8.210 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.009 * * * [progress]: [2/2] Setting up program. 0.011 * [progress]: [Phase 2 of 3] Improving. 0.011 * [simplify]: Simplifying using # : (/ x (+ y x)) 0.014 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.016 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 0.016 * [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 0.021 * * * [progress]: generating rewritten candidates 0.021 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.027 * * * [progress]: generating series expansions 0.027 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.027 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.027 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.027 * [taylor]: Taking taylor expansion of x in y 0.027 * [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 0.029 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.029 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.029 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.029 * [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 0.040 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.040 * [taylor]: Taking taylor expansion of x in y 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 0.041 * [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 0.042 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.042 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.042 * [taylor]: Taking taylor expansion of y in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.044 * [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 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.049 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.053 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.053 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.053 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.053 * [taylor]: Taking taylor expansion of x in y 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.053 * [taylor]: Taking taylor expansion of x in y 0.054 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.054 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.054 * [taylor]: Taking taylor expansion of y in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.056 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.056 * [taylor]: Taking taylor expansion of y in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of 1 in y 0.059 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.065 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.066 * [taylor]: Taking taylor expansion of y in y 0.069 * * * [progress]: simplifying candidates 0.070 * [simplify]: Simplifying using # : (- (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 0.073 * * [simplify]: iteration 0 : 118 enodes (cost 153 ) 0.076 * * [simplify]: iteration 1 : 378 enodes (cost 144 ) 0.082 * * [simplify]: iteration 2 : 1031 enodes (cost 144 ) 0.100 * * [simplify]: iteration 3 : 3646 enodes (cost 144 ) 0.149 * * [simplify]: iteration 4 : 5001 enodes (cost 144 ) 0.150 * [simplify]: Simplified to: (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 0.151 * * * [progress]: adding candidates to table 0.203 * * [progress]: iteration 2 / 4 0.204 * * * [progress]: picking best candidate 0.206 * * * * [pick]: Picked # 0.206 * * * [progress]: localizing error 0.211 * * * [progress]: generating rewritten candidates 0.211 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.227 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.235 * * * [progress]: generating series expansions 0.235 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.235 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.235 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.235 * [taylor]: Taking taylor expansion of x in y 0.235 * [taylor]: Taking taylor expansion of (+ x y) in y 0.235 * [taylor]: Taking taylor expansion of x in y 0.235 * [taylor]: Taking taylor expansion of y in y 0.236 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.236 * [taylor]: Taking taylor expansion of (+ x y) in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.236 * [taylor]: Taking taylor expansion of y in x 0.236 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.236 * [taylor]: Taking taylor expansion of (+ x y) in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.236 * [taylor]: Taking taylor expansion of y in x 0.236 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.236 * [taylor]: Taking taylor expansion of y in y 0.237 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.238 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.238 * [taylor]: Taking taylor expansion of y in y 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.241 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.241 * [taylor]: Taking taylor expansion of y in y 0.248 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.248 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.248 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.248 * [taylor]: Taking taylor expansion of x in y 0.248 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.248 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.248 * [taylor]: Taking taylor expansion of y in y 0.249 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.249 * [taylor]: Taking taylor expansion of x in y 0.249 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.249 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.249 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.249 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.249 * [taylor]: Taking taylor expansion of y in x 0.249 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.252 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.252 * [taylor]: Taking taylor expansion of y in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.254 * [taylor]: Taking taylor expansion of 1 in y 0.255 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.255 