11.603 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.015 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying using # : (/ (+ x y) (* (* x 2.0) y)) 0.015 * [simplify]: Sending expressions to egg_math: (/ (+ h0 h1) (* (* h0 h2) h1)) 0.018 * * [simplify]: iteration 0 : 14 enodes (cost 4 ) 0.019 * * [simplify]: iteration 1 : 28 enodes (cost 4 ) 0.021 * * [simplify]: iteration 2 : 42 enodes (cost 4 ) 0.022 * * [simplify]: iteration 3 : 44 enodes (cost 4 ) 0.024 * * [simplify]: iteration 4 : 44 enodes (cost 4 ) 0.024 * [simplify]: Simplified to: (/ (+ x y) (* (* x 2.0) y)) 0.024 * * [progress]: iteration 1 / 4 0.024 * * * [progress]: picking best candidate 0.026 * * * * [pick]: Picked # 0.026 * * * [progress]: localizing error 0.031 * * * [progress]: generating rewritten candidates 0.031 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.067 * * * [progress]: generating series expansions 0.067 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.067 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 0.067 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 0.068 * [taylor]: Taking taylor expansion of 0.5 in y 0.068 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 0.068 * [taylor]: Taking taylor expansion of (+ x y) in y 0.068 * [taylor]: Taking taylor expansion of x in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.068 * [taylor]: Taking taylor expansion of (* x y) in y 0.068 * [taylor]: Taking taylor expansion of x in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.068 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.068 * [taylor]: Taking taylor expansion of 0.5 in x 0.068 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.068 * [taylor]: Taking taylor expansion of (+ x y) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of y in x 0.068 * [taylor]: Taking taylor expansion of (* x y) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of y in x 0.069 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.069 * [taylor]: Taking taylor expansion of 0.5 in x 0.069 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.069 * [taylor]: Taking taylor expansion of (+ x y) in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.069 * [taylor]: Taking taylor expansion of y in x 0.069 * [taylor]: Taking taylor expansion of (* x y) in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.069 * [taylor]: Taking taylor expansion of y in x 0.070 * [taylor]: Taking taylor expansion of 0.5 in y 0.071 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.071 * [taylor]: Taking taylor expansion of 0.5 in y 0.071 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.073 * [taylor]: Taking taylor expansion of 0 in y 0.075 * [taylor]: Taking taylor expansion of 0 in y 0.078 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.079 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.079 * [taylor]: Taking taylor expansion of 0.5 in y 0.079 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.079 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.079 * [taylor]: Taking taylor expansion of y in y 0.079 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.079 * [taylor]: Taking taylor expansion of x in y 0.079 * [taylor]: Taking taylor expansion of (* y x) in y 0.079 * [taylor]: Taking taylor expansion of y in y 0.079 * [taylor]: Taking taylor expansion of x in y 0.079 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.079 * [taylor]: Taking taylor expansion of 0.5 in x 0.079 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.079 * [taylor]: Taking taylor expansion of y in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of (* y x) in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.080 * [taylor]: Taking taylor expansion of 0.5 in x 0.080 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of (* y x) in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of 0 in y 0.082 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.082 * [taylor]: Taking taylor expansion of 0.5 in y 0.082 * [taylor]: Taking taylor expansion of y in y 0.084 * [taylor]: Taking taylor expansion of 0.5 in y 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.090 * [taylor]: Taking taylor expansion of 0 in y 0.094 * [taylor]: Taking taylor expansion of 0 in y 0.094 * [approximate]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.094 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.094 * [taylor]: Taking taylor expansion of -0.5 in y 0.094 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.094 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.094 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.094 * [taylor]: Taking taylor expansion of y in y 0.094 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.094 * [taylor]: Taking taylor expansion of x in y 0.094 * [taylor]: Taking taylor expansion of (* y x) in y 0.094 * [taylor]: Taking taylor expansion of y in y 0.094 * [taylor]: Taking taylor expansion of x in y 0.095 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.095 * [taylor]: Taking taylor expansion of -0.5 in x 0.095 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.095 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.095 * [taylor]: Taking taylor expansion of y in x 0.095 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.095 * [taylor]: Taking taylor expansion of (* y x) in x 0.095 * [taylor]: Taking taylor expansion of y in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.095 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.095 * [taylor]: Taking taylor expansion of -0.5 in x 0.095 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.095 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.095 * [taylor]: Taking taylor expansion of y in x 0.095 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.095 * [taylor]: Taking taylor expansion of (* y x) in x 0.095 * [taylor]: Taking taylor expansion of y in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.096 * [taylor]: Taking taylor expansion of 0 in y 0.097 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.097 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.097 * [taylor]: Taking taylor expansion of 0.5 in y 0.097 * [taylor]: Taking taylor expansion of y in y 0.099 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.099 * [taylor]: Taking taylor expansion of 0.5 in y 0.102 * [taylor]: Taking taylor expansion of 0 in y 0.106 * [taylor]: Taking taylor expansion of 0 in y 0.110 * [taylor]: Taking taylor expansion of 0 in y 0.111 * * * [progress]: simplifying candidates 0.112 * [simplify]: Simplifying using # : (- (log (+ x y)) (+ (+ (log x) (log 2.0)) (log y))) (- (log (+ x y)) (+ (log (* x 2.0)) (log y))) (- (log (+ x y)) (log (* (* x 2.0) y))) (log (/ (+ x y) (* (* x 2.0) y))) (exp (/ (+ x y) (* (* x 2.0) y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* (* x x) x) (* (* 2.0 2.0) 2.0)) (* (* y y) y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* (* x 2.0) (* x 2.0)) (* x 2.0)) (* (* y y) y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* (* x 2.0) y) (* (* x 2.0) y)) (* (* x 