26.038 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.073 * * * [progress]: [2/2] Setting up program. 0.075 * [progress]: [Phase 2 of 3] Improving. 0.075 * [simplify]: Simplifying using # : (* (+ x y) (+ x y)) 0.079 * * [simplify]: iteration 0 : 69 enodes (cost 7 ) 0.079 * * [simplify]: iteration 1 : 69 enodes (cost 7 ) 0.079 * [simplify]: Simplified to: (* (+ x y) (+ x y)) 0.079 * * [progress]: iteration 1 / 4 0.079 * * * [progress]: picking best candidate 0.081 * * * * [pick]: Picked # 0.081 * * * [progress]: localizing error 0.085 * * * [progress]: generating rewritten candidates 0.085 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.093 * * * [progress]: generating series expansions 0.093 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.094 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.094 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.094 * [taylor]: Taking taylor expansion of (+ x y) in y 0.094 * [taylor]: Taking taylor expansion of x in y 0.094 * [taylor]: Taking taylor expansion of y in y 0.094 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.094 * [taylor]: Taking taylor expansion of (+ x y) in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.094 * [taylor]: Taking taylor expansion of y in x 0.094 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.094 * [taylor]: Taking taylor expansion of (+ x y) in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.094 * [taylor]: Taking taylor expansion of y in x 0.094 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.094 * [taylor]: Taking taylor expansion of y in y 0.094 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.094 * [taylor]: Taking taylor expansion of 2 in y 0.094 * [taylor]: Taking taylor expansion of y in y 0.094 * [taylor]: Taking taylor expansion of 1 in y 0.094 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.095 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.095 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.095 * [taylor]: Taking taylor expansion of y in y 0.095 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.095 * [taylor]: Taking taylor expansion of x in y 0.095 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.095 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.095 * [taylor]: Taking taylor expansion of y in x 0.095 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.095 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.095 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.095 * [taylor]: Taking taylor expansion of y in x 0.095 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.095 * [taylor]: Taking taylor expansion of 1 in y 0.095 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.095 * [taylor]: Taking taylor expansion of 2 in y 0.095 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.095 * [taylor]: Taking taylor expansion of y in y 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.095 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.095 * [taylor]: Taking taylor expansion of y in y 0.096 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.096 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.096 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.096 * [taylor]: Taking taylor expansion of y in y 0.096 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.096 * [taylor]: Taking taylor expansion of x in y 0.096 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.096 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.096 * [taylor]: Taking taylor expansion of y in x 0.096 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.096 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.096 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.096 * [taylor]: Taking taylor expansion of y in x 0.096 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.096 * [taylor]: Taking taylor expansion of 1 in y 0.096 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.096 * [taylor]: Taking taylor expansion of 2 in y 0.096 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.096 * [taylor]: Taking taylor expansion of y in y 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.097 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.097 * [taylor]: Taking taylor expansion of y in y 0.097 * * * [progress]: simplifying candidates 0.098 * [simplify]: Simplifying using # : (+ 1 1) (* (+ x y) (+ x y)) (+ 1 1) (+ (log (+ x y)) (log (+ x y))) (log (* (+ x y) (+ x y))) (exp (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (* (+ x y) (+ x y))) (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)) (* (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (cbrt (+ x y)) (cbrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 2 1) (* (+ x y) x) (* (+ x y) y) (* x (+ x y)) (* y (+ x y)) (* (+ x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (+ x y) (sqrt (+ x y))) (* (+ x y) 1) (* (+ x y) 1) (* (cbrt (+ x y)) (+ x y)) (* (sqrt (+ x y)) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (+ x y) (- (* x x) (* y y))) (* (+ (pow x 3) (pow y 3)) (+ x y)) (* (- (* x x) (* y