9.785 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying using # : (* (+ x y) (+ x y)) 0.020 * * [simplify]: iteration 0 : 11 enodes (cost 3 ) 0.023 * * [simplify]: iteration 1 : 27 enodes (cost 3 ) 0.025 * * [simplify]: iteration 2 : 66 enodes (cost 3 ) 0.028 * * [simplify]: iteration 3 : 113 enodes (cost 3 ) 0.031 * * [simplify]: iteration 4 : 145 enodes (cost 3 ) 0.034 * * [simplify]: iteration 5 : 165 enodes (cost 3 ) 0.037 * * [simplify]: iteration 6 : 182 enodes (cost 3 ) 0.041 * * [simplify]: iteration 7 : 184 enodes (cost 3 ) 0.044 * * [simplify]: iteration 8 : 184 enodes (cost 3 ) 0.044 * [simplify]: Simplified to: (* (+ x y) (+ x y)) 0.045 * * [progress]: iteration 1 / 4 0.045 * * * [progress]: picking best candidate 0.046 * * * * [pick]: Picked # 0.046 * * * [progress]: localizing error 0.050 * * * [progress]: generating rewritten candidates 0.050 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.060 * * * [progress]: generating series expansions 0.060 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.060 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.060 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.060 * [taylor]: Taking taylor expansion of (+ x y) in y 0.060 * [taylor]: Taking taylor expansion of x in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.060 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.060 * [taylor]: Taking taylor expansion of (+ x y) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of y in x 0.060 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.060 * [taylor]: Taking taylor expansion of (+ x y) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of y in x 0.061 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.061 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.061 * [taylor]: Taking taylor expansion of 2 in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.062 * [taylor]: Taking taylor expansion of 1 in y 0.063 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.063 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.063 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.063 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.064 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.064 * [taylor]: Taking taylor expansion of x in y 0.064 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.065 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.065 * [taylor]: Taking taylor expansion of y in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of 1 in y 0.066 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.067 * [taylor]: Taking taylor expansion of 2 in y 0.067 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.067 * [taylor]: Taking taylor expansion of y in y 0.069 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.069 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.069 * [taylor]: Taking taylor expansion of y in y 0.071 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.071 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.071 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.071 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.071 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.071 * [taylor]: Taking taylor expansion of x in y 0.072 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.072 * [taylor]: Taking taylor expansion of y in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.072 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.072 * [taylor]: Taking taylor expansion of y in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of 1 in y 0.074 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.074 * [taylor]: Taking taylor expansion of 2 in y 0.074 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.079 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.079 * [taylor]: Taking taylor expansion of y in y 0.081 * * * [progress]: simplifying candidates 0.082 * [simplify]: Simplifying using # : (expm1 (* (+ x y) (+ x y))) (log1p (* (+ x y) (+ x y))) (+ 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)))) 0.086 * * [simplify]: iteration 0 : 194 enodes (cost 221 ) 0.093 * * [simplify]: iteration 1 : 953 enodes (cost 194 ) 0.123 * * [simplify]: iteration 2 : 5002 enodes (cost 180 ) 0.125 * [simplify]: Simplified to: (expm1 (* (+ x y) (+ x y))) (log1p (* (+ x y) (+ x y))) 2 (* (+ x y) (+ x y)) 2 (* 2 (log (+ x y))) (* 2 (log (+ x y))) (exp (* (+ x y) (+ x y))) (pow (+ x y) 6) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (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 y))) (+ (* x x) (- (* y y) (* x y)))) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (fma y (- y x) (pow x 2)) (+ x (- y))) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (fma y (- y x) (pow x 2)) (+ x (- y))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)) (pow (cbrt (+ x y)) 4) (* (cbrt (+ x y)) (cbrt (+ x y))) (+ x y) (+ x y) 1 (* (+ x y) (+ x y)) 1 (* (+ x y) (+ x y)) 1 (* (+ x y) (+ x y)) 1 (* (+ x y) (+ x y)) (+ x y) (+ x y) 2 (* x (+ x y)) (* y (+ x y)) (* x (+ x y)) (* y (+ x y)) (* (pow (cbrt (+ x y)) 4) (cbrt (+ x y))) (pow (sqrt (+ x y)) 3) (+ x y) (+ x y) (pow (cbrt (+ x y)) 4) (pow (sqrt (+ x y)) 3) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (- (* x x) (* y y)) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (- (* x x) (* y y)) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) 0.126 * * * [progress]: adding candidates to table 0.175 * * [progress]: iteration 2 / 4 0.175 * * * [progress]: picking best candidate 0.179 * * * * [pick]: Picked # 0.179 * * * [progress]: localizing error 0.185 * * * [progress]: generating rewritten candidates 0.185 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.191 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.201 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.210 * * * [progress]: generating series expansions 0.210 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.210 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 0.210 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 0.210 * [taylor]: Taking taylor expansion of x in y 0.210 * [taylor]: Taking taylor expansion of (+ x y) in y 0.210 * [taylor]: Taking taylor expansion of x in y 0.210 * [taylor]: Taking taylor expansion of y in y 0.210 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of (+ x y) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of y in x 0.210 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of (+ x y) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of y in x 0.211 * [taylor]: Taking taylor expansion of 0 in y 0.211 * [taylor]: Taking taylor expansion of y in y 0.212 * [taylor]: Taking taylor expansion of 1 in y 0.214 * [taylor]: Taking taylor expansion of 0 