44.315 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.069 * * * * [points]: Sampling 256 additional inputs, on iter 0 have 0 / 256 0.071 * * * * [points]: Computing exacts on every 16 of 256 points to ramp up precision 0.071 * * * * [points]: Setting MPFR precision to 64 0.071 * * * * [points]: Setting MPFR precision to 320 0.071 * * * * [points]: Computing exacts on every 8 of 256 points to ramp up precision 0.071 * * * * [points]: Setting MPFR precision to 64 0.072 * * * * [points]: Setting MPFR precision to 320 0.072 * * * * [points]: Computing exacts on every 4 of 256 points to ramp up precision 0.072 * * * * [points]: Setting MPFR precision to 64 0.073 * * * * [points]: Setting MPFR precision to 320 0.073 * * * * [points]: Computing exacts on every 2 of 256 points to ramp up precision 0.073 * * * * [points]: Setting MPFR precision to 64 0.074 * * * * [points]: Setting MPFR precision to 320 0.075 * * * * [points]: Computing exacts for 256 points 0.075 * * * * [points]: Setting MPFR precision to 64 0.077 * * * * [points]: Setting MPFR precision to 320 0.080 * * * * [points]: Filtering points with unrepresentable outputs 0.080 * * * * [points]: Sampling 4 additional inputs, on iter 1 have 254 / 256 0.080 * * * * [points]: Computing exacts for 4 points 0.080 * * * * [points]: Setting MPFR precision to 64 0.080 * * * * [points]: Setting MPFR precision to 320 0.081 * * * * [points]: Filtering points with unrepresentable outputs 0.081 * * * * [points]: Sampled 258 points with exact outputs 0.084 * * * [progress]: [2/2] Setting up program. 0.087 * [progress]: [Phase 2 of 3] Improving. 0.087 * [simplify]: Simplifying using # : (* (+ x y) (+ x y)) 0.091 * * [simplify]: iteration 0 : 69 enodes (cost 7 ) 0.091 * * [simplify]: iteration 1 : 69 enodes (cost 7 ) 0.091 * [simplify]: Simplified to: (* (+ x y) (+ x y)) 0.091 * * [progress]: iteration 1 / 4 0.091 * * * [progress]: picking best candidate 0.093 * * * * [pick]: Picked # 0.093 * * * [progress]: localizing error 0.097 * * * [progress]: generating rewritten candidates 0.097 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.106 * * * [progress]: generating series expansions 0.106 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.106 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.106 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.106 * [taylor]: Taking taylor expansion of (+ x y) in y 0.106 * [taylor]: Taking taylor expansion of x in y 0.106 * [taylor]: Taking taylor expansion of y in y 0.106 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.107 * [taylor]: Taking taylor expansion of (+ x y) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [taylor]: Taking taylor expansion of y in x 0.107 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.107 * [taylor]: Taking taylor expansion of (+ x y) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [taylor]: Taking taylor expansion of y in x 0.107 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.107 * [taylor]: Taking taylor expansion of y in y 0.107 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.107 * [taylor]: Taking taylor expansion of 2 in y 0.107 * [taylor]: Taking taylor expansion of y in y 0.107 * [taylor]: Taking taylor expansion of 1 in y 0.107 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.107 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.107 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.107 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.107 * [taylor]: Taking taylor expansion of y in y 0.107 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.107 * [taylor]: Taking taylor expansion of x in y 0.108 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.108 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.108 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.108 * [taylor]: Taking taylor expansion of y in x 0.108 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.108 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.108 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.108 * [taylor]: Taking taylor expansion of y in x 0.108 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of 1 in y 0.108 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.108 * [taylor]: Taking taylor expansion of 2 in y 0.108 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.108 * [taylor]: Taking taylor expansion of y in y 