21.902 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.030 * * * [progress]: [2/2] Setting up program. 0.032 * [progress]: [Phase 2 of 3] Improving. 0.032 * [simplify]: Simplifying using # : (+ (+ (* x 2.0) (* x x)) (* y y)) 0.035 * * [simplify]: iteration 0 : 15 enodes (cost 4 ) 0.036 * * [simplify]: iteration 1 : 25 enodes (cost 4 ) 0.037 * * [simplify]: iteration 2 : 27 enodes (cost 4 ) 0.039 * * [simplify]: iteration 3 : 27 enodes (cost 4 ) 0.039 * [simplify]: Simplified to: (+ (* y y) (* x (+ 2.0 x))) 0.041 * * [progress]: iteration 1 / 4 0.041 * * * [progress]: picking best candidate 0.043 * * * * [pick]: Picked # 0.043 * * * [progress]: localizing error 0.048 * * * [progress]: generating rewritten candidates 0.048 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.055 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.059 * * * [progress]: generating series expansions 0.060 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.060 * [approximate]: Taking taylor expansion of (* (+ x 2.0) x) in (x) around 0 0.060 * [taylor]: Taking taylor expansion of (* (+ x 2.0) x) in x 0.060 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of 2.0 in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of (* (+ x 2.0) x) in x 0.060 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of 2.0 in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.070 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 2.0) x) in (x) around 0 0.070 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 2.0) x) in x 0.070 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in x 0.070 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of 2.0 in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 2.0) x) in x 0.071 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in x 0.071 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of 2.0 in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.085 * [approximate]: Taking taylor expansion of (* -1 (/ (- 2.0 (/ 1 x)) x)) in (x) around 0 0.085 * [taylor]: Taking taylor expansion of (* -1 (/ (- 2.0 (/ 1 x)) x)) in x 0.085 * [taylor]: Taking taylor expansion of -1 in x 0.085 * [taylor]: Taking taylor expansion of (/ (- 2.0 (/ 1 x)) x) in x 0.085 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in x 0.085 * [taylor]: Taking taylor expansion of 2.0 in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of (* -1 (/ (- 2.0 (/ 1 x)) x)) in x 0.086 * [taylor]: Taking taylor expansion of -1 in x 0.086 * [taylor]: Taking taylor expansion of (/ (- 2.0 (/ 1 x)) x) in x 0.086 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in x 0.087 * [taylor]: Taking taylor expansion of 2.0 in x 0.087 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.106 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.107 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in (y x) around 0 0.107 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 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 0.107 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in x 0.107 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.107 * [taylor]: Taking taylor expansion of 2.0 in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.107 * [taylor]: Taking taylor expansion of y in x 0.107 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 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 (+ (* 2.0 x) (pow y 2)) in y 0.107 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.107 * [taylor]: Taking taylor expansion of 2.0 in y 0.107 * [taylor]: Taking taylor expansion of x 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 (+ (pow x 2) (+ (* 2.0 x) (pow y 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 (+ (* 2.0 x) (pow y 2)) in y 0.107 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.107 * [taylor]: Taking taylor expansion of 2.0 in y 0.107 * [taylor]: Taking taylor expansion of x 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 (+ (pow x 2) (* 2.0 x)) in x 0.107 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.107 * [taylor]: Taking taylor expansion of 2.0 in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.109 * [taylor]: Taking taylor expansion of 0 in x 0.111 * [taylor]: Taking taylor expansion of 1 in x 0.113 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in (y x) around 0 0.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in x 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.113 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 (* 2.0 (/ 1 x)) in x 0.114 * [taylor]: Taking taylor expansion of 2.0 in x 0.114 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.114 * [taylor]: Taking taylor expansion of x in x 0.114 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in y 0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.114 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.114 * [taylor]: Taking taylor expansion of y in y 0.115 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.115 * [taylor]: Taking taylor expansion of 2.0 in y 0.115 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.115 * [taylor]: Taking taylor expansion of x in y 0.