in y 0.215 * [taylor]: Taking taylor expansion of 0 in y 0.215 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.215 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.215 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.215 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.215 * [taylor]: Taking taylor expansion of y in y 0.216 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.216 * [taylor]: Taking taylor expansion of x in y 0.216 * [taylor]: Taking taylor expansion of x in y 0.216 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) 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 x) in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.217 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) 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 x) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.218 * [taylor]: Taking taylor expansion of 1 in y 0.219 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.219 * [taylor]: Taking taylor expansion of y in y 0.221 * [taylor]: Taking taylor expansion of 0 in y 0.224 * [taylor]: Taking taylor expansion of 0 in y 0.227 * [taylor]: Taking taylor expansion of 0 in y 0.227 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.227 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.227 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.227 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.227 * [taylor]: Taking taylor expansion of y in y 0.228 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.228 * [taylor]: Taking taylor expansion of x in y 0.228 * [taylor]: Taking taylor expansion of x in y 0.228 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.228 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.228 * [taylor]: Taking taylor expansion of y in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.229 * [taylor]: Taking taylor expansion of x in x 0.229 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.229 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.229 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.229 * [taylor]: Taking taylor expansion of y in x 0.229 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.229 * [taylor]: Taking taylor expansion of x in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.230 * [taylor]: Taking taylor expansion of 1 in y 0.231 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.231 * [taylor]: Taking taylor expansion of y in y 0.233 * [taylor]: Taking taylor expansion of 0 in y 0.236 * [taylor]: Taking taylor expansion of 0 in y 0.239 * [taylor]: Taking taylor expansion of 0 in y 0.239 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.239 * [approximate]: Taking taylor expansion of (* y (+ x y)) in (y x) around 0 0.239 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 0.239 * [taylor]: Taking taylor expansion of y in x 0.239 * [taylor]: Taking taylor expansion of (+ x y) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of y in x 0.240 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.240 * [taylor]: Taking taylor expansion of y in y 0.240 * [taylor]: Taking taylor expansion of (+ x y) in y 0.240 * [taylor]: Taking taylor expansion of x in y 0.240 * [taylor]: Taking taylor expansion of y in y 0.240 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.240 * [taylor]: Taking taylor expansion of y in y 0.240 * [taylor]: Taking taylor expansion of (+ x y) in y 0.240 * [taylor]: Taking taylor expansion of x in y 0.240 * [taylor]: Taking taylor expansion of y in y 0.240 * [taylor]: Taking taylor expansion of 0 in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.241 * [taylor]: Taking taylor expansion of 1 in x 0.242 * [taylor]: Taking taylor expansion of 0 in x 0.244 * [taylor]: Taking taylor expansion of 0 in x 0.244 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.244 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.244 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.244 * [taylor]: Taking taylor expansion of y in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of y in x 0.245 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.245 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.245 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.245 * [taylor]: Taking taylor expansion of y in y 0.245 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.245 * [taylor]: Taking taylor expansion of x in y 0.245 * [taylor]: Taking taylor expansion of y in y 0.246 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.246 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.246 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.246 * [taylor]: Taking taylor expansion of y in y 0.246 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.246 * [taylor]: Taking taylor expansion of x in y 0.246 * [taylor]: Taking taylor expansion of y in y 0.247 * [taylor]: Taking taylor expansion of 1 in x 0.248 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.250 * [taylor]: Taking taylor expansion of 0 in x 0.253 * [taylor]: Taking taylor expansion of 0 in x 0.256 * [taylor]: Taking taylor expansion of 0 in x 0.256 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.256 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.256 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.256 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.256 * [taylor]: Taking taylor expansion of y in x 0.256 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.257 * [taylor]: Taking taylor expansion of y in x 0.257 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.257 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.257 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.257 * [taylor]: Taking taylor expansion of y in y 0.258 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.258 * [taylor]: Taking taylor expansion of x in y 0.258 * [taylor]: Taking taylor expansion of y in y 0.258 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.258 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.258 * [taylor]: Taking taylor expansion of y in y 0.259 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.259 * [taylor]: Taking taylor expansion of x in y 0.259 * [taylor]: Taking taylor expansion of y in y 0.259 * [taylor]: Taking taylor expansion of 1 in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.262 * [taylor]: Taking taylor expansion of 0 in x 0.265 * [taylor]: Taking taylor expansion of 0 in x 0.268 * [taylor]: Taking taylor expansion of 0 in x 0.268 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.269 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 0.269 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 0.269 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.269 * [taylor]: Taking taylor