16.261 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying using # : (* (+ x y) (+ x y)) 0.021 * * [simplify]: iteration 0 : 11 enodes (cost 3 ) 0.023 * * [simplify]: iteration 1 : 27 enodes (cost 3 ) 0.026 * * [simplify]: iteration 2 : 66 enodes (cost 3 ) 0.028 * * [simplify]: iteration 3 : 113 enodes (cost 3 ) 0.031 * * [simplify]: iteration 4 : 145 enodes (cost 3 ) 0.035 * * [simplify]: iteration 5 : 165 enodes (cost 3 ) 0.038 * * [simplify]: iteration 6 : 182 enodes (cost 3 ) 0.041 * * [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)) 0.046 * * [progress]: iteration 1 / 4 0.046 * * * [progress]: picking best candidate 0.047 * * * * [pick]: Picked # 0.047 * * * [progress]: localizing error 0.051 * * * [progress]: generating rewritten candidates 0.051 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.061 * * * [progress]: generating series expansions 0.061 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.061 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.061 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.061 * [taylor]: Taking taylor expansion of (+ x y) in y 0.061 * [taylor]: Taking taylor expansion of x in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.061 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.061 * [taylor]: Taking taylor expansion of (+ x y) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.061 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.061 * [taylor]: Taking taylor expansion of (+ x y) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.061 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.062 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.062 * [taylor]: Taking taylor expansion of 2 in y 0.062 * [taylor]: Taking taylor expansion of y in y 0.063 * [taylor]: Taking taylor expansion of 1 in y 0.064 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.064 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.064 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.065 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.065 * [taylor]: Taking taylor expansion of x in y 0.065 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.065 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.065 * [taylor]: Taking taylor expansion of y in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.066 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.066 * [taylor]: Taking taylor expansion of y in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.067 * [taylor]: Taking taylor expansion of 1 in y 0.068 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.068 * [taylor]: Taking taylor expansion of 2 in y 0.068 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.069 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.069 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.069 * [taylor]: Taking taylor expansion of y in y 0.071 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.071 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.071 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.071 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.071 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.071 * [taylor]: Taking taylor expansion of x in y 0.072 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.072 * [taylor]: Taking taylor expansion of y in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.072 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.073 * [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 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 0.076 * [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)))) 0.084 * * [simplify]: iteration 0 : 194 enodes (cost 221 ) 0.091 * * [simplify]: iteration 1 : 953 enodes (cost 194 ) 0.121 * * [simplify]: iteration 2 : 5002 enodes (cost 180 ) 0.123 * [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)) 0.124 * * * [progress]: adding candidates to table 0.174 * * [progress]: iteration 2 / 4 0.174 * * * [progress]: picking best candidate 0.175 * * * * [pick]: Picked # 0.175 * * * [progress]: localizing error 0.181 * * * [progress]: generating rewritten candidates 0.181 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.188 * * * [progress]: generating series expansions 0.188 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.188 * [approximate]: Taking taylor expansion of (* y (+ x y)) in (y x) around 0 0.188 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 0.188 * [taylor]: Taking taylor expansion of y in x 0.188 * [taylor]: Taking taylor expansion of (+ x y) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.188 * [taylor]: Taking taylor expansion of y in x 0.188 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.189 * [taylor]: Taking taylor expansion of y in y 0.189 * [taylor]: Taking taylor expansion of (+ x y) in y 0.189 * [taylor]: Taking taylor expansion of x in y 0.189 * [taylor]: Taking taylor expansion of y in y 0.189 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.189 * [taylor]: Taking taylor expansion of y in y 0.189 * [taylor]: Taking taylor expansion of (+ x y) in y 0.189 * [taylor]: Taking taylor expansion of x in y 0.189 * [taylor]: Taking taylor expansion of y in y 0.189 * [taylor]: Taking taylor expansion of 0 in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.191 * [taylor]: Taking taylor expansion of 1 in x 0.192 * [taylor]: Taking taylor expansion of 0 in x 0.194 * [taylor]: Taking taylor expansion of 0 in x 0.194 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.194 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.194 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.194 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.194 * [taylor]: Taking taylor expansion of y in x 0.194 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.194 * [taylor]: Taking taylor expansion of y in x 0.195 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.195 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.195 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.195 * [taylor]: Taking taylor expansion of y in y 0.195 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.195 * [taylor]: Taking taylor expansion of x in y 0.195 * [taylor]: Taking taylor expansion of y in y 0.196 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.196 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.196 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.196 * [taylor]: Taking taylor expansion of y in y 0.196 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.196 * [taylor]: Taking taylor expansion of x in y 0.196 * [taylor]: Taking taylor expansion of y in y 0.197 * [taylor]: Taking taylor expansion of 1 in x 0.198 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.200 * [taylor]: Taking taylor expansion of 0 in x 0.202 * [taylor]: Taking taylor expansion of 0 in x 0.209 * [taylor]: Taking taylor expansion of 0 in x 0.209 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.209 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.209 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.209 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.209 * [taylor]: Taking taylor expansion of y in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of y in x 0.210 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.210 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.210 * [taylor]: Taking taylor expansion of y in y 0.211 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.211 * [taylor]: Taking taylor expansion of x in y 0.211 * [taylor]: Taking taylor expansion of y in y 0.211 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.211 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.211 * [taylor]: Taking taylor expansion of y in y 0.212 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.212 * [taylor]: Taking taylor expansion of x in y 0.212 * [taylor]: Taking taylor expansion of y in y 0.212 * [taylor]: Taking taylor expansion of 1 in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of 0 in x 0.218 * [taylor]: Taking taylor expansion of 0 in x 0.221 * [taylor]: Taking taylor expansion of 0 in x 0.221 * * * [progress]: simplifying candidates 0.222 * [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))) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) 0.226 * * [simplify]: iteration 0 : 126 enodes (cost 91 ) 0.231 * * [simplify]: iteration 1 : 620 enodes (cost 82 ) 0.250 * * [simplify]: iteration 2 : 3073 enodes (cost 81 ) 0.313 * * [simplify]: iteration 3 : 5001 enodes (cost 81 ) 0.314 * [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))) (* y (+ x y)) (* y (+ x y)) (* y (+ x y)) 0.315 * * * [progress]: adding candidates to table 0.350 * [progress]: [Phase 3 of 3] Extracting. 0.350 * * [regime]: Finding splitpoints for: (# #) 0.350 * * * [regime-changes]: Trying 4 branch expressions: ((+ x y) (* (+ x y) (+ x y)) y x) 0.350 * * * * [regimes]: Trying to branch on (+ x y) from (# #) 0.362 * * * * [regimes]: Trying to branch on (* (+ x y) (+ x y)) from (# #) 0.376 * * * * [regimes]: Trying to branch on y from (# #) 0.387 * * * * [regimes]: Trying to branch on x from (# #) 0.398 * * * [regime]: Found split indices: #