5.154 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (+ (+ (* x x) y) y) 0.016 * * [simplify]: iteration 0 : 9 enodes (cost 3 ) 0.017 * * [simplify]: iteration 1 : 12 enodes (cost 3 ) 0.019 * * [simplify]: iteration 2 : 13 enodes (cost 3 ) 0.020 * * [simplify]: iteration 3 : 13 enodes (cost 3 ) 0.020 * [simplify]: Simplified to: (+ (+ (* x x) y) y) 0.020 * * [progress]: iteration 1 / 4 0.020 * * * [progress]: picking best candidate 0.021 * * * * [pick]: Picked # 0.021 * * * [progress]: localizing error 0.026 * * * [progress]: generating rewritten candidates 0.026 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.040 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.044 * * * [progress]: generating series expansions 0.044 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.044 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.044 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.044 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.044 * [taylor]: Taking taylor expansion of x in y 0.044 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.044 * [taylor]: Taking taylor expansion of 2 in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.044 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.044 * [taylor]: Taking taylor expansion of 2 in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.045 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.045 * [taylor]: Taking taylor expansion of 2 in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.045 * [taylor]: Taking taylor expansion of 2 in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [taylor]: Taking taylor expansion of 1 in y 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.050 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.050 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.050 * [taylor]: Taking taylor expansion of x in y 0.050 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.051 * [taylor]: Taking taylor expansion of 2 in y 0.051 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.051 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.051 * [taylor]: Taking taylor expansion of 2 in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.052 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.052 * [taylor]: Taking taylor expansion of 2 in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.052 * [taylor]: Taking taylor expansion of y in x 0.052 * [taylor]: Taking taylor expansion of 1 in y 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.055 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.055 * [taylor]: Taking taylor expansion of 2 in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.057 * [taylor]: Taking taylor expansion of 0 in y 0.060 * [taylor]: Taking taylor expansion of 0 in y 0.060 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.060 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.060 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.060 * [taylor]: Taking taylor expansion of x in y 0.060 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.061 * [taylor]: Taking taylor expansion of 2 in y 0.061 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.061 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.061 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.061 * [taylor]: Taking taylor expansion of 2 in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.061 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.062 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.062 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.062 * [taylor]: Taking taylor expansion of 2 in x 0.062 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.062 * [taylor]: Taking taylor expansion of y in x 0.062 * [taylor]: Taking taylor expansion of 1 in y 0.063 * [taylor]: Taking taylor expansion of 0 in y 0.065 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.065 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.065 * [taylor]: Taking taylor expansion of 2 in y 0.065 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.067 * [taylor]: Taking taylor expansion of 0 in y 0.071 * [taylor]: Taking taylor expansion of 0 in y 0.071 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.071 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.071 * [taylor]: Taking taylor expansion of (+ (pow x 2) 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 y in y 0.071 * [taylor]: Taking taylor expansion of (+ (pow x 2) 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 y in x 0.071 * [taylor]: Taking taylor expansion of (+ (pow x 2) 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 y in x 0.071 * [taylor]: Taking taylor expansion of y in y 0.072 * [taylor]: Taking taylor expansion of 0 in y 0.072 * [taylor]: Taking taylor expansion of 1 in y 0.073 * [taylor]: Taking taylor expansion of 0 in y 0.073 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.073 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.073 * [taylor]: Taking taylor expansion of x in y 0.073 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.074 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.074 * [taylor]: Taking taylor expansion of y in x 0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.074 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.075 * [taylor]: Taking taylor expansion of 1 in y 0.076 * [taylor]: Taking taylor expansion of 0 in y 0.078 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.078 * [taylor]: Taking taylor expansion of y in y 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.084 * [taylor]: Taking taylor expansion of 0 in y 0.084 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.084 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.084 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.085 * [taylor]: Taking taylor expansion of x in y 0.085 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.085 * [taylor]: Taking taylor expansion of y in y 0.085 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.085 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.085 * [taylor]: Taking taylor expansion of y in x 0.086 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.086 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.086 * [taylor]: Taking taylor expansion of y in x 0.086 * [taylor]: Taking taylor expansion of 1 in y 0.087 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.089 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.089 * [taylor]: Taking taylor expansion of y in y 0.091 * [taylor]: Taking taylor expansion of 0 in y 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.093 * * * [progress]: simplifying candidates 0.094 * [simplify]: Simplifying using # : (* (* (exp (* x x)) (exp y)) (exp y)) (* (exp (+ (* x x) y)) (exp y)) (log (+ (+ (* x x) y) y)) (exp (+ (+ (* x x) y) y)) (* (cbrt (+ (+ (* x x) y) y)) (cbrt (+ (+ (* x x) y) y))) (cbrt (+ (+ (* x x) y) y)) (* (* (+ (+ (* x x) y) y) (+ (+ (* x x) y) y)) (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (+ (pow (+ (* x x) y) 3) (pow y 3)) (+ (* (+ (* x x) y) (+ (* x x) y)) (- (* y y) (* (+ (* x x) y) y))) (- (* (+ (* x x) y) (+ (* x x) y)) (* y y)) (- (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ y y) (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x 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)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.097 * * [simplify]: iteration 0 : 136 enodes (cost 138 ) 0.100 * * [simplify]: iteration 1 : 511 enodes (cost 127 ) 0.108 * * [simplify]: iteration 2 : 1640 enodes (cost 121 ) 0.142 * * [simplify]: iteration 3 : 5002 enodes (cost 120 ) 0.143 * [simplify]: Simplified to: (exp (+ (+ (* x x) y) y)) (exp (+ (+ (* x x) y) y)) (log (+ (+ (* x x) y) y)) (exp (+ (+ (* x x) y) y)) (* (cbrt (+ (+ (* x x) y) y)) (cbrt (+ (+ (* x x) y) y))) (cbrt (+ (+ (* x x) y) y)) (pow (+ (+ (* x x) y) y) 3) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (+ (pow (+ (* x x) y) 3) (pow y 3)) (+ (* (+ (* x x) y) y) (pow x 4)) (* (pow x 2) (+ (+ (* x x) y) y)) (pow x 2) (+ (+ (* x x) y) y) (+ y y) (exp (+ (* x x) y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (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)) (+ (pow (* x x) 3) (pow y 3)) (- (* y y) (- (* (* x x) y) (pow x 4))) (+ (- (* y y)) (pow x 4)) (- (* x x) y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.143 * * * [progress]: adding candidates to table 0.193 * * [progress]: iteration 2 / 4 0.193 * * * [progress]: picking best candidate 0.195 * * * * [pick]: Picked # 0.195 * * * [progress]: localizing error 0.200 * * * [progress]: generating rewritten candidates 0.200 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.209 * * * [progress]: generating series expansions 0.209 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.209 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.209 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.209 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.209 * [taylor]: Taking taylor expansion of x in y 0.209 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.209 * [taylor]: Taking taylor expansion of 2 in y 0.209 * [taylor]: Taking taylor expansion of y in y 0.209 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.209 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.209 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.209 * [taylor]: Taking taylor expansion of 2 in x 0.209 * [taylor]: Taking taylor expansion of y in x 0.209 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.209 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.209 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.209 * [taylor]: Taking taylor expansion of 2 in x 0.209 * [taylor]: Taking taylor expansion of y in x 0.209 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.209 * [taylor]: Taking taylor expansion of 2 in y 0.209 * [taylor]: Taking taylor expansion of y in y 0.210 * [taylor]: Taking taylor expansion of 0 in y 0.212 * [taylor]: Taking taylor expansion of 1 in y 0.214 * [taylor]: Taking taylor expansion of 0 in y 0.215 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.215 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.215 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.215 * [taylor]: Taking taylor expansion of x in y 0.215 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.215 * [taylor]: Taking taylor expansion of 2 in y 0.215 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.215 * [taylor]: Taking taylor expansion of y in y 0.215 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.215 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.216 * [taylor]: Taking taylor expansion of 2 in x 0.216 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.216 * [taylor]: Taking taylor expansion of y in x 0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.216 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.217 * [taylor]: Taking taylor expansion of 2 in x 0.217 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.217 * [taylor]: Taking taylor expansion of y in x 0.217 * [taylor]: Taking taylor expansion of 1 in y 0.218 * [taylor]: Taking taylor expansion of 0 in y 0.219 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.219 * [taylor]: Taking taylor expansion of 2 in y 0.219 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.219 * [taylor]: Taking taylor expansion of y in y 0.222 * [taylor]: Taking taylor expansion of 0 in y 0.224 * [taylor]: Taking taylor expansion of 0 in y 0.225 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.225 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.225 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.225 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.225 * [taylor]: Taking taylor expansion