11.423 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying using # : (* 2.0 (+ (* x x) (* x y))) 0.019 * [simplify]: Sending expressions to egg_math: (* h0 (+ (* h1 h1) (* h1 h2))) 0.022 * * [simplify]: iteration 0 : 18 enodes (cost 3 ) 0.024 * * [simplify]: iteration 1 : 36 enodes (cost 3 ) 0.025 * * [simplify]: iteration 2 : 58 enodes (cost 3 ) 0.027 * * [simplify]: iteration 3 : 60 enodes (cost 3 ) 0.029 * * [simplify]: iteration 4 : 60 enodes (cost 3 ) 0.029 * [simplify]: Simplified to: (* (* x (+ x y)) 2.0) 0.031 * * [progress]: iteration 1 / 4 0.031 * * * [progress]: picking best candidate 0.033 * * * * [pick]: Picked # 0.033 * * * [progress]: localizing error 0.039 * * * [progress]: generating rewritten candidates 0.039 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.063 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.071 * * * [progress]: generating series expansions 0.071 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.071 * [approximate]: Taking taylor expansion of (* 2.0 (+ (pow x 2) (* x y))) in (x y) around 0 0.071 * [taylor]: Taking taylor expansion of (* 2.0 (+ (pow x 2) (* x y))) in y 0.071 * [taylor]: Taking taylor expansion of 2.0 in y 0.071 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in y 0.071 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.071 * [taylor]: Taking taylor expansion of x in y 0.071 * [taylor]: Taking taylor expansion of (* x y) in y 0.071 * [taylor]: Taking taylor expansion of x in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.071 * [taylor]: Taking taylor expansion of (* 2.0 (+ (pow x 2) (* x y))) in x 0.071 * [taylor]: Taking taylor expansion of 2.0 in x 0.071 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in x 0.071 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of (* x y) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of y in x 0.071 * [taylor]: Taking taylor expansion of (* 2.0 (+ (pow x 2) (* x y))) in x 0.072 * [taylor]: Taking taylor expansion of 2.0 in x 0.072 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in x 0.072 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.072 * [taylor]: Taking taylor expansion of (* x y) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.072 * [taylor]: Taking taylor expansion of y in x 0.072 * [taylor]: Taking taylor expansion of 0 in y 0.073 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.073 * [taylor]: Taking taylor expansion of 2.0 in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.075 * [taylor]: Taking taylor expansion of 2.0 in y 0.078 * [taylor]: Taking taylor expansion of 0 in y 0.081 * [taylor]: Taking taylor expansion of 0 in y 0.082 * [approximate]: Taking taylor expansion of (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in (x y) around 0 0.082 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in y 0.082 * [taylor]: Taking taylor expansion of 2.0 in y 0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.082 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.082 * [taylor]: Taking taylor expansion of x in y 0.082 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.082 * [taylor]: Taking taylor expansion of (* x y) in y 0.082 * [taylor]: Taking taylor expansion of x in y 0.082 * [taylor]: Taking taylor expansion of y in y 0.083 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 0.083 * [taylor]: Taking taylor expansion of 2.0 in x 0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.083 