (sqrt 2.0))) (cbrt (/ (* x y) (sqrt 2.0)))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cbrt (/ (* x y) (sqrt 2.0))) (cbrt (sqrt 2.0))) (/ (* (cbrt (/ (* x y) (sqrt 2.0))) (cbrt (/ (* x y) (sqrt 2.0)))) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (cbrt (/ (* x y) (sqrt 2.0))) (sqrt (cbrt 2.0))) (/ (* (cbrt (/ (* x y) (sqrt 2.0))) (cbrt (/ (* x y) (sqrt 2.0)))) (sqrt (sqrt 2.0))) (/ (cbrt (/ (* x y) (sqrt 2.0))) (sqrt (sqrt 2.0))) (/ (* (cbrt (/ (* x y) (sqrt 2.0))) (cbrt (/ (* x y) (sqrt 2.0)))) (sqrt 1)) (/ (cbrt (/ (* x y) (sqrt 2.0))) (sqrt 2.0)) (/ (* (cbrt (/ (* x y) (sqrt 2.0))) (cbrt (/ (* x y) (sqrt 2.0)))) (sqrt (sqrt 2.0))) (/ (cbrt (/ (* x y) (sqrt 2.0))) (sqrt (sqrt 2.0))) (/ (* (cbrt (/ (* x y) (sqrt 2.0))) (cbrt (/ (* x y) (sqrt 2.0)))) 1) (/ (cbrt (/ (* x y) (sqrt 2.0))) (sqrt 2.0)) (/ (sqrt (/ (* x y) (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt (/ (* x y) (sqrt 2.0))) (cbrt (sqrt 2.0))) (/ (sqrt (/ (* x y) (sqrt 2.0))) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (sqrt (/ (* x y) (sqrt 2.0))) (sqrt (cbrt 2.0))) (/ (sqrt (/ (* x y) (sqrt 2.0))) (sqrt (sqrt 2.0))) (/ (sqrt (/ (* x y) (sqrt 2.0))) (sqrt (sqrt 2.0))) (/ (sqrt (/ (* x y) (sqrt 2.0))) (sqrt 1)) (/ (sqrt (/ (* x y) (sqrt 2.0))) (sqrt 2.0)) (/ (sqrt (/ (* x y) (sqrt 2.0))) (sqrt (sqrt 2.0))) (/ (sqrt (/ (* x y) (sqrt 2.0))) (sqrt (sqrt 2.0))) (/ (sqrt (/ (* x y) (sqrt 2.0))) 1) (/ (sqrt (/ (* x y) (sqrt 2.0))) (sqrt 2.0)) (/ (/ x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ y (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0))) (/ (/ x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (/ y (cbrt (sqrt 2.0))) (sqrt (cbrt 2.0))) (/ (/ x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (/ (/ y (cbrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (/ (/ x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (sqrt 1)) (/ (/ y (cbrt (sqrt 2.0))) (sqrt 2.0)) (/ (/ x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (/ (/ y (cbrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (/ (/ x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) 1) (/ (/ y (cbrt (sqrt 2.0))) (sqrt 2.0)) (/ (/ x (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ y (sqrt (cbrt 2.0))) (cbrt (sqrt 2.0))) (/ (/ x (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (/ y (sqrt (cbrt 2.0))) (sqrt (cbrt 2.0))) (/ (/ x (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (sqrt (sqrt 2.0))) (/ (/ y (sqrt (cbrt 2.0))) (sqrt (sqrt 2.0))) (/ (/ x (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (sqrt 1)) (/ (/ y (sqrt (cbrt 2.0))) (sqrt 2.0)) (/ (/ x (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (sqrt (sqrt 2.0))) (/ (/ y (sqrt (cbrt 2.0))) (sqrt (sqrt 2.0))) (/ (/ x (sqrt (* (cbrt 2.0) (cbrt 2.0)))) 1) (/ (/ y (sqrt (cbrt 2.0))) (sqrt 2.0)) (/ (/ x (sqrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ y (sqrt (sqrt 2.0))) (cbrt (sqrt 2.0))) (/ (/ x (sqrt (sqrt 2.0))) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (/ y (sqrt (sqrt 2.0))) (sqrt (cbrt 2.0))) (/ (/ x (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (/ (/ y (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (/ (/ x (sqrt (sqrt 2.0))) (sqrt 1)) (/ (/ y (sqrt (sqrt 2.0))) (sqrt 2.0)) (/ (/ x (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (/ (/ y (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (/ (/ x (sqrt (sqrt 2.0))) 1) (/ (/ y (sqrt (sqrt 2.0))) (sqrt 2.0)) (/ (/ x (sqrt 1)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ y (sqrt 2.0)) (cbrt (sqrt 2.0))) (/ (/ x (sqrt 1)) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (/ y (sqrt 2.0)) (sqrt (cbrt 2.0))) (/ (/ x (sqrt 1)) (sqrt (sqrt 2.0))) (/ (/ y (sqrt 2.0)) (sqrt (sqrt 2.0))) (/ (/ x (sqrt 1)) (sqrt 1)) (/ (/ y (sqrt 2.0)) (sqrt 2.0)) (/ (/ x (sqrt 1)) (sqrt (sqrt 2.0))) (/ (/ y (sqrt 2.0)) (sqrt (sqrt 2.0))) (/ (/ x (sqrt 1)) 1) (/ (/ y (sqrt 2.0)) (sqrt 2.0)) (/ (/ x (sqrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ y (sqrt (sqrt 2.0))) (cbrt (sqrt 2.0))) (/ (/ x (sqrt (sqrt 2.0))) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (/ y (sqrt (sqrt 2.0))) (sqrt (cbrt 2.0))) (/ (/ x (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (/ (/ y (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (/ (/ x (sqrt (sqrt 2.0))) (sqrt 1)) (/ (/ y (sqrt (sqrt 2.0))) (sqrt 2.0)) (/ (/ x (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (/ (/ y (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (/ (/ x (sqrt (sqrt 2.0))) 1) (/ (/ y (sqrt (sqrt 2.0))) (sqrt 2.0)) (/ (/ x 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ y (sqrt 2.0)) (cbrt (sqrt 2.0))) (/ (/ x 1) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (/ y (sqrt 2.0)) (sqrt (cbrt 2.0))) (/ (/ x 1) (sqrt (sqrt 2.0))) (/ (/ y (sqrt 2.0)) (sqrt (sqrt 2.0))) (/ (/ x 1) (sqrt 1)) (/ (/ y (sqrt 2.0)) (sqrt 2.0)) (/ (/ x 1) (sqrt (sqrt 2.0))) (/ (/ y (sqrt 2.0)) (sqrt (sqrt 2.0))) (/ (/ x 1) 1) (/ (/ y (sqrt 2.0)) (sqrt 2.0)) (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ (* x y) (sqrt 2.0)) (cbrt (sqrt 2.0))) (/ 1 (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (/ (* x y) (sqrt 2.0)) (sqrt (cbrt 2.0))) (/ 1 (sqrt (sqrt 2.0))) (/ (/ (* x y) (sqrt 2.0)) (sqrt (sqrt 2.0))) (/ 1 (sqrt 1)) (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)) (/ 1 (sqrt (sqrt 2.0))) (/ (/ (* x y) (sqrt 2.0)) (sqrt (sqrt 2.0))) (/ 1 1) (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)) (/ (* x y) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt 2.0)) (cbrt (sqrt 2.0))) (/ (* x y) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (/ 1 (sqrt 2.0)) (sqrt (cbrt 2.0))) (/ (* x y) (sqrt (sqrt 2.0))) (/ (/ 1 (sqrt 2.0)) (sqrt (sqrt 2.0))) (/ (* x y) (sqrt 1)) (/ (/ 1 (sqrt 2.0)) (sqrt 2.0)) (/ (* x y) (sqrt (sqrt 2.0))) (/ (/ 1 (sqrt 2.0)) (sqrt (sqrt 2.0))) (/ (* x y) 1) (/ (/ 1 (sqrt 2.0)) (sqrt 2.0)) (/ 1 (sqrt 2.0)) (/ (sqrt 2.0) (/ (* x y) (sqrt 2.0))) (/ (/ (* x y) (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ (* x y) (sqrt 2.0)) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (/ (* x y) (sqrt 2.0)) (sqrt (sqrt 2.0))) (/ (/ (* x y) (sqrt 2.0)) (sqrt 1)) (/ (/ (* x y) (sqrt 2.0)) (sqrt (sqrt 2.0))) (/ (/ (* x y) (sqrt 2.0)) 1) (/ (sqrt 2.0) (cbrt (/ (* x y) (sqrt 2.0)))) (/ (sqrt 2.0) (sqrt (/ (* x y) (sqrt 2.0)))) (/ (sqrt 2.0) (/ y (cbrt (sqrt 2.0)))) (/ (sqrt 2.0) (/ y (sqrt (cbrt 2.0)))) (/ (sqrt 2.0) (/ y (sqrt (sqrt 2.0)))) (/ (sqrt 2.0) (/ y (sqrt 2.0))) (/ (sqrt 2.0) (/ y (sqrt (sqrt 2.0)))) (/ (sqrt 2.0) (/ y (sqrt 2.0))) (/ (sqrt 2.0) (/ (* x y) (sqrt 2.0))) (/ (sqrt 2.0) (/ 1 (sqrt 2.0))) (* (sqrt 2.0) (sqrt 2.0)) (- (+ (log x) (log y)) (log (sqrt 2.0))) (- (log (* x y)) (log (sqrt 2.0))) (log (/ (* x y) (sqrt 2.0))) (exp (/ (* x y) (sqrt 2.0))) (/ (* (* (* x x) x) (* (* y y) y)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (/ (* (* (* x y) (* x y)) (* x y)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (cbrt (/ (* x y) (sqrt 2.0))) (cbrt (/ (* x y) (sqrt 2.0)))) (cbrt (/ (* x y) (sqrt 2.0))) (* (* (/ (* x y) (sqrt 2.0)) (/ (* x y) (sqrt 2.0))) (/ (* x y) (sqrt 2.0))) (sqrt (/ (* x y) (sqrt 2.0))) (sqrt (/ (* x y) (sqrt 2.0))) (neg (* x y)) (neg (sqrt 2.0)) (/ x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ y (cbrt (sqrt 2.0))) (/ x (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ y (sqrt (cbrt 2.0))) (/ x (sqrt (sqrt 2.0))) (/ y (sqrt (sqrt 2.0))) (/ x (sqrt 1)) (/ y (sqrt 2.0)) (/ x (sqrt (sqrt 2.0))) (/ y (sqrt (sqrt 2.0))) (/ x 1) (/ y (sqrt 2.0)) (/ 1 (sqrt 2.0)) (/ (sqrt 2.0) (* x y)) (/ (* x y) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (* x y) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (* x y) (sqrt (sqrt 2.0))) (/ (* x y) (sqrt 1)) (/ (* x y) (sqrt (sqrt 2.0))) (/ (* x y) 1) (/ (sqrt 2.0) y) (* (exp 1.0) (exp (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)))) (log (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)))) (exp (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)))) (* (cbrt (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)))) (cbrt (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))))) (cbrt (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)))) (* (* (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))) (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)))) (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)))) (sqrt (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)))) (sqrt (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)))) (+ (pow 1.0 3) (pow (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)) 3)) (+ (* 1.0 1.0) (- (* (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)) (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))) (* 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))))) (- (* 1.0 1.0) (* (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)) (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)))) (- 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))) (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))) (- (+ (* 1.0 y) (* 1.0 (/ (* (pow x 2) (pow y 3)) (pow (sqrt 2.0) 4)))) (* 1.0 (/ (* x (pow y 2)) (pow (sqrt 2.0) 2)))) (- (+ (* 1.0 (/ (pow (sqrt 2.0) 6) (* (pow y 2) (pow x 3)))) (/ (pow (sqrt 2.0) 2) x)) (* 1.0 (/ (pow (sqrt 2.0) 4) (* y (pow x 2))))) (- (+ (* 1.0 (/ (pow (sqrt 2.0) 6) (* (pow y 2) (pow x 3)))) (/ (pow (sqrt 2.0) 2) x)) (* 1.0 (/ (pow (sqrt 2.0) 4) (* y (pow x 2))))) (/ (* y x) (pow (sqrt 2.0) 2)) (/ (* y x) (pow (sqrt 2.0) 2)) (/ (* y x) (pow (sqrt 2.0) 2)) (/ (* y x) (sqrt 2.0)) (/ (* y x) (sqrt 2.0)) (/ (* y x) (sqrt 2.0)) (+ (/ (* x y) (pow (sqrt 2.0) 2)) 1.0) (+ (/ (* x y) (pow (sqrt 2.0) 2)) 1.0) (+ (/ (* x y) (pow (sqrt 2.0) 2)) 1.0) 2.502 * * [simplify]: iteration 0 : 604 enodes (cost 1584 ) 2.518 * * [simplify]: iteration 1 : 2796 enodes (cost 1336 ) 2.561 * * [simplify]: iteration 2 : 5001 enodes (cost 1328 ) 2.569 * [simplify]: Simplified to: (- (log y) (log (+ 1.0 (/ x (/ 2.0 y))))) (- (log y) (log (+ 1.0 (/ x (/ 2.0 y))))) (exp (/ y (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))))) (/ (pow y 3) (pow (+ 1.0 (/ x (/ 2.0 y))) 3)) (* (cbrt (/ y (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))))) (cbrt (/ y (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)))))) (cbrt (/ y (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))))) (/ (pow y 3) (pow (+ 1.0 (/ x (/ 2.0 y))) 3)) (sqrt (/ y (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))))) (sqrt (/ y (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))))) (neg y) (neg (+ 1.0 (/ x (/ 2.0 y)))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)))) (cbrt (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)))))) (/ (cbrt y) (cbrt (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))))) (/ (* (cbrt y) (cbrt y)) (sqrt (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))))) (/ (cbrt y) (sqrt (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))))) (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)))) (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)))) (/ (sqrt y) (* (cbrt (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)))) (cbrt (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)))))) (/ (sqrt y) (cbrt (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))))) (/ (sqrt y) (sqrt (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))))) (/ (sqrt y) (sqrt (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))))) (sqrt y) (/ (sqrt y) (+ 1.0 (/ x (/ 2.0 y)))) (sqrt y) (/ (sqrt y) (+ 1.0 (/ x (/ 2.0 y)))) (/ 1 (* (cbrt (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)))) (cbrt (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)))))) (/ y (cbrt (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))))) (/ 1 (sqrt (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))))) (/ y (sqrt (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))))) 1 (/ y (+ 1.0 (/ x (/ 2.0 y)))) 1 (/ y (+ 1.0 (/ x (/ 2.0 y)))) (/ 1 (+ 1.0 (/ x (/ 2.0 y)))) (/ (+ 1.0 (/ x (/ 2.0 y))) y) (/ y (* (cbrt (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)))) (cbrt (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)))))) (/ y (sqrt (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))))) y y (/ (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))) (cbrt y)) (/ (+ 1.0 (/ x (/ 2.0 y))) (sqrt y)) (/ (+ 1.0 (/ x (/ 2.0 y))) y) (/ y (+ (pow 1.0 3) (pow (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)) 3))) (/ y (* (+ 1.0 (/ x (/ 2.0 y))) (- 1.0 (/ x (/ 2.0 y))))) (- (log x) (log (/ 2.0 y))) (- (log x) (log (/ 2.0 y))) (- (log x) (log (/ 2.0 y))) (- (log x) (log (/ 2.0 y))) (exp (/ x (/ 2.0 y))) (pow (/ x (/ 2.0 y)) 3) (pow (/ x (/ 2.0 y)) 3) (pow (/ x (/ 2.0 y)) 3) (* (cbrt (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))) (cbrt (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)))) (cbrt (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))) (pow (/ x (/ 2.0 y)) 3) (sqrt (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))) (sqrt (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))) (neg (/ (* x y) (sqrt 2.0))) (neg (sqrt 2.0)) (/ (* (cbrt (/ (* x y) (sqrt 2.0))) (cbrt (/ (* x y) (sqrt 2.0)))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cbrt (/ (* x y) (sqrt 2.0))) (cbrt (sqrt 2.0))) (/ (cbrt (/ (* x y) (sqrt 2.0))) (/ (fabs (cbrt 2.0)) (cbrt (/ (* x y) (sqrt 2.0))))) (/ (cbrt (/ (* x y) (sqrt 2.0))) (sqrt (cbrt 2.0))) (/ (* (cbrt (/ (* x y) (sqrt 2.0))) (cbrt (/ (* x y) (sqrt 2.0)))) (sqrt (sqrt 2.0))) (/ (cbrt (/ (* x y) (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (cbrt (/ (* x y) (sqrt 2.0))) (cbrt (/ (* x y) (sqrt 2.0)))) (/ (cbrt (/ (* x y) (sqrt 2.0))) (sqrt 2.0)) (/ (* (cbrt (/ (* x y) (sqrt 2.0))) (cbrt (/ (* x y) (sqrt 2.0)))) (sqrt (sqrt 2.0))) (/ (cbrt (/ (* x y) (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (cbrt (/ (* x y) (sqrt 2.0))) (cbrt (/ (* x y) (sqrt 2.0)))) (/ (cbrt (/ (* x y) (sqrt 2.0))) (sqrt 2.0)) (/ (sqrt (/ (* x y) (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt (/ (* x y) (sqrt 2.0))) (cbrt (sqrt 2.0))) (/ (sqrt (/ (* x y) (sqrt 2.0))) (fabs (cbrt 2.0))) (/ (sqrt (/ (* x y) (sqrt 2.0))) (sqrt (cbrt 2.0))) (/ (sqrt (/ (* x y) (sqrt 2.0))) (sqrt (sqrt 2.0))) (/ (sqrt (/ (* x y) (sqrt 2.0))) (sqrt (sqrt 2.0))) (sqrt (/ (* x y) (sqrt 2.0))) (/ (sqrt (/ (* x y) (sqrt 2.0))) (sqrt 2.0)) (/ (sqrt (/ (* x y) (sqrt 2.0))) (sqrt (sqrt 2.0))) (/ (sqrt (/ (* x y) (sqrt 2.0))) (sqrt (sqrt 2.0))) (sqrt (/ (* x y) (sqrt 2.0))) (/ (sqrt (/ (* x y) (sqrt 2.0))) (sqrt 2.0)) (* (/ x (cbrt (sqrt 2.0))) (/ 1 (pow (cbrt (sqrt 2.0)) 3))) (/ (/ y (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0))) (/ x (* (fabs (cbrt 2.0)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (/ y (sqrt (cbrt 2.0))) (cbrt (sqrt 2.0))) (/ (/ x (sqrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ y (sqrt (sqrt 2.0))) (cbrt (sqrt 2.0))) (/ x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ y (sqrt 2.0)) (cbrt (sqrt 2.0))) (/ (/ x (sqrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ y (sqrt (sqrt 2.0))) (cbrt (sqrt 2.0))) (/ x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ y (sqrt 2.0)) (cbrt (sqrt 2.0))) (/ x (* (fabs (cbrt 2.0)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (/ y (sqrt (cbrt 2.0))) (cbrt (sqrt 2.0))) (/ x (* (cbrt 2.0) (cbrt 2.0))) (/ y (cbrt 2.0)) (/ x (* (sqrt (sqrt 2.0)) (fabs (cbrt 2.0)))) (/ (/ y (sqrt (sqrt 2.0))) (sqrt (cbrt 2.0))) (/ x (* 1 (fabs (cbrt 2.0)))) (/ (/ y (sqrt 2.0)) (sqrt (cbrt 2.0))) (/ x (* (sqrt (sqrt 2.0)) (fabs (cbrt 2.0)))) (/ (/ y (sqrt (sqrt 2.0))) (sqrt (cbrt 2.0))) (/ x (* 1 (fabs (cbrt 2.0)))) (/ (/ y (sqrt 2.0)) (sqrt (cbrt 2.0))) (/ (/ x (sqrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ y (sqrt (sqrt 2.0))) (cbrt (sqrt 2.0))) (/ x (* (sqrt (sqrt 2.0)) (fabs (cbrt 2.0)))) (/ (/ y (sqrt (sqrt 2.0))) (sqrt (cbrt 2.0))) (/ x (sqrt 2.0)) (/ y (sqrt 2.0)) (/ x (sqrt (sqrt 2.0))) (/ (/ y (sqrt 2.0)) (sqrt (sqrt 2.0))) (/ x (sqrt 2.0)) (/ y (sqrt 2.0)) (/ x (sqrt (sqrt 2.0))) (/ (/ y (sqrt 2.0)) (sqrt (sqrt 2.0))) (/ x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ y (sqrt 2.0)) (cbrt (sqrt 2.0))) (/ x (* 1 (fabs (cbrt 2.0)))) (/ (/ y (sqrt 2.0)) (sqrt (cbrt 2.0))) (/ x (sqrt (sqrt 2.0))) (/ (/ y (sqrt 2.0)) (sqrt (sqrt 2.0))) x (/ y 2.0) (/ x (sqrt (sqrt 2.0))) (/ (/ y (sqrt 2.0)) (sqrt (sqrt 2.0))) x (/ y 2.0) (/ (/ x (sqrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ y (sqrt (sqrt 2.0))) (cbrt (sqrt 2.0))) (/ x (* (sqrt (sqrt 2.0)) (fabs (cbrt 2.0)))) (/ (/ y (sqrt (sqrt 2.0))) (sqrt (cbrt 2.0))) (/ x (sqrt 2.0)) (/ y (sqrt 2.0)) (/ x (sqrt (sqrt 2.0))) (/ (/ y (sqrt 2.0)) (sqrt (sqrt 2.0))) (/ x (sqrt 2.0)) (/ y (sqrt 2.0)) (/ x (sqrt (sqrt 2.0))) (/ (/ y (sqrt 2.0)) (sqrt (sqrt 2.0))) (/ x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ y (sqrt 2.0)) (cbrt (sqrt 2.0))) (/ x (* 1 (fabs (cbrt 2.0)))) (/ (/ y (sqrt 2.0)) (sqrt (cbrt 2.0))) (/ x (sqrt (sqrt 2.0))) (/ (/ y (sqrt 2.0)) (sqrt (sqrt 2.0))) x (/ y 2.0) (/ x (sqrt (sqrt 2.0))) (/ (/ y (sqrt 2.0)) (sqrt (sqrt 2.0))) x (/ y 2.0) (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ (* x y) (sqrt 2.0)) (cbrt (sqrt 2.0))) (/ 2 (* (fabs (cbrt 2.0)) 2)) (/ (/ (* x y) (sqrt 2.0)) (sqrt (cbrt 2.0))) (/ 1 (sqrt (sqrt 2.0))) (/ (/ (* x y) (sqrt 2.0)) (sqrt (sqrt 2.0))) 1 (/ x (/ 2.0 y)) (/ 1 (sqrt (sqrt 2.0))) (/ (/ (* x y) (sqrt 2.0)) (sqrt (sqrt 2.0))) 1 (/ x (/ 2.0 y)) (/ (* x y) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt 2.0)) (cbrt (sqrt 2.0))) (/ x (/ (fabs (cbrt 2.0)) y)) (/ (/ 1 (sqrt 2.0)) (sqrt (cbrt 2.0))) (/ (* x y) (sqrt (sqrt 2.0))) (/ (/ 1 (sqrt 2.0)) (sqrt (sqrt 2.0))) (* x y) (/ 1 2.0) (/ (* x y) (sqrt (sqrt 2.0))) (/ (/ 1 (sqrt 2.0)) (sqrt (sqrt 2.0))) (* x y) (/ 1 2.0) (/ 1 (sqrt 2.0)) (/ 2.0 (* x y)) (/ (/ (* x y) (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (* x y) (* (fabs (cbrt 2.0)) (sqrt 2.0))) (/ (/ (* x y) (sqrt 2.0)) (sqrt (sqrt 2.0))) (/ (* x y) (sqrt 2.0)) (/ (/ (* x y) (sqrt 2.0)) (sqrt (sqrt 2.0))) (/ (* x y) (sqrt 2.0)) (/ (sqrt 2.0) (cbrt (/ (* x y) (sqrt 2.0)))) (/ (sqrt 2.0) (sqrt (/ (* x y) (sqrt 2.0)))) (/ (sqrt 2.0) (/ y (cbrt (sqrt 2.0)))) (/ (sqrt 2.0) (/ y (sqrt (cbrt 2.0)))) (/ (sqrt 2.0) (/ y (sqrt (sqrt 2.0)))) (/ 2.0 y) (/ (sqrt 2.0) (/ y (sqrt (sqrt 2.0)))) (/ 2.0 y) (/ 2.0 (* x y)) 2.0 2.0 (log (/ (* x y) (sqrt 2.0))) (log (/ (* x y) (sqrt 2.0))) (log (/ (* x y) (sqrt 2.0))) (exp (/ (* x y) (sqrt 2.0))) (pow (/ (* x y) (sqrt 2.0)) 3) (pow (/ (* x y) (sqrt 2.0)) 3) (* (cbrt (/ (* x y) (sqrt 2.0))) (cbrt (/ (* x y) (sqrt 2.0)))) (cbrt (/ (* x y) (sqrt 2.0))) (pow (/ (* x y) (sqrt 2.0)) 3) (sqrt (/ (* x y) (sqrt 2.0))) (sqrt (/ (* x y) (sqrt 2.0))) (neg (* x y)) (neg (sqrt 2.0)) (/ x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ y (cbrt (sqrt 2.0))) (/ x (* 1 (fabs (cbrt 2.0)))) (/ y (sqrt (cbrt 2.0))) (/ x (sqrt (sqrt 2.0))) (/ y (sqrt (sqrt 2.0))) x (/ y (sqrt 2.0)) (/ x (sqrt (sqrt 2.0))) (/ y (sqrt (sqrt 2.0))) x (/ y (sqrt 2.0)) (/ 1 (sqrt 2.0)) (/ (sqrt 2.0) (* x y)) (/ (* x y) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ x (/ (fabs (cbrt 2.0)) y)) (/ (* x y) (sqrt (sqrt 2.0))) (* x y) (/ (* x y) (sqrt (sqrt 2.0))) (* x y) (/ (sqrt 2.0) y) (exp (+ 1.0 (/ x (/ 2.0 y)))) (log (+ 1.0 (/ x (/ 2.0 y)))) (exp (+ 1.0 (/ x (/ 2.0 y)))) (* (cbrt (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)))) (cbrt (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))))) (cbrt (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)))) (pow (+ 1.0 (/ x (/ 2.0 y))) 3) (sqrt (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)))) (sqrt (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)))) (+ (pow 1.0 3) (pow (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)) 3)) (+ (* (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)) (- (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)) 