6.031 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (/ x (+ x y)) 0.019 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.020 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 0.020 * [simplify]: Simplified to: (/ x (+ x y)) 0.020 * * [progress]: iteration 1 / 4 0.020 * * * [progress]: picking best candidate 0.021 * * * * [pick]: Picked # 0.021 * * * [progress]: localizing error 0.024 * * * [progress]: generating rewritten candidates 0.025 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.031 * * * [progress]: generating series expansions 0.031 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.031 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.031 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.031 * [taylor]: Taking taylor expansion of x in y 0.031 * [taylor]: Taking taylor expansion of (+ x y) in y 0.031 * [taylor]: Taking taylor expansion of x in y 0.031 * [taylor]: Taking taylor expansion of y in y 0.031 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.031 * [taylor]: Taking taylor expansion of (+ x y) in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.031 * [taylor]: Taking taylor expansion of y in x 0.032 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of (+ x y) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of y in x 0.032 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.032 * [taylor]: Taking taylor expansion of y in y 0.033 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.033 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.033 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.033 * [taylor]: Taking taylor expansion of y in y 0.037 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.037 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.037 * [taylor]: Taking taylor expansion of y in y 0.044 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.044 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.044 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.044 * [taylor]: Taking taylor expansion of x in y 0.044 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.044 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.044 * [taylor]: Taking taylor expansion of x in y 0.044 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.044 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.046 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of 1 in y 0.050 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.053 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.058 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.058 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.058 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.058 * [taylor]: Taking taylor expansion of x in y 0.058 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.058 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.058 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.058 * [taylor]: Taking taylor expansion of x in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.059 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.060 * [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 in y 0.064 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.064 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.068 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.068 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.072 * * * [progress]: simplifying candidates 0.073 * [simplify]: Simplifying using # : (expm1 (/ x (+ x y))) (log1p (/ x (+ x y))) (- (log x) (log (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (/ (* (* x x) x) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y))) (* (* (/ x (+ x y)) (/ x (+ x y))) (/ x (+ x y))) (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) (- x) (- (+ x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ x y)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ x y)) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) 1) (/ (sqrt x) (+ x y)) (/ (sqrt x) 1) (/ (sqrt x) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (/ 1 1) (/ x (+ x y)) (/ 1 1) (/ x (+ x y)) (/ 1 (+ x y)) (/ (+ x y) x) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) (/ x 1) (/ x 1) (/ (+ x y) (cbrt x)) (/ (+ x y) (sqrt x)) (/ (+ x y) x) (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) 0 0 0 0.080 * * [simplify]: iteration 0 : 121 enodes (cost 159 ) 0.083 * * [simplify]: iteration 1 : 393 enodes (cost 150 ) 0.089 * * [simplify]: iteration 2 : 1065 enodes (cost 150 ) 0.109 * * [simplify]: iteration 3 : 3830 enodes (cost 150 ) 0.160 * * [simplify]: iteration 4 : 5002 enodes (cost 150 ) 0.161 * [simplify]: Simplified to: (expm1 (/ x (+ x y))) (log1p (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (pow (/ x (+ x y)) 3) (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y))) (pow (/ x (+ x y)) 3) (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) (- x) (- (+ x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (sqrt x) (/ (sqrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) (/ (+ x y) x) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x x (/ (+ x y) (cbrt x)) (/ (+ x y) (sqrt x)) (/ (+ x y) x) (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) 0 0 0 0.162 * * * [progress]: adding candidates to table 0.220 * * [progress]: iteration 2 / 4 0.220 * * * [progress]: picking best candidate 0.222 * * * * [pick]: Picked # 0.222 * * * [progress]: localizing error 0.227 * * * [progress]: generating rewritten candidates 0.227 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.243 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.251 * * * [progress]: generating series expansions 0.252 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.252 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.252 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.252 * [taylor]: Taking taylor expansion of x in y 0.252 * [taylor]: Taking taylor expansion of (+ x y) in y 0.252 * [taylor]: Taking taylor expansion of x in y 0.252 * [taylor]: Taking taylor expansion of y in y 0.252 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of (+ x y) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of y in x 0.252 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of (+ x y) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of y in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.252 * [taylor]: Taking taylor expansion of y in y 0.254 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.254 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.254 * [taylor]: Taking taylor expansion of y in y 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.258 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.258 * [taylor]: Taking taylor expansion of y in y 0.265 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.266 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.266 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.266 * [taylor]: Taking taylor expansion of x in y 0.266 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.266 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.266 * [taylor]: Taking taylor expansion of y in y 0.266 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.266 * [taylor]: Taking taylor expansion of x in y 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 0.267 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.268 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.268 * [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 0.270 * [taylor]: Taking taylor expansion of 1 in y 0.272 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.272 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.275 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.276 * [taylor]: Taking taylor expansion of y in y 0.280 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.280 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.280 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.280 * [taylor]: Taking taylor expansion of x in y 0.280 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.280 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.280 * [taylor]: Taking taylor expansion of y in y 0.283 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.283 * [taylor]: Taking taylor expansion of x in y 0.284 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.284 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.284 * [taylor]: Taking taylor expansion of y in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.286 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.286 * [taylor]: Taking taylor expansion of y in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of 1 in y 0.289 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.289 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.289 * [taylor]: Taking taylor expansion of y in y 0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.292 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.292 * [taylor]: Taking taylor expansion of y in y 0.296 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.297 * [approximate]: Taking taylor expansion of (/ 1 (+ x y)) in (x y) around 0 0.297 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 0.297 * [taylor]: Taking taylor expansion of (+ x y) in y 0.297 * [taylor]: Taking taylor expansion of x in y 0.297 * [taylor]: Taking taylor expansion of y in y 0.297 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 0.297 * [taylor]: Taking taylor expansion of (+ x y) in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.297 * [taylor]: Taking taylor expansion of y in x 0.297 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 0.297 * [taylor]: Taking taylor expansion of (+ x y) in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.297 * [taylor]: Taking taylor expansion of y in x 0.297 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.297 * [taylor]: Taking taylor expansion of y in y 0.298 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.298 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.298 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.298 * [taylor]: Taking taylor expansion of y in y 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.302 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.302 * [taylor]: Taking taylor expansion of y in y 0.308 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.309 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 0.309 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.309 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.309 * [taylor]: Taking taylor expansion of y in y 0.309 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.309 * [taylor]: Taking taylor expansion of x in y 0.309 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 0.309 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.310 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.310 * [taylor]: Taking taylor expansion of y in x 0.310 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.310 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 0.310 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.310 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.310 * [taylor]: Taking