28.498 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.020 * [progress]: [Phase 2 of 3] Improving. 0.020 * [simplify]: Simplifying using # : (* (+ x y) (+ x y)) 0.022 * * [simplify]: iteration 0 : 11 enodes (cost 3 ) 0.024 * * [simplify]: iteration 1 : 27 enodes (cost 3 ) 0.025 * * [simplify]: iteration 2 : 66 enodes (cost 3 ) 0.027 * * [simplify]: iteration 3 : 113 enodes (cost 3 ) 0.029 * * [simplify]: iteration 4 : 145 enodes (cost 3 ) 0.031 * * [simplify]: iteration 5 : 165 enodes (cost 3 ) 0.033 * * [simplify]: iteration 6 : 182 enodes (cost 3 ) 0.036 * * [simplify]: iteration 7 : 184 enodes (cost 3 ) 0.038 * * [simplify]: iteration 8 : 184 enodes (cost 3 ) 0.038 * [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 0.045 * * * [progress]: generating rewritten candidates 0.045 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.063 * * * [progress]: generating series expansions 0.063 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.063 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.063 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.063 * [taylor]: Taking taylor expansion of (+ x y) in y 0.063 * [taylor]: Taking taylor expansion of x in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.063 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.063 * [taylor]: Taking taylor expansion of (+ x y) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of y in x 0.063 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.063 * [taylor]: Taking taylor expansion of (+ x y) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of y in x 0.063 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.064 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.064 * [taylor]: Taking taylor expansion of 2 in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.065 * [taylor]: Taking taylor expansion of 1 in y 0.067 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.067 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.067 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.067 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.067 * [taylor]: Taking taylor expansion of y in y 0.067 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.067 * [taylor]: Taking taylor expansion of x in y 0.067 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.067 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.067 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.067 * [taylor]: Taking taylor expansion of y in x 0.067 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.068 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.068 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.068 * [taylor]: Taking taylor expansion of y in x 0.068 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.069 * [taylor]: Taking taylor expansion of 1 in y 0.069 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.069 * [taylor]: Taking taylor expansion of 2 in y 0.069 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.069 * [taylor]: Taking taylor expansion of y in y 0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.071 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.072 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.072 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.072 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.072 * [taylor]: Taking taylor expansion of y in y 0.072 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.072 * [taylor]: Taking taylor expansion of x in y 0.073 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.073 * [taylor]: Taking taylor expansion of y in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.073 * [taylor]: Taking taylor expansion of y in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of 1 in y 0.075 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.075 * [taylor]: Taking taylor expansion of 2 in y 0.075 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.076 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.076 * [taylor]: Taking taylor expansion of y in y 0.077 * * * [progress]: simplifying candidates 0.078 * [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)))) 0.082 * * [simplify]: iteration 0 : 194 enodes (cost 221 ) 0.087 * * [simplify]: iteration 1 : 953 enodes (cost 194 ) 0.112 * * [simplify]: iteration 2 : 5002 enodes (cost 180 ) 0.114 * [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)) 0.114 * * * [progress]: adding candidates to table 0.163 * * [progress]: iteration 2 / 4 0.163 * * * [progress]: picking best candidate 0.165 * * * * [pick]: Picked # 0.165 * * * [progress]: localizing error 0.171 * * * [progress]: generating rewritten candidates 0.171 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.177 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.186 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.197 * * * [progress]: generating series expansions 0.197 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.197 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 0.197 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 0.197 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.197 * [taylor]: Taking taylor expansion of x in y 0.197 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 0.197 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.197 * [taylor]: Taking taylor expansion of y in y 0.197 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 0.197 * [taylor]: Taking taylor expansion of 2 in y 0.197 * [taylor]: Taking taylor expansion of (* x y) in y 0.197 * [taylor]: Taking taylor expansion of x in y 0.197 * [taylor]: Taking taylor expansion of y in y 0.197 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.197 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.197 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.197 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.197 * [taylor]: Taking taylor expansion of y in x 0.197 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.197 * [taylor]: Taking taylor expansion of 2 in x 0.197 * [taylor]: Taking taylor expansion of (* x