6.909 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (* (+ x y) (+ x y)) 0.019 * * [simplify]: iteration 0 : 11 enodes (cost 3 ) 0.021 * * [simplify]: iteration 1 : 27 enodes (cost 3 ) 0.022 * * [simplify]: iteration 2 : 66 enodes (cost 3 ) 0.024 * * [simplify]: iteration 3 : 113 enodes (cost 3 ) 0.027 * * [simplify]: iteration 4 : 145 enodes (cost 3 ) 0.029 * * [simplify]: iteration 5 : 165 enodes (cost 3 ) 0.032 * * [simplify]: iteration 6 : 182 enodes (cost 3 ) 0.035 * * [simplify]: iteration 7 : 184 enodes (cost 3 ) 0.037 * * [simplify]: iteration 8 : 184 enodes (cost 3 ) 0.037 * [simplify]: Simplified to: (* (+ x y) (+ x y)) 0.038 * * [progress]: iteration 1 / 4 0.038 * * * [progress]: picking best candidate 0.039 * * * * [pick]: Picked # 0.039 * * * [progress]: localizing error 0.042 * * * [progress]: generating rewritten candidates 0.042 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.061 * * * [progress]: generating series expansions 0.061 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.061 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.061 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.061 * [taylor]: Taking taylor expansion of (+ x y) in y 0.061 * [taylor]: Taking taylor expansion of x in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.061 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.061 * [taylor]: Taking taylor expansion of (+ x y) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.061 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.061 * [taylor]: Taking taylor expansion of (+ x y) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [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 0.062 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.062 * [taylor]: Taking taylor expansion of 2 in y 0.062 * [taylor]: Taking taylor expansion of y in y 0.063 * [taylor]: Taking taylor expansion of 1 in y 0.064 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.064 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.064 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.064 * [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 0.065 * [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 0.065 * [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 0.067 * [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 0.068 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.068 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.070 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.070 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.070 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.070 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.070 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.070 * [taylor]: Taking taylor expansion of x in y 0.070 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.070 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.070 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.071 * [taylor]: Taking taylor expansion of y in x 0.071 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.071 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.071 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.071 * [taylor]: Taking taylor expansion of y in x 0.071 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.072 * [taylor]: Taking taylor expansion of 1 in y 0.073 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.073 * [taylor]: Taking taylor expansion of 2 in y 0.073 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.078 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.078 * [taylor]: Taking taylor expansion of y in y 0.080 * * * [progress]: simplifying candidates 0.080 * [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)))) 0.085 * * [simplify]: iteration 0 : 194 enodes (cost 221 ) 0.090 * * [simplify]: iteration 1 : 953 enodes (cost 194 ) 0.118 * * [simplify]: iteration 2 : 5002 enodes (cost 180 ) 0.119 * [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)) 0.120 * * * [progress]: adding candidates to table 0.172 * * [progress]: iteration 2 / 4 0.172 * * * [progress]: picking best candidate 0.176 * * * * [pick]: Picked # 0.176 * * * [progress]: localizing error 0.181 * * * [progress]: generating rewritten candidates 0.181 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.191 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.199 * * * [progress]: generating series expansions 0.199 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.199 * [approximate]: Taking taylor expansion of (* y (+ x y)) in (y x) around 0 0.199 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 0.199 * [taylor]: Taking taylor expansion of y in x 0.199 * [taylor]: Taking taylor expansion of (+ x y) in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [taylor]: Taking taylor expansion of y in x 0.199 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.199 * [taylor]: Taking taylor expansion of y in y 0.199 * [taylor]: Taking taylor expansion of (+ x y) in y 0.199 * [taylor]: Taking taylor expansion of x in y 0.199 * [taylor]: Taking taylor expansion of y in y 0.199 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.199 * [taylor]: Taking taylor expansion of y in y 0.199 * [taylor]: Taking taylor expansion of (+ x y) in y 0.199 * [taylor]: Taking taylor expansion of x in y 0.199 * [taylor]: Taking taylor expansion of y in y 0.199 * [taylor]: Taking taylor expansion of 0 in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of 1 in x 0.202 * [taylor]: Taking taylor expansion of 0 in x 0.203 * [taylor]: Taking taylor expansion of 0 in x 0.203 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.203 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.203 * [taylor]: Taking taylor expansion of y in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of y in x 0.204 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.204 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.204 * [taylor]: Taking