2.0) y))) (* (cbrt (/ (+ x y) (* (* x 2.0) y))) (cbrt (/ (+ x y) (* (* x 2.0) y)))) (cbrt (/ (+ x y) (* (* x 2.0) y))) (* (* (/ (+ x y) (* (* x 2.0) y)) (/ (+ x y) (* (* x 2.0) y))) (/ (+ x y) (* (* x 2.0) y))) (sqrt (/ (+ x y) (* (* x 2.0) y))) (sqrt (/ (+ x y) (* (* x 2.0) y))) (- (+ x y)) (- (* (* x 2.0) y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* x 2.0)) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* x 2.0)) (/ (sqrt (+ x y)) y) (/ 1 (* x 2.0)) (/ (+ x y) y) (/ 1 (* x 2.0)) (/ (+ x y) y) (/ 1 (* (* x 2.0) y)) (/ (* (* x 2.0) y) (+ x y)) (/ (+ x y) (* x 2.0)) (/ (* (* x 2.0) y) (cbrt (+ x y))) (/ (* (* x 2.0) y) (sqrt (+ x y))) (/ (* (* x 2.0) y) (+ x y)) (/ (* (* x 2.0) y) (+ x y)) (* (* (* x 2.0) y) (+ (* x x) (- (* y y) (* x y)))) (* (* (* x 2.0) y) (- x y)) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 0.112 * [simplify]: Sending expressions to egg_math: (- (log (+ h0 h1)) (+ (+ (log h0) (log h2)) (log h1))) (- (log (+ h0 h1)) (+ (log (* h0 h2)) (log h1))) (- (log (+ h0 h1)) (log (* (* h0 h2) h1))) (log (/ (+ h0 h1) (* (* h0 h2) h1))) (exp (/ (+ h0 h1) (* (* h0 h2) h1))) (/ (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* (* (* h0 h0) h0) (* (* h2 h2) h2)) (* (* h1 h1) h1))) (/ (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* (* (* h0 h2) (* h0 h2)) (* h0 h2)) (* (* h1 h1) h1))) (/ (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* (* (* h0 h2) h1) (* (* h0 h2) h1)) (* (* h0 h2) h1))) (* (cbrt (/ (+ h0 h1) (* (* h0 h2) h1))) (cbrt (/ (+ h0 h1) (* (* h0 h2) h1)))) (cbrt (/ (+ h0 h1) (* (* h0 h2) h1))) (* (* (/ (+ h0 h1) (* (* h0 h2) h1)) (/ (+ h0 h1) (* (* h0 h2) h1))) (/ (+ h0 h1) (* (* h0 h2) h1))) (sqrt (/ (+ h0 h1) (* (* h0 h2) h1))) (sqrt (/ (+ h0 h1) (* (* h0 h2) h1))) (- (+ h0 h1)) (- (* (* h0 h2) h1)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* h0 h2)) (/ (cbrt (+ h0 h1)) h1) (/ (sqrt (+ h0 h1)) (* h0 h2)) (/ (sqrt (+ h0 h1)) h1) (/ 1 (* h0 h2)) (/ (+ h0 h1) h1) (/ 1 (* h0 h2)) (/ (+ h0 h1) h1) (/ 1 (* (* h0 h2) h1)) (/ (* (* h0 h2) h1) (+ h0 h1)) (/ (+ h0 h1) (* h0 h2)) (/ (* (* h0 h2) h1) (cbrt (+ h0 h1))) (/ (* (* h0 h2) h1) (sqrt (+ h0 h1))) (/ (* (* h0 h2) h1) (+ h0 h1)) (/ (* (* h0 h2) h1) (+ h0 h1)) (* (* (* h0 h2) h1) (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (* (* (* h0 h2) h1) (- h0 h1)) (+ (* h3 (/ 1 h1)) (* h3 (/ 1 h0))) (+ (* h3 (/ 1 h1)) (* h3 (/ 1 h0))) (+ (* h3 (/ 1 h1)) (* h3 (/ 1 h0))) 0.119 * * [simplify]: iteration 0 : 220 enodes (cost 188 ) 0.124 * * [simplify]: iteration 1 : 940 enodes (cost 152 ) 0.146 * * [simplify]: iteration 2 : 5001 enodes (cost 152 ) 0.147 * [simplify]: Simplified to: (log (/ (+ x y) (* (* x 2.0) y))) (log (/ (+ x y) (* (* x 2.0) y))) (log (/ (+ x y) (* (* x 2.0) y))) (log (/ (+ x y) (* (* x 2.0) y))) (exp (/ (+ x y) (* (* x 2.0) y))) (pow (/ (+ x y) (* (* x 2.0) y)) 3) (pow (/ (+ x y) (* (* x 2.0) y)) 3) (pow (/ (+ x y) (* (* x 2.0) y)) 3) (* (cbrt (/ (+ x y) (* (* x 2.0) y))) (cbrt (/ (+ x y) (* (* x 2.0) y)))) (cbrt (/ (+ x y) (* (* x 2.0) y))) (pow (/ (+ x y) (* (* x 2.0) y)) 3) (sqrt (/ (+ x y) (* (* x 2.0) y))) (sqrt (/ (+ x y) (* (* x 2.0) y))) (- (+ x y)) (- (* (* x 2.0) y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* x 2.0)) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* x 2.0)) (/ (sqrt (+ x y)) y) (/ 1 (* x 2.0)) (/ (+ x y) y) (/ 1 (* x 2.0)) (/ (+ x y) y) (/ 1 (* (* x 2.0) y)) (/ (* (* x 2.0) y) (+ x y)) (/ (+ x y) (* x 2.0)) (/ (* (* x 2.0) y) (cbrt (+ x y))) (/ (* (* x 2.0) y) (sqrt (+ x y))) (/ (* (* x 2.0) y) (+ x y)) (/ (* (* x 2.0) y) (+ x y)) (* (+ (* y (- y x)) (* x x)) (* (* x 2.0) y)) (* (* (* x 2.0) y) (- x y)) (* 0.5 (+ (/ 1 y) (/ 1 x))) (* 0.5 (+ (/ 1 y) (/ 1 x))) (* 0.5 (+ (/ 1 y) (/ 1 x))) 0.147 * * * [progress]: adding candidates to table 0.188 * * [progress]: iteration 2 / 4 0.188 * * * [progress]: picking best candidate 0.192 * * * * [pick]: Picked # 0.192 * * * [progress]: localizing error 0.200 * * * [progress]: generating rewritten candidates 0.200 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.224 * * * [progress]: generating series expansions 0.224 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.224 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in (y x) around 0 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.224 * [taylor]: Taking taylor expansion of y in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.224 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.224 * [taylor]: Taking taylor expansion of y in y 0.225 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.225 * [taylor]: Taking taylor expansion of x in y 0.225 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.225 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.225 * [taylor]: Taking taylor expansion of y in y 0.225 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.225 * [taylor]: Taking taylor expansion of x in y 0.225 * [taylor]: Taking taylor expansion of 1 in x 0.226 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of 0 in x 0.228 * [taylor]: Taking taylor expansion of 0 in x 0.229 * [taylor]: Taking taylor expansion of 0 in x 0.229 * [approximate]: Taking taylor expansion of (+ x y) in (y x) around 0 0.230 * [taylor]: Taking taylor expansion of (+ x y) in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.230 * [taylor]: Taking taylor expansion of y in x 0.230 * [taylor]: Taking taylor expansion of (+ x y) in y 0.230 * [taylor]: Taking taylor expansion of x in y 0.230 * [taylor]: Taking taylor expansion of y in y 0.230 * [taylor]: Taking taylor expansion of (+ x y) in y 0.230 * [taylor]: Taking taylor expansion of x in y 0.230 * [taylor]: Taking taylor expansion of y in y 0.230 * [taylor]: Taking taylor expansion of x in x 0.230 * [taylor]: Taking taylor expansion of 1 in x 0.230 * [taylor]: Taking taylor expansion of 0 in x 0.230 * [taylor]: Taking taylor expansion of 0 in x 0.231 * [approximate]: Taking taylor expansion of (- (+ x y)) in (y x) around 0 0.231 * [taylor]: Taking taylor expansion of (- (+ x y)) in x 0.231 * [taylor]: Taking taylor expansion of (+ x y) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.231 * [taylor]: Taking taylor expansion of y in x 0.231 * [taylor]: Taking taylor expansion of (- (+ x y)) in y 0.231 * [taylor]: Taking taylor expansion of (+ x y) in y 0.231 * [taylor]: Taking taylor expansion of x in y 0.231 * [taylor]: Taking taylor expansion of y in y 0.231 * [taylor]: Taking taylor expansion of (- (+ x y)) in y 0.231 * [taylor]: Taking taylor expansion of (+ x y) in y 0.231 * [taylor]: Taking taylor expansion of x in y 0.231 * [taylor]: Taking taylor expansion of y in y 0.231 * [taylor]: Taking taylor expansion of (- x) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.232 * [taylor]: Taking taylor expansion of -1 in x 0.232 * [taylor]: Taking taylor expansion of 0 in x 0.233 * [taylor]: Taking taylor expansion of 0 in x 0.233 * * * [progress]: simplifying candidates 0.233 * [simplify]: Simplifying using # : (* (exp (/ 1 y)) (exp (/ 1 x))) (log (+ (/ 1 y) (/ 1 x))) (exp (+ (/ 1 y) (/ 1 x))) (* (cbrt (+ (/ 1 