7.010 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.010 * * * [progress]: [2/2] Setting up program. 0.011 * [progress]: [Phase 2 of 3] Improving. 0.011 * [simplify]: Simplifying using # : (/ x (+ x y)) 0.014 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.016 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 0.016 * [simplify]: Simplified to: (/ x (+ x y)) 0.016 * * [progress]: iteration 1 / 4 0.016 * * * [progress]: picking best candidate 0.017 * * * * [pick]: Picked # 0.017 * * * [progress]: localizing error 0.021 * * * [progress]: generating rewritten candidates 0.021 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.028 * * * [progress]: generating series expansions 0.028 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.028 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.028 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.028 * [taylor]: Taking taylor expansion of x in y 0.028 * [taylor]: Taking taylor expansion of (+ x y) in y 0.028 * [taylor]: Taking taylor expansion of x in y 0.028 * [taylor]: Taking taylor expansion of y in y 0.028 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.028 * [taylor]: Taking taylor expansion of x in x 0.028 * [taylor]: Taking taylor expansion of (+ x y) in x 0.028 * [taylor]: Taking taylor expansion of x in x 0.028 * [taylor]: Taking taylor expansion of y in x 0.028 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.028 * [taylor]: Taking taylor expansion of x in x 0.028 * [taylor]: Taking taylor expansion of (+ x y) in x 0.028 * [taylor]: Taking taylor expansion of x in x 0.028 * [taylor]: Taking taylor expansion of y in x 0.028 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.028 * [taylor]: Taking taylor expansion of y in y 0.030 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.030 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.030 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.030 * [taylor]: Taking taylor expansion of y in y 0.033 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.033 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.033 * [taylor]: Taking taylor expansion of y in y 0.040 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.040 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.040 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.040 * [taylor]: Taking taylor expansion of x in y 0.040 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.040 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.040 * [taylor]: Taking taylor expansion of y in y 0.041 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.041 * [taylor]: Taking taylor expansion of x in y 0.041 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.041 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.043 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.043 * [taylor]: Taking taylor expansion of y in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of 1 in y 0.046 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.046 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.053 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.057 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.057 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.057 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.057 * [taylor]: Taking taylor expansion of x in y 0.057 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.057 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.058 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.058 * [taylor]: Taking taylor expansion of x in y 0.058 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.058 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.060 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.060 * [taylor]: Taking taylor expansion of y in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.062 * [taylor]: Taking taylor expansion of 1 in y 0.063 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.063 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.067 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.067 * [taylor]: Taking taylor expansion of y in y 0.071 * * * [progress]: simplifying candidates 0.072 * [simplify]: Simplifying using # : (expm1 (/ x (+ x y))) (log1p (/ x (+ x y))) (- (log x) (log (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (/ (* (* x x) x) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y))) (* (* (/ x (+ x y)) (/ x (+ x y))) (/ x (+ x y))) (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) (- x) (- (+ x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ x y)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ x y)) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) 1) (/ (sqrt x) (+ x y)) (/ (sqrt x) 1) (/ (sqrt x) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (/ 1 1) (/ x (+ x y)) (/ 1 1) (/ x (+ x y)) (/ 1 (+ x y)) (/ (+ x y) x) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) (/ x 1) (/ x 1) (/ (+ x y) (cbrt x)) (/ (+ x y) (sqrt x)) (/ (+ x y) x) (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) 0 0 0 0.076 * * [simplify]: iteration 0 : 121 enodes (cost 159 ) 0.079 * * [simplify]: iteration 1 : 393 enodes (cost 150 ) 0.085 * * [simplify]: iteration 2 : 1065 enodes (cost 150 ) 0.105 * * [simplify]: iteration 3 : 3830 enodes (cost 150 ) 0.155 * * [simplify]: iteration 4 : 5002 enodes (cost 150 ) 0.156 * [simplify]: Simplified to: (expm1 (/ x (+ x y))) (log1p (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (pow (/ x (+ x y)) 3) (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y))) (pow (/ x (+ x y)) 3) (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) (- x) (- (+ x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (sqrt x) (/ (sqrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) (/ (+ x y) x) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x x (/ (+ x y) (cbrt x)) (/ (+ x y) (sqrt x)) (/ (+ x y) x) (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) 0 0 0 0.156 * * * [progress]: adding candidates to table 0.215 * * [progress]: iteration 2 / 4 0.215 * * * [progress]: picking best candidate 0.218 * * * * [pick]: Picked # 0.218 * * * [progress]: localizing error 0.223 * * * [progress]: generating rewritten candidates 0.223 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.231 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.244 * * * [progress]: generating series expansions 0.244 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.244 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.244 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.244 * [taylor]: Taking taylor expansion of x in y 0.245 * [taylor]: Taking taylor expansion of (+ x y) in y 0.245 * [taylor]: Taking taylor expansion of x in y 0.245 * [taylor]: Taking taylor expansion of y in y 0.245 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of (+ x y) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of y in x 0.245 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of (+ x y) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of y in x 0.245 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.245 * [taylor]: Taking taylor expansion of y in y 0.246 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.246 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.246 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.246 * [taylor]: Taking taylor expansion of y in y 0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.250 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.250 * [taylor]: Taking taylor expansion of y in y 0.261 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.261 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.261 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.261 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.261 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.261 * [taylor]: Taking taylor expansion of y in y 0.261 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.261 * [taylor]: Taking taylor expansion of x in y 0.261 * [taylor]: Taking taylor expansion of x in y 0.262 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.262 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.262 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.262 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.262 * [taylor]: Taking taylor expansion of y in x 0.262 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.264 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.264 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.264 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.264 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.264 * [taylor]: Taking taylor expansion of y