y) in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.197 * [taylor]: Taking taylor expansion of y in x 0.197 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.197 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.197 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.197 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.197 * [taylor]: Taking taylor expansion of y in x 0.197 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.197 * [taylor]: Taking taylor expansion of 2 in x 0.197 * [taylor]: Taking taylor expansion of (* x y) in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.197 * [taylor]: Taking taylor expansion of y in x 0.198 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.198 * [taylor]: Taking taylor expansion of y in y 0.199 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.199 * [taylor]: Taking taylor expansion of 2 in y 0.199 * [taylor]: Taking taylor expansion of y in y 0.201 * [taylor]: Taking taylor expansion of 1 in y 0.205 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.205 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.206 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.206 * [taylor]: Taking taylor expansion of x in y 0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.206 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.206 * [taylor]: Taking taylor expansion of y in y 0.206 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.206 * [taylor]: Taking taylor expansion of 2 in y 0.206 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.206 * [taylor]: Taking taylor expansion of (* x y) in y 0.206 * [taylor]: Taking taylor expansion of x in y 0.206 * [taylor]: Taking taylor expansion of y in y 0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.207 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.207 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.207 * [taylor]: Taking taylor expansion of y in x 0.207 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.208 * [taylor]: Taking taylor expansion of 2 in x 0.208 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.208 * [taylor]: Taking taylor expansion of (* x y) in x 0.208 * [taylor]: Taking taylor expansion of x in x 0.208 * [taylor]: Taking taylor expansion of y in x 0.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.208 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.208 * [taylor]: Taking taylor expansion of x in x 0.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.208 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.208 * [taylor]: Taking taylor expansion of y in x 0.209 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.209 * [taylor]: Taking taylor expansion of 2 in x 0.209 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.209 * [taylor]: Taking taylor expansion of (* x y) in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.209 * [taylor]: Taking taylor expansion of y in x 0.209 * [taylor]: Taking taylor expansion of 1 in y 0.210 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.210 * [taylor]: Taking taylor expansion of 2 in y 0.210 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.210 * [taylor]: Taking taylor expansion of y in y 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.212 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.212 * [taylor]: Taking taylor expansion of y in y 0.214 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.214 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.214 * [taylor]: Taking taylor expansion of x in y 0.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.214 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.214 * [taylor]: Taking taylor expansion of y in y 0.215 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.215 * [taylor]: Taking taylor expansion of 2 in y 0.215 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.215 * [taylor]: Taking taylor expansion of (* x y) in y 0.215 * [taylor]: Taking taylor expansion of x in y 0.215 * [taylor]: Taking taylor expansion of y in y 0.215 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.215 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.216 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.216 * [taylor]: Taking taylor expansion of y in x 0.216 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.216 * [taylor]: Taking taylor expansion of 2 in x 0.216 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.216 * [taylor]: Taking taylor expansion of (* x y) in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of y in x 0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.216 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.217 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.217 * [taylor]: Taking taylor expansion of y in x 0.217 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.217 * [taylor]: Taking taylor expansion of 2 in x 0.217 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.217 * [taylor]: Taking taylor expansion of (* x y) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of y in x 0.217 * [taylor]: Taking taylor expansion of 1 in y 0.218 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.218 * [taylor]: Taking taylor expansion of 2 in y 0.218 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.218 * [taylor]: Taking taylor expansion of y in y 0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.221 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.221 * [taylor]: Taking taylor expansion of y in y 0.222 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.222 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 0.222 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 0.222 * [taylor]: Taking taylor expansion of x in y 0.222 * [taylor]: Taking taylor expansion of (+ x y) in y 0.222 * [taylor]: Taking taylor expansion of x in y 0.222 * [taylor]: Taking taylor expansion of y in y 0.222 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of (+ x y) in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of y in x 0.222 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of (+ x