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.255 * [taylor]: Taking taylor expansion of y in y 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.258 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.258 * [taylor]: Taking taylor expansion of y in y 0.263 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.263 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.263 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.263 * [taylor]: Taking taylor expansion of x in y 0.263 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.263 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.263 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.263 * [taylor]: Taking taylor expansion of x in y 0.263 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.263 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.263 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.263 * [taylor]: Taking taylor expansion of y in x 0.263 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.265 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.265 * [taylor]: Taking taylor expansion of y in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.271 * [taylor]: Taking taylor expansion of 1 in y 0.272 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.272 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.276 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.276 * [taylor]: Taking taylor expansion of y in y 0.280 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.280 * [approximate]: Taking taylor expansion of (/ 1 (+ x y)) in (y x) around 0 0.280 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 0.280 * [taylor]: Taking taylor expansion of (+ x y) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of y in x 0.280 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 0.280 * [taylor]: Taking taylor expansion of (+ x y) in y 0.280 * [taylor]: Taking taylor expansion of x in y 0.280 * [taylor]: Taking taylor expansion of y in y 0.280 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 0.280 * [taylor]: Taking taylor expansion of (+ x y) in y 0.280 * [taylor]: Taking taylor expansion of x in y 0.280 * [taylor]: Taking taylor expansion of y in y 0.280 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.281 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.282 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.282 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.285 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.292 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in (y x) around 0 0.292 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 0.292 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.292 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.292 * [taylor]: Taking taylor expansion of y in x 0.292 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.293 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 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 0.294 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 0.294 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.294 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.294 * [taylor]: Taking taylor expansion of y in y 0.294 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.294 * [taylor]: Taking taylor expansion of x in y 0.295 * [taylor]: Taking taylor expansion of 1 in x 0.295 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.295 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.298 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.298 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.302 * [approximate]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in (y x) around 0 0.302 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in x 0.302 * [taylor]: Taking taylor expansion of -1 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 (/ -1 (+ (/ 1 y) (/ 1 x))) in y 0.303 * [taylor]: Taking taylor expansion of -1 in y 0.303 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.303 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.303 * [taylor]: Taking taylor expansion of y in y 0.303 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.303 * [taylor]: Taking taylor expansion of x in y 0.304 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in y 0.304 * [taylor]: Taking taylor expansion of -1 in y 0.304 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.304 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.304 * [taylor]: Taking taylor expansion of y in y 0.304 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.304 * [taylor]: Taking taylor expansion of x in y 0.305 * [taylor]: Taking taylor expansion of -1 in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.308 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.309 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.313 * * * [progress]: simplifying candidates 0.314 * [simplify]: Simplifying using # : (* x (/ 1 (+ y x))) (+ (log x) (- (log (+ y x)))) (+ (log x) (- 0 (log (+ y x)))) (+ (log x) (- (log 1) (log (+ y x)))) (+ (log x) (log (/ 1 (+ y x)))) (log (* x (/ 1 (+ y x)))) (exp (* x (/ 1 (+ y x)))) (* (* (* x x) x) (/ (* (* 1 1) 1) (* (* (+ y x) (+ y x)) (+ y x)))) (* (* (* x x) x) (* (* (/ 1 (+ y x)) (/ 1 (+ y x))) (/ 1 (+ y x)))) (* (cbrt (* x (/ 1 (+ y x)))) (cbrt (* x (/ 1 (+ y x))))) (cbrt (* x (/ 1 (+ y x)))) (* (* (* x (/ 1 (+ y x))) (* x (/ 1 (+ y x)))) (* x (/ 1 (+ y x)))) (sqrt (* x (/ 1 (+ y x)))) (sqrt (* x (/ 1 (+ y x)))) (* (sqrt x) (sqrt (/ 1 (+ y x)))) (* (sqrt x) (sqrt (/ 1 (+ y x)))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ y x)))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ y x)))) (* (sqrt x) (/ 1 (sqrt (+ y x)))) (* (sqrt x) (/ 1 (sqrt (+ y x)))) (* x (* (cbrt (/ 1 (+ y x))) (cbrt (/ 1 (+ y x))))) (* x (sqrt (/ 1 (+ y x)))) (* x (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ y x)) (cbrt (+ y x))))) (* x (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ y x)))) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (sqrt 1) (* (cbrt (+ y x)) (cbrt (+ y x))))) (* x (/ (sqrt 1) (sqrt (+ y x)))) (* x (/ (sqrt 1) 1)) (* x (/ (sqrt 1) 1)) (* x (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x))))) (* x (/ 1 (sqrt (+ y x)))) (* x (/ 1 1)) (* x (/ 1 1)) (* x 1) (* x 1) (* x (/ 1 (+ (pow y 3) (pow x 3)))) (* x (/ 1 (- (* y y) (* x x)))) (* (cbrt x) (/ 1 (+ y x))) (* (sqrt x) (/ 1 (+ y x))) (* x (/ 1 (+ y x))) (* x 1) (- 1) (- (log (+ y x))) (- 0 (log (+ y x))) (- (log 1) (log (+ y x))) (log (/ 1 (+ y x))) (exp (/ 1 (+ y x))) (/ (* (* 1 1) 1) (* (* (+ y x) (+ y x)) (+ y x))) (* (cbrt (/ 1 (+ y x))) (cbrt (/ 1 (+ y x)))) (cbrt (/ 1 (+ y x))) (* (* (/ 1 (+ y x)) (/ 1 (+ y x))) (/ 1 (+ y x))) (sqrt (/ 1 (+ y x))) (sqrt (/ 1 (+ y x))) (- 1) (- (+ y x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt 1) (cbrt (+ y x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ y x))) (/ (cbrt 1) (sqrt (+ y x))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ y x)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ y x)) (/ (sqrt 1) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt 1) (cbrt (+ y x))) (/ (sqrt 1) (sqrt (+ y x))) (/ (sqrt 1) (sqrt (+ y x))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ y x)) (/ (sqrt 1) 1) (/ (sqrt 1) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 1) (/ 1 (+ y x)) (/ 1 1) (/ 1 (+ y x)) (/ 1 (+ y x)) (/ (+ y x) 1) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (sqrt (+ y x))) (/ 1 1) (/ 1 1) (/ (+ y x) (cbrt 1)) (/ (+ y x) (sqrt 1)) (/ (+ y x) 1) (/ 1 (+ (pow y 3) (pow x 3))) (/ 1 (- (* y y) (* x x))) 0 0 0 0 0 0 0.319 * * [simplify]: iteration 0 : 226 enodes (cost 346 ) 0.324 * * [simplify]: iteration 1 : 996 enodes (cost 296 ) 0.342 * * [simplify]: iteration 2 : 3449 enodes (cost 258 ) 0.374 * * [simplify]: iteration 3 : 5001 enodes (cost 258 ) 0.375 * [simplify]: Simplified to: (/ x (+ y x)) (- (log x) (log (+ y x))) (- (log x) (log (+ y x))) (- (log x) (log (+ y x))) (- (log x) (log (+ y x))) (- (log x) (log (+ y x))) (exp (* x (/ 1 (+ y x)))) (pow (/ x (+ y x)) 3) (pow (/ x (+ y x)) 3) (* (cbrt (* x (/ 1 (+ y x)))) (cbrt (* x (/ 1 (+ y x))))) (cbrt (* x (/ 1 (+ y x)))) (pow (/ x (+ y x)) 3) (sqrt (* x (/ 1 (+ y x)))) (sqrt (* x (/ 1 (+ y x)))) (* (sqrt x) (sqrt (/ 1 (+ y x)))) (* (sqrt x) (sqrt (/ 1 (+ y x)))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (* x (* (cbrt (/ 1 (+ y x))) (cbrt (/ 1 (+ y x))))) (* x (sqrt (/ 1 (+ y x)))) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x x x (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) (/ (cbrt x) (+ y x)) (/ (sqrt x) (+ y x)) (/ x (+ y x)) x (- 1) (log (/ 1 (+ y x))) (log (/ 1 (+ y x))) (log (/ 1 (+ y x))) (log (/ 1 (+ y x))) (exp (/ 1 (+ y x))) (/ 1 (pow (+ y x) 3)) (* (cbrt (/ 1 (+ y x))) (cbrt (/ 1 (+ y x)))) (cbrt (/ 1 (+ y x))) (/ 1 (pow (+ y x) 3)) (sqrt (/ 1 (+ y x))) (sqrt (/ 1 (+ y x))) (- 1) (- (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) 1 (/ 1 (+ y x)) 1 (/ 1 (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) 1 (/ 1 (+ y x)) 1 (/ 1 (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) 1 (/ 1 (+ y x)) 1 (/ 1 (+ y x)) (/ 1 (+ y x)) (+ y x) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (sqrt (+ y x))) 1 1 (+ y x) (+ y x) (+ y x) (/ 1 (+ (pow y 3) (pow x 3))) (/ 1 (- (* y y) (* x x))) 0 0 0 0 0 0 0.376 * * * [progress]: adding candidates to table 0.473 * * [progress]: iteration 3 / 4 0.473 * * * [progress]: picking best candidate 0.474 * * * * [pick]: Picked # 0.474 * * * [progress]: localizing error 0.480 * * * [progress]: generating rewritten candidates 0.480 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.486 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.493 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.533 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.548 * * * [progress]: generating series expansions 0.548 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.549 * [approximate]: Taking taylor expansion of (sqrt (/ x (+ x y))) in (x y) around 0 0.549 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in y 0.549 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.549 * [taylor]: Taking taylor expansion of x in y 0.549 * [taylor]: Taking taylor expansion of (+ x y) in y 0.549 * [taylor]: Taking taylor expansion of x in y 0.549 * [taylor]: Taking taylor expansion of y in y 0.550 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 0.550 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.550 * [taylor]: Taking taylor expansion of (+ x y) in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.550 * [taylor]: Taking taylor expansion of y in x 0.551 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 0.551 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.551 * [taylor]: Taking taylor expansion of (+ x y) in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.551 * [taylor]: Taking taylor expansion of y in x 0.552 * [taylor]: Taking taylor expansion of 0 in y 0.552 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 0.552 * [taylor]: Taking taylor expansion of +nan.0 in y 0.552 * [taylor]: Taking taylor expansion of y in y 0.554 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow y 2)) in y 0.554 * [taylor]: Taking taylor expansion of +nan.0 in y 0.554 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.554 * [taylor]: Taking taylor expansion of y in y 0.557 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.557 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.557 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.557 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.557 * [taylor]: Taking taylor expansion of x in y 0.557 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.557 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.557 * [taylor]: Taking taylor expansion of y in y 0.557 