8.414 * [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 (+ y x)) 0.014 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.015 * * [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 0.020 * * * [progress]: generating rewritten candidates 0.020 * * * * [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 0.027 * [taylor]: Taking taylor expansion of x in y 0.027 * [taylor]: Taking taylor expansion of y in y 0.027 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.027 * [taylor]: Taking taylor expansion of x in x 0.027 * [taylor]: Taking taylor expansion of (+ x y) in x 0.027 * [taylor]: Taking taylor expansion of x in x 0.027 * [taylor]: Taking taylor expansion of y in x 0.027 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.027 * [taylor]: Taking taylor expansion of x in x 0.027 * [taylor]: Taking taylor expansion of (+ x y) in x 0.027 * [taylor]: Taking taylor expansion of x in x 0.027 * [taylor]: Taking taylor expansion of y in x 0.027 * [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 0.032 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.032 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.032 * [taylor]: Taking taylor expansion of y in y 0.039 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.039 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.039 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.039 * [taylor]: Taking taylor expansion of x in y 0.039 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.039 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.039 * [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 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.042 * [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 0.045 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.045 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.045 * [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 0.053 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.053 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.055 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.055 * [taylor]: Taking taylor expansion of y in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of 1 in y 0.058 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.058 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.062 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.062 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.062 * [taylor]: Taking taylor expansion of y in y 0.066 * * * [progress]: simplifying candidates 0.066 * [simplify]: Simplifying using # : (expm1 (/ x (+ y x))) (log1p (/ x (+ y x))) (- (log x) (log (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (/ (* (* x x) x) (* (* (+ y x) (+ y x)) (+ y x))) (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) (cbrt (/ x (+ y x))) (* (* (/ x (+ y x)) (/ x (+ y x))) (/ x (+ y x))) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (- x) (- (+ y x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (/ 1 1) (/ x (+ y x)) (/ 1 1) (/ x (+ y x)) (/ 1 (+ y x)) (/ (+ y x) x) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) (/ x 1) (/ x 1) (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ y x) x) (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) 0 0 0 0.070 * * [simplify]: iteration 0 : 121 enodes (cost 159 ) 0.073 * * [simplify]: iteration 1 : 391 enodes (cost 150 ) 0.078 * * [simplify]: iteration 2 : 1069 enodes (cost 150 ) 0.097 * * [simplify]: iteration 3 : 3853 enodes (cost 150 ) 0.145 * * [simplify]: iteration 4 : 5001 enodes (cost 150 ) 0.146 * [simplify]: Simplified to: (expm1 (/ x (+ y x))) (log1p (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (pow (/ x (+ y x)) 3) (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) (cbrt (/ x (+ y x))) (pow (/ x (+ y x)) 3) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (- x) (- (+ y x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (sqrt x) (/ (sqrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ y x)) (/ (+ y x) x) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ y x) x) (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) 0 0 0 0.146 * * * [progress]: adding candidates to table 0.206 * * [progress]: iteration 2 / 4 0.206 * * * [progress]: picking best candidate 0.209 * * * * [pick]: Picked # 0.209 * * * [progress]: localizing error 0.213 * * * [progress]: generating rewritten candidates 0.213 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.230 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.238 * * * [progress]: generating series expansions 0.238 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.238 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.238 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.238 * [taylor]: Taking taylor expansion of x in y 0.238 * [taylor]: Taking taylor expansion of (+ x y) in y 0.238 * [taylor]: Taking taylor expansion of x in y 0.238 * [taylor]: Taking taylor expansion of y in y 0.239 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of (+ x y) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of y in x 0.239 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of (+ x y) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of y in x 0.239 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.239 * [taylor]: Taking taylor expansion of y in y 0.240 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.240 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.240 * [taylor]: Taking taylor expansion of y in y 0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.243 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.243 * [taylor]: Taking taylor expansion of y in y 0.250 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.250 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.250 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.250 * [taylor]: Taking taylor expansion of x in y 0.250 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.250 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.250 * [taylor]: Taking taylor expansion of y in y 0.251 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.251 * [taylor]: Taking taylor expansion of x in y 0.251 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.251 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.251 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.251 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.251 * [taylor]: Taking taylor expansion of y in x 0.251 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.253 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.253 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.253 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.253 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.253 * [taylor]: Taking taylor expansion of y in x 0.253 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of 1 in y 0.256 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.256 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.256 * [taylor]: Taking taylor expansion of y in y 0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.259 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.259 * [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 0.264 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.264 * [taylor]: Taking taylor expansion of x in y 0.264 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.264 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.264 * [taylor]: Taking taylor expansion of 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 0.266 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.266 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.266 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.266 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.266 * [taylor]: Taking taylor expansion of y in x 0.266 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.268 * [taylor]: Taking taylor expansion of 1 in y 0.269 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.269 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.269 * [taylor]: Taking taylor expansion of y in y 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.272 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.279 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.279 * [approximate]: Taking taylor expansion of (/ 1 (+ x y)) in (y x) around 0 0.279 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 0.279 * [taylor]: Taking taylor expansion of (+ x y) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.279 * [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 0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.281 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.284 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.291 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in (y x) around 0 0.291 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 0.291 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.291 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.291 * [taylor]: Taking taylor expansion of y in x 0.291 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.291 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 0.291 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.292 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.292 * [taylor]: Taking taylor expansion of y in y 0.292 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.292 * [taylor]: Taking taylor expansion of x in y 0.292 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 0.292 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.292 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.292 * [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 1 in x 0.294 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.294 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.297 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.300 * [approximate]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in (y x) around 0 0.300 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in x 0.301 * [taylor]: Taking taylor expansion of -1 in x 0.301 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.301 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.301 * [taylor]: Taking taylor expansion of y in x 0.301 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in y 0.301 * [taylor]: Taking taylor expansion of -1 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 (/ -1 (+ (/ 1 y) (/ 1 x))) in y 0.302 * [taylor]: Taking taylor expansion of -1 in y 0.302 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.302 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.302 * [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 0.303 * [taylor]: Taking taylor expansion of -1 in x 0.304 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.304 * [taylor]: Taking taylor expansion of x in x 0.307 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.307 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.307 * [taylor]: Taking taylor expansion of x in x 0.311 * * * [progress]: simplifying candidates 0.312 * [simplify]: Simplifying using # : (expm1 (* x (/ 1 (+ y x)))) (log1p (* x (/ 1 (+ y x)))) (* 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) (expm1 (/ 1 (+ y x))) (log1p (/ 1 (+ y x))) (- 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 0.316 * * [simplify]: iteration 0 : 231 enodes (cost 360 ) 0.321 * * [simplify]: iteration 1 : 1013 enodes (cost 310 ) 0.338 * * [simplify]: iteration 2 : 3518 enodes (cost 272 ) 0.367 * * [simplify]: iteration 3 : 5002 enodes (cost 272 ) 0.369 * [simplify]: Simplified to: (expm1 (* x (/ 1 (+ y x)))) (log1p (* x (/ 1 (+ y x)))) (/ 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 (expm1 (/ 1 (+ y x))) (log1p (/ 1 (+ y 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 0.369 * * * [progress]: adding candidates to table 0.480 * * [progress]: iteration 3 / 4 0.480 * * * [progress]: picking best candidate 0.481 * * * * [pick]: Picked # 0.481 * * * [progress]: localizing error 0.487 * * * [progress]: generating rewritten candidates 0.487 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.494 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.501 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.543 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.557 * * * [progress]: generating series expansions 0.558 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.558 * [approximate]: Taking taylor expansion of (sqrt (/ x (+ x y))) in (x y) around 0 0.558 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in y 0.558 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.558 * [taylor]: Taking taylor expansion of x in y 0.558 * [taylor]: Taking taylor expansion of (+ x y) in y 0.558 * [taylor]: Taking taylor expansion of x in y 0.558 * [taylor]: Taking taylor expansion of y in y 0.559 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 0.559 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.559 * [taylor]: Taking taylor expansion of (+ x y) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.559 * [taylor]: Taking taylor expansion of y in x 0.560 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 0.560 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of (+ x y) in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of y in x 0.561 * [taylor]: Taking taylor expansion of 0 in y 0.561 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 0.561 * [taylor]: Taking taylor expansion of +nan.0 in y 0.561 * [taylor]: Taking taylor expansion of y in y 0.563 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow y 2)) in y 0.563 * [taylor]: Taking taylor expansion of +nan.0 in y 0.563 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.563 * [taylor]: Taking taylor expansion of y in y 0.566 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.566 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.566 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.566 