y) in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of y in x 0.222 * [taylor]: Taking taylor expansion of 0 in y 0.223 * [taylor]: Taking taylor expansion of y in y 0.223 * [taylor]: Taking taylor expansion of 1 in y 0.225 * [taylor]: Taking taylor expansion of 0 in y 0.226 * [taylor]: Taking taylor expansion of 0 in y 0.226 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.226 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.226 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.226 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.226 * [taylor]: Taking taylor expansion of y in y 0.226 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.226 * [taylor]: Taking taylor expansion of x in y 0.226 * [taylor]: Taking taylor expansion of x in y 0.227 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.227 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.227 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.227 * [taylor]: Taking taylor expansion of y in x 0.227 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of x in x 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 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of 1 in y 0.229 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.229 * [taylor]: Taking taylor expansion of y in y 0.231 * [taylor]: Taking taylor expansion of 0 in y 0.234 * [taylor]: Taking taylor expansion of 0 in y 0.236 * [taylor]: Taking taylor expansion of 0 in y 0.237 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.237 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.237 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.237 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.237 * [taylor]: Taking taylor expansion of y in y 0.237 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.237 * [taylor]: Taking taylor expansion of x in y 0.237 * [taylor]: Taking taylor expansion of x in y 0.238 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.238 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.238 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.238 * [taylor]: Taking taylor expansion of y in x 0.238 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.238 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.238 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.238 * [taylor]: Taking taylor expansion of y in x 0.239 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of 1 in y 0.240 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.240 * [taylor]: Taking taylor expansion of y in y 0.242 * [taylor]: Taking taylor expansion of 0 in y 0.244 * [taylor]: Taking taylor expansion of 0 in y 0.247 * [taylor]: Taking taylor expansion of 0 in y 0.247 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.247 * [approximate]: Taking taylor expansion of (* y (+ x y)) in (y x) around 0 0.247 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 0.247 * [taylor]: Taking taylor expansion of y in x 0.247 * [taylor]: Taking taylor expansion of (+ x y) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.248 * [taylor]: Taking taylor expansion of y in x 0.248 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.248 * [taylor]: Taking taylor expansion of y in y 0.248 * [taylor]: Taking taylor expansion of (+ x y) in y 0.248 * [taylor]: Taking taylor expansion of x in y 0.248 * [taylor]: Taking taylor expansion of y in y 0.248 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.248 * [taylor]: Taking taylor expansion of y in y 0.248 * [taylor]: Taking taylor expansion of (+ x y) in y 0.248 * [taylor]: Taking taylor expansion of x in y 0.248 * [taylor]: Taking taylor expansion of y in y 0.248 * [taylor]: Taking taylor expansion of 0 in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.249 * [taylor]: Taking taylor expansion of 1 in x 0.250 * [taylor]: Taking taylor expansion of 0 in x 0.251 * [taylor]: Taking taylor expansion of 0 in x 0.252 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.252 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.252 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.252 * [taylor]: Taking taylor expansion of y in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of y in x 0.252 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.252 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.252 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.252 * [taylor]: Taking taylor expansion of y in y 0.253 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.253 * [taylor]: Taking taylor expansion of x in y 0.253 * [taylor]: Taking taylor expansion of y in y 0.253 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.253 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.253 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.253 * [taylor]: Taking taylor expansion of y in y 0.253 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.253 * [taylor]: Taking taylor expansion of x in y 0.254 * [taylor]: Taking taylor expansion of y in y 0.254 * [taylor]: Taking taylor expansion of 1 in x 0.255 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.257 * [taylor]: Taking taylor expansion of 0 in x 0.259 * [taylor]: Taking taylor expansion of 0 in x 0.262 * [taylor]: Taking taylor expansion of 0 in x 0.263 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.263 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.263 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.263 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.263 * [taylor]: Taking taylor expansion of y in x 0.263 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [taylor]: Taking taylor expansion of y in x 0.263 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.263 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.263 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.264 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.264 * [taylor]: Taking taylor expansion of x in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.264 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.264 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.264 