12.292 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.010 * * * [progress]: [2/2] Setting up program. 0.012 * [progress]: [Phase 2 of 3] Improving. 0.012 * [simplify]: Simplifying using # : (/ x (+ y x)) 0.014 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.015 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 0.015 * [simplify]: Simplified to: (/ x (+ y x)) 0.016 * * [progress]: iteration 1 / 4 0.016 * * * [progress]: picking best candidate 0.017 * * * * [pick]: Picked # 0.017 * * * [progress]: localizing error 0.020 * * * [progress]: generating rewritten candidates 0.020 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.026 * * * [progress]: generating series expansions 0.026 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.026 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.026 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.026 * [taylor]: Taking taylor expansion of x in y 0.026 * [taylor]: Taking taylor expansion of (+ x y) in y 0.026 * [taylor]: Taking taylor expansion of x in y 0.026 * [taylor]: Taking taylor expansion of y in y 0.026 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.026 * [taylor]: Taking taylor expansion of x in x 0.026 * [taylor]: Taking taylor expansion of (+ x y) in x 0.026 * [taylor]: Taking taylor expansion of x in x 0.026 * [taylor]: Taking taylor expansion of y in x 0.026 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.026 * [taylor]: Taking taylor expansion of x in x 0.026 * [taylor]: Taking taylor expansion of (+ x y) in x 0.026 * [taylor]: Taking taylor expansion of x in x 0.026 * [taylor]: Taking taylor expansion of y in x 0.026 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.026 * [taylor]: Taking taylor expansion of y in y 0.027 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.028 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.028 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.028 * [taylor]: Taking taylor expansion of y in y 0.031 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.031 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.031 * [taylor]: Taking taylor expansion of y in y 0.037 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.037 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.037 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.037 * [taylor]: Taking taylor expansion of x in y 0.037 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.037 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.037 * [taylor]: Taking taylor expansion of y in y 0.037 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.038 * [taylor]: Taking taylor expansion of x in y 0.038 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.038 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.038 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.038 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.038 * [taylor]: Taking taylor expansion of y in x 0.038 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.040 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of 1 in y 0.043 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.043 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.046 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.050 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.050 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.050 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.050 * [taylor]: Taking taylor expansion of x in y 0.050 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.050 * [taylor]: Taking taylor expansion of x in y 0.051 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.051 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.052 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.052 * [taylor]: Taking taylor expansion of y in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of 1 in y 0.055 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.056 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.059 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.063 * * * [progress]: simplifying candidates 0.063 * [simplify]: Simplifying using # : (expm1 (/ x (+ y x))) (log1p (/ x (+ y x))) (- (log x) (log (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (/ (* (* x x) x) (* (* (+ y x) (+ y x)) (+ y x))) (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) (cbrt (/ x (+ y x))) (* (* (/ x (+ y x)) (/ x (+ y x))) (/ x (+ y x))) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (- x) (- (+ y x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (/ 1 1) (/ x (+ y x)) (/ 1 1) (/ x (+ y x)) (/ 1 (+ y x)) (/ (+ y x) x) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) (/ x 1) (/ x 1) (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ y x) x) (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) 0 0 0 0.067 * * [simplify]: iteration 0 : 121 enodes (cost 159 ) 0.069 * * [simplify]: iteration 1 : 391 enodes (cost 150 ) 0.075 * * [simplify]: iteration 2 : 1069 enodes (cost 150 ) 0.093 * * [simplify]: iteration 3 : 3853 enodes (cost 150 ) 0.140 * * [simplify]: iteration 4 : 5001 enodes (cost 150 ) 0.141 * [simplify]: Simplified to: (expm1 (/ x (+ y x))) (log1p (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (pow (/ x (+ y x)) 3) (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) (cbrt (/ x (+ y x))) (pow (/ x (+ y x)) 3) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (- x) (- (+ y x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (sqrt x) (/ (sqrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ y x)) (/ (+ y x) x) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ y x) x) (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) 0 0 0 0.141 * * * [progress]: adding candidates to table 0.187 * * [progress]: iteration 2 / 4 0.187 * * * [progress]: picking best candidate 0.190 * * * * [pick]: Picked # 0.190 * * * [progress]: localizing error 0.200 * * * [progress]: generating rewritten candidates 0.201 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 0.210 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.211 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 0.215 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.219 * * * [progress]: generating series expansions 0.219 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 0.219 * [approximate]: Taking taylor expansion of (pow (pow (+ x y) 2) 1/3) in (y x) around 0 0.219 * [taylor]: Taking taylor expansion of (pow (pow (+ x y) 2) 1/3) in x 0.219 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ x y) 2)))) in x 0.219 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ x y) 2))) in x 0.219 * [taylor]: Taking taylor expansion of 1/3 in x 0.219 * [taylor]: Taking taylor expansion of (log (pow (+ x y) 2)) in x 0.219 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.219 * [taylor]: Taking taylor expansion of (+ x y) in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.219 * [taylor]: Taking taylor expansion of y in x 0.219 * [taylor]: Taking taylor expansion of (pow (pow (+ x y) 2) 1/3) in y 0.219 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ x y) 2)))) in y 0.219 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ x y) 2))) in y 0.219 * [taylor]: Taking taylor expansion of 1/3 in y 0.219 * [taylor]: Taking taylor expansion of (log (pow (+ x y) 2)) in y 0.219 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.219 * [taylor]: Taking taylor expansion of (+ x y) in y 0.219 * [taylor]: Taking taylor expansion of x in y 0.219 * [taylor]: Taking taylor expansion of y in y 0.220 * [taylor]: Taking taylor expansion of (pow (pow (+ x y) 2) 1/3) in y 0.220 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ x y) 2)))) in y 0.220 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ x y) 2))) in y 0.220 * [taylor]: Taking taylor expansion of 1/3 in y 0.220 * [taylor]: Taking taylor expansion of (log (pow (+ x y) 2)) in y 0.220 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.220 * [taylor]: Taking taylor expansion of (+ x y) in y 0.220 * [taylor]: Taking taylor expansion of x in y 0.220 * [taylor]: Taking taylor expansion of y in y 0.220 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 0.220 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 0.220 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 0.220 * [taylor]: Taking taylor expansion of 1/3 in x 0.220 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 0.220 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of (* 2/3 (pow (/ 1 x) 1/3)) in x 0.222 * [taylor]: Taking taylor expansion of 2/3 in x 0.222 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.222 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.222 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.222 * [taylor]: Taking taylor expansion of 1/3 in x 0.222 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.222 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of (* -1/9 (pow (/ 1 (pow x 4)) 1/3)) in x 0.227 * [taylor]: Taking taylor expansion of -1/9 in x 0.227 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 4)) 1/3) in x 0.227 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 4))))) in x 0.227 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 4)))) in x 0.227 * [taylor]: Taking taylor expansion of 1/3 in x 0.227 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 4))) in x 0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.227 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.229 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 y) (/ 1 x)) 2) 1/3) in (y x) around 0 0.229 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 y) (/ 1 x)) 2) 1/3) in x 0.229 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 y) (/ 1 x)) 2)))) in x 0.229 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 y) (/ 1 x)) 2))) in x 0.229 * [taylor]: Taking taylor expansion of 1/3 in x 0.229 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 y) (/ 1 x)) 2)) in x 0.229 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.229 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.229 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.229 * [taylor]: Taking taylor expansion of y in x 0.229 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.229 * [taylor]: Taking taylor expansion of x in x 0.231 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 y) (/ 1 x)) 2) 1/3) in y 0.231 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 y) (/ 1 x)) 2)))) in y 0.231 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 y) (/ 1 x)) 2))) in y 0.231 * [taylor]: Taking taylor expansion of 1/3 in y 0.231 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 y) (/ 1 x)) 2)) in y 0.231 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.231 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.231 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.231 * [taylor]: Taking taylor expansion of y in y 0.231 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.231 * [taylor]: Taking taylor expansion of x in y 0.232 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 y) (/ 1 x)) 2) 1/3) in y 0.232 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 y) (/ 1 x)) 2)))) in y 0.232 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 y) (/ 1 x)) 2))) in y 0.232 * [taylor]: Taking taylor expansion of 1/3 in y 0.232 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 y) (/ 1 x)) 2)) in y 0.232 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.232 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.232 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.232 * [taylor]: Taking taylor expansion of y in y 0.233 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.233 * [taylor]: Taking taylor expansion of x in y 0.234 * [taylor]: Taking taylor expansion of (pow y -2/3) in x 0.234 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log y))) in x 0.234 * [taylor]: Taking taylor expansion of (* -2/3 (log y)) in x 0.234 * [taylor]: Taking taylor expansion of -2/3 in x 0.234 * [taylor]: Taking taylor expansion of (log y) in x 0.234 * [taylor]: Taking taylor expansion of y in x 0.235 * [taylor]: Taking taylor expansion of (* 2/3 (* (/ 1 x) (pow (/ 1 (pow y 2)) 1/3))) in x 0.235 * [taylor]: Taking taylor expansion of 2/3 in x 0.235 * [taylor]: Taking taylor expansion of (* (/ 1 x) (pow (/ 1 (pow y 2)) 1/3)) in x 0.235 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.235 * [taylor]: Taking taylor expansion of x in x 0.236 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in x 0.236 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in x 0.236 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in x 0.236 * [taylor]: Taking taylor expansion of 1/3 in x 0.236 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in x 0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.236 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.236 * [taylor]: Taking taylor expansion of y in x 0.243 * [taylor]: Taking taylor expansion of (* -1/9 (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 2)) 1/3))) in x 0.243 * [taylor]: Taking taylor expansion of -1/9 in x 0.243 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 2)) 1/3)) in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.243 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in x 0.244 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in x 0.244 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in x 0.244 * [taylor]: Taking taylor expansion of 1/3 in x 0.244 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.244 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.244 * [taylor]: Taking taylor expansion of y in x 0.263 * [taylor]: Taking taylor expansion of (* 4/81 (* (/ 1 (pow x 3)) (pow (/ 1 (pow y 2)) 1/3))) in x 0.263 * [taylor]: Taking taylor expansion of 4/81 in x 0.263 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 3)) (pow (/ 1 (pow y 2)) 1/3)) in x 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.263 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.264 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in x 0.264 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in x 0.264 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in x 0.264 * [taylor]: Taking taylor expansion of 1/3 in x 0.264 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in x 0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.264 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.264 * [taylor]: Taking taylor expansion of y in x 0.281 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (pow (+ (/ 1 y) (/ 1 x)) 2) 1/3)) in (y x) around 0 0.281 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (pow (+ (/ 1 y) (/ 1 x)) 2) 1/3)) in x 0.281 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 0.281 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.281 * [taylor]: Taking taylor expansion of -1 in x 0.281 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 y) (/ 1 x)) 2) 1/3) in x 0.281 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 y) (/ 1 x)) 2)))) in x 0.281 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 y) (/ 1 x)) 2))) in x 0.281 * [taylor]: Taking taylor expansion of 1/3 in x 0.281 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 y) (/ 1 x)) 2)) in x 0.282 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.282 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.282 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.282 * [taylor]: Taking taylor expansion of y in x 0.282 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.283 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (pow (+ (/ 1 y) (/ 1 x)) 2) 1/3)) in y 0.283 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in y 0.283 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.283 * [taylor]: Taking taylor expansion of -1 in y 0.284 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 y) (/ 1 x)) 2) 1/3) in y 0.284 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 y) (/ 1 x)) 2)))) in y 0.284 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 y) (/ 1 x)) 2))) in y 0.284 * [taylor]: Taking taylor expansion of 1/3 in y 0.284 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 y) (/ 1 x)) 2)) in y 0.284 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.284 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.284 * [taylor]: Taking taylor expansion of y in y 0.284 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.284 * [taylor]: Taking taylor expansion of x in y 0.285 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (pow (+ (/ 1 y) (/ 1 x)) 2) 1/3)) in y 0.285 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in y 0.285 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.285 * [taylor]: Taking taylor expansion of -1 in y 0.286 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 y) (/ 1 x)) 2) 1/3) in y 0.286 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 y) (/ 1 x)) 2)))) in y 0.286 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 y) (/ 1 x)) 2))) in y 0.286 * [taylor]: Taking taylor expansion of 1/3 in y 0.286 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 y) (/ 1 x)) 2)) in y 0.286 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.286 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.286 * [taylor]: Taking taylor expansion of y in y 0.286 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.286 * [taylor]: Taking taylor expansion of x in y 0.289 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow y 2)) 1/3)) in x 0.289 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 0.289 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.289 * [taylor]: Taking taylor expansion of -1 in x 0.290 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in x 0.290 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in x 0.290 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in x 0.290 * [taylor]: Taking taylor expansion of 1/3 in x 0.290 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.290 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.290 * [taylor]: Taking taylor expansion of y in x 0.296 * [taylor]: Taking taylor expansion of (* 2/3 (* (/ (pow (cbrt -1) 2) x) (pow (/ 1 (pow y 2)) 1/3))) in x 0.296 * [taylor]: Taking taylor expansion of 2/3 in x 0.296 * [taylor]: Taking taylor expansion of (* (/ (pow (cbrt -1) 2) x) (pow (/ 1 (pow y 2)) 1/3)) in x 0.296 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) x) in x 0.296 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 0.296 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.296 * [taylor]: Taking taylor expansion of -1 in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.298 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in x 0.298 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in x 0.298 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in x 0.298 * [taylor]: Taking taylor expansion of 1/3 in x 0.298 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in x 0.298 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.298 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.298 * [taylor]: Taking taylor expansion of y in x 0.315 * [taylor]: Taking taylor expansion of (- (* 1/9 (* (/ (pow (cbrt -1) 2) (pow x 2)) (pow (/ 1 (pow y 2)) 1/3)))) in x 0.315 * [taylor]: Taking taylor expansion of (* 1/9 (* (/ (pow (cbrt -1) 2) (pow x 2)) (pow (/ 1 (pow y 2)) 1/3))) in x 0.315 * [taylor]: Taking taylor expansion of 1/9 in x 0.315 * [taylor]: Taking taylor expansion of (* (/ (pow (cbrt -1) 2) (pow x 2)) (pow (/ 1 (pow y 2)) 1/3)) in x 0.315 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) (pow x 2)) in x 0.315 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 0.315 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.315 * [taylor]: Taking taylor expansion of -1 in x 0.316 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in x 0.318 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in x 0.318 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in x 0.318 * [taylor]: Taking taylor expansion of 1/3 in x 0.318 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in x 0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.318 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.318 * [taylor]: Taking taylor expansion of y in x 0.349 * [taylor]: Taking taylor expansion of (* 4/81 (* (/ (pow (cbrt -1) 2) (pow x 3)) (pow (/ 1 (pow y 2)) 1/3))) in x 0.349 * [taylor]: Taking taylor expansion of 4/81 in x 0.350 * [taylor]: Taking taylor expansion of (* (/ (pow (cbrt -1) 2) (pow x 3)) (pow (/ 1 (pow y 2)) 1/3)) in x 0.350 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) (pow x 3)) in x 0.350 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 0.350 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.350 * [taylor]: Taking taylor expansion of -1 in x 0.350 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.353 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in x 0.353 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in x 0.353 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in x 0.353 * [taylor]: Taking taylor expansion of 1/3 in x 0.353 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in x 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.353 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.353 * [taylor]: Taking taylor expansion of y in x 0.375 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.375 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.375 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.375 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.375 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.375 * [taylor]: Taking taylor expansion of 1/3 in x 0.375 * [taylor]: Taking taylor expansion of (log x) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.376 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.376 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.376 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.376 * [taylor]: Taking taylor expansion of 1/3 in x 0.376 * [taylor]: Taking taylor expansion of (log x) in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.426 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.426 