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.083 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.083 * [taylor]: Taking taylor expansion of (* x y) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.083 * [taylor]: Taking taylor expansion of y in x 0.084 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 0.084 * [taylor]: Taking taylor expansion of 2.0 in x 0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.084 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.084 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.084 * [taylor]: Taking taylor expansion of (* x y) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.084 * [taylor]: Taking taylor expansion of y in x 0.085 * [taylor]: Taking taylor expansion of 2.0 in y 0.086 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.086 * [taylor]: Taking taylor expansion of 2.0 in y 0.086 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.086 * [taylor]: Taking taylor expansion of y in y 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.092 * [taylor]: Taking taylor expansion of 0 in y 0.096 * [taylor]: Taking taylor expansion of 0 in y 0.096 * [approximate]: Taking taylor expansion of (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in (x y) around 0 0.096 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in y 0.096 * [taylor]: Taking taylor expansion of 2.0 in y 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.096 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.096 * [taylor]: Taking taylor expansion of x in y 0.096 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.097 * [taylor]: Taking taylor expansion of (* x y) in y 0.097 * [taylor]: Taking taylor expansion of x in y 0.097 * [taylor]: Taking taylor expansion of y in y 0.097 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 0.097 * [taylor]: Taking taylor expansion of 2.0 in x 0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.097 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.097 * [taylor]: Taking taylor expansion of (* x y) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [taylor]: Taking taylor expansion of y in x 0.098 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 0.098 * [taylor]: Taking taylor expansion of 2.0 in x 0.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.098 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.098 * [taylor]: Taking taylor expansion of (* x y) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of y in x 0.099 * [taylor]: Taking taylor expansion of 2.0 in y 0.100 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.100 * [taylor]: Taking taylor expansion of 2.0 in y 0.100 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.100 * [taylor]: Taking taylor expansion of y in y 0.103 * [taylor]: Taking taylor expansion of 0 in y 0.106 * [taylor]: Taking taylor expansion of 0 in y 0.110 * [taylor]: Taking taylor expansion of 0 in y 0.110 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.110 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* x y)) in (x y) around 0 0.110 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in y 0.110 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.111 * [taylor]: Taking taylor expansion of x in y 0.111 * [taylor]: Taking taylor expansion of (* x y) in y 0.111 * [taylor]: Taking taylor expansion of x in y 0.111 * [taylor]: Taking taylor expansion of y in y 0.111 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in