46.065 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [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)) 0.023 * [simplify]: Sending expressions to egg_math: (+ (+ (* h0 h1) (* h0 h0)) (* h2 h2)) 0.026 * * [simplify]: iteration 0 : 15 enodes (cost 4 ) 0.027 * * [simplify]: iteration 1 : 25 enodes (cost 4 ) 0.028 * * [simplify]: iteration 2 : 27 enodes (cost 4 ) 0.029 * * [simplify]: iteration 3 : 27 enodes (cost 4 ) 0.029 * [simplify]: Simplified to: (+ (* y y) (* x (+ 2.0 x))) 0.031 * * [progress]: iteration 1 / 4 0.031 * * * [progress]: picking best candidate 0.033 * * * * [pick]: Picked # 0.033 * * * [progress]: localizing error 0.042 * * * [progress]: generating rewritten candidates 0.042 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.049 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.076 * * * [progress]: generating series expansions 0.076 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.076 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2.0 x)) in (x) around 0 0.076 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 x)) in x 0.076 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.076 * [taylor]: Taking taylor expansion of 2.0 in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 x)) in x 0.076 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.076 * [taylor]: Taking taylor expansion of 2.0 in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.087 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in (x) around 0 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.088 * [taylor]: Taking taylor expansion of 2.0 in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.089 * [taylor]: Taking taylor expansion of 2.0 in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.106 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in (x) around 0 0.106 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.106 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.106 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.107 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.107 * [taylor]: Taking taylor expansion of 2.0 in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 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 0.107 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.107 * [taylor]: Taking taylor expansion of 2.0 in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.124 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.124 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in (x y) around 0 0.124 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 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 (+ (* 2.0 x) (pow y 2)) in y 0.124 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.124 * [taylor]: Taking taylor expansion of 2.0 in y 0.124 * [taylor]: Taking taylor expansion of x 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 (+ (pow x 2) (+ (* 2.0 x) (pow y 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 (+ (* 2.0 x) (pow y 2)) in x 0.124 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.124 * [taylor]: Taking taylor expansion of 2.0 in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.124 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.124 * [taylor]: Taking taylor expansion of y in x 0.125 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in x 0.125 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.125 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in x 0.125 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.125 * [taylor]: Taking taylor expansion of 2.0 in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.125 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.125 * [taylor]: Taking taylor expansion of y in x 0.125 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.125 * [taylor]: Taking taylor expansion of y in y 0.126 * [taylor]: Taking taylor expansion of 2.0 in y 0.128 * [taylor]: Taking taylor expansion of 1 in y 0.128 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in (x y) around 0 0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in y 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.128 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.128 * [taylor]: Taking taylor expansion of x in y 0.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.129 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.129 * [taylor]: Taking taylor expansion of y in y 0.129 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.129 * [taylor]: Taking taylor expansion of 2.0 in y 0.129 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.129 * [taylor]: Taking taylor expansion of x in y 0.