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.426 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.426 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.426 * [taylor]: Taking taylor expansion of 1/3 in x 0.426 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.426 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.427 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.427 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.427 * [taylor]: Taking taylor expansion of 1/3 in x 0.427 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.427 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.480 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.480 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.480 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.480 * [taylor]: Taking taylor expansion of -1 in x 0.481 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.481 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.481 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.481 * [taylor]: Taking taylor expansion of 1/3 in x 0.481 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.481 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.482 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.482 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.482 * [taylor]: Taking taylor expansion of -1 in x 0.483 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.483 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.483 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.483 * [taylor]: Taking taylor expansion of 1/3 in x 0.483 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.483 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.546 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 0.546 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.547 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.547 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.547 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.547 * [taylor]: Taking taylor expansion of 1/3 in x 0.547 * [taylor]: Taking taylor expansion of (log x) in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.548 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.548 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.548 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.548 * [taylor]: Taking taylor expansion of 1/3 in x 0.548 * [taylor]: Taking taylor expansion of (log x) in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.595 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.595 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.595 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.595 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.595 * [taylor]: Taking taylor expansion of 1/3 in x 0.595 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.595 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.595 * [taylor]: Taking taylor expansion of x in x 0.596 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.596 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.596 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.596 * [taylor]: Taking taylor expansion of 1/3 in x 0.596 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.596 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.596 * [taylor]: Taking taylor expansion of x in x 0.649 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.649 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.649 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.649 * [taylor]: Taking taylor expansion of -1 in x 0.650 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.650 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.650 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.650 * [taylor]: Taking taylor expansion of 1/3 in x 0.650 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.650 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.650 * [taylor]: Taking taylor expansion of x in x 0.651 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.651 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.651 * [taylor]: Taking taylor expansion of -1 in x 0.652 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.652 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.652 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.652 * [taylor]: Taking taylor expansion of 1/3 in x 0.652 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.652 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.652 * [taylor]: Taking taylor expansion of x in x 0.715 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.715 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.715 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.715 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.715 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.715 * [taylor]: Taking taylor expansion of 1/3 in x 0.715 * [taylor]: Taking taylor expansion of (log x) in x 0.715 * [taylor]: Taking taylor expansion of x in x 0.715 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.716 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.716 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.716 * [taylor]: Taking taylor expansion of 1/3 in x 0.716 * [taylor]: Taking taylor expansion of (log x) in x 0.716 * [taylor]: Taking taylor expansion of x in x 0.765 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.765 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.765 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.765 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.765 * [taylor]: Taking taylor expansion of 1/3 in x 0.765 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.765 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.765 * [taylor]: Taking taylor expansion of x in x 0.766 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.766 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.766 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.766 * [taylor]: Taking taylor expansion of 1/3 in x 0.766 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.766 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.766 * [taylor]: Taking taylor expansion of x in x 0.819 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.819 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.819 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.819 * [taylor]: Taking taylor expansion of -1 in x 0.820 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.820 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.820 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.820 * [taylor]: Taking taylor expansion of 1/3 in x 0.820 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.820 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.820 * [taylor]: Taking taylor expansion of x in x 0.821 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.821 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.821 * [taylor]: Taking taylor expansion of -1 in x 0.821 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.821 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.821 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.821 * [taylor]: Taking taylor expansion of 1/3 in x 0.821 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.821 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.821 * [taylor]: Taking taylor expansion of x in x 0.886 * * * [progress]: simplifying candidates 0.888 * [simplify]: Simplifying using # : (expm1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (log1p (* (cbrt (+ y x)) (cbrt (+ y x)))) (+ 1/3 1/3) (+ 1 1) (* (+ y x) (+ y x)) (* (cbrt (+ y x)) (cbrt (+ y x))) (+ 1 1) (+ (log (cbrt (+ y x))) (log (cbrt (+ y x)))) (log (* (cbrt (+ y x)) (cbrt (+ y x)))) (exp (* (cbrt (+ y x)) (cbrt (+ y x)))) (* (+ y x) (+ y x)) (* (cbrt (* (cbrt (+ y x)) (cbrt (+ y x)))) (cbrt (* (cbrt (+ y x)) (cbrt (+ y x))))) (cbrt (* (cbrt (+ y x)) (cbrt (+ y x)))) (* (* (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt (+ y x)) (cbrt (+ y x)))) (* (cbrt (+ y x)) (cbrt (+ y x)))) (sqrt (* (cbrt (+ y x)) (cbrt (+ y x)))) (sqrt (* (cbrt (+ y x)) (cbrt (+ y x)))) (* (cbrt (+ (pow y 3) (pow x 3))) (cbrt (+ (pow y 3) (pow x 3)))) (* (cbrt (+ (* y y) (- (* x x) (* y x)))) (cbrt (+ (* y y) (- (* x x) (* y x))))) (* (cbrt (+ (pow y 3) (pow x 3))) (cbrt (- (* y y) (* x x)))) (* (cbrt (+ (* y y) (- (* x x) (* y x)))) (cbrt (- y x))) (* (cbrt (- (* y y) (* x x))) (cbrt (+ (pow y 3) (pow x 3)))) (* (cbrt (- y x)) (cbrt (+ (* y y) (- (* x x) (* y x))))) (* (cbrt (- (* y y) (* x x))) (cbrt (- (* y y) (* x x)))) (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (* (cbrt (+ y x)) (cbrt (+ y x)))) (cbrt (* (cbrt (+ y x)) (cbrt (+ y x))))) (* (cbrt (cbrt (+ y x))) (cbrt (cbrt (+ y x)))) (* (cbrt (sqrt (+ y x))) (cbrt (sqrt (+ y x)))) (* (cbrt (sqrt (+ y x))) (cbrt (sqrt (+ y x)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ y x)) (cbrt (+ y x))) (* (* (cbrt (cbrt (+ y x))) (cbrt (cbrt (+ y x)))) (* (cbrt (cbrt (+ y x))) (cbrt (cbrt (+ y x))))) (* (cbrt (cbrt (+ y x))) (cbrt (cbrt (+ y x)))) (* (sqrt (cbrt (+ y x))) (sqrt (cbrt (+ y x)))) (* (sqrt (cbrt (+ y x))) (sqrt (cbrt (+ y x)))) (* 1 1) (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt (sqrt (+ y x))) (cbrt (sqrt (+ y x)))) (* (cbrt (sqrt (+ y x))) (cbrt (sqrt (+ y x)))) (* (cbrt (sqrt (+ y x))) (sqrt (cbrt (+ y x)))) (* (cbrt (sqrt (+ y x))) (sqrt (cbrt (+ y x)))) (* (sqrt (cbrt (+ y x))) (cbrt (sqrt (+ y x)))) (* (sqrt (cbrt (+ y x))) (cbrt (sqrt (+ y x)))) (* (sqrt (cbrt (+ y x))) (sqrt (cbrt (+ y x)))) (* (sqrt (cbrt (+ y x))) (sqrt (cbrt (+ y x)))) (* 2 1/3) (* 2 1) (* (cbrt (+ y x)) (cbrt (* (cbrt (+ y x)) (cbrt (+ y x))))) (* (cbrt (+ y x)) (cbrt (sqrt (+ y x)))) (* (cbrt (+ y x)) (cbrt 1)) (* (cbrt (+ y x)) (cbrt 1)) (* (cbrt (+ y x)) (* (cbrt (cbrt (+ y x))) (cbrt (cbrt (+ y x))))) (* (cbrt (+ y x)) (sqrt (cbrt (+ y x)))) (* (cbrt (+ y x)) 1) (* (cbrt (cbrt (+ y x))) (cbrt (+ y x))) (* (cbrt (sqrt (+ y x))) (cbrt (+ y x))) (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt (cbrt (+ y x))) (cbrt (+ y x))) (* (sqrt (cbrt (+ y x))) (cbrt (+ y x))) (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt (+ y x)) (cbrt (+ (pow y 3) (pow x 3)))) (* (cbrt (+ y x)) (cbrt (- (* y y) (* x x)))) (* (cbrt (+ (pow y 3) (pow x 3))) (cbrt (+ y x))) (* (cbrt (- (* y y) (* x x))) (cbrt (+ y x))) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (- (+ (pow x 2/3) (* 2/3 (* (pow (/ 1 x) 1/3) y))) (* 1/9 (* (pow (/ 1 (pow x 4)) 1/3) (pow y 2)))) (pow (/ 1 y) -2/3) (* (pow (cbrt -1) 2) (pow (pow y 2) 1/3)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) 0.893 * * [simplify]: iteration 0 : 227 enodes (cost 551 ) 0.898 * * [simplify]: iteration 1 : 781 enodes (cost 520 ) 0.915 * * [simplify]: iteration 2 : 3591 enodes (cost 472 ) 0.995 * * [simplify]: iteration 3 : 5002 enodes (cost 467 ) 0.998 * [simplify]: Simplified to: (expm1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (log1p (* (cbrt (+ y x)) (cbrt (+ y x)))) 2/3 2 (pow (cbrt (+ y x)) 6) (pow (sqrt (cbrt (+ y x))) 4) 2 (* 2 (log (cbrt (+ y x)))) (* 2 (log (cbrt (+ y x)))) (exp (* (cbrt (+ y x)) (cbrt (+ y x)))) (pow (cbrt (+ y x)) 6) (* (cbrt (* (cbrt (+ y x)) (cbrt (+ y x)))) (cbrt (* (cbrt (+ y x)) (cbrt (+ y x))))) (cbrt (* (cbrt (+ y x)) (cbrt (+ y x)))) (pow (cbrt (+ y x)) 6) (fabs (cbrt (+ y x))) (fabs (cbrt (+ y x))) (* (cbrt (+ (pow y 3) (pow x 3))) (cbrt (+ (pow y 3) (pow x 3)))) (* (cbrt (+ (* y y) (- (* x x) (* y x)))) (cbrt (+ (* y y) (- (* x x) (* y x))))) (* (cbrt (+ (pow y 3) (pow x 3))) (cbrt (- (* y y) (* x x)))) (* (cbrt (+ (* y y) (- (* x x) (* y x)))) (cbrt (- y x))) (* (cbrt (+ (pow y 3) (pow x 3))) (cbrt (- (* y y) (* x x)))) (* (cbrt (+ (* y y) (- (* x x) (* y x)))) (cbrt (- y x))) (* (cbrt (- (* y y) (* x x))) (cbrt (- (* y y) (* x x)))) (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (* (cbrt (+ y x)) (cbrt (+ y x)))) (cbrt (* (cbrt (+ y x)) (cbrt (+ y x))))) (* (cbrt (cbrt (+ y x))) (cbrt (cbrt (+ y x)))) (* (cbrt (sqrt (+ y x))) (cbrt (sqrt (+ y x)))) (* (cbrt (sqrt (+ y x))) (cbrt (sqrt (+ y x)))) 1 (pow (sqrt (cbrt (+ y x))) 4) 1 (pow (sqrt (cbrt (+ y x))) 4) 1 (pow (sqrt (cbrt (+ y x))) 4) 1 (pow (sqrt (cbrt (+ y x))) 4) (pow (cbrt (cbrt (+ y x))) 4) (* (cbrt (cbrt (+ y x))) (cbrt (cbrt (+ y x)))) (cbrt (+ y x)) (cbrt (+ y x)) 1 (pow (sqrt (cbrt (+ y x))) 4) (* (cbrt (sqrt (+ y x))) (cbrt (sqrt (+ y x)))) (* (cbrt (sqrt (+ y x))) (cbrt (sqrt (+ y x)))) (* (cbrt (sqrt (+ y x))) (sqrt (cbrt (+ y x)))) (* (cbrt (sqrt (+ y x))) (sqrt (cbrt (+ y x)))) (* (cbrt (sqrt (+ y x))) (sqrt (cbrt (+ y x)))) (* (cbrt (sqrt (+ y x))) (sqrt (cbrt (+ y x)))) (cbrt (+ y x)) (cbrt (+ y x)) 2/3 2 (* (cbrt (+ y x)) (cbrt (* (cbrt (+ y x)) (cbrt (+ y x))))) (* (cbrt (+ y x)) (cbrt (sqrt (+ y x)))) (cbrt (+ y x)) (cbrt (+ y x)) (pow (cbrt (cbrt (+ y x))) 5) (pow (sqrt (cbrt (+ y x))) 3) (cbrt (+ y x)) (pow (cbrt (cbrt (+ y x))) 4) (* (cbrt (+ y x)) (cbrt (sqrt (+ y x)))) (pow (sqrt (cbrt (+ y x))) 4) (pow (sqrt (cbrt (+ y x))) 4) (pow (cbrt (cbrt (+ y x))) 4) (pow (sqrt (cbrt (+ y x))) 3) (pow (sqrt (cbrt (+ y x))) 4) (* (cbrt (+ y x)) (cbrt (+ (pow y 3) (pow x 3)))) (* (cbrt (+ y x)) (cbrt (- (* y y) (* x x)))) (* (cbrt (+ y x)) (cbrt (+ (pow y 3) (pow x 3)))) (* (cbrt (+ y x)) (cbrt (- (* y y) (* x x)))) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (fma y (- (* 2/3 (pow (/ 1 x) 1/3)) (* (* 1/9 (pow (/ 1 (pow x 4)) 1/3)) y)) (pow x 2/3)) (pow (/ 1 y) -2/3) (* (pow (cbrt -1) 2) (pow (pow y 2) 1/3)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) 0.999 * * * [progress]: adding candidates to table 1.200 * * [progress]: iteration 3 / 4 1.200 * * * [progress]: picking best candidate 1.201 * * * * [pick]: Picked # 1.202 * * * [progress]: localizing error 1.207 * * * [progress]: generating rewritten candidates 1.207 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.212 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.217 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.237 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.254 * * * [progress]: generating series expansions 1.254 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.254 * [approximate]: Taking taylor expansion of (sqrt (/ x (+ x y))) in (x y) around 0 1.254 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in y 1.254 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 1.254 * [taylor]: Taking taylor expansion of x in y 1.254 * [taylor]: Taking taylor expansion of (+ x y) in y 1.254 * [taylor]: Taking taylor expansion of x in y 1.254 * [taylor]: Taking taylor expansion of y in y 1.256 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 1.256 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.256 * [taylor]: Taking taylor expansion