x 0.111 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.111 * [taylor]: Taking taylor expansion of (* x y) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.111 * [taylor]: Taking taylor expansion of y in x 0.111 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in x 0.111 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.111 * [taylor]: Taking taylor expansion of (* x y) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.111 * [taylor]: Taking taylor expansion of y in x 0.111 * [taylor]: Taking taylor expansion of 0 in y 0.111 * [taylor]: Taking taylor expansion of y in y 0.112 * [taylor]: Taking taylor expansion of 1 in y 0.114 * [taylor]: Taking taylor expansion of 0 in y 0.115 * [taylor]: Taking taylor expansion of 0 in y 0.116 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in (x y) around 0 0.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.116 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.116 * [taylor]: Taking taylor expansion of x in y 0.116 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.116 * [taylor]: Taking taylor expansion of (* x y) in y 0.116 * [taylor]: Taking taylor expansion of x in y 0.116 * [taylor]: Taking taylor expansion of y in y 0.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.116 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.117 * [taylor]: Taking taylor expansion of (* x y) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [taylor]: Taking taylor expansion of y in x 0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.117 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.117 * [taylor]: Taking taylor expansion of (* x y) in x 0.118 * [taylor]: Taking taylor expansion of x in x 0.118 * [taylor]: Taking taylor expansion of y in x 0.118 * [taylor]: Taking taylor expansion of 1 in y 0.119 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.119 * [taylor]: Taking taylor expansion of y in y 0.121 * [taylor]: Taking taylor expansion of 0 in y 0.123 * [taylor]: Taking taylor expansion of 0 in y 0.126 * [taylor]: Taking taylor expansion of 0 in y 0.126 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in (x y) around 0 0.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) 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 (* x y)) in y 0.126 * [taylor]: Taking taylor expansion of (* x y) in y 0.126 * [taylor]: Taking taylor expansion of x in y 0.126 * [taylor]: Taking taylor expansion of y in y 0.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.127 * [taylor]: Taking taylor expansion of (* x y) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of y in x 0.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.128 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.128 * [taylor]: Taking taylor expansion of (* x y) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.128 * [taylor]: Taking taylor expansion of y in x 0.128 * [taylor]: Taking taylor expansion of 1 in y 0.129 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.129 * [taylor]: Taking taylor expansion of y in y 0.131 * [taylor]: Taking taylor expansion of 0 in y 0.134 * [taylor]: Taking taylor expansion of 0 in y 0.136 * [taylor]: Taking taylor expansion of 0 in y 0.137 * * * [progress]: simplifying candidates 0.137 * [simplify]: Simplifying using # : (* 2.0 (+ (* x x) (* x y))) (+ (log 2.0) (log (+ (* x x) (* x y)))) (log (* 2.0 (+ (* x x) (* x y)))) (exp (* 2.0 (+ (* x x) (* x