expansion of x in y 0.269 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 0.269 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.269 * [taylor]: Taking taylor expansion of y in y 0.269 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 0.269 * [taylor]: Taking taylor expansion of 2 in y 0.269 * [taylor]: Taking taylor expansion of (* x y) in y 0.269 * [taylor]: Taking taylor expansion of x in y 0.269 * [taylor]: Taking taylor expansion of y in y 0.269 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.269 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.269 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.269 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.269 * [taylor]: Taking taylor expansion of y in x 0.269 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.269 * [taylor]: Taking taylor expansion of 2 in x 0.269 * [taylor]: Taking taylor expansion of (* x y) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.269 * [taylor]: Taking taylor expansion of y in x 0.269 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.269 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.269 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.269 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.269 * [taylor]: Taking taylor expansion of y in x 0.269 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.269 * [taylor]: Taking taylor expansion of 2 in x 0.269 * [taylor]: Taking taylor expansion of (* x y) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.269 * [taylor]: Taking taylor expansion of y in x 0.270 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.270 * [taylor]: Taking taylor expansion of y in y 0.271 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.271 * [taylor]: Taking taylor expansion of 2 in y 0.271 * [taylor]: Taking taylor expansion of y in y 0.273 * [taylor]: Taking taylor expansion of 1 in y 0.275 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.275 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.275 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.275 * [taylor]: Taking taylor expansion of x in y 0.275 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.275 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.275 * [taylor]: Taking taylor expansion of y in y 0.276 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.276 * [taylor]: Taking taylor expansion of 2 in y 0.276 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.276 * [taylor]: Taking taylor expansion of (* x y) in y 0.276 * [taylor]: Taking taylor expansion of x in y 0.276 * [taylor]: Taking taylor expansion of y in y 0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.276 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.277 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.277 * [taylor]: Taking taylor expansion of y in x 0.277 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.277 * [taylor]: Taking taylor expansion of 2 in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.277 * [taylor]: Taking taylor expansion of (* x y) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of y in x 0.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.278 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.278 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.278 * [taylor]: Taking taylor expansion of y in x 0.278 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.278 * [taylor]: Taking taylor expansion of 2 in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.278 * [taylor]: Taking taylor expansion of (* x y) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of y in x 0.279 * [taylor]: Taking taylor expansion of 1 in y 0.280 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.280 * [taylor]: Taking taylor expansion of 2 in y 0.280 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.280 * [taylor]: Taking taylor expansion of y in y 0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.283 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.283 * [taylor]: Taking taylor expansion of y in y 0.284 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.285 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.285 * [taylor]: Taking taylor expansion of x in y 0.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.285 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.285 * [taylor]: Taking taylor expansion of y in y 0.286 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.286 * [taylor]: Taking taylor expansion of 2 in y 0.286 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.286 * [taylor]: Taking taylor expansion of (* x y) in y 0.286 * [taylor]: Taking taylor expansion of x in y 0.286 * [taylor]: Taking taylor expansion of y in y 0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.286 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.287 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.287 * [taylor]: Taking taylor expansion of y in x 0.287 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.287 * [taylor]: Taking taylor expansion of 2 in x 0.287 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.287 * [taylor]: Taking taylor expansion of (* x y) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of y in x 0.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.287 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.288 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.288 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.288 * [taylor]: Taking taylor expansion of y in x 0.288 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.288 * [taylor]: Taking taylor expansion of 2 in x 0.288 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.288 * [taylor]: Taking taylor expansion of (* x y) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.288 * [taylor]: Taking taylor expansion of y in x 0.289 * [taylor]: Taking taylor expansion of 1 in y 0.290 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.290 * [taylor]: Taking taylor expansion of 2 in y 0.290 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.290 * [taylor]: Taking taylor expansion of y in y 0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.296 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.296 * [taylor]: Taking taylor expansion of y in y 0.298 * * * [progress]: simplifying candidates 0.299 * [simplify]: Simplifying using # : (expm1 (* x (+ x y))) (log1p (* x (+ x y))) (* 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))) (expm1 (* y (+ x y))) (log1p (* y (+ x 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))) (expm1 (+ (* x (+ x y)) (* y (+ x y)))) (log1p (+ (* x (+ x y)) (* y (+ x 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)))) 0.305 * * [simplify]: iteration 0 : 371 enodes (cost 403 ) 0.318 * * [simplify]: iteration 1 : 2121 enodes (cost 342 ) 0.372 * * [simplify]: iteration 2 : 5001 enodes (cost 336 ) 0.376 * [simplify]: Simplified to: (expm1 (* x (+ x y))) (log1p (* x (+ x y))) (* x (+ x y)) (log (* x (+ x y))) (log (* x (+ x y))) (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))) (pow x 2) (* x y) (pow x 2) (* x y) (* x (* (cbrt (+ x y)) (cbrt (+ x y)))) (* x (sqrt (+ x y))) x x (* (cbrt x) (+ x y)) (* (sqrt x) (+ x y)) (* x (+ x y)) (fma (pow y 3) x (pow x 4)) (* x (- (* x x) (* y y))) (expm1 (* y (+ x y))) (log1p (* y (+ x y))) (* y (+ x y)) (log (* y (+ x y))) (log (* y (+ x y))) (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 y) (sqrt (+ x y))) (* (sqrt y) (sqrt (+ x y))) (* x y) (pow y 2) (* x y) (pow y 2) (* y (* (cbrt (+ x y)) (cbrt (+ x y)))) (* y (sqrt (+ x y))) y y (* (cbrt y) (+ x y)) (* (sqrt y) (+ x y)) (* y (+ x y)) (fma (pow x 3) y (pow y 4)) (* y (- (* x x) (* y y))) (expm1 (+ (* x (+ x y)) (* y (+ x y)))) (log1p (+ (* x (+ x y)) (* y (+ x y)))) (exp (* (+ x y) (+ x y))) (+ (log (+ x y)) (log (+ x y))) (exp (* (+ x y) (+ x y))) (* (cbrt (+ (* x (+ x y)) (* y (+ x y)))) (cbrt (+ (* x (+ x y)) (* y (+ x y))))) (cbrt (+ (* x (+ x y)) (* y (+ x y)))) (pow (+ x y) 6) (fabs (+ x y)) (fabs (+ x y)) (* (fma x x (* y (- y x))) (+ (* x (+ (pow x 3) (pow y 3))) (* y (+ (pow x 3) (pow y 3))))) (* (fma x x (* y (- y x))) (+ (pow x 2) (* y (- y x)))) (fma (fma x x (* y (- y x))) (* y (- (* x x) (* y y))) (* (* x (+ (pow x 3) (pow y 3))) (- x y))) (* (- x y) (+ (pow x 2) (* y (- y x)))) (fma (fma x x (* y (- y x))) (* x (- (* x x) (* y y))) (* (- x y) (* y (+ (pow x 3) (pow y 3))))) (* (- x y) (+ (pow x 2) (* y (- y x)))) (* (- x y) (+ (* x (- (* x x) (* y y))) (* y (- (* x x) (* y y))))) (* (- x y) (- x y)) (* (pow (+ x y) 3) (+ (pow x 3) (pow y 3))) (fma x (* x (* (+ x y) (+ x y))) (* (* (+ x y) (* y (+ x y))) (- y x))) (* (pow (+ x y) 3) (- x y)) (- (* x x) (* y y)) (+ x y) (fma x (+ x y) (* x y)) (fma x (+ x y) (* x y)) (fma y x (* y (+ x y))) (fma y x (* y (+ x y))) (* x (+ x y)) (* x (+ x y)) (* x (+ x y)) (* y (+ x y)) (* y (+ x y)) (* y (+ x y)) (fma x x (fma (* 2 x) y (pow y 2))) (fma x x (fma (* 2 x) y (pow y 2))) (fma x x (fma (* 2 x) y (pow y 2))) 0.376 * * * [progress]: adding candidates to table 0.508 * * [progress]: iteration 3 / 4 0.508 * * * [progress]: picking best candidate 0.511 * * * * [pick]: Picked # 0.511 * * * [progress]: localizing error 0.518 * * * [progress]: generating rewritten candidates 0.518 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.524 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.556 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.563 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.578 * * * [progress]: generating series expansions 0.579 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.579 * [approximate]: Taking taylor expansion of (pow (sqrt (+ x y)) 3) in (x y) around 0 0.579 * [taylor]: Taking taylor expansion of (pow (sqrt (+ x y)) 3) in y 0.579 * [taylor]: Taking taylor expansion of (sqrt (+ x y)) in y 0.579 * [taylor]: Taking taylor expansion of (+ x y) in y 0.579 * [taylor]: Taking taylor expansion of x in y 0.579 * [taylor]: Taking taylor expansion of y in y 0.580 * [taylor]: Taking taylor expansion of (pow (sqrt (+ x y)) 3) in x 0.580 * [taylor]: Taking taylor expansion of (sqrt (+ x y)) in x 0.580 * [taylor]: Taking taylor expansion of (+ x y) in x 0.580 * [taylor]: Taking taylor expansion of x in x 0.580 * [taylor]: Taking taylor expansion of y in x 0.581 * [taylor]: Taking taylor expansion of (pow (sqrt (+ x y)) 3) in x 0.581 * [taylor]: Taking taylor expansion of (sqrt (+ x y)) in x 0.581 * [taylor]: Taking taylor expansion of (+ x y) in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.581 * [taylor]: Taking taylor expansion of y in x 0.582 * [taylor]: Taking taylor expansion of (sqrt (pow y 3)) in y 0.582 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.582 * [taylor]: Taking taylor expansion of y in y 0.586 * [taylor]: Taking taylor expansion of (* 3/2 (sqrt y)) in y 0.586 * [taylor]: Taking taylor expansion of 3/2 in y 0.586 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.586 * [taylor]: Taking taylor expansion of y in y 0.591 * [taylor]: Taking taylor expansion of (* 3/8 (sqrt (/ 1 y))) in y 0.591 * [taylor]: Taking taylor expansion of 3/8 in y 0.591 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.591 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.591 * [taylor]: Taking taylor expansion of y in y 0.599 * [approximate]: Taking taylor expansion of (pow (sqrt (+ (/ 1 y) (/ 1 x))) 3) in (x y) around 0 0.599 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (/ 1 y) (/ 1 x))) 3) in y 0.599 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in y 0.599 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.599 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.599 * [taylor]: Taking taylor expansion of y in y 0.599 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.599 * [taylor]: Taking taylor expansion of x in y 0.601 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (/ 1 y) (/ 1 x))) 3) in x 0.601 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in x 0.601 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.601 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.601 * [taylor]: Taking taylor expansion of y in x 0.601 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.603 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (/ 1 y) (/ 1 x))) 3) in x 0.603 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in x 0.603 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.603 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.603 * [taylor]: Taking taylor expansion of y in x 0.603 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.603 * [taylor]: Taking taylor expansion of x in x 0.605 * [taylor]: Taking taylor expansion of +nan.0 in y 0.607 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.607 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.607 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.607 * [taylor]: Taking taylor expansion of +nan.0 in y 0.607 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.607 * [taylor]: Taking taylor expansion of y in y 0.608 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.608 * [taylor]: Taking taylor expansion of +nan.0 in y 0.613 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) in y 0.613 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)))) in y 0.614 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.614 * [taylor]: Taking taylor expansion of +nan.0 in y 0.614 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.614 * [taylor]: Taking taylor expansion of y in y 0.614 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))) in y 0.614 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)) in y 0.614 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 2))) in y 0.614 * [taylor]: Taking taylor expansion of +nan.0 in y 0.614 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.614 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.614 * [taylor]: Taking taylor expansion of y in y 0.614 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.615 * [taylor]: Taking taylor expansion of +nan.0 in y 0.621 * [approximate]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 y) (/ 1 x)))) 3) in (x y) around 0 0.621 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 y) (/ 1 x)))) 3) in y 0.621 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in y 0.621 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in y 0.621 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.621 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.621 * [taylor]: Taking taylor expansion of y in y 0.621 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.622 * [taylor]: Taking taylor expansion of x in y 0.623 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 y) (/ 1 x)))) 3) in x 0.623 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in x 0.623 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 0.623 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.623 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.624 * [taylor]: Taking taylor expansion of y in x 0.624 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.624 * [taylor]: Taking taylor expansion of x in x 0.626 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 y) (/ 1 x)))) 3) in x 0.626 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in x 0.626 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 0.626 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.626 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.626 * [taylor]: Taking taylor expansion of y in x 0.626 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.628 * [taylor]: Taking taylor expansion of +nan.0 in y 0.631 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.631 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.631 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.631 * [taylor]: Taking taylor expansion of +nan.0 in y 0.631 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.631 * [taylor]: Taking taylor expansion of y in y 0.632 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.632 * [taylor]: Taking taylor expansion of +nan.0 in y 0.639 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) in y 0.639 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)))) in y 0.639 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.639 * [taylor]: Taking taylor expansion of +nan.0 in y 0.639 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.639 * [taylor]: Taking taylor expansion of y in y 0.639 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))) in y 0.639 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)) in y 0.639 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 2))) in y 0.639 * [taylor]: Taking taylor expansion of +nan.0 in y 0.639 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.639 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.639 * [taylor]: Taking taylor expansion of y in y 0.640 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.640 * [taylor]: Taking taylor expansion of +nan.0 in y 0.646 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.646 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.646 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.646 * [taylor]: Taking taylor expansion of (+ x y) in y 0.646 * [taylor]: Taking taylor expansion of x in y 0.646 * [taylor]: Taking taylor expansion of y in y 0.646 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.646 * [taylor]: Taking taylor expansion of (+ x y) in x 0.646 * [taylor]: Taking taylor expansion of x in x 0.646 * [taylor]: Taking taylor expansion of y in x 0.646 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.646 * [taylor]: Taking taylor expansion of (+ x y) in x 0.646 * [taylor]: Taking taylor expansion of x in x 0.646 * [taylor]: Taking taylor expansion of y in x 0.647 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.647 * [taylor]: Taking taylor expansion of y in y 0.647 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.647 * [taylor]: Taking taylor expansion of 2 in y 0.647 * [taylor]: Taking taylor expansion of y in y 0.648 * [taylor]: Taking taylor expansion of 1 in y 0.649 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.649 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.649 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.649 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.649 * [taylor]: Taking taylor expansion of y in y 0.650 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.650 * [taylor]: Taking taylor expansion of x in y 0.654 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.655 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.655 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.655 * [taylor]: Taking taylor expansion of y in x 0.655 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.656 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.656 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.656 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.656 * [taylor]: Taking taylor expansion of y in x 0.656 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.656 * [taylor]: Taking taylor expansion of x in x 0.657 * [taylor]: Taking taylor expansion of 1 in y 0.657 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.657 * [taylor]: Taking taylor expansion of 2 in y 0.657 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.657 * [taylor]: Taking taylor expansion of y in y 0.659 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.659 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.659 * [taylor]: Taking taylor expansion of y in y 0.661 * [approximate]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 y) (/ 1 x)))) 4) in (x y) around 0 0.661 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 y) (/ 1 x)))) 4) in y 0.661 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in y 0.661 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in y 0.661 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.661 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.661 * [taylor]: Taking taylor expansion of y in y 0.661 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.661 * [taylor]: Taking taylor expansion of x in y 0.663 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 