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.108 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.108 * [taylor]: Taking taylor expansion of y in y 0.109 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.109 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.109 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.109 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.109 * [taylor]: Taking taylor expansion of y in y 0.109 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.109 * [taylor]: Taking taylor expansion of x in y 0.109 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.109 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.109 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.109 * [taylor]: Taking taylor expansion of y in x 0.109 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.109 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.109 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.109 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.109 * [taylor]: Taking taylor expansion of y in x 0.109 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.109 * [taylor]: Taking taylor expansion of 1 in y 0.109 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.109 * [taylor]: Taking taylor expansion of 2 in y 0.109 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.109 * [taylor]: Taking taylor expansion of y in y 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.110 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.110 * [taylor]: Taking taylor expansion of y in y 0.110 * * * [progress]: simplifying candidates 0.111 * [simplify]: Simplifying using # : (+ 1 1) (* (+ x y) (+ x y)) (+ 1 1) (+ (log (+ x y)) (log (+ x y))) (log (* (+ x y) (+ x y))) (exp (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (* (+ x y) (+ x y))) (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)) (* (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (cbrt (+ x y)) (cbrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 2 1) (* (+ x y) x) (* (+ x y) y) (* x (+ x y)) (* y (+ x y)) (* (+ x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (+ x y) (sqrt (+ x y))) (* (+ x y) 1) (* (+ x y) 1) (* (cbrt (+ x y)) (+ x y)) (* (sqrt (+ x y)) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (+ x y) (- (* x x) (* y y))) (* (+ (pow x 3) (pow y 3)) (+ x y)) (* (- (* x x) (* y y)) (+ x y)) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.137 * * [simplify]: iteration 0 : 5592 enodes (cost 356 ) 0.139 * [simplify]: Simplified to: 2 (pow (cbrt (+ x y)) 6) 2 (* 2 (log (+ x y))) (* 2 (log (+ x y))) (exp (pow (cbrt (+ x y)) 6)) (pow (+ x y) 6) (* (cbrt (pow (cbrt (+ x y)) 6)) (cbrt (pow (cbrt (+ x y)) 6))) (cbrt (pow (cbrt (+ x y)) 6)) (pow (+ x y) 6) (fabs (+ x y)) (fabs (+ x y)) (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* x x) (* y (- y x))) (+ (* x x) (* y (- y x)))) (* (+ x y) (* (+ (pow x 3) (pow y 3)) (- x y))) (* (+ (* x x) (* y (- y x))) (- x y)) (* (+ x y) (* (+ (pow x 3) (pow y 3)) (- x y))) (* (+ (* x x) (* y (- y x))) (- x y)) (* (pow (cbrt (+ x y)) 6) (* (- x y) (- x y))) (* (- x y) (- x y)) (pow (cbrt (+ x y)) 4) (* (cbrt (+ x y)) (cbrt (+ x y))) (+ x y) (+ x y) 1 (pow (cbrt (+ x y)) 6) 1 (pow (cbrt (+ x y)) 6) 1 (pow (cbrt (+ x y)) 6) 1 (pow (cbrt (+ x y)) 6) (+ x y) (+ x y) 2 (* x (+ x y)) (* y (+ x y)) (* x (+ x y)) (* y (+ x y)) (pow (cbrt (+ x y)) 5) (pow (sqrt (+ x y)) 3) (+ x y) (+ x y) (pow (cbrt (+ x y)) 4) (pow (sqrt (+ x y)) 3) (pow (cbrt (+ x y)) 6) (pow (cbrt (+ x y)) 6) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (pow (cbrt (+ x y)) 6) (- x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (pow (cbrt (+ x y)) 6) (- x y)) (pow (cbrt (+ x y)) 6) (pow (cbrt (+ x y)) 6) (pow (cbrt (+ x y)) 6) 0.139 * * * [progress]: adding candidates to table 0.173 * * [progress]: iteration 2 / 4 0.174 * * * [progress]: picking best candidate 0.176 * * * * [pick]: Picked # 0.176 * * * [progress]: localizing error 0.181 * * * [progress]: generating rewritten candidates 0.181 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.188 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.195 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.202 * * * [progress]: generating series expansions 0.203 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.203 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 0.203 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 