taylor expansion of y in y 0.204 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.204 * [taylor]: Taking taylor expansion of x in y 0.204 * [taylor]: Taking taylor expansion of y in y 0.205 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.205 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.205 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.205 * [taylor]: Taking taylor expansion of y in y 0.205 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.205 * [taylor]: Taking taylor expansion of x in y 0.205 * [taylor]: Taking taylor expansion of y in y 0.206 * [taylor]: Taking taylor expansion of 1 in x 0.207 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.209 * [taylor]: Taking taylor expansion of 0 in x 0.211 * [taylor]: Taking taylor expansion of 0 in x 0.214 * [taylor]: Taking taylor expansion of 0 in x 0.215 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.215 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.215 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.215 * [taylor]: Taking taylor expansion of y in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of y in x 0.215 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) 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 y in y 0.216 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.216 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.216 * [taylor]: Taking taylor expansion of y in y 0.217 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.217 * [taylor]: Taking taylor expansion of x in y 0.217 * [taylor]: Taking taylor expansion of y in y 0.217 * [taylor]: Taking taylor expansion of 1 in x 0.218 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.220 * [taylor]: Taking taylor expansion of 0 in x 0.223 * [taylor]: Taking taylor expansion of 0 in x 0.226 * [taylor]: Taking taylor expansion of 0 in x 0.226 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.226 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 0.226 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 0.226 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.226 * [taylor]: Taking taylor expansion of x in y 0.226 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 0.226 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.226 * [taylor]: Taking taylor expansion of y in y 0.226 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 0.226 * [taylor]: Taking taylor expansion of 2 in y 0.226 * [taylor]: Taking taylor expansion of (* x y) in y 0.226 * [taylor]: Taking taylor expansion of x in y 0.226 * [taylor]: Taking taylor expansion of y in y 0.226 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 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 (+ (pow y 2) (* 2 (* x y))) in x 0.226 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.226 * [taylor]: Taking taylor expansion of y in x 0.226 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.226 * [taylor]: Taking taylor expansion of 2 in x 0.226 * [taylor]: Taking taylor expansion of (* x y) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.226 * [taylor]: Taking taylor expansion of y in x 0.226 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 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 (+ (pow y 2) (* 2 (* x y))) in x 0.227 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.227 * [taylor]: Taking taylor expansion of y in x 0.227 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.227 * [taylor]: Taking taylor expansion of 2 in x 0.227 * [taylor]: Taking taylor expansion of (* x y) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of y in x 0.227 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.227 * [taylor]: Taking taylor expansion of y in y 0.228 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.228 * [taylor]: Taking taylor expansion of 2 in y 0.228 * [taylor]: Taking taylor expansion of y in y 0.230 * [taylor]: Taking taylor expansion of 1 in y 0.231 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.231 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.232 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.232 * [taylor]: Taking taylor expansion of x in y 0.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.232 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.232 * [taylor]: Taking taylor expansion of y in y 0.232 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.232 * [taylor]: Taking taylor expansion of 2 in y 0.232 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.232 * [taylor]: Taking taylor expansion of (* x y) in y 0.232 * [taylor]: Taking taylor expansion of x in y 0.232 * [taylor]: Taking taylor expansion of y in y 0.233 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.233 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.233 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.233 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.233 * [taylor]: Taking taylor expansion of y in x 0.233 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.233 * [taylor]: Taking taylor expansion of 2 in x 0.233 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.233 * [taylor]: Taking taylor expansion of (* x y) in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.233 * [taylor]: Taking taylor expansion of y in x 0.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.234 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.234 * [taylor]: Taking taylor expansion of x in x 0.