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in y 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.115 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.115 * [taylor]: Taking taylor expansion of x in y 0.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.115 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.115 * [taylor]: Taking taylor expansion of y in y 0.116 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.116 * [taylor]: Taking taylor expansion of 2.0 in y 0.116 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.116 * [taylor]: Taking taylor expansion of x in y 0.116 * [taylor]: Taking taylor expansion of 1 in x 0.117 * [taylor]: Taking taylor expansion of 0 in x 0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) 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 (* 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 0.122 * [taylor]: Taking taylor expansion of 0 in x 0.124 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in (y x) around 0 0.124 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in x 0.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.124 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.124 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.124 * [taylor]: Taking taylor expansion of y in x 0.124 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.124 * [taylor]: Taking taylor expansion of 2.0 in x 0.124 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.125 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in y 0.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.125 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.125 * [taylor]: Taking taylor expansion of x in y 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.125 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.125 * [taylor]: Taking taylor expansion of y in y 0.125 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.126 * [taylor]: Taking taylor expansion of 2.0 in y 0.126 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.126 * [taylor]: Taking taylor expansion of x in y 0.126 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in y 0.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.126 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.126 * [taylor]: Taking taylor expansion of x 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 0.126 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.126 * [taylor]: Taking taylor expansion of 2.0 in y 0.126 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.126 * [taylor]: Taking taylor expansion of x in y 0.127 * [taylor]: Taking taylor expansion of 1 in x 0.128 * [taylor]: Taking taylor expansion of 0 in x 0.130 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.130 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.130 * [taylor]: Taking taylor expansion of 2.0 in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.133 * [taylor]: Taking taylor expansion of 0 in x 0.136 * * * [progress]: simplifying candidates 0.137 * [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))) 0.141 * * [simplify]: iteration 0 : 206 enodes (cost 183 ) 0.146 * * [simplify]: iteration 1 : 1038 enodes (cost 169 ) 0.170 * * [simplify]: iteration 2 : 5002 enodes (cost 169 ) 0.172 * [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 (+ (* 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 y) 3) (pow (* x (+ 2.0 x)) 3)) (+ (* (* x (+ 2.0 x)) (- (* x (+ 2.0 x)) (pow y 2))) (* (* y y) (* y y))) (+ (- (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4)) (- (* y y) (* x (+ 2.0 x))) (+ (* y y) (* 2.0 x)) (+ (* y y) (* 2.0 x)) (* 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))) 0.172 * * * [progress]: adding candidates to table 0.241 * * [progress]: iteration 2 / 4 0.241 * * * [progress]: picking best candidate 0.243 * * * * [pick]: Picked # 0.243 * * * [progress]: localizing error 0.250 * * * [progress]: generating rewritten candidates 0.250 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.255 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.263 * * * [progress]: generating series expansions 0.263 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.264 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2.0 x)) in (x) around 0 0.264 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 x)) in x 0.264 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.264 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.264 * [taylor]: Taking taylor expansion of 2.0 in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.264 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 x)) in x 0.264 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.264 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.264 * [taylor]: Taking taylor expansion of 2.0 in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.276 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in (x) around 0 0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.276 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.277 * [taylor]: Taking