of x in y 0.225 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.225 * [taylor]: Taking taylor expansion of 2 in y 0.225 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.225 * [taylor]: Taking taylor expansion of y in y 0.225 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.225 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.226 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.226 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.226 * [taylor]: Taking taylor expansion of 2 in x 0.226 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.226 * [taylor]: Taking taylor expansion of y in x 0.226 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.226 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.227 * [taylor]: Taking taylor expansion of 2 in x 0.227 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.227 * [taylor]: Taking taylor expansion of y in x 0.227 * [taylor]: Taking taylor expansion of 1 in y 0.228 * [taylor]: Taking taylor expansion of 0 in y 0.229 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.229 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.229 * [taylor]: Taking taylor expansion of 2 in y 0.229 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.229 * [taylor]: Taking taylor expansion of y in y 0.232 * [taylor]: Taking taylor expansion of 0 in y 0.236 * [taylor]: Taking taylor expansion of 0 in y 0.236 * * * [progress]: simplifying candidates 0.236 * [simplify]: Simplifying using # : (* (exp (* x x)) (* (exp y) (exp y))) (* (exp (* x x)) (exp (+ y y))) (log (+ (* x x) (+ y y))) (exp (+ (* x x) (+ y y))) (* (cbrt (+ (* x x) (+ y y))) (cbrt (+ (* x x) (+ y y)))) (cbrt (+ (* x x) (+ y y))) (* (* (+ (* x x) (+ y y)) (+ (* x x) (+ y y))) (+ (* x x) (+ y y))) (sqrt (+ (* x x) (+ y y))) (sqrt (+ (* x x) (+ y y))) (+ (pow (* x x) 3) (pow (+ y y) 3)) (+ (* (* x x) (* x x)) (- (* (+ y y) (+ y y)) (* (* x x) (+ y y)))) (- (* (* x x) (* x x)) (* (+ y y) (+ y y))) (- (* x x) (+ y y)) (+ (* x x) y) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) 0.239 * * [simplify]: iteration 0 : 103 enodes (cost 83 ) 0.242 * * [simplify]: iteration 1 : 468 enodes (cost 74 ) 0.252 * * [simplify]: iteration 2 : 1756 enodes (cost 74 ) 0.293 * * [simplify]: iteration 3 : 5002 enodes (cost 74 ) 0.294 * [simplify]: Simplified to: (exp (+ (* x x) (+ y y))) (exp (+ (* x x) (+ y y))) (log (+ (* x x) (+ y y))) (exp (+ (* x x) (+ y y))) (* (cbrt (+ (* x x) (+ y y))) (cbrt (+ (* x x) (+ y y)))) (cbrt (+ (* x x) (+ y y))) (pow (+ (* x x) (+ y y)) 3) (sqrt (+ (* x x) (+ y y))) (sqrt (+ (* x x) (+ y y))) (+ (pow (* x x) 3) (pow (+ y y) 3)) (- (* 4 (* y y)) (- (* (* x x) (+ y y)) (pow x 4))) (+ (- (* (+ y y) (+ y y))) (pow x 4)) (- (* x x) (+ y y)) (+ (* x x) y) (+ (* x x) (+ y y)) (+ (* x x) (+ y y)) (+ (* x x) (+ y y)) 0.294 * * * [progress]: adding candidates to table 0.320 * * [progress]: iteration 3 / 4 0.320 * * * [progress]: picking best candidate 0.321 * * * * [pick]: Picked # 0.321 * * * [progress]: localizing error 0.328 * * * [progress]: generating rewritten candidates 0.328 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.351 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.362 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 0.365 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.370 * * * [progress]: generating series expansions 0.371 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.371 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.371 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.371 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.371 * [taylor]: Taking taylor expansion of x in y 0.371 * [taylor]: Taking taylor expansion of y in y 0.371 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.371 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.371 * [taylor]: Taking taylor expansion of y in x 0.371 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.371 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.371 * [taylor]: Taking taylor expansion of y in x 0.371 * [taylor]: Taking taylor expansion of y in y 0.371 * [taylor]: Taking taylor expansion of 0 in y 0.372 * [taylor]: Taking taylor expansion of 1 in y 0.373 * [taylor]: Taking taylor expansion of 0 in y 0.373 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.373 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.373 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.373 * [taylor]: Taking taylor expansion of x in y 0.373 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.373 * [taylor]: Taking taylor expansion of y in y 0.374 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.374 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.374 * [taylor]: Taking taylor expansion of y in x 0.374 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.374 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.377 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.378 * [taylor]: Taking taylor expansion of y in x 0.378 * [taylor]: Taking taylor expansion of 1 in y 0.379 * [taylor]: Taking taylor expansion of 0 in y 0.380 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.380 * [taylor]: Taking taylor expansion of y in y 0.382 * [taylor]: Taking taylor expansion of 0 in y 0.383 * [taylor]: Taking taylor expansion of 0 in y 0.384 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.384 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.384 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.384 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.384 * [taylor]: Taking taylor expansion of x in y 0.384 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.384 * [taylor]: Taking taylor expansion of y in y 0.384 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.384 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.385 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.385 