0.203 * [taylor]: Taking taylor expansion of x in y 0.203 * [taylor]: Taking taylor expansion of (+ x y) in y 0.203 * [taylor]: Taking taylor expansion of x in y 0.203 * [taylor]: Taking taylor expansion of y in y 0.203 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.203 * [taylor]: Taking taylor expansion of (+ x y) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.203 * [taylor]: Taking taylor expansion of y in x 0.203 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.203 * [taylor]: Taking taylor expansion of (+ x y) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.203 * [taylor]: Taking taylor expansion of y in x 0.203 * [taylor]: Taking taylor expansion of 0 in y 0.203 * [taylor]: Taking taylor expansion of y in y 0.203 * [taylor]: Taking taylor expansion of 1 in y 0.203 * [taylor]: Taking taylor expansion of 0 in y 0.203 * [taylor]: Taking taylor expansion of 0 in y 0.204 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.204 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.204 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.204 * [taylor]: Taking taylor expansion of y in y 0.204 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.204 * [taylor]: Taking taylor expansion of x in y 0.204 * [taylor]: Taking taylor expansion of x in y 0.204 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.204 * [taylor]: Taking taylor expansion of y in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.204 * [taylor]: Taking taylor expansion of y in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of 1 in y 0.204 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.204 * [taylor]: Taking taylor expansion of y in y 0.205 * [taylor]: Taking taylor expansion of 0 in y 0.205 * [taylor]: Taking taylor expansion of 0 in y 0.205 * [taylor]: Taking taylor expansion of 0 in y 0.205 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.205 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.205 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.205 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.205 * [taylor]: Taking taylor expansion of y in y 0.205 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.205 * [taylor]: Taking taylor expansion of x in y 0.205 * [taylor]: Taking taylor expansion of x in y 0.206 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.206 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.206 * [taylor]: Taking taylor expansion of y in x 0.206 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.206 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.206 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.206 * [taylor]: Taking taylor expansion of y in x 0.206 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.206 * [taylor]: Taking taylor expansion of 1 in y 0.206 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.206 * [taylor]: Taking taylor expansion of y in y 0.206 * [taylor]: Taking taylor expansion of 0 in y 0.206 * [taylor]: Taking taylor expansion of 0 in y 0.207 * [taylor]: Taking taylor expansion of 0 in y 0.207 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.207 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 0.207 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 0.207 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.207 * [taylor]: Taking taylor expansion of x in y 0.207 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 0.207 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.207 * [taylor]: Taking taylor expansion of y in y 0.207 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 0.207 * [taylor]: Taking taylor expansion of 2 in y 0.207 * [taylor]: Taking taylor expansion of (* x y) in y 0.207 * [taylor]: Taking taylor expansion of x in y 0.207 * [taylor]: Taking taylor expansion of y in y 0.207 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.207 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.207 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.207 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.207 * [taylor]: Taking taylor expansion of y in x 0.207 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.207 * [taylor]: Taking taylor expansion of 2 in x 0.207 * [taylor]: Taking taylor expansion of (* x y) in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.208 * [taylor]: Taking taylor expansion of y in x 0.208 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.208 