in x 0.264 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.266 * [taylor]: Taking taylor expansion of 1 in y 0.267 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.267 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.271 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.271 * [taylor]: Taking taylor expansion of y in y 0.275 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.275 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.275 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.275 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.275 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.275 * [taylor]: Taking taylor expansion of y in y 0.275 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.276 * [taylor]: Taking taylor expansion of x in y 0.276 * [taylor]: Taking taylor expansion of x in y 0.276 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.276 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.276 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.276 * [taylor]: Taking taylor expansion of y in x 0.276 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.278 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.278 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.278 * [taylor]: Taking taylor expansion of y in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of 1 in y 0.281 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.281 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.281 * [taylor]: Taking taylor expansion of y in y 0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.285 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.285 * [taylor]: Taking taylor expansion of y in y 0.289 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.289 * [approximate]: Taking taylor expansion of (/ (+ x y) x) in (x y) around 0 0.289 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 0.289 * [taylor]: Taking taylor expansion of (+ x y) in y 0.289 * [taylor]: Taking taylor expansion of x in y 0.289 * [taylor]: Taking taylor expansion of y in y 0.289 * [taylor]: Taking taylor expansion of x in y 0.289 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.289 * [taylor]: Taking taylor expansion of (+ x y) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of y in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.289 * [taylor]: Taking taylor expansion of (+ x y) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of y in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of y in y 0.290 * [taylor]: Taking taylor expansion of 1 in y 0.291 * [taylor]: Taking taylor expansion of 0 in y 0.293 * [taylor]: Taking taylor expansion of 0 in y 0.293 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.293 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.293 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.293 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.293 * [taylor]: Taking taylor expansion of y in y 0.293 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.293 * [taylor]: Taking taylor expansion of x in y 0.293 * [taylor]: Taking taylor expansion of x in y 0.293 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.293 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.293 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.293 * [taylor]: Taking taylor expansion of y in x 0.293 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.293 * [taylor]: Taking taylor expansion of x in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.294 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.294 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.294 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.294 * [taylor]: Taking taylor expansion of y in x 0.294 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.295 * [taylor]: Taking taylor expansion of 0 in y 0.295 * [taylor]: Taking taylor expansion of 1 in y 0.297 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.297 * [taylor]: Taking taylor expansion of y in y 0.299 * [taylor]: Taking taylor expansion of 0 in y 0.301 * [taylor]: Taking taylor expansion of 0 in y 0.301 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.301 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.301 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.301 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.301 * [taylor]: Taking taylor expansion of y in y 0.302 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.302 * [taylor]: Taking taylor expansion of x in y 0.302 * [taylor]: Taking taylor expansion of x in y 0.302 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.302 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.302 * [taylor]: Taking taylor expansion of y in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.302 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.302 * [taylor]: Taking taylor expansion of y in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.303 * [taylor]: Taking taylor expansion of 0 in y 0.304 * [taylor]: Taking taylor expansion of 1 in y 0.305 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.305 * [taylor]: Taking taylor expansion of y in y 0.307 * [taylor]: Taking taylor expansion of 0 in y 0.309 * [taylor]: Taking taylor expansion of 0 in y 0.310 * * * [progress]: simplifying candidates 0.312 * [simplify]: Simplifying using # : (expm1 (/ 1 (/ (+ x y) x))) (log1p (/ 1 (/ (+ x y) x))) (- 1) (- (- (log (+ x y)) (log x))) (- (log (/ (+ x y) x))) (- 0 (- (log (+ x y)) (log x))) (- 0 (log (/ (+ x y) x))) (- (log 1) (- (log (+ x y)) (log x))) (- (log 1) (log (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (exp (/ 1 (/ (+ x y) x))) (/ (* (* 1 1) 1) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* x x) x))) (/ (* (* 1 1) 1) (* (* (/ (+ x y) x) (/ (+ x y) x)) (/ (+ x y) x))) (* (cbrt (/ 1 (/ (+ x y) x))) (cbrt (/ 1 (/ (+ x y) x)))) (cbrt (/ 1 (/ (+ x y) x))) (* (* (/ 1 (/ (+ x y) x)) (/ 1 (/ (+ x y) x))) (/ 1 (/ (+ x y) x))) (sqrt (/ 1 (/ (+ x y) x))) (sqrt (/ 1 (/ (+ x y) x))) (- 1) (- (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ (cbrt 1) (cbrt (/ (+ x y) x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ x y) x))) (/ (cbrt 1) (sqrt (/ (+ x y) x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (cbrt (+ x y)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ (cbrt 1) (/ (cbrt (+ x y)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ (cbrt 1) (/ (cbrt (+ x y)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (sqrt (+ x y)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ x y)) (sqrt x))) (/ (cbrt 1) (/ (sqrt (+ x y)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ x y)) 1)) (/ (cbrt 1) (/ (sqrt (+ x y)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ x y) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ x y) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ x y) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ x y) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) (+ x y)) (/ (cbrt 1) (/ 1 x)) (/ (sqrt 1) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ (sqrt 1) (cbrt (/ (+ x y) x))) (/ (sqrt 1) (sqrt (/ (+ x y) x))) (/ (sqrt 1) (sqrt (/ (+ x y) x))) (/ (sqrt 1) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (cbrt (+ x y)) (cbrt x))) (/ (sqrt 1) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ (sqrt 1) (/ (cbrt (+ x y)) (sqrt x))) (/ (sqrt 1) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ (sqrt 1) (/ (cbrt (+ x y)) x)) (/ (sqrt 1) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (sqrt (+ x y)) (cbrt x))) (/ (sqrt 1) (/ (sqrt (+ x y)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ x y)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ x y)) 1)) (/ (sqrt 1) (/ (sqrt (+ x y)) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ x y) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ x y) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ x y) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ x y) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ x y) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ x y) x)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (+ x y) x)) (/ (sqrt 1) (+ x y)) (/ (sqrt 1) (/ 1 x)) (/ 1 (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (cbrt (+ x y)) (cbrt x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ 1 (/ (cbrt (+ x y)) (sqrt x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ 1 (/ (cbrt (+ x y)) x)) (/ 1 (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ x y)) (cbrt x))) (/ 1 (/ (sqrt (+ x y)) (sqrt x))) (/ 1 (/ (sqrt (+ x y)) (sqrt x))) (/ 1 (/ (sqrt (+ x y)) 1)) (/ 1 (/ (sqrt (+ x y)) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ x y) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ x y) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ x y) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ x y) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ x y) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ x y) x)) (/ 1 1) (/ 1 (/ (+ x y) x)) (/ 1 (+ x y)) (/ 1 (/ 1 x)) (/ 1 (/ (+ x y) x)) (/ (/ (+ x y) x) 1) (/ 1 (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ 1 (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ x y)) (sqrt x))) (/ 1 (/ (sqrt (+ x y)) 1)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (+ x y)) (/ (/ (+ x y) x) (cbrt 1)) (/ (/ (+ x y) x) (sqrt 1)) (/ (/ (+ x y) x) 1) (/ 1 (+ x y)) (expm1 (/ (+ x y) x)) (log1p (/ (+ x y) x)) (- (log (+ x y)) (log x)) (log (/ (+ x y) x)) (exp (/ (+ x y) x)) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* x x) x)) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x)) (* (* (/ (+ x y) x) (/ (+ x y) x)) (/ (+ x y) x)) (sqrt (/ (+ x y) x)) (sqrt (/ (+ x y) x)) (- (+ x y)) (- x) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ x y)) (cbrt x)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x)) (/ (cbrt (+ x y)) (sqrt x)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) x) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ x y)) (cbrt x)) (/ (sqrt (+ x y)) (sqrt x)) (/ (sqrt (+ x y)) (sqrt x)) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) (/ 1 1) (/ (+ x y) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) (/ 1 1) (/ (+ x y) x) (/ 1 x) (/ x (+ x y)) (/ (+ x y) (* (cbrt x) (cbrt x))) (/ (+ x y) (sqrt x)) (/ (+ x y) 1) (/ x (cbrt (+ x y))) (/ x (sqrt (+ x y))) (/ x (+ x y)) (/ x (+ x y)) (* x (+ (* x x) (- (* y y) (* x y)))) (* x (- x y)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 0.319 * * [simplify]: iteration 0 : 352 enodes (cost 814 ) 0.326 * * [simplify]: iteration 1 : 1552 enodes (cost 715 ) 0.350 * * [simplify]: iteration 2 : 5001 enodes (cost 625 ) 0.354 * [simplify]: Simplified to: (expm1 (/ 1 (/ (+ x y) x))) (log1p (/ 1 (/ (+ x y) x))) (- 1) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (exp (/ 1 (/ (+ x y) x))) (/ 1 (pow (/ (+ x y) x) 3)) (/ 1 (pow (/ (+ x y) x) 3)) (* (cbrt (/ 1 (/ (+ x y) x))) (cbrt (/ 1 (/ (+ x y) x)))) (cbrt (/ 1 (/ (+ x y) x))) (/ 1 (pow (/ (+ x y) x) 3)) (sqrt (/ 1 (/ (+ x y) x))) (sqrt (/ 1 (/ (+ x y) x))) (- 1) (- (/ (+ x y) x)) (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ x y) (cbrt x))) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ x y) (cbrt x))) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) x (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ x y) (cbrt x))) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ x y) (cbrt x))) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) x (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ x y) (cbrt x))) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ x y) (cbrt x))) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) x (/ x (+ x y)) (/ (+ x y) x) (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (sqrt x) 1 (* (cbrt x) (cbrt x)) (sqrt x) 1 1 (/ 1 (+ x y)) (/ (+ x y) x) (/ (+ x y) x) (/ (+ x y) x) (/ 1 (+ x y)) (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 y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ x y)) (cbrt x)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x)) (/ (cbrt (+ x y)) (sqrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) x) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ x y)) (cbrt x)) (/ (sqrt (+ x y)) (sqrt x)) (/ (sqrt (+ x y)) (sqrt x)) (sqrt (+ x y)) (/ (sqrt (+ x y)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) 1 (/ (+ x y) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) 1 (/ (+ x y) x) (/ 1 x) (/ x (+ x y)) (/ (+ x y) (* (cbrt x) (cbrt x))) (/ (+ x y) (sqrt x)) (+ x y) (/ x (cbrt (+ x y))) (/ x (sqrt (+ x y))) (/ x (+ x y)) (/ x (+ x y)) (* x (fma x x (* y (- y x)))) (* x (- x y)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 0.355 * * * [progress]: adding candidates to table 0.504 * * [progress]: iteration 3 / 4 0.504 * * * [progress]: picking best candidate 0.507 * * * * [pick]: Picked # 0.507 * * * [progress]: localizing error 0.513 * * * [progress]: generating rewritten candidates 0.513 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.522 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.529 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.567 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.583 * * * [progress]: generating series expansions 0.583 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.583 * [approximate]: Taking taylor expansion of (sqrt (/ x (+ x y))) in (x y) around 0 0.583 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in y 0.583 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.583 * [taylor]: Taking taylor expansion of x in y 0.583 * [taylor]: Taking taylor expansion of (+ x y) in y 0.583 * [taylor]: Taking taylor expansion of x in y 0.583 * [taylor]: Taking taylor expansion of y in y 0.584 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 0.585 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.585 * [taylor]: Taking taylor expansion of x in x 0.585 * [taylor]: Taking taylor expansion of (+ x y) in x 0.585 * [taylor]: Taking taylor expansion of x in x 0.585 * [taylor]: Taking taylor expansion of y in x 0.585 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 0.585 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.585 * [taylor]: Taking taylor expansion of x in x 0.585 * [taylor]: Taking taylor expansion of (+ x y) in x 0.585 * [taylor]: Taking taylor expansion of x in x 0.585 * [taylor]: Taking taylor expansion of y in x 0.586 * [taylor]: Taking taylor expansion of 0 in y 0.586 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 0.586 * [taylor]: Taking taylor expansion of +nan.0 in y 0.586 * [taylor]: Taking taylor expansion of y in y 0.592 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow y 2)) in y 0.593 * [taylor]: Taking taylor expansion of +nan.0 in y 0.593 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.593 * [taylor]: Taking taylor expansion of y in y 0.596 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.596 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.596 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.596 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.596 * [taylor]: Taking taylor expansion of x in y 0.596 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.596 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.596 * [taylor]: Taking taylor expansion of y in y 0.596 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.596 * [taylor]: Taking taylor expansion of x in y 0.597 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.597 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.597 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.597 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.597 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.597 * [taylor]: Taking taylor expansion of y in x 0.597 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.601 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.601 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.601 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.601 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.601 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.601 * [taylor]: Taking taylor expansion of y in x 0.601 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.605 * [taylor]: Taking taylor expansion of 1 in y 0.605 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.605 * [taylor]: Taking taylor expansion of -1/2 in y 0.605 * [taylor]: Taking taylor expansion of y in y 0.609 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 0.609 * [taylor]: Taking taylor expansion of 3/8 in y 0.609 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.609 * [taylor]: Taking taylor expansion of y in y 0.615 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 0.615 * [taylor]: Taking taylor expansion of -5/16 in y 0.615 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.615 * [taylor]: Taking taylor expansion of y in y 0.620 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.620 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.620 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.620 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.620 * [taylor]: Taking taylor expansion of x in y 0.620 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.620 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.620 * [taylor]: Taking taylor expansion of y in y 0.621 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.621 * [taylor]: Taking taylor expansion of x in y 0.621 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.622 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.622 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.622 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.622 * [taylor]: Taking taylor expansion of y in x 0.622 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.625 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.625 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.626 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.626 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.626 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.626 * [taylor]: Taking taylor expansion of y in x 0.626 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.629 * [taylor]: Taking taylor expansion of 1 in y 0.629 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.629 * [taylor]: Taking taylor expansion of -1/2 in y 0.629 * [taylor]: Taking taylor expansion of y in y 0.633 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 0.633 * [taylor]: Taking taylor expansion of 3/8 in y 0.633 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.633 * [taylor]: Taking taylor expansion of y in y 0.639 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 0.640 * [taylor]: Taking taylor expansion of -5/16 in y 0.640 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.640 * [taylor]: Taking taylor expansion of y in y 0.645 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.645 * [approximate]: Taking taylor expansion of (sqrt (/ x (+ x y))) in (x y) around 0 0.645 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in y 0.645 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.645 * [taylor]: Taking taylor expansion of x in y 0.645 * [taylor]: Taking taylor expansion of (+ x y) in y 0.645 * [taylor]: Taking taylor expansion of x in y 0.645 * [taylor]: Taking taylor expansion of y in y 0.646 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 0.646 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.646 * [taylor]: Taking taylor expansion of x in x 0.646 * [taylor]: Taking taylor expansion of (+ x y) in x 0.646 * [taylor]: Taking taylor expansion of x in x 0.646 * [taylor]: Taking taylor expansion of y in x 0.647 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 0.647 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.647 * [taylor]: Taking taylor expansion of (+ x y) in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.647 * [taylor]: Taking taylor expansion of y in x 0.647 * [taylor]: Taking taylor expansion of 0 in y 0.647 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 0.647 * [taylor]: Taking taylor expansion of +nan.0 in y 0.648 * [taylor]: Taking taylor expansion of y in y 0.649 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow y 2)) in y 0.649 * [taylor]: Taking taylor expansion of +nan.0 in y 0.649 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.649 * [taylor]: Taking taylor expansion of y in y 0.653 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.653 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.653 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.653 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.653 * [taylor]: Taking taylor expansion of x in y 0.653 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.653 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.653 * [taylor]: Taking taylor expansion of y in y 0.653 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.653 * [taylor]: Taking taylor expansion of x in y 0.654 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.654 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.654 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.654 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.654 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.654 * [taylor]: Taking taylor expansion of y in x 0.654 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.658 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.658 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.658 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.658 * [taylor]: Taking taylor expansion of x in x 0.658 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.658 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.658 * [taylor]: Taking taylor expansion of y in x 0.658 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.658 * [taylor]: Taking taylor expansion of x in x 0.662 * [taylor]: Taking taylor expansion of 1 in y 0.662 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.662 * [taylor]: Taking taylor expansion of -1/2 in y 0.662 * [taylor]: Taking taylor expansion of y in y 0.665 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 0.665 * [taylor]: Taking taylor expansion of 3/8 in y 0.665 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.665 * [taylor]: Taking taylor expansion of y in y 0.671 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 0.671 * [taylor]: Taking taylor expansion of -5/16 in y 0.671 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.671 * [taylor]: Taking taylor expansion of y in y 0.680 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.680 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.680 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.680 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.680 * [taylor]: Taking taylor expansion of x in y 0.680 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.680 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.680 * [taylor]: Taking taylor expansion of y in y 0.680 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.680 * [taylor]: Taking taylor expansion of x in y 0.681 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.681 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.681 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.681 * [taylor]: Taking taylor expansion of x in x 0.681 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.681 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.681 * [taylor]: Taking taylor expansion of y in x 0.681 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.681 * [taylor]: Taking taylor expansion of x in x 0.685 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.685 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.686 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.686 * [taylor]: Taking taylor expansion of x in x 0.686 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.686 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.686 * [taylor]: Taking taylor expansion of y in x 0.686 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.686 * [taylor]: Taking taylor expansion of x in x 0.689 * [taylor]: Taking taylor expansion of 1 in y 0.689 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.689 * [taylor]: Taking taylor expansion of -1/2 in y 0.689 * [taylor]: Taking taylor expansion of y in y 0.693 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 0.693 * [taylor]: Taking taylor expansion of 3/8 in y 0.693 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.693 * [taylor]: Taking taylor expansion of y in y 0.699 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 0.699 * [taylor]: Taking taylor expansion of -5/16 in y 0.699 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.699 * [taylor]: Taking taylor expansion of y in y 0.704 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.704 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.704 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.704 * [taylor]: Taking taylor expansion of x in y 0.704 * [taylor]: Taking taylor expansion of (+ x y) in y 0.704 * [taylor]: Taking taylor expansion of x in y 0.704 * [taylor]: Taking taylor expansion of y in y 0.704 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.704 * [taylor]: Taking taylor expansion of x in x 0.704 * [taylor]: Taking taylor expansion of (+ x y) in x 0.704 * [taylor]: Taking taylor expansion of x in x 0.704 * [taylor]: Taking taylor expansion of y in x 0.704 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.704 * [taylor]: Taking taylor expansion of x in x 0.704 * [taylor]: Taking taylor expansion of (+ x y) in x 0.704 * [taylor]: Taking taylor expansion of x in x 0.704 * [taylor]: Taking taylor expansion of y in x 0.705 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.705 * [taylor]: Taking taylor expansion of y in y 0.706 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.706 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.706 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.706 * [taylor]: Taking taylor