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.234 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.234 * [taylor]: Taking taylor expansion of y in x 0.235 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.235 * [taylor]: Taking taylor expansion of 2 in x 0.235 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.235 * [taylor]: Taking taylor expansion of (* x y) in x 0.235 * [taylor]: Taking taylor expansion of x in x 0.235 * [taylor]: Taking taylor expansion of y in x 0.235 * [taylor]: Taking taylor expansion of 1 in y 0.236 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.236 * [taylor]: Taking taylor expansion of 2 in y 0.236 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.236 * [taylor]: Taking taylor expansion of y in y 0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.239 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.239 * [taylor]: Taking taylor expansion of y in y 0.240 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.240 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.240 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.240 * [taylor]: Taking taylor expansion of x in y 0.240 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.241 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.241 * [taylor]: Taking taylor expansion of y in y 0.241 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.241 * [taylor]: Taking taylor expansion of 2 in y 0.241 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.241 * [taylor]: Taking taylor expansion of (* x y) in y 0.241 * [taylor]: Taking taylor expansion of x in y 0.241 * [taylor]: Taking taylor expansion of y in y 0.241 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.242 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.242 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.242 * [taylor]: Taking taylor expansion of y in x 0.242 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.242 * [taylor]: Taking taylor expansion of 2 in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.242 * [taylor]: Taking taylor expansion of (* x y) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [taylor]: Taking taylor expansion of y in x 0.243 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.243 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.243 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.243 * [taylor]: Taking taylor expansion of y in x 0.243 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.243 * [taylor]: Taking taylor expansion of 2 in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.243 * [taylor]: Taking taylor expansion of (* x y) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of y in x 0.244 * [taylor]: Taking taylor expansion of 1 in y 0.245 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.245 * [taylor]: Taking taylor expansion of 2 in y 0.245 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.245 * [taylor]: Taking taylor expansion of y in y 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.247 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.247 * [taylor]: Taking taylor expansion of y in y 0.249 * * * [progress]: simplifying candidates 0.252 * [simplify]: Simplifying using # : (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 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)))) 0.257 * * [simplify]: iteration 0 : 323 enodes (cost 317 ) 0.265 * * [simplify]: iteration 1 : 1742 enodes (cost 265 ) 0.305 * * [simplify]: iteration 2 : 5001 enodes (cost 260 ) 0.307 * [simplify]: Simplified to: (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))) (* y x) (pow y 2) (* y x) (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 y (- y x) (pow x 2)) (+ (* x (+ (pow x 3) (pow y 3))) (* y (+ (pow x 3) (pow y 3))))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (fma (fma y (- y x) (pow x 2)) (* y (- (* x x) (* y y))) (* (* x (+ (pow x 3) (pow y 3))) (- x y))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (fma (fma y (- y x) (pow x 2)) (* x (- (* x x) (* y y))) (* (- x y) (* y (+ (pow x 3) (pow y 3))))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (* (- 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))) (* 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))) 0.307 * * * [progress]: adding candidates to table 0.415 * * [progress]: iteration 3 / 4 0.415 * * * [progress]: picking best candidate 0.419 * * * * [pick]: Picked # 0.419 * * * [progress]: localizing error 0.426 * * * [progress]: generating rewritten candidates 0.426 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 3) 0.436 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.438 * * * [progress]: generating series expansions 0.438 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 3) 0.438 * [approximate]: Taking taylor expansion of (* y (+ x y)) in (y x) around 0 0.438 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 0.438 * [taylor]: Taking taylor expansion of y in x 0.438 * [taylor]: Taking taylor expansion of (+ x y) in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.438 * [taylor]: Taking taylor expansion of y in x 0.438 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.438 * [taylor]: Taking taylor expansion of y in y 0.438 * [taylor]: Taking taylor expansion of (+ x y) in y 0.438 * [taylor]: Taking taylor expansion of x in y 0.438 * [taylor]: Taking taylor expansion of y in y 0.438 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.438 * [taylor]: Taking taylor expansion of y in y 0.438 * [taylor]: Taking taylor expansion of (+ x y) in y 0.438 * [taylor]: Taking taylor expansion of x in y 0.438 * [taylor]: Taking taylor expansion of y in y 0.438 * [taylor]: Taking taylor expansion of 0 in x 0.439 * [taylor]: Taking taylor expansion of x in x 0.440 * [taylor]: Taking taylor expansion of 1 in x 0.441 * [taylor]: Taking taylor expansion of 0 in x 0.443 * [taylor]: Taking taylor expansion of 0 in x 0.443 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.443 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.443 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 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 x) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.444 * [taylor]: Taking taylor expansion of y in x 0.444 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.444 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.444 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.444 * [taylor]: Taking taylor expansion of y in y 0.444 