18.706 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.021 * * * [progress]: [2/2] Setting up program. 0.023 * [progress]: [Phase 2 of 3] Improving. 0.023 * [simplify]: Simplifying using # : (+ (+ (* x 2.0) (* x x)) (* y y)) 0.024 * * [simplify]: iteration 0 : 8 enodes (cost 11 ) 0.025 * * [simplify]: iteration 1 : 15 enodes (cost 9 ) 0.027 * * [simplify]: iteration 2 : 23 enodes (cost 9 ) 0.030 * * [simplify]: iteration 3 : 25 enodes (cost 9 ) 0.033 * * [simplify]: iteration done : 25 enodes (cost 9 ) 0.034 * [simplify]: Simplified to: (+ (* y y) (* x (+ 2.0 x))) 0.036 * * [progress]: iteration 1 / 4 0.036 * * * [progress]: picking best candidate 0.040 * * * * [pick]: Picked # 0.040 * * * [progress]: localizing error 0.047 * * * [progress]: generating rewritten candidates 0.047 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.057 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.065 * * * [progress]: generating series expansions 0.065 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.065 * [approximate]: Taking taylor expansion of (* (+ x 2.0) x) in (x) around 0 0.065 * [taylor]: Taking taylor expansion of (* (+ x 2.0) x) in x 0.065 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of 2.0 in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of (* (+ x 2.0) x) in x 0.066 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of 2.0 in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.077 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 2.0) x) in (x) around 0 0.077 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 2.0) x) in x 0.077 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in x 0.077 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of 2.0 in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 2.0) x) in x 0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of 2.0 in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.091 * [approximate]: Taking taylor expansion of (* -1 (/ (- 2.0 (/ 1 x)) x)) in (x) around 0 0.091 * [taylor]: Taking taylor expansion of (* -1 (/ (- 2.0 (/ 1 x)) x)) in x 0.091 * [taylor]: Taking taylor expansion of -1 in x 0.091 * [taylor]: Taking taylor expansion of (/ (- 2.0 (/ 1 x)) x) in x 0.091 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in x 0.091 * [taylor]: Taking taylor expansion of 2.0 in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of (* -1 (/ (- 2.0 (/ 1 x)) x)) in x 0.092 * [taylor]: Taking taylor expansion of -1 in x 0.092 * [taylor]: Taking taylor expansion of (/ (- 2.0 (/ 1 x)) x) in x 0.093 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in x 0.093 * [taylor]: Taking taylor expansion of 2.0 in x 0.093 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.114 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.114 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in (y x) around 0 0.114 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in x 0.114 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.114 * [taylor]: Taking taylor expansion of x in x 0.114 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in x 0.114 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.114 * [taylor]: Taking taylor expansion of 2.0 in x 0.114 * [taylor]: Taking taylor expansion of x in x 0.114 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.114 * [taylor]: Taking taylor expansion of y in x 0.114 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in y 0.114 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.114 * [taylor]: Taking taylor expansion of x in y 0.114 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in y 0.114 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.114 * [taylor]: Taking taylor expansion of 2.0 in y 0.114 * [taylor]: Taking taylor expansion of x in y 0.114 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.114 * [taylor]: Taking taylor expansion of y in y 0.114 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in y 0.114 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.114 * [taylor]: Taking taylor expansion of x in y 0.114 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in y 0.115 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.115 * [taylor]: Taking taylor expansion of 2.0 in y 0.115 * [taylor]: Taking taylor expansion of x in y 0.115 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.115 * [taylor]: Taking taylor expansion of y in y 0.115 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 x)) in x 0.115 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.115 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.115 * [taylor]: Taking taylor expansion of 2.0 in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.117 * [taylor]: Taking taylor expansion of 0 in x 0.120 * [taylor]: Taking taylor expansion of 1 in x 0.121 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in (y x) around 0 0.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in x 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.122 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.122 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.122 * [taylor]: Taking taylor expansion of y in x 0.122 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.122 * [taylor]: Taking taylor expansion of 2.0 in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in y 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.123 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.123 * [taylor]: Taking taylor expansion of x in y 0.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.123 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.123 * [taylor]: Taking taylor expansion of y in y 0.123 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.124 * [taylor]: Taking taylor expansion of 2.0 in y 0.124 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.124 * [taylor]: Taking taylor expansion of x in y 0.