y)))) (* (* (* 2.0 2.0) 2.0) (* (* (+ (* x x) (* x y)) (+ (* x x) (* x y))) (+ (* x x) (* x y)))) (* (cbrt (* 2.0 (+ (* x x) (* x y)))) (cbrt (* 2.0 (+ (* x x) (* x y))))) (cbrt (* 2.0 (+ (* x x) (* x y)))) (* (* (* 2.0 (+ (* x x) (* x y))) (* 2.0 (+ (* x x) (* x y)))) (* 2.0 (+ (* x x) (* x y)))) (sqrt (* 2.0 (+ (* x x) (* x y)))) (sqrt (* 2.0 (+ (* x x) (* x y)))) (* (sqrt 2.0) (sqrt (+ (* x x) (* x y)))) (* (sqrt 2.0) (sqrt (+ (* x x) (* x y)))) (* 2.0 (* x x)) (* 2.0 (* x y)) (* (* x x) 2.0) (* (* x y) 2.0) (* 2.0 (* (cbrt (+ (* x x) (* x y))) (cbrt (+ (* x x) (* x y))))) (* 2.0 (sqrt (+ (* x x) (* x y)))) (* 2.0 1) (* 2.0 x) (* (cbrt 2.0) (+ (* x x) (* x y))) (* (sqrt 2.0) (+ (* x x) (* x y))) (* 2.0 (+ (* x x) (* x y))) (* 2.0 (+ (pow (* x x) 3) (pow (* x y) 3))) (* 2.0 (- (* (* x x) (* x x)) (* (* x y) (* x y)))) (* (exp (* x x)) (exp (* x y))) (log (+ (* x x) (* x y))) (exp (+ (* x x) (* x y))) (* (cbrt (+ (* x x) (* x y))) (cbrt (+ (* x x) (* x y)))) (cbrt (+ (* x x) (* x y))) (* (* (+ (* x x) (* x y)) (+ (* x x) (* x y))) (+ (* x x) (* x y))) (sqrt (+ (* x x) (* x y))) (sqrt (+ (* x x) (* x y))) (+ (pow (* x x) 3) (pow (* x y) 3)) (+ (* (* x x) (* x x)) (- (* (* x y) (* x y)) (* (* x x) (* x y)))) (- (* (* x x) (* x x)) (* (* x y) (* x y))) (- (* x x) (* x y)) (+ x y) (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) 0.138 * [simplify]: Sending expressions to egg_math: (* h0 (+ (* h1 h1) (* h1 h2))) (+ (log h0) (log (+ (* h1 h1) (* h1 h2)))) (log (* h0 (+ (* h1 h1) (* h1 h2)))) (exp (* h0 (+ (* h1 h1) (* h1 h2)))) (* (* (* h0 h0) h0) (* (* (+ (* h1 h1) (* h1 h2)) (+ (* h1 h1) (* h1 h2))) (+ (* h1 h1) (* h1 h2)))) (* (cbrt (* h0 (+ (* h1 h1) (* h1 h2)))) (cbrt (* h0 (+ (* h1 h1) (* h1 h2))))) (cbrt (* h0 (+ (* h1 h1) (* h1 h2)))) (* (* (* h0 (+ (* h1 h1) (* h1 h2))) (* h0 (+ (* h1 h1) (* h1 h2)))) (* h0 (+ (* h1 h1) (* h1 h2)))) (sqrt (* h0 (+ (* h1 h1) (* h1 h2)))) (sqrt (* h0 (+ (* h1 h1) (* h1 h2)))) (* (sqrt h0) (sqrt (+ (* h1 h1) (* h1 h2)))) (* (sqrt h0) (sqrt (+ (* h1 h1) (* h1 h2)))) (* h0 (* h1 h1)) (* h0 (* h1 h2)) (* (* h1 h1) h0) (* (* h1 h2) h0) (* h0 (* (cbrt (+ (* h1 h1) (* h1 h2))) (cbrt (+ (* h1 h1) (* h1 h2))))) (* h0 (sqrt (+ (* h1 h1) (* h1 h2)))) (* h0 1) (* h0 h1) (* (cbrt h0) (+ (* h1 h1) (* h1 h2))) (* (sqrt h0) (+ (* h1 h1) (* h1 h2))) (* h0 (+ (* h1 h1) (* h1 h2))) (* h0 (+ (pow (* h1 h1) 3) (pow (* h1 h2) 3))) (* h0 (- (* (* h1 h1) (* h1 h1)) (* (* h1 h2) (* h1 h2)))) (* (exp (* h1 h1)) (exp (* h1 h2))) (log (+ (* h1 h1) (* h1 h2))) (exp (+ (* h1 h1) (* h1 h2))) (* (cbrt (+ (* h1 h1) (* h1 h2))) (cbrt (+ (* h1 h1) (* h1 h2)))) (cbrt (+ (* h1 h1) (* h1 h2))) (* (* (+ (* h1 h1) (* h1 h2)) (+ (* h1 h1) (* h1 h2))) (+ (* h1 h1) (* h1 h2))) (sqrt (+ (* h1 h1) (* h1 h2))) (sqrt (+ (* h1 h1) (* h1 h2))) (+ (pow (* h1 h1) 3) (pow (* h1 h2) 3)) (+ (* (* h1 h1) (* h1 h1)) (- (* (* h1 h2) (* h1 h2)) (* (* h1 h1) (* h1 h2)))) (- (* (* h1 h1) (* h1 h1)) (* (* h1 h2) (* h1 h2))) (- (* h1 h1) (* h1 h2)) (+ h1 h2) (+ (* h0 (pow h1 2)) (* h0 (* h1 h2))) (+ (* h0 (pow h1 2)) (* h0 (* h1 h2))) (+ (* h0 (pow h1 2)) (* h0 (* h1 h2))) (+ (pow h1 2) (* h1 h2)) (+ (pow h1 2) (* h1 h2)) (+ (pow h1 2) (* h1 h2)) 0.141 * * [simplify]: iteration 0 : 189 enodes (cost 212 ) 0.146 * * [simplify]: iteration 1 : 950 enodes (cost 181 ) 0.170 * * [simplify]: iteration 2 : 5002 enodes (cost 176 ) 0.171 * [simplify]: Simplified to: (* (* x (+ x y)) 2.0) (log (* 