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in x 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.129 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.130 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.130 * [taylor]: Taking taylor expansion of y 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 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 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 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.131 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.131 * [taylor]: Taking taylor expansion of y in x 0.131 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.131 * [taylor]: Taking taylor expansion of 2.0 in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [taylor]: Taking taylor expansion of 1 in y 0.133 * [taylor]: Taking taylor expansion of 2.0 in y 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.134 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.134 * [taylor]: Taking taylor expansion of y in y 0.137 * [taylor]: Taking taylor expansion of 0 in y 0.138 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in (x y) around 0 0.139 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in y 0.139 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.139 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.139 * [taylor]: Taking taylor expansion of x in y 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.139 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.139 * [taylor]: Taking taylor expansion of y in y 0.139 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.139 * [taylor]: Taking taylor expansion of 2.0 in y 0.139 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.139 * [taylor]: Taking taylor expansion of x in y 0.139 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in x 0.139 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.139 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.139 * [taylor]: Taking taylor expansion of x in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.140 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.140 * [taylor]: Taking taylor expansion of y in x 0.140 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.140 * [taylor]: Taking taylor expansion of 2.0 in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.140 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in x 0.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.140 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.141 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.141 * [taylor]: Taking taylor expansion of y 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 0.141 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of 1 in y 0.143 * [taylor]: Taking taylor expansion of (- 2.0) in y 0.143 * [taylor]: Taking taylor expansion of 2.0 in y 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.145 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.145 * [taylor]: Taking taylor expansion of y in y 0.148 * [taylor]: Taking taylor expansion of 0 in y 0.150 * * * [progress]: simplifying candidates 0.150 * [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))) 0.150 * [simplify]: Sending expressions to egg_math: (* (exp (* h0 h1)) (exp (* h0 h0))) (log (+ (* h0 h1) (* h0 h0))) (exp (+ (* h0 h1) (* h0 h0))) (* (cbrt (+ (* h0 h1) (* h0 h0))) (cbrt (+ (* h0 h1) (* h0 h0)))) (cbrt (+ (* h0 h1) (* h0 h0))) (* (* (+ (* h0 h1) (* h0 h0)) (+ (* h0 h1) (* h0 h0))) (+ (* h0 h1) (* h0 h0))) (sqrt (+ (* h0 h1) (* h0 h0))) (sqrt (+ (* h0 h1) (* h0 h0))) (+ (pow (* h0 h1) 3) (pow (* h0 h0) 3)) (+ (* (* h0 h1) (* h0 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h0 h1) (* h0 h0)))) (- (* (* h0 h1) (* h0 h1)) (* (* h0 h0) (* h0 h0))) (- (* h0 h1) (* h0 h0)) (+ h1 h0) (* (* (exp (* h0 h1)) (exp (* h0 h0))) (exp (* h2 h2))) (* (exp (+ (* h0 h1) (* h0 h0))) (exp (* h2 h2))) (log (+ (+ (* h0 h1) (* h0 h0)) (* h2 h2))) (exp (+ (+ (* h0 h1) (* h0 h0)) (* h2 h2))) (* (cbrt (+ (+ (* h0 h1) (* h0 h0)) (* h2 h2))) (cbrt (+ (+ (* h0 h1) (* h0 h0)) (* h2 h2)))) (cbrt (+ (+ (* h0 h1) (* h0 h0)) (* h2 h2))) (* (* (+ (+ (* h0 h1) (* h0 h0)) (* h2 h2)) (+ (+ (* h0 h1) (* h0 h0)) (* h2 h2))) (+ (+ (* h0 h1) (* h0 h0)) (* h2 h2))) (sqrt (+ (+ (* h0 h1) (* h0 h0)) (* h2 h2))) (sqrt (+ (+ (* h0 h1) (* h0 h0)) (* h2 h2))) (+ (pow (+ (* h0 h1) (* h0 h0)) 3) (pow (* h2 h2) 3)) (+ (* (+ (* h0 h1) (* h0 h0)) (+ (* h0 h1) (* h0 h0))) (- (* (* h2 h2) (* h2 h2)) (* (+ (* h0 h1) (* h0 h0)) (* h2 h2)))) (- (* (+ (* h0 h1) (* h0 h0)) (+ (* h0 h1) (* h0 h0))) (* (* h2 h2) (* h2 h2))) (- (+ (* h0 h1) (* h0 h0)) (* h2 h2)) (+ (* h0 h0) (* h2 h2)) (+ (pow h0 2) (* h1 h0)) (+ (pow h0 2) (* h1 h0)) (+ (pow h0 2) (* h1 h0)) (+ (pow h0 2) (+ (* h1 h0) (pow h2 2))) (+ (pow h0 2) (+ (* h1 h0) (pow h2 2))) (+ (pow h0 2) (+ (* h1 h0) (pow h2 2))) 0.154 * * [simplify]: iteration 0 : 182 enodes (cost 191 ) 0.158 * * [simplify]: iteration 1 : 887 enodes (cost 164 ) 0.173 * * [simplify]: iteration 2 : 3634 enodes (cost 160 ) 0.256 * * [simplify]: iteration 3 : 5002 enodes (cost 160 ) 0.257 * [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))) 0.257 * * * [progress]: adding candidates to table 0.307 * * [progress]: iteration 2 / 4 0.308 * * * [progress]: picking best candidate 0.309 * * * * [pick]: Picked # 0.309 * * * [progress]: localizing error 0.314 * * * [progress]: generating rewritten candidates 0.314 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.333 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.342 * * * [progress]: generating series expansions 0.342 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.342 * [approximate]: Taking taylor expansion of (* (+ x 2.0) x) in (x) around 0 0.342 * [taylor]: Taking taylor expansion of (* (+ x 2.0) x) in x 0.342 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of 2.0 in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of (* (+ x 2.0) x) in x 0.342 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of 2.0 in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.350 