taylor expansion of y in x 0.310 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.311 * [taylor]: Taking taylor expansion of 1 in y 0.312 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.312 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.312 * [taylor]: Taking taylor expansion of y in y 0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.315 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.315 * [taylor]: Taking taylor expansion of y in y 0.319 * [approximate]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.319 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in y 0.319 * [taylor]: Taking taylor expansion of -1 in y 0.319 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.319 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.319 * [taylor]: Taking taylor expansion of y in y 0.320 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.320 * [taylor]: Taking taylor expansion of x in y 0.320 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in x 0.320 * [taylor]: Taking taylor expansion of -1 in x 0.320 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.320 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.320 * [taylor]: Taking taylor expansion of y in x 0.320 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.321 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in x 0.321 * [taylor]: Taking taylor expansion of -1 in x 0.321 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.322 * [taylor]: Taking taylor expansion of y in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.322 * [taylor]: Taking taylor expansion of -1 in y 0.323 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.323 * [taylor]: Taking taylor expansion of y in y 0.326 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.326 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.326 * [taylor]: Taking taylor expansion of y in y 0.330 * * * [progress]: simplifying candidates 0.331 * [simplify]: Simplifying using # : (expm1 (* x (/ 1 (+ x y)))) (log1p (* x (/ 1 (+ x y)))) (* x (/ 1 (+ x y))) (+ (log x) (- (log (+ x y)))) (+ (log x) (- 0 (log (+ x y)))) (+ (log x) (- (log 1) (log (+ x y)))) (+ (log x) (log (/ 1 (+ x y)))) (log (* x (/ 1 (+ x y)))) (exp (* x (/ 1 (+ x y)))) (* (* (* x x) x) (/ (* (* 1 1) 1) (* (* (+ x y) (+ x y)) (+ x y)))) (* (* (* x x) x) (* (* (/ 1 (+ x y)) (/ 1 (+ x y))) (/ 1 (+ x y)))) (* (cbrt (* x (/ 1 (+ x y)))) (cbrt (* x (/ 1 (+ x y))))) (cbrt (* x (/ 1 (+ x y)))) (* (* (* x (/ 1 (+ x y))) (* x (/ 1 (+ x y)))) (* x (/ 1 (+ x y)))) (sqrt (* x (/ 1 (+ x y)))) (sqrt (* x (/ 1 (+ x y)))) (* (sqrt x) (sqrt (/ 1 (+ x y)))) (* (sqrt x) (sqrt (/ 1 (+ x y)))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ x y)))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ x y)))) (* (sqrt x) (/ 1 (sqrt (+ x y)))) (* (sqrt x) (/ 1 (sqrt (+ x y)))) (* x (* (cbrt (/ 1 (+ x y))) (cbrt (/ 1 (+ x y))))) (* x (sqrt (/ 1 (+ x y)))) (* x (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ x y)) (cbrt (+ x y))))) (* x (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ x y)))) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (sqrt 1) (* (cbrt (+ x y)) (cbrt (+ x y))))) (* x (/ (sqrt 1) (sqrt (+ x y)))) (* x (/ (sqrt 1) 1)) (* x (/ (sqrt 1) 1)) (* x (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y))))) (* x (/ 1 (sqrt (+ x y)))) (* x (/ 1 1)) (* x (/ 1 1)) (* x 1) (* x 1) (* x (/ 1 (+ (pow x 3) (pow y 3)))) (* x (/ 1 (- (* x x) (* y y)))) (* (cbrt x) (/ 1 (+ x y))) (* (sqrt x) (/ 1 (+ x y))) (* x (/ 1 (+ x y))) (* x 1) (expm1 (/ 1 (+ x y))) (log1p (/ 1 (+ x y))) (- 1) (- (log (+ x y))) (- 0 (log (+ x y))) (- (log 1) (log (+ x y))) (log (/ 1 (+ x y))) (exp (/ 1 (+ x y))) (/ (* (* 1 1) 1) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (/ 1 (+ x y))) (cbrt (/ 1 (+ x y)))) (cbrt (/ 1 (+ x y))) (* (* (/ 1 (+ x y)) (/ 1 (+ x y))) (/ 1 (+ x y))) (sqrt (/ 1 (+ x y))) (sqrt (/ 1 (+ x y))) (- 1) (- (+ x y)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt 1) (cbrt (+ x y))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ x y))) (/ (cbrt 1) (sqrt (+ x y))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ x y)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ x y)) (/ (sqrt 1) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt 1) (cbrt (+ x y))) (/ (sqrt 1) (sqrt (+ x y))) (/ (sqrt 1) (sqrt (+ x y))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ x y)) (/ (sqrt 1) 1) (/ (sqrt 1) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ 1 1) (/ 1 (+ x y)) (/ 1 1) (/ 1 (+ x y)) (/ 1 (+ x y)) (/ (+ x y) 1) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (sqrt (+ x y))) (/ 1 1) (/ 1 1) (/ (+ x y) (cbrt 1)) (/ (+ x y) (sqrt 1)) (/ (+ x y) 1) (/ 1 (+ (pow x 3) (pow y 3))) (/ 1 (- (* x x) (* y y))) 0 0 0 0 0 0 0.336 * * [simplify]: iteration 0 : 231 enodes (cost 360 ) 0.341 * * [simplify]: iteration 1 : 1017 enodes (cost 310 ) 0.358 * * [simplify]: iteration 2 : 3519 enodes (cost 272 ) 0.389 * * [simplify]: iteration 3 : 5001 enodes (cost 272 ) 0.391 * [simplify]: Simplified to: (expm1 (* x (/ 1 (+ x y)))) (log1p (* x (/ 1 (+ x y)))) (/ x (+ x y)) (- (log x) (log (+ x y))) (- (log x) (log (+ x y))) (- (log x) (log (+ x y))) (- (log x) (log (+ x y))) (- (log x) (log (+ x y))) (exp (* x (/ 1 (+ x y)))) (pow (/ x (+ x y)) 3) (pow (/ x (+ x y)) 3) (* (cbrt (* x (/ 1 (+ x y)))) (cbrt (* x (/ 1 (+ x y))))) (cbrt (* x (/ 1 (+ x y)))) (pow (/ x (+ x y)) 3) (sqrt (* x (/ 1 (+ x y)))) (sqrt (* x (/ 1 (+ x y)))) (* (sqrt x) (sqrt (/ 1 (+ x y)))) (* (sqrt x) (sqrt (/ 1 (+ x y)))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (* x (* (cbrt (/ 1 (+ x y))) (cbrt (/ 1 (+ x y))))) (* x (sqrt (/ 1 (+ x y)))) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x x (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x x (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x x x x (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) (/ (cbrt x) (+ x y)) (/ (sqrt x) (+ x y)) (/ x (+ x y)) x (expm1 (/ 1 (+ x y))) (log1p (/ 1 (+ x y))) (- 1) (log (/ 1 (+ x y))) (log (/ 1 (+ x y))) (log (/ 1 (+ x y))) (log (/ 1 (+ x y))) (exp (/ 1 (+ x y))) (/ 1 (pow (+ x y) 3)) (* (cbrt (/ 1 (+ x y))) (cbrt (/ 1 (+ x y)))) (cbrt (/ 1 (+ x y))) (/ 1 (pow (+ x y) 3)) (sqrt (/ 1 (+ x y))) (sqrt (/ 1 (+ x y))) (- 1) (- (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) 1 (/ 1 (+ x y)) 1 (/ 1 (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) 1 (/ 1 (+ x y)) 1 (/ 1 (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) 1 (/ 1 (+ x y)) 1 (/ 1 (+ x y)) (/ 1 (+ x y)) (+ x y) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (sqrt (+ x y))) 1 1 (+ x y) (+ x y) (+ x y) (/ 1 (+ (pow x 3) (pow y 3))) (/ 1 (- (* x x) (* y y))) 0 0 0 0 0 0 0.391 * * * [progress]: adding candidates to table 0.501 * * [progress]: iteration 3 / 4 0.501 * * * [progress]: picking best candidate 0.502 * * * * [pick]: Picked # 0.502 * * * [progress]: localizing error 0.508 * * * [progress]: generating rewritten candidates 0.508 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.517 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.523 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.562 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.578 * * * [progress]: generating series expansions 0.578 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.578 * [approximate]: Taking taylor expansion of (sqrt (/ x (+ x y))) in (x y) around 0 0.578 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in y 0.578 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.578 * [taylor]: Taking taylor expansion of x in y 0.578 * [taylor]: Taking taylor expansion of (+ x y) in y 0.578 * [taylor]: Taking taylor expansion of x in y 0.578 * [taylor]: Taking taylor expansion of y in y 0.580 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 0.580 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.580 * [taylor]: Taking taylor expansion of x in x 0.580 * [taylor]: Taking taylor expansion of (+ x y) in x 0.580 * [taylor]: Taking taylor expansion of x in x 0.580 * [taylor]: Taking taylor expansion of y in x 0.580 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 0.580 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.580 * [taylor]: Taking taylor expansion of x in x 0.580 * [taylor]: Taking taylor expansion of (+ x y) in x 0.580 * [taylor]: Taking taylor expansion of x in x 0.580 * [taylor]: Taking taylor expansion of y in x 0.585 * [taylor]: Taking taylor expansion of 0 in y 0.586 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 0.586 * [taylor]: Taking taylor expansion of +nan.0 in y 0.586 * [taylor]: Taking taylor expansion of y in y 0.588 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow y 2)) in y 0.588 * [taylor]: Taking taylor expansion of +nan.0 in y 0.588 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.588 * [taylor]: Taking taylor expansion of y in y 0.591 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.591 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.591 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.591 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.591 * [taylor]: Taking taylor expansion of x in y 0.591 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.591 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.591 * [taylor]: Taking taylor expansion of y in y 0.591 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.591 * [taylor]: Taking taylor expansion of x in y 0.592 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.592 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.592 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.592 * [taylor]: Taking taylor expansion of x in x 0.592 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.592 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.593 * [taylor]: Taking taylor expansion of y in x 0.593 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.593 * [taylor]: Taking taylor expansion of x in x 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 0.601 * [taylor]: Taking taylor expansion of 1 in y 0.601 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.601 * [taylor]: Taking taylor expansion of -1/2 in y 0.601 * [taylor]: Taking taylor expansion of y in y 0.604 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 0.604 * [taylor]: Taking taylor expansion of 3/8 in y 0.604 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.604 * [taylor]: Taking taylor expansion of y in y 0.611 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 0.611 * [taylor]: Taking taylor expansion of -5/16 in y 0.611 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.611 * [taylor]: Taking taylor expansion of y in y 0.616 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.616 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.616 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.616 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.616 * [taylor]: Taking taylor expansion of x in y 0.616 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.616 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.616 * [taylor]: Taking taylor expansion of y in y 0.617 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.617 * [taylor]: Taking taylor expansion of x in y 0.618 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.618 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.618 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.618 * [taylor]: Taking taylor expansion of x in x 0.618 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.618 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.618 * [taylor]: Taking taylor expansion of y in x 0.618 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.618 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.622 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.622 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.622 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.622 * [taylor]: Taking taylor expansion of y in x 0.622 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.626 * [taylor]: Taking taylor expansion of 1 in y 0.626 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.626 * [taylor]: Taking taylor expansion of -1/2 in y 0.626 * [taylor]: Taking taylor expansion of y in y 0.630 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 0.630 * [taylor]: Taking taylor expansion of 3/8 in y 0.630 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.630 * [taylor]: Taking taylor expansion of y in y 0.637 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 0.637 * [taylor]: Taking taylor expansion of -5/16 in y 0.637 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.637 * [taylor]: Taking taylor expansion of y in y 0.642 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.642 * [approximate]: Taking taylor expansion of (sqrt (/ x (+ x y))) in (x y) around 0 0.642 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in y 0.642 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.642 * [taylor]: Taking taylor expansion of x in y 0.642 * [taylor]: Taking taylor expansion of (+ x y) in y 0.642 * [taylor]: Taking taylor expansion of x in y 0.642 * [taylor]: Taking taylor expansion of y in y 0.643 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 0.643 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.643 * [taylor]: Taking taylor expansion of (+ x y) in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.643 * [taylor]: Taking taylor expansion of y in x 0.644 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 0.644 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.644 * [taylor]: Taking taylor expansion of x in x 0.644 * [taylor]: Taking taylor expansion of (+ x y) in x 0.644 * [taylor]: Taking taylor expansion of x in x 0.644 * [taylor]: Taking taylor expansion of y in x 0.645 * [taylor]: Taking taylor expansion of 0 in y 0.645 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 0.645 * [taylor]: Taking taylor expansion of +nan.0 in y 0.645 * [taylor]: Taking taylor expansion of y in y 0.647 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow y 2)) in y 0.647 * [taylor]: Taking taylor expansion of +nan.0 in y 0.647 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.647 * [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 0.650 * [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 0.670 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 0.670 * [taylor]: Taking taylor expansion of -5/16 in y 0.670 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.670 * [taylor]: Taking taylor expansion of y in y 0.678 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.678 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.678 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.678 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.678 * [taylor]: Taking taylor expansion of x in y 0.678 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.679 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.679 * [taylor]: Taking taylor expansion of y in y 0.679 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.679 * [taylor]: Taking taylor expansion of x in y 0.680 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.680 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.680 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.680 * [taylor]: Taking taylor expansion of x in x 0.680 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.680 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.680 * [taylor]: Taking taylor expansion of y in x 0.680 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.680 * [taylor]: Taking taylor expansion of x in x 0.684 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.684 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.684 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.684 * [taylor]: Taking taylor expansion of x in x 0.684 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.684 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.684 * [taylor]: Taking taylor expansion of y in x 0.684 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.684 * [taylor]: Taking taylor expansion of x in x 0.688 * [taylor]: Taking taylor expansion of 1 in y 0.688 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.688 * [taylor]: Taking taylor expansion of -1/2 in y 0.688 * [taylor]: Taking taylor expansion of y in y 0.692 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 0.692 * [taylor]: Taking taylor expansion of 3/8 in y 0.692 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.692 * [taylor]: Taking taylor expansion of y in y 0.698 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 0.698 * [taylor]: Taking taylor expansion of -5/16 in y 0.698 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.698 * [taylor]: Taking taylor expansion of y in y 0.703 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.703 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.704 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.704 * [taylor]: Taking taylor expansion of x in y 0.704 * [taylor]: Taking taylor expansion of (+ x y) in y 0.704 * [taylor]: Taking taylor expansion of x in y 0.704 * [taylor]: Taking taylor expansion of y in y 0.704 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.704 * [taylor]: Taking taylor expansion of x in x 0.704 * [taylor]: Taking taylor expansion of (+ x y) in x 0.704 * [taylor]: Taking taylor expansion of x in x 0.704 * [taylor]: Taking taylor expansion of y in x 0.704 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.704 * [taylor]: Taking taylor expansion of x in x 0.704 * [taylor]: Taking taylor expansion of (+ x y) in x 0.704 * [taylor]: Taking taylor expansion of x in x 0.704 * [taylor]: Taking taylor expansion of y in x 0.704 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.704 * [taylor]: Taking taylor expansion of y in y 0.705 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.705 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.705 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.705 * [taylor]: Taking taylor expansion of y in y 0.708 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.709 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.709 * [taylor]: Taking taylor expansion of y in y 0.716 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.716 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.716 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.716 * [taylor]: Taking taylor expansion of x in y 0.716 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.716 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.716 * [taylor]: Taking taylor expansion of y in y 0.716 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.716 * [taylor]: Taking taylor expansion of x in y 0.716 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.716 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.716 * [taylor]: Taking taylor expansion of x in x 0.716 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.716 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.716 * [taylor]: Taking taylor expansion of y in x 0.716 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.716 * [taylor]: Taking taylor expansion of x in x 0.718 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.718 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.718 * [taylor]: Taking taylor expansion of x in x 0.718 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.718 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.718 * [taylor]: Taking taylor expansion of y in x 0.718 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.718 * [taylor]: Taking taylor expansion of x in x 0.720 * [taylor]: Taking taylor expansion of 1 in y 0.722 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.722 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.722 * [taylor]: Taking taylor expansion of y in y 0.725 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.725 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.725 * [taylor]: Taking taylor expansion of y in y 0.729 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.729 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.730 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.730 * [taylor]: Taking taylor expansion of x in y 0.730 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.730 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.730 * [taylor]: Taking taylor expansion of y in y 0.730 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.730 * [taylor]: Taking taylor expansion of x in y 0.730 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.730 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.730 * [taylor]: Taking taylor expansion of x in x 0.730 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.730 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.730 * [taylor]: Taking taylor expansion of y in x 0.730 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.730 * [taylor]: Taking taylor expansion of x in x 0.732 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.732 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.732 * [taylor]: Taking taylor expansion of x in x 0.732 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.732 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.732 * [taylor]: Taking taylor expansion of y in x 0.732 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.732 * [taylor]: Taking taylor expansion of x in x 0.734 * [taylor]: Taking taylor expansion of 1 in y 0.735 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.735 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.735 * [taylor]: Taking taylor expansion of y in y 0.739 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.739 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.739 * [taylor]: Taking taylor expansion of y in y 0.743 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.743 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.743 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.743 * [taylor]: Taking taylor expansion of x in y 0.743 * [taylor]: Taking taylor expansion of (+ x y) in y 0.743 * [taylor]: Taking taylor expansion of x in y 0.743 * [taylor]: Taking taylor expansion of y in y 0.743 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.743 * [taylor]: Taking taylor expansion of x in