y) (/ 1 x))) (cbrt (+ (/ 1 y) (/ 1 x)))) (cbrt (+ (/ 1 y) (/ 1 x))) (* (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 y) (/ 1 x))) (sqrt (+ (/ 1 y) (/ 1 x))) (sqrt (+ (/ 1 y) (/ 1 x))) (+ (* 1 x) (* y 1)) (* y x) (+ (pow (/ 1 y) 3) (pow (/ 1 x) 3)) (+ (* (/ 1 y) (/ 1 y)) (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 x)))) (- (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))) (- (/ 1 y) (/ 1 x)) (+ (/ (cbrt 1) y) (/ (cbrt 1) x)) (+ (/ (sqrt 1) y) (/ (sqrt 1) x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) 0.234 * [simplify]: Sending expressions to egg_math: (* (exp (/ 1 h0)) (exp (/ 1 h1))) (log (+ (/ 1 h0) (/ 1 h1))) (exp (+ (/ 1 h0) (/ 1 h1))) (* (cbrt (+ (/ 1 h0) (/ 1 h1))) (cbrt (+ (/ 1 h0) (/ 1 h1)))) (cbrt (+ (/ 1 h0) (/ 1 h1))) (* (* (+ (/ 1 h0) (/ 1 h1)) (+ (/ 1 h0) (/ 1 h1))) (+ (/ 1 h0) (/ 1 h1))) (sqrt (+ (/ 1 h0) (/ 1 h1))) (sqrt (+ (/ 1 h0) (/ 1 h1))) (+ (* 1 h1) (* h0 1)) (* h0 h1) (+ (pow (/ 1 h0) 3) (pow (/ 1 h1) 3)) (+ (* (/ 1 h0) (/ 1 h0)) (- (* (/ 1 h1) (/ 1 h1)) (* (/ 1 h0) (/ 1 h1)))) (- (* (/ 1 h0) (/ 1 h0)) (* (/ 1 h1) (/ 1 h1))) (- (/ 1 h0) (/ 1 h1)) (+ (/ (cbrt 1) h0) (/ (cbrt 1) h1)) (+ (/ (sqrt 1) h0) (/ (sqrt 1) h1)) (+ (/ 1 h0) (/ 1 h1)) (+ (/ 1 h0) (/ 1 h1)) (+ (/ 1 h0) (/ 1 h1)) (+ (/ 1 h0) (/ 1 h1)) (+ (/ 1 h0) (/ 1 h1)) (+ (/ 1 h0) (/ 1 h1)) (+ (/ 1 h0) (/ 1 h1)) (+ (/ 1 h0) (/ 1 h1)) 0.237 * * [simplify]: iteration 0 : 101 enodes (cost 104 ) 0.240 * * [simplify]: iteration 1 : 345 enodes (cost 94 ) 0.246 * * [simplify]: iteration 2 : 1153 enodes (cost 91 ) 0.261 * * [simplify]: iteration 3 : 2775 enodes (cost 90 ) 0.299 * * [simplify]: iteration 4 : 5001 enodes (cost 90 ) 0.300 * [simplify]: Simplified to: (exp (+ (/ 1 y) (/ 1 x))) (log (+ (/ 1 y) (/ 1 x))) (exp (+ (/ 1 y) (/ 1 x))) (* (cbrt (+ (/ 1 y) (/ 1 x))) (cbrt (+ (/ 1 y) (/ 1 x)))) (cbrt (+ (/ 1 y) (/ 1 x))) (pow (+ (/ 1 y) (/ 1 x)) 3) (sqrt (+ (/ 1 y) (/ 1 x))) (sqrt (+ (/ 1 y) (/ 1 x))) (+ y x) (* y x) (+ (pow (/ 1 y) 3) (pow (/ 1 x) 3)) (+ (/ (- (/ 1 y) (/ 1 x)) y) (/ (/ 1 x) x)) (+ (/ (- (/ 1 x)) x) (/ (/ 1 y) y)) (- (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) 0.300 * * * [progress]: adding candidates to table 0.333 * * [progress]: iteration 3 / 4 0.333 * * * [progress]: picking best candidate 0.335 * * * * [pick]: Picked # 0.335 * * * [progress]: localizing error 0.341 * * * [progress]: generating rewritten candidates 0.341 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.369 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.395 * * * [progress]: generating series expansions 0.395 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.395 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 0.395 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 0.395 * [taylor]: Taking taylor expansion of 0.5 in y 0.395 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 0.395 * [taylor]: Taking taylor expansion of (+ x y) in y 0.395 * [taylor]: Taking taylor expansion of x in y 0.395 * [taylor]: Taking taylor expansion of y in y 0.396 * [taylor]: Taking taylor expansion of (* x y) in y 0.396 * [taylor]: Taking taylor expansion of x in y 0.396 * [taylor]: Taking taylor expansion of y in y 0.396 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.396 * [taylor]: Taking taylor expansion of 0.5 in x 0.396 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.396 * [taylor]: Taking taylor expansion of (+ x y) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of y in x 0.396 * [taylor]: Taking taylor expansion of (* x y) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of y in x 0.397 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.397 * [taylor]: Taking taylor expansion of 0.5 in x 0.397 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.397 * [taylor]: Taking taylor expansion of (+ x y) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.397 * [taylor]: Taking taylor expansion of y in x 0.397 * [taylor]: Taking taylor expansion of (* x y) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.397 * [taylor]: Taking taylor expansion of y in x 0.398 * [taylor]: Taking taylor expansion of 0.5 in y 0.399 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.399 * [taylor]: Taking taylor expansion of 0.5 in y 0.399 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.399 * [taylor]: Taking taylor expansion of y in y 0.401 * [taylor]: Taking taylor expansion of 0 in y 0.403 * [taylor]: Taking taylor expansion of 0 in y 0.406 * [taylor]: Taking taylor expansion of 0 in y 0.407 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.407 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.407 * [taylor]: Taking taylor expansion of 0.5 in y 0.407 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.407 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.407 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.407 * [taylor]: Taking taylor expansion of y in y 0.407 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.407 * [taylor]: Taking taylor expansion of x in y 0.407 * [taylor]: Taking taylor expansion of (* y x) in y 0.407 * [taylor]: Taking taylor expansion of y in y 0.407 * [taylor]: Taking taylor expansion of x in y 0.407 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.407 * [taylor]: Taking taylor expansion of 0.5 in x 0.407 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.407 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.407 * [taylor]: Taking taylor expansion of y in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.408 * [taylor]: Taking taylor expansion of (* y x) in x 0.408 * [taylor]: Taking taylor expansion of y in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.408 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.408 * [taylor]: Taking taylor expansion of 0.5 in x 0.408 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.408 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.408 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.408 * [taylor]: Taking taylor expansion of y in x 0.408 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.408 * [taylor]: Taking taylor expansion of (* y x) in x 0.408 * [taylor]: Taking taylor expansion of y in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.409 * [taylor]: Taking taylor expansion of 0 in y 0.410 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.410 * [taylor]: Taking taylor expansion of 0.5 in y 0.410 * [taylor]: Taking taylor expansion of y in y 0.412 * [taylor]: Taking taylor expansion of 0.5 in y 0.415 * [taylor]: Taking taylor expansion of 0 in y 0.418 * [taylor]: Taking taylor expansion of 0 in y 0.422 * [taylor]: Taking taylor expansion of 0 in y 0.422 * [approximate]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.423 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.423 * [taylor]: Taking taylor expansion of -0.5 in y 0.423 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.423 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.423 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.423 * [taylor]: Taking taylor expansion of y in y 0.423 