taylor expansion of 2.0 in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.277 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.278 * [taylor]: Taking taylor expansion of 2.0 in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.295 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in (x) around 0 0.295 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.295 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.296 * [taylor]: Taking taylor expansion of 2.0 in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.296 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.296 * [taylor]: Taking taylor expansion of 2.0 in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.315 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.316 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in (y x) around 0 0.316 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in x 0.316 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.316 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in x 0.316 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.316 * [taylor]: Taking taylor expansion of 2.0 in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.316 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.316 * [taylor]: Taking taylor expansion of y in x 0.316 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in y 0.316 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.316 * [taylor]: Taking taylor expansion of x in y 0.316 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in y 0.316 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.316 * [taylor]: Taking taylor expansion of 2.0 in y 0.316 * [taylor]: Taking taylor expansion of x in y 0.316 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.316 * [taylor]: Taking taylor expansion of y in y 0.316 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in y 0.316 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.316 * [taylor]: Taking taylor expansion of x in y 0.316 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in y 0.316 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.316 * [taylor]: Taking taylor expansion of 2.0 in y 0.316 * [taylor]: Taking taylor expansion of x in y 0.316 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.316 * [taylor]: Taking taylor expansion of y in y 0.316 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 x)) in x 0.316 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.316 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.316 * [taylor]: Taking taylor expansion of 2.0 in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of 0 in x 0.323 * [taylor]: Taking taylor expansion of 1 in x 0.324 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in (y x) around 0 0.324 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.324 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.325 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.325 * [taylor]: Taking taylor expansion of y in x 0.325 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.325 * [taylor]: Taking taylor expansion of 2.0 in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in y 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.325 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.325 * [taylor]: Taking taylor expansion of x in y 0.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.325 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.325 * [taylor]: Taking taylor expansion of y in y 0.326 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.326 * [taylor]: Taking taylor expansion of 2.0 in y 0.326 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.326 * [taylor]: Taking taylor expansion of x in y 0.326 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in y 0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.326 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.326 * [taylor]: Taking taylor expansion of x in y 0.326 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.326 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.326 * [taylor]: Taking taylor expansion of y in y 0.327 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.327 * [taylor]: Taking taylor expansion of 2.0 in y 0.327 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.327 * [taylor]: Taking taylor expansion of x in y 0.327 * [taylor]: Taking taylor expansion of 1 in x 0.328 * [taylor]: Taking taylor expansion of 0 in x 0.