6.022 * [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. 0.021 * [simplify]: Simplifying using # : (* (+ x y) (+ x y)) 0.024 * * [simplify]: iteration 0 : 11 enodes (cost 3 ) 0.025 * * [simplify]: iteration 1 : 27 enodes (cost 3 ) 0.028 * * [simplify]: iteration 2 : 66 enodes (cost 3 ) 0.030 * * [simplify]: iteration 3 : 113 enodes (cost 3 ) 0.033 * * [simplify]: iteration 4 : 145 enodes (cost 3 ) 0.036 * * [simplify]: iteration 5 : 165 enodes (cost 3 ) 0.039 * * [simplify]: iteration 6 : 182 enodes (cost 3 ) 0.042 * * [simplify]: iteration 7 : 184 enodes (cost 3 ) 0.045 * * [simplify]: iteration 8 : 184 enodes (cost 3 ) 0.045 * [simplify]: Simplified to: (* (+ x y) (+ x y)) 0.045 * * [progress]: iteration 1 / 4 0.045 * * * [progress]: picking best candidate 0.047 * * * * [pick]: Picked # 0.047 * * * [progress]: localizing error 0.050 * * * [progress]: generating rewritten candidates 0.050 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.060 * * * [progress]: generating series expansions 0.060 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.060 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.060 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.060 * [taylor]: Taking taylor expansion of (+ x y) in y 0.060 * [taylor]: Taking taylor expansion of x in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.060 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.060 * [taylor]: Taking taylor expansion of (+ x y) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of y in x 0.060 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.060 * [taylor]: Taking taylor expansion of (+ x y) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of y in x 0.061 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.061 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.061 * [taylor]: Taking taylor expansion of 2 in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.062 * [taylor]: Taking taylor expansion of 1 in y 0.063 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.063 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.063 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.063 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.064 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.064 * [taylor]: Taking taylor expansion of x in y 0.064 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.065 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.065 * [taylor]: Taking taylor expansion of y in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.067 * [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 0.069 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.069 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.069 * [taylor]: Taking taylor expansion of y in y 0.070 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.071 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.071 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.071 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.071 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.071 * [taylor]: Taking taylor expansion of x in y 0.071 * [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 (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.072 * [taylor]: Taking taylor expansion of y in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of 1 in y 0.074 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.074 * [taylor]: Taking taylor expansion of 2 in y 0.074 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.075 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.077 * * * [progress]: simplifying candidates 0.077 * [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 ) 0.088 * * [simplify]: iteration 1 : 953 enodes (cost 194 ) 0.117 * * [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)) 0.119 * * * [progress]: adding candidates to table 0.174 * * [progress]: iteration 2 / 4 0.174 * * * [progress]: picking best candidate 0.179 * * * * [pick]: Picked # 0.179 * * * [progress]: localizing error 0.185 * * * [progress]: generating rewritten candidates 0.185 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.191 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.198 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.206 * * * [progress]: generating series expansions 0.206 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.206 * [approximate]: Taking taylor expansion of (* y (+ x y)) in (y x) around 0 0.206 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 0.206 * [taylor]: Taking taylor expansion of y in x 0.206 * [taylor]: Taking taylor expansion of (+ x y) in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.206 * [taylor]: Taking taylor expansion of y in x 0.206 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.206 * [taylor]: Taking taylor expansion of y in y 0.207 * [taylor]: Taking taylor expansion of (+ x y) in y 0.207 * [taylor]: Taking taylor expansion of x in y 0.207 * [taylor]: Taking taylor expansion of y in y 0.207 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.207 * [taylor]: Taking taylor expansion of y in y 0.207 * [taylor]: Taking taylor expansion of (+ x y) in y 0.207 * [taylor]: Taking taylor expansion of x in y 0.207 * [taylor]: Taking taylor expansion of y in y 0.207 * [taylor]: Taking taylor expansion of 0 in x 0.208 * [taylor]: Taking taylor expansion of x in x 0.208 * [taylor]: Taking taylor expansion of 1 in x 0.210 * [taylor]: Taking taylor expansion of 0 in x 0.211 * [taylor]: Taking taylor expansion of 0 in x 0.211 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.211 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.212 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.212 * [taylor]: Taking taylor expansion of y in x 0.212 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of y in x 0.212 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.212 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.212 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.212 * [taylor]: Taking taylor expansion of y in y 0.213 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.213 * [taylor]: Taking taylor expansion of x in y 0.213 * [taylor]: Taking taylor expansion of y in y 0.213 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.213 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.213 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.213 * [taylor]: Taking taylor expansion of y in y 0.214 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.214 * [taylor]: Taking taylor expansion of x in y 0.214 * [taylor]: Taking taylor expansion of y in y 0.214 * [taylor]: Taking taylor expansion of 1 in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of 0 in x 0.220 * [taylor]: Taking taylor expansion of 0 in x 0.226 * [taylor]: Taking taylor expansion of 0 in x 0.227 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.227 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) 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 y in x 0.228 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.228 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.228 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.228 * [taylor]: Taking taylor expansion of y in y 0.228 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.228 * [taylor]: Taking taylor expansion of x in y 0.228 * [taylor]: Taking taylor expansion of y in y 0.228 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.228 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.228 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.228 * [taylor]: Taking taylor expansion of y in y 0.229 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.229 * [taylor]: Taking taylor expansion of x in y 0.229 * [taylor]: Taking taylor expansion of y in y 0.229 * [taylor]: Taking taylor expansion of 1 in x 0.230 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.232 * [taylor]: Taking taylor expansion of 0 in x 0.235 * [taylor]: Taking taylor expansion of 0 in x 0.238 * [taylor]: Taking taylor expansion of 0 in x 0.238 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.238 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 0.238 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 0.238 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.238 * [taylor]: Taking taylor expansion of x in y 0.238 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 0.239 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.239 * [taylor]: Taking taylor expansion of y in y 0.239 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 0.239 * [taylor]: Taking taylor expansion of 2 in y 0.239 * [taylor]: Taking taylor expansion of (* x y) in y 0.239 * [taylor]: Taking taylor expansion of x in y 0.239 * [taylor]: Taking taylor expansion of y in y 0.239 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.239 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.239 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.239 * [taylor]: Taking taylor expansion of y in x 0.239 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.239 * [taylor]: Taking taylor expansion of 2 in x 0.239 * [taylor]: Taking taylor expansion of (* x y) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of y in x 0.239 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.239 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.239 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.239 * [taylor]: Taking taylor expansion of y in x 0.239 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.239 * [taylor]: Taking taylor expansion of 2 in x 0.239 * [taylor]: Taking taylor expansion of (* x y) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of y in x 0.240 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.240 * [taylor]: Taking taylor expansion of y in y 0.240 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.240 * [taylor]: Taking taylor expansion of 2 in y 0.241 * [taylor]: Taking taylor expansion of y in y 0.243 * [taylor]: Taking taylor expansion of 1 in y 0.244 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.244 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.244 * [taylor]: Taking taylor expansion of x in y 0.