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.423 * [taylor]: Taking taylor expansion of x in y 0.423 * [taylor]: Taking taylor expansion of (* y x) in y 0.423 * [taylor]: Taking taylor expansion of y in y 0.423 * [taylor]: Taking taylor expansion of x in y 0.423 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.423 * [taylor]: Taking taylor expansion of -0.5 in x 0.423 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.423 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.423 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.423 * [taylor]: Taking taylor expansion of y in x 0.423 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [taylor]: Taking taylor expansion of (* y x) in x 0.423 * [taylor]: Taking taylor expansion of y in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.423 * [taylor]: Taking taylor expansion of -0.5 in x 0.423 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.423 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.423 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.423 * [taylor]: Taking taylor expansion of y in x 0.424 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.424 * [taylor]: Taking taylor expansion of x 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 0.425 * [taylor]: Taking taylor expansion of 0 in y 0.425 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.425 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.426 * [taylor]: Taking taylor expansion of 0.5 in y 0.426 * [taylor]: Taking taylor expansion of y in y 0.427 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.428 * [taylor]: Taking taylor expansion of 0.5 in y 0.430 * [taylor]: Taking taylor expansion of 0 in y 0.434 * [taylor]: Taking taylor expansion of 0 in y 0.439 * [taylor]: Taking taylor expansion of 0 in y 0.439 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.439 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in (x y) around 0 0.439 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in y 0.439 * [taylor]: Taking taylor expansion of 0.5 in y 0.439 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 0.439 * [taylor]: Taking taylor expansion of (+ x y) in y 0.439 * [taylor]: Taking taylor expansion of x in y 0.439 * [taylor]: Taking taylor expansion of y in y 0.440 * [taylor]: Taking taylor expansion of x in y 0.440 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in x 0.440 * [taylor]: Taking taylor expansion of 0.5 in x 0.440 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.440 * [taylor]: Taking taylor expansion of (+ x y) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [taylor]: Taking taylor expansion of y in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in x 0.440 * [taylor]: Taking taylor expansion of 0.5 in x 0.440 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.440 * [taylor]: Taking taylor expansion of (+ x y) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [taylor]: Taking taylor expansion of y in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.440 * [taylor]: Taking taylor expansion of 0.5 in y 0.440 * [taylor]: Taking taylor expansion of y in y 0.441 * [taylor]: Taking taylor expansion of 0.5 in y 0.443 * [taylor]: Taking taylor expansion of 0 in y 0.446 * [taylor]: Taking taylor expansion of 0 in y 0.446 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.446 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.446 * [taylor]: Taking taylor expansion of 0.5 in y 0.446 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.446 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.446 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.446 * [taylor]: Taking taylor expansion of y in y 0.446 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.446 * [taylor]: Taking taylor expansion of x in y 0.446 * [taylor]: Taking taylor expansion of x in y 0.446 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.446 * [taylor]: Taking taylor expansion of 0.5 in x 0.446 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.446 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.447 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.447 * [taylor]: Taking taylor expansion of y in x 0.447 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.447 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.447 * [taylor]: Taking taylor expansion of 0.5 in x 0.447 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.447 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.447 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.447 * [taylor]: Taking taylor expansion of y in x 0.447 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.448 * [taylor]: Taking taylor expansion of 0 in y 0.449 * [taylor]: Taking taylor expansion of 0.5 in y 0.451 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.451 * [taylor]: Taking taylor expansion of 0.5 in y 0.451 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.451 * [taylor]: Taking taylor expansion of y in y 0.457 * [taylor]: Taking taylor expansion of 0 in y 0.460 * [taylor]: Taking taylor expansion of 0 in y 0.461 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.461 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.461 * [taylor]: Taking taylor expansion of 0.5 in y 0.461 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.461 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.461 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.461 * [taylor]: Taking taylor expansion of y in y 0.462 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.462 * [taylor]: Taking taylor expansion of x in y 0.462 * [taylor]: Taking taylor expansion of x in y 0.462 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.462 * [taylor]: Taking taylor expansion of 0.5 in x 0.462 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.462 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.462 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.462 * [taylor]: Taking taylor expansion of y in x 0.462 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.462 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.462 * [taylor]: Taking taylor expansion of 0.5 in x 0.462 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.462 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.462 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.462 * [taylor]: Taking taylor expansion of y in x 0.462 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.463 * [taylor]: Taking taylor expansion of 0 in y 0.465 * [taylor]: Taking taylor expansion of 0.5 in y 0.466 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.466 * [taylor]: Taking taylor expansion of 0.5 in y 0.466 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.466 * [taylor]: Taking taylor expansion of y in y 0.469 * [taylor]: Taking taylor expansion of 0 in y 0.472 * [taylor]: Taking taylor expansion of 0 in y 0.473 * * * [progress]: simplifying candidates 0.474 * [simplify]: Simplifying using # : (- (- (log (+ x y)) (+ (log x) (log 2.0))) (log y)) (- (- (log (+ x y)) (log (* x 2.0))) (log y)) (- (log (/ (+ x y) (* x 2.0))) (log