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.385 * [taylor]: Taking taylor expansion of y in x 0.385 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.385 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.386 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.386 * [taylor]: Taking taylor expansion of y in x 0.386 * [taylor]: Taking taylor expansion of 1 in y 0.387 * [taylor]: Taking taylor expansion of 0 in y 0.388 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.388 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.388 * [taylor]: Taking taylor expansion of y in y 0.390 * [taylor]: Taking taylor expansion of 0 in y 0.393 * [taylor]: Taking taylor expansion of 0 in y 0.393 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.393 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.393 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.393 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.393 * [taylor]: Taking taylor expansion of x in y 0.393 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.393 * [taylor]: Taking taylor expansion of 2 in y 0.393 * [taylor]: Taking taylor expansion of y in y 0.393 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.393 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.393 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.393 * [taylor]: Taking taylor expansion of 2 in x 0.393 * [taylor]: Taking taylor expansion of y in x 0.393 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.393 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.393 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.393 * [taylor]: Taking taylor expansion of 2 in x 0.393 * [taylor]: Taking taylor expansion of y in x 0.393 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.393 * [taylor]: Taking taylor expansion of 2 in y 0.393 * [taylor]: Taking taylor expansion of y in y 0.394 * [taylor]: Taking taylor expansion of 0 in y 0.396 * [taylor]: Taking taylor expansion of 1 in y 0.398 * [taylor]: Taking taylor expansion of 0 in y 0.399 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.399 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.399 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.399 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.399 * [taylor]: Taking taylor expansion of x in y 0.399 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.399 * [taylor]: Taking taylor expansion of 2 in y 0.399 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.399 * [taylor]: Taking taylor expansion of y in y 0.399 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.399 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.399 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.400 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.400 * [taylor]: Taking taylor expansion of 2 in x 0.400 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.400 * [taylor]: Taking taylor expansion of y in x 0.400 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) 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 (/ 1 y)) in x 0.400 * [taylor]: Taking taylor expansion of 2 in x 0.400 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.400 * [taylor]: Taking taylor expansion of y in x 0.401 * [taylor]: Taking taylor expansion of 1 in y 0.402 * [taylor]: Taking taylor expansion of 0 in y 0.403 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.403 * [taylor]: Taking taylor expansion of 2 in y 0.403 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.403 * [taylor]: Taking taylor expansion of y in y 0.405 * [taylor]: Taking taylor expansion of 0 in y 0.408 * [taylor]: Taking taylor expansion of 0 in y 0.409 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.409 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.409 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.409 * [taylor]: Taking taylor expansion of x in y 0.409 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.409 * [taylor]: Taking taylor expansion of 2 in y 0.409 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.409 * [taylor]: Taking taylor expansion of y in y 0.409 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.409 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.410 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.410 * [taylor]: Taking taylor expansion of 2 in x 0.410 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.410 * [taylor]: Taking taylor expansion of y in x 0.410 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.410 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.410 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.410 * [taylor]: Taking taylor expansion of 2 in x 0.410 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.410 * [taylor]: Taking taylor expansion of y in x 0.411 * [taylor]: Taking taylor expansion of 1 in y 0.412 * [taylor]: Taking taylor expansion of 0 in y 0.413 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.413 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.413 * [taylor]: Taking taylor expansion of 2 in y 0.413 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.413 * [taylor]: Taking taylor expansion of y in y 0.416 * [taylor]: Taking taylor expansion of 0 in y 0.420 * [taylor]: Taking taylor expansion of 0 in y 0.420 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 0.420 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.420 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.420 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.420 * [taylor]: Taking taylor expansion of x in y 0.420 * [taylor]: Taking taylor expansion of y in y 0.420 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.420 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.420 * [taylor]: Taking taylor expansion of y in x 0.420 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.420 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.420 * [taylor]: Taking taylor expansion of y in x 0.420 * [taylor]: Taking taylor expansion of y in y 0.421 * [taylor]: Taking taylor expansion of 0 in y 0.421 * [taylor]: Taking taylor expansion of 1 in y 0.422 * [taylor]: Taking taylor expansion of 0 in y 0.422 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.422 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.422 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.422 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.422 * [taylor]: Taking taylor expansion of x in y 0.422 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.422 * [taylor]: Taking taylor expansion of y in y 0.423 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.423 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.423 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.423 * [taylor]: Taking taylor expansion of y in x 0.423 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.423 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.423 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.424 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.424 * [taylor]: Taking taylor expansion of y in x 0.424 * [taylor]: Taking taylor expansion of 1 in y 0.425 * [taylor]: Taking taylor expansion of 0 in y 0.426 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.426 * [taylor]: Taking taylor expansion of y in y 0.428 * [taylor]: Taking taylor expansion of 0 in y 0.430 * [taylor]: Taking taylor expansion of 0 in y 0.430 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.430 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.430 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.430 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.430 * [taylor]: Taking taylor expansion of x in y 0.430 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.430 * [taylor]: Taking taylor expansion of y in y 0.431 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.431 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.431 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.431 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.431 * [taylor]: Taking taylor expansion of y in x 0.431 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.431 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.431 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.432 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.432 * [taylor]: Taking taylor expansion of y in x 0.432 * [taylor]: Taking taylor expansion of 1 in y 0.433 * [taylor]: Taking taylor expansion of 0 in y 0.434 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.434 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.434 * [taylor]: Taking taylor expansion of y in y 0.436 * [taylor]: Taking taylor expansion of 0 in y 0.439 * [taylor]: Taking taylor expansion of 0 in y 0.439 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.439 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.439 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.439 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.439 * [taylor]: Taking taylor expansion of x in y 0.439 * [taylor]: Taking taylor expansion of y in y 0.439 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.439 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.439 * [taylor]: Taking taylor expansion of x in x 0.439 * [taylor]: Taking taylor expansion of y in x 0.439 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.439 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.439 * [taylor]: Taking taylor expansion of x in x 0.439 * [taylor]: Taking taylor expansion of y in x 0.439 * [taylor]: Taking taylor expansion of y in y 0.439 * [taylor]: Taking taylor expansion of 0 in y 0.440 * [taylor]: Taking taylor expansion of 1 in y 0.441 * [taylor]: Taking taylor expansion of 0 in y 0.441 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.441 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.441 * [taylor]: Taking taylor expansion of x in y 0.441 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.441 * [taylor]: Taking taylor expansion of y in y 0.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.441 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.442 * [taylor]: Taking taylor expansion of y in x 0.442 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.442 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.443 * [taylor]: Taking taylor expansion of y in x 0.443 * [taylor]: Taking taylor expansion of 1 in y 0.444 * [taylor]: Taking taylor expansion of 0 in y 0.445 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.445 * [taylor]: Taking taylor expansion of y in y 0.447 * [taylor]: Taking taylor expansion of 0 in y 0.448 * [taylor]: Taking taylor expansion of 0 in y 0.449 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.449 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.449 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.449 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.449 * [taylor]: Taking taylor expansion of x in y 0.449 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.449 * [taylor]: Taking taylor expansion of y in y 0.449 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.449 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.449 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.450 * [taylor]: Taking taylor expansion of y in x 0.450 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.450 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.450 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.451 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.451 * [taylor]: Taking taylor expansion of y in x 0.451 * [taylor]: Taking taylor expansion of 1 in y 0.452 * [taylor]: Taking taylor expansion of 0 in y 0.453 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.453 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.453 * [taylor]: Taking taylor expansion of y in y 0.455 * [taylor]: Taking taylor expansion of 0 in y 0.457 * [taylor]: Taking taylor expansion of 0 in y 0.458 * * * [progress]: simplifying candidates 0.459 * [simplify]: Simplifying using # : (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (* x x) y) (+ (* x x) y)) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (+ (* x x) y) (+ (* x x) y)) (+ 1 1) (+ (log (sqrt (+ (* x x) y))) (log (sqrt (+ (* x x) y)))) (log (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (exp (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (* (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y)))) (* (cbrt (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (cbrt (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))))) (cbrt (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (* (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (* (+ (* x x) y) (+ (* x x) y)) (sqrt (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (sqrt (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (* (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (pow (* x x) 3) (pow y 3)))) (* (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (* (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (- (* (* x x) (* x x)) (* y y)))) (* (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* x x) y))) (* (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (+ (pow (* x x) 3) (pow y 3)))) (* (sqrt (- (* x x) y)) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (* (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* (* x x) (* x x)) (* y y)))) (* (sqrt (- (* x x) y)) (sqrt (- (* x x) y))) (* (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (* (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))))) (* (sqrt (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* 1 1) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (+ (* x x) y)) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))) (* (sqrt (+ (* x x) y)) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))))) (* (sqrt (+ (* x x) y)) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (+ (* x x) y)) (sqrt 1)) (* (sqrt (+ (* x x) y)) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (+ (* x x) y)) 1) (* (cbrt (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (* (sqrt (cbrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3)))) (* (sqrt (+ (* x x) y)) (sqrt (- (* (* x x) (* x x)) (* y y)))) (* (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* x x) y))) (* (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (+ (* x x) y))) (* (exp (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (exp y)) (log (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y)) (exp (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y)) (* (cbrt (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y)) (cbrt (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y))) (cbrt (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y)) (* (* (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y) (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y)) (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y)) (sqrt (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y)) (sqrt (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y)) (+ (pow (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) 3) (pow y 3)) (+ (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (- (* y y) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y))) (- (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (* y y)) (- (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y) (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x 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)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x 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)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.467 * * [simplify]: iteration 0 : 227 enodes (cost 600 ) 0.472 * * [simplify]: iteration 1 : 903 enodes (cost 514 ) 0.497 * * [simplify]: iteration 2 : 5002 enodes (cost 498 ) 0.499 * [simplify]: Simplified to: 1 1 2 1 1 (pow (sqrt (+ (* x x) y)) 4) (+ (* x x) y) (pow 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y)) (* (exp y) (exp (+ (* x x) y))) (* (cbrt (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y)) (cbrt (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y))) (cbrt (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y)) (pow (+ y (+ (* x x) y)) 3) (sqrt (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y)) (sqrt (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y)) (+ (pow y 3) (* (pow (+ (* x x) y) 3/2) (pow (+ (* x x) y) 3/2))) (+ (* y y) (- (pow (sqrt (+ (* x x) y)) 4) (* y (+ (* x x) y)))) (* (+ (pow x 2) (- y y)) (+ y (+ (* x x) y))) (+ (pow x 2) 0) (exp (+ (* x x) y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (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)) (+ (pow (* x x) 3) (pow y 3)) (- (* y y) (- (* (* x x) y) (pow x 4))) (+ (- (* y y)) (pow x 4)) (- (* x x) y) (exp (+ (* x x) y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (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)) (+ (pow (* x x) 3) (pow y 3)) (- (* y y) (- (* (* x x) y) (pow x 4))) (+ (- (* y y)) (pow x 4)) (- (* x x) y) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) (+ y (+ (* x x) y)) (+ y (+ (* x x) y)) (+ y (+ (* x x) y)) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) 0.500 * * * [progress]: adding candidates to table 0.659 * [progress]: [Phase 3 of 3] Extracting. 0.659 * * [regime]: Finding splitpoints for: (# #) 0.659 * * * [regime-changes]: Trying 3 branch expressions: ((* x x) y x) 0.659 * * * * [regimes]: Trying to branch on (* x x) from (# #) 0.669 * * * * [regimes]: Trying to branch on y from (# #) 0.680 * * * * [regimes]: Trying to branch on x from (# #) 0.690 * * * [regime]: Found split indices: #