1.0)) (* 1.0 1.0)) (* (+ 1.0 (/ x (/ 2.0 y))) (- 1.0 (/ x (/ 2.0 y)))) (- 1.0 (/ x (/ 2.0 y))) (+ 1.0 (/ x (/ 2.0 y))) (* 1.0 (- (+ y (/ (* (pow x 2) (pow y 3)) (pow (sqrt 2.0) 4))) (/ x (/ 2.0 (pow y 2))))) (- (+ (* 1.0 (/ (pow (sqrt 2.0) 6) (* (pow y 2) (pow x 3)))) (/ (pow (sqrt 2.0) 2) x)) (* 1.0 (/ (pow (sqrt 2.0) 4) (* y (pow x 2))))) (- (+ (* 1.0 (/ (pow (sqrt 2.0) 6) (* (pow y 2) (pow x 3)))) (/ (pow (sqrt 2.0) 2) x)) (* 1.0 (/ (pow (sqrt 2.0) 4) (* y (pow x 2))))) (/ x (/ 2.0 y)) (/ x (/ 2.0 y)) (/ x (/ 2.0 y)) (/ (* x y) (sqrt 2.0)) (/ (* x y) (sqrt 2.0)) (/ (* x y) (sqrt 2.0)) (+ 1.0 (/ x (/ 2.0 y))) (+ 1.0 (/ x (/ 2.0 y))) (+ 1.0 (/ x (/ 2.0 y))) 2.571 * * * [progress]: adding candidates to table 3.964 * * [progress]: iteration 4 / 4 3.964 * * * [progress]: picking best candidate 3.972 * * * * [pick]: Picked # 3.972 * * * [progress]: localizing error 3.983 * * * [progress]: generating rewritten candidates 3.983 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 3.998 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 4.004 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 4.011 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 4.021 * * * [progress]: generating series expansions 4.021 * * * * [progress]: [ 1 / 4 ] generating series at (2) 4.021 * [approximate]: Approximating (/ (- (pow x 2) (/ (pow y 2) (pow (+ (* 0.5 (* x y)) 1.0) 2))) (+ x (/ y (+ (* 0.5 (* x y)) 1.0)))) in (x y) around 0 4.029 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (/ (pow y 2) (pow (+ (* 0.5 (* x y)) 1.0) 2))) (+ x (/ y (+ (* 0.5 (* x y)) 1.0)))) in y 4.033 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (/ (pow y 2) (pow (+ (* 0.5 (* x y)) 1.0) 2))) (+ x (/ y (+ (* 0.5 (* x y)) 1.0)))) in y 4.042 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (/ (pow y 2) (pow (+ (* 0.5 (* x y)) 1.0) 2))) (+ x (/ y (+ (* 0.5 (* x y)) 1.0)))) in y 4.055 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (/ (pow y 2) (pow (+ (* 0.5 (* x y)) 1.0) 2))) (+ x (/ y (+ (* 0.5 (* x y)) 1.0)))) in y 4.058 * [approximate]: Approximating (/ (- (/ 1 (pow x 2)) (/ 1 (* (pow (+ (* 0.5 (/ 1 (* x y))) 1.0) 2) (pow y 2)))) (+ (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) (/ 1 x))) in (x y) around 0 4.070 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (* (pow (+ (* 0.5 (/ 1 (* x y))) 1.0) 2) (pow y 2)))) (+ (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) (/ 1 x))) in y 4.072 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (* (pow (+ (* 0.5 (/ 1 (* x y))) 1.0) 2) (pow y 2)))) (+ (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) (/ 1 x))) in y 4.078 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (* (pow (+ (* 0.5 (/ 1 (* x y))) 1.0) 2) (pow y 2)))) (+ (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) (/ 1 x))) in y 4.084 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (* (pow (+ (* 0.5 (/ 1 (* x y))) 1.0) 2) (pow y 2)))) (+ (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) (/ 1 x))) in y 4.085 * [approximate]: Approximating (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (* (pow (+ (* 0.5 (/ 1 (* x y))) 1.0) 2) (pow y 2)))) (+ (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) (/ 1 x)))) in (x y) around 0 4.097 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (* (pow (+ (* 0.5 (/ 1 (* x y))) 1.0) 2) (pow y 2)))) (+ (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) (/ 1 x)))) in y 4.100 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (* (pow (+ (* 0.5 (/ 1 (* x y))) 1.0) 2) (pow y 2)))) (+ (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) (/ 1 x)))) in y 4.107 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (* (pow (+ (* 0.5 (/ 1 (* x y))) 1.0) 2) (pow y 2)))) (+ (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) (/ 1 x)))) in y 4.113 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (* (pow (+ (* 0.5 (/ 1 (* x y))) 1.0) 2) (pow y 2)))) (+ (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) (/ 1 x)))) in y 4.114 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 4.114 * [approximate]: Approximating (/ y (+ (* 0.5 (* x y)) 1.0)) in (y x) around 0 4.117 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in x 4.121 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in x 4.124 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in x 4.129 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in x 4.134 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in x 4.135 * [approximate]: Approximating (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (y x) around 0 4.141 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 4.145 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 4.149 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 4.154 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 4.161 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 4.163 * [approximate]: Approximating (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (y x) around 0 4.168 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 4.173 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 4.177 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 4.182 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 4.188 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 4.191 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 4.191 * [approximate]: Approximating (/ y (+ (* 0.5 (* x y)) 1.0)) in (y x) around 0 4.194 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in x 4.198 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in x 4.201 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in x 4.206 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in x 4.211 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in x 4.212 * [approximate]: Approximating (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (y x) around 0 4.218 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 4.222 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 4.227 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 4.233 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 4.241 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 4.243 * [approximate]: Approximating (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (y x) around 0 4.248 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 4.252 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 4.256 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 4.261 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 4.268 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 4.270 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 4.270 * [approximate]: Approximating (/ y (+ (* 0.5 (* x y)) 1.0)) in (y x) around 0 4.276 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in x 4.278 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in x 4.281 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in x 4.286 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in x 4.291 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in x 4.293 * [approximate]: Approximating (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (y x) around 0 4.298 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 4.302 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 4.306 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 4.312 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 4.319 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 4.320 * [approximate]: Approximating (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (y x) around 0 4.326 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 4.330 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 4.334 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 4.340 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 4.346 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 4.349 * * * [progress]: simplifying candidates 4.353 * [simplify]: Simplifying using # : (- (log (- (* x x) (* (/ y (+ 1.0 (/ (* x y) 2.0))) (/ y (+ 1.0 (/ (* x y) 2.0)))))) (log (+ x (/ y (+ 1.0 (/ (* x y) 2.0)))))) (log (/ (- (* x x) (* (/ y (+ 1.0 (/ (* x y) 2.0))) (/ y (+ 1.0 (/ (* x y) 2.0))))) (+ x (/ y (+ 1.0 (/ (* x y) 2.0)))))) (exp (/ (- (* x x) (* (/ y (+ 1.0 (/ (* x y) 2.0))) (/ y (+ 1.0 (/ (* x y) 2.0))))) (+ x (/ y (+ 1.0 (/ (* x y) 2.0)))))) (/ (* (* (- (* x x) (* (/ y (+ 1.0 (/ (* x y) 2.0))) (/ y (+ 1.0 (/ (* x y) 2.0))))) (- (* x x) (* (/ y (+ 1.0 (/ (* x y) 2.0))) (/ y (+ 1.0 (/ (* x y) 2.0)))))) (- (* x x) (* (/ y (+ 1.0 (/ (* x y) 2.0))) (/ y (+ 1.0 (/ (* x y) 2.0)))))) (* (* (+ x (/ y (+ 1.0 (/ (* x y) 2.0)))) (+ x (/ y (+ 1.0 (/ (* x y) 2.0))))) (+ x (/ y (+ 1.0 (/ (* x y) 2.0)))))) (* (cbrt (/ (- (* x x) (* (/ y (+ 1.0 (/ (* x y) 2.0))) (/ y (+ 1.0 (/ (* x y) 2.0))))) (+ x (/ y (+ 1.0 (/ (* x y) 2.0)))))) (cbrt (/ (- (* x x) (* (/ y (+ 1.0 (/ (* x y) 2.0))) (/ y (+ 1.0 (/ (* x y) 2.0))))) (+ x (/ y (+ 1.0 (/ (* x y) 2.0))))))) (cbrt (/ (- (* x x) (* (/ y (+ 1.0 (/ (* x y) 2.0))) (/ y (+ 1.0 (/ (* x y) 2.0))))) (+ x (/ y (+ 1.0 (/ (* x y) 2.0)))))) (* (* (/ (- (* x x) (* (/ y (+ 1.0 (/ (* x y) 2.0))) (/ y (+ 1.0 (/ (* x y) 2.0))))) (+ x (/ y (+ 1.0 (/ (* x y) 2.0))))) (/ (- (* x x) (* (/ y (+ 1.0 (/ (* x y) 2.0))) (/ y (+ 1.0 (/ (* x y) 2.0))))) (+ x (/ y (+ 1.0 (/ (* x y) 2.0)))))) (/ (- (* x x) (* (/ y (+ 1.0 (/ (* x y) 2.0))) (/ y (+ 1.0 (/ (* x y) 2.0))))) (+ x (/ y (+ 1.0 (/ (* x y) 2.0)))))) (sqrt (/ (- (* x x) (* (/ y (+ 1.0 (/ (* x y) 2.0))) (/ y (+ 1.0 (/ (* x y) 2.0))))) (+ x (/ y (+ 1.0 (/ (* x y) 2.0)))))) (sqrt (/ (- (* x 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y 2)))) (- (+ (* 8.0 (/ 1 (* (pow x 3) (pow y 2)))) (* 2.0 (/ 1 x))) (* 4.0 (/ 1 (* (pow x 2) y)))) (- (+ (* 8.0 (/ 1 (* (pow x 3) (pow y 2)))) (* 2.0 (/ 1 x))) (* 4.0 (/ 1 (* (pow x 2) y)))) 4.363 * * [simplify]: iteration 0 : 413 enodes (cost 1861 ) 4.370 * * [simplify]: iteration 1 : 1883 enodes (cost 1754 ) 4.403 * * [simplify]: iteration 2 : 5001 enodes (cost 1754 ) 4.412 * [simplify]: Simplified to: (log (/ (- (* x x) (* (/ y (+ 1.0 (/ (* x y) 2.0))) (/ y (+ 1.0 (/ (* x y) 2.0))))) (+ x (/ y (+ 1.0 (/ (* x y) 2.0)))))) (log (/ (- (* x x) (* (/ y (+ 1.0 (/ (* x y) 2.0))) (/ y (+ 1.0 (/ (* x y) 2.0))))) (+ x (/ y (+ 1.0 (/ (* x y) 2.0)))))) (exp (/ (- (* x x) (* (/ y (+ 1.0 (/ (* x y) 2.0))) (/ y (+ 1.0 (/ (* x y) 2.0))))) (+ x (/ y (+ 1.0 (/ (* x y) 2.0)))))) (pow (/ (- (* x x) (* (/ y (+ 1.0 (/ (* x y) 2.0))) (/ y (+ 1.0 (/ (* x y) 2.0))))) (+ x (/ y (+ 1.0 (/ (* x y) 2.0))))) 3) (* (cbrt (/ (- (* x x) (* (/ y (+ 1.0 (/ (* x y) 2.0))) (/ y (+ 1.0 (/ (* x y) 2.0))))) (+ x (/ y (+ 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y) 2.0)))) (+ (* 1.0 (- x y)) (* 0.5 (* x (pow y 2)))) (- x (* 2.0 (/ 1 x))) (- x (* 2.0 (/ 1 x))) (- (+ (* 1.0 y) (* 0.25 (* (pow x 2) (pow y 3)))) (* 0.5 (* x (pow y 2)))) (+ (- (* 2.0 (/ 1 x)) (* 4.0 (/ 1 (* (pow x 2) y)))) (/ (/ 8.0 (pow y 2)) (pow x 3))) (+ (- (* 2.0 (/ 1 x)) (* 4.0 (/ 1 (* (pow x 2) y)))) (/ (/ 8.0 (pow y 2)) (pow x 3))) (- (+ (* 1.0 y) (* 0.25 (* (pow x 2) (pow y 3)))) (* 0.5 (* x (pow y 2)))) (+ (- (* 2.0 (/ 1 x)) (* 4.0 (/ 1 (* (pow x 2) y)))) (/ (/ 8.0 (pow y 2)) (pow x 3))) (+ (- (* 2.0 (/ 1 x)) (* 4.0 (/ 1 (* (pow x 2) y)))) (/ (/ 8.0 (pow y 2)) (pow x 3))) (- (+ (* 1.0 y) (* 0.25 (* (pow x 2) (pow y 3)))) (* 0.5 (* x (pow y 2)))) (+ (- (* 2.0 (/ 1 x)) (* 4.0 (/ 1 (* (pow x 2) y)))) (/ (/ 8.0 (pow y 2)) (pow x 3))) (+ (- (* 2.0 (/ 1 x)) (* 4.0 (/ 1 (* (pow x 2) y)))) (/ (/ 8.0 (pow y 2)) (pow x 3))) 4.413 * * * [progress]: adding candidates to table 5.193 * [progress]: [Phase 3 of 3] Extracting. 5.193 * * [regime]: Finding splitpoints for: (# # # #) 5.194 * * * [regime-changes]: Trying 2 branch expressions: (y x) 5.194 * * * * [regimes]: Trying to branch on y from (# # # #) 5.235 * * * * [regimes]: Trying to branch on x from (# # # #) 5.277 * * * [regime]: Found split indices: #