y)) (log (/ (/ (+ x y) (* x 2.0)) y)) (exp (/ (/ (+ x y) (* x 2.0)) y)) (/ (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* x x) x) (* (* 2.0 2.0) 2.0))) (* (* y y) y)) (/ (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* x 2.0) (* x 2.0)) (* x 2.0))) (* (* y y) y)) (/ (* (* (/ (+ x y) (* x 2.0)) (/ (+ x y) (* x 2.0))) (/ (+ x y) (* x 2.0))) (* (* y y) y)) (* (cbrt (/ (/ (+ x y) (* x 2.0)) y)) (cbrt (/ (/ (+ x y) (* x 2.0)) y))) (cbrt (/ (/ (+ x y) (* x 2.0)) y)) (* (* (/ (/ (+ x y) (* x 2.0)) y) (/ (/ (+ x y) (* x 2.0)) y)) (/ (/ (+ x y) (* x 2.0)) y)) (sqrt (/ (/ (+ x y) (* x 2.0)) y)) (sqrt (/ (/ (+ x y) (* x 2.0)) y)) (- (/ (+ x y) (* x 2.0))) (- y) (/ (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (* (cbrt y) (cbrt y))) (/ (cbrt (/ (+ x y) (* x 2.0))) (cbrt y)) (/ (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (sqrt y)) (/ (cbrt (/ (+ x y) (* x 2.0))) (sqrt y)) (/ (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) 1) (/ (cbrt (/ (+ x y) (* x 2.0))) y) (/ (sqrt (/ (+ x y) (* x 2.0))) (* (cbrt y) (cbrt y))) (/ (sqrt (/ (+ x y) (* x 2.0))) (cbrt y)) (/ (sqrt (/ (+ x y) (* x 2.0))) (sqrt y)) (/ (sqrt (/ (+ x y) (* x 2.0))) (sqrt y)) (/ (sqrt (/ (+ x y) (* x 2.0))) 1) (/ (sqrt (/ (+ x y) (* x 2.0))) y) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (* (cbrt y) (cbrt y))) (/ (/ (cbrt (+ x y)) 2.0) (cbrt y)) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (sqrt y)) (/ (/ (cbrt (+ x y)) 2.0) (sqrt y)) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) 1) (/ (/ (cbrt (+ x y)) 2.0) y) (/ (/ (sqrt (+ x y)) x) (* (cbrt y) (cbrt y))) (/ (/ (sqrt (+ x y)) 2.0) (cbrt y)) (/ (/ (sqrt (+ x y)) x) (sqrt y)) (/ (/ (sqrt (+ x y)) 2.0) (sqrt y)) (/ (/ (sqrt (+ x y)) x) 1) (/ (/ (sqrt (+ x y)) 2.0) y) (/ (/ 1 x) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) 2.0) (cbrt y)) (/ (/ 1 x) (sqrt y)) (/ (/ (+ x y) 2.0) (sqrt y)) (/ (/ 1 x) 1) (/ (/ (+ x y) 2.0) y) (/ (/ 1 x) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) 2.0) (cbrt y)) (/ (/ 1 x) (sqrt y)) (/ (/ (+ x y) 2.0) (sqrt y)) (/ (/ 1 x) 1) (/ (/ (+ x y) 2.0) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ (+ x y) (* x 2.0)) (cbrt y)) (/ 1 (sqrt y)) (/ (/ (+ x y) (* x 2.0)) (sqrt y)) (/ 1 1) (/ (/ (+ x y) (* x 2.0)) y) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (/ 1 (* x 2.0)) (cbrt y)) (/ (+ x y) (sqrt y)) (/ (/ 1 (* x 2.0)) (sqrt y)) (/ (+ x y) 1) (/ (/ 1 (* x 2.0)) y) (/ 1 y) (/ y (/ (+ x y) (* x 2.0))) (/ (/ (+ x y) (* x 2.0)) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) (* x 2.0)) (sqrt y)) (/ (/ (+ x y) (* x 2.0)) 1) (/ y (cbrt (/ (+ x y) (* x 2.0)))) (/ y (sqrt (/ (+ x y) (* x 2.0)))) (/ y (/ (cbrt (+ x y)) 2.0)) (/ y (/ (sqrt (+ x y)) 2.0)) (/ y (/ (+ x y) 2.0)) (/ y (/ (+ x y) 2.0)) (/ y (/ (+ x y) (* x 2.0))) (/ y (/ 1 (* x 2.0))) (* y (* x 2.0)) (- (log (+ x y)) (+ (log x) (log 2.0))) (- (log (+ x y)) (log (* x 2.0))) (log (/ (+ x y) (* x 2.0))) (exp (/ (+ x y) (* x 2.0))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* x x) x) (* (* 2.0 2.0) 2.0))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* x 2.0) (* x 2.0)) (* x 2.0))) (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (cbrt (/ (+ x y) (* x 2.0))) (* (* (/ (+ x y) (* x 2.0)) (/ (+ x y) (* x 2.0))) (/ (+ x y) (* x 2.0))) (sqrt (/ (+ x y) (* x 2.0))) (sqrt (/ (+ x y) (* x 2.0))) (- (+ x y)) (- (* x 2.0)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (/ (cbrt (+ x y)) 2.0) (/ (sqrt (+ x y)) x) (/ (sqrt (+ x y)) 2.0) (/ 1 x) (/ (+ x y) 2.0) (/ 1 x) (/ (+ x y) 2.0) (/ 1 (* x 2.0)) (/ (* x 2.0) (+ x y)) (/ (+ x y) x) (/ (* x 2.0) (cbrt (+ x y))) (/ (* x 2.0) (sqrt (+ x y))) (/ (* x 2.0) (+ x y)) (/ (* x 2.0) (+ x y)) (* (* x 2.0) (+ (* x x) (- (* y y) (* x y)))) (* (* x 2.0) (- x y)) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ y x)) 0.5) (+ (* 0.5 (/ y x)) 0.5) (+ (* 0.5 (/ y x)) 0.5) 0.474 * [simplify]: Sending expressions to egg_math: (- (- (log (+ h0 h1)) (+ (log h0) (log h2))) (log h1)) (- (- (log (+ h0 h1)) (log (* h0 h2))) (log h1)) (- (log (/ (+ h0 h1) (* h0 h2))) (log h1)) (log (/ (/ (+ h0 h1) (* h0 h2)) h1)) (exp (/ (/ (+ h0 h1) (* h0 h2)) h1)) (/ (/ (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* (* h0 h0) h0) (* (* h2 h2) h2))) (* (* h1 h1) h1)) (/ (/ (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* (* h0 h2) (* h0 h2)) (* h0 h2))) (* (* h1 h1) h1)) (/ (* (* (/ (+ h0 h1) (* h0 h2)) (/ (+ h0 h1) (* h0 h2))) (/ (+ h0 h1) (* h0 h2))) (* (* h1 h1) h1)) (* (cbrt (/ (/ (+ h0 h1) (* h0 h2)) h1)) (cbrt (/ (/ (+ h0 h1) (* h0 h2)) h1))) (cbrt (/ (/ (+ h0 h1) (* h0 h2)) h1)) (* (* (/ (/ (+ h0 h1) (* h0 h2)) h1) (/ (/ (+ h0 h1) (* h0 h2)) h1)) (/ (/ (+ h0 h1) (* h0 h2)) h1)) (sqrt (/ (/ (+ h0 h1) (* h0 h2)) h1)) (sqrt (/ (/ (+ h0 h1) (* h0 h2)) h1)) (- (/ (+ h0 h1) (* h0 h2))) (- h1) (/ (* (cbrt (/ (+ h0 h1) (* h0 h2))) (cbrt (/ (+ h0 h1) (* h0 h2)))) (* (cbrt h1) (cbrt h1))) (/ (cbrt (/ (+ h0 h1) (* h0 h2))) (cbrt h1)) (/ (* (cbrt (/ (+ h0 h1) (* h0 h2))) (cbrt (/ (+ h0 h1) (* h0 h2)))) (sqrt h1)) (/ (cbrt (/ (+ h0 h1) (* h0 h2))) (sqrt h1)) (/ (* (cbrt (/ (+ h0 h1) (* h0 h2))) (cbrt (/ (+ h0 h1) (* h0 h2)))) 1) (/ (cbrt (/ (+ h0 h1) (* h0 h2))) h1) (/ (sqrt (/ (+ h0 h1) (* h0 h2))) (* (cbrt h1) (cbrt h1))) (/ (sqrt (/ (+ h0 h1) (* h0 h2))) (cbrt h1)) (/ (sqrt (/ (+ h0 h1) (* h0 h2))) (sqrt h1)) (/ (sqrt (/ (+ h0 h1) (* h0 h2))) (sqrt h1)) (/ (sqrt (/ (+ h0 h1) (* h0 h2))) 1) (/ (sqrt (/ (+ h0 h1) (* h0 h2))) h1) (/ (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) h0) (* (cbrt h1) (cbrt h1))) (/ (/ (cbrt (+ h0 h1)) h2) (cbrt h1)) (/ (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) h0) (sqrt h1)) (/ (/ (cbrt (+ h0 h1)) h2) (sqrt h1)) (/ (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) h0) 1) (/ (/ (cbrt (+ h0 h1)) h2) h1) (/ (/ (sqrt (+ h0 h1)) h0) (* (cbrt h1) (cbrt h1))) (/ (/ (sqrt (+ h0 h1)) h2) (cbrt h1)) (/ (/ (sqrt (+ h0 h1)) h0) (sqrt h1)) (/ (/ (sqrt (+ h0 h1)) h2) (sqrt h1)) (/ (/ (sqrt (+ h0 h1)) h0) 1) (/ (/ (sqrt (+ h0 h1)) h2) h1) (/ (/ 1 h0) (* (cbrt h1) (cbrt h1))) (/ (/ (+ h0 h1) h2) (cbrt h1)) (/ (/ 1 h0) (sqrt h1)) (/ (/ (+ h0 h1) h2) (sqrt h1)) (/ (/ 1 h0) 1) (/ (/ (+ h0 h1) h2) h1) (/ (/ 1 h0) (* (cbrt h1) (cbrt h1))) (/ (/ (+ h0 h1) h2) (cbrt h1)) (/ (/ 1 h0) (sqrt h1)) (/ (/ (+ h0 h1) h2) (sqrt h1)) (/ (/ 1 h0) 1) (/ (/ (+ h0 h1) h2) h1) (/ 1 (* (cbrt h1) (cbrt h1))) (/ (/ (+ h0 h1) (* h0 h2)) (cbrt h1)) (/ 1 (sqrt h1)) (/ (/ (+ h0 h1) (* h0 h2)) (sqrt h1)) (/ 1 1) (/ (/ (+ h0 h1) (* h0 h2)) h1) (/ (+ h0 h1) (* (cbrt h1) (cbrt h1))) (/ (/ 1 (* h0 h2)) (cbrt h1)) (/ (+ h0 h1) (sqrt h1)) (/ (/ 1 (* h0 h2)) (sqrt h1)) (/ (+ h0 h1) 1) (/ (/ 1 (* h0 h2)) h1) (/ 1 h1) (/ h1 (/ (+ h0 h1) (* h0 h2))) (/ (/ (+ h0 h1) (* h0 h2)) (* (cbrt h1) (cbrt h1))) (/ (/ (+ h0 h1) (* h0 h2)) (sqrt h1)) (/ (/ (+ h0 h1) (* h0 h2)) 1) (/ h1 (cbrt (/ (+ h0 h1) (* h0 h2)))) (/ h1 (sqrt (/ (+ h0 h1) (* h0 h2)))) (/ h1 (/ (cbrt (+ h0 h1)) h2)) (/ h1 (/ (sqrt (+ h0 h1)) h2)) (/ h1 (/ (+ h0 h1) h2)) (/ h1 (/ (+ h0 h1) h2)) (/ h1 (/ (+ h0 h1) (* h0 h2))) (/ h1 (/ 1 (* h0 h2))) (* h1 (* h0 h2)) (- (log (+ h0 h1)) (+ (log h0) (log h2))) (- (log (+ h0 h1)) (log (* h0 h2))) (log (/ (+ h0 h1) (* h0 h2))) (exp (/ (+ h0 h1) (* h0 h2))) (/ (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* (* h0 h0) h0) (* (* h2 h2) h2))) (/ (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* (* h0 h2) (* h0 h2)) (* h0 h2))) (* (cbrt (/ (+ h0 h1) (* h0 h2))) (cbrt (/ (+ h0 h1) (* h0 h2)))) (cbrt (/ (+ h0 h1) (* h0 h2))) (* (* (/ (+ h0 h1) (* h0 h2)) (/ (+ h0 h1) (* h0 h2))) (/ (+ h0 h1) (* h0 h2))) (sqrt (/ (+ h0 h1) (* h0 h2))) (sqrt (/ (+ h0 h1) (* h0 h2))) (- (+ h0 h1)) (- (* h0 h2)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) h0) (/ (cbrt (+ h0 h1)) h2) (/ (sqrt (+ h0 h1)) h0) (/ (sqrt (+ h0 h1)) h2) (/ 1 h0) (/ (+ h0 h1) h2) (/ 1 h0) (/ (+ h0 h1) h2) (/ 1 (* h0 h2)) (/ (* h0 h2) (+ h0 h1)) (/ (+ h0 h1) h0) (/ (* h0 h2) (cbrt (+ h0 h1))) (/ (* h0 h2) (sqrt (+ h0 h1))) (/ (* h0 h2) (+ h0 h1)) (/ (* h0 h2) (+ h0 h1)) (* (* h0 h2) (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (* (* h0 h2) (- h0 h1)) (+ (* h3 (/ 1 h1)) (* h3 (/ 1 h0))) (+ (* h3 (/ 1 h1)) (* h3 (/ 1 h0))) (+ (* h3 (/ 1 h1)) (* h3 (/ 1 h0))) (+ (* h3 (/ h1 h0)) h3) (+ (* h3 (/ h1 h0)) h3) (+ (* h3 (/ h1 h0)) h3) 0.480 * * [simplify]: iteration 0 : 337 enodes (cost 543 ) 0.486 * * [simplify]: iteration 1 : 1330 enodes (cost 485 ) 0.511 * * [simplify]: iteration 2 : 5001 enodes (cost 485 ) 0.513 * [simplify]: Simplified to: (log (/ (/ (+ x y) (* x 2.0)) y)) (log (/ (/ (+ x y) (* x 2.0)) y)) (log (/ (/ (+ x y) (* x 2.0)) y)) (log (/ (/ (+ x y) (* x 2.0)) y)) (exp (/ (/ (+ x y) (* x 2.0)) y)) (pow (/ (/ (+ x y) (* x 2.0)) y) 3) (pow (/ (/ (+ x y) (* x 2.0)) y) 3) (pow (/ (/ (+ x y) (* x 2.0)) y) 3) (* (cbrt (/ (/ (+ x y) (* x 2.0)) y)) (cbrt (/ (/ (+ x y) (* x 2.0)) y))) (cbrt (/ (/ (+ x y) (* x 2.0)) y)) (pow (/ (/ (+ x y) (* x 2.0)) y) 3) (sqrt (/ (/ (+ x y) (* x 2.0)) y)) (sqrt (/ (/ (+ x y) (* x 2.0)) y)) (- (/ (+ x y) (* x 2.0))) (- y) (/ (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (* (cbrt y) (cbrt y))) (/ (cbrt (/ (+ x y) (* x 2.0))) (cbrt y)) (/ (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (sqrt y)) (/ (cbrt (/ (+ x y) (* x 2.0))) (sqrt y)) (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (/ (cbrt (/ (+ x y) (* x 2.0))) y) (/ (sqrt (/ (+ x y) (* x 2.0))) (* (cbrt y) (cbrt y))) (/ (sqrt (/ (+ x y) (* x 2.0))) (cbrt y)) (/ (sqrt (/ (+ x y) (* x 2.0))) (sqrt y)) (/ (sqrt (/ (+ x y) (* x 2.0))) (sqrt y)) (sqrt (/ (+ x y) (* x 2.0))) (/ (sqrt (/ (+ x y) (* x 2.0))) y) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (* (cbrt y) (cbrt y))) (/ (/ (cbrt (+ x y)) 2.0) (cbrt y)) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (sqrt y)) (/ (/ (cbrt (+ x y)) 2.0) (sqrt y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (/ (/ (cbrt (+ x y)) 2.0) y) (/ (/ (sqrt (+ x y)) x) (* (cbrt y) (cbrt y))) (/ (/ (sqrt (+ x y)) 2.0) (cbrt y)) (/ (/ (sqrt (+ x y)) x) (sqrt y)) (/ (/ (sqrt (+ x y)) 2.0) (sqrt y)) (/ (sqrt (+ x y)) x) (/ (/ (sqrt (+ x y)) 2.0) y) (/ (/ 1 x) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) 2.0) (cbrt y)) (/ (/ 1 x) (sqrt y)) (/ (/ (+ x y) 2.0) (sqrt y)) (/ 1 x) (/ (/ (+ x y) 2.0) y) (/ (/ 1 x) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) 2.0) (cbrt y)) (/ (/ 1 x) (sqrt y)) (/ (/ (+ x y) 2.0) (sqrt y)) (/ 1 x) (/ (/ (+ x y) 2.0) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ (+ x y) (* x 2.0)) (cbrt y)) (/ 1 (sqrt y)) (/ (/ (+ x y) (* x 2.0)) (sqrt y)) 1 (/ (/ (+ x y) (* x 2.0)) y) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (/ 1 (* x 2.0)) (cbrt y)) (/ (+ x y) (sqrt y)) (/ (/ 1 (* x 2.0)) (sqrt y)) (+ x y) (/ (/ 1 (* x 2.0)) y) (/ 1 y) (/ y (/ (+ x y) (* x 2.0))) (/ (/ (+ x y) (* x 2.0)) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) (* x 2.0)) (sqrt y)) (/ (+ x y) (* x 2.0)) (/ y (cbrt (/ (+ x y) (* x 2.0)))) (/ y (sqrt (/ (+ x y) (* x 2.0)))) (/ y (/ (cbrt (+ x y)) 2.0)) (/ y (/ (sqrt (+ x y)) 2.0)) (/ y (/ (+ x y) 2.0)) (/ y (/ (+ x y) 2.0)) (/ y (/ (+ x y) (* x 2.0))) (* y (* x 2.0)) (* y (* x 2.0)) (log (/ (+ x y) (* x 2.0))) (log (/ (+ x y) (* x 2.0))) (log (/ (+ x y) (* x 2.0))) (exp (/ (+ x y) (* x 2.0))) (pow (/ (+ x y) (* x 2.0)) 3) (pow (/ (+ x y) (* x 2.0)) 3) (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (cbrt (/ (+ x y) (* x 2.0))) (pow (/ (+ x y) (* x 2.0)) 3) (sqrt (/ (+ x y) (* x 2.0))) (sqrt (/ (+ x y) (* x 2.0))) (- (+ x y)) (- (* x 2.0)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (/ (cbrt (+ x y)) 2.0) (/ (sqrt (+ x y)) x) (/ (sqrt (+ x y)) 2.0) (/ 1 x) (/ (+ x y) 2.0) (/ 1 x) (/ (+ x y) 2.0) (/ 1 (* x 2.0)) (/ (* x 2.0) (+ x y)) (/ (+ x y) x) (/ (* x 2.0) (cbrt (+ x y))) (/ (* x 2.0) (sqrt (+ x y))) (/ (* x 2.0) (+ x y)) (/ (* x 2.0) (+ x y)) (* (+ (* y (- y x)) (* x x)) (* x 2.0)) (* (* x 2.0) (- x y)) (* 0.5 (+ (/ 1 y) (/ 1 x))) (* 0.5 (+ (/ 1 y) (/ 1 x))) (* 0.5 (+ (/ 1 y) (/ 1 x))) (+ (* 0.5 (/ y x)) 0.5) (+ (* 0.5 (/ y x)) 0.5) (+ (* 0.5 (/ y x)) 0.5) 0.514 * * * [progress]: adding candidates to table 0.637 * * [progress]: iteration 4 / 4 0.637 * * * [progress]: picking best candidate 0.638 * * * * [pick]: Picked # 0.639 * * * [progress]: localizing error 0.645 * * * [progress]: generating rewritten candidates 0.645 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.689 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.795 * * * [progress]: generating series expansions 0.795 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.795 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 0.795 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 0.795 * [taylor]: Taking taylor expansion of 0.5 in y 0.795 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 0.795 * [taylor]: Taking taylor expansion of (+ x y) in y 0.795 * [taylor]: Taking taylor expansion of x in y 0.795 * [taylor]: Taking taylor expansion of y in y 0.795 * [taylor]: Taking taylor expansion of (* x y) in y 0.795 * [taylor]: Taking taylor expansion of x in y 0.795 * [taylor]: Taking taylor expansion of y in y 0.796 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.796 * [taylor]: Taking taylor expansion of 0.5 in x 0.796 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.796 * [taylor]: Taking taylor expansion of (+ x y) in x 0.796 * [taylor]: Taking taylor expansion of x in x 0.796 * [taylor]: Taking taylor expansion of y in x 0.796 * [taylor]: Taking taylor expansion of (* x y) in x 0.796 * [taylor]: Taking taylor expansion of x in x 0.796 * [taylor]: Taking taylor expansion of y in x 0.796 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.796 * [taylor]: Taking taylor expansion of 0.5 in x 0.796 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.796 * [taylor]: Taking taylor expansion of (+ x y) in x 0.796 * [taylor]: Taking taylor expansion of x in x 0.796 * [taylor]: Taking taylor expansion of y in x 0.796 * [taylor]: Taking taylor expansion of (* x y) in x 0.796 * [taylor]: Taking taylor expansion of x in x 0.796 * [taylor]: Taking taylor expansion of y in x 0.797 * [taylor]: Taking taylor expansion of 0.5 in y 0.798 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.798 * [taylor]: Taking taylor expansion of 0.5 in y 0.798 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.798 * [taylor]: Taking taylor expansion of y in y 0.800 * [taylor]: Taking taylor expansion of 0 in y 0.802 * [taylor]: Taking taylor expansion of 0 in y 0.805 * [taylor]: Taking taylor expansion of 0 in y 0.806 * [approximate]: Taking taylor expansion of (* 0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.806 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in y 0.806 * [taylor]: Taking taylor expansion of 0.5 in y 0.806 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in y 0.806 * [taylor]: Taking taylor expansion of x in y 0.806 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in y 0.806 * [taylor]: Taking taylor expansion of y in y 0.806 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.806 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.806 * [taylor]: Taking taylor expansion of y in y 0.806 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.806 * [taylor]: Taking taylor expansion of x in y 0.806 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in x 0.806 * [taylor]: Taking taylor expansion of 0.5 in x 0.806 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 0.806 * [taylor]: Taking taylor expansion of x in x 0.806 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 0.806 * [taylor]: Taking taylor expansion of y in x 0.806 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.806 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.806 * [taylor]: Taking taylor expansion of y in x 0.806 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.806 * [taylor]: Taking taylor expansion of x in x 0.806 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in x 0.806 * [taylor]: Taking taylor expansion of 0.5 in x 0.806 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 0.806 * [taylor]: Taking taylor expansion of x in x 0.807 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 0.807 * [taylor]: Taking taylor expansion of y in x 0.807 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.807 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.807 * [taylor]: Taking taylor expansion of y in x 0.807 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.807 * [taylor]: Taking taylor expansion of x in x 0.807 * [taylor]: Taking taylor expansion of 0 in y 0.809 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.809 * [taylor]: Taking taylor expansion of 0.5 in y 0.809 * [taylor]: Taking taylor expansion of y in y 0.810 * [taylor]: Taking taylor expansion of 0.5 in y 0.813 * [taylor]: Taking taylor expansion of 0 in y 0.817 * [taylor]: Taking taylor expansion of 0 in y 0.821 * [taylor]: Taking taylor expansion of 0 in y 0.821 * [approximate]: Taking taylor expansion of (* -0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.821 * [taylor]: Taking taylor expansion of (* -0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in y 0.822 * [taylor]: Taking taylor expansion of -0.5 in y 0.822 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in y 0.822 * [taylor]: Taking taylor expansion of x in y 0.822 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in y 0.822 * [taylor]: Taking taylor expansion of y in y 0.822 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.822 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.822 * [taylor]: Taking taylor expansion of y in y 0.822 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.822 * [taylor]: Taking taylor expansion of x in y 0.822 * [taylor]: Taking taylor expansion of (* -0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in x 0.822 * [taylor]: Taking taylor expansion of -0.5 in x 0.822 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 0.822 * [taylor]: Taking taylor expansion of x in x 0.822 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 0.822 * [taylor]: Taking taylor expansion of y in x 0.822 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.822 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.822 * [taylor]: Taking taylor expansion of y in x 0.822 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.822 * [taylor]: Taking taylor expansion of x in x 0.822 * [taylor]: Taking taylor expansion of (* -0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in x 0.822 * [taylor]: Taking taylor expansion of -0.5 in x 0.822 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 0.822 * [taylor]: Taking taylor expansion of x in x 0.822 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 0.822 * [taylor]: Taking taylor expansion of y in x 0.822 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.822 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.823 * [taylor]: Taking taylor expansion of y in x 0.823 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.823 * [taylor]: Taking taylor expansion of x in x 0.823 * [taylor]: Taking taylor expansion of 0 in y 0.824 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.824 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.824 * [taylor]: Taking taylor expansion of 0.5 in y 0.825 * [taylor]: Taking taylor expansion of y in y 0.826 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.826 * [taylor]: Taking taylor expansion of 0.5 in y 0.829 * [taylor]: Taking taylor expansion of 0 in y 0.834 * [taylor]: Taking taylor expansion of 0 in y 0.839 * [taylor]: Taking taylor expansion of 0 in y 0.839 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.839 * [approximate]: Taking taylor expansion of (* 2.0 (/ y (+ x y))) in (y x) around 0 0.839 * [taylor]: Taking taylor expansion of (* 2.0 (/ y (+ x y))) in x 0.839 * [taylor]: Taking taylor expansion of 2.0 in x 0.839 * [taylor]: Taking taylor expansion of (/ y (+ x y)) in x 0.839 * [taylor]: Taking taylor expansion of y in x 0.839 * [taylor]: Taking taylor expansion of (+ x y) in x 0.839 * [taylor]: Taking taylor expansion of x in x 0.839 * [taylor]: Taking taylor expansion of y in x 0.839 * [taylor]: Taking taylor expansion of (* 2.0 (/ y (+ x y))) in y 0.839 * [taylor]: Taking taylor expansion of 2.0 in y 0.839 * [taylor]: Taking taylor expansion of (/ y (+ x y)) in y 0.839 * [taylor]: Taking taylor expansion of y in y 0.839 * [taylor]: Taking taylor expansion of (+ x y) in y 0.839 * [taylor]: Taking taylor expansion of x in y 0.839 * [taylor]: Taking taylor expansion of y in y 0.839 * [taylor]: Taking taylor expansion of (* 2.0 (/ y (+ x y))) in y 0.840 * [taylor]: Taking taylor expansion of 2.0 in y 0.840 * [taylor]: Taking taylor expansion of (/ y (+ x y)) in y 0.840 * [taylor]: Taking taylor expansion of y in y 0.840 * [taylor]: Taking taylor expansion of (+ x y) in y 0.840 * [taylor]: Taking taylor expansion of x in y 0.840 * [taylor]: Taking taylor expansion of y in y 0.840 * [taylor]: Taking taylor expansion of (/ 2.0 x) in x 0.840 * [taylor]: Taking taylor expansion of 2.0 in x 0.840 * [taylor]: Taking taylor expansion of x in x 0.841 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow x 2)))) in x 0.841 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow x 2))) in