y)) (+ x y)) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.125 * * [simplify]: iteration 0 : 5592 enodes (cost 356 ) 0.127 * [simplify]: Simplified to: 2 (pow (cbrt (+ x y)) 6) 2 (* 2 (log (+ x y))) (* 2 (log (+ x y))) (exp (pow (cbrt (+ x y)) 6)) (pow (+ x y) 6) (* (cbrt (pow (cbrt (+ x y)) 6)) (cbrt (pow (cbrt (+ x y)) 6))) (cbrt (pow (cbrt (+ x y)) 6)) (pow (+ x y) 6) (fabs (+ x y)) (fabs (+ x y)) (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* x x) (* y (- y x))) (+ (* x x) (* y (- y x)))) (* (+ x y) (* (+ (pow x 3) (pow y 3)) (- x y))) (* (+ (* x x) (* y (- y x))) (- x y)) (* (+ x y) (* (+ (pow x 3) (pow y 3)) (- x y))) (* (+ (* x x) (* y (- y x))) (- x y)) (* (pow (cbrt (+ x y)) 6) (* (- x y) (- x y))) (* (- x y) (- x y)) (pow (cbrt (+ x y)) 4) (* (cbrt (+ x y)) (cbrt (+ x y))) (+ x y) (+ x y) 1 (pow (cbrt (+ x y)) 6) 1 (pow (cbrt (+ x y)) 6) 1 (pow (cbrt (+ x y)) 6) 1 (pow (cbrt (+ x y)) 6) (+ x y) (+ x y) 2 (* x (+ x y)) (* y (+ x y)) (* x (+ x y)) (* y (+ x y)) (pow (cbrt (+ x y)) 5) (pow (sqrt (+ x y)) 3) (+ x y) (+ x y) (pow (cbrt (+ x y)) 4) (pow (sqrt (+ x y)) 3) (pow (cbrt (+ x y)) 6) (pow (cbrt (+ x y)) 6) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (pow (cbrt (+ x y)) 6) (- x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (pow (cbrt (+ x y)) 6) (- x y)) (pow (cbrt (+ x y)) 6) (pow (cbrt (+ x y)) 6) (pow (cbrt (+ x y)) 6) 0.128 * * * [progress]: adding candidates to table 0.162 * * [progress]: iteration 2 / 4 0.162 * * * [progress]: picking best candidate 0.164 * * * * [pick]: Picked # 0.164 * * * [progress]: localizing error 0.169 * * * [progress]: generating rewritten candidates 0.170 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.176 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.181 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.190 * * * [progress]: generating series expansions 0.190 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.190 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 0.190 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 0.190 * [taylor]: Taking taylor expansion of x in y 0.190 * [taylor]: Taking taylor expansion of (+ x y) in y 0.190 * [taylor]: Taking taylor expansion of x in y 0.190 * [taylor]: Taking taylor expansion of y in y 0.190 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of (+ x y) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of y in x 0.190 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of (+ x y) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of y in x 0.191 * [taylor]: Taking taylor expansion of 0 in y 0.191 * [taylor]: Taking taylor expansion of y in y 0.191 * [taylor]: Taking taylor expansion of 1 in y 0.191 * [taylor]: Taking taylor expansion of 0 in y 0.191 * [taylor]: Taking taylor expansion of 0 in y 0.191 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.191 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.191 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.191 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.191 * [taylor]: Taking taylor expansion of y in y 0.191 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.191 * [taylor]: Taking taylor expansion of x in y 0.191 * [taylor]: Taking taylor expansion of x in y 0.191 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.191 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.191 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.191 * [taylor]: Taking taylor expansion of y in x 0.191 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.192 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.192 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.192 * [taylor]: Taking taylor expansion of y in x 0.192 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of 1 in y 0.192 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.192 * [taylor]: Taking taylor expansion of y in y 0.192 * [taylor]: Taking taylor expansion of 0 in y 0.192 * [taylor]: Taking taylor expansion of 0 in y 0.193 * [taylor]: Taking taylor expansion of 0 in y 0.193 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.193 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.193 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.193 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.193 * [taylor]: Taking taylor expansion of y in y 0.193 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.193 * [taylor]: Taking taylor expansion of x in y 0.193 * [taylor]: Taking taylor expansion of x in y 0.193 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.193 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.193 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.193 * [taylor]: Taking taylor expansion of y in x 0.193 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.193 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.193 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.193 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.193 * [taylor]: Taking taylor expansion of y in x 0.193 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.193 * [taylor]: Taking taylor expansion of 1 in y 0.193 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.194 * [taylor]: Taking taylor expansion of y in y 0.194 * [taylor]: Taking taylor expansion of 0 in y 0.194 * [taylor]: Taking taylor expansion of 0 in y 0.194 * [taylor]: Taking taylor expansion of 0 in y 0.194 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.195 * [approximate]: Taking taylor expansion of (* y (+ x y)) in (y x) around 0 0.195 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 0.195 * [taylor]: Taking taylor expansion of y in x 0.195 * [taylor]: Taking taylor expansion of (+ x y) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of y in x 0.195 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.195 * [taylor]: Taking taylor expansion of y in y 0.195 * [taylor]: Taking taylor expansion of (+ x y) in y 0.195 * [taylor]: Taking taylor expansion of x in y 0.195 * [taylor]: Taking taylor expansion of y in y 0.195 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.195 * [taylor]: Taking taylor expansion of y in y 0.195 * [taylor]: Taking taylor expansion of (+ x y) in y 0.195 * [taylor]: Taking taylor expansion of x in y 0.195 * [taylor]: Taking taylor expansion of y in y 0.195 * [taylor]: Taking taylor expansion of 0 in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of 1 in x 0.195 * [taylor]: Taking taylor expansion of 0 in x 0.195 * [taylor]: Taking taylor expansion of 0 in x 0.195 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.195 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.195 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.195 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.195 * [taylor]: Taking taylor expansion of y in x 0.195 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of y in x 0.196 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.196 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.196 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.196 * [taylor]: Taking taylor expansion of y in y 0.196 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.196 * [taylor]: Taking taylor expansion of x in y 0.196 * [taylor]: Taking taylor expansion of y in y 0.196 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.196 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.196 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.196 * [taylor]: Taking taylor expansion of y in y 0.196 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.196 * [taylor]: Taking taylor expansion of x in y 0.196 * [taylor]: Taking taylor expansion of y in y 0.196 * [taylor]: Taking taylor expansion of 1 in x 0.196 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [taylor]: Taking taylor expansion of 0 in x 0.196 * [taylor]: Taking taylor expansion of 0 in x 0.197 * [taylor]: Taking taylor expansion of 0 in x 0.197 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.197 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.197 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.197 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.197 * [taylor]: Taking taylor expansion of y in x 0.197 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.197 * [taylor]: Taking taylor expansion of y in x 0.197 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.197 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.197 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.197 * [taylor]: Taking taylor expansion of y in y 0.197 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.197 * [taylor]: Taking taylor expansion of x in y 0.197 * [taylor]: Taking taylor expansion of y in y 0.197 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.197 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.197 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.197 * [taylor]: Taking taylor expansion of y in y 0.197 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.197 * [taylor]: Taking taylor expansion of x in y 0.197 * [taylor]: Taking taylor expansion of y in y 0.198 * [taylor]: Taking taylor expansion of 1 in x 0.198 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.198 * [taylor]: Taking taylor expansion of 0 in x 0.198 * [taylor]: Taking taylor expansion of 0 in x 0.198 * [taylor]: Taking taylor expansion of 0 in x 0.199 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.199 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 0.199 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 0.199 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.199 * [taylor]: Taking taylor expansion of x in y 0.199 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 0.199 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.199 * [taylor]: Taking taylor expansion of y in y 0.199 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 0.199 * [taylor]: Taking taylor expansion of 2 in y 0.199 * [taylor]: Taking taylor expansion of (* x y) in y 0.199 * [taylor]: Taking taylor expansion of x in y 0.199 * [taylor]: Taking taylor expansion of y in y 0.199 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.199 