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.244 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.244 * [taylor]: Taking taylor expansion of y in y 0.245 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.245 * [taylor]: Taking taylor expansion of 2 in y 0.245 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.245 * [taylor]: Taking taylor expansion of (* x y) in y 0.245 * [taylor]: Taking taylor expansion of x in y 0.245 * [taylor]: Taking taylor expansion of y in y 0.245 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.246 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.246 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.246 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.246 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.246 * [taylor]: Taking taylor expansion of y in x 0.246 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.246 * [taylor]: Taking taylor expansion of 2 in x 0.246 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.246 * [taylor]: Taking taylor expansion of (* x y) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of y in x 0.247 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.247 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.247 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.247 * [taylor]: Taking taylor expansion of y in x 0.248 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.248 * [taylor]: Taking taylor expansion of 2 in x 0.248 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.248 * [taylor]: Taking taylor expansion of (* x y) in x 0.248 * [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 1 in y 0.249 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.250 * [taylor]: Taking taylor expansion of 2 in y 0.250 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.250 * [taylor]: Taking taylor expansion of y in y 0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.252 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.252 * [taylor]: Taking taylor expansion of y in y 0.254 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.254 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.254 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.254 * [taylor]: Taking taylor expansion of x in y 0.254 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.254 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.254 * [taylor]: Taking taylor expansion of y in y 0.254 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.255 * [taylor]: Taking taylor expansion of 2 in y 0.255 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.255 * [taylor]: Taking taylor expansion of (* x y) in y 0.255 * [taylor]: Taking taylor expansion of x in y 0.255 * [taylor]: Taking taylor expansion of y in y 0.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.255 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.256 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.256 * [taylor]: Taking taylor expansion of y in x 0.256 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.256 * [taylor]: Taking taylor expansion of 2 in x 0.256 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.256 * [taylor]: Taking taylor expansion of (* x y) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.256 * [taylor]: Taking taylor expansion of y in x 0.256 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.256 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.257 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.257 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.257 * [taylor]: Taking taylor expansion of y in x 0.257 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.257 * [taylor]: Taking taylor expansion of 2 in x 0.257 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.257 * [taylor]: Taking taylor expansion of (* x y) in x 0.257 * [taylor]: Taking taylor expansion of x in x 0.257 * [taylor]: Taking taylor expansion of y in x 0.258 * [taylor]: Taking taylor expansion of 1 in y 0.259 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.259 * [taylor]: Taking taylor expansion of 2 in y 0.259 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.259 * [taylor]: Taking taylor expansion of y in y 0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.261 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.261 * [taylor]: Taking taylor expansion of y in y 0.262 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.263 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 0.263 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 0.263 * [taylor]: Taking taylor expansion of x in y 0.263 * [taylor]: Taking taylor expansion of (+ x y) in y 0.263 * [taylor]: Taking taylor expansion of x in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.263 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [taylor]: Taking taylor expansion of (+ x y) 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 (* x (+ x y)) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [taylor]: Taking taylor expansion of (+ x y) 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 0 in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.264 * [taylor]: Taking taylor expansion of 1 in y 0.266 * [taylor]: Taking taylor expansion of 0 in y 0.267 * [taylor]: Taking taylor expansion of 0 in y 0.267 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.267 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.267 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.267 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.268 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.268 * [taylor]: Taking taylor expansion