x 0.841 * [taylor]: Taking taylor expansion of 2.0 in x 0.841 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.841 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.841 * [taylor]: Taking taylor expansion of x in x 0.845 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow x 3))) in x 0.845 * [taylor]: Taking taylor expansion of 2.0 in x 0.845 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.845 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.845 * [taylor]: Taking taylor expansion of x in x 0.857 * [approximate]: Taking taylor expansion of (/ 2.0 (* (+ (/ 1 y) (/ 1 x)) y)) in (y x) around 0 0.857 * [taylor]: Taking taylor expansion of (/ 2.0 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.857 * [taylor]: Taking taylor expansion of 2.0 in x 0.857 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.857 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.857 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.857 * [taylor]: Taking taylor expansion of y in x 0.857 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.857 * [taylor]: Taking taylor expansion of x in x 0.857 * [taylor]: Taking taylor expansion of y in x 0.858 * [taylor]: Taking taylor expansion of (/ 2.0 (* (+ (/ 1 y) (/ 1 x)) y)) in y 0.858 * [taylor]: Taking taylor expansion of 2.0 in y 0.858 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 0.858 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.858 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.858 * [taylor]: Taking taylor expansion of y in y 0.858 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.858 * [taylor]: Taking taylor expansion of x in y 0.858 * [taylor]: Taking taylor expansion of y in y 0.860 * [taylor]: Taking taylor expansion of (/ 2.0 (* (+ (/ 1 y) (/ 1 x)) y)) in y 0.860 * [taylor]: Taking taylor expansion of 2.0 in y 0.860 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 0.860 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.860 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.860 * [taylor]: Taking taylor expansion of y in y 0.860 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.860 * [taylor]: Taking taylor expansion of x in y 0.860 * [taylor]: Taking taylor expansion of y in y 0.861 * [taylor]: Taking taylor expansion of 2.0 in x 0.863 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 x))) in x 0.863 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.863 * [taylor]: Taking taylor expansion of 2.0 in x 0.863 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.863 * [taylor]: Taking taylor expansion of x in x 0.866 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow x 2))) in x 0.867 * [taylor]: Taking taylor expansion of 2.0 in x 0.867 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.867 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.867 * [taylor]: Taking taylor expansion of x in x 0.871 * [approximate]: Taking taylor expansion of (/ 2.0 (* (+ (/ 1 y) (/ 1 x)) y)) in (y x) around 0 0.871 * [taylor]: Taking taylor expansion of (/ 2.0 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.871 * [taylor]: Taking taylor expansion of 2.0 in x 0.871 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.871 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.871 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.871 * [taylor]: Taking taylor expansion of y in x 0.871 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.871 * [taylor]: Taking taylor expansion of x in x 0.872 * [taylor]: Taking taylor expansion of y in x 0.872 * [taylor]: Taking taylor expansion of (/ 2.0 (* (+ (/ 1 y) (/ 1 x)) y)) in y 0.872 * [taylor]: Taking taylor expansion of 2.0 in y 0.872 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 0.872 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.872 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.872 * [taylor]: Taking taylor expansion of y in y 0.872 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.872 * [taylor]: Taking taylor expansion of x in y 0.872 * [taylor]: Taking taylor expansion of y in y 0.874 * [taylor]: Taking taylor expansion of (/ 2.0 (* (+ (/ 1 y) (/ 1 x)) y)) in y 0.874 * [taylor]: Taking taylor expansion of 2.0 in y 0.874 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 0.874 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.874 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.874 * [taylor]: Taking taylor expansion of y in y 0.874 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.874 * [taylor]: Taking taylor expansion of x in y 0.874 * [taylor]: Taking taylor expansion of y in y 0.875 * [taylor]: Taking taylor expansion of 2.0 in x 0.877 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 x))) in x 0.877 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.877 * [taylor]: Taking taylor expansion of 2.0 in x 0.877 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.877 * [taylor]: Taking taylor expansion of x in x 0.881 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow x 2))) in x 0.881 * [taylor]: Taking taylor expansion of 2.0 in x 0.881 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.881 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.881 * [taylor]: Taking taylor expansion of x in x 0.886 * * * [progress]: simplifying candidates 0.902 * [simplify]: Simplifying using # : (- (- (log x)) (- (log y) (- (log (+ x y)) (log 2.0)))) (- (- (log x)) (- (log y) (log (/ (+ x y) 2.0)))) (- (- (log x)) (log (/ y 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2.0)))) (/ y (/ (sqrt (+ x y)) (cbrt 2.0))) (/ 1 (/ (sqrt (+ x y)) (sqrt 2.0))) (/ y (/ (sqrt (+ x y)) (sqrt 2.0))) (/ 1 (sqrt (+ x y))) (/ y (/ (sqrt (+ x y)) 2.0)) (* (cbrt 2.0) (cbrt 2.0)) (/ y (/ (+ x y) (cbrt 2.0))) (sqrt 2.0) (/ y (/ (+ x y) (sqrt 2.0))) 1 (/ y (/ (+ x y) 2.0)) (* (cbrt 2.0) (cbrt 2.0)) (/ y (/ (+ x y) (cbrt 2.0))) (sqrt 2.0) (/ y (/ (+ x y) (sqrt 2.0))) 1 (/ y (/ (+ x y) 2.0)) 1 (/ y (/ (+ x y) 2.0)) (/ 1 (+ x y)) (* y 2.0) (/ 1 (/ (+ x y) 2.0)) (/ (/ (+ x y) 2.0) y) (/ y (* (cbrt (/ (+ x y) 2.0)) (cbrt (/ (+ x y) 2.0)))) (/ y (sqrt (/ (+ x y) 2.0))) (/ y (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt 2.0) (cbrt 2.0)))) (/ y (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt 2.0))) (/ y (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ y (/ (sqrt (+ x y)) (* (cbrt 2.0) (cbrt 2.0)))) (/ y (/ (sqrt (+ x y)) (sqrt 2.0))) (/ y (sqrt (+ x y))) (* y (* (cbrt 2.0) (cbrt 2.0))) (* y (sqrt 2.0)) y (* y (* (cbrt 2.0) (cbrt 2.0))) (* y (sqrt 2.0)) y y (/ y (+ x y)) (/ (/ (+ x y) 2.0) (cbrt y)) (/ (/ (+ x y) 2.0) (sqrt y)) (/ (/ (+ x y) 2.0) y) (/ y (+ x y)) (* 0.5 (+ (/ 1 y) (/ 1 x))) (* 0.5 (+ (/ 1 y) (/ 1 x))) (* 0.5 (+ (/ 1 y) (/ 1 x))) 0 0 0 1.051 * * * [progress]: adding candidates to table 2.336 * [progress]: [Phase 3 of 3] Extracting. 2.336 * * [regime]: Finding splitpoints for: (# # #) 2.336 * * * [regime-changes]: Trying 2 branch expressions: (y x) 2.336 * * * * [regimes]: Trying to branch on y from (# # #) 2.348 * * * * [regimes]: Trying to branch on x from (# # #) 2.361 * * * [regime]: Found split indices: #