29.504 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.020 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying using # : (+ (+ (* x 2.0) (* x x)) (* y y)) 0.023 * * [simplify]: iteration 0 : 15 enodes (cost 4 ) 0.024 * * [simplify]: iteration 1 : 25 enodes (cost 4 ) 0.026 * * [simplify]: iteration 2 : 27 enodes (cost 4 ) 0.027 * * [simplify]: iteration 3 : 27 enodes (cost 4 ) 0.027 * [simplify]: Simplified to: (+ (* y y) (* x (+ 2.0 x))) 0.029 * * [progress]: iteration 1 / 4 0.029 * * * [progress]: picking best candidate 0.032 * * * * [pick]: Picked # 0.032 * * * [progress]: localizing error 0.038 * * * [progress]: generating rewritten candidates 0.038 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.042 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.048 * * * [progress]: generating series expansions 0.048 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.048 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2.0 x)) in (x) around 0 0.048 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 x)) in x 0.048 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.048 * [taylor]: Taking taylor expansion of 2.0 in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 x)) in x 0.048 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.048 * [taylor]: Taking taylor expansion of 2.0 in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.064 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in (x) around 0 0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.064 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.065 * [taylor]: Taking taylor expansion of 2.0 in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.065 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.065 * [taylor]: Taking taylor expansion of 2.0 in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.082 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in (x) around 0 0.082 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.082 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.082 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.082 * [taylor]: Taking taylor expansion of 2.0 in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.083 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.083 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.083 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.083 * [taylor]: Taking taylor expansion of 2.0 in x 0.083 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.101 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.102 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in (x y) around 0 0.102 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in y 0.102 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.102 * [taylor]: Taking taylor expansion of x in y 0.102 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in y 0.102 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.102 * [taylor]: Taking taylor expansion of 2.0 in y 0.102 * [taylor]: Taking taylor expansion of x in y 0.102 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.102 * [taylor]: Taking taylor expansion of y in y 0.102 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in x 0.102 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in x 0.102 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.102 * [taylor]: Taking taylor expansion of 2.0 in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.102 * [taylor]: Taking taylor expansion of y in x 0.102 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in x 0.102 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in x 0.102 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.102 * [taylor]: Taking taylor expansion of 2.0 in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.102 * [taylor]: Taking taylor expansion of y in x 0.103 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.103 * [taylor]: Taking taylor expansion of y in y 0.104 * [taylor]: Taking taylor expansion of 2.0 in y 0.106 * [taylor]: Taking taylor expansion of 1 in y 0.106 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in (x y) around 0 0.106 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in y 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.107 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.107 * [taylor]: Taking taylor expansion of x in y 0.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 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 (* 2.0 (/ 1 x)) in y 0.107 * [taylor]: Taking taylor expansion of 2.0 in y 0.107 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.107 * [taylor]: Taking taylor expansion of x in y 0.