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.557 * [taylor]: Taking taylor expansion of x in y 0.558 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.558 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.558 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.558 * [taylor]: Taking taylor expansion of x in x 0.558 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.558 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.558 * [taylor]: Taking taylor expansion of y in x 0.558 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.558 * [taylor]: Taking taylor expansion of x in x 0.562 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.562 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.562 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.562 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.562 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.562 * [taylor]: Taking taylor expansion of y in x 0.562 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.566 * [taylor]: Taking taylor expansion of 1 in y 0.566 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.566 * [taylor]: Taking taylor expansion of -1/2 in y 0.566 * [taylor]: Taking taylor expansion of y in y 0.569 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 0.569 * [taylor]: Taking taylor expansion of 3/8 in y 0.569 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.569 * [taylor]: Taking taylor expansion of y in y 0.580 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 0.580 * [taylor]: Taking taylor expansion of -5/16 in y 0.580 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.580 * [taylor]: Taking taylor expansion of y in y 0.585 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.585 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.585 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.585 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.585 * [taylor]: Taking taylor expansion of x in y 0.585 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.585 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.585 * [taylor]: Taking taylor expansion of y in y 0.585 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.585 * [taylor]: Taking taylor expansion of x in y 0.586 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.586 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.586 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.586 * [taylor]: Taking taylor expansion of x in x 0.586 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.586 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.586 * [taylor]: Taking taylor expansion of y in x 0.586 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.586 * [taylor]: Taking taylor expansion of x in x 0.590 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.590 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.590 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.590 * [taylor]: Taking taylor expansion of x in x 0.590 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.590 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.590 * [taylor]: Taking taylor expansion of y in x 0.590 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.590 * [taylor]: Taking taylor expansion of x in x 0.594 * [taylor]: Taking taylor expansion of 1 in y 0.594 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.594 * [taylor]: Taking taylor expansion of -1/2 in y 0.594 * [taylor]: Taking taylor expansion of y in y 0.597 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 0.597 * [taylor]: Taking taylor expansion of 3/8 in y 0.597 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.597 * [taylor]: Taking taylor expansion of y in y 0.603 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 0.603 * [taylor]: Taking taylor expansion of -5/16 in y 0.603 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.603 * [taylor]: Taking taylor expansion of y in y 0.608 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.608 * [approximate]: Taking taylor expansion of (sqrt (/ x (+ x y))) in (x y) around 0 0.608 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in y 0.608 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.608 * [taylor]: Taking taylor expansion of x in y 0.608 * [taylor]: Taking taylor expansion of (+ x y) in y 0.608 * [taylor]: Taking taylor expansion of x in y 0.608 * [taylor]: Taking taylor expansion of y in y 0.609 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 0.609 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.609 * [taylor]: Taking taylor expansion of (+ x y) in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.609 * [taylor]: Taking taylor expansion of y in x 0.610 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 0.610 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.610 * [taylor]: Taking taylor expansion of (+ x y) in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.610 * [taylor]: Taking taylor expansion of y in x 0.611 * [taylor]: Taking taylor expansion of 0 in y 0.611 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 0.611 * [taylor]: Taking taylor expansion of +nan.0 in y 0.611 * [taylor]: Taking taylor expansion of y in y 0.613 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow y 2)) in y 0.613 * [taylor]: Taking taylor expansion of +nan.0 in y 0.613 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.613 * [taylor]: Taking taylor expansion of y in y 0.616 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.616 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.616 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.616 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.616 * [taylor]: Taking taylor expansion of x in y 0.616 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.616 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.616 * [taylor]: Taking taylor expansion of y in y 0.616 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.616 * [taylor]: Taking taylor expansion of x in y 0.617 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.617 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.617 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.617 * [taylor]: Taking taylor expansion of x in x 0.617 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.617 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.617 * [taylor]: Taking taylor expansion of y in x 0.617 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.617 * [taylor]: Taking taylor expansion of x in x 0.621 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.621 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.621 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.621 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.621 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.621 * [taylor]: Taking taylor expansion of y in x 0.621 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.625 * [taylor]: Taking taylor expansion of 1 in y 0.625 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.625 * [taylor]: Taking taylor expansion of -1/2 in y 0.625 * [taylor]: Taking taylor expansion of y in y 0.629 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 0.629 * [taylor]: Taking taylor expansion of 3/8 in y 0.629 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.629 * [taylor]: Taking taylor expansion of y in y 0.635 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 0.635 * [taylor]: Taking taylor expansion of -5/16 in y 0.635 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.635 * [taylor]: Taking taylor expansion of y in y 0.640 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.640 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.640 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.640 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.640 * [taylor]: Taking taylor expansion of x in y 0.640 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.640 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.640 * [taylor]: Taking taylor expansion of y in y 0.640 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.640 * [taylor]: Taking taylor expansion of x in y 0.641 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.641 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.641 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.642 * [taylor]: Taking taylor expansion of x in x 0.642 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.642 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.642 * [taylor]: Taking taylor expansion of y in x 0.642 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.642 * [taylor]: Taking taylor expansion of x in x 0.645 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.645 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.645 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.645 * [taylor]: Taking taylor expansion of x in x 0.645 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.645 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.645 * [taylor]: Taking taylor expansion of y in x 0.645 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.645 * [taylor]: Taking taylor expansion of x in x 0.649 * [taylor]: Taking taylor expansion of 1 in y 0.649 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.649 * [taylor]: Taking taylor expansion of -1/2 in y 0.649 * [taylor]: Taking taylor expansion of y in y 0.652 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 0.652 * [taylor]: Taking taylor expansion of 3/8 in y 0.652 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.652 * [taylor]: Taking taylor expansion of y in y 0.661 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 0.661 * [taylor]: Taking taylor expansion of -5/16 in y 0.661 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.661 * [taylor]: Taking taylor expansion of y in y 0.666 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.666 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.666 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.666 * [taylor]: Taking taylor expansion of x in y 0.666 * [taylor]: Taking taylor expansion of (+ x y) in y 0.666 * [taylor]: Taking taylor expansion of x in y 0.666 * [taylor]: Taking taylor expansion of y in y 0.666 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.666 * [taylor]: Taking taylor expansion of x in x 0.666 * [taylor]: Taking taylor expansion of (+ x y) in x 0.666 * [taylor]: Taking taylor expansion of x in x 0.666 * [taylor]: Taking taylor expansion of y in x 0.666 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.666 * [taylor]: Taking taylor expansion of x in x 0.666 * [taylor]: Taking taylor expansion of (+ x y) in x 0.666 * [taylor]: Taking taylor expansion of x in x 0.666 * [taylor]: Taking taylor expansion of y in x 0.666 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.666 * [taylor]: Taking taylor expansion of y in y 0.667 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.667 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.667 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.667 * [taylor]: Taking taylor expansion of y in y 0.671 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.671 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.671 * [taylor]: Taking taylor expansion of y in y 0.677 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.677 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.678 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.678 * [taylor]: Taking taylor expansion of x in y 0.678 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.678 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.678 * [taylor]: Taking taylor expansion of y in y 0.678 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.678 * [taylor]: Taking taylor expansion of x in y 0.678 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.678 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.678 * [taylor]: Taking taylor expansion of x in x 0.678 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.678 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.678 * [taylor]: Taking taylor expansion of y in x 0.678 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.678 * [taylor]: Taking taylor expansion of x in x 0.680 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.680 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.680 * [taylor]: Taking taylor expansion of x in x 0.680 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.680 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.680 * [taylor]: Taking taylor expansion of y in x 0.680 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.680 * [taylor]: Taking taylor expansion of x in x 0.682 * [taylor]: Taking taylor expansion of 1 in y 0.683 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.683 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.683 * [taylor]: Taking taylor expansion of y in y 0.687 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.687 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.687 * [taylor]: Taking taylor expansion of y in y 0.691 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.691 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.691 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.691 * [taylor]: Taking taylor expansion of x in y 0.691 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.691 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.691 * [taylor]: Taking taylor expansion of y in y 0.691 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.691 * [taylor]: Taking taylor expansion of x in y 0.692 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.692 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.692 * [taylor]: Taking taylor expansion of x in x 0.692 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.692 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.692 * [taylor]: Taking taylor expansion of y in x 0.692 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.692 * [taylor]: Taking taylor expansion of x in x 0.694 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.694 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.694 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.694 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.694 * [taylor]: Taking taylor expansion of y in x 0.694 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.696 * [taylor]: Taking taylor expansion of 1 in y 0.697 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.697 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.697 * [taylor]: Taking taylor expansion of y in y 0.700 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.700 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.700 * [taylor]: Taking taylor expansion of y in y 0.704 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 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 0.705 * [taylor]: Taking taylor expansion of (+ x y) in x 0.705 * [taylor]: Taking taylor expansion of x in x 0.705 * [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 0.716 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.716 * [taylor]: Taking taylor expansion of x in y 0.716 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.716 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.716 * [taylor]: Taking taylor expansion of x in x 0.716 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.716 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.716 * [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 0.718 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.718 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.718 * [taylor]: Taking taylor expansion of x in x 0.718 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.718 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.718 * [taylor]: Taking taylor expansion of y in x 0.718 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.718 * [taylor]: Taking taylor expansion of x in x 0.720 * [taylor]: Taking taylor expansion of 1 in y 0.721 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.721 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.721 * [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 0.729 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.729 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.729 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.729 * [taylor]: Taking taylor expansion of x in y 0.729 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.729 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.729 * [taylor]: Taking taylor expansion of y in y 0.729 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.729 * [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 0.730 * [taylor]: Taking taylor expansion of x in x 0.730 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.730 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.730 * [taylor]: Taking taylor expansion of y in x 0.730 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.730 * [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 0.735 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.735 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.735 * [taylor]: Taking taylor expansion of y in y 0.741 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.741 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.741 * [taylor]: Taking taylor expansion of y in y 0.745 * * * [progress]: simplifying candidates 0.748 * [simplify]: Simplifying using # : (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 x)))) (sqrt (sqrt (/ x (+ y x)))) (sqrt (sqrt (/ x (+ y x)))) (sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x))))) (sqrt (/ (cbrt x) (cbrt (+ y x)))) (sqrt (/ (* (cbrt x) (cbrt x)) 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(# # #) 1.215 * * * [regime]: Found split indices: #