2.0 (+ (* x x) (* x y)))) (log (* 2.0 (+ (* x x) (* x y)))) (pow (exp 2.0) (* x (+ x y))) (pow (* (* x (+ x y)) 2.0) 3) (* (cbrt (* 2.0 (+ (* x x) (* x y)))) (cbrt (* 2.0 (+ (* x x) (* x y))))) (cbrt (* 2.0 (+ (* x x) (* x y)))) (pow (* (* x (+ x y)) 2.0) 3) (sqrt (* 2.0 (+ (* x x) (* x y)))) (sqrt (* 2.0 (+ (* x x) (* x y)))) (* (sqrt 2.0) (sqrt (+ (* x x) (* x y)))) (* (sqrt 2.0) (sqrt (+ (* x x) (* x y)))) (* 2.0 (* x x)) (* 2.0 (* x y)) (* 2.0 (* x x)) (* 2.0 (* x y)) (* 2.0 (* (cbrt (+ (* x x) (* x y))) (cbrt (+ (* x x) (* x y))))) (* 2.0 (sqrt (+ (* x x) (* x y)))) 2.0 (* 2.0 x) (* (* x (+ x y)) (cbrt 2.0)) (* (* x (+ x y)) (sqrt 2.0)) (* (* x (+ x y)) 2.0) (* 2.0 (+ (pow x 6) (pow (* x y) 3))) (* (* (* x (+ x y)) 2.0) (* x (- x y))) (pow (exp x) (+ x y)) (log (+ (* x x) (* x y))) (pow (exp x) (+ x y)) (* (cbrt (+ (* x x) (* x y))) (cbrt (+ (* x x) (* x y)))) (cbrt (+ (* x x) (* x y))) (pow (* x (+ x y)) 3) (sqrt (+ (* x x) (* x y))) (sqrt (+ (* x x) (* x y))) (+ (pow x 6) (pow (* x y) 3)) (* x (+ (pow x 3) (* y (* x (- y x))))) (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y)) (+ x y) (* (* x (+ x y)) 2.0) (* (* x (+ x y)) 2.0) (* (* x (+ x y)) 2.0) (* x (+ x y)) (* x (+ x y)) (* x (+ x y)) 0.172 * * * [progress]: adding candidates to table 0.238 * * [progress]: iteration 2 / 4 0.238 * * * [progress]: picking best candidate 0.239 * * * * [pick]: Picked # 0.239 * * * [progress]: localizing error 0.243 * * * [progress]: generating rewritten candidates 0.244 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.270 * * * [progress]: generating series expansions 0.270 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.270 * [approximate]: Taking taylor expansion of (* 2.0 (* x (+ x y))) in (x y) around 0 0.270 * [taylor]: Taking taylor expansion of (* 2.0 (* x (+ x y))) in y 0.270 * [taylor]: Taking taylor expansion of 2.0 in y 0.270 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 0.270 * [taylor]: Taking taylor expansion of x in y 0.270 * [taylor]: Taking taylor expansion of (+ x y) in y 0.270 * [taylor]: Taking taylor expansion of x in y 0.270 * [taylor]: Taking taylor expansion of y in y 0.270 * [taylor]: Taking taylor expansion of (* 2.0 (* x (+ x y))) in x 0.270 * [taylor]: Taking taylor expansion of 2.0 in x 0.270 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of (+ x y) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of y in x 0.270 * [taylor]: Taking taylor expansion of (* 2.0 (* x (+ x y))) in x 0.270 * [taylor]: Taking taylor expansion of 2.0 in x 0.270 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of (+ x y) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of y in x 0.271 * [taylor]: Taking taylor expansion of 0 in y 0.272 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.272 * [taylor]: Taking taylor expansion of 2.0 in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.273 * [taylor]: Taking taylor expansion of 2.0 in y 0.278 * [taylor]: Taking taylor expansion of 0 in y 0.280 * [taylor]: Taking taylor expansion of 0 in y 0.281 * [approximate]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.281 * [taylor]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 y) (/ 1 x)) x)) in y 0.281 * [taylor]: Taking taylor expansion of 2.0 in y 0.281 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.281 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.281 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.281 * [taylor]: Taking taylor expansion of y in y 0.281 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.281 * [taylor]: Taking taylor expansion of x in y 0.281 * [taylor]: Taking taylor expansion of x in y 0.282 * [taylor]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 y) (/ 1 x)) x)) in x 0.282 * [taylor]: Taking taylor expansion of 2.0 in x 0.282 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.282 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.282 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.282 * [taylor]: Taking taylor expansion of y in x 0.282 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [taylor]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 y) (/ 1 x)) x)) in x 0.282 * [taylor]: Taking taylor expansion of 2.0 in x 0.282 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.282 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.282 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.282 * [taylor]: Taking taylor expansion of y in x 0.282 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.284 * [taylor]: Taking taylor expansion of 2.0 in y 0.285 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.285 * [taylor]: Taking taylor expansion of 2.0 in y 0.285 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.285 * [taylor]: Taking taylor expansion of y in y 0.287 * [taylor]: Taking taylor expansion of 0 in y 0.290 * [taylor]: Taking taylor expansion of 0 in y 0.295 * [taylor]: Taking taylor expansion of 0 in y 0.295 * [approximate]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.295 * [taylor]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 y) (/ 1 x)) x)) in y 0.295 * [taylor]: Taking taylor expansion of 2.0 in y 0.295 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.295 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.295 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.295 * [taylor]: Taking taylor expansion of y in y 0.296 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.296 * [taylor]: Taking taylor expansion of x in y 0.296 * [taylor]: Taking taylor expansion of x in y 0.296 * [taylor]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 y) (/ 1 x)) x)) in x 0.296 * [taylor]: Taking taylor expansion of 2.0 in x 0.296 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.296 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.296 * [taylor]: Taking taylor expansion of y 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 x in x 0.297 * [taylor]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 y) (/ 1 x)) x)) in x 0.297 * [taylor]: Taking taylor expansion of 2.0 in x 0.297 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.297 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.297 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.297 * [taylor]: Taking taylor expansion of y in x 0.297 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.298 * [taylor]: Taking taylor expansion of 2.0 in y 0.299 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.299 * [taylor]: Taking taylor expansion of 2.0 in y 0.299 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.299 * [taylor]: Taking taylor expansion of y in y 0.301 * [taylor]: Taking taylor expansion of 0 in y 0.305 * [taylor]: Taking taylor expansion of 0 in y 0.309 * [taylor]: Taking taylor expansion of 0 in y 0.309 * * * [progress]: simplifying candidates 0.309 * [simplify]: Simplifying using # : (* (* 2.0 