of x in y 0.268 * [taylor]: Taking taylor expansion of x in y 0.268 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.269 * [taylor]: Taking taylor expansion of y in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.269 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.269 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.269 * [taylor]: Taking taylor expansion of y in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of 1 in y 0.271 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.271 * [taylor]: Taking taylor expansion of y in y 0.273 * [taylor]: Taking taylor expansion of 0 in y 0.276 * [taylor]: Taking taylor expansion of 0 in y 0.279 * [taylor]: Taking taylor expansion of 0 in y 0.279 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.279 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.279 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.279 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.279 * [taylor]: Taking taylor expansion of y in y 0.280 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.280 * [taylor]: Taking taylor expansion of x in y 0.280 * [taylor]: Taking taylor expansion of x in y 0.280 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.280 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.280 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.280 * [taylor]: Taking taylor expansion of y in x 0.280 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.281 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.281 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.281 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.281 * [taylor]: Taking taylor expansion of y in x 0.281 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.282 * [taylor]: Taking taylor expansion of 1 in y 0.283 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.283 * [taylor]: Taking taylor expansion of y in y 0.285 * [taylor]: Taking taylor expansion of 0 in y 0.287 * [taylor]: Taking taylor expansion of 0 in y 0.290 * [taylor]: Taking taylor expansion of 0 in y 0.291 * * * [progress]: simplifying candidates 0.292 * [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))) (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))) (+ (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)))) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) 0.298 * * [simplify]: iteration 0 : 371 enodes (cost 403 ) 0.308 * * [simplify]: iteration 1 : 2132 enodes (cost 342 ) 0.360 * * [simplify]: iteration 2 : 5001 enodes (cost 336 ) 0.362 * [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 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) (* y x) (pow x 2) (* y x) (* 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))) (* 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))) (* x (+ x y)) (* x (+ x y)) (* x (+ x y)) 0.363 * * * [progress]: adding candidates to table 0.517 * * [progress]: iteration 3 / 4 0.517 * * * [progress]: picking best candidate 0.524 * * * * [pick]: Picked # 0.524 * * * [progress]: localizing error 0.532 * * * [progress]: generating rewritten candidates 0.532 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 3) 0.538 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.539 * * * [progress]: generating series expansions 0.539 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 3) 0.539 * [approximate]: Taking taylor expansion of (* y (+ x y)) in (y x) around 0 0.539 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 0.539 * [taylor]: Taking taylor expansion of y in x 0.539 * [taylor]: Taking taylor expansion of (+ x y) in x 0.539 * [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 (* y (+ x y)) in y 0.539 * [taylor]: Taking taylor expansion of y in y 0.540 * [taylor]: Taking taylor expansion of (+ x y) in y 0.540 * [taylor]: Taking taylor expansion of x in y 0.540 * [taylor]: Taking taylor expansion of y in y 0.540 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.540 * [taylor]: Taking taylor expansion of y in y 0.540 * [taylor]: Taking taylor expansion of (+ x y) in y 0.540 * [taylor]: Taking taylor expansion of x in y 0.540 * [taylor]: Taking taylor expansion of y in y 0.540 * [taylor]: Taking taylor expansion of 0 in x 0.543 * [taylor]: Taking taylor expansion of x in x 0.544 * [taylor]: Taking taylor expansion of 1 in x 0.545 * [taylor]: Taking taylor expansion of 0 in x 0.547 * [taylor]: Taking taylor expansion of 0 in x 0.547 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.547 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.547 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.547 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.547 * [taylor]: Taking taylor expansion of y in x 0.547 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.547 * [taylor]: Taking taylor expansion of y in x 0.548 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.548 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.548 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.548 * [taylor]: Taking taylor expansion of y in y 0.548 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.548 * [taylor]: Taking taylor expansion of x in y 0.548 * [taylor]: Taking taylor expansion of y in y 0.549 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.549 