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.199 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.199 * [taylor]: Taking taylor expansion of y in x 0.199 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.199 * [taylor]: Taking taylor expansion of 2 in x 0.199 * [taylor]: Taking taylor expansion of (* x y) in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [taylor]: Taking taylor expansion of y in x 0.199 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.199 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.199 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.199 * [taylor]: Taking taylor expansion of y in x 0.199 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.199 * [taylor]: Taking taylor expansion of 2 in x 0.199 * [taylor]: Taking taylor expansion of (* x y) in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [taylor]: Taking taylor expansion of y in x 0.199 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.199 * [taylor]: Taking taylor expansion of y in y 0.200 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.200 * [taylor]: Taking taylor expansion of 2 in y 0.200 * [taylor]: Taking taylor expansion of y in y 0.200 * [taylor]: Taking taylor expansion of 1 in y 0.202 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.202 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.202 * [taylor]: Taking taylor expansion of x in y 0.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.202 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.202 * [taylor]: Taking taylor expansion of y in y 0.202 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.202 * [taylor]: Taking taylor expansion of 2 in y 0.202 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.202 * [taylor]: Taking taylor expansion of (* x y) in y 0.202 * [taylor]: Taking taylor expansion of x in y 0.202 * [taylor]: Taking taylor expansion of y in y 0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.203 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.203 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.203 * [taylor]: Taking taylor expansion of y in x 0.203 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.203 * [taylor]: Taking taylor expansion of 2 in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.203 * [taylor]: Taking taylor expansion of (* x y) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.203 * [taylor]: Taking taylor expansion of y in x 0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.203 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.203 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.203 * [taylor]: Taking taylor expansion of y in x 0.203 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.203 * [taylor]: Taking taylor expansion of 2 in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.203 * [taylor]: Taking taylor expansion of (* x y) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.203 * [taylor]: Taking taylor expansion of y in x 0.203 * [taylor]: Taking taylor expansion of 1 in y 0.203 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.203 * [taylor]: Taking taylor expansion of 2 in y 0.203 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.203 * [taylor]: Taking taylor expansion of y in y 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.204 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.204 * [taylor]: Taking taylor expansion of y in y 0.204 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.204 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.204 * [taylor]: Taking taylor expansion of x in y 0.205 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.205 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.205 * [taylor]: Taking taylor expansion of y in y 0.205 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.205 * [taylor]: Taking taylor expansion of 2 in y 0.205 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.205 * [taylor]: Taking taylor expansion of (* x y) in y 0.205 * [taylor]: Taking taylor expansion of x in y 0.205 * [taylor]: Taking taylor expansion of y in y 0.205 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.205 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.205 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.205 * [taylor]: Taking taylor expansion of y in x 0.205 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.205 * [taylor]: Taking taylor expansion of 2 in x 0.205 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.205 * [taylor]: Taking taylor expansion of (* x y) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of y in x 0.205 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.205 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.205 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.205 * [taylor]: Taking taylor expansion of y in x 0.205 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.205 * [taylor]: Taking taylor expansion of 2 in x 0.205 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.205 * [taylor]: Taking taylor expansion of (* x y) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of y in x 0.206 * [taylor]: Taking taylor expansion of 1 in y 0.206 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.206 * [taylor]: Taking taylor expansion of 2 in y 0.206 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.206 * [taylor]: Taking taylor expansion of y in y 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.206 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.206 * [taylor]: Taking taylor expansion of y in y 0.206 * * * [progress]: simplifying candidates 0.207 * [simplify]: Simplifying using # : (* x (+ x y)) (+ (log x) (log (+ x y))) (log (* x (+ x y))) (exp (* x (+ x y))) (* (* (* x x) x) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* x (+ x y))) (cbrt (* x (+ x y)))) (cbrt (* x (+ x y))) (* (* (* x (+ x y)) (* x (+ x y))) (* x (+ x y))) (sqrt (* x (+ x y))) (sqrt (* x (+ x y))) (* (sqrt x) (sqrt (+ x y))) (* (sqrt x) (sqrt (+ x y))) (* x x) (* x y) (* x x) (* y x) (* x (* (cbrt (+ x y)) (cbrt (+ x y)))) (* x (sqrt (+ x y))) (* x 1) (* x 1) (* (cbrt x) (+ x y)) (* (sqrt x) (+ x y)) (* x (+ x y)) (* x (+ (pow x 3) (pow y 3))) (* x (- (* x x) (* y y))) (* y (+ x y)) (+ (log y) (log (+ x y))) (log (* y (+ x y))) (exp (* y (+ x y))) (* (* (* y y) y) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* y (+ x y))) (cbrt (* y (+ x y)))) (cbrt (* y (+ x y))) (* (* (* y (+ x y)) (* y (+ x y))) (* y (+ x y))) (sqrt (* y (+ x y))) (sqrt (* y (+ x y))) (* (sqrt y) (sqrt (+ x y))) (* (sqrt y) (sqrt (+ x y))) (* y x) (* y y) (* x y) (* y y) (* y (* (cbrt (+ x y)) (cbrt (+ x y)))) (* y (sqrt (+ x y))) (* y 1) (* y 1) (* (cbrt y) (+ x y)) (* (sqrt y) (+ x y)) (* y (+ x y)) (* y (+ (pow x 3) (pow y 3))) (* y (- (* x x) (* y y))) (* (exp (* x (+ x y))) (exp (* y (+ x y)))) (log (+ (* x (+ x y)) (* y (+ x y)))) (exp (+ (* x (+ x y)) (* y (+ x y)))) (* (cbrt (+ (* x (+ x y)) (* y (+ x y)))) (cbrt (+ (* x (+ x y)) (* y (+ x y))))) (cbrt (+ (* x (+ x y)) (* y (+ x y)))) (* (* (+ (* x (+ x y)) (* y (+ x y))) (+ (* x (+ x y)) (* y (+ x y)))) (+ (* x (+ x y)) (* y (+ x y)))) (sqrt (+ (* x (+ x y)) (* y (+ x y)))) (sqrt (+ (* x (+ x y)) (* y (+ x y)))) (+ (* (* x (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (- (* y y) (* x y))) (* y (+ (pow x 3) (pow y 3))))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* x (+ (pow x 3) (pow y 3))) (- x y)) (* (+ (* x x) (- (* y y) (* x y))) (* y (- (* x x) (* y y))))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (+ (* (* x (- (* x x) (* y y))) (+ (* x x) (- (* y y) (* x y)))) (* (- x y) (* y (+ (pow x 3) (pow y 3))))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* x (- (* x x) (* y y))) (- x y)) (* (- x y) (* y (- (* x x) (* y y))))) (* (- x y) (- x y)) (+ (pow (* x (+ x y)) 3) (pow (* y (+ x y)) 3)) (+ (* (* x (+ x y)) (* x (+ x y))) (- (* (* y (+ x y)) (* y (+ x y))) (* (* x (+ x y)) (* y (+ x y))))) (- (* (* x (+ x y)) (* x (+ x y))) (* (* y (+ x y)) (* y (+ x y)))) (- (* x (+ x y)) (* y (+ x y))) (+ x y) (+ (* x (+ x y)) (* y x)) (+ (* x (+ x y)) (* x y)) (+ (* x y) (* y (+ x y))) (+ (* y x) (* y (+ x y))) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.248 * * [simplify]: iteration 0 : 4841 enodes (cost 616 ) 0.248 * * [simplify]: iteration 1 : 4841 enodes (cost 616 ) 0.251 * [simplify]: Simplified to: (* x (+ x y)) (log (* x (+ x y))) (log (* x (+ x y))) (pow (exp x) (+ x y)) (pow (* x (+ x y)) 3) (* (cbrt (* x (+ x y))) (cbrt (* x (+ x y)))) (cbrt (* x (+ x y))) (pow (* x (+ x y)) 3) (sqrt (* x (+ x y))) (sqrt (* x (+ x y))) (* (sqrt x) (sqrt (+ x y))) (* (sqrt x) (sqrt (+ x y))) (* x x) (* x y) (* x x) (* x y) (* x (* (cbrt (+ x y)) (cbrt (+ x y)))) (* x (sqrt (+ x y))) x x (* (+ x y) (cbrt x)) (* (+ x y) (sqrt x)) (* x (+ x y)) (+ (pow x 4) (* x (pow y 3))) (- (pow x 3) (* x (* y y))) (* y (+ x y)) (log (* y (+ x y))) (log (* y (+ x y))) (pow (exp y) (+ x y)) (pow (* y (+ x y)) 3) (* (cbrt (* y (+ x y))) (cbrt (* y (+ x y)))) (cbrt (* y (+ x y))) (pow (* y (+ x y)) 3) (sqrt (* y (+ x y))) (sqrt (* y (+ x y))) (* (sqrt (+ x y)) (sqrt y)) (* (sqrt (+ x y)) (sqrt y)) (* x y) (* y y) (* x y) (* y y) (* y (* (cbrt (+ x y)) (cbrt (+ x y)))) (* y (sqrt (+ x y))) y y (* (+ x y) (cbrt y)) (* (+ x y) (sqrt y)) (* y (+ x y)) (+ (* y (pow x 3)) (pow y 4)) (- (* y (* x x)) (pow y 3)) (exp (pow (+ x y) 2)) (* 2 (log (+ x y))) (exp (pow (+ x y) 2)) (* (cbrt (pow (+ x y) 2)) (cbrt (pow (+ x y) 2))) (cbrt (pow (+ x y) 2)) (pow (+ x y) 6) (fabs (+ x y)) (fabs (+ x y)) (* (+ (pow x 3) (pow y 3)) (* (+ (* x x) (* y (- y x))) (+ x y))) (* (+ (* x x) (* y (- y x))) (+ (* x x) (* y (- y x)))) (* (- x y) (+ (+ (pow x 4) (* x (pow y 3))) (* (+ x y) (* y (+ (* x x) (* y (- y x))))))) (* (+ (* x x) (* y (- y x))) (- x y)) (+ (* x (* (+ x y) (* (+ (* x x) (* y (- y x))) (- x y)))) (* y (* (+ (pow x 3) (pow y 3)) (- x y)))) (* (+ (* x x) (* y (- y x))) (- x y)) (* (- x y) (* (pow (+ x y) 2) (- x y))) (* (- x y) (- x y)) (* (pow (+ x y) 3) (+ (pow x 3) (pow y 3))) (* (+ x y) (* (+ x y) (+ (* x x) (* y (- y x))))) (* (pow (+ x y) 3) (- x y)) (- (* x