7.786 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying using # : (/ x (+ y x)) 0.020 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.021 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 0.021 * [simplify]: Simplified to: (/ x (+ y x)) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.025 * * * * [pick]: Picked # 0.025 * * * [progress]: localizing error 0.029 * * * [progress]: generating rewritten candidates 0.029 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.035 * * * [progress]: generating series expansions 0.035 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.035 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.035 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.035 * [taylor]: Taking taylor expansion of x in y 0.035 * [taylor]: Taking taylor expansion of (+ x y) in y 0.036 * [taylor]: Taking taylor expansion of x in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.036 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of (+ x y) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of y in x 0.036 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of (+ x y) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of y in x 0.036 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.037 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.037 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.037 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.037 * [taylor]: Taking taylor expansion of y in y 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.041 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.047 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.047 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.047 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.047 * [taylor]: Taking taylor expansion of x in y 0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.048 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.048 * [taylor]: Taking taylor expansion of x in y 0.048 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.048 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.050 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.050 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of 1 in y 0.053 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.056 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.056 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.060 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.060 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.060 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.060 * [taylor]: Taking taylor expansion of x in y 0.060 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.061 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.061 * [taylor]: Taking taylor expansion of x in y 0.061 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.061 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.063 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.063 * [taylor]: Taking taylor expansion of y in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of 1 in y 0.066 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.066 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.066 * [taylor]: Taking taylor expansion of y in y 0.069 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.069 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.069 * [taylor]: Taking taylor expansion of y in y 0.073 * * * [progress]: simplifying candidates 0.074 * [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 0.077 * * [simplify]: iteration 0 : 121 enodes (cost 159 ) 0.080 * * [simplify]: iteration 1 : 391 enodes (cost 150 ) 0.086 * * [simplify]: iteration 2 : 1069 enodes (cost 150 ) 0.104 * * [simplify]: iteration 3 : 3853 enodes (cost 150 ) 0.154 * * [simplify]: iteration 4 : 5001 enodes (cost 150 ) 0.155 * [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 0.155 * * * [progress]: adding candidates to table 0.211 * * [progress]: iteration 2 / 4 0.211 * * * [progress]: picking best candidate 0.213 * * * * [pick]: Picked # 0.213 * * * [progress]: localizing error 0.218 * * * [progress]: generating rewritten candidates 0.218 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.236 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.244 * * * [progress]: generating series expansions 0.244 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.244 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.244 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.244 * [taylor]: Taking taylor expansion of x in y 0.244 * [taylor]: Taking taylor expansion of (+ x y) in y 0.244 * [taylor]: Taking taylor expansion of x in y 0.244 * [taylor]: Taking taylor expansion of y in y 0.244 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of (+ x y) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of y in x 0.244 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of (+ x y) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of y in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.244 * [taylor]: Taking taylor expansion of y in y 0.246 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.246 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.246 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.246 * [taylor]: Taking taylor expansion of y in y 0.249 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.249 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.249 * [taylor]: Taking taylor expansion of y in y 0.256 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.256 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.256 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.256 * [taylor]: Taking taylor expansion of x in y 0.256 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.256 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.256 * [taylor]: Taking taylor expansion of y in y 0.256 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.256 * [taylor]: Taking taylor expansion of x in y 0.256 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.256 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.256 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.256 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.256 * [taylor]: Taking taylor expansion of y in x 0.256 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.258 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.258 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.258 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.258 * [taylor]: Taking taylor expansion of y in x 0.258 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of 1 in y 0.261 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.261 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.261 * [taylor]: Taking taylor expansion of y in y 0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.265 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.265 * [taylor]: Taking taylor expansion of y in y 0.268 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.268 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.269 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.269 * [taylor]: Taking taylor expansion of x in y 0.269 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.269 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.269 * [taylor]: Taking taylor expansion of y in y 0.269 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.269 * [taylor]: Taking taylor expansion of x in y 0.269 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.269 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.269 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.269 * [taylor]: Taking taylor expansion of y in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.271 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.271 * [taylor]: Taking taylor expansion of y in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.273 * [taylor]: Taking taylor expansion of 1 in y 0.274 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.274 