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.549 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.549 * [taylor]: Taking taylor expansion of y in y 0.549 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.549 * [taylor]: Taking taylor expansion of x in y 0.549 * [taylor]: Taking taylor expansion of y in y 0.550 * [taylor]: Taking taylor expansion of 1 in x 0.551 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.553 * [taylor]: Taking taylor expansion of 0 in x 0.555 * [taylor]: Taking taylor expansion of 0 in x 0.558 * [taylor]: Taking taylor expansion of 0 in x 0.559 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.559 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.559 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.559 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.559 * [taylor]: Taking taylor expansion of y in x 0.559 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.559 * [taylor]: Taking taylor expansion of y in x 0.559 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.559 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.559 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.560 * [taylor]: Taking taylor expansion of y in y 0.560 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.560 * [taylor]: Taking taylor expansion of x in y 0.560 * [taylor]: Taking taylor expansion of y in y 0.560 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.560 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.560 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.560 * [taylor]: Taking taylor expansion of y in y 0.561 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.561 * [taylor]: Taking taylor expansion of x in y 0.561 * [taylor]: Taking taylor expansion of y in y 0.562 * [taylor]: Taking taylor expansion of 1 in x 0.563 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.563 * [taylor]: Taking taylor expansion of x in x 0.565 * [taylor]: Taking taylor expansion of 0 in x 0.567 * [taylor]: Taking taylor expansion of 0 in x 0.570 * [taylor]: Taking taylor expansion of 0 in x 0.570 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.571 * [approximate]: Taking taylor expansion of (fma y x (* y (+ x y))) in (y x) around 0 0.571 * [taylor]: Taking taylor expansion of (fma y x (* y (+ x y))) in x 0.571 * [taylor]: Rewrote expression to (+ (* y x) (* y (+ x y))) 0.571 * [taylor]: Taking taylor expansion of (* y x) in x 0.571 * [taylor]: Taking taylor expansion of y in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 0.571 * [taylor]: Taking taylor expansion of y in x 0.571 * [taylor]: Taking taylor expansion of (+ x y) in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of y in x 0.571 * [taylor]: Taking taylor expansion of (fma y x (* y (+ x y))) in y 0.571 * [taylor]: Rewrote expression to (+ (* y x) (* y (+ x y))) 0.571 * [taylor]: Taking taylor expansion of (* y x) in y 0.571 * [taylor]: Taking taylor expansion of y in y 0.571 * [taylor]: Taking taylor expansion of x in y 0.571 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.571 * [taylor]: Taking taylor expansion of y in y 0.571 * [taylor]: Taking taylor expansion of (+ x y) in y 0.571 * [taylor]: Taking taylor expansion of x in y 0.571 * [taylor]: Taking taylor expansion of y in y 0.571 * [taylor]: Taking taylor expansion of (fma y x (* y (+ x y))) in y 0.571 * [taylor]: Rewrote expression to (+ (* y x) (* y (+ x y))) 0.571 * [taylor]: Taking taylor expansion of (* y x) in y 0.571 * [taylor]: Taking taylor expansion of y in y 0.571 * [taylor]: Taking taylor expansion of x in y 0.571 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.571 * [taylor]: Taking taylor expansion of y in y 0.571 * [taylor]: Taking taylor expansion of (+ x y) in y 0.571 * [taylor]: Taking taylor expansion of x in y 0.571 * [taylor]: Taking taylor expansion of y in y 0.572 * [taylor]: Taking taylor expansion of 0 in x 0.573 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.573 * [taylor]: Taking taylor expansion of 2 in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.575 * [taylor]: Taking taylor expansion of 1 in x 0.577 * [taylor]: Taking taylor expansion of 0 in x 0.580 * [taylor]: Taking taylor expansion of 0 in x 0.581 * [approximate]: Taking taylor expansion of (fma (/ 1 y) (/ 1 x) (/ (+ (/ 1 y) (/ 1 x)) y)) in (y x) around 0 0.581 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 x) (/ (+ (/ 1 y) (/ 1 x)) y)) in x 0.581 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 x)) (/ (+ (/ 1 y) (/ 1 x)) y)) 0.581 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in x 0.581 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.581 * [taylor]: Taking taylor expansion of y in x 0.581 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.581 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.581 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.581 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.581 * [taylor]: Taking taylor expansion of y in x 0.581 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.582 * [taylor]: Taking taylor expansion of y in x 0.582 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 x) (/ (+ (/ 1 y) (/ 1 x)) y)) in y 0.582 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 