expansion of y in y 0.709 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.709 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.709 * [taylor]: Taking taylor expansion of y in y 0.716 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.716 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.716 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.716 * [taylor]: Taking taylor expansion of x in y 0.716 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.716 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.716 * [taylor]: Taking taylor expansion of y in y 0.717 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.717 * [taylor]: Taking taylor expansion of x in y 0.717 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.717 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.717 * [taylor]: Taking taylor expansion of x in x 0.717 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.717 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.717 * [taylor]: Taking taylor expansion of y in x 0.717 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.717 * [taylor]: Taking taylor expansion of x in x 0.719 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.719 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.719 * [taylor]: Taking taylor expansion of x in x 0.719 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.719 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.719 * [taylor]: Taking taylor expansion of y in x 0.719 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.719 * [taylor]: Taking taylor expansion of x in x 0.721 * [taylor]: Taking taylor expansion of 1 in y 0.722 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.722 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.722 * [taylor]: Taking taylor expansion of y in y 0.725 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.725 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.725 * [taylor]: Taking taylor expansion of y in y 0.730 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.730 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.730 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.730 * [taylor]: Taking taylor expansion of x in y 0.730 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.730 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.730 * [taylor]: Taking taylor expansion of y in y 0.730 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.730 * [taylor]: Taking taylor expansion of x in y 0.730 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.730 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.731 * [taylor]: Taking taylor expansion of x in x 0.731 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.731 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.731 * [taylor]: Taking taylor expansion of y in x 0.731 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.731 * [taylor]: Taking taylor expansion of x in x 0.732 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.732 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.732 * [taylor]: Taking taylor expansion of x in x 0.732 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.732 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.732 * [taylor]: Taking taylor expansion of y in x 0.732 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.732 * [taylor]: Taking taylor expansion of x in x 0.734 * [taylor]: Taking taylor expansion of 1 in y 0.736 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.736 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.736 * [taylor]: Taking taylor expansion of y in y 0.739 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.739 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.739 * [taylor]: Taking taylor expansion of y in y 0.743 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.744 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.744 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.744 * [taylor]: Taking taylor expansion of x in y 0.744 * [taylor]: Taking taylor expansion of (+ x y) in y 0.744 * [taylor]: Taking taylor expansion of x in y 0.744 * [taylor]: Taking taylor expansion of y in y 0.744 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.744 * [taylor]: Taking taylor expansion of x in x 0.744 * [taylor]: Taking taylor expansion of (+ x y) in x 0.744 * [taylor]: Taking taylor expansion of x in x 0.744 * [taylor]: Taking taylor expansion of y in x 0.744 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.744 * [taylor]: Taking taylor expansion of x in x 0.744 * [taylor]: Taking taylor expansion of (+ x y) in x 0.744 * [taylor]: Taking taylor expansion of x in x 0.744 * [taylor]: Taking taylor expansion of y in x 0.744 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.744 * [taylor]: Taking taylor expansion of y in y 0.745 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.745 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.745 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.745 * [taylor]: Taking taylor expansion of y in y 0.749 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.749 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.749 * [taylor]: Taking taylor expansion of y in y 0.755 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.756 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.756 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.756 * [taylor]: Taking taylor expansion of x in y 0.756 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.756 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.756 * [taylor]: Taking taylor expansion of y in y 0.756 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.756 * [taylor]: Taking taylor expansion of x in y 0.756 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.756 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.756 * [taylor]: Taking taylor expansion of x in x 0.756 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.756 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.756 * [taylor]: Taking taylor expansion of y in x 0.757 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.757 * [taylor]: Taking taylor expansion of x in x 0.762 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.762 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.762 * [taylor]: Taking taylor expansion of x in x 0.762 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.762 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.762 * [taylor]: Taking taylor expansion of y in x 0.762 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.762 * [taylor]: Taking taylor expansion of x in x 0.765 * [taylor]: Taking taylor expansion of 1 in y 0.766 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.766 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.766 * [taylor]: Taking taylor expansion of y in y 0.770 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.770 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.770 * [taylor]: Taking taylor expansion of y in y 0.774 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.774 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.774 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.774 * [taylor]: Taking taylor expansion of x in y 0.774 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.774 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.774 * [taylor]: Taking taylor expansion of y in y 0.774 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.774 * [taylor]: Taking taylor expansion of x in y 0.775 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.775 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.775 * [taylor]: Taking taylor expansion of x in x 0.775 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.775 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.775 * [taylor]: Taking taylor expansion of y in x 0.775 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.775 * [taylor]: Taking taylor expansion of x in x 0.777 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.777 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.777 * [taylor]: Taking taylor expansion of x in x 0.777 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.777 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.777 * [taylor]: Taking taylor expansion of y in x 0.777 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.777 * [taylor]: Taking taylor expansion of x in x 0.778 * [taylor]: Taking taylor expansion of 1 in y 0.780 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.780 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.780 * [taylor]: Taking taylor expansion of y in y 0.783 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.783 