y) (/ 1 x)))) 4) in x 0.663 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in x 0.663 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 0.663 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.664 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.664 * [taylor]: Taking taylor expansion of y in x 0.664 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.664 * [taylor]: Taking taylor expansion of x in x 0.666 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 y) (/ 1 x)))) 4) in x 0.666 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in x 0.666 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 0.666 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.666 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.666 * [taylor]: Taking taylor expansion of y in x 0.666 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.666 * [taylor]: Taking taylor expansion of x in x 0.668 * [taylor]: Taking taylor expansion of +nan.0 in y 0.671 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.671 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.671 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.671 * [taylor]: Taking taylor expansion of +nan.0 in y 0.671 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.671 * [taylor]: Taking taylor expansion of y in y 0.672 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.672 * [taylor]: Taking taylor expansion of +nan.0 in y 0.679 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) in y 0.679 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)))) in y 0.679 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.679 * [taylor]: Taking taylor expansion of +nan.0 in y 0.679 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.679 * [taylor]: Taking taylor expansion of y in y 0.679 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))) in y 0.679 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)) in y 0.679 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 2))) in y 0.679 * [taylor]: Taking taylor expansion of +nan.0 in y 0.679 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.679 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.680 * [taylor]: Taking taylor expansion of y in y 0.680 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.680 * [taylor]: Taking taylor expansion of +nan.0 in y 0.686 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.687 * [approximate]: Taking taylor expansion of (sqrt (+ x y)) in (x y) around 0 0.687 * [taylor]: Taking taylor expansion of (sqrt (+ x y)) in y 0.687 * [taylor]: Taking taylor expansion of (+ x y) in y 0.687 * [taylor]: Taking taylor expansion of x in y 0.687 * [taylor]: Taking taylor expansion of y in y 0.687 * [taylor]: Taking taylor expansion of (sqrt (+ x y)) in x 0.687 * [taylor]: Taking taylor expansion of (+ x y) in x 0.687 * [taylor]: Taking taylor expansion of x in x 0.687 * [taylor]: Taking taylor expansion of y in x 0.688 * [taylor]: Taking taylor expansion of (sqrt (+ x y)) in x 0.688 * [taylor]: Taking taylor expansion of (+ x y) in x 0.688 * [taylor]: Taking taylor expansion of x in x 0.688 * [taylor]: Taking taylor expansion of y in x 0.688 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.688 * [taylor]: Taking taylor expansion of y in y 0.689 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.689 * [taylor]: Taking taylor expansion of 1/2 in y 0.689 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.689 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.689 * [taylor]: Taking taylor expansion of y in y 0.692 * [taylor]: Taking taylor expansion of (* -1/8 (sqrt (/ 1 (pow y 3)))) in y 0.693 * [taylor]: Taking taylor expansion of -1/8 in y 0.693 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow y 3))) in y 0.693 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.693 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.693 * [taylor]: Taking taylor expansion of y in y 0.700 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.700 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in y 0.700 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.700 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.700 * [taylor]: Taking taylor expansion of y in y 0.700 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.700 * [taylor]: Taking taylor expansion of x in y 0.702 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in x 0.702 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.702 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.702 * [taylor]: Taking taylor expansion of y in x 0.702 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.702 * [taylor]: Taking taylor expansion of x in x 0.703 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in x 0.703 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.703 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.703 * [taylor]: Taking taylor expansion of y in x 0.703 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.703 * [taylor]: Taking taylor expansion of x in x 0.705 * [taylor]: Taking taylor expansion of 0 in y 0.705 * [taylor]: Taking taylor expansion of +nan.0 in y 0.706 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ 1 y) +nan.0)) in y 0.707 * [taylor]: Taking taylor expansion of +nan.0 in y 0.707 * [taylor]: Taking taylor expansion of (- (/ 1 y) +nan.0) in y 0.707 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.707 * [taylor]: Taking taylor expansion of y in y 0.707 * [taylor]: Taking taylor expansion of +nan.0 in y 0.709 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.709 * [taylor]: Taking taylor expansion of +nan.0 in y 0.709 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.709 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.709 * [taylor]: Taking taylor expansion of +nan.0 in y 0.709 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.709 * [taylor]: Taking taylor expansion of y in y 0.709 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.709 * [taylor]: Taking taylor expansion of +nan.0 in y 0.711 * [approximate]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.711 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in y 0.711 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in y 0.711 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.711 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.711 * [taylor]: Taking taylor expansion of y in y 0.711 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.711 * [taylor]: Taking taylor expansion of x in y 0.713 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in x 0.713 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 0.713 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.713 