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.107 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.108 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.108 * [taylor]: Taking taylor expansion of y in x 0.108 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.108 * [taylor]: Taking taylor expansion of 2.0 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 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in x 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.108 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.109 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.109 * [taylor]: Taking taylor expansion of y in x 0.109 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.109 * [taylor]: Taking taylor expansion of 2.0 in x 0.109 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of 1 in y 0.111 * [taylor]: Taking taylor expansion of 2.0 in y 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.113 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.113 * [taylor]: Taking taylor expansion of y in y 0.116 * [taylor]: Taking taylor expansion of 0 in y 0.118 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in (x y) around 0 0.118 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in y 0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.118 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.118 * [taylor]: Taking taylor expansion of x in y 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.118 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.118 * [taylor]: Taking taylor expansion of y in y 0.118 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.118 * [taylor]: Taking taylor expansion of 2.0 in y 0.119 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.119 * [taylor]: Taking taylor expansion of x in y 0.119 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in x 0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.119 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.119 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.119 * [taylor]: Taking taylor expansion of y in x 0.119 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.119 * [taylor]: Taking taylor expansion of 2.0 in x 0.119 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in x 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.120 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.120 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.120 * [taylor]: Taking taylor expansion of y in x 0.120 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.120 * [taylor]: Taking taylor expansion of 2.0 in x 0.120 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.121 * [taylor]: Taking taylor expansion of 1 in y 0.123 * [taylor]: Taking taylor expansion of (- 2.0) in y 0.123 * [taylor]: Taking taylor expansion of 2.0 in y 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.126 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.126 * [taylor]: Taking taylor expansion of y in y 0.129 * [taylor]: Taking taylor expansion of 0 in y 0.132 * * * [progress]: simplifying candidates 0.132 * [simplify]: Simplifying using # : (* (exp (* x 2.0)) (exp (* x x))) (log (+ (* x 2.0) (* x x))) (exp (+ (* x 2.0) (* x x))) (* (cbrt (+ (* x 2.0) (* x x))) (cbrt (+ (* x 2.0) (* x x)))) (cbrt (+ (* x 2.0) (* x x))) (* (* (+ (* x 2.0) (* x x)) (+ (* x 2.0) (* x x))) (+ (* x 2.0) (* x x))) (sqrt (+ (* x 2.0) (* x x))) (sqrt (+ (* x 2.0) (* x x))) (+ (pow (* x 2.0) 3) (pow (* x x) 3)) (+ (* (* x 2.0) (* x 2.0)) (- (* (* x x) (* x x)) (* (* x 2.0) (* x x)))) (- (* (* x 2.0) (* x 2.0)) (* (* x x) (* x x))) (- (* x 2.0) (* x x)) (+ 2.0 x) (* (* (exp (* x 2.0)) (exp (* x x))) (exp (* y y))) (* (exp (+ (* x 2.0) (* x x))) (exp (* y y))) (log (+ (+ (* x 2.0) (* x x)) (* y y))) (exp (+ (+ (* x 2.0) (* x x)) (* y y))) (* (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))) (cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))) (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))) (* (* (+ (+ (* x 2.0) (* x x)) (* y y)) (+ (+ (* x 2.0) (* x x)) (* y y))) (+ (+ (* x 2.0) (* x x)) (* y y))) (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))) (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))) (+ (pow (+ (* x 2.0) (* x x)) 3) (pow (* y y) 3)) (+ (* (+ (* x 2.0) (* x x)) (+ (* x 2.0) (* x x))) (- (* (* y y) (* y y)) (* (+ (* x 2.0) (* x x)) (* y y)))) (- (* (+ (* x 2.0) (* x x)) (+ (* x 2.0) (* x x))) (* (* y y) (* y y))) (- (+ (* x 2.0) (* x x)) (* y y)) (+ (* x x) (* y y)) (+ (pow x 2) (* 2.0 x)) (+ (pow x 2) (* 2.0 x)) (+ (pow x 2) (* 2.0 x)) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.136 * * [simplify]: iteration 0 : 182 enodes (cost 191 ) 0.141 * * [simplify]: iteration 1 : 887 enodes (cost 164 ) 0.159 * * [simplify]: iteration 2 : 3634 enodes (cost 160 ) 0.238 * * [simplify]: iteration 3 : 5002 enodes (cost 160 ) 0.239 * [simplify]: Simplified to: (pow (exp x) (+ 2.0 x)) (log (+ (* x 2.0) (* x x))) (pow (exp x) (+ 2.0 x)) (* (cbrt (+ (* x 2.0) (* x x))) (cbrt (+ (* x 2.0) (* x x)))) (cbrt (+ (* x 2.0) (* x x))) (pow (* x (+ 2.0 x)) 3) (sqrt (+ (* x 2.0) (* x x))) (sqrt (+ (* x 2.0) (* x x))) (+ (pow (* x 2.0) 3) (pow (* x x) 3)) (+ (* (* x 2.0) (* x (- 2.0 x))) (pow x 4)) (* (pow x 2) (- (* 2.0 2.0) (pow x 2))) (* x (- 2.0 x)) (+ 2.0 x) (exp (+ (* x (+ 2.0 x)) (pow y 2))) (exp (+ (* x (+ 2.0 x)) (pow y 2))) (log (+ (+ (* x 2.0) (* x x)) (* y y))) (exp (+ (* x (+ 2.0 x)) (pow y 2))) (* (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))) (cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))) (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))) (pow (+ (pow y 2) (* x (+ 2.0 x))) 3) (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))) (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))) (+ (pow (+ (* x 2.0) (* x x)) 3) (pow (* y y) 3)) (+ (* (* x (+ 2.0 x)) (- (* x (+ 2.0 x)) (pow y 2))) (pow y 4)) (* (+ (* x (+ 2.0 x)) (pow y 2)) (- (* x (+ 2.0 x)) (pow y 2))) (- (* x (+ 2.0 x)) (pow y 2)) (+ (* x x) (* y y)) (* x (+ 2.0 x)) (* x (+ 2.0 x)) (* x (+ 2.0 x)) (+ (pow y 2) (* x (+ 2.0 x))) (+ (pow y 2) (* x (+ 2.0 x))) (+ (pow y 2) (* x (+ 2.0 x))) 0.239 * * * [progress]: adding candidates to table 0.299 * * [progress]: iteration 2 / 4 0.299 * * * [progress]: picking best candidate 0.300 * * * * [pick]: Picked # 0.300 * * * [progress]: localizing error 0.307 * * * [progress]: generating rewritten candidates 0.307 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.313 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.318 * * * [progress]: generating series expansions 0.318 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.319 * [approximate]: Taking taylor expansion of (* (+ x 2.0) x) in (x) around 0 0.319 * [taylor]: Taking taylor expansion of (* (+ x 2.0) x) in x 0.319 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.319 * [taylor]: Taking taylor expansion of 2.0 in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.319 * [taylor]: Taking taylor expansion of (* (+ x 2.0) x) in x 0.319 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.319 * [taylor]: Taking taylor expansion of 2.0 in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.328 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 2.0) x) in (x) around 0 0.328 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 2.0) x) in x 0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of 2.0 in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 2.0) x) in x 0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of 2.0 in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.340 * [approximate]: Taking taylor expansion of (* -1 (/ (- 2.0 (/ 1 x)) x)) in (x) around 0 0.340 * [taylor]: Taking taylor expansion of (* -1 (/ (- 2.0 (/ 1 x)) x)) in x 0.340 * [taylor]: Taking taylor expansion of -1 in x 0.340 * [taylor]: Taking taylor expansion of (/ (- 2.0 (/ 1 x)) x) in x 0.340 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in x 0.340 * [taylor]: Taking taylor expansion of 2.0 in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of (* -1 (/ (- 2.0 (/ 1 x)) x)) in x 0.341 * [taylor]: Taking taylor expansion of -1 in x 0.341 * [taylor]: Taking taylor expansion of (/ (- 2.0 (/ 1 x)) x) in x 0.341 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in x 0.341 * [taylor]: Taking taylor expansion of 2.0 in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.360 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.360 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in (y x) around 0 0.360 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in x 0.360 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.360 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in x 0.360 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.360 * [taylor]: Taking taylor expansion of 2.0 in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.360 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.360 * [taylor]: Taking taylor expansion of y in x 0.360 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in y 0.360 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.360 * [taylor]: Taking taylor expansion of x in y 0.360 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in y 0.360 