x)) (/ (+ (/ 1 y) (/ 1 x)) y)) 0.582 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in y 0.582 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.582 * [taylor]: Taking taylor expansion of y in y 0.582 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.583 * [taylor]: Taking taylor expansion of x in y 0.583 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.583 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.583 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.583 * [taylor]: Taking taylor expansion of y in y 0.583 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.583 * [taylor]: Taking taylor expansion of x in y 0.583 * [taylor]: Taking taylor expansion of y in y 0.583 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 x) (/ (+ (/ 1 y) (/ 1 x)) y)) in y 0.584 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 x)) (/ (+ (/ 1 y) (/ 1 x)) y)) 0.584 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in y 0.584 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.584 * [taylor]: Taking taylor expansion of y in y 0.584 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.584 * [taylor]: Taking taylor expansion of x in y 0.584 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.584 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.584 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.584 * [taylor]: Taking taylor expansion of y in y 0.584 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.584 * [taylor]: Taking taylor expansion of x in y 0.584 * [taylor]: Taking taylor expansion of y in y 0.585 * [taylor]: Taking taylor expansion of 1 in x 0.586 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.586 * [taylor]: Taking taylor expansion of 2 in x 0.586 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.586 * [taylor]: Taking taylor expansion of x in x 0.590 * [taylor]: Taking taylor expansion of 0 in x 0.594 * [taylor]: Taking taylor expansion of 0 in x 0.599 * [taylor]: Taking taylor expansion of 0 in x 0.600 * [approximate]: Taking taylor expansion of (fma (/ -1 y) (/ -1 x) (/ (+ (/ 1 y) (/ 1 x)) y)) in (y x) around 0 0.600 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 x) (/ (+ (/ 1 y) (/ 1 x)) y)) in x 0.600 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 x)) (/ (+ (/ 1 y) (/ 1 x)) y)) 0.600 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 x)) in x 0.600 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.600 * [taylor]: Taking taylor expansion of -1 in x 0.600 * [taylor]: Taking taylor expansion of y in x 0.600 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.600 * [taylor]: Taking taylor expansion of -1 in x 0.600 * [taylor]: Taking taylor expansion of x in x 0.600 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.600 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.600 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.600 * [taylor]: Taking taylor expansion of y in x 0.601 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.601 * [taylor]: Taking taylor expansion of y in x 0.601 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 x) (/ (+ (/ 1 y) (/ 1 x)) y)) in y 0.601 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 x)) (/ (+ (/ 1 y) (/ 1 x)) y)) 0.601 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 x)) in y 0.601 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.601 * [taylor]: Taking taylor expansion of -1 in y 0.601 * [taylor]: Taking taylor expansion of y in y 0.602 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.602 * [taylor]: Taking taylor expansion of -1 in y 0.602 * [taylor]: Taking taylor expansion of x in y 0.602 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.602 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.602 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.602 * [taylor]: Taking taylor expansion of y in y 0.602 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.602 * [taylor]: Taking taylor expansion of x in y 0.602 * [taylor]: Taking taylor expansion of y in y 0.603 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 x) (/ (+ (/ 1 y) (/ 1 x)) y)) in y 0.603 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 x)) (/ (+ (/ 1 y) (/ 1 x)) y)) 0.603 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 x)) in y 0.603 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.603 * [taylor]: Taking taylor expansion of -1 in y 0.603 * [taylor]: Taking taylor expansion of y in y 0.603 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.603 * [taylor]: Taking taylor expansion of -1 in y 0.603 * [taylor]: Taking taylor expansion of x in y 0.603 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.603 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.603 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.603 * [taylor]: Taking taylor expansion of y in y 0.604 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.604 * [taylor]: Taking taylor expansion of x in y 0.604 * [taylor]: Taking taylor expansion of y in y 0.605 * [taylor]: Taking taylor expansion of 1 in x 0.606 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.606 * [taylor]: Taking taylor expansion of 2 in x 0.606 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.606 * [taylor]: Taking taylor expansion of x in x 