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.278 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.278 * [taylor]: Taking taylor expansion of y in y 0.281 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.281 * [approximate]: Taking taylor expansion of (/ 1 (+ x y)) in (y x) around 0 0.281 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 0.282 * [taylor]: Taking taylor expansion of (+ x y) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [taylor]: Taking taylor expansion of y in x 0.282 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 0.282 * [taylor]: Taking taylor expansion of (+ x y) in y 0.282 * [taylor]: Taking taylor expansion of x in y 0.282 * [taylor]: Taking taylor expansion of y in y 0.282 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 0.282 * [taylor]: Taking taylor expansion of (+ x y) in y 0.282 * [taylor]: Taking taylor expansion of x in y 0.282 * [taylor]: Taking taylor expansion of y in y 0.282 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.283 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.283 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.286 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.293 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in (y x) around 0 0.293 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 0.293 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.293 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.293 * [taylor]: Taking taylor expansion of y in x 0.293 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.293 * [taylor]: Taking taylor expansion of x in x 0.294 * [taylor]: Taking taylor expansion of (/ 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 0.294 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 0.295 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.295 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.295 * [taylor]: Taking taylor expansion of y in y 0.295 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.295 * [taylor]: Taking taylor expansion of x in y 0.295 * [taylor]: Taking taylor expansion of 1 in x 0.298 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.299 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.301 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.305 * [approximate]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in (y x) around 0 0.305 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in x 0.305 * [taylor]: Taking taylor expansion of -1 in x 0.305 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.305 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.305 * [taylor]: Taking taylor expansion of y in x 0.305 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in y 0.306 * [taylor]: Taking taylor expansion of -1 in y 0.306 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.306 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.306 * [taylor]: Taking taylor expansion of y in y 0.306 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.306 * [taylor]: Taking taylor expansion of x in y 0.307 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in y 0.307 * [taylor]: Taking taylor expansion of -1 in y 0.307 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.307 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.307 * [taylor]: Taking taylor expansion of y in y 0.307 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.307 * [taylor]: Taking taylor expansion of x in y 0.308 * [taylor]: Taking taylor expansion of -1 in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.311 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.311 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.311 * [taylor]: Taking taylor expansion of x in x 0.315 * * * [progress]: simplifying candidates 0.316 * [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 0.321 * * [simplify]: iteration 0 : 231 enodes (cost 360 ) 0.326 * * [simplify]: iteration 1 : 1013 enodes (cost 310 ) 0.342 * * [simplify]: iteration 2 : 3518 enodes (cost 272 ) 0.372 * * [simplify]: iteration 3 : 5002 enodes (cost 272 ) 0.374 * [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 0.375 * * * [progress]: adding candidates to table 0.483 * * [progress]: iteration 3 / 4 0.483 * * * [progress]: picking best candidate 0.484 * * * * [pick]: Picked # 0.484 * * * [progress]: localizing error 0.490 * * * [progress]: generating rewritten candidates 0.491 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.497 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.504 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.544 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.559 * * * [progress]: generating series expansions 0.559 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.559 * [approximate]: Taking taylor expansion of (sqrt (/ x (+ x y))) in (x y) around 0 0.559 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in y 0.559 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.559 * [taylor]: Taking taylor expansion of x in y 0.559 * [taylor]: Taking taylor expansion of (+ x y) in y 0.559 * [taylor]: Taking taylor expansion of x in y 0.559 * [taylor]: Taking taylor expansion of y in y 0.561 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 0.561 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.561 * [taylor]: Taking taylor expansion of x in x 0.561 * [taylor]: Taking taylor expansion of (+ x y) in x 0.561 * [taylor]: Taking taylor expansion of x in x 0.561 * [taylor]: Taking taylor expansion of y in x 0.562 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 0.562 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.562 * [taylor]: Taking taylor expansion of (+ x y) in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.562 * [taylor]: Taking taylor expansion of y in x 0.562 * [taylor]: Taking taylor expansion of 0 in y 0.562 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 0.562 * [taylor]: Taking taylor expansion of +nan.0 in y 0.563 * [taylor]: Taking taylor expansion of y in y 0.565 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow y 2)) in y 0.565 * [taylor]: Taking taylor expansion of +nan.0 in y 0.565 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.565 * [taylor]: Taking taylor expansion of y in y 0.568 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.568 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.568 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.568 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.568 * [taylor]: Taking taylor expansion of x in y 0.568 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.568 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.568 * [taylor]: Taking taylor expansion of y in y 0.568 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.568 * [taylor]: Taking taylor expansion of x in y 0.569 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.569 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.569 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.569 * [taylor]: Taking taylor expansion of x in x 0.569 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.569 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.569 * [taylor]: Taking taylor expansion of y in x 0.569 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.569 * [taylor]: Taking taylor expansion of x in x 0.573 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.573 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.573 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.573 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.573 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.573 * [taylor]: Taking taylor expansion of y in x 0.573 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.577 * [taylor]: Taking taylor expansion of 1 in y 0.577 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.577 * [taylor]: Taking taylor expansion of -1/2 in y 0.577 * [taylor]: Taking taylor expansion of y in y 0.580 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 0.580 * [taylor]: Taking taylor expansion of 3/8 in y 