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.444 * [taylor]: Taking taylor expansion of x in y 0.444 * [taylor]: Taking taylor expansion of y in y 0.445 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.445 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.445 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.445 * [taylor]: Taking taylor expansion of y in y 0.445 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.445 * [taylor]: Taking taylor expansion of x in y 0.445 * [taylor]: Taking taylor expansion of y in y 0.446 * [taylor]: Taking taylor expansion of 1 in x 0.447 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.449 * [taylor]: Taking taylor expansion of 0 in x 0.452 * [taylor]: Taking taylor expansion of 0 in x 0.454 * [taylor]: Taking taylor expansion of 0 in x 0.455 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.455 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.455 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.455 * [taylor]: Taking taylor expansion of y in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of y in x 0.456 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.456 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.456 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.456 * [taylor]: Taking taylor expansion of y in y 0.456 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.456 * [taylor]: Taking taylor expansion of x in y 0.456 * [taylor]: Taking taylor expansion of y in y 0.457 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.457 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.457 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.457 * [taylor]: Taking taylor expansion of y in y 0.457 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.457 * [taylor]: Taking taylor expansion of x in y 0.457 * [taylor]: Taking taylor expansion of y in y 0.458 * [taylor]: Taking taylor expansion of 1 in x 0.459 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.461 * [taylor]: Taking taylor expansion of 0 in x 0.463 * [taylor]: Taking taylor expansion of 0 in x 0.466 * [taylor]: Taking taylor expansion of 0 in x 0.467 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.467 * [approximate]: Taking taylor expansion of (fma y x (* y (+ x y))) in (y x) around 0 0.467 * [taylor]: Taking taylor expansion of (fma y x (* y (+ x y))) in x 0.467 * [taylor]: Rewrote expression to (+ (* y x) (* y (+ x y))) 0.467 * [taylor]: Taking taylor expansion of (* y x) in x 0.467 * [taylor]: Taking taylor expansion of y in x 0.467 * [taylor]: Taking taylor expansion of x in x 0.467 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 0.467 * [taylor]: Taking taylor expansion of y in x 0.467 * [taylor]: Taking taylor expansion of (+ x y) in x 0.467 * [taylor]: Taking taylor expansion of x in x 0.467 * [taylor]: Taking taylor expansion of y in x 0.467 * [taylor]: Taking taylor expansion of (fma y x (* y (+ x y))) in y 0.467 * [taylor]: Rewrote expression to (+ (* y x) (* y (+ x y))) 0.467 * [taylor]: Taking taylor expansion of (* y x) in y 0.467 * [taylor]: Taking taylor expansion of y in y 0.467 * [taylor]: Taking taylor expansion of x in y 0.467 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.467 * [taylor]: Taking taylor expansion of y in y 0.467 * [taylor]: Taking taylor expansion of (+ x y) in y 0.467 * [taylor]: Taking taylor expansion of x in y 0.467 * [taylor]: Taking taylor expansion of y in y 0.467 * [taylor]: Taking taylor expansion of (fma y x (* y (+ x y))) in y 0.467 * [taylor]: Rewrote expression to (+ (* y x) (* y (+ x y))) 0.467 * [taylor]: Taking taylor expansion of (* y x) in y 0.467 * [taylor]: Taking taylor expansion of y in y 0.467 * [taylor]: Taking taylor expansion of x in y 0.467 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.467 * [taylor]: Taking taylor expansion of y in y 0.467 * [taylor]: Taking taylor expansion of (+ x y) in y 0.467 * [taylor]: Taking taylor expansion of x in y 0.467 * [taylor]: Taking taylor expansion of y in y 0.468 * [taylor]: Taking taylor expansion of 0 in x 0.469 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.469 * [taylor]: Taking taylor expansion of 2 in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.470 * [taylor]: Taking taylor expansion of 1 in x 0.473 * [taylor]: Taking taylor expansion of 0 in x 0.476 * [taylor]: Taking taylor expansion of 0 in x 0.476 * [approximate]: Taking taylor expansion of (fma (/ 1 y) (/ 1 x) (/ (+ (/ 1 y) (/ 1 x)) y)) in (y x) around 0 0.476 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 x) (/ (+ (/ 1 y) (/ 1 x)) y)) in x 0.477 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 x)) (/ (+ (/ 1 y) (/ 1 x)) y)) 0.477 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in x 0.477 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.477 * [taylor]: Taking taylor expansion of y in x 0.477 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.477 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.477 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.477 * [taylor]: Taking taylor expansion of y in x 0.477 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of y in x 0.478 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 x) (/ (+ (/ 1 y) (/ 1 x)) y)) in y 0.478 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 x)) (/ (+ (/ 1 y) (/ 1 x)) y)) 0.478 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in y 0.478 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.478 * [taylor]: Taking taylor expansion of y in y 0.478 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.478 * [taylor]: Taking taylor expansion of x in y 0.478 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.478 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.478 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.478 * [taylor]: Taking taylor expansion of y in y 0.478 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.478 * [taylor]: Taking taylor expansion of x in y 