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.783 * [taylor]: Taking taylor expansion of y in y 0.787 * * * [progress]: simplifying candidates 0.791 * [simplify]: Simplifying using # : (expm1 (sqrt (/ x (+ x y)))) (log1p (sqrt (/ x (+ x y)))) (log (sqrt (/ x (+ x y)))) (exp (sqrt (/ x (+ x y)))) (* (cbrt (sqrt (/ x (+ x y)))) (cbrt (sqrt (/ x (+ x y))))) (cbrt (sqrt (/ x (+ x y)))) (* (* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y)))) (sqrt (/ x (+ x y)))) (sqrt (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))) (sqrt (cbrt (/ x (+ x y)))) (sqrt (sqrt (/ x (+ x y)))) (sqrt (sqrt (/ x (+ x y)))) (sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))))) (sqrt (/ (cbrt x) (cbrt (+ x y)))) (sqrt (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y)))) (sqrt (/ (cbrt x) (sqrt (+ x y)))) (sqrt (/ (* (cbrt x) (cbrt x)) 1)) (sqrt (/ (cbrt x) (+ x y))) (sqrt (/ (* (cbrt x) (cbrt x)) 1)) (sqrt (/ (cbrt x) (+ x y))) (sqrt (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y))))) (sqrt (/ (sqrt x) (cbrt (+ x y)))) (sqrt (/ (sqrt x) (sqrt (+ x y)))) (sqrt (/ (sqrt x) (sqrt (+ x y)))) (sqrt (/ (sqrt x) 1)) (sqrt (/ (sqrt x) (+ x y))) (sqrt (/ (sqrt x) 1)) (sqrt (/ (sqrt x) (+ x y))) (sqrt (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y))))) (sqrt (/ x (cbrt (+ x y)))) (sqrt (/ 1 (sqrt (+ x y)))) (sqrt (/ x (sqrt (+ x y)))) (sqrt (/ 1 1)) (sqrt (/ x (+ x y))) (sqrt (/ 1 1)) (sqrt (/ x (+ x y))) (sqrt 1) (sqrt (/ x (+ x y))) (sqrt x) (sqrt (/ 1 (+ x y))) (sqrt (/ x (+ (pow x 3) (pow y 3)))) (sqrt (+ (* x x) (- (* y y) (* x y)))) (sqrt (/ x (- (* x x) (* y y)))) (sqrt (- x y)) (sqrt x) (sqrt (+ x y)) (/ 1 2) (sqrt (sqrt (/ x (+ x y)))) (sqrt (sqrt (/ x (+ x y)))) (expm1 (sqrt (/ x (+ x y)))) (log1p (sqrt (/ x (+ x y)))) (log (sqrt (/ x (+ x y)))) (exp (sqrt (/ x (+ x y)))) (* (cbrt (sqrt (/ x (+ x y)))) (cbrt (sqrt (/ x (+ x y))))) (cbrt (sqrt (/ x (+ x y)))) (* (* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y)))) (sqrt (/ x (+ x y)))) (sqrt (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))) (sqrt (cbrt (/ x (+ x y)))) (sqrt (sqrt (/ x (+ x y)))) (sqrt (sqrt (/ x (+ x y)))) (sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))))) (sqrt (/ (cbrt x) (cbrt (+ x y)))) (sqrt (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y)))) (sqrt (/ (cbrt x) (sqrt (+ x y)))) (sqrt (/ (* (cbrt x) (cbrt x)) 1)) (sqrt (/ (cbrt x) (+ x y))) (sqrt (/ (* (cbrt x) (cbrt x)) 1)) (sqrt (/ (cbrt x) (+ x y))) (sqrt (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y))))) (sqrt (/ (sqrt x) (cbrt (+ x y)))) (sqrt (/ (sqrt x) (sqrt (+ x y)))) (sqrt (/ (sqrt x) (sqrt (+ x y)))) (sqrt (/ (sqrt x) 1)) (sqrt (/ (sqrt x) (+ x y))) (sqrt (/ (sqrt x) 1)) (sqrt (/ (sqrt x) (+ x y))) (sqrt (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y))))) (sqrt (/ x (cbrt (+ x y)))) (sqrt (/ 1 (sqrt (+ x y)))) (sqrt (/ x (sqrt (+ x y)))) (sqrt (/ 1 1)) (sqrt (/ x (+ x y))) (sqrt (/ 1 1)) (sqrt (/ x (+ x y))) (sqrt 1) (sqrt (/ x (+ x y))) (sqrt x) (sqrt (/ 1 (+ x y))) (sqrt (/ x (+ (pow x 3) (pow y 3)))) (sqrt (+ (* x x) (- (* y y) (* x y)))) (sqrt (/ x (- (* x x) (* y y)))) (sqrt (- x y)) (sqrt x) (sqrt (+ x y)) (/ 1 2) (sqrt (sqrt (/ x (+ x y)))) (sqrt (sqrt (/ x (+ x y)))) (expm1 (* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))))) (log1p (* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (/ x (+ x y)) (/ x (+ x y))) (* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y)))) (* (/ x (+ x y)) (/ x (+ x y))) (+ 1 1) (+ (log (sqrt (/ x (+ x y)))) (log (sqrt (/ x (+ x y))))) (log (* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))))) (exp (* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))))) (* (* (* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y)))) (sqrt (/ x (+ x y)))) (* (* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y)))) (sqrt (/ x (+ x y))))) (* (cbrt (* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))))) (cbrt (* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y)))))) (cbrt (* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))))) (* (* (* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y)))) (* (sqrt (/ x 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error 1.266 * * * [progress]: generating rewritten candidates 1.266 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 1.273 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.279 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.293 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.380 * * * [progress]: generating series expansions 1.380 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.381 * [approximate]: Taking taylor expansion of (sqrt (/ x (+ x y))) in (x y) around 0 1.381 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in y 1.381 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 1.381 * [taylor]: Taking taylor expansion of x in y 1.381 * [taylor]: Taking taylor expansion of (+ x y) in y 1.381 * [taylor]: Taking taylor expansion of x in y 1.381 * [taylor]: Taking taylor expansion of y in y 1.382 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 1.382 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.382 * [taylor]: Taking taylor expansion of x in x 1.382 * [taylor]: Taking taylor expansion of (+ x y) in x 1.382 * [taylor]: Taking taylor expansion of x in x 1.382 * [taylor]: Taking taylor expansion of y in x 1.383 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 1.383 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.383 * [taylor]: Taking taylor expansion of x in x 1.383 * [taylor]: Taking taylor expansion of (+ x y) in x 1.383 * [taylor]: Taking taylor expansion of x in x 1.383 * [taylor]: Taking taylor expansion of y in x 1.384 * [taylor]: Taking taylor expansion of 0 in y 1.384 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 1.384 * [taylor]: Taking taylor expansion of +nan.0 in y 1.384 * [taylor]: Taking taylor expansion of y in y 1.386 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow y 2)) in y 1.386 * [taylor]: Taking taylor expansion of +nan.0 in y 1.386 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.386 * [taylor]: Taking taylor expansion of y in y 1.389 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 1.389 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 1.389 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.389 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.389 * [taylor]: Taking taylor expansion of x in y 1.389 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.389 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.389 * [taylor]: Taking taylor expansion of y in y 1.389 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.389 * [taylor]: Taking taylor expansion of x in y 1.390 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 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 1.398 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.398 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.398 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.398 * [taylor]: Taking taylor expansion of x in x 1.398 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.398 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.398 * [taylor]: Taking taylor expansion of y in x 1.398 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.398 * [taylor]: Taking taylor expansion of x in x 1.402 * [taylor]: Taking taylor expansion of 1 in y 1.402 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 1.402 * [taylor]: Taking taylor expansion of -1/2 in y 1.402 * [taylor]: Taking taylor expansion of y in y 1.405 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 1.405 * [taylor]: Taking taylor expansion of 3/8 in y 1.405 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.405 * [taylor]: Taking taylor expansion of y in y 1.411 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 1.411 * [taylor]: Taking taylor expansion of -5/16 in y 1.412 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.412 * [taylor]: Taking taylor expansion of y in y 1.417 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 1.417 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 1.417 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.417 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.417 * [taylor]: Taking taylor expansion of x in y 1.417 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.417 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.417 * [taylor]: Taking taylor expansion of y in y 1.417 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.417 * [taylor]: Taking taylor expansion of x in y 1.418 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 