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.713 * [taylor]: Taking taylor expansion of y in x 0.713 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.713 * [taylor]: Taking taylor expansion of x in x 0.715 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in x 0.715 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 0.715 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.715 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.715 * [taylor]: Taking taylor expansion of y in x 0.716 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.716 * [taylor]: Taking taylor expansion of x in x 0.718 * [taylor]: Taking taylor expansion of 0 in y 0.718 * [taylor]: Taking taylor expansion of +nan.0 in y 0.719 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (/ 1 y) (- +nan.0))) in y 0.719 * [taylor]: Taking taylor expansion of +nan.0 in y 0.719 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (- +nan.0)) in y 0.719 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.719 * [taylor]: Taking taylor expansion of y in y 0.720 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.720 * [taylor]: Taking taylor expansion of +nan.0 in y 0.722 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.722 * [taylor]: Taking taylor expansion of +nan.0 in y 0.722 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.722 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.722 * [taylor]: Taking taylor expansion of +nan.0 in y 0.722 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.722 * [taylor]: Taking taylor expansion of y in y 0.722 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.722 * [taylor]: Taking taylor expansion of +nan.0 in y 0.724 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.724 * [approximate]: Taking taylor expansion of (sqrt (+ x y)) in (x y) around 0 0.724 * [taylor]: Taking taylor expansion of (sqrt (+ x y)) in y 0.724 * [taylor]: Taking taylor expansion of (+ x y) in y 0.724 * [taylor]: Taking taylor expansion of x in y 0.724 * [taylor]: Taking taylor expansion of y in y 0.724 * [taylor]: Taking taylor expansion of (sqrt (+ x y)) in x 0.724 * [taylor]: Taking taylor expansion of (+ x y) in x 0.724 * [taylor]: Taking taylor expansion of x in x 0.724 * [taylor]: Taking taylor expansion of y in x 0.725 * [taylor]: Taking taylor expansion of (sqrt (+ x y)) in x 0.725 * [taylor]: Taking taylor expansion of (+ x y) in x 0.725 * [taylor]: Taking taylor expansion of x in x 0.725 * [taylor]: Taking taylor expansion of y in x 0.725 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.725 * [taylor]: Taking taylor expansion of y in y 0.726 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.726 * [taylor]: Taking taylor expansion of 1/2 in y 0.726 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.727 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.727 * [taylor]: Taking taylor expansion of y in y 0.730 * [taylor]: Taking taylor expansion of (* -1/8 (sqrt (/ 1 (pow y 3)))) in y 0.730 * [taylor]: Taking taylor expansion of -1/8 in y 0.730 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow y 3))) in y 0.730 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.730 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.730 * [taylor]: Taking taylor expansion of y in y 0.737 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.737 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in y 0.737 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.737 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.737 * [taylor]: Taking taylor expansion of y in y 0.737 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.737 * [taylor]: Taking taylor expansion of x in y 0.739 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in x 0.739 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.739 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.739 * [taylor]: Taking taylor expansion of y in x 0.739 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.739 * [taylor]: Taking taylor expansion of x in x 0.740 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in x 0.740 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.740 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.740 * [taylor]: Taking taylor expansion of y in x 0.741 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.741 * [taylor]: Taking taylor expansion of x in x 0.742 * [taylor]: Taking taylor expansion of 0 in y 0.742 * [taylor]: Taking taylor expansion of +nan.0 in y 0.744 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ 1 y) +nan.0)) in y 0.744 * [taylor]: Taking taylor expansion of +nan.0 in y 0.744 * [taylor]: Taking taylor expansion of (- (/ 1 y) +nan.0) in y 0.744 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.744 * [taylor]: Taking taylor expansion of y in y 0.744 * [taylor]: Taking taylor expansion of +nan.0 in y 0.749 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.749 * [taylor]: Taking taylor expansion of +nan.0 in y 0.749 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.749 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.749 * [taylor]: Taking taylor expansion of +nan.0 in y 0.749 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.749 * [taylor]: Taking taylor expansion of y in y 0.750 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.750 * [taylor]: Taking taylor expansion of +nan.0 in y 0.751 * [approximate]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.751 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in y 0.751 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in y 0.751 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.751 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.752 * [taylor]: Taking taylor expansion of y in y 0.752 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.752 * [taylor]: Taking taylor expansion of x in y 0.754 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in x 0.754 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 0.754 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.754 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.754 * [taylor]: Taking taylor expansion of y in x 0.754 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.754 * [taylor]: Taking taylor expansion of x in x 0.756 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in x 0.756 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 0.756 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.756 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.756 * [taylor]: Taking taylor expansion of y in x 0.756 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.756 * [taylor]: Taking taylor expansion of x in x 0.758 * [taylor]: Taking taylor expansion of 0 in y 0.758 * [taylor]: Taking taylor expansion of +nan.0 