0.609 * [taylor]: Taking taylor expansion of 0 in x 0.614 * [taylor]: Taking taylor expansion of 0 in x 0.619 * [taylor]: Taking taylor expansion of 0 in x 0.619 * * * [progress]: simplifying candidates 0.620 * [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))) 0.624 * * [simplify]: iteration 0 : 144 enodes (cost 152 ) 0.628 * * [simplify]: iteration 1 : 681 enodes (cost 133 ) 0.645 * * [simplify]: iteration 2 : 3466 enodes (cost 129 ) 0.712 * * [simplify]: iteration 3 : 5001 enodes (cost 128 ) 0.713 * [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) 0.714 * * * [progress]: adding candidates to table 0.800 * * [progress]: iteration 4 / 4 0.800 * * * [progress]: picking best candidate 0.802 * * * * [pick]: Picked # 0.802 * * * [progress]: localizing error 0.809 * * * [progress]: generating rewritten candidates 0.809 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.814 * * * [progress]: generating series expansions 0.814 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.814 * [approximate]: Taking taylor expansion of (* y (fma x 2 y)) in (x y) around 0 0.814 * [taylor]: Taking taylor expansion of (* y (fma x 2 y)) in y 0.814 * [taylor]: Taking taylor expansion of y in y 0.814 * [taylor]: Taking taylor expansion of (fma x 2 y) in y 0.814 * [taylor]: Rewrote expression to (+ (* x 2) y) 0.814 * [taylor]: Taking taylor expansion of (* x 2) in y 0.814 * [taylor]: Taking taylor expansion of x in y 0.814 * [taylor]: Taking taylor expansion of 2 in y 0.814 * [taylor]: Taking taylor expansion of y in y 0.814 * [taylor]: Taking taylor expansion of (* y (fma x 2 y)) in x 0.814 * [taylor]: Taking taylor expansion of y in x 0.814 * [taylor]: Taking taylor expansion of (fma x 2 y) in x 0.814 * [taylor]: Rewrote expression to (+ (* x 2) y) 0.814 * [taylor]: Taking taylor expansion of (* x 2) in x 0.814 * [taylor]: Taking taylor expansion of x in x 0.814 * [taylor]: Taking taylor expansion of 2 in x 0.814 * [taylor]: Taking taylor expansion of y in x 0.814 * [taylor]: Taking taylor expansion of (* y (fma x 2 y)) in x 0.814 * [taylor]: Taking taylor expansion of y in x 0.814 * [taylor]: Taking taylor expansion of (fma x 2 y) in x 0.814 * [taylor]: Rewrote expression to (+ (* x 2) y) 0.814 * [taylor]: Taking taylor expansion of (* x 2) in x 0.814 * [taylor]: Taking taylor expansion of x in x 0.814 * [taylor]: Taking taylor expansion of 2 in x 0.814 * [taylor]: Taking taylor expansion of y in x 0.815 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.815 * [taylor]: Taking taylor expansion of y in y 0.816 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.816 * [taylor]: Taking taylor expansion of 2 in y 0.816 * [taylor]: Taking taylor expansion of y in y 0.818 * [taylor]: Taking taylor expansion of 0 in y 0.820 * [taylor]: Taking taylor expansion of 0 in y 0.823 * [taylor]: Taking taylor expansion of 0 in y 0.823 * [approximate]: Taking taylor expansion of (/ (fma (/ 1 x) 2 (/ 1 y)) y) in (x y) around 0 0.823 * [taylor]: Taking taylor expansion of (/ (fma (/ 1 x) 2 (/ 1 y)) y) in y 0.823 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 2 (/ 1 y)) in y 0.824 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 2) (/ 1 y)) 0.824 * [taylor]: Taking taylor expansion of (* (/ 1 x) 2) in y 0.824 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.824 * [taylor]: Taking taylor expansion of x in y 0.824 * [taylor]: Taking taylor expansion of 2 in y 0.824 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.824 * [taylor]: Taking taylor expansion of y in y 0.824 * [taylor]: Taking taylor expansion of y in y 0.825 * [taylor]: Taking taylor expansion of (/ (fma (/ 1 x) 2 (/ 1 y)) y) in x 0.825 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 2 (/ 1 y)) in x 0.825 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 2) (/ 1 y)) 0.825 * [taylor]: Taking taylor expansion of (* (/ 1 x) 2) in x 0.825 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.825 * [taylor]: Taking taylor expansion of x in x 0.825 * [taylor]: Taking taylor expansion of 2 in x 0.825 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.825 * [taylor]: Taking taylor expansion of y in x 0.825 * [taylor]: Taking taylor expansion of y in x 0.826 * [taylor]: Taking taylor expansion of (/ (fma (/ 1 x) 2 (/ 1 y)) y) in x 0.826 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 2 (/ 1 y)) in x 0.826 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 2) (/ 1 y)) 0.826 * [taylor]: Taking taylor expansion of (* (/ 1 x) 2) in x 0.826 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.826 * [taylor]: Taking taylor expansion of x in x 0.827 * [taylor]: Taking taylor expansion of 2 in x 0.827 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.827 * [taylor]: Taking taylor expansion of y in x 0.827 * [taylor]: Taking taylor expansion of y in x 0.827 * [taylor]: Taking taylor expansion of (/ 2 y) in y 0.828 * [taylor]: Taking taylor expansion of 2 in y 0.828 * [taylor]: Taking taylor expansion of y in y 0.829 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.829 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.829 * [taylor]: Taking taylor expansion of y in y 0.831 * [taylor]: Taking taylor expansion of 0 in y 0.834 * [taylor]: Taking taylor expansion of 