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 2.0) x) in (x) around 0 0.350 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 2.0) x) in x 0.351 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in x 0.351 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [taylor]: Taking taylor expansion of 2.0 in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 2.0) x) in x 0.351 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in x 0.351 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [taylor]: Taking taylor expansion of 2.0 in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.361 * [approximate]: Taking taylor expansion of (* -1 (/ (- 2.0 (/ 1 x)) x)) in (x) around 0 0.361 * [taylor]: Taking taylor expansion of (* -1 (/ (- 2.0 (/ 1 x)) x)) in x 0.361 * [taylor]: Taking taylor expansion of -1 in x 0.361 * [taylor]: Taking taylor expansion of (/ (- 2.0 (/ 1 x)) x) in x 0.361 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in x 0.361 * [taylor]: Taking taylor expansion of 2.0 in x 0.361 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.362 * [taylor]: Taking taylor expansion of (* -1 (/ (- 2.0 (/ 1 x)) x)) in x 0.362 * [taylor]: Taking taylor expansion of -1 in x 0.362 * [taylor]: Taking taylor expansion of (/ (- 2.0 (/ 1 x)) x) in x 0.362 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in x 0.362 * [taylor]: Taking taylor expansion of 2.0 in x 0.362 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.378 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.378 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in (y x) around 0 0.379 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 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 0.379 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in x 0.379 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.379 * [taylor]: Taking taylor expansion of 2.0 in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.379 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.379 * [taylor]: Taking taylor expansion of y in x 0.379 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in y 0.379 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.379 * [taylor]: Taking taylor expansion of x in y 0.379 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in y 0.379 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.379 * [taylor]: Taking taylor expansion of 2.0 in y 0.379 * [taylor]: Taking taylor expansion of x in y 0.379 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.379 * [taylor]: Taking taylor expansion of y in y 0.379 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in y 0.379 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.379 * [taylor]: Taking taylor expansion of x in y 0.379 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in y 0.379 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.379 * [taylor]: Taking taylor expansion of 2.0 in y 0.379 * [taylor]: Taking taylor expansion of x in y 0.379 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.379 * [taylor]: Taking taylor expansion of y in y 0.379 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 x)) in x 0.379 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.379 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.379 * [taylor]: Taking taylor expansion of 2.0 in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.380 * [taylor]: Taking taylor expansion of 0 in x 0.383 * [taylor]: Taking taylor expansion of 1 in x 0.386 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in (y x) around 0 0.386 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in x 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.386 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.386 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.386 * [taylor]: Taking taylor expansion of y in x 0.386 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.386 * [taylor]: Taking taylor expansion of 2.0 in x 0.386 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in y 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.387 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.387 * [taylor]: Taking taylor expansion of x in y 0.387 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.387 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.387 * [taylor]: Taking taylor expansion of y in y 0.387 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.387 * [taylor]: Taking taylor expansion of 2.0 in y 0.387 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.387 * [taylor]: Taking taylor expansion of x in y 0.387 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in y 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.387 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.387 * [taylor]: Taking taylor expansion of x in y 0.388 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 0.388 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.388 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.388 * [taylor]: Taking taylor expansion of y in y 0.388 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.388 * [taylor]: Taking taylor expansion of 2.0 in y 0.388 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.388 * [taylor]: Taking taylor expansion of x in y 0.389 * [taylor]: Taking taylor expansion of 1 in x 0.390 * [taylor]: Taking taylor expansion of 0 in x 