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.265 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.265 * [taylor]: Taking taylor expansion of x in y 0.265 * [taylor]: Taking taylor expansion of y in y 0.265 * [taylor]: Taking taylor expansion of 1 in x 0.266 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.268 * [taylor]: Taking taylor expansion of 0 in x 0.271 * [taylor]: Taking taylor expansion of 0 in x 0.274 * [taylor]: Taking taylor expansion of 0 in x 0.274 * * * [progress]: simplifying candidates 0.275 * [simplify]: Simplifying using # : (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))) (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))) (+ (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)))) (+ (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)) 0.280 * * [simplify]: iteration 0 : 371 enodes (cost 403 ) 0.291 * * [simplify]: iteration 1 : 2121 enodes (cost 342 ) 0.339 * * [simplify]: iteration 2 : 5002 enodes (cost 336 ) 0.341 * [simplify]: Simplified to: (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))) (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))) (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))) (* x (+ x y)) (* x (+ x y)) (* x (+ x y)) (* y (+ x y)) (* y (+ x y)) (* y (+ x y)) 0.341 * * * [progress]: adding candidates to table 0.484 * * [progress]: iteration 3 / 4 0.484 * * * [progress]: picking best candidate 0.487 * * * * [pick]: Picked # 0.487 * * * [progress]: localizing error 0.492 * * * [progress]: generating rewritten candidates 0.492 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.493 * * * * [progress]: [ 2 / 2 ] rewriting at (2 3) 0.506 * * * [progress]: generating series expansions 0.506 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.506 * [approximate]: Taking taylor expansion of (fma x (+ x y) (* y (+ x y))) in (x y) around 0 0.506 * [taylor]: Taking taylor expansion of (fma x (+ x y) (* y (+ x y))) in y 0.506 * [taylor]: Rewrote expression to (+ (* x (+ x y)) (* y (+ x y))) 0.506 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 0.506 * [taylor]: Taking taylor expansion of x in y 0.506 * [taylor]: Taking taylor expansion of (+ x y) in y 0.506 * [taylor]: Taking taylor expansion of x in y 0.506 * [taylor]: Taking taylor expansion of y in y 0.507 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.507 * [taylor]: Taking taylor expansion of y in y 0.507 * [taylor]: Taking taylor expansion of (+ x y) in y 0.507 * [taylor]: Taking taylor expansion of x in y 0.507 * [taylor]: Taking taylor expansion of y in y 0.507 * [taylor]: Taking taylor expansion of (fma x (+ x y) (* y (+ x y))) in x 0.507 * [taylor]: Rewrote expression to (+ (* x (+ x y)) (* y (+ x y))) 0.507 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of (+ x y) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of y in x 0.507 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 0.507 * [taylor]: Taking taylor expansion of y in x 0.507 * [taylor]: Taking taylor expansion of (+ x y) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of y in x 0.507 * [taylor]: Taking taylor expansion of (fma x (+ x y) (* y (+ x y))) in x 0.507 * [taylor]: Rewrote expression to (+ (* x (+ x y)) (* y (+ x y))) 0.507 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of (+ x y) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of y in x 0.507 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 0.507 * [taylor]: Taking taylor expansion of y in x 0.507 * [taylor]: Taking taylor expansion of (+ x y) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of y in x 0.507 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.507 * [taylor]: Taking taylor expansion of y in y 0.508 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.508 * [taylor]: Taking taylor expansion of 2 in y 0.509 * [taylor]: Taking taylor expansion of y in y 0.510 * [taylor]: Taking taylor expansion of 1 in y 0.512 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (+ (/ 1 y) (/ 1 x)) (/ (+ (/ 1 y) (/ 1 x)) y)) in (x y) around 0 0.512 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (+ (/ 1 y) (/ 1 x)) (/ (+ (/ 1 y) (/ 1 x)) y)) in y 0.512 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (+ (/ 1 y) (/ 1 x))) (/ (+ (/ 1 y) (/ 1 x)) y)) 0.512 * [taylor]: Taking taylor expansion of (* (/ 1 x) (+ (/ 1 y) (/ 1 x))) in y 0.512 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.512 * [taylor]: Taking taylor expansion of x in y 0.512 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.512 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.512 * [taylor]: Taking taylor expansion of y in y 0.512 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.512 * [taylor]: Taking taylor expansion of x in y 0.512 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.512 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.512 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.512 * [taylor]: Taking taylor expansion of y in y 0.512 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.512 * [taylor]: Taking taylor expansion of x in y 0.512 * [taylor]: Taking taylor expansion of y in y 0.513 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (+ (/ 1 y) (/ 1 x)) (/ (+ (/ 1 y) (/ 1 x)) y)) in x 0.513 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (+ (/ 1 y) (/ 1 x))) (/ (+ (/ 1 y) (/ 1 x)) y)) 0.513 * [taylor]: Taking taylor expansion of (* (/ 1 x) (+ (/ 1 y) (/ 1 x))) in x 0.513 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.513 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.513 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.513 * [taylor]: Taking taylor expansion of y in x 0.513 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.514 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.514 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.514 * [taylor]: Taking taylor expansion of y in x 0.514 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of y in x 0.514 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (+ (/ 1 y) (/ 1 x)) (/ (+ (/ 1 y) (/ 1 x)) y)) in x 0.514 