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 1.422 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.422 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.422 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.422 * [taylor]: Taking taylor expansion of x in x 1.422 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.422 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.422 * [taylor]: Taking taylor expansion of y in x 1.422 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.422 * [taylor]: Taking taylor expansion of x in x 1.426 * [taylor]: Taking taylor expansion of 1 in y 1.426 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 1.426 * [taylor]: Taking taylor expansion of -1/2 in y 1.426 * [taylor]: Taking taylor expansion of y in y 1.429 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 1.429 * [taylor]: Taking taylor expansion of 3/8 in y 1.430 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.430 * [taylor]: Taking taylor expansion of y in y 1.436 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 1.436 * [taylor]: Taking taylor expansion of -5/16 in y 1.436 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.436 * [taylor]: Taking taylor expansion of y in y 1.441 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.441 * [approximate]: Taking taylor expansion of (sqrt (/ x (+ x y))) in (x y) around 0 1.441 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in y 1.441 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 1.441 * [taylor]: Taking taylor expansion of x in y 1.441 * [taylor]: Taking taylor expansion of (+ x y) in y 1.441 * [taylor]: Taking taylor expansion of x in y 1.441 * [taylor]: Taking taylor expansion of y in y 1.442 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 1.442 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.442 * [taylor]: Taking taylor expansion of x in x 1.442 * [taylor]: Taking taylor expansion of (+ x y) in x 1.442 * [taylor]: Taking taylor expansion of x in x 1.442 * [taylor]: Taking taylor expansion of y in x 1.443 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 1.443 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.443 * [taylor]: Taking taylor expansion of x in x 1.443 * [taylor]: Taking taylor expansion of (+ x y) in x 1.443 * [taylor]: Taking taylor expansion of x in x 1.443 * [taylor]: Taking taylor expansion of y in x 1.444 * [taylor]: Taking taylor expansion of 0 in y 1.444 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 1.444 * [taylor]: Taking taylor expansion of +nan.0 in y 1.444 * [taylor]: Taking taylor expansion of y in y 1.446 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow y 2)) in y 1.446 * [taylor]: Taking taylor expansion of +nan.0 in y 1.446 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.446 * [taylor]: Taking taylor expansion of y in y 1.449 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 1.449 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 1.449 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.449 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.449 * [taylor]: Taking taylor expansion of x in y 1.449 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.449 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.449 * [taylor]: Taking taylor expansion of y in y 1.449 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.449 * [taylor]: Taking taylor expansion of x in y 1.450 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.450 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.450 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.450 * [taylor]: Taking taylor expansion of x in x 1.450 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.450 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.450 * [taylor]: Taking taylor expansion of y in x 1.450 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.451 * [taylor]: Taking taylor expansion of x in x 1.454 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.454 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.454 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.454 * [taylor]: Taking taylor expansion of x in x 1.454 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.454 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.454 * [taylor]: Taking taylor expansion of y in x 1.454 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.454 * [taylor]: Taking taylor expansion of x in x 1.458 * [taylor]: Taking taylor expansion of 1 in y 1.458 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 1.458 * [taylor]: Taking taylor expansion of -1/2 in y 1.458 * [taylor]: Taking taylor expansion of y in y 1.462 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 1.462 * [taylor]: Taking taylor expansion of 3/8 in y 1.462 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.462 * [taylor]: Taking taylor expansion of y in y 1.468 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 1.468 * [taylor]: Taking taylor expansion of -5/16 in y 1.468 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.468 * [taylor]: Taking taylor expansion of y in y 1.473 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 1.473 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 1.473 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.473 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.473 * [taylor]: Taking taylor expansion of x in y 1.473 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.473 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.473 * [taylor]: Taking taylor expansion of y in y 1.473 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.473 * [taylor]: Taking taylor expansion of x in y 1.474 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.474 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.474 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.474 * [taylor]: Taking taylor expansion of x in x 1.474 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.474 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.474 * [taylor]: Taking taylor expansion of y in x 1.474 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.474 * [taylor]: Taking taylor expansion of x in x 1.478 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.478 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.478 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.479 * [taylor]: Taking taylor expansion of x in x 1.479 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.479 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.479 * [taylor]: Taking taylor expansion of y in x 1.479 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.479 * [taylor]: Taking taylor expansion of x in x 1.485 * [taylor]: Taking taylor expansion of 1 in y 1.485 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 1.485 * [taylor]: Taking taylor expansion of -1/2 in y 1.485 * [taylor]: Taking taylor expansion of y in y 1.489 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 1.489 * [taylor]: Taking taylor expansion of 3/8 in y 1.489 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.489 * [taylor]: Taking taylor expansion of y in y 1.495 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 1.495 * [taylor]: Taking taylor expansion of -5/16 in y 1.495 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.495 * [taylor]: Taking taylor expansion of y in y 1.500 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.501 * [approximate]: Taking taylor expansion of (sqrt (/ x (+ x y))) in (x y) around 0 1.501 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in y 1.501 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 1.501 * [taylor]: Taking taylor expansion of x in y 1.501 * [taylor]: Taking taylor expansion of (+ x y) in y 1.501 * [taylor]: Taking taylor expansion of x in y 1.501 * [taylor]: Taking taylor expansion of y in y 1.502 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 1.502 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.502 * [taylor]: Taking taylor expansion of x in x 1.502 * [taylor]: Taking taylor expansion of (+ x y) in x 1.502 * [taylor]: Taking taylor expansion of x in x 1.502 * [taylor]: Taking taylor expansion of y in x 1.503 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 1.503 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.503 * [taylor]: Taking taylor expansion of x in x 1.503 * [taylor]: Taking taylor expansion of (+ x y) in x 1.503 * [taylor]: Taking taylor expansion of x in x 1.503 * [taylor]: Taking taylor expansion of y in x 1.503 * [taylor]: Taking taylor expansion of 0 in y 1.503 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 1.503 * [taylor]: Taking taylor expansion of +nan.0 