0.580 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.580 * [taylor]: Taking taylor expansion of y in y 0.586 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 0.586 * [taylor]: Taking taylor expansion of -5/16 in y 0.586 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.586 * [taylor]: Taking taylor expansion of y in y 0.596 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.596 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.596 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.596 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.596 * [taylor]: Taking taylor expansion of x in y 0.596 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.596 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.596 * [taylor]: Taking taylor expansion of y in y 0.596 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.596 * [taylor]: Taking taylor expansion of x in y 0.597 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.597 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.597 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.597 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.597 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.597 * [taylor]: Taking taylor expansion of y in x 0.597 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.601 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.601 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.601 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.601 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.601 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.601 * [taylor]: Taking taylor expansion of y in x 0.601 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.605 * [taylor]: Taking taylor expansion of 1 in y 0.605 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.605 * [taylor]: Taking taylor expansion of -1/2 in y 0.605 * [taylor]: Taking taylor expansion of y in y 0.608 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 0.608 * [taylor]: Taking taylor expansion of 3/8 in y 0.609 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.609 * [taylor]: Taking taylor expansion of y in y 0.615 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 0.615 * [taylor]: Taking taylor expansion of -5/16 in y 0.615 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.615 * [taylor]: Taking taylor expansion of y in y 0.620 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.620 * [approximate]: Taking taylor expansion of (sqrt (/ x (+ x y))) in (x y) around 0 0.620 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in y 0.620 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.620 * [taylor]: Taking taylor expansion of x in y 0.620 * [taylor]: Taking taylor expansion of (+ x y) in y 0.620 * [taylor]: Taking taylor expansion of x in y 0.620 * [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 0.622 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 0.622 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of (+ x y) in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of y in x 0.623 * [taylor]: Taking taylor expansion of 0 in y 0.623 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 0.623 * [taylor]: Taking taylor expansion of +nan.0 in y 0.623 * [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 0.625 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.625 * [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 0.628 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.628 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.628 * [taylor]: Taking taylor expansion of y in y 0.628 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.628 * [taylor]: Taking taylor expansion of x in y 0.629 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.629 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.629 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.629 * [taylor]: Taking taylor expansion of x in x 0.629 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.629 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.629 * [taylor]: Taking taylor expansion of y in x 0.629 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.629 * [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 0.633 * [taylor]: Taking taylor expansion of y in x 0.633 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.633 * [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 0.640 * [taylor]: Taking taylor expansion of 3/8 in y 0.640 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.640 * [taylor]: Taking taylor expansion of y in y 0.646 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 0.646 * [taylor]: Taking taylor expansion of -5/16 in y 0.646 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.646 * [taylor]: Taking taylor expansion of y in y 0.651 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.651 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.651 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.651 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.651 * [taylor]: Taking taylor expansion of x in y 0.651 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.651 * [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 0.656 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.656 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.656 * [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 0.660 * [taylor]: Taking taylor expansion of 1 in y 0.660 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.660 * [taylor]: Taking taylor expansion of -1/2 in y 0.660 * [taylor]: Taking taylor expansion of y in y 0.663 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 0.663 * [taylor]: Taking taylor expansion of 3/8 in y 0.663 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.663 * [taylor]: Taking taylor expansion of y in y 0.669 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 0.669 * [taylor]: Taking taylor expansion of -5/16 in y 0.669 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.669 * [taylor]: Taking taylor expansion of y in y 0.678 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.679 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.679 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.679 * [taylor]: Taking taylor expansion of x in y 0.679 * [taylor]: Taking taylor expansion of (+ x y) in y 0.679 * [taylor]: Taking taylor expansion of x in y 0.679 * [taylor]: Taking taylor expansion of y in y 0.679 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.679 * [taylor]: Taking taylor expansion of x in x 0.679 * [taylor]: Taking taylor expansion of (+ x y) in x 0.679 * [taylor]: Taking taylor expansion of x in x 0.679 * [taylor]: Taking taylor expansion of y in x 0.679 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.679 * [taylor]: Taking taylor expansion of x in x 0.679 * [taylor]: Taking taylor expansion of (+ x y) in x 0.679 * [taylor]: Taking taylor expansion of x in x 0.679 * [taylor]: Taking taylor expansion of y in x 0.679 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.679 * [taylor]: Taking taylor expansion of y in y 0.680 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.680 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.680 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.680 * [taylor]: Taking taylor expansion of y in y 0.684 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.684 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.684 * [taylor]: Taking taylor expansion of y in y 0.690 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.690 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.690 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.690 * [taylor]: Taking taylor expansion of x in y 0.690 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.690 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.690 * [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 0.691 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.691 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.691 * [taylor]: Taking taylor