x) (* y y)) (+ x y) (* x (+ x (+ y y))) (* x (+ x (+ y y))) (* y (+ x (+ x y))) (* y (+ x (+ x y))) (* x (+ x y)) (* x (+ x y)) (* x (+ x y)) (* y (+ x y)) (* y (+ x y)) (* y (+ x y)) (pow (+ x y) 2) (pow (+ x y) 2) (pow (+ x y) 2) 0.251 * * * [progress]: adding candidates to table 0.312 * * [progress]: iteration 3 / 4 0.312 * * * [progress]: picking best candidate 0.314 * * * * [pick]: Picked # 0.314 * * * [progress]: localizing error 0.321 * * * [progress]: generating rewritten candidates 0.321 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.327 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.337 * * * [progress]: generating series expansions 0.337 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.337 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 0.337 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 0.337 * [taylor]: Taking taylor expansion of x in y 0.337 * [taylor]: Taking taylor expansion of (+ x y) in y 0.337 * [taylor]: Taking taylor expansion of x in y 0.337 * [taylor]: Taking taylor expansion of y in y 0.337 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.337 * [taylor]: Taking taylor expansion of x in x 0.337 * [taylor]: Taking taylor expansion of (+ x y) in x 0.337 * [taylor]: Taking taylor expansion of x in x 0.337 * [taylor]: Taking taylor expansion of y in x 0.337 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.337 * [taylor]: Taking taylor expansion of x in x 0.337 * [taylor]: Taking taylor expansion of (+ x y) in x 0.337 * [taylor]: Taking taylor expansion of x in x 0.337 * [taylor]: Taking taylor expansion of y in x 0.337 * [taylor]: Taking taylor expansion of 0 in y 0.338 * [taylor]: Taking taylor expansion of y in y 0.338 * [taylor]: Taking taylor expansion of 1 in y 0.338 * [taylor]: Taking taylor expansion of 0 in y 0.338 * [taylor]: Taking taylor expansion of 0 in y 0.338 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.338 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.338 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.338 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.338 * [taylor]: Taking taylor expansion of y in y 0.338 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.338 * [taylor]: Taking taylor expansion of x in y 0.338 * [taylor]: Taking taylor expansion of x in y 0.338 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.338 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.338 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.338 * [taylor]: Taking taylor expansion of y in x 0.338 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.338 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.338 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.338 * [taylor]: Taking taylor expansion of y in x 0.339 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of 1 in y 0.339 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.339 * [taylor]: Taking taylor expansion of y in y 0.339 * [taylor]: Taking taylor expansion of 0 in y 0.339 * [taylor]: Taking taylor expansion of 0 in y 0.339 * [taylor]: Taking taylor expansion of 0 in y 0.340 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.340 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.340 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.340 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.340 * [taylor]: Taking taylor expansion of y in y 0.340 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.340 * [taylor]: Taking taylor expansion of x in y 0.340 * [taylor]: Taking taylor expansion of x in y 0.340 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.340 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.340 * [taylor]: Taking taylor expansion of y in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.340 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.340 * [taylor]: Taking taylor expansion of y in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of 1 in y 0.340 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.340 * [taylor]: Taking taylor expansion of y in y 0.341 * [taylor]: Taking taylor expansion of 0 in y 0.341 * [taylor]: Taking taylor expansion of 0 in y 0.341 * [taylor]: Taking taylor expansion of 0 in y 0.342 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.342 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 0.342 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 0.342 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.342 * [taylor]: Taking taylor expansion of x in y 0.342 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 0.342 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.342 * [taylor]: Taking taylor expansion of y in y 0.342 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 0.342 * [taylor]: Taking taylor expansion of 2 in y 0.342 * [taylor]: Taking taylor expansion of (* x y) in y 0.342 * [taylor]: Taking taylor expansion of x in y 0.342 * [taylor]: Taking taylor expansion of y in y 0.342 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.342 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.342 