in y 1.503 * [taylor]: Taking taylor expansion of y in y 1.505 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow y 2)) in y 1.505 * [taylor]: Taking taylor expansion of +nan.0 in y 1.505 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.505 * [taylor]: Taking taylor expansion of y in y 1.509 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 1.509 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 1.509 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.509 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.509 * [taylor]: Taking taylor expansion of x in y 1.509 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.509 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.509 * [taylor]: Taking taylor expansion of y in y 1.509 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.509 * [taylor]: Taking taylor expansion of x in y 1.510 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.510 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.510 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.510 * [taylor]: Taking taylor expansion of x in x 1.510 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.510 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.510 * [taylor]: Taking taylor expansion of y in x 1.510 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.510 * [taylor]: Taking taylor expansion of x in x 1.514 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.514 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.514 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.514 * [taylor]: Taking taylor expansion of x in x 1.514 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.514 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.514 * [taylor]: Taking taylor expansion of y in x 1.514 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.514 * [taylor]: Taking taylor expansion of x in x 1.518 * [taylor]: Taking taylor expansion of 1 in y 1.518 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 1.518 * [taylor]: Taking taylor expansion of -1/2 in y 1.518 * [taylor]: Taking taylor expansion of y in y 1.521 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 1.521 * [taylor]: Taking taylor expansion of 3/8 in y 1.521 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.521 * [taylor]: Taking taylor expansion of y in y 1.528 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 1.528 * [taylor]: Taking taylor expansion of -5/16 in y 1.528 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.528 * [taylor]: Taking taylor expansion of y in y 1.533 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 1.533 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 1.533 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.533 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.533 * [taylor]: Taking taylor expansion of x in y 1.533 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.533 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.533 * [taylor]: Taking taylor expansion of y in y 1.534 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.534 * [taylor]: Taking taylor expansion of x in y 1.535 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.535 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.535 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.535 * [taylor]: Taking taylor expansion of x in x 1.535 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.535 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.535 * [taylor]: Taking taylor expansion of y in x 1.535 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.535 * [taylor]: Taking taylor expansion of x in x 1.538 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.538 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.538 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.538 * [taylor]: Taking taylor expansion of x in x 1.539 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.539 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.539 * [taylor]: Taking taylor expansion of y in x 1.539 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.539 * [taylor]: Taking taylor expansion of x in x 1.542 * [taylor]: Taking taylor expansion of 1 in y 1.542 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 1.542 * [taylor]: Taking taylor expansion of -1/2 in y 1.542 * [taylor]: Taking taylor expansion of y in y 1.546 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 1.546 * [taylor]: Taking taylor expansion of 3/8 in y 1.546 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.546 * [taylor]: Taking taylor expansion of y in y 1.552 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 1.552 * [taylor]: Taking taylor expansion of -5/16 in y 1.552 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.552 * [taylor]: Taking taylor expansion of y in y 1.558 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.558 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 1.558 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 1.558 * [taylor]: Taking taylor expansion of x in y 1.558 * [taylor]: Taking taylor expansion of (+ x y) in y 1.558 * [taylor]: Taking taylor expansion of x in y 1.558 * [taylor]: Taking taylor expansion of y in y 1.558 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.558 * [taylor]: Taking taylor expansion of x in x 1.558 * [taylor]: Taking taylor expansion of (+ x y) in x 1.558 * [taylor]: Taking taylor expansion of x in x 1.558 * [taylor]: Taking taylor expansion of y in x 1.558 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.558 * [taylor]: Taking taylor expansion of x in x 1.558 * [taylor]: Taking taylor expansion of (+ x y) in x 1.558 * [taylor]: Taking taylor expansion of x in x 1.558 * [taylor]: Taking taylor expansion of y in x 1.558 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.558 * [taylor]: Taking taylor expansion of y in y 1.560 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 1.560 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.560 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.560 * [taylor]: Taking taylor expansion of y in y 1.563 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.563 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.563 * [taylor]: Taking taylor expansion of y in y 1.573 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 1.573 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.573 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.573 * [taylor]: Taking taylor expansion of x in y 1.573 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.573 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.573 * [taylor]: Taking taylor expansion of y in y 1.573 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.573 * [taylor]: Taking taylor expansion of x in y 1.574 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.574 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.574 * [taylor]: Taking taylor expansion of x in x 1.574 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.574 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.574 * [taylor]: Taking taylor expansion of y in x 1.574 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.574 * [taylor]: Taking taylor expansion of x in x 1.575 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.576 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.576 * [taylor]: Taking taylor expansion of x in x 1.576 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.576 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.576 * [taylor]: Taking taylor expansion of y in x 1.576 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.576 * [taylor]: Taking taylor expansion of x in x 1.578 * [taylor]: Taking taylor expansion of 1 in y 1.579 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.579 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.579 * [taylor]: Taking taylor expansion of y in y 1.583 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.583 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.583 * [taylor]: Taking taylor expansion of y in y 1.587 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 1.587 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.587 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.587 * [taylor]: Taking taylor expansion of x in y 1.587 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.587 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.587 * [taylor]: Taking taylor expansion of y in y 1.587 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.588 * [taylor]: Taking taylor expansion of x in y 1.588 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.588 * [taylor]: 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