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.208 * [taylor]: Taking taylor expansion of x in x 0.208 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.208 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.208 * [taylor]: Taking taylor expansion of y in x 0.208 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.208 * [taylor]: Taking taylor expansion of 2 in x 0.208 * [taylor]: Taking taylor expansion of (* x y) in x 0.208 * [taylor]: Taking taylor expansion of x in x 0.208 * [taylor]: Taking taylor expansion of y in x 0.208 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.208 * [taylor]: Taking taylor expansion of y in y 0.208 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.208 * [taylor]: Taking taylor expansion of 2 in y 0.208 * [taylor]: Taking taylor expansion of y in y 0.208 * [taylor]: Taking taylor expansion of 1 in y 0.209 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.209 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.209 * [taylor]: Taking taylor expansion of x in y 0.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.209 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.209 * [taylor]: Taking taylor expansion of y in y 0.209 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.209 * [taylor]: Taking taylor expansion of 2 in y 0.209 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.209 * [taylor]: Taking taylor expansion of (* x y) in y 0.209 * [taylor]: Taking taylor expansion of x in y 0.209 * [taylor]: Taking taylor expansion of y in y 0.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.209 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.209 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.209 * [taylor]: Taking taylor expansion of y in x 0.209 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.209 * [taylor]: Taking taylor expansion of 2 in x 0.209 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.209 * [taylor]: Taking taylor expansion of (* x y) in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.209 * [taylor]: Taking taylor expansion of y in x 0.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.210 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.210 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.210 * [taylor]: Taking taylor expansion of y in x 0.210 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.210 * [taylor]: Taking taylor expansion of 2 in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.210 * [taylor]: Taking taylor expansion of (* x y) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of y in x 0.210 * [taylor]: Taking taylor expansion of 1 in y 0.210 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.210 * [taylor]: Taking taylor expansion of 2 in y 0.210 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.210 * [taylor]: Taking taylor expansion of y in y 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.210 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.210 * [taylor]: Taking taylor expansion of y in y 0.211 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.211 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.211 * [taylor]: Taking taylor expansion of x in y 0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.211 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.211 * [taylor]: Taking taylor expansion of y in y 0.211 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.211 * [taylor]: Taking taylor expansion of 2 in y 0.211 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.211 * [taylor]: Taking taylor expansion of (* x y) in y 0.211 * [taylor]: Taking taylor expansion of x in y 0.211 * [taylor]: Taking taylor expansion of y in y 0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.211 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.212 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.212 * [taylor]: Taking taylor expansion of y in x 0.212 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.212 * [taylor]: Taking taylor expansion of 2 in x 0.212 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.212 * [taylor]: Taking taylor expansion of (* x y) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of y in x 0.