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.360 * [taylor]: Taking taylor expansion of 2.0 in y 0.360 * [taylor]: Taking taylor expansion of x in y 0.360 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.360 * [taylor]: Taking taylor expansion of y in y 0.360 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in y 0.360 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.360 * [taylor]: Taking taylor expansion of x in y 0.360 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in y 0.360 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.360 * [taylor]: Taking taylor expansion of 2.0 in y 0.360 * [taylor]: Taking taylor expansion of x in y 0.360 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.360 * [taylor]: Taking taylor expansion of y in y 0.361 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 x)) in x 0.361 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.361 * [taylor]: Taking taylor expansion of 2.0 in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.362 * [taylor]: Taking taylor expansion of 0 in x 0.364 * [taylor]: Taking taylor expansion of 1 in x 0.366 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in (y x) around 0 0.366 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in x 0.366 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.366 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.367 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.367 * [taylor]: Taking taylor expansion of y in x 0.367 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.367 * [taylor]: Taking taylor expansion of 2.0 in x 0.367 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.367 * [taylor]: Taking taylor expansion of x in x 0.367 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in y 0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.367 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.367 * [taylor]: Taking taylor expansion of x in y 0.367 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.367 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.367 * [taylor]: Taking taylor expansion of y in y 0.368 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.368 * [taylor]: Taking taylor expansion of 2.0 in y 0.368 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.368 * [taylor]: Taking taylor expansion of x in y 0.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in y 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.368 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.368 * [taylor]: Taking taylor expansion of x in y 0.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.368 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.368 * [taylor]: Taking taylor expansion of y in y 0.368 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.368 * [taylor]: Taking taylor expansion of 2.0 in y 0.369 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.369 * [taylor]: Taking taylor expansion of x in y 0.369 * [taylor]: Taking taylor expansion of 1 in x 0.373 * [taylor]: Taking taylor expansion of 0 in x 0.374 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.375 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.375 * [taylor]: Taking taylor expansion of 2.0 in x 0.375 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.377 * [taylor]: Taking taylor expansion of 0 in x 0.379 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in (y x) around 0 0.379 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in x 0.379 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.379 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.380 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.380 * [taylor]: Taking taylor expansion of y in x 0.380 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.380 * [taylor]: Taking taylor expansion of 2.0 in x 0.380 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.380 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in y 0.380 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.380 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.380 * [taylor]: Taking taylor expansion of x in y 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.381 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.381 * [taylor]: Taking taylor expansion of y in y 0.381 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.381 * [taylor]: Taking taylor expansion of 2.0 in y 0.381 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.381 * [taylor]: Taking taylor expansion of x in y 0.381 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in y 0.