0.478 * [taylor]: Taking taylor expansion of y in y 0.479 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 x) (/ (+ (/ 1 y) (/ 1 x)) y)) in y 0.479 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 x)) (/ (+ (/ 1 y) (/ 1 x)) y)) 0.479 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in y 0.479 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.479 * [taylor]: Taking taylor expansion of y in y 0.479 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.479 * [taylor]: Taking taylor expansion of x in y 0.480 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.480 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.480 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.480 * [taylor]: Taking taylor expansion of y in y 0.480 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.480 * [taylor]: Taking taylor expansion of x in y 0.480 * [taylor]: Taking taylor expansion of y in y 0.481 * [taylor]: Taking taylor expansion of 1 in x 0.482 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.482 * [taylor]: Taking taylor expansion of 2 in x 0.482 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.482 * [taylor]: Taking taylor expansion of x in x 0.485 * [taylor]: Taking taylor expansion of 0 in x 0.489 * [taylor]: Taking taylor expansion of 0 in x 0.497 * [taylor]: Taking taylor expansion of 0 in x 0.498 * [approximate]: Taking taylor expansion of (fma (/ -1 y) (/ -1 x) (/ (+ (/ 1 y) (/ 1 x)) y)) in (y x) around 0 0.498 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 x) (/ (+ (/ 1 y) (/ 1 x)) y)) in x 0.498 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 x)) (/ (+ (/ 1 y) (/ 1 x)) y)) 0.498 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 x)) in x 0.498 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.498 * [taylor]: Taking taylor expansion of -1 in x 0.498 * [taylor]: Taking taylor expansion of y in x 0.498 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.498 * [taylor]: Taking taylor expansion of -1 in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.498 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.498 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.498 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.498 * [taylor]: Taking taylor expansion of y in x 0.498 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.499 * [taylor]: Taking taylor expansion of y in x 0.499 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 x) (/ (+ (/ 1 y) (/ 1 x)) y)) in y 0.499 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 x)) (/ (+ (/ 1 y) (/ 1 x)) y)) 0.499 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 x)) in y 0.499 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.499 * [taylor]: Taking taylor expansion of -1 in y 0.499 * [taylor]: Taking taylor expansion of y in y 0.499 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.499 * [taylor]: Taking taylor expansion of -1 in y 0.499 * [taylor]: Taking taylor expansion of x in y 0.499 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.499 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.500 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.500 * [taylor]: Taking taylor expansion of y in y 0.500 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.500 * [taylor]: Taking taylor expansion of x in y 0.500 * [taylor]: Taking taylor expansion of y in y 0.500 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 x) (/ (+ (/ 1 y) (/ 1 x)) y)) in y 0.500 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 x)) (/ (+ (/ 1 y) (/ 1 x)) y)) 0.501 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 x)) in y 0.501 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.501 * [taylor]: Taking taylor expansion of -1 in y 0.501 * [taylor]: Taking taylor expansion of y in y 0.501 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.501 * [taylor]: Taking taylor expansion of -1 in y 0.501 * [taylor]: Taking taylor expansion of x in y 0.501 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.501 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.501 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.501 * [taylor]: Taking taylor expansion of y in y 0.501 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.501 * [taylor]: Taking taylor expansion of x in y 0.501 * [taylor]: Taking taylor expansion of y in y 0.502 * [taylor]: Taking taylor expansion of 1 in x 0.503 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.503 * [taylor]: Taking taylor expansion of 2 in x 0.503 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of 0 in x 0.511 * [taylor]: Taking taylor expansion of 0 in x 0.516 * [taylor]: Taking taylor expansion of 0 in x 0.516 * * * [progress]: simplifying candidates 0.517 * [simplify]: Simplifying using # : (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 (fma y x (* y (+ x y)))) (log1p (fma y x (* y (+ x y)))) (* y x) (log (fma y x (* y (+ x y)))) (exp (fma y x (* y (+ x y)))) (* (cbrt (fma y x (* y (+ x y)))) (cbrt (fma y x (* y (+ x y))))) (cbrt (fma y x (* y (+ x y)))) (* (* (fma y x (* y (+ x y))) (fma y x (* y (+ x y)))) (fma y x (* y (+ x y)))) (sqrt (fma y x (* y (+ x y)))) (sqrt (fma y x (* y (+ x y)))) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) 0.521 * * [simplify]: iteration 0 : 144 enodes (cost 152 ) 0.525 * * [simplify]: iteration 1 : 681 enodes (cost 133 ) 0.543 * * [simplify]: iteration 2 : 3466 enodes (cost 129 ) 0.612 * * [simplify]: iteration 3 : 5001 enodes (cost 128 ) 0.613 * [simplify]: Simplified to: (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 (+ x y)) (pow y 1/2)) (* (sqrt (+ x y)) (pow y 1/2)) (* y x) (pow y 2) (* y x) (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 (fma y x (* y (+ x y)))) (log1p (fma y x (* y (+ x y)))) (* y x) (log (fma y x (* y (+ x y)))) (pow E (* (fma x 2 y) y)) (* (cbrt (fma y x (* y (+ x y)))) (cbrt (fma y x (* y (+ x y))))) (cbrt (fma y x (* y (+ x y)))) (pow (fma y x (* y (+ x y))) 3) (sqrt (fma y x (* y (+ x