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.566 * [taylor]: Taking taylor expansion of x in y 0.566 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.566 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.566 * [taylor]: Taking taylor expansion of y in y 0.566 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.566 * [taylor]: Taking taylor expansion of x in y 0.567 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.567 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.567 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.567 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.567 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.567 * [taylor]: Taking taylor expansion of y in x 0.567 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.571 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.571 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.571 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.571 * [taylor]: Taking taylor expansion of y in x 0.572 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.572 * [taylor]: Taking taylor expansion of x in x 0.580 * [taylor]: Taking taylor expansion of 1 in y 0.580 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.580 * [taylor]: Taking taylor expansion of -1/2 in y 0.580 * [taylor]: Taking taylor expansion of y in y 0.583 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 0.583 * [taylor]: Taking taylor expansion of 3/8 in y 0.583 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.583 * [taylor]: Taking taylor expansion of y in y 0.589 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 0.589 * [taylor]: Taking taylor expansion of -5/16 in y 0.589 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.589 * [taylor]: Taking taylor expansion of y in y 0.594 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.595 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.595 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.595 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.595 * [taylor]: Taking taylor expansion of x in y 0.595 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.595 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.595 * [taylor]: Taking taylor expansion of y in y 0.595 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.595 * [taylor]: Taking taylor expansion of x in y 0.596 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.596 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.596 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.596 * [taylor]: Taking taylor expansion of x in x 0.596 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.596 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.596 * [taylor]: Taking taylor expansion of y in x 0.596 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.596 * [taylor]: Taking taylor expansion of x in x 0.600 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.600 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.600 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.600 * [taylor]: Taking taylor expansion of x in x 0.600 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.600 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.600 * [taylor]: Taking taylor expansion of y in x 0.600 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.600 * [taylor]: Taking taylor expansion of x in x 0.603 * [taylor]: Taking taylor expansion of 1 in y 0.603 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.603 * [taylor]: Taking taylor expansion of -1/2 in y 0.603 * [taylor]: Taking taylor expansion of y in y 0.607 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 0.607 * [taylor]: Taking taylor expansion of 3/8 in y 0.607 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.607 * [taylor]: Taking taylor expansion of y in y 0.613 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 0.613 * [taylor]: Taking taylor expansion of -5/16 in y 0.613 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.613 * [taylor]: Taking taylor expansion of y in y 0.619 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.619 * [approximate]: Taking taylor expansion of (sqrt (/ x (+ x y))) in (x y) around 0 0.619 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in y 0.619 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.619 * [taylor]: Taking taylor expansion of x in y 0.619 * [taylor]: Taking taylor expansion of (+ x y) in y 0.619 * [taylor]: Taking taylor expansion of x in y 0.619 * [taylor]: Taking taylor expansion of y in y 0.621 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 0.621 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.621 * [taylor]: Taking taylor expansion of (+ x y) in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.621 * [taylor]: Taking taylor expansion of y in x 0.621 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 0.621 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.621 * [taylor]: Taking taylor expansion of (+ x y) in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.621 * [taylor]: Taking taylor expansion of y in x 0.622 * [taylor]: Taking taylor expansion of 0 in y 0.622 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 0.622 * [taylor]: Taking taylor expansion of +nan.0 in y 0.622 * [taylor]: Taking taylor expansion of y in y 0.624 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow y 2)) in y 0.624 * [taylor]: Taking taylor expansion of +nan.0 in y 0.624 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.624 * [taylor]: Taking taylor expansion of y in y 0.627 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.627 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.627 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.627 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.627 * [taylor]: Taking taylor expansion of x in y 0.627 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.627 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.627 * [taylor]: Taking taylor expansion of y in y 0.627 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.627 * [taylor]: Taking taylor expansion of x in y 0.628 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.628 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.628 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.628 * [taylor]: Taking taylor expansion of x in x 0.628 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.628 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.628 * [taylor]: Taking taylor expansion of y in x 0.628 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.628 * [taylor]: Taking taylor expansion of x in x 0.632 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.632 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.632 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.632 * [taylor]: Taking taylor expansion of x in x 0.632 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.632 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.632 * [taylor]: Taking taylor expansion of y in x 0.632 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.632 * [taylor]: Taking taylor expansion of x in x 0.636 * [taylor]: Taking taylor expansion of 1 in y 0.636 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.636 * [taylor]: Taking taylor expansion of -1/2 in y 0.636 * [taylor]: Taking taylor expansion of y in y 0.639 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 0.639 * [taylor]: Taking taylor expansion of 3/8 in y 0.639 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.639 * [taylor]: Taking taylor expansion of y in y 0.645 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 0.645 * [taylor]: Taking taylor expansion of -5/16 in y 0.645 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.645 * [taylor]: Taking taylor expansion of y in y 0.650 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.650 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.650 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.650 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.650 * [taylor]: Taking taylor expansion of x in y 0.650 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.650 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.651 * [taylor]: Taking taylor expansion of y in y 0.651 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.651 * [taylor]: Taking taylor expansion of x in y 0.652 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.652 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.652 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.652 * [taylor]: Taking taylor expansion of x in x 0.652 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.652 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.652 * [taylor]: Taking taylor expansion of y in x 0.652 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.652 * [taylor]: Taking taylor expansion of x in x 0.655 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.655 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.655 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.656 * [taylor]: Taking taylor expansion of x in x 0.656 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.656 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.656 * [taylor]: Taking taylor expansion of y in x 0.656 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.656 * [taylor]: Taking taylor expansion of x in x 0.868 * [taylor]: Taking taylor expansion of 1 in y 0.868 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.868 * [taylor]: Taking taylor expansion of -1/2 in y 0.868 * [taylor]: Taking taylor expansion of y in y 0.872 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 0.872 * [taylor]: Taking taylor expansion of 3/8 in y 0.872 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.872 * [taylor]: Taking taylor expansion of y in y 0.879 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 0.879 * [taylor]: Taking taylor expansion of -5/16 in y 0.879 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.879 * [taylor]: Taking taylor expansion of y in y 0.884 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.884 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.884 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.884 * [taylor]: Taking taylor expansion of x in y 0.884 * [taylor]: Taking taylor expansion of (+ x y) in y 0.884 * [taylor]: Taking taylor expansion of x in y 0.884 * [taylor]: Taking taylor expansion of y in y 0.884 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.884 * [taylor]: Taking taylor expansion of x in x 0.884 * [taylor]: Taking taylor expansion of (+ x y) in x 0.884 * [taylor]: Taking taylor expansion of x in x 0.884 * [taylor]: Taking taylor expansion of y in x 0.884 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.884 * [taylor]: Taking taylor expansion of x in x 0.884 * [taylor]: Taking taylor expansion of (+ x y) in x 0.884 * [taylor]: Taking taylor expansion of x in x 0.884 * [taylor]: Taking taylor expansion of y in x 0.884 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.885 * [taylor]: Taking taylor expansion of y in y 0.886 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.886 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.886 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.886 * [taylor]: Taking taylor expansion of y in y 0.889 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.889 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.889 * [taylor]: Taking taylor expansion of y in y 0.896 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.896 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.896 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.896 * [taylor]: Taking taylor expansion of x in y 0.896 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.896 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.896 * [taylor]: Taking taylor expansion of y in y 0.896 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.896 * [taylor]: Taking taylor expansion of x in y 0.897 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.897 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.897 * [taylor]: Taking taylor expansion of x in x 0.897 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.897 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.897 * [taylor]: Taking taylor expansion of y in x 0.897 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.897 * [taylor]: Taking taylor expansion of x in x 0.898 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.898 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.898 * [taylor]: Taking taylor expansion of x in x 0.898 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.898 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.898 * [taylor]: Taking taylor expansion of y in x 0.899 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.899 * [taylor]: Taking taylor expansion of x in x 0.900 * [taylor]: Taking taylor expansion of 1 in y 0.902 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.902 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.902 * [taylor]: Taking taylor expansion of y in y 0.905 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.905 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.905 * [taylor]: Taking taylor expansion of y in y 0.909 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.909 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.909 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.909 * [taylor]: Taking taylor expansion of x in y 0.909 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.909 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.909 * [taylor]: Taking taylor expansion of y in y 0.910 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.910 * [taylor]: Taking taylor expansion of x in y 0.910 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.910 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.910 * [taylor]: Taking taylor expansion