of x in x 1.256 * [taylor]: Taking taylor expansion of (+ x y) in x 1.256 * [taylor]: Taking taylor expansion of x in x 1.256 * [taylor]: Taking taylor expansion of y in x 1.257 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 1.257 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.257 * [taylor]: Taking taylor expansion of x in x 1.257 * [taylor]: Taking taylor expansion of (+ x y) in x 1.257 * [taylor]: Taking taylor expansion of x in x 1.257 * [taylor]: Taking taylor expansion of y in x 1.257 * [taylor]: Taking taylor expansion of 0 in y 1.257 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 1.257 * [taylor]: Taking taylor expansion of +nan.0 in y 1.257 * [taylor]: Taking taylor expansion of y in y 1.259 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow y 2)) in y 1.259 * [taylor]: Taking taylor expansion of +nan.0 in y 1.259 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.259 * [taylor]: Taking taylor expansion of y in y 1.262 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 1.262 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 1.262 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.262 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.262 * [taylor]: Taking taylor expansion of x in y 1.262 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.262 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.262 * [taylor]: Taking taylor expansion of y in y 1.262 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.262 * [taylor]: Taking taylor expansion of x in y 1.263 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.263 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.263 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.263 * [taylor]: Taking taylor expansion of x in x 1.263 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.263 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.263 * [taylor]: Taking taylor expansion of y in x 1.263 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.264 * [taylor]: Taking taylor expansion of x in x 1.267 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.267 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.267 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.267 * [taylor]: Taking taylor expansion of x in x 1.267 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.267 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.267 * [taylor]: Taking taylor expansion of y in x 1.267 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.267 * [taylor]: Taking taylor expansion of x in x 1.271 * [taylor]: Taking taylor expansion of 1 in y 1.271 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 1.271 * [taylor]: Taking taylor expansion of -1/2 in y 1.271 * [taylor]: Taking taylor expansion of y in y 1.274 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 1.274 * [taylor]: Taking taylor expansion of 3/8 in y 1.274 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.274 * [taylor]: Taking taylor expansion of y in y 1.279 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 1.280 * [taylor]: Taking taylor expansion of -5/16 in y 1.280 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.280 * [taylor]: Taking taylor expansion of y in y 1.284 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 1.284 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 1.284 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.284 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.284 * [taylor]: Taking taylor expansion of x in y 1.284 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.284 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.284 * [taylor]: Taking taylor expansion of y in y 1.285 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.285 * [taylor]: Taking taylor expansion of x in y 1.286 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.286 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.286 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.286 * [taylor]: Taking taylor expansion of x in x 1.286 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.286 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.286 * [taylor]: Taking taylor expansion of y in x 1.286 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.286 * [taylor]: Taking taylor expansion of x in x 1.289 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.289 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.289 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.289 * [taylor]: Taking taylor expansion of x in x 1.289 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.289 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.289 * [taylor]: Taking taylor expansion of y in x 1.289 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.289 * [taylor]: Taking taylor expansion of x in x 1.293 * [taylor]: Taking taylor expansion of 1 in y 1.293 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 1.293 * [taylor]: Taking taylor expansion of -1/2 in y 1.293 * [taylor]: Taking taylor expansion of y in y 1.296 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 1.296 * [taylor]: Taking taylor expansion of 3/8 in y 1.296 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.296 * [taylor]: Taking taylor expansion of y in y 1.302 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 1.302 * [taylor]: Taking taylor expansion of -5/16 in y 1.302 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.302 * [taylor]: Taking taylor expansion of y in y 1.307 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.307 * [approximate]: Taking taylor expansion of (sqrt (/ x (+ x y))) in (x y) around 0 1.307 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in y 1.307 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 1.307 * [taylor]: Taking taylor expansion of x in y 1.307 * [taylor]: Taking taylor expansion of (+ x y) in y 1.307 * [taylor]: Taking taylor expansion of x in y 1.307 * [taylor]: Taking taylor expansion of y in y 1.308 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 1.308 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.308 * [taylor]: Taking taylor expansion of x in x 1.308 * [taylor]: Taking taylor expansion of (+ x y) in x 1.308 * [taylor]: Taking taylor expansion of x in x 1.308 * [taylor]: Taking taylor expansion of y in x 1.309 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 1.309 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.309 * [taylor]: Taking taylor expansion of x in x 1.309 * [taylor]: Taking taylor expansion of (+ x y) in x 1.309 * [taylor]: Taking taylor expansion of x in x 1.309 * [taylor]: Taking taylor expansion of y in x 1.309 * [taylor]: Taking taylor expansion of 0 in y 1.309 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 1.309 * [taylor]: Taking taylor expansion of +nan.0 in y 1.309 * [taylor]: Taking taylor expansion of y in y 1.311 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow y 2)) in y 1.311 * [taylor]: Taking taylor expansion of +nan.0 in y 1.311 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.311 * [taylor]: Taking taylor expansion of y in y 1.314 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 1.314 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 1.314 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.314 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.314 * [taylor]: Taking taylor expansion of x in y 1.314 