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.342 * [taylor]: Taking taylor expansion of y in x 0.342 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.342 * [taylor]: Taking taylor expansion of 2 in x 0.342 * [taylor]: Taking taylor expansion of (* x y) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of y in x 0.342 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.342 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.342 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.342 * [taylor]: Taking taylor expansion of y in x 0.342 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.342 * [taylor]: Taking taylor expansion of 2 in x 0.342 * [taylor]: Taking taylor expansion of (* x y) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of y in x 0.343 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.343 * [taylor]: Taking taylor expansion of y in y 0.343 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.343 * [taylor]: Taking taylor expansion of 2 in y 0.343 * [taylor]: Taking taylor expansion of y in y 0.343 * [taylor]: Taking taylor expansion of 1 in y 0.344 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.344 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.344 * [taylor]: Taking taylor expansion of x in y 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.344 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.344 * [taylor]: Taking taylor expansion of y in y 0.344 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.344 * [taylor]: Taking taylor expansion of 2 in y 0.344 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.344 * [taylor]: Taking taylor expansion of (* x y) in y 0.344 * [taylor]: Taking taylor expansion of x in y 0.344 * [taylor]: Taking taylor expansion of y in y 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.344 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.344 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.344 * [taylor]: Taking taylor expansion of y in x 0.344 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.344 * [taylor]: Taking taylor expansion of 2 in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.344 * [taylor]: Taking taylor expansion of (* x y) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of y in x 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.344 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.344 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.344 * [taylor]: Taking taylor expansion of y in x 0.345 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.345 * [taylor]: Taking taylor expansion of 2 in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.345 * [taylor]: Taking taylor expansion of (* x y) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of y in x 0.345 * [taylor]: Taking taylor expansion of 1 in y 0.345 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.345 * [taylor]: Taking taylor expansion of 2 in y 0.345 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.345 * [taylor]: Taking taylor expansion of y in y 0.345 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.345 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.345 * [taylor]: Taking taylor expansion of y in y 0.346 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.346 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.346 * [taylor]: Taking taylor expansion of x in y 0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.346 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.346 * [taylor]: Taking taylor expansion of y in y 0.346 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.346 * [taylor]: Taking taylor expansion of 2 in y 0.346 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.346 * [taylor]: Taking taylor expansion of (* x y) in y 0.346 * [taylor]: Taking taylor expansion of x in y 0.346 * [taylor]: Taking taylor expansion of y in y 0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.346 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.346 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.346 * [taylor]: Taking taylor expansion of y in x 0.346 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.347 * [taylor]: Taking taylor expansion of 2 in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.347 * [taylor]: Taking taylor expansion of (* x y) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of y in x 0.347 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.347 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.347 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.347 * [taylor]: Taking taylor expansion of y in x 0.347 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.347 * [taylor]: Taking taylor expansion of 2 in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.347 * [taylor]: Taking taylor expansion of (* x y) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of y in x 0.347 * [taylor]: Taking taylor expansion of 1 in y 0.347 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.347 * [taylor]: Taking taylor expansion of 2 in y 0.347 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.347 * [taylor]: Taking taylor expansion of y in y 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.348 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.348 * [taylor]: Taking taylor expansion of y in y 0.348 * * * [progress]: simplifying candidates 0.349 * [simplify]: Simplifying using # : (* x (+ x y)) (+ (log x) (log (+ x y))) (log (* x (+ x y))) (exp (* x (+ x y))) (* (* (* x x) x) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* x (+ x y))) (cbrt (* x (+ x y)))) (cbrt (* x (+ x y))) (* (* (* x (+ x y)) (* x (+ x y))) (* x (+ x y))) (sqrt (* x (+ x y))) (sqrt (* x (+ x y))) (* (sqrt x) (sqrt (+ x y))) (* (sqrt x) (sqrt (+ x y))) (* x x) (* x y) (* x x) (* y x) (* x (* (cbrt (+ x y)) (cbrt (+ x y)))) (* x (sqrt (+ x y))) (* x 1) (* x 1) (* (cbrt x) (+ x y)) (* (sqrt x) (+ x y)) (* x (+ x y)) (* x (+ (pow x 3) (pow y 3))) (* x (- (* x x) (* y y))) (* (exp (* x (+ x y))) (* (exp (* x y)) (exp (* y y)))) (* (exp (* x (+ x y))) (exp (+ (* x y) (* y y)))) (log (+ (* x (+ x y)) (+ (* x y) (* y y)))) (exp (+ (* x (+ x y)) (+ (* x y) (* y y)))) (* (cbrt (+ (* x (+ x y)) (+ (* x y) (* y y)))) (cbrt (+ (* x (+ x y)) (+ (* x y) (* y y))))) (cbrt (+ (* x (+ x y)) (+ (* x y) (* y y)))) (* (* (+ (* x (+ x y)) (+ (* x y) (* y y))) (+ (* x (+ x y)) (+ (* x y) (* y y)))) (+ (* x (+ x y)) (+ (* x y) (* y y)))) (sqrt (+ (* x (+ x y)) (+ (* x y) (* y y)))) (sqrt (+ (* x (+ x y)) (+ (* x y) (* y y)))) (+ (* (* x (+ (pow x 3) (pow y 3))) (+ (* (* x y) (* x y)) (- (* (* y y) (* y y)) (* (* x y) (* y y))))) (* (+ (* x x) (- (* y y) (* x y))) (+ (pow (* x y) 3) (pow (* y y) 3)))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* (* x y) (* x y)) (- (* (* y y) (* y y)) (* (* x y) (* y y))))) (+ (* (* x (+ (pow x 3) (pow y 3))) (- (* x y) (* y y))) (* (+ (* x x) (- (* y y) (* x y))) (- (* (* x y) (* x y)) (* (* y y) (* y y))))) (* (+ (* x x) (- (* y y) (* x y))) (- (* x y) (* y y))) (+ (* (* x (- (* x x) (* y y))) (+ (* (* x y) (* x y)) (- (* (* y y) (* y y)) (* (* x y) (* y y))))) (* (- x y) (+ (pow (* x y) 3) (pow (* y y) 3)))) (* (- x y) (+ (* (* x y) (* x y)) (- (* (* y y) (* y y)) (* (* x y) (* y y))))) (+ (* (* x (- (* x x) (* y y))) (- (* x y) (* y y))) (* (- x y) (- (* (* x y) (* x y)) (* (* y y) (* y y))))) (* (- x y) (- (* x y) (* y y))) (+ (pow (* x (+ x y)) 3) (pow (+ (* x y) (* y y)) 3)) (+ (* (* x (+ x y)) (* x (+ x y))) (- (* (+ (* x y) (* y y)) (+ (* x y) (* y y))) (* (* x (+ x y)) (+ (* x y) (* y y))))) (- (* (* x (+ x y)) (* x (+ x y))) (* (+ (* x y) (* y y)) (+ (* x y) (* y y)))) (- (* x (+ x y)) (+ (* x y) (* y y))) (+ x y) (+ (* x (+ x y)) (* x y)) (+ (* x y) (+ (* x y) (* y y))) (+ (* y x) (+ (* x y) (* y y))) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.403 * * [simplify]: iteration 0 : 4912 enodes (cost 512 ) 0.403 * * [simplify]: iteration 1 : 4912 enodes (cost 512 ) 0.406 * [simplify]: Simplified to: (* x (+ x y)) (log (* x (+ x y))) (log (* x (+ x y))) (pow (exp x) (+ x y)) (pow (* x (+ x y)) 3) (* (cbrt (* x (+ x y))) (cbrt (* x (+ x y)))) (cbrt (* x (+ x y))) (pow (* x (+ x y)) 3) (sqrt (* x (+ x y))) (sqrt (* x (+ x y))) (* (sqrt x) (sqrt (+ x y))) (* (sqrt x) (sqrt (+ x y))) (* x x) (* x y) (* x x) (* x y) (* x (* (cbrt (+ x y)) (cbrt (+ x y)))) (* x (sqrt (+ x y))) x x (* (+ x y) (cbrt x)) (* (+ x y) (sqrt x)) (* x (+ x y)) (+ (* x (pow y 3)) (pow x 4)) (- (pow x 3) (* x (* y y))) (exp (pow (+ x y) 2)) (exp (pow (+ x y) 2)) (* 2 (log (+ x y))) (exp (pow (+ x y) 2)) (* (cbrt (pow (+ x y) 2)) (cbrt (pow (+ x y) 2))) (cbrt (pow (+ x y) 2)) (pow (+ x y) 6) (fabs (+ x y)) (fabs (+ x y)) (+ (* x (* (+ (pow x 3) (pow y 3)) (+ (pow y 4) (* (* x y) (* y (- x y)))))) (* (+ (* x x) (* y (- y x))) (+ (pow (* x y) 3) (pow y 6)))) (* (+ (pow y 4) (* (* x y) (* y (- x y)))) (+ (* x x) (* y (- y x)))) (* (* y (- x y)) (+ (+ (* x (pow y 3)) (pow x 4)) (* (* y (+ x y)) (+ (* x x) (* y (- y x)))))) (* y (* (+ (* x x) (* y (- y x))) (- x y))) (+ (* x (* (+ x y) (* (+ (pow y 4) (* (* x y) (* y (- x y)))) (- x y)))) (* (+ (pow (* x y) 3) (pow y 6)) (- x y))) (* (+ (pow y 4) (* (* x y) (* y (- x y)))) (- x y)) (* (* y (- x y)) (+ (- (pow x 3) (* x (* y y))) (* (* y (+ x y)) (- x y)))) (* y (* (- x y) (- x y))) (* (pow (+ x y) 3) (+ (pow x 3) (pow y 3))) (+ (* x (* x (pow (+ x y) 2))) (* (* y (pow (+ x y) 2)) (- y x))) (* (pow (+ x y) 2) (- (* x x) (* y y))) (- (* x x) (* y y)) (+ x y) (* x (+ x (+ y y))) (* y (+ x (+ x y))) (* y (+ x (+ x y))) (* x (+ x y)) (* x (+ x y)) (* x (+ x y)) (pow (+ x y) 2) (pow (+ x y) 2) (pow (+ x y) 2) 0.406 * * * [progress]: adding candidates to table 0.451 * [progress]: [Phase 3 of 3] Extracting. 0.453 * [simplify]: Simplifying using # : (+ (* x (+ x y)) (+ (* x y) (* y y))) 0.454 * * [simplify]: iteration 0 : 13 enodes (cost 13 ) 0.454 * * [simplify]: iteration 1 : 13 enodes (cost 13 ) 0.454 * [simplify]: Simplified to: (+ (* x (+ x y)) (+ (* x y) (* y y))) 0.897 * [regime-testing]: End program error score: 0.020335264170242777 0.964 * [regime-testing]: Target error score: 0.014849878075900953