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in y 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.124 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.124 * [taylor]: Taking taylor expansion of x in y 0.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.124 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.124 * [taylor]: Taking taylor expansion of y in y 0.124 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.125 * [taylor]: Taking taylor expansion of 2.0 in y 0.125 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.125 * [taylor]: Taking taylor expansion of x in y 0.125 * [taylor]: Taking taylor expansion of 1 in x 0.127 * [taylor]: Taking taylor expansion of 0 in x 0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.128 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.129 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.129 * [taylor]: Taking taylor expansion of 2.0 in x 0.129 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.132 * [taylor]: Taking taylor expansion of 0 in x 0.134 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in (y x) around 0 0.134 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in x 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.134 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.135 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.135 * [taylor]: Taking taylor expansion of y in x 0.135 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.135 * [taylor]: Taking taylor expansion of 2.0 in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in y 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.136 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.136 * [taylor]: Taking taylor expansion of x in y 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.136 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.136 * [taylor]: Taking taylor expansion of y in y 0.136 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.136 * [taylor]: Taking taylor expansion of 2.0 in y 0.136 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.136 * [taylor]: Taking taylor expansion of x in y 0.136 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in y 0.136 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.136 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.136 * [taylor]: Taking taylor expansion of x in y 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.137 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.137 * [taylor]: Taking taylor expansion of y in y 0.137 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.137 * [taylor]: Taking taylor expansion of 2.0 in y 0.137 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.137 * [taylor]: Taking taylor expansion of x in y 0.138 * [taylor]: Taking taylor expansion of 1 in x 0.139 * [taylor]: Taking taylor expansion of 0 in x 0.141 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.141 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.141 * [taylor]: Taking taylor expansion of 2.0 in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.145 * [taylor]: Taking taylor expansion of 0 in x 0.148 * * * [progress]: simplifying candidates 0.149 * [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 (* y y)) (exp (* x (+ 2.0 x)))) (log (+ (* y y) (* x (+ 2.0 x)))) (exp (+ (* y y) (* x (+ 2.0 x)))) (* (cbrt (+ (* y y) (* x (+ 2.0 x)))) (cbrt (+ (* y y) (* x (+ 2.0 x))))) (cbrt (+ (* y y) (* x (+ 2.0 x)))) (* (* (+ (* y y) (* x (+ 2.0 x))) (+ (* y y) (* x (+ 2.0 x)))) (+ (* y y) (* x (+ 2.0 x)))) (sqrt (+ (* y y) (* x (+ 2.0 x)))) (sqrt (+ (* y y) (* x (+ 2.0 x)))) (+ (pow (* y y) 3) (pow (* x (+ 2.0 x)) 3)) (+ (* (* y y) (* y y)) (- (* (* x (+ 2.0 x)) (* x (+ 2.0 x))) (* (* y y) (* x (+ 2.0 x))))) (- (* (* y y) (* y y)) (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (- (* y y) (* x (+ 2.0 x))) (+ (* y y) (* x 2.0)) (+ (* y y) (* 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))) 0.151 * * [simplify]: iteration 0 : 70 enodes (cost 422 ) 0.176 * * [simplify]: iteration 1 : 203 enodes (cost 386 ) 0.231 * * [simplify]: iteration 2 : 675 enodes (cost 350 ) 0.608 * * [simplify]: iteration 3 : 2724 enodes (cost 350 ) 1.972 * * [simplify]: iteration done : 5000 enodes (cost 350 ) 1.973 * [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 x) (sqrt (+ 2.0 x))) (* (sqrt x) (sqrt (+ 2.0 x))) (* 2.0 x) (* x x) (* 2.0 x) (* x x) (* 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 (+ (* y y) (* x (+ 2.0 x)))) (log (+ (* y y) (* x (+ 2.0 x)))) (exp (+ (* y y) (* x (+ 2.0 x)))) (* (cbrt (+ (* y y) (* x (+ 2.0 x)))) (cbrt (+ (* y y) (* x (+ 2.0 x))))) (cbrt (+ (* y y) (* x (+ 2.0 x)))) (pow (+ (* y y) (* x (+ 2.0 x))) 3) (sqrt (+ (* y y) (* x (+ 2.0 x)))) (sqrt (+ (* y y) (* x (+ 2.0 x)))) (+ (pow y 6) (pow (* x (+ 2.0 x)) 3)) (+ (pow y 4) (* (* x (+ 2.0 x)) (- (* x (+ 2.0 x)) (* y y)))) (- (pow y 4) (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (- (* y y) (* x (+ 2.0 x))) (+ (* y y) (* x 2.0)) (+ (* y y) (* x 2.0)) (* x (+ 2.0 x)) (* x (+ 2.0 x)) (* x (+ 2.0 x)) (+ (* y y) (* x (+ 2.0 x))) (+ (* y y) (* x (+ 2.0 x))) (+ (* y y) (* x (+ 2.0 x))) 1.973 * * * [progress]: adding candidates to table 2.052 * * [progress]: iteration 2 / 4 2.052 * * * [progress]: picking best candidate 2.054 * * * * [pick]: Picked # 2.054 * * * [progress]: localizing error 2.061 * * * [progress]: generating rewritten candidates 2.061 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.073 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.076 * * * [progress]: generating series expansions 2.076 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.076 