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.330 * [taylor]: Taking taylor expansion of 2.0 in x 0.330 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.333 * [taylor]: Taking taylor expansion of 0 in x 0.334 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in (y x) around 0 0.334 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in x 0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.334 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.335 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.335 * [taylor]: Taking taylor expansion of y in x 0.335 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.335 * [taylor]: Taking taylor expansion of 2.0 in x 0.335 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.335 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in y 0.335 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.335 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.335 * [taylor]: Taking taylor expansion of x in y 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.336 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.336 * [taylor]: Taking taylor expansion of y in y 0.336 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.336 * [taylor]: Taking taylor expansion of 2.0 in y 0.336 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.336 * [taylor]: Taking taylor expansion of x in y 0.336 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in y 0.336 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.336 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.336 * [taylor]: Taking taylor expansion of x in y 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.336 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.336 * [taylor]: Taking taylor expansion of y in y 0.337 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.337 * [taylor]: Taking taylor expansion of 2.0 in y 0.337 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.337 * [taylor]: Taking taylor expansion of x in y 0.338 * [taylor]: Taking taylor expansion of 1 in x 0.339 * [taylor]: Taking taylor expansion of 0 in x 0.340 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.340 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.340 * [taylor]: Taking taylor expansion of 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 0.341 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of 0 in x 0.346 * * * [progress]: simplifying candidates 0.347 * [simplify]: Simplifying using # : (* (exp (* x 2.0)) (exp (pow x 2))) (log (+ (* x 2.0) (pow x 2))) (exp (+ (* x 2.0) (pow x 2))) (* (cbrt (+ (* x 2.0) (pow x 2))) (cbrt (+ (* x 2.0) (pow x 2)))) (cbrt (+ (* x 2.0) (pow x 2))) (* (* (+ (* x 2.0) (pow x 2)) (+ (* x 2.0) (pow x 2))) (+ (* x 2.0) (pow x 2))) (sqrt (+ (* x 2.0) (pow x 2))) (sqrt (+ (* x 2.0) (pow x 2))) (+ (pow (* x 2.0) 3) (pow (pow x 2) 3)) (+ (* (* x 2.0) (* x 2.0)) (- (* (pow x 2) (pow x 2)) (* (* x 2.0) (pow x 2)))) (- (* (* x 2.0) (* x 2.0)) (* (pow x 2) (pow x 2))) (- (* x 2.0) (pow x 2)) (+ 2.0 x) (* (exp (* y y)) (* (exp (* x 2.0)) (exp (pow x 2)))) (* (exp (* y y)) (exp (+ (* x 2.0) (pow x 2)))) (log (+ (* y y) (+ (* x 2.0) (pow x 2)))) (exp (+ (* y y) (+ (* x 2.0) (pow x 2)))) (* (cbrt (+ (* y y) (+ (* x 2.0) (pow x 2)))) (cbrt (+ (* y y) (+ (* x 2.0) (pow x 2))))) (cbrt (+ (* y y) (+ (* x 2.0) (pow x 2)))) (* (* (+ (* y y) (+ (* x 2.0) (pow x 2))) (+ (* y y) (+ (* x 2.0) (pow x 2)))) (+ (* y y) (+ (* x 2.0) (pow x 2)))) (sqrt (+ (* y y) (+ (* x 2.0) (pow x 2)))) (sqrt (+ (* y y) (+ (* x 2.0) (pow x 2)))) (+ (pow (* y y) 3) (pow (+ (* x 2.0) (pow x 2)) 3)) (+ (* (* y y) (* y y)) (- (* (+ (* x 2.0) (pow x 2)) (+ (* x 2.0) (pow x 2))) (* (* y y) (+ (* x 2.0) (pow x 2))))) (- (* (* y y) (* y y)) (* (+ (* x 2.0) (pow x 2)) (+ (* x 2.0) (pow x 2)))) (- (* y y) (+ (* x 2.0) (pow x 2))) (+ (* y y) (* x 2.0)) (+ (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))) 0.350 * * [simplify]: iteration 0 : 179 enodes (cost 196 ) 0.355 * * [simplify]: iteration 1 : 812 enodes (cost 177 ) 0.369 * * [simplify]: iteration 2 : 3026 enodes (cost 172 ) 0.434 * * [simplify]: iteration 3 : 5001 enodes (cost 172 ) 0.435 * [simplify]: Simplified to: (pow (exp x) (+ 2.0 x)) (log (+ (* x 2.0) (pow x 2))) (pow (exp x) (+ 2.0 x)) (* (cbrt (+ (* x 2.0) (pow x 2))) (cbrt (+ (* x 2.0) (pow x 2)))) (cbrt (+ (* x 2.0) (pow x 2))) (pow (* x (+ 2.0 x)) 3) (sqrt (+ (* x 2.0) (pow x 2))) (sqrt (+ (* x 2.0) (pow x 2))) (+ (pow (* x 2.0) 3) (pow (pow x 2) 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 (+ (* y y) (+ (* x 2.0) (pow x 2)))) (exp (+ (* y y) (+ (* x 2.0) (pow x 2)))) (log (+ (* y y) (+ (* x 2.0) (pow x 2)))) (exp (+ (* y y) (+ (* x 2.0) (pow x 2)))) (* (cbrt (+ (* y y) (+ (* x 2.0) (pow x 2)))) (cbrt (+ (* y y) (+ (* x 2.0) (pow x 2))))) (cbrt (+ (* y y) (+ (* x 2.0) (pow x 2)))) (pow (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 3) (sqrt (+ (* y y) (+ (* x 2.0) (pow x 2)))) (sqrt (+ (* y y) (+ (* x 2.0) (pow x 2)))) (+ (pow (* y y) 3) (pow (+ (* x 2.0) (pow x 2)) 3)) (+ (* (pow x 2) (* (+ 2.0 x) (+ 2.0 x))) (- (pow y 4) (* (* (* x (+ 2.0 x)) y) y))) (+ (- (* (+ (* x 2.0) (pow x 2)) (+ (* x 2.0) (pow x 2)))) (pow y 4)) (- (* y y) (+ (* x 2.0) (pow x 2))) (+ (* 2.0 x) (pow y 2)) (* x (+ 2.0 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))) 0.435 * * * [progress]: adding candidates to table 0.495 * [progress]: [Phase 3 of 3] Extracting. 0.495 * * [regime]: Finding splitpoints for: (# #) 0.495 * * * [regime-changes]: Trying 3 branch expressions: ((* y y) y x) 0.495 * * * * [regimes]: Trying to branch on (* y y) from (# #) 0.505 * * * * [regimes]: Trying to branch on y from (# #) 0.517 * * * * [regimes]: Trying to branch on x from (# #) 0.529 * * * [regime]: Found split indices: #