y)))) (sqrt (fma y x (* y (+ x y)))) (* y (+ x y)) (* y (+ x y)) (* y (+ x y)) (* (fma x 2 y) y) (* (fma x 2 y) y) (* (fma x 2 y) y) 0.613 * * * [progress]: adding candidates to table 0.698 * * [progress]: iteration 4 / 4 0.698 * * * [progress]: picking best candidate 0.700 * * * * [pick]: Picked # 0.700 * * * [progress]: localizing error 0.712 * * * [progress]: generating rewritten candidates 0.712 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 3) 0.717 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.718 * * * [progress]: generating series expansions 0.718 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 3) 0.718 * [approximate]: Taking taylor expansion of (+ (pow y 2) (* x y)) in (y x) around 0 0.718 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* x y)) in x 0.718 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.718 * [taylor]: Taking taylor expansion of y in x 0.718 * [taylor]: Taking taylor expansion of (* x y) in x 0.718 * [taylor]: Taking taylor expansion of x in x 0.718 * [taylor]: Taking taylor expansion of y in x 0.718 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* x y)) in y 0.718 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.718 * [taylor]: Taking taylor expansion of y in y 0.718 * [taylor]: Taking taylor expansion of (* x y) in y 0.718 * [taylor]: Taking taylor expansion of x in y 0.718 * [taylor]: Taking taylor expansion of y in y 0.719 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* x y)) in y 0.719 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.719 * [taylor]: Taking taylor expansion of y in y 0.719 * [taylor]: Taking taylor expansion of (* x y) in y 0.719 * [taylor]: Taking taylor expansion of x in y 0.719 * [taylor]: Taking taylor expansion of y in y 0.719 * [taylor]: Taking taylor expansion of 0 in x 0.720 * [taylor]: Taking taylor expansion of x in x 0.721 * [taylor]: Taking taylor expansion of 1 in x 0.722 * [taylor]: Taking taylor expansion of 0 in x 0.724 * [taylor]: Taking taylor expansion of 0 in x 0.724 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (* x y))) in (y x) around 0 0.724 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (* x y))) in x 0.724 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.724 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.724 * [taylor]: Taking taylor expansion of y in x 0.724 * [taylor]: Taking taylor expansion of (/ 1 (* 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 (+ (/ 1 (pow y 2)) (/ 1 (* x y))) in y 0.725 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.725 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.725 * [taylor]: Taking taylor expansion of y in y 0.725 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.726 * [taylor]: Taking taylor expansion of (* x y) in y 0.726 * [taylor]: Taking taylor expansion of x in y 0.726 * [taylor]: Taking taylor expansion of y in y 0.726 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (* x y))) in y 0.726 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.726 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.726 * [taylor]: Taking taylor expansion of y in y 0.726 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.726 * [taylor]: Taking taylor expansion of (* x y) in y 0.726 * [taylor]: Taking taylor expansion of x in y 0.727 * [taylor]: Taking taylor expansion of y in y 0.727 * [taylor]: Taking taylor expansion of 1 in x 0.728 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.728 * [taylor]: Taking taylor expansion of x in x 0.730 * [taylor]: Taking taylor expansion of 0 in x 0.733 * [taylor]: Taking taylor expansion of 0 in x 0.735 * [taylor]: Taking taylor expansion of 0 in x 0.736 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (* x y))) in (y x) around 0 0.736 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (* x y))) in x 0.736 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.736 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.736 * [taylor]: Taking taylor expansion of y in x 0.736 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.736 * [taylor]: Taking taylor expansion of (* x y) in x 0.736 * [taylor]: Taking taylor expansion of x in x 0.736 * [taylor]: Taking taylor expansion of y in x 0.737 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (* x y))) in y 0.737 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.737 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.737 * [taylor]: Taking taylor expansion of y in y 0.737 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.737 * [taylor]: Taking taylor expansion of (* x y) in y 0.737 * [taylor]: Taking taylor expansion of x in y 0.737 * [taylor]: Taking taylor expansion of y in y 0.738 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (* x y))) in y 0.738 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.738 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.738 * [taylor]: Taking taylor expansion of y in y 0.738 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.738 * [taylor]: Taking taylor expansion of (* x y) in y 0.738 * [taylor]: Taking taylor expansion of x in y 0.738 * [taylor]: Taking taylor expansion of y in y 0.739 * [taylor]: Taking taylor expansion of 1 in x 0.740 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.740 * [taylor]: Taking taylor expansion of x in x 0.742 * [taylor]: Taking taylor expansion of 0 in x 0.744 * [taylor]: Taking taylor expansion of 0 in x 0.747 * [taylor]: Taking taylor expansion of 0 in x 0.747 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.748 * [approximate]: Taking taylor expansion of (fma y x (+ (pow y 2) (* x y))) in (y x) around 0 0.748 * [taylor]: Taking taylor expansion of (fma y x (+ (pow y 2) (* x y))) in x 0.748 * [taylor]: Rewrote expression to (+ (* y x) (+ (pow y 2) (* x y))) 0.748 * [taylor]: Taking taylor expansion of (* y x) in x 0.748 * [taylor]: Taking taylor expansion of y in x 0.748 * [taylor]: Taking taylor expansion of x in x 0.748 