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.212 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.212 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.212 * [taylor]: Taking taylor expansion of y in x 0.212 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.212 * [taylor]: Taking taylor expansion of 2 in x 0.212 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.212 * [taylor]: Taking taylor expansion of (* x y) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of y in x 0.212 * [taylor]: Taking taylor expansion of 1 in y 0.212 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.212 * [taylor]: Taking taylor expansion of 2 in y 0.212 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.212 * [taylor]: Taking taylor expansion of y in y 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.213 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.213 * [taylor]: Taking taylor expansion of y in y 0.213 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.213 * [approximate]: Taking taylor expansion of (* y (+ x y)) in (y x) around 0 0.213 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 0.213 * [taylor]: Taking taylor expansion of y in x 0.213 * [taylor]: Taking taylor expansion of (+ x y) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.213 * [taylor]: Taking taylor expansion of y in x 0.213 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.213 * [taylor]: Taking taylor expansion of y in y 0.213 * [taylor]: Taking taylor expansion of (+ x y) in y 0.213 * [taylor]: Taking taylor expansion of x in y 0.213 * [taylor]: Taking taylor expansion of y in y 0.213 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.213 * [taylor]: Taking taylor expansion of y in y 0.213 * [taylor]: Taking taylor expansion of (+ x y) in y 0.213 * [taylor]: Taking taylor expansion of x in y 0.213 * [taylor]: Taking taylor expansion of y in y 0.214 * [taylor]: Taking taylor expansion of 0 in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [taylor]: Taking taylor expansion of 1 in x 0.214 * [taylor]: Taking taylor expansion of 0 in x 0.214 * [taylor]: Taking taylor expansion of 0 in x 0.214 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.214 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.214 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.214 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.214 * [taylor]: Taking taylor expansion of y in x 0.214 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [taylor]: Taking taylor expansion of y in x 0.214 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.214 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.214 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.214 * [taylor]: Taking taylor expansion of y in y 0.214 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.214 * [taylor]: Taking taylor expansion of x in y 0.214 * [taylor]: Taking taylor expansion of y in y 0.214 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.214 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.215 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.215 * [taylor]: Taking taylor expansion of y in y 0.215 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.215 * [taylor]: Taking taylor expansion of x in y 0.215 * [taylor]: Taking taylor expansion of y in y 0.215 * [taylor]: Taking taylor expansion of 1 in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of 0 in x 0.215 * [taylor]: Taking taylor expansion of 0 in x 0.216 * [taylor]: Taking taylor expansion of 0 in x 0.216 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.216 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.216 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.216 * [taylor]: Taking taylor expansion of y in x 0.216 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of y in x 0.216 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.216 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.216 * [taylor]: Taking taylor expansion of y in y 0.216 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.216 * [taylor]: Taking taylor expansion of x in y 0.216 * [taylor]: Taking taylor expansion of y in y 0.216 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.216 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.216 * [taylor]: Taking taylor expansion of y in y 0.216 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.216 * [taylor]: Taking taylor expansion of x in y 0.216 * [taylor]: Taking taylor expansion of y in y 0.216 * [taylor]: Taking taylor expansion of 1 in x 0.216 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of 0 in x 0.217 * [taylor]: Taking taylor expansion of 0 in x 0.217 * [taylor]: Taking taylor expansion of 0 in x 0.217 * * * [progress]: simplifying candidates 0.218 * [simplify]: Simplifying using # : (* 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))) (* (sqrt x) (sqrt (+ x y))) (* (sqrt x) (sqrt (+ x y))) (* x x) (* x y) (* x x) (* y x) (* x (* (cbrt (+ x y)) (cbrt (+ x y)))) (* x (sqrt (+ x y))) (* x 1) (* x 1) (* (cbrt x) (+ x y)) (* (sqrt x) (+ x y)) (* x (+ x y)) (* x (+ (pow x 3) (pow y 3))) (* x (- (* x x) (* y y))) (* (exp (* x (+ x y))) (exp (* y (+ x y)))) (log (+ (* x (+ x y)) (* y (+ x y)))) (exp (+ (* x (+ x y)) (* y (+ x y)))) (* (cbrt (+ (* x (+ x y)) (* y (+ x y)))) (cbrt (+ (* x (+ x y)) (* y (+ x y))))) (cbrt (+ (* x (+ x y)) (* y (+ x y)))) (* (* (+ (* x (+ x y)) (* y (+ x y))) (+ (* x (+ x y)) (* y (+ x y)))) (+ (* x (+ x y)) (* y (+ x y)))) (sqrt (+ (* x (+ x y)) (* y (+ x y)))) (sqrt (+ (* x (+ x y)) (* y (+ x y)))) (+ (* (* x (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (- (* y y) (* x y))) (* y (+ (pow x 3) (pow y 3))))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* x (+ (pow x 3) (pow y 3))) (- x y)) (* (+ (* x x) (- (* y y) (* x y))) (* y (- (* x x) (* y y))))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (+ (* (* x (- (* x x) (* y y))) (+ (* x x) (- (* y y) (* x y)))) (* (- x y) (* y (+ (pow x 3) (pow y 3))))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* x (- (* x x) (* y y))) (- x y)) (* (- x y) (* y (- (* x x) (* y y))))) (* (- x y) (- x y)) (+ (pow (* x (+ x y)) 3) (pow (* y (+ x y)) 3)) (+ (* (* x (+ x y)) (* x (+ x y))) (- (* (* y (+ x y)) (* y (+ x y))) (* (* x (+ x y)) (* y (+ x y))))) (- (* (* x (+ x y)) (* x (+ x y))) (* (* y (+ x y)) (* y (+ x y)))) (- (* x (+ x y)) (* y (+ x y))) (+ x y) (+ (* x (+ x y)) (* y x)) (+ (* x (+ x y)) (* x y)) (+ (* x y) (* y (+ x y))) (+ (* y x) (* y (+ x y))) (* y (+ x y)) (+ (log y) (log (+ x y))) (log (* y (+ x y))) (exp (* y (+ x y))) (* (* (* y y) y) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* y (+ x y))) (cbrt (* y (+ x y)))) (cbrt (* y (+ x y))) (* (* (* y (+ x y)) (* y (+ x y))) (* y (+ x y))) (sqrt (* y (+ x y))) (sqrt (* y (+ x y))) (* (sqrt y) (sqrt (+ x y))) (* (sqrt y) (sqrt (+ x y))) (* y x) (* y y) (* x y) (* y y) (* y (* (cbrt (+ x y)) (cbrt (+ x y)))) (* y (sqrt (+ x y))) (* y 1) (* y 1) (* (cbrt y) (+ x y)) (* (sqrt y) (+ x y)) (* y (+ x y)) (* y (+ (pow x 3) (pow y 3))) (* y (- (* x x) (* y y))) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) 0.261 * * [simplify]: iteration 0 : 4841 enodes (cost 616 ) 0.261 * * [simplify]: iteration 1 : 4841 enodes (cost 616 ) 0.264 * [simplify]: Simplified to: (* x (+ x y)) (log (* x (+ x y))) (log (* x (+ x y))) (pow (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))) (* (sqrt x) (sqrt (+ x y))) (* (sqrt x) (sqrt (+ x y))) (* x x) (* x y) (* x x) (* x y) (* x (* (cbrt (+ x y)) (cbrt (+ x y)))) (* x (sqrt (+ x y))) x x (* (+ x y) (cbrt x)) (* (+ x y) (sqrt x)) (* x (+ x y)) (+ (pow x 4) (* x (pow y 3))) (- (pow x 3) (* x (* y y))) (exp (pow (+ x y) 2)) (* 2 (log (+ x y))) (exp (pow (+ x y) 2)) (* (cbrt (pow (+ x y) 2)) (cbrt (pow (+ x y) 2))) (cbrt (pow (+ x y) 2)) (pow (+ x y) 6) (fabs (+ x y)) (fabs (+ x y)) (* (+ (pow x 3) (pow y 3)) (* (+ (* x x) (* y (- y x))) (+ x y))) (* (+ (* x x) (* y (- y x))) (+ (* x x) (* y (- y x)))) (* (- x y) (+ (+ (pow x 4) (* x (pow y 3))) (* (+ x y) (* y (+ (* x x) (* y (- y x))))))) (* (+ (* x x) (* y (- y x))) (- x y)) (+ (* x (* (+ x y) (* (+ (* x x) (* y (- y x))) (- x y)))) (* y (* (+ (pow x 3) (pow y 3)) (- x y)))) (* (+ (* x x) (* y (- y x))) (- x y)) (* (- x y) (* (pow (+ x y) 2) (- x y))) (* (- x y) (- x y)) (* (pow (+ x y) 3) (+ (pow x 3) (pow y 3))) (* (+ x y) (* (+ x y) (+ (* x x) (* y (- y x))))) (* (pow (+ x y) 3) (- x y)) (- (* x x) (* y y)) (+ x y) (* x (+ x (+ y y))) (* x (+ x (+ y y))) (* y (+ x (+ x y))) (* y (+ x (+ x y))) (* y (+ x y)) (log (* y (+ x y))) (log (* y (+ x y))) (pow (exp y) (+ x y)) (pow (* y (+ x y)) 3) (* (cbrt (* y (+ x y))) (cbrt (* y (+ x y)))) (cbrt (* y (+ x y))) (pow (* y (+ x y)) 3) (sqrt (* y (+ x y))) (sqrt (* y (+ x y))) (* (sqrt (+ x y)) (sqrt y)) (* (sqrt (+ x y)) (sqrt y)) (* x y) (* y y) (* x y) (* y y) (* y (* (cbrt (+ x y)) (cbrt (+ x y)))) (* y (sqrt (+ x y))) y y (* (+ x y) (cbrt y)) (* (+ x y) (sqrt y)) (* y (+ x y)) (+ (* y (pow x 3)) (pow y 4)) (- (* y (* x