x 0.743 * [taylor]: Taking taylor expansion of (+ x y) in x 0.743 * [taylor]: Taking taylor expansion of x in x 0.743 * [taylor]: Taking taylor expansion of y in x 0.744 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.744 * [taylor]: Taking taylor expansion of x in x 0.744 * [taylor]: Taking taylor expansion of (+ x y) in x 0.744 * [taylor]: Taking taylor expansion of x in x 0.744 * [taylor]: Taking taylor expansion of y in x 0.744 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.744 * [taylor]: Taking taylor expansion of y in y 0.745 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.745 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.745 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.745 * [taylor]: Taking taylor expansion of y in y 0.749 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.749 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.749 * [taylor]: Taking taylor expansion of y in y 0.756 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.756 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.756 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.756 * [taylor]: Taking taylor expansion of x in y 0.756 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.756 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.756 * [taylor]: Taking taylor expansion of y in y 0.756 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.756 * [taylor]: Taking taylor expansion of x in y 0.756 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.757 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.757 * [taylor]: Taking taylor expansion of x in x 0.757 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.757 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.757 * [taylor]: Taking taylor expansion of y in x 0.757 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.757 * [taylor]: Taking taylor expansion of x in x 0.761 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.761 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.761 * [taylor]: Taking taylor expansion of x in x 0.761 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.761 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.761 * [taylor]: Taking taylor expansion of y in x 0.761 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.761 * [taylor]: Taking taylor expansion of x in x 0.763 * [taylor]: Taking taylor expansion of 1 in y 0.765 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.765 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.765 * [taylor]: Taking taylor expansion of y in y 0.768 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.768 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.768 * [taylor]: Taking taylor expansion of y in y 0.772 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.773 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.773 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.773 * [taylor]: Taking taylor expansion of x in y 0.773 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.773 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.773 * [taylor]: Taking taylor expansion of y in y 0.773 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.773 * [taylor]: Taking taylor expansion of x in y 0.773 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.773 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.773 * [taylor]: Taking taylor expansion of x in x 0.773 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.773 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.773 * [taylor]: Taking taylor expansion of y in x 0.773 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.773 * [taylor]: Taking taylor expansion of x in x 0.775 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.775 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.775 * [taylor]: Taking taylor expansion of x in x 0.775 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.775 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.775 * [taylor]: Taking taylor expansion of y in x 0.775 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.775 * [taylor]: Taking taylor expansion of x in x 0.777 * [taylor]: Taking taylor expansion of 1 in y 0.779 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.779 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.779 * [taylor]: Taking taylor expansion of y in y 0.782 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.782 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.782 * [taylor]: Taking taylor expansion of y in y 0.786 * * * [progress]: simplifying candidates 0.789 * [simplify]: Simplifying using # : (expm1 (sqrt (/ x (+ x y)))) (log1p (sqrt (/ x (+ x y)))) (log (sqrt (/ x (+ x y)))) (exp (sqrt (/ x (+ x y)))) (* (cbrt (sqrt (/ x (+ x y)))) (cbrt (sqrt (/ x (+ x y))))) (cbrt (sqrt 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x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) (/ (+ x y) x) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x x (/ (+ x y) (cbrt x)) (/ (+ x y) (sqrt x)) (/ (+ x y) x) (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) 0 1 1 0 1 1 0 0 0 0 0 0 0.847 * * * [progress]: adding candidates to table 1.246 * [progress]: [Phase 3 of 3] Extracting. 1.247 * * [regime]: Finding splitpoints for: (# # #) 1.247 * * * [regime-changes]: Trying 3 branch expressions: ((/ x (+ x y)) y x) 1.247 * * * * [regimes]: Trying to branch on (/ x (+ x y)) from (# # #) 1.261 * * * * [regimes]: Trying to branch on y from (# # #) 1.274 * * * * [regimes]: Trying to branch on x from (# # #) 1.287 * * * [regime]: Found split indices: #