in y 0.760 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (/ 1 y) (- +nan.0))) in y 0.760 * [taylor]: Taking taylor expansion of +nan.0 in y 0.760 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (- +nan.0)) in y 0.760 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.760 * [taylor]: Taking taylor expansion of y in y 0.760 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.760 * [taylor]: Taking taylor expansion of +nan.0 in y 0.762 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.763 * [taylor]: Taking taylor expansion of +nan.0 in y 0.763 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.763 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.763 * [taylor]: Taking taylor expansion of +nan.0 in y 0.763 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.763 * [taylor]: Taking taylor expansion of y in y 0.763 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.763 * [taylor]: Taking taylor expansion of +nan.0 in y 0.765 * * * [progress]: simplifying candidates 0.767 * [simplify]: Simplifying using # : (expm1 (pow (sqrt (+ x y)) 3)) (log1p (pow (sqrt (+ x y)) 3)) (* (log (sqrt (+ x y))) 3) (* (log (sqrt (+ x y))) 3) (* 1/2 3) (* 1 3) (* (/ 1 2) 3) (pow (sqrt (+ x y)) (* (cbrt 3) (cbrt 3))) (pow (sqrt (+ x y)) (sqrt 3)) (pow (sqrt (+ x y)) 1) (pow (* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y)))) 3) (pow (cbrt (sqrt (+ x y))) 3) (pow (sqrt (* (cbrt (+ x y)) (cbrt (+ x y)))) 3) (pow (sqrt (cbrt (+ x y))) 3) (pow (sqrt (sqrt (+ x y))) 3) (pow (sqrt (sqrt (+ x y))) 3) (pow (sqrt 1) 3) (pow (sqrt (+ x y)) 3) (pow (sqrt 1) 3) (pow (sqrt (+ x y)) 3) (pow (sqrt (sqrt (+ x y))) 3) (pow (sqrt (sqrt (+ x y))) 3) (pow 1 3) (pow (sqrt (+ x y)) 3) (* (sqrt (+ x y)) (sqrt (+ x y))) (log (pow (sqrt (+ x y)) 3)) (exp (pow (sqrt (+ x y)) 3)) (* (cbrt (pow (sqrt (+ x y)) 3)) (cbrt (pow (sqrt (+ x y)) 3))) (cbrt (pow (sqrt (+ x y)) 3)) (* (* (pow (sqrt (+ x y)) 3) (pow (sqrt (+ x y)) 3)) (pow (sqrt (+ x y)) 3)) (pow (* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y)))) 3) (pow (cbrt (sqrt (+ x y))) 3) (pow (sqrt (* (cbrt (+ x y)) (cbrt (+ x y)))) 3) (pow (sqrt (cbrt (+ x y))) 3) (pow (sqrt (sqrt (+ x y))) 3) (pow (sqrt (sqrt (+ x y))) 3) (pow (sqrt 1) 3) (pow (sqrt (+ x y)) 3) (pow (sqrt 1) 3) (pow (sqrt (+ x y)) 3) (pow (sqrt (sqrt (+ x y))) 3) (pow (sqrt (sqrt (+ x y))) 3) (pow 1 3) (pow (sqrt (+ x y)) 3) (pow (sqrt (+ (pow x 3) (pow y 3))) 3) (pow (sqrt (+ (* x x) (- (* y y) (* x y)))) 3) (pow (sqrt (- (* x x) (* y y))) 3) (pow (sqrt (- x y)) 3) (* (sqrt (+ x y)) (sqrt (+ x y))) (/ 3 2) (sqrt (pow (sqrt (+ x y)) 3)) (sqrt (pow (sqrt (+ x y)) 3)) (pow (sqrt (+ x y)) (/ 3 2)) (pow (sqrt (+ x y)) (/ 3 2)) (expm1 (* (pow (sqrt (+ x y)) 3) (sqrt (+ x y)))) (log1p (* (pow (sqrt (+ x y)) 3) (sqrt (+ x y)))) (+ 3 1) (+ 3 1) (+ (* (log (sqrt (+ x y))) 3) (log (sqrt (+ x y)))) (+ (* (log (sqrt (+ x y))) 3) (log (sqrt (+ x y)))) (+ (log (pow (sqrt (+ x y)) 3)) (log (sqrt (+ x y)))) (log (* (pow (sqrt (+ x y)) 3) (sqrt (+ x y)))) (exp (* (pow (sqrt (+ x y)) 3) (sqrt (+ x y)))) (* (* (* (pow (sqrt (+ x y)) 3) (pow (sqrt (+ x y)) 3)) (pow (sqrt (+ x y)) 3)) (* (* (sqrt (+ x y)) (sqrt (+ x y))) (sqrt (+ x y)))) (* (cbrt (* (pow (sqrt (+ x y)) 3) (sqrt (+ x y)))) (cbrt (* (pow (sqrt (+ x y)) 3) (sqrt (+ x y))))) (cbrt (* (pow (sqrt (+ x y)) 3) (sqrt (+ x y)))) (* (* (* (pow (sqrt (+ x y)) 3) (sqrt (+ x y))) (* (pow (sqrt (+ x y)) 3) (sqrt (+ x y)))) (* (pow (sqrt (+ x y)) 3) (sqrt (+ x y)))) (sqrt (* (pow (sqrt (+ x y)) 3) (sqrt (+ x y)))) (sqrt (* (pow (sqrt (+ x y)) 3) (sqrt (+ x y)))) (* (pow (sqrt (+ (pow x 3) (pow y 3))) 3) (sqrt (+ (pow x 3) (pow y 3)))) (* (pow (sqrt (+ (* x x) (- (* y y) (* x y)))) 3) 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(/ 3 2)) (sqrt (+ x y))) (* (pow (sqrt (+ x y)) 3) (sqrt (+ (pow x 3) (pow y 3)))) (* (pow (sqrt (+ x y)) 3) (sqrt (- (* x x) (* y y)))) (* (pow (sqrt (+ (pow x 3) (pow y 3))) 3) (sqrt (+ x y))) (* (pow (sqrt (- (* x x) (* y y))) 3) (sqrt (+ x y))) (expm1 (sqrt (+ x y))) (log1p (sqrt (+ x y))) (log (sqrt (+ x y))) (exp (sqrt (+ x y))) (* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y)))) (cbrt (sqrt (+ x y))) (* (* (sqrt (+ x y)) (sqrt (+ x y))) (sqrt (+ x y))) (sqrt (* (cbrt (+ x y)) (cbrt (+ x y)))) (sqrt (cbrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt 1) (sqrt (+ x y)) (sqrt 1) (sqrt (+ x y)) (sqrt (+ (pow x 3) (pow y 3))) (sqrt (+ (* x x) (- (* y y) (* x y)))) (sqrt (- (* x x) (* y y))) (sqrt (- x y)) (/ 1 2) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (expm1 (sqrt (+ x y))) (log1p (sqrt (+ x y))) (log (sqrt (+ x y))) (exp (sqrt (+ x y))) (* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y)))) (cbrt (sqrt (+ x y))) (* (* (sqrt (+ x y)) (sqrt (+ x y))) (sqrt (+ x y))) (sqrt (* 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x 2))) (- (+ (* +nan.0 (/ y x)) (- +nan.0))))) (- (+ (* +nan.0 (/ y (pow x 2))) (- (+ (* +nan.0 (/ y x)) (- +nan.0))))) 0.775 * * [simplify]: iteration 0 : 385 enodes (cost 859 ) 0.785 * * [simplify]: iteration 1 : 1703 enodes (cost 695 ) 0.832 * * [simplify]: iteration 2 : 5002 enodes (cost 632 ) 0.837 * [simplify]: Simplified to: (expm1 (pow (sqrt (+ x y)) 3)) (log1p (pow (sqrt (+ x y)) 3)) (log (pow (sqrt (+ x y)) 3)) (log (pow (sqrt (+ x y)) 3)) 3/2 3 3/2 (pow (sqrt (+ x y)) (* (cbrt 3) (cbrt 3))) (pow (sqrt (+ x y)) (sqrt 3)) (sqrt (+ x y)) (+ x y) (sqrt (+ x y)) (pow (fabs (cbrt (+ x y))) 3) (pow (sqrt (cbrt (+ x y))) 3) (pow (sqrt (+ x y)) 3/2) (pow (sqrt (+ x y)) 3/2) 1 (pow (sqrt (+ x y)) 3) 1 (pow (sqrt (+ x y)) 3) (pow (sqrt (+ x y)) 3/2) (pow (sqrt (+ x y)) 3/2) 1 (pow (sqrt (+ x y)) 3) (+ x y) (log (pow (sqrt (+ x y)) 3)) (exp (pow (sqrt (+ x y)) 3)) (+ x y) (sqrt (+ x y)) (pow (sqrt (+ x y)) 9) (+ x y) (sqrt (+ x y)) (pow (fabs (cbrt (+ x y))) 3) (pow (sqrt (cbrt (+ x 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(pow x 2)) (fma +nan.0 (/ y x) (- +nan.0))) (fma (- (pow x 2)) +nan.0 (* +nan.0 (- x y))) (fma (- +nan.0) (/ y (pow x 2)) (fma +nan.0 (/ y x) (- +nan.0))) (fma (- +nan.0) (/ y (pow x 2)) (fma +nan.0 (/ y x) (- +nan.0))) 0.838 * * * [progress]: adding candidates to table 1.113 * [progress]: [Phase 3 of 3] Extracting. 1.113 * * [regime]: Finding splitpoints for: (# # #) 1.114 * * * [regime-changes]: Trying 4 branch expressions: ((+ x y) (* (+ x y) (+ x y)) y x) 1.114 * * * * [regimes]: Trying to branch on (+ x y) from (# # #) 1.144 * * * * [regimes]: Trying to branch on (+ x y) from (# #) 1.157 * * * * [regimes]: Trying to branch on (* (+ x y) (+ x y)) from (# # #) 1.170 * * * * [regimes]: Trying to branch on y from (# # #) 1.187 * * * * [regimes]: Trying to branch on x from (# # #) 1.201 * * * [regime]: Found split indices: #