0.391 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.391 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.391 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.391 * [taylor]: Taking taylor expansion of 2.0 in x 0.391 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.393 * [taylor]: Taking taylor expansion of 0 in x 0.395 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in (y x) around 0 0.395 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in x 0.395 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.395 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.395 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.396 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.396 * [taylor]: Taking taylor expansion of y in x 0.396 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.396 * [taylor]: Taking taylor expansion of 2.0 in x 0.396 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in y 0.396 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.396 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.396 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.396 * [taylor]: Taking taylor expansion of x in y 0.396 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.396 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.396 * [taylor]: Taking taylor expansion of y in y 0.397 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.397 * [taylor]: Taking taylor expansion of 2.0 in y 0.397 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.397 * [taylor]: Taking taylor expansion of x in y 0.397 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in y 0.397 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.397 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.397 * [taylor]: Taking taylor expansion of x in y 0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.397 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.397 * [taylor]: Taking taylor expansion of y in y 0.397 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.397 * [taylor]: Taking taylor expansion of 2.0 in y 0.397 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.397 * [taylor]: Taking taylor expansion of x in y 0.398 * [taylor]: Taking taylor expansion of 1 in x 0.399 * [taylor]: Taking taylor expansion of 0 in x 0.400 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.400 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.400 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.400 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.401 * [taylor]: Taking taylor expansion of 2.0 in x 0.401 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.403 * [taylor]: Taking taylor expansion of 0 in x 0.405 * * * [progress]: simplifying candidates 0.406 * [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))) 0.406 * [simplify]: Sending expressions to egg_math: (* h0 (+ h1 h0)) (+ (log h0) (log (+ h1 h0))) (log (* h0 (+ h1 h0))) (exp (* h0 (+ h1 h0))) (* (* (* h0 h0) h0) (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0))) (* (cbrt (* h0 (+ h1 h0))) (cbrt (* h0 (+ h1 h0)))) (cbrt (* h0 (+ h1 h0))) (* (* (* h0 (+ h1 h0)) (* h0 (+ h1 h0))) (* h0 (+ h1 h0))) (sqrt (* h0 (+ h1 h0))) (sqrt (* h0 (+ h1 h0))) (* (sqrt h0) (sqrt (+ h1 h0))) (* (sqrt h0) (sqrt (+ h1 h0))) (* h0 h1) (* h0 h0) (* h1 h0) (* h0 h0) (* h0 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (* h0 (sqrt (+ h1 h0))) (* h0 1) (* h0 1) (* (cbrt h0) (+ h1 h0)) (* (sqrt h0) (+ h1 h0)) (* h0 (+ h1 h0)) (* h0 (+ (pow h1 3) (pow h0 3))) (* h0 (- (* h1 h1) (* h0 h0))) (* (exp (* h2 h2)) (exp (* h0 (+ h1 h0)))) (log (+ (* h2 h2) (* h0 (+ h1 h0)))) (exp (+ (* h2 h2) (* h0 (+ h1 h0)))) (* (cbrt (+ (* h2 h2) (* h0 (+ h1 h0)))) (cbrt (+ (* h2 h2) (* h0 (+ h1 h0))))) (cbrt (+ (* h2 h2) (* h0 (+ h1 h0)))) (* (* (+ (* h2 h2) (* h0 (+ h1 h0))) (+ (* h2 h2) (* h0 (+ h1 h0)))) (+ (* h2 h2) (* h0 (+ h1 h0)))) (sqrt (+ (* h2 h2) (* h0 (+ h1 h0)))) (sqrt (+ (* h2 h2) (* h0 (+ h1 h0)))) (+ (pow (* h2 h2) 3) (pow (* h0 (+ h1 h0)) 3)) (+ (* (* h2 h2) (* h2 h2)) (- (* (* h0 (+ h1 h0)) (* h0 (+ h1 h0))) (* (* h2 h2) (* h0 (+ h1 h0))))) (- (* (* h2 h2) (* h2 h2)) (* (* h0 (+ h1 h0)) (* h0 (+ h1 h0)))) (- (* h2 h2) (* h0 (+ h1 h0))) (+ (* h2 h2) (* h0 h1)) (+ (* h2 h2) (* h1 h0)) (+ (pow h0 2) (* h1 h0)) (+ (pow h0 2) (* h1 h0)) (+ (pow h0 2) (* h1 h0)) (+ (pow h0 2) (+ (* h1 h0) (pow h2 2))) (+ (pow h0 2) (+ (* h1 h0) (pow h2 2))) (+ (pow h0 2) (+ (* h1 h0) (pow h2 2))) 0.409 * * [simplify]: iteration 0 : 206 enodes (cost 183 ) 0.414 * * [simplify]: iteration 1 : 1038 enodes (cost 169 ) 0.435 * * [simplify]: iteration 2 : 5002 enodes (cost 169 ) 0.436 * [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))) 0.436 * * * [progress]: adding candidates to table 0.492 * [progress]: [Phase 3 of 3] Extracting. 0.492 * * [regime]: Finding splitpoints for: (# #) 0.492 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (+ (* x 2.0) (* x x)) (+ (+ (* x 2.0) (* x x)) (* y y)) y x) 0.492 * * * * [regimes]: Trying to branch on (* y y) from (# #) 0.501 * * * * [regimes]: Trying to branch on (+ (* x 2.0) (* x x)) from (# #) 0.514 * * * * [regimes]: Trying to branch on (+ (+ (* x 2.0) (* x x)) (* y y)) from (# #) 0.525 * * * * [regimes]: Trying to branch on y from (# #) 0.535 * * * * [regimes]: Trying to branch on x from (# #) 0.547 * * * [regime]: Found split indices: #