x)) (pow y 3)) (* x (+ x y)) (* x (+ x y)) (* x (+ x y)) (pow (+ x y) 2) (pow (+ x y) 2) (pow (+ x y) 2) (* y (+ x y)) (* y (+ x y)) (* y (+ x y)) 0.265 * * * [progress]: adding candidates to table 0.329 * * [progress]: iteration 3 / 4 0.329 * * * [progress]: picking best candidate 0.331 * * * * [pick]: Picked # 0.331 * * * [progress]: localizing error 0.338 * * * [progress]: generating rewritten candidates 0.338 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.348 * * * [progress]: generating series expansions 0.348 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.348 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 0.348 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 0.348 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.348 * [taylor]: Taking taylor expansion of x in y 0.349 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 0.349 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.349 * [taylor]: Taking taylor expansion of y in y 0.349 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 0.349 * [taylor]: Taking taylor expansion of 2 in y 0.349 * [taylor]: Taking taylor expansion of (* x y) in y 0.349 * [taylor]: Taking taylor expansion of x in y 0.349 * [taylor]: Taking taylor expansion of y in y 0.349 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.349 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.349 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.349 * [taylor]: Taking taylor expansion of y in x 0.349 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.349 * [taylor]: Taking taylor expansion of 2 in x 0.349 * [taylor]: Taking taylor expansion of (* x y) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of y in x 0.349 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.349 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.349 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.349 * [taylor]: Taking taylor expansion of y in x 0.349 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.349 * [taylor]: Taking taylor expansion of 2 in x 0.349 * [taylor]: Taking taylor expansion of (* x y) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of y in x 0.349 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.349 * [taylor]: Taking taylor expansion of y in y 0.349 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.349 * [taylor]: Taking taylor expansion of 2 in y 0.349 * [taylor]: Taking taylor expansion of y in y 0.350 * [taylor]: Taking taylor expansion of 1 in y 0.350 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.350 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.350 * [taylor]: Taking taylor expansion of x in y 0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.350 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.350 * [taylor]: Taking taylor expansion of y in y 0.350 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.350 * [taylor]: Taking taylor expansion of 2 in y 0.350 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.350 * [taylor]: Taking taylor expansion of (* x y) in y 0.350 * [taylor]: Taking taylor expansion of x in y 0.350 * [taylor]: Taking taylor expansion of y in y 0.351 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.351 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.351 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.351 * [taylor]: Taking taylor expansion of y in x 0.351 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.351 * [taylor]: Taking taylor expansion of 2 in x 0.351 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.351 * [taylor]: Taking taylor expansion of (* x y) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [taylor]: Taking taylor expansion of y in x 0.351 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.351 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.351 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.351 * [taylor]: Taking taylor expansion of y in x 0.351 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.351 * [taylor]: Taking taylor expansion of 2 in x 0.351 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.351 * [taylor]: Taking taylor expansion of (* x y) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [taylor]: Taking taylor expansion of y in x 0.351 * [taylor]: Taking taylor expansion of 1 in y 0.351 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.352 * [taylor]: Taking taylor expansion of 2 in y 0.352 