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.381 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.381 * [taylor]: Taking taylor expansion of x in y 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.381 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.381 * [taylor]: Taking taylor expansion of y in y 0.382 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.382 * [taylor]: Taking taylor expansion of 2.0 in y 0.382 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.382 * [taylor]: Taking taylor expansion of x in y 0.382 * [taylor]: Taking taylor expansion of 1 in x 0.384 * [taylor]: Taking taylor expansion of 0 in x 0.385 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.385 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.385 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.385 * [taylor]: Taking taylor expansion of 2.0 in x 0.385 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.388 * [taylor]: Taking taylor expansion of 0 in x 0.391 * * * [progress]: simplifying candidates 0.391 * [simplify]: Simplifying using # : (* x (+ 2.0 x)) (+ (log x) (log (+ 2.0 x))) (log (* x (+ 2.0 x))) (exp (* x (+ 2.0 x))) (* (* (* x x) x) (* (* (+ 2.0 x) (+ 2.0 x)) (+ 2.0 x))) (* (cbrt (* x (+ 2.0 x))) (cbrt (* x (+ 2.0 x)))) (cbrt (* x (+ 2.0 x))) (* (* (* x (+ 2.0 x)) (* x (+ 2.0 x))) (* x (+ 2.0 x))) (sqrt (* x (+ 2.0 x))) (sqrt (* x (+ 2.0 x))) (* (sqrt x) (sqrt (+ 2.0 x))) (* (sqrt x) (sqrt (+ 2.0 x))) (* x 2.0) (* x x) (* 2.0 x) (* x x) (* x (* (cbrt (+ 2.0 x)) (cbrt (+ 2.0 x)))) (* x (sqrt (+ 2.0 x))) (* x 1) (* x 1) (* (cbrt x) (+ 2.0 x)) (* (sqrt x) (+ 2.0 x)) (* x (+ 2.0 x)) (* x (+ (pow 2.0 3) (pow x 3))) (* x (- (* 2.0 2.0) (* x x))) (* (exp (pow y 2)) (exp (* x (+ 2.0 x)))) (log (+ (pow y 2) (* x (+ 2.0 x)))) (exp (+ (pow y 2) (* x (+ 2.0 x)))) (* (cbrt (+ (pow y 2) (* x (+ 2.0 x)))) (cbrt (+ (pow y 2) (* x (+ 2.0 x))))) (cbrt (+ (pow y 2) (* x (+ 2.0 x)))) (* (* (+ (pow y 2) (* x (+ 2.0 x))) (+ (pow y 2) (* x (+ 2.0 x)))) (+ (pow y 2) (* x (+ 2.0 x)))) (sqrt (+ (pow y 2) (* x (+ 2.0 x)))) (sqrt (+ (pow y 2) (* x (+ 2.0 x)))) (+ (pow (pow y 2) 3) (pow (* x (+ 2.0 x)) 3)) (+ (* (pow y 2) (pow y 2)) (- (* (* x (+ 2.0 x)) (* x (+ 2.0 x))) (* (pow y 2) (* x (+ 2.0 x))))) (- (* (pow y 2) (pow y 2)) (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (- (pow y 2) (* x (+ 2.0 x))) (+ (pow y 2) (* x 2.0)) (+ (pow y 2) (* 2.0 x)) (+ (pow x 2) (* 2.0 x)) (+ (pow x 2) (* 2.0 x)) (+ (pow x 2) (* 2.0 x)) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.395 * * [simplify]: iteration 0 : 195 enodes (cost 180 ) 0.400 * * [simplify]: iteration 1 : 967 enodes (cost 167 ) 0.423 * * [simplify]: iteration 2 : 5002 enodes (cost 167 ) 0.424 * [simplify]: Simplified to: (* x (+ 2.0 x)) (log (* x (+ 2.0 x))) (log (* x (+ 2.0 x))) (exp (* x (+ 2.0 x))) (pow (* x (+ 2.0 x)) 3) (* (cbrt (* x (+ 2.0 x))) (cbrt (* x (+ 2.0 x)))) (cbrt (* x (+ 2.0 x))) (pow (* x (+ 2.0 x)) 3) (sqrt (* x (+ 2.0 x))) (sqrt (* x (+ 2.0 x))) (* (sqrt (+ 2.0 x)) (pow x 1/2)) (* (sqrt (+ 2.0 x)) (pow x 1/2)) (* x 2.0) (pow x 2) (* x 2.0) (pow x 2) (* x (* (cbrt (+ 2.0 x)) (cbrt (+ 2.0 x)))) (* x (sqrt (+ 2.0 x))) x x (* (cbrt x) (+ 2.0 x)) (* (sqrt x) (+ 2.0 x)) (* x (+ 2.0 x)) (* x (+ (pow 2.0 3) (pow x 3))) (* x (- (* 2.0 2.0) (* x x))) (exp (+ (pow y 2) (* x (+ 2.0 x)))) (log (+ (pow y 2) (* x (+ 2.0 x)))) (exp (+ (pow y 2) (* x (+ 2.0 x)))) (* (cbrt (+ (pow y 2) (* x (+ 2.0 x)))) (cbrt (+ (pow y 2) (* x (+ 2.0 x))))) (cbrt (+ (pow y 2) (* x (+ 2.0 x)))) (pow (+ (pow y 2) (* x (+ 2.0 x))) 3) (sqrt (+ (pow y 2) (* x (+ 2.0 x)))) (sqrt (+ (pow y 2) (* x (+ 2.0 x)))) (+ (pow (pow y 2) 3) (pow (* x (+ 2.0 x)) 3)) (+ (* (* x (+ 2.0 x)) (- (* x (+ 2.0 x)) (pow y 2))) (pow y 4)) (+ (pow y 4) (- (* (* x (+ 2.0 x)) (* x (+ 2.0 x))))) (- (pow y 2) (* x (+ 2.0 x))) (+ (pow y 2) (* 2.0 x)) (+ (pow y 2) (* 2.0 x)) (* x (+ 2.0 x)) (* x (+ 2.0 x)) (* x (+ 2.0 x)) (+ (pow y 2) (* x (+ 2.0 x))) (+ (pow y 2) (* x (+ 2.0 x))) (+ (pow y 2) (* x (+ 2.0 x))) 0.425 * * * [progress]: adding candidates to table 0.493 * [progress]: [Phase 3 of 3] Extracting. 0.493 * * [regime]: Finding splitpoints for: (# #) 0.494 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (+ (* x 2.0) (* x x)) (+ (+ (* x 2.0) (* x x)) (* y y)) y x) 0.494 * * * * [regimes]: Trying to branch on (* y y) from (# #) 0.506 * * * * [regimes]: Trying to branch on (+ (* x 2.0) (* x x)) from (# #) 0.518 * * * * [regimes]: Trying to branch on (+ (+ (* x 2.0) (* x x)) (* y y)) from (# #) 0.529 * * * * [regimes]: Trying to branch on y from (# #) 0.540 * * * * [regimes]: Trying to branch on x from (# #) 0.553 * * * [regime]: Found split indices: #