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.314 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.314 * [taylor]: Taking taylor expansion of y in y 1.314 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.314 * [taylor]: Taking taylor expansion of x in y 1.315 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.315 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.315 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.315 * [taylor]: Taking taylor expansion of x in x 1.315 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.315 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.315 * [taylor]: Taking taylor expansion of y in x 1.315 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.315 * [taylor]: Taking taylor expansion of x in x 1.319 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.319 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.319 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.319 * [taylor]: Taking taylor expansion of x in x 1.319 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.319 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.319 * [taylor]: Taking taylor expansion of y in x 1.319 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.319 * [taylor]: Taking taylor expansion of x in x 1.322 * [taylor]: Taking taylor expansion of 1 in y 1.322 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 1.323 * [taylor]: Taking taylor expansion of -1/2 in y 1.323 * [taylor]: Taking taylor expansion of y in y 1.331 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 1.331 * [taylor]: Taking taylor expansion of 3/8 in y 1.331 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.331 * [taylor]: Taking taylor expansion of y in y 1.336 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 1.336 * [taylor]: Taking taylor expansion of -5/16 in y 1.337 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.337 * [taylor]: Taking taylor expansion of y in y 1.341 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 1.341 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 1.341 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.341 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.341 * [taylor]: Taking taylor expansion of x in y 1.341 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.341 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.341 * [taylor]: Taking taylor expansion of y in y 1.342 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.342 * [taylor]: Taking taylor expansion of x in y 1.343 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.343 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.343 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.343 * [taylor]: Taking taylor expansion of x in x 1.343 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.343 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.343 * [taylor]: Taking taylor expansion of y in x 1.343 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.343 * [taylor]: Taking taylor expansion of x in x 1.346 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.346 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.346 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.346 * [taylor]: Taking taylor expansion of x in x 1.346 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.346 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.346 * [taylor]: Taking taylor expansion of y in x 1.346 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.346 * [taylor]: Taking taylor expansion of x in x 1.350 * [taylor]: Taking taylor expansion of 1 in y 1.350 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 1.350 * [taylor]: Taking taylor expansion of -1/2 in y 1.350 * [taylor]: Taking taylor expansion of y in y 1.353 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 1.353 * [taylor]: Taking taylor expansion of 3/8 in y 1.353 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.353 * [taylor]: Taking taylor expansion of y in y 1.359 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 1.359 * [taylor]: Taking taylor expansion of -5/16 in y 1.359 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.359 * [taylor]: Taking taylor expansion of y in y 1.364 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.364 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 1.364 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 1.364 * [taylor]: Taking taylor expansion of x in y 1.364 * [taylor]: Taking taylor expansion of (+ x y) in y 1.364 * [taylor]: Taking taylor expansion of x in y 1.364 * [taylor]: Taking taylor expansion of y in y 1.364 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.364 * [taylor]: Taking taylor expansion of x in x 1.364 * [taylor]: Taking taylor expansion of (+ x y) in x 1.364 * [taylor]: Taking taylor expansion of x in x 1.364 * [taylor]: Taking taylor expansion of y in x 1.364 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.364 * [taylor]: Taking taylor expansion of x in x 1.364 * [taylor]: Taking taylor expansion of (+ x y) in x 1.364 * [taylor]: Taking taylor expansion of x in x 1.364 * [taylor]: Taking taylor expansion of y in x 1.364 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.364 * [taylor]: Taking taylor expansion of y in y 1.365 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 1.365 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.365 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.365 * [taylor]: Taking taylor expansion of y in y 1.369 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.369 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.369 * [taylor]: Taking taylor expansion of y in y 1.375 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 1.375 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.375 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.375 * [taylor]: Taking taylor expansion of x in y 1.375 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.375 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.375 * [taylor]: Taking taylor expansion of y in y 1.375 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.375 * [taylor]: Taking taylor expansion of x in y 1.376 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.376 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.376 * [taylor]: Taking taylor expansion of x in x 1.376 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.376 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.376 * [taylor]: Taking taylor expansion of y in x 1.376 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.376 * [taylor]: Taking taylor expansion of x in x 1.377 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.377 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.377 * [taylor]: Taking taylor expansion of x in x 1.377 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.377 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.377 * [taylor]: Taking taylor expansion of y in x 1.377 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.377 * [taylor]: Taking taylor expansion of x in x 1.379 * [taylor]: Taking taylor expansion of 1 in y 1.380 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.380 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.380 * [taylor]: Taking taylor expansion of y in y 1.384 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.384 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.384 * [taylor]: Taking taylor expansion of y in y 1.388 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 1.388 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.388 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.388 * [taylor]: Taking taylor expansion of x in y 1.388 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.388 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.388 * [taylor]: Taking taylor expansion of y in y 1.388 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.388 * [taylor]: Taking taylor expansion of x in y 1.388 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.388 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.388 * [taylor]: Taking taylor expansion of x in x 1.388 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.388 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.388 * [taylor]: Taking taylor expansion of y in x 1.388 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.388 * [taylor]: Taking taylor expansion of x in x 1.390 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.390 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.390 * [taylor]: Taking taylor expansion of x in x 1.390 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.390 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.390 * [taylor]: Taking taylor expansion of y in x 1.390 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.390 * [taylor]: Taking taylor expansion of x in x 1.392 * [taylor]: Taking taylor expansion of 1 in y 1.393 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.393 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.393 * [taylor]: Taking taylor expansion of y in y 1.396 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.396 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.396 * [taylor]: Taking taylor expansion of y in y 1.400 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.400 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 1.400 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 1.400 * [taylor]: Taking taylor expansion of x in y 1.400 * [taylor]: Taking taylor expansion of (+ x y) in y 1.400 * [taylor]: Taking taylor expansion of x in y 1.400 * [taylor]: Taking taylor expansion of y in y 1.400 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.400 * [taylor]: Taking taylor expansion of x in x 1.400 * [taylor]: Taking taylor expansion of (+ x y) in x 1.400 * [taylor]: Taking taylor expansion of x in x 1.400 * [taylor]: Taking taylor expansion of y in x 1.400 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.400 * [taylor]: Taking taylor expansion of x in x 1.400 * [taylor]: Taking taylor expansion of (+ x y) in x 1.400 * [taylor]: Taking taylor expansion of x in x 1.400 * [taylor]: Taking taylor expansion of y in x 1.400 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.400 * [taylor]: Taking taylor expansion of y in y 1.401 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 1.402 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.402 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.402 * [taylor]: Taking taylor expansion of y in y 1.410 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.410 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.410 * [taylor]: Taking taylor expansion of y in y 1.416 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 1.416 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.416 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.416 * [taylor]: Taking taylor expansion of x in y 1.416 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.416 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.416 * [taylor]: Taking taylor expansion of y in y 1.416 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.416 * [taylor]: Taking taylor expansion of x in y 1.417 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.417 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.417 * [taylor]: Taking taylor expansion of x in x 1.417 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.417 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.417 * [taylor]: Taking taylor expansion of y in x 1.417 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.417 * [taylor]: Taking taylor expansion of x in x 1.418 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.418 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.418 * [taylor]: Taking taylor expansion of x in x 1.418 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.418 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.418 * [taylor]: Taking taylor expansion of y in x 1.418 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.418 * [taylor]: Taking taylor expansion of x in x 1.420 * [taylor]: Taking taylor expansion of 1 in y 1.421 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.421 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.421 * [taylor]: Taking taylor expansion of y in y 1.425 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.425 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.425 * [taylor]: Taking taylor expansion of y in y 1.428 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 1.428 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.429 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.429 * [taylor]: Taking taylor expansion of x in y 1.429 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.429 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.429 * [taylor]: Taking taylor expansion of y in y 1.429 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.429 * [taylor]: Taking taylor expansion of x in y 1.429 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.429 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.429 * [taylor]: Taking taylor expansion of x in x 1.429 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.429 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.429 * [taylor]: Taking taylor expansion of y in x 1.429 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.429 * [taylor]: Taking taylor expansion of x in x 1.431 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.431 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.431 * [taylor]: Taking taylor expansion of x in x 1.431 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.431 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.431 * [taylor]: Taking taylor expansion of y in x 1.431 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.431 * [taylor]: Taking taylor expansion of x in x 1.433 * [taylor]: Taking taylor expansion of 1 in y 1.434 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.434 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.434 * [taylor]: Taking taylor expansion of y in y 1.437 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.437 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.437 * [taylor]: Taking taylor expansion of y in y 1.441 * * * [progress]: simplifying candidates 1.444 * [simplify]: Simplifying using # : (expm1 (sqrt (/ x (+ y x)))) (log1p (sqrt (/ x (+ y x)))) (log (sqrt (/ x (+ y x)))) (exp (sqrt (/ x (+ y x)))) (* (cbrt (sqrt (/ x (+ y x)))) (cbrt (sqrt (/ x (+ y x))))) (cbrt (sqrt (/ x (+ y x)))) (* (* (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x)))) (sqrt (/ x (+ y x)))) (sqrt (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x))))) (sqrt (cbrt (/ x (+ y 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