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* x y)) in x 0.748 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.748 * [taylor]: Taking taylor expansion of y in x 0.748 * [taylor]: Taking taylor expansion of (* x y) in x 0.748 * [taylor]: Taking taylor expansion of x in x 0.748 * [taylor]: Taking taylor expansion of y in x 0.748 * [taylor]: Taking taylor expansion of (fma y x (+ (pow y 2) (* x y))) in y 0.748 * [taylor]: Rewrote expression to (+ (* y x) (+ (pow y 2) (* x y))) 0.748 * [taylor]: Taking taylor expansion of (* y x) in y 0.748 * [taylor]: Taking taylor expansion of y in y 0.748 * [taylor]: Taking taylor expansion of x in y 0.748 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* x y)) in y 0.748 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.748 * [taylor]: Taking taylor expansion of y in y 0.748 * [taylor]: Taking taylor expansion of (* x y) in y 0.748 * [taylor]: Taking taylor expansion of x in y 0.748 * [taylor]: Taking taylor expansion of y in y 0.748 * [taylor]: Taking taylor expansion of (fma y x (+ (pow y 2) (* x y))) in y 0.748 * [taylor]: Rewrote expression to (+ (* y x) (+ (pow y 2) (* x y))) 0.748 * [taylor]: Taking taylor expansion of (* y x) in y 0.748 * [taylor]: Taking taylor expansion of y in y 0.748 * [taylor]: Taking taylor expansion of x in y 0.748 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* x y)) in y 0.748 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.748 * [taylor]: Taking taylor expansion of y in y 0.748 * [taylor]: Taking taylor expansion of (* x y) in y 0.748 * [taylor]: Taking taylor expansion of x in y 0.748 * [taylor]: Taking taylor expansion of y in y 0.749 * [taylor]: Taking taylor expansion of 0 in x 0.750 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.750 * [taylor]: Taking taylor expansion of 2 in x 0.750 * [taylor]: Taking taylor expansion of x in x 0.752 * [taylor]: Taking taylor expansion of 1 in x 0.754 * [taylor]: Taking taylor expansion of 0 in x 0.757 * [taylor]: Taking taylor expansion of 0 in x 0.758 * [approximate]: Taking taylor expansion of (fma (/ 1 y) (/ 1 x) (+ (/ 1 (pow y 2)) (/ 1 (* x y)))) in (y x) around 0 0.758 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 x) (+ (/ 1 (pow y 2)) (/ 1 (* x y)))) in x 0.758 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 x)) (+ (/ 1 (pow y 2)) (/ 1 (* x y)))) 0.758 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in x 0.758 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.758 * [taylor]: Taking taylor expansion of y in x 0.758 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.758 * [taylor]: Taking taylor expansion of x in x 0.758 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (* x y))) in x 0.758 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.758 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.758 * [taylor]: Taking taylor expansion of y in x 0.758 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.758 * [taylor]: Taking taylor expansion of (* x y) in x 0.758 * [taylor]: Taking taylor expansion of x in x 0.758 * [taylor]: Taking taylor expansion of y in x 0.759 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 x) (+ (/ 1 (pow y 2)) (/ 1 (* x y)))) in y 0.759 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 x)) (+ (/ 1 (pow y 2)) (/ 1 (* x y)))) 0.759 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in y 0.759 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.759 * [taylor]: Taking taylor expansion of y in y 0.759 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.759 * [taylor]: Taking taylor expansion of x in y 0.759 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (* x y))) in y 0.759 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.759 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.759 * [taylor]: Taking taylor expansion of y in y 0.760 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.760 * [taylor]: Taking taylor expansion of (* x y) in y 0.760 * [taylor]: Taking taylor expansion of x in y 0.760 * [taylor]: Taking taylor expansion of y in y 0.760 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 x) (+ (/ 1 (pow y 2)) (/ 1 (* x y)))) in y 0.760 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 x)) (+ (/ 1 (pow y 2)) (/ 1 (* x y)))) 0.760 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in y 0.760 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.760 * [taylor]: Taking taylor expansion of y in y 0.761 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.761 * [taylor]: Taking taylor expansion of x in y 0.761 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (* x y))) in y 0.761 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.761 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.761 * [taylor]: Taking taylor expansion of y in y 0.761 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.761 * [taylor]: Taking taylor expansion of (* x y) in y 0.761 * [taylor]: Taking taylor expansion of x in y 0.761 * [taylor]: Taking taylor expansion of y in y 0.762 * [taylor]: Taking taylor expansion of 1 in x 0.763 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.763 * [taylor]: Taking taylor expansion of 2 in x 0.763 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.763 * [taylor]: Taking taylor expansion of x in x 0.766 * [taylor]: Taking taylor expansion of 0 in x 0.770 * [taylor]: Taking taylor expansion of 0 in x 0.775 * [taylor]: Taking taylor expansion of 0 in x 0.776 * [approximate]: Taking taylor expansion of (fma (/ -1 y) (/ -1 x) (+ (/ 1 (pow y 2)) (/ 1 (* x y)))) in (y x) around 0 0.776 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 x) (+ (/ 1 (pow y 2)) (/ 1 (* x y)))) in x 0.776 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 x)) (+ (/ 1 (pow y 2)) (/ 1 (* x y)))) 0.776 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 x)) in x 0.776 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.776 * [taylor]: Taking taylor expansion of -1 in x 0.776 * [taylor]: Taking taylor expansion of y in x 0.776 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.776 * [taylor]: Taking taylor expansion of -1 in x 0.776 * [taylor]: Taking taylor expansion of x in x 0.777 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (* x y))) in x 0.777 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.777 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.777 * [taylor]: Taking taylor expansion of y in x 0.777 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.777 * [taylor]: Taking taylor expansion of (* x y) in x 0.777 * [taylor]: Taking taylor expansion of x in x 0.777 * [taylor]: Taking taylor expansion of y in x 0.777 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 x) (+ (/ 1 (pow y 2)) (/ 1 (* x y)))) in y 0.777 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 x)) (+ (/ 1 (pow y 2)) (/ 1 (* x y)))) 0.777 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 x)) in y 0.777 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.777 * [taylor]: Taking taylor expansion of -1 in y 0.777 * [taylor]: Taking taylor expansion of y in y 0.778 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.778 * [taylor]: Taking taylor expansion of -1 in y 0.778 * [taylor]: Taking taylor expansion of x in y 0.778 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (* x y))) in y 0.778 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.778 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.778 * [taylor]: Taking taylor expansion of y in y 0.778 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.778 * [taylor]: Taking taylor expansion of (* x y) in y 0.778 * [taylor]: Taking taylor expansion of x in y 0.778 * [taylor]: Taking taylor expansion of y in y 0.779 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 x) (+ (/ 1 (pow y 2)) (/ 1 (* x y)))) in y 0.779 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 x)) (+ (/ 1 (pow y 2)) (/ 1 (* x y)))) 0.779 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 x)) in y 0.779 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.779 * [taylor]: Taking taylor expansion of -1 in y 0.779 * [taylor]: Taking taylor expansion of y in y 0.779 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.779 * [taylor]: Taking taylor expansion of -1 in y 0.779 * [taylor]: Taking taylor expansion of x in y 0.779 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (* x y))) in y 0.779 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.779 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.780 * [taylor]: Taking taylor expansion of y in y 0.780 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.780 * [taylor]: Taking taylor expansion of (* x y) in y 0.780 * [taylor]: Taking taylor expansion of x in y 0.780 * [taylor]: Taking taylor expansion of y in y 0.781 * [taylor]: Taking taylor expansion of 1 in x 0.782 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.782 * [taylor]: Taking taylor expansion of 2 in x 0.782 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.782 * [taylor]: Taking taylor expansion of x in x 0.786 * [taylor]: Taking taylor expansion of 0 in x 0.790 * [taylor]: Taking taylor expansion of 0 in x 0.795 * [taylor]: Taking taylor expansion of 0 in x 0.795 * * * [progress]: simplifying candidates 0.799 * [simplify]: Simplifying using # : (expm1 (+ (* y x) (pow y 2))) (log1p (+ (* y x) (pow y 2))) (* (exp (* y x)) (exp (pow y 2))) (log (+ (* y x) (pow y 2))) (exp (+ (* y x) (pow y 2))) (* (cbrt (+ (* y x) (pow y 2))) (cbrt (+ (* y x) (pow y 2)))) (cbrt (+ (* y x) (pow y 2))) (* (* (+ (* y x) (pow y 2)) (+ (* y x) (pow y 2))) (+ (* y x) (pow y 2))) (sqrt (+ (* y x) (pow y 2))) (sqrt (+ (* y x) (pow y 2))) (+ (pow (* y x) 3) (pow (pow y 2) 3)) (+ (* (* y x) (* y x)) (- (* (pow y 2) (pow y 2)) (* (* y x) (pow y 2)))) (- (* (* y x) (* y x)) (* (pow y 2) (pow y 2))) (- (* y x) (pow y 2)) (+ x y) (expm1 (fma y x (+ (* y x) (pow y 2)))) (log1p (fma y x (+ (* y x) (pow y 2)))) (* y x) (log (fma y x (+ (* y x) (pow y 2)))) (exp (fma y x (+ (* y x) (pow y 2)))) (* (cbrt (fma y x (+ (* y x) (pow y 2)))) (cbrt (fma y x (+ (* y x) (pow y 2))))) (cbrt (fma y x (+ (* y x) (pow y 2)))) (* (* (fma y x (+ (* y x) (pow y 2))) (fma y x (+ (* y x) (pow y 2)))) (fma y x (+ (* y x) (pow y 2)))) (sqrt (fma y x (+ (* y x) (pow y 2)))) (sqrt (fma y x (+ (* y x) (pow y 2)))) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) 0.802 * * [simplify]: iteration 0 : 114 enodes (cost 154 ) 0.806 * * [simplify]: iteration 1 : 407 enodes (cost 130 ) 0.816 * * [simplify]: iteration 2 : 1555 enodes (cost 123 ) 0.856 * * [simplify]: iteration 3 : 5002 enodes (cost 118 ) 0.858 * [simplify]: Simplified to: (expm1 (+ (* y x) (pow y 2))) (log1p (+ (* y x) (pow y 2))) (pow (exp y) (+ x y)) (log (+ (* y x) (pow y 2))) (pow (exp y) (+ x y)) (* (cbrt (+ (* y x) (pow y 2))) (cbrt (+ (* y x) (pow y 2)))) (cbrt (+ (* y x) (pow y 2))) (pow (fma y x (pow y 2)) 3) (sqrt (+ (* y x) (pow y 2))) (sqrt (+ (* y x) (pow y 2))) (fma (pow y 5) y (pow (* y x) 3)) (* y (* y (fma x x (* y (- y x))))) (* (pow y 2) (- (* x x) (pow y 2))) (* y (- x y)) (+ x y) (expm1 (fma y x (+ (* y x) (pow y 2)))) (log1p (fma y x (+ (* y x) (pow y 2)))) (* y x) (+ (log y) (log (fma x 2 y))) (exp (* (fma x 2 y) y)) (* (cbrt (fma y x (+ (* y x) (pow y 2)))) (cbrt (fma y x (+ (* y x) (pow y 2))))) (cbrt (fma y x (+ (* y x) (pow y 2)))) (pow (* (fma x 2 y) y) 3) (sqrt (fma y x (+ (* y x) (pow y 2)))) (sqrt (fma y x (+ (* y x) (pow y 2)))) (fma y x (pow y 2)) (fma y x (pow y 2)) (fma y x (pow y 2)) (* (fma x 2 y) y) (* (fma x 2 y) y) (* (fma x 2 y) y) 0.858 * * * [progress]: adding candidates to table 0.931 * [progress]: [Phase 3 of 3] Extracting. 0.931 * * [regime]: Finding splitpoints for: (# #) 0.932 * * * [regime-changes]: Trying 2 branch expressions: (y x) 0.932 * * * * [regimes]: Trying to branch on y from (# #) 0.943 * * * * [regimes]: Trying to branch on x from (# #) 0.957 * * * [regime]: Found split indices: #