x) (+ x y)) (* (* 2.0 x) (+ x y)) (+ (+ (log 2.0) (log x)) (log (+ x y))) (+ (log (* 2.0 x)) (log (+ x y))) (log (* (* 2.0 x) (+ x y))) (exp (* (* 2.0 x) (+ x y))) (* (* (* (* 2.0 2.0) 2.0) (* (* x x) x)) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (* (* 2.0 x) (* 2.0 x)) (* 2.0 x)) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* (* 2.0 x) (+ x y))) (cbrt (* (* 2.0 x) (+ x y)))) (cbrt (* (* 2.0 x) (+ x y))) (* (* (* (* 2.0 x) (+ x y)) (* (* 2.0 x) (+ x y))) (* (* 2.0 x) (+ x y))) (sqrt (* (* 2.0 x) (+ x y))) (sqrt (* (* 2.0 x) (+ x y))) (* (* 2.0 x) x) (* (* 2.0 x) y) (* x (* 2.0 x)) (* y (* 2.0 x)) (* (* 2.0 x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (* 2.0 x) (sqrt (+ x y))) (* (* 2.0 x) 1) (* (* 2.0 x) 1) (* x (+ x y)) (* (* 2.0 x) (+ (pow x 3) (pow y 3))) (* (* 2.0 x) (- (* x x) (* y y))) (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) 0.310 * [simplify]: Sending expressions to egg_math: (* (* h0 h1) (+ h1 h2)) (* (* h0 h1) (+ h1 h2)) (+ (+ (log h0) (log h1)) (log (+ h1 h2))) (+ (log (* h0 h1)) (log (+ h1 h2))) (log (* (* h0 h1) (+ h1 h2))) (exp (* (* h0 h1) (+ h1 h2))) (* (* (* (* h0 h0) h0) (* (* h1 h1) h1)) (* (* (+ h1 h2) (+ h1 h2)) (+ h1 h2))) (* (* (* (* h0 h1) (* h0 h1)) (* h0 h1)) (* (* (+ h1 h2) (+ h1 h2)) (+ h1 h2))) (* (cbrt (* (* h0 h1) (+ h1 h2))) (cbrt (* (* h0 h1) (+ h1 h2)))) (cbrt (* (* h0 h1) (+ h1 h2))) (* (* (* (* h0 h1) (+ h1 h2)) (* (* h0 h1) (+ h1 h2))) (* (* h0 h1) (+ h1 h2))) (sqrt (* (* h0 h1) (+ h1 h2))) (sqrt (* (* h0 h1) (+ h1 h2))) (* (* h0 h1) h1) (* (* h0 h1) h2) (* h1 (* h0 h1)) (* h2 (* h0 h1)) (* (* h0 h1) (* (cbrt (+ h1 h2)) (cbrt (+ h1 h2)))) (* (* h0 h1) (sqrt (+ h1 h2))) (* (* h0 h1) 1) (* (* h0 h1) 1) (* h1 (+ h1 h2)) (* (* h0 h1) (+ (pow h1 3) (pow h2 3))) (* (* h0 h1) (- (* h1 h1) (* h2 h2))) (+ (* h0 (pow h1 2)) (* h0 (* h1 h2))) (+ (* h0 (pow h1 2)) (* h0 (* h1 h2))) (+ (* h0 (pow h1 2)) (* h0 (* h1 h2))) 0.313 * * [simplify]: iteration 0 : 166 enodes (cost 117 ) 0.317 * * [simplify]: iteration 1 : 915 enodes (cost 97 ) 0.340 * * [simplify]: iteration 2 : 5001 enodes (cost 97 ) 0.341 * [simplify]: Simplified to: (* (* 2.0 x) (+ x y)) (* (* 2.0 x) (+ x y)) (log (* (* 2.0 x) (+ x y))) (log (* (* 2.0 x) (+ x y))) (log (* (* 2.0 x) (+ x y))) (exp (* (* 2.0 x) (+ x y))) (pow (* (* 2.0 x) (+ x y)) 3) (pow (* (* 2.0 x) (+ x y)) 3) (* (cbrt (* (* 2.0 x) (+ x y))) (cbrt (* (* 2.0 x) (+ x y)))) (cbrt (* (* 2.0 x) (+ x y))) (pow (* (* 2.0 x) (+ x y)) 3) (sqrt (* (* 2.0 x) (+ x y))) (sqrt (* (* 2.0 x) (+ x y))) (* (* 2.0 x) x) (* 2.0 (* x y)) (* (* 2.0 x) x) (* 2.0 (* x y)) (* (* 2.0 x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (* 2.0 x) (sqrt (+ x y))) (* 2.0 x) (* 2.0 x) (* x (+ x y)) (* (* 2.0 x) (+ (pow x 3) (pow y 3))) (* (* 2.0 x) (- (* x x) (* y y))) (* (* 2.0 x) (+ x y)) (* (* 2.0 x) (+ x y)) (* (* 2.0 x) (+ x y)) 0.342 * * * [progress]: adding candidates to table 0.373 * [progress]: [Phase 3 of 3] Extracting. 0.373 * * [regime]: Finding splitpoints for: (# #) 0.373 * * * [regime-changes]: Trying 4 branch expressions: ((+ (* x x) (* x y)) (* 2.0 (+ (* x x) (* x y))) y x) 0.373 * * * * [regimes]: Trying to branch on (+ (* x x) (* x y)) from (# #) 0.384 * * * * [regimes]: Trying to branch on (* 2.0 (+ (* x x) (* x y))) from (# #) 0.395 * * * * [regimes]: Trying to branch on y from (# #) 0.406 * * * * [regimes]: Trying to branch on x from (# #) 0.419 * * * [regime]: Found split indices: #