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (+ (/ 1 y) (/ 1 x))) (/ (+ (/ 1 y) (/ 1 x)) y)) 0.515 * [taylor]: Taking taylor expansion of (* (/ 1 x) (+ (/ 1 y) (/ 1 x))) in x 0.515 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.515 * [taylor]: Taking taylor expansion of x in x 0.515 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.515 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.515 * [taylor]: Taking taylor expansion of y in x 0.515 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.515 * [taylor]: Taking taylor expansion of x in x 0.515 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.515 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.515 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.515 * [taylor]: Taking taylor expansion of y in x 0.515 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.515 * [taylor]: Taking taylor expansion of x in x 0.515 * [taylor]: Taking taylor expansion of y in x 0.517 * [taylor]: Taking taylor expansion of 1 in y 0.518 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.518 * [taylor]: Taking taylor expansion of 2 in y 0.518 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.518 * [taylor]: Taking taylor expansion of y in y 0.520 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.520 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.520 * [taylor]: Taking taylor expansion of y in y 0.522 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (- (+ (/ 1 y) (/ 1 x))) (/ (+ (/ 1 y) (/ 1 x)) y)) in (x y) around 0 0.522 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (- (+ (/ 1 y) (/ 1 x))) (/ (+ (/ 1 y) (/ 1 x)) y)) in y 0.522 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (- (+ (/ 1 y) (/ 1 x)))) (/ (+ (/ 1 y) (/ 1 x)) y)) 0.522 * [taylor]: Taking taylor expansion of (* (/ -1 x) (- (+ (/ 1 y) (/ 1 x)))) in y 0.522 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.522 * [taylor]: Taking taylor expansion of -1 in y 0.522 * [taylor]: Taking taylor expansion of x in y 0.522 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in y 0.522 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.522 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.522 * [taylor]: Taking taylor expansion of y in y 0.523 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.523 * [taylor]: Taking taylor expansion of x in y 0.523 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.523 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.523 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.523 * [taylor]: Taking taylor expansion of y in y 0.523 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.523 * [taylor]: Taking taylor expansion of x in y 0.523 * [taylor]: Taking taylor expansion of y in y 0.524 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (- (+ (/ 1 y) (/ 1 x))) (/ (+ (/ 1 y) (/ 1 x)) y)) in x 0.524 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (- (+ (/ 1 y) (/ 1 x)))) (/ (+ (/ 1 y) (/ 1 x)) y)) 0.524 * [taylor]: Taking taylor expansion of (* (/ -1 x) (- (+ (/ 1 y) (/ 1 x)))) in x 0.524 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.524 * [taylor]: Taking taylor expansion of -1 in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.524 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 0.524 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.524 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.524 * [taylor]: Taking taylor expansion of y in x 0.524 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.524 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.524 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.524 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.524 * [taylor]: Taking taylor expansion of y in x 0.524 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.525 * [taylor]: Taking taylor expansion of y in x 0.525 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (- (+ (/ 1 y) (/ 1 x))) (/ (+ (/ 1 y) (/ 1 x)) y)) in x 0.525 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (- (+ (/ 1 y) (/ 1 x)))) (/ (+ (/ 1 y) (/ 1 x)) y)) 0.525 * [taylor]: Taking taylor expansion of (* (/ -1 x) (- (+ (/ 1 y) (/ 1 x)))) in x 0.525 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.525 * [taylor]: Taking taylor expansion of -1 in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.526 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 0.526 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.526 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.526 * [taylor]: Taking taylor expansion of y in x 0.526 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.526 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.526 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.526 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.526 * [taylor]: Taking taylor expansion of y in x 0.526 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.526 * [taylor]: Taking taylor expansion of y in x 0.528 * [taylor]: Taking taylor expansion of 1 in y 0.529 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.529 * [taylor]: Taking taylor expansion of 2 in y 0.529 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.529 * [taylor]: Taking taylor expansion of y in y 0.532 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.532 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.532 * [taylor]: Taking taylor expansion of y in y 0.534 * * * * [progress]: [ 2 / 2 ] generating series at (2 3) 0.534 * [approximate]: Taking taylor expansion of (* y (+ x y)) in (y x) around 0 0.534 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 0.534 * [taylor]: Taking taylor expansion of y in x 0.534 * [taylor]: Taking taylor expansion of (+ x y) in x 0.534 * [taylor]: Taking taylor expansion of x in x 0.534 * [taylor]: Taking taylor expansion of y in x 0.534 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.534 * [taylor]: Taking taylor expansion of y in y 0.534 * [taylor]: Taking taylor expansion of (+ x y) in y 0.534 * [taylor]: Taking taylor expansion of x in y 0.534 * [taylor]: Taking taylor expansion of y in y 0.534 