expansion of x in x 0.691 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.691 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.691 * [taylor]: Taking taylor expansion of y in x 0.691 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.691 * [taylor]: Taking taylor expansion of x in x 0.693 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.693 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.693 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.693 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.693 * [taylor]: Taking taylor expansion of y in x 0.693 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.695 * [taylor]: Taking taylor expansion of 1 in y 0.696 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.696 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.696 * [taylor]: Taking taylor expansion of y in y 0.699 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.699 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.699 * [taylor]: Taking taylor expansion of y in y 0.703 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.703 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.703 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.703 * [taylor]: Taking taylor expansion of x in y 0.703 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.703 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.703 * [taylor]: Taking taylor expansion of y in y 0.704 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.704 * [taylor]: Taking taylor expansion of x in y 0.704 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.704 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.704 * [taylor]: Taking taylor expansion of x in x 0.704 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.704 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.704 * [taylor]: Taking taylor expansion of y in x 0.704 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.704 * [taylor]: Taking taylor expansion of x in x 0.706 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.706 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.706 * [taylor]: Taking taylor expansion of x in x 0.706 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.706 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.706 * [taylor]: Taking taylor expansion of y in x 0.706 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.706 * [taylor]: Taking taylor expansion of x in x 0.708 * [taylor]: Taking taylor expansion of 1 in y 0.709 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.709 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.709 * [taylor]: Taking taylor expansion of y in y 0.712 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.712 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.712 * [taylor]: Taking taylor expansion of y in y 0.716 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.716 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.716 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.716 * [taylor]: Taking taylor expansion of x in y 0.716 * [taylor]: Taking taylor expansion of (+ x y) in y 0.716 * [taylor]: Taking taylor expansion of x in y 0.716 * [taylor]: Taking taylor expansion of y in y 0.716 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.716 * [taylor]: Taking taylor expansion of x in x 0.716 * [taylor]: Taking taylor expansion of (+ x y) in x 0.716 * [taylor]: Taking taylor expansion of x in x 0.716 * [taylor]: Taking taylor expansion of y in x 0.716 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.716 * [taylor]: Taking taylor expansion of x in x 0.716 * [taylor]: Taking taylor expansion of (+ x y) in x 0.716 * [taylor]: Taking taylor expansion of x in x 0.716 * [taylor]: Taking taylor expansion of y in x 0.716 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.717 * [taylor]: Taking taylor expansion of y in y 0.717 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.718 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.718 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.718 * [taylor]: Taking taylor expansion of y in y 0.721 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.721 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.721 * [taylor]: Taking taylor expansion of y in y 0.727 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.727 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.727 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.727 * [taylor]: Taking taylor expansion of x in y 0.727 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.727 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.727 * [taylor]: Taking taylor expansion of y in y 0.728 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.728 * [taylor]: Taking taylor expansion of x in y 0.728 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.728 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.728 * [taylor]: Taking taylor expansion of x in x 0.728 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.728 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.728 * [taylor]: Taking taylor expansion of y in x 0.728 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.728 * [taylor]: Taking taylor expansion of x in x 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 0.731 * [taylor]: Taking taylor expansion of 1 in y 0.733 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.733 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.733 * [taylor]: Taking taylor expansion of y in y 0.736 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.736 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.736 * [taylor]: Taking taylor expansion of y in y 0.740 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.740 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.740 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.740 * [taylor]: Taking taylor expansion of x in y 0.740 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.740 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.740 * [taylor]: Taking taylor expansion of y in y 0.740 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.740 * [taylor]: Taking taylor expansion of x in y 0.741 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.741 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.741 * [taylor]: Taking taylor expansion of x in x 0.741 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.741 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.741 * [taylor]: Taking taylor expansion of y in x 0.741 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.741 * [taylor]: Taking taylor expansion of x in x 0.742 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.742 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.742 * [taylor]: Taking taylor expansion of x in x 0.743 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.743 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.743 * [taylor]: Taking taylor expansion of y in x 0.743 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.743 * [taylor]: Taking taylor expansion of x in x 0.744 * [taylor]: Taking taylor expansion of 1 in y 0.746 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.746 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.746 * [taylor]: Taking taylor expansion of y in y 0.749 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.749 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.749 * [taylor]: Taking taylor expansion of y in y 0.753 * * * [progress]: simplifying candidates 0.761 * [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 0.816 * * * [progress]: adding candidates to table 1.193 * [progress]: [Phase 3 of 3] Extracting. 1.193 * * [regime]: Finding splitpoints for: (# # #) 1.194 * * * [regime-changes]: Trying 3 branch expressions: ((/ x (+ y x)) y x) 1.194 * * * * [regimes]: Trying to branch on (/ x (+ y x)) from (# # #) 1.205 * * * * [regimes]: Trying to branch on y from (# # #) 1.219 * * * * [regimes]: Trying to branch on x from (# # #) 1.232 * * * [regime]: Found split indices: #