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in (x y) around 0 2.076 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in y 2.076 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.076 * [taylor]: Taking taylor expansion of x in y 2.076 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in y 2.077 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 2.077 * [taylor]: Taking taylor expansion of 2.0 in y 2.077 * [taylor]: Taking taylor expansion of x in y 2.077 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.077 * [taylor]: Taking taylor expansion of y in y 2.077 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in x 2.077 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.077 * [taylor]: Taking taylor expansion of x in x 2.077 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in x 2.077 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 2.077 * [taylor]: Taking taylor expansion of 2.0 in x 2.077 * [taylor]: Taking taylor expansion of x in x 2.077 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.077 * [taylor]: Taking taylor expansion of y in x 2.077 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in x 2.077 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.077 * [taylor]: Taking taylor expansion of x in x 2.077 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in x 2.077 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 2.077 * [taylor]: Taking taylor expansion of 2.0 in x 2.077 * [taylor]: Taking taylor expansion of x in x 2.077 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.077 * [taylor]: Taking taylor expansion of y in x 2.078 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.078 * [taylor]: Taking taylor expansion of y in y 2.080 * [taylor]: Taking taylor expansion of 2.0 in y 2.081 * [taylor]: Taking taylor expansion of 1 in y 2.082 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in (x y) around 0 2.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in y 2.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.082 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.082 * [taylor]: Taking taylor expansion of x in y 2.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 2.083 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.083 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.083 * [taylor]: Taking taylor expansion of y in y 2.083 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 2.083 * [taylor]: Taking taylor expansion of 2.0 in y 2.083 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.083 * [taylor]: Taking taylor expansion of x in y 2.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in x 2.083 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.083 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.083 * [taylor]: Taking taylor expansion of x in x 2.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 2.084 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.084 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.084 * [taylor]: Taking taylor expansion of y in x 2.084 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 2.084 * [taylor]: Taking taylor expansion of 2.0 in x 2.084 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.084 * [taylor]: Taking taylor expansion of x in x 2.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in x 2.085 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.085 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.085 * [taylor]: Taking taylor expansion of x in x 2.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 2.085 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.085 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.085 * [taylor]: Taking taylor expansion of y in x 2.085 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 2.085 * [taylor]: Taking taylor expansion of 2.0 in x 2.085 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.086 * [taylor]: Taking taylor expansion of x in x 2.086 * [taylor]: Taking taylor expansion of 1 in y 2.088 * [taylor]: Taking taylor expansion of 2.0 in y 2.090 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.090 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.090 * [taylor]: Taking taylor expansion of y in y 2.094 * [taylor]: Taking taylor expansion of 0 in y 2.096 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in (x y) around 0 2.096 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in y 2.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.096 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.096 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.096 * [taylor]: Taking taylor expansion of x in y 2.096 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.096 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.096 * [taylor]: Taking taylor expansion of y in y 2.097 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 2.097 * [taylor]: Taking taylor expansion of 2.0 in y 2.097 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.097 * [taylor]: Taking taylor expansion of x in y 2.097 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in x 2.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.097 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.097 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.097 * [taylor]: Taking taylor expansion of x in x 2.097 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.098 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.098 * [taylor]: Taking taylor expansion of y in x 2.098 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 2.098 * [taylor]: Taking taylor expansion of 2.0 in x 2.098 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.098 * [taylor]: Taking taylor expansion of x in x 2.098 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in x 2.