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.352 * [taylor]: Taking taylor expansion of y in y 0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.352 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.352 * [taylor]: Taking taylor expansion of y in y 0.352 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.352 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.353 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.353 * [taylor]: Taking taylor expansion of x in y 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.353 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.353 * [taylor]: Taking taylor expansion of y in y 0.353 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.353 * [taylor]: Taking taylor expansion of 2 in y 0.353 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.353 * [taylor]: Taking taylor expansion of (* x y) in y 0.353 * [taylor]: Taking taylor expansion of x in y 0.353 * [taylor]: Taking taylor expansion of y in y 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.353 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.353 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.353 * [taylor]: Taking taylor expansion of y in x 0.353 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.353 * [taylor]: Taking taylor expansion of 2 in x 0.353 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.353 * [taylor]: Taking taylor expansion of (* x y) in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.353 * [taylor]: Taking taylor expansion of y in x 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.353 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.353 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.353 * [taylor]: Taking taylor expansion of y in x 0.354 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.354 * [taylor]: Taking taylor expansion of 2 in x 0.354 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.354 * [taylor]: Taking taylor expansion of (* x y) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.354 * [taylor]: Taking taylor expansion of y in x 0.354 * [taylor]: Taking taylor expansion of 1 in y 0.354 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.354 * [taylor]: Taking taylor expansion of 2 in y 0.354 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.354 * [taylor]: Taking taylor expansion of y in y 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.354 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.354 * [taylor]: Taking taylor expansion of y in y 0.355 * * * [progress]: simplifying candidates 0.355 * [simplify]: Simplifying using # : (* (exp (* x (+ x (+ y y)))) (exp (* y y))) (log (+ (* x (+ x (+ y y))) (* y y))) (exp (+ (* x (+ x (+ y y))) (* y y))) (* (cbrt (+ (* x (+ x (+ y y))) (* y y))) (cbrt (+ (* x (+ x (+ y y))) (* y y)))) (cbrt (+ (* x (+ x (+ y y))) (* y y))) (* (* (+ (* x (+ x (+ y y))) (* y y)) (+ (* x (+ x (+ y y))) (* y y))) (+ (* x (+ x (+ y y))) (* y y))) (sqrt (+ (* x (+ x (+ y y))) (* y y))) (sqrt (+ (* x (+ x (+ y y))) (* y y))) (+ (pow (* x (+ x (+ y y))) 3) (pow (* y y) 3)) (+ (* (* x (+ x (+ y y))) (* x (+ x (+ y y)))) (- (* (* y y) (* y y)) (* (* x (+ x (+ y y))) (* y y)))) (- (* (* x (+ x (+ y y))) (* x (+ x (+ y y)))) (* (* y y) (* y y))) (- (* x (+ x (+ y y))) (* y y)) (+ (* x (+ y y)) (* y y)) (+ (* (+ y y) x) (* y y)) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.401 * * [simplify]: iteration 0 : 4967 enodes (cost 167 ) 0.401 * * [simplify]: iteration 1 : 4967 enodes (cost 167 ) 0.403 * [simplify]: Simplified to: (pow (exp (+ x y)) (+ x y)) (log (* (+ x y) (+ x y))) (pow (exp (+ x y)) (+ x y)) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (pow (* (+ x y) (+ x y)) 3) (fabs (+ x y)) (fabs (+ x y)) (+ (pow (* x (+ x (+ y y))) 3) (pow y 6)) (+ (pow y 4) (* x (* (+ x (+ y y)) (+ (* x x) (* y (+ x (- x y))))))) (- (* x (* x (* (+ x (+ y y)) (+ x (+ y y))))) (pow y 4)) (+ (* x x) (* y (+ x (- x y)))) (* y (+ y (+ x x))) (* y (+ y (+ x x))) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) 0.403 * * * [progress]: adding candidates to table 0.418 * [progress]: [Phase 3 of 3] Extracting. 0.418 * * [regime]: Finding splitpoints for: (# #) 0.419 * * * [regime-changes]: Trying 2 branch expressions: (y x) 0.419 * * * * [regimes]: Trying to branch on y from (# #) 0.452 * * * * [regimes]: Trying to branch on x from (# #) 0.483 * * * [regime]: Found split indices: #