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.534 * [taylor]: Taking taylor expansion of y in y 0.534 * [taylor]: Taking taylor expansion of (+ x y) in y 0.534 * [taylor]: Taking taylor expansion of x in y 0.534 * [taylor]: Taking taylor expansion of y in y 0.534 * [taylor]: Taking taylor expansion of 0 in x 0.535 * [taylor]: Taking taylor expansion of x in x 0.536 * [taylor]: Taking taylor expansion of 1 in x 0.537 * [taylor]: Taking taylor expansion of 0 in x 0.538 * [taylor]: Taking taylor expansion of 0 in x 0.538 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.538 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.538 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.538 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.538 * [taylor]: Taking taylor expansion of y in x 0.538 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.538 * [taylor]: Taking taylor expansion of x in x 0.539 * [taylor]: Taking taylor expansion of y in x 0.539 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.539 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.539 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.539 * [taylor]: Taking taylor expansion of y in y 0.539 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.539 * [taylor]: Taking taylor expansion of x in y 0.539 * [taylor]: Taking taylor expansion of y in y 0.540 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.540 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.540 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.540 * [taylor]: Taking taylor expansion of y in y 0.540 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.540 * [taylor]: Taking taylor expansion of x in y 0.540 * [taylor]: Taking taylor expansion of y in y 0.541 * [taylor]: Taking taylor expansion of 1 in x 0.542 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.542 * [taylor]: Taking taylor expansion of x in x 0.544 * [taylor]: Taking taylor expansion of 0 in x 0.546 * [taylor]: Taking taylor expansion of 0 in x 0.549 * [taylor]: Taking taylor expansion of 0 in x 0.549 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.549 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.549 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.549 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.549 * [taylor]: Taking taylor expansion of y in x 0.549 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.549 * [taylor]: Taking taylor expansion of y in x 0.550 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.550 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.550 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.550 * [taylor]: Taking taylor expansion of y in y 0.550 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.550 * [taylor]: Taking taylor expansion of x in y 0.550 * [taylor]: Taking taylor expansion of y in y 0.551 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.551 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.551 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.551 * [taylor]: Taking taylor expansion of y in y 0.551 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.551 * [taylor]: Taking taylor expansion of x in y 0.551 * [taylor]: Taking taylor expansion of y in y 0.552 * [taylor]: Taking taylor expansion of 1 in x 0.552 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.552 * [taylor]: Taking taylor expansion of x in x 0.554 * [taylor]: Taking taylor expansion of 0 in x 0.556 * [taylor]: Taking taylor expansion of 0 in x 0.559 * [taylor]: Taking taylor expansion of 0 in x 0.560 * * * [progress]: simplifying candidates 0.560 * [simplify]: Simplifying using # : (expm1 (fma x (+ x y) (* y (+ x y)))) (log1p (fma x (+ x y) (* y (+ x y)))) (* x (+ x y)) (log (fma x (+ x y) (* y (+ x y)))) (exp (fma x (+ x y) (* y (+ x y)))) (* (cbrt (fma x (+ x y) (* y (+ x y)))) (cbrt (fma x (+ x y) (* y (+ x y))))) (cbrt (fma x (+ x y) (* y (+ x y)))) (* (* (fma x (+ x y) (* y (+ x y))) (fma x (+ x y) (* y (+ x y)))) (fma x (+ x y) (* y (+ x y)))) (sqrt (fma x (+ x y) (* y (+ x y)))) (sqrt (fma x (+ x y) (* y (+ x 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))) (+ (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)))) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) 0.564 * * [simplify]: iteration 0 : 152 enodes (cost 170 ) 0.568 * * [simplify]: iteration 1 : 704 enodes (cost 139 ) 0.585 * * [simplify]: iteration 2 : 3772 enodes (cost 134 ) 0.658 * * [simplify]: iteration 3 : 5001 enodes (cost 131 ) 0.659 * [simplify]: Simplified to: (expm1 (fma x (+ x y) (* y (+ x y)))) (log1p (fma x (+ x y) (* y (+ x y)))) (* x (+ x y)) (* 2 (log (+ x y))) (pow (exp (+ x y)) (+ x y)) (* (cbrt (fma x (+ x y) (* y (+ x y)))) (cbrt (fma x (+ x y) (* y (+ x y))))) (cbrt (fma x (+ x y) (* y (+ x y)))) (pow (+ x y) 6) (fabs (+ x y)) (fabs (+ x 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 (+ 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))) (fma (fma x 2 y) y (pow x 2)) (fma (fma x 2 y) y (pow x 2)) (fma (fma x 2 y) y (pow x 2)) (* y (+ x y)) (* y (+ x y)) (* y (+ x y)) 0.659 * * * [progress]: adding candidates to table 0.735 * * [progress]: iteration 4 / 4 0.735 * * * [progress]: picking best candidate 0.737 * * * * [pick]: Picked # 0.737 * * * [progress]: localizing error 0.744 * * * [progress]: generating rewritten candidates 0.744 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.745 * * * [progress]: generating series expansions 0.745 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.745 * [approximate]: Taking taylor expansion of (fma (fma x 2 y) y (pow x 2)) in (x y) around 0 0.745 * [taylor]: Taking taylor expansion of (fma (fma x 2 y) y (pow x 2)) in y 0.745 * [taylor]: Rewrote expression to (+ (* (fma x 2 y) y) (pow x 2)) 0.745 * [taylor]: Taking taylor expansion of (* (fma x 2 y) y) in y 0.745 * [taylor]: Taking taylor expansion of (fma x 2 y) in y 0.745 * [taylor]: Rewrote expression to (+ (* x 2) y) 0.745 * [taylor]: Taking taylor expansion of (* x 2) in y 0.745 * [taylor]: Taking taylor expansion of x in y 0.745 * [taylor]: Taking taylor expansion of 2 in y 0.745 * [taylor]: Taking taylor expansion of y in y 0.745 * [taylor]: Taking taylor expansion of y in y 0.745 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.745 * [taylor]: Taking taylor expansion of x in y 0.745 * [taylor]: Taking taylor expansion of (fma (fma x 2 y) y (pow x 2)) in x 0.746 * [taylor]: Rewrote expression to (+ (* (fma x 2 y) y) (pow x 2)) 0.746 * [taylor]: Taking taylor expansion of (* (fma x 2 y) y) in x 0.746 * [taylor]: Taking taylor expansion of (fma x 2 y) in x 0.746 * [taylor]: Rewrote expression to (+ (* x 2) y) 0.746 * [taylor]: Taking taylor expansion of (* x 2) in x 0.746 * [taylor]: Taking taylor expansion of x in x 0.746 * [taylor]: Taking taylor expansion of 2 in x 0.746 * [taylor]: Taking taylor expansion of y in x 0.746 * [taylor]: Taking taylor expansion of y in x 0.746 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.746 * [taylor]: Taking taylor expansion of x in x 0.746 * [taylor]: Taking taylor expansion of (fma (fma x 2 y) y (pow x 2)) in x 0.746 * [taylor]: Rewrote expression to (+ (* (fma x 2 y) y) (pow x 2)) 0.746 * [taylor]: Taking taylor expansion of (* (fma x 2 y) y) in x 0.746 * [taylor]: Taking taylor expansion of (fma x 2 y) in x 0.746 * [taylor]: Rewrote expression to (+ (* x 2) y) 0.746 * [taylor]: Taking taylor expansion of (* x 2) in x 0.746 * [taylor]: Taking taylor expansion of x in x 0.746 * [taylor]: Taking taylor expansion of 2 in x 0.746 * [taylor]: Taking taylor expansion of y in x 0.746 * [taylor]: Taking taylor expansion of y in x 0.746 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.746 * [taylor]: Taking taylor expansion of x in x 0.747 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.747 * [taylor]: Taking taylor expansion of y in y 0.748 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.748 * [taylor]: Taking taylor expansion of 2 in y 0.748 * [taylor]: Taking taylor expansion of y in y 0.749 * [taylor]: Taking taylor expansion of 1 in y 0.750 * [approximate]: Taking taylor expansion of (fma (fma (/ 1 x) 2 (/ 1 y)) (/ 1 y) (pow (/ 1 x) 2)) in (x y) around 0 0.751 * [taylor]: Taking taylor expansion of (fma (fma (/ 1 x) 2 (/ 1 y)) (/ 1 y) (pow (/ 1 x) 2)) in y 0.751 * [taylor]: Rewrote expression to (+ (* (fma (/ 1 x) 2 (/ 1 y)) (/ 1 y)) (pow (/ 1 x) 2)) 0.751 * [taylor]: Taking taylor expansion of (* (fma (/ 1 x) 2 (/ 1 y)) (/ 1 y)) in y 0.751 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 2 (/ 1 y)) in y 0.751 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 2) (/ 1 y)) 0.751 * [taylor]: Taking taylor expansion of (* (/ 1 x) 2) in y 0.751 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.751 * [taylor]: Taking taylor expansion of x in y 0.751 * [taylor]: Taking taylor expansion of 2 in y 0.751 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.751 * [taylor]: Taking taylor expansion of y in y 0.751 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.751 * [taylor]: Taking taylor expansion of y in y 0.751 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 2) in y 0.751 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.751 * [taylor]: Taking taylor expansion of x in y 0.751 * [taylor]: Taking taylor expansion of (fma (fma (/ 1 x) 2 (/ 1 y)) (/ 1 y) (pow (/ 1 x) 2)) in x 0.752 * [taylor]: Rewrote expression to (+ (* (fma (/ 1 x) 2 (/ 1 y)) (/ 1 y)) (pow (/ 1 x) 2)) 0.752 * [taylor]: Taking taylor expansion of (* (fma (/ 1 x) 2 (/ 1 y)) (/ 1 y)) in x 0.752 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 2 (/ 1 y)) in x 0.752 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 2) (/ 1 y)) 0.752 * [taylor]: Taking taylor expansion of (* (/ 1 x) 2) in x 0.752 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.752 * [taylor]: Taking taylor expansion of x in x 0.752 * [taylor]: Taking taylor expansion of 2 in x 0.752 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.752 * [taylor]: Taking taylor expansion of y in x 0.752 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.752 * [taylor]: Taking taylor expansion of y in x 0.752 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 2) in x 0.752 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.752 * [taylor]: Taking taylor expansion of x in x 0.752 * [taylor]: Taking taylor expansion of (fma (fma (/ 1 x) 2 (/ 1 y)) (/ 1 y) (pow (/ 1 x) 2)) in x 0.753 * [taylor]: Rewrote expression to (+ (* (fma (/ 1 x) 2 (/ 1 y)) (/ 1 y)) (pow (/ 1 x) 2)) 0.753 * [taylor]: Taking taylor expansion of (* (fma (/ 1 x) 2 (/ 1 y)) (/ 1 y)) in x 0.753 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 2 (/ 1 y)) in x 0.753 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 2) (/ 1 y)) 0.753 * [taylor]: Taking taylor expansion of (* (/ 1 x) 2) in x 0.753 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.753 * [taylor]: Taking taylor expansion of x in x 0.753 * [taylor]: Taking taylor expansion of 2 in x 0.753 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.753 * [taylor]: Taking taylor expansion of y in x 0.753 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.753 * [taylor]: Taking taylor expansion of y in x 0.753 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 2) in x 0.753 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.753 * [taylor]: Taking taylor expansion of x in x 0.754 * [taylor]: Taking taylor expansion of 1 in y 0.755 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.755 * [taylor]: Taking taylor expansion of 2 in y 0.755 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.755 * [taylor]: Taking taylor expansion of y in y 0.758 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.758 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.758 * [taylor]: Taking taylor expansion of y in y 0.759 * [approximate]: Taking taylor expansion of (fma (fma (/ -1 x) 2 (/ -1 y)) (/ -1 y) (pow (/ -1 x) 2)) in (x y) around 0 0.759 * [taylor]: Taking taylor expansion of (fma (fma (/ -1 x) 2 (/ -1 y)) (/ -1 y) (pow (/ -1 x) 2)) in y 0.759 * [taylor]: Rewrote expression to (+ (* (fma (/ -1 x) 2 (/ -1 y)) (/ -1 y)) (pow (/ -1 x) 2)) 0.759 * [taylor]: Taking taylor expansion of (* (fma (/ -1 x) 2 (/ -1 y)) (/ -1 y)) in y 0.759 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 2 (/ -1 y)) in y 0.759 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 2) (/ -1 y)) 0.759 * [taylor]: Taking taylor expansion of (* (/ -1 x) 2) in y 0.759 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.759 * [taylor]: Taking taylor expansion of -1 in y 0.759 * [taylor]: Taking taylor expansion of x in y 0.759 * [taylor]: Taking taylor expansion of 2 in y 0.759 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.759 * [taylor]: Taking taylor expansion of -1 in y 0.760 * [taylor]: Taking taylor expansion of y in y 0.760 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.760 * [taylor]: Taking taylor expansion of -1 in y 0.760 * [taylor]: Taking taylor expansion of y in y 0.760 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 2) in y 0.760 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.760 * [taylor]: Taking taylor expansion of -1 in y 0.760 * [taylor]: Taking taylor expansion of x in y 0.760 * [taylor]: Taking taylor expansion of (fma (fma (/ -1 x) 2 (/ -1 y)) (/ -1 y) (pow (/ -1 x) 2)) in x 0.760 * [taylor]: Rewrote expression to (+ (* (fma (/ -1 x) 2 (/ -1 y)) (/ -1 y)) (pow (/ -1 x) 2)) 0.760 * [taylor]: Taking taylor expansion of (* (fma (/ -1 x) 2 (/ -1 y)) (/ -1 y)) in x 0.760 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 2 (/ -1 y)) in x 0.761 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 2) (/ -1 y)) 0.761 * [taylor]: Taking taylor expansion of (* (/ -1 x) 2) in x 0.761 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.761 * [taylor]: Taking taylor expansion of -1 in x 0.761 * [taylor]: Taking taylor expansion of x in x 0.761 * [taylor]: Taking taylor expansion of 2 in x 0.761 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.761 * [taylor]: Taking taylor expansion of -1 in x 0.761 * [taylor]: Taking taylor expansion of y in x 0.761 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.761 * [taylor]: Taking taylor expansion of -1 in x 0.761 * [taylor]: Taking taylor expansion of y in x 0.761 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 2) in x 0.761 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.761 * [taylor]: Taking taylor expansion of -1 in x 0.761 * [taylor]: Taking taylor expansion of x in x 0.762 * [taylor]: Taking taylor expansion of (fma (fma (/ -1 x) 2 (/ -1 y)) (/ -1 y) (pow (/ -1 x) 2)) in x 0.762 * [taylor]: Rewrote expression to (+ (* (fma (/ -1 x) 2 (/ -1 y)) (/ -1 y)) (pow (/ -1 x) 2)) 0.762 * [taylor]: Taking taylor expansion of (* (fma (/ -1 x) 2 (/ -1 y)) (/ -1 y)) in x 0.762 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 2 (/ -1 y)) in x 0.762 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 2) (/ -1 y)) 0.762 * [taylor]: Taking taylor expansion of (* (/ -1 x) 2) in x 0.762 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.762 * [taylor]: Taking taylor expansion of -1 in x 0.762 * [taylor]: Taking taylor expansion of x in x 0.762 * [taylor]: Taking taylor expansion of 2 in x 0.762 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.762 * [taylor]: Taking taylor expansion of -1 in x 0.762 * [taylor]: Taking taylor expansion of y in x 0.762 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.762 * [taylor]: Taking taylor expansion of -1 in x 0.762 * [taylor]: Taking taylor expansion of y in x 0.762 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 2) in x 0.762 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.762 * [taylor]: Taking taylor expansion of -1 in x 0.762 * [taylor]: Taking taylor expansion of x in x 0.763 * [taylor]: Taking taylor expansion of 1 in y 0.765 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.765 * [taylor]: Taking taylor expansion of 2 in y 0.765 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.765 * [taylor]: Taking taylor expansion of y in y 0.767 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.767 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.767 * [taylor]: Taking taylor expansion of y in y 0.768 * * * [progress]: simplifying candidates 0.769 * [simplify]: Simplifying using # : (expm1 (fma (fma x 2 y) y (pow x 2))) (log1p (fma (fma x 2 y) y (pow x 2))) (* (fma x 2 y) y) (log (fma (fma x 2 y) y (pow x 2))) (exp (fma (fma x 2 y) y (pow x 2))) (* (cbrt (fma (fma x 2 y) y (pow x 2))) (cbrt (fma (fma x 2 y) y (pow x 2)))) (cbrt (fma (fma x 2 y) y (pow x 2))) (* (* (fma (fma x 2 y) y (pow x 2)) (fma (fma x 2 y) y (pow x 2))) (fma (fma x 2 y) y (pow x 2))) (sqrt (fma (fma x 2 y) y (pow x 2))) (sqrt (fma (fma x 2 y) y (pow x 2))) (+ (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)))) 0.772 * * [simplify]: iteration 0 : 41 enodes (cost 68 ) 0.773 * * [simplify]: iteration 1 : 101 enodes (cost 52 ) 0.776 * * [simplify]: iteration 2 : 472 enodes (cost 52 ) 0.787 * * [simplify]: iteration 3 : 2627 enodes (cost 52 ) 0.866 * * [simplify]: iteration 4 : 5003 enodes (cost 52 ) 0.867 * [simplify]: Simplified to: (expm1 (fma (fma x 2 y) y (pow x 2))) (log1p (fma (fma x 2 y) y (pow x 2))) (* (fma x 2 y) y) (log (fma (fma x 2 y) y (pow x 2))) (exp (fma (fma x 2 y) y (pow x 2))) (* (cbrt (fma (fma x 2 y) y (pow x 2))) (cbrt (fma (fma x 2 y) y (pow x 2)))) (cbrt (fma (fma x 2 y) y (pow x 2))) (pow (fma (fma x 2 y) y (pow x 2)) 3) (sqrt (fma (fma x 2 y) y (pow x 2))) (sqrt (fma (fma x 2 y) y (pow x 2))) (fma (fma x 2 y) y (pow x 2)) (fma (fma x 2 y) y (pow x 2)) (fma (fma x 2 y) y (pow x 2)) 0.867 * * * [progress]: adding candidates to table 0.897 * [progress]: [Phase 3 of 3] Extracting. 0.897 * * [regime]: Finding splitpoints for: (# #) 0.898 * * * [regime-changes]: Trying 4 branch expressions: ((+ x y) (* (+ x y) (+ x y)) y x) 0.898 * * * * [regimes]: Trying to branch on (+ x y) from (# #) 0.908 * * * * [regimes]: Trying to branch on (* (+ x y) (+ x y)) from (# #) 0.919 * * * * [regimes]: Trying to branch on y from (# #) 0.934 * * * * [regimes]: Trying to branch on x from (# #) 0.945 * * * [regime]: Found split indices: #