of x in x 0.910 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.910 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.910 * [taylor]: Taking taylor expansion of y in x 0.910 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.910 * [taylor]: Taking taylor expansion of x in x 0.912 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.912 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.912 * [taylor]: Taking taylor expansion of x in x 0.912 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.912 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.912 * [taylor]: Taking taylor expansion of y in x 0.912 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.912 * [taylor]: Taking taylor expansion of x in x 0.914 * [taylor]: Taking taylor expansion of 1 in y 0.915 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.915 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.915 * [taylor]: Taking taylor expansion of y in y 0.919 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.919 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.919 * [taylor]: Taking taylor expansion of y in y 0.923 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.923 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.923 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.923 * [taylor]: Taking taylor expansion of x in y 0.923 * [taylor]: Taking taylor expansion of (+ x y) in y 0.923 * [taylor]: Taking taylor expansion of x in y 0.923 * [taylor]: Taking taylor expansion of y in y 0.923 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.923 * [taylor]: Taking taylor expansion of x in x 0.923 * [taylor]: Taking taylor expansion of (+ x y) in x 0.923 * [taylor]: Taking taylor expansion of x in x 0.923 * [taylor]: Taking taylor expansion of y in x 0.923 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.923 * [taylor]: Taking taylor expansion of x in x 0.923 * [taylor]: Taking taylor expansion of (+ x y) in x 0.923 * [taylor]: Taking taylor expansion of x in x 0.923 * [taylor]: Taking taylor expansion of y in x 0.924 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.924 * [taylor]: Taking taylor expansion of y in y 0.925 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.925 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.925 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.925 * [taylor]: Taking taylor expansion of y in y 0.928 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.928 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.928 * [taylor]: Taking taylor expansion of y in y 0.935 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.935 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.935 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.935 * [taylor]: Taking taylor expansion of x in y 0.935 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.935 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.935 * [taylor]: Taking taylor expansion of y in y 0.935 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.935 * [taylor]: Taking taylor expansion of x in y 0.936 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.936 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.936 * [taylor]: Taking taylor expansion of x in x 0.936 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.936 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.936 * [taylor]: Taking taylor expansion of y in x 0.936 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.936 * [taylor]: Taking taylor expansion of x in x 0.937 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.937 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.937 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.937 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.937 * [taylor]: Taking taylor expansion of y in x 0.937 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.938 * [taylor]: Taking taylor expansion of x in x 0.939 * [taylor]: Taking taylor expansion of 1 in y 0.941 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.941 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.941 * [taylor]: Taking taylor expansion of y in y 0.944 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.944 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.944 * [taylor]: Taking taylor expansion of y in y 0.948 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.948 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.948 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.948 * [taylor]: Taking taylor expansion of x in y 0.948 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.948 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.948 * [taylor]: Taking taylor expansion of y in y 0.948 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.948 * [taylor]: Taking taylor expansion of x in y 0.952 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.952 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.952 * [taylor]: Taking taylor expansion of x in x 0.952 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.952 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.952 * [taylor]: Taking taylor expansion of y in x 0.952 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.952 * [taylor]: Taking taylor expansion of x in x 0.954 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.954 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.954 * [taylor]: Taking taylor expansion of x in x 0.954 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.954 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.954 * [taylor]: Taking taylor expansion of y in x 0.954 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.954 * [taylor]: Taking taylor expansion of x in x 0.956 * [taylor]: Taking taylor expansion of 1 in y 0.957 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.957 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.957 * [taylor]: Taking taylor expansion of y in y 0.960 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.960 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.960 * [taylor]: Taking taylor expansion of y in y 0.964 * * * [progress]: simplifying candidates 0.967 * [simplify]: Simplifying using # : (expm1 (sqrt (/ x (+ y x)))) (log1p (sqrt (/ x (+ y x)))) (log (sqrt (/ x (+ y x)))) (exp (sqrt (/ x (+ y x)))) (* (cbrt (sqrt (/ x (+ y x)))) (cbrt (sqrt (/ x (+ y x))))) (cbrt (sqrt 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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 1 1 0 1 1 0 0 0 0 0 0 1.024 * * * [progress]: adding candidates to table 1.430 * [progress]: [Phase 3 of 3] Extracting. 1.430 * * [regime]: Finding splitpoints for: (# # #) 1.430 * * * [regime-changes]: Trying 3 branch expressions: ((/ x (+ y x)) y x) 1.430 * * * * [regimes]: Trying to branch on (/ x (+ y x)) from (# # #) 1.445 * * * * [regimes]: Trying to branch on y from (# # #) 1.457 * * * * [regimes]: Trying to branch on x from (# # #) 1.469 * * * [regime]: Found split indices: #