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.098 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.098 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.098 * [taylor]: Taking taylor expansion of x in x 2.099 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.099 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.099 * [taylor]: Taking taylor expansion of y in x 2.099 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 2.099 * [taylor]: Taking taylor expansion of 2.0 in x 2.099 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.099 * [taylor]: Taking taylor expansion of x in x 2.100 * [taylor]: Taking taylor expansion of 1 in y 2.102 * [taylor]: Taking taylor expansion of (- 2.0) in y 2.102 * [taylor]: Taking taylor expansion of 2.0 in y 2.105 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.105 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.105 * [taylor]: Taking taylor expansion of y in y 2.109 * [taylor]: Taking taylor expansion of 0 in y 2.111 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.111 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2.0 x)) in (x) around 0 2.111 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 x)) in x 2.111 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.111 * [taylor]: Taking taylor expansion of x in x 2.111 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 2.111 * [taylor]: Taking taylor expansion of 2.0 in x 2.111 * [taylor]: Taking taylor expansion of x in x 2.111 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 x)) in x 2.111 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.111 * [taylor]: Taking taylor expansion of x in x 2.111 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 2.111 * [taylor]: Taking taylor expansion of 2.0 in x 2.111 * [taylor]: Taking taylor expansion of x in x 2.125 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in (x) around 0 2.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 2.125 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.125 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.125 * [taylor]: Taking taylor expansion of x in x 2.126 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 2.126 * [taylor]: Taking taylor expansion of 2.0 in x 2.126 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.126 * [taylor]: Taking taylor expansion of x in x 2.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 2.126 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.126 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.126 * [taylor]: Taking taylor expansion of x in x 2.127 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 2.127 * [taylor]: Taking taylor expansion of 2.0 in x 2.127 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.127 * [taylor]: Taking taylor expansion of x in x 2.150 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in (x) around 0 2.150 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 2.150 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.150 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.150 * [taylor]: Taking taylor expansion of x in x 2.151 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 2.151 * [taylor]: Taking taylor expansion of 2.0 in x 2.151 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.151 * [taylor]: Taking taylor expansion of x in x 2.151 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 2.151 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.151 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.151 * [taylor]: Taking taylor expansion of x in x 2.152 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 2.152 * [taylor]: Taking taylor expansion of 2.0 in x 2.152 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.152 * [taylor]: Taking taylor expansion of x in x 2.173 * * * [progress]: simplifying candidates 2.173 * [simplify]: Simplifying using # : (* (* (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)) (* (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) (+ (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))) (+ (pow x 2) (* 2.0 x)) (+ (pow x 2) (* 2.0 x)) (+ (pow x 2) (* 2.0 x)) 2.175 * * [simplify]: iteration 0 : 57 enodes (cost 440 ) 2.189 * * [simplify]: iteration 1 : 182 enodes (cost 340 ) 2.273 * * [simplify]: iteration 2 : 703 enodes (cost 308 ) 2.524 * * [simplify]: iteration 3 : 2266 enodes (cost 302 ) 3.361 * * [simplify]: iteration done : 5001 enodes (cost 302 ) 3.361 * [simplify]: Simplified to: (exp (+ (pow y 2) (* x (+ 2.0 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 y 6) (pow (* x (+ 2.0 x)) 3)) (- (pow y 4) (* (* x (+ 2.0 x)) (- (* y y) (* x (+ 2.0 x))))) (- (* (* x (+ 2.0 x)) (* x (+ 2.0 x))) (pow y 4)) (- (* x (+ 2.0 x)) (* y y)) (+ (* x x) (* y y)) (exp (* x (+ 2.0 x))) (log (* x (+ 2.0 x))) (exp (* x (+ 2.0 x))) (* (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))) (+ (pow (* x 2.0) 3) (pow x 6)) (* (* x x) (+ (* 2.0 2.0) (* x (- x 2.0)))) (* (* x (+ 2.0 x)) (* x (- 2.0 x))) (* x (- 2.0 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))) (* x (+ 2.0 x)) (* x (+ 2.0 x)) (* x (+ 2.0 x)) 3.361 * * * [progress]: adding candidates to table 3.426 * [progress]: [Phase 3 of 3] Extracting. 3.426 * * [regime]: Finding splitpoints for: (# #) 3.427 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (+ (* x 2.0) (* x x)) (+ (+ (* x 2.0) (* x x)) (* y y)) y x) 3.427 * * * * [regimes]: Trying to branch on (* y y) from (# #) 3.440 * * * * [regimes]: Trying to branch on (+ (* x 2.0) (* x x)) from (# #) 3.453 * * * * [regimes]: Trying to branch on (+ (+ (* x 2.0) (* x x)) (* y y)) from (# #) 3.466 * * * * [regimes]: Trying to branch on y from (# #) 3.479 * * * * [regimes]: Trying to branch on x from (# #) 3.491 * * * [regime]: Found split indices: #