0 in y 0.838 * [taylor]: Taking taylor expansion of 0 in y 0.840 * [approximate]: Taking taylor expansion of (* -1 (/ (fma (/ -1 x) 2 (/ -1 y)) y)) in (x y) around 0 0.840 * [taylor]: Taking taylor expansion of (* -1 (/ (fma (/ -1 x) 2 (/ -1 y)) y)) in y 0.840 * [taylor]: Taking taylor expansion of -1 in y 0.840 * [taylor]: Taking taylor expansion of (/ (fma (/ -1 x) 2 (/ -1 y)) y) in y 0.840 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 2 (/ -1 y)) in y 0.840 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 2) (/ -1 y)) 0.840 * [taylor]: Taking taylor expansion of (* (/ -1 x) 2) in y 0.840 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.840 * [taylor]: Taking taylor expansion of -1 in y 0.840 * [taylor]: Taking taylor expansion of x in y 0.840 * [taylor]: Taking taylor expansion of 2 in y 0.840 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.840 * [taylor]: Taking taylor expansion of -1 in y 0.840 * [taylor]: Taking taylor expansion of y in y 0.841 * [taylor]: Taking taylor expansion of y in y 0.841 * [taylor]: Taking taylor expansion of (* -1 (/ (fma (/ -1 x) 2 (/ -1 y)) y)) in x 0.841 * [taylor]: Taking taylor expansion of -1 in x 0.841 * [taylor]: Taking taylor expansion of (/ (fma (/ -1 x) 2 (/ -1 y)) y) in x 0.841 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 2 (/ -1 y)) in x 0.841 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 2) (/ -1 y)) 0.841 * [taylor]: Taking taylor expansion of (* (/ -1 x) 2) in x 0.841 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.841 * [taylor]: Taking taylor expansion of -1 in x 0.841 * [taylor]: Taking taylor expansion of x in x 0.842 * [taylor]: Taking taylor expansion of 2 in x 0.842 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.842 * [taylor]: Taking taylor expansion of -1 in x 0.842 * [taylor]: Taking taylor expansion of y in x 0.842 * [taylor]: Taking taylor expansion of y in x 0.846 * [taylor]: Taking taylor expansion of (* -1 (/ (fma (/ -1 x) 2 (/ -1 y)) y)) in x 0.846 * [taylor]: Taking taylor expansion of -1 in x 0.846 * [taylor]: Taking taylor expansion of (/ (fma (/ -1 x) 2 (/ -1 y)) y) in x 0.846 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 2 (/ -1 y)) in x 0.846 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 2) (/ -1 y)) 0.846 * [taylor]: Taking taylor expansion of (* (/ -1 x) 2) in x 0.846 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.846 * [taylor]: Taking taylor expansion of -1 in x 0.846 * [taylor]: Taking taylor expansion of x in x 0.846 * [taylor]: Taking taylor expansion of 2 in x 0.846 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.846 * [taylor]: Taking taylor expansion of -1 in x 0.846 * [taylor]: Taking taylor expansion of y in x 0.847 * [taylor]: Taking taylor expansion of y in x 0.847 * [taylor]: Taking taylor expansion of (/ 2 y) in y 0.847 * [taylor]: Taking taylor expansion of 2 in y 0.847 * [taylor]: Taking taylor expansion of y in y 0.849 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.849 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.849 * [taylor]: Taking taylor expansion of y in y 0.852 * [taylor]: Taking taylor expansion of 0 in y 0.856 * [taylor]: Taking taylor expansion of 0 in y 0.860 * [taylor]: Taking taylor expansion of 0 in y 0.862 * * * [progress]: simplifying candidates 0.862 * [simplify]: Simplifying using # : (expm1 (* (fma x 2 y) y)) (log1p (* (fma x 2 y) y)) (* (fma x 2 y) y) (+ (log (fma x 2 y)) (log y)) (log (* (fma x 2 y) y)) (exp (* (fma x 2 y) y)) (* (* (* (fma x 2 y) (fma x 2 y)) (fma x 2 y)) (* (* y y) y)) (* (cbrt (* (fma x 2 y) y)) (cbrt (* (fma x 2 y) y))) (cbrt (* (fma x 2 y) y)) (* (* (* (fma x 2 y) y) (* (fma x 2 y) y)) (* (fma x 2 y) y)) (sqrt (* (fma x 2 y) y)) (sqrt (* (fma x 2 y) y)) (* (sqrt (fma x 2 y)) (sqrt y)) (* (sqrt (fma x 2 y)) (sqrt y)) (* (fma x 2 y) (* (cbrt y) (cbrt y))) (* (fma x 2 y) (sqrt y)) (* (fma x 2 y) 1) (* (cbrt (fma x 2 y)) y) (* (sqrt (fma x 2 y)) y) (* (fma x 2 y) y) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) 0.866 * * [simplify]: iteration 0 : 78 enodes (cost 86 ) 0.869 * * [simplify]: iteration 1 : 267 enodes (cost 70 ) 0.878 * * [simplify]: iteration 2 : 1810 enodes (cost 70 ) 0.913 * * [simplify]: iteration 3 : 5002 enodes (cost 70 ) 0.914 * [simplify]: Simplified to: (expm1 (* (fma x 2 y) y)) (log1p (* (fma x 2 y) y)) (* (fma x 2 y) y) (log (* (fma x 2 y) y)) (log (* (fma x 2 y) y)) (exp (* (fma x 2 y) y)) (pow (* (fma x 2 y) y) 3) (* (cbrt (* (fma x 2 y) y)) (cbrt (* (fma x 2 y) y))) (cbrt (* (fma x 2 y) y)) (pow (* (fma x 2 y) y) 3) (sqrt (* (fma x 2 y) y)) (sqrt (* (fma x 2 y) y)) (* (sqrt (fma x 2 y)) (sqrt y)) (* (sqrt (fma x 2 y)) (sqrt y)) (* (fma x 2 y) (* (cbrt y) (cbrt y))) (* (fma x 2 y) (sqrt y)) (fma x 2 y) (* (cbrt (fma x 2 y)) y) (* (sqrt (fma x 2 y)) y) (* (fma x 2 y) y) (* (fma x 2 y) y) (* (fma x 2 y) y) (* (fma x 2 y) y) 0.914 * * * [progress]: adding candidates to table 0.958 * [progress]: [Phase 3 of 3] Extracting. 0.958 * * [regime]: Finding splitpoints for: (# #) 0.958 * * * [regime-changes]: Trying 2 branch expressions: (y x) 0.958 * * * * [regimes]: Trying to branch on y from (# #) 0.970 * * * * [regimes]: Trying to branch on x from (# #) 0.981 * * * [regime]: Found split indices: #