9.606 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (+ x (/ (fabs (- y x)) 2.0)) 0.015 * * [simplify]: iteration 0 : 7 enodes (cost 8 ) 0.016 * * [simplify]: iteration 1 : 10 enodes (cost 8 ) 0.017 * * [simplify]: iteration 2 : 11 enodes (cost 8 ) 0.018 * * [simplify]: iteration done : 11 enodes (cost 8 ) 0.018 * [simplify]: Simplified to: (+ x (/ (fabs (- y x)) 2.0)) 0.018 * * [progress]: iteration 1 / 4 0.018 * * * [progress]: picking best candidate 0.020 * * * * [pick]: Picked # 0.020 * * * [progress]: localizing error 0.025 * * * [progress]: generating rewritten candidates 0.025 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.032 * * * [progress]: generating series expansions 0.032 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.032 * [approximate]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in (x y) around 0 0.032 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in y 0.032 * [taylor]: Taking taylor expansion of x in y 0.032 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 0.032 * [taylor]: Taking taylor expansion of 0.5 in y 0.032 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 0.032 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 0.033 * [taylor]: Taking taylor expansion of 0.5 in x 0.033 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 0.033 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 0.033 * [taylor]: Taking taylor expansion of 0.5 in x 0.033 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 0.033 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 0.033 * [taylor]: Taking taylor expansion of 0.5 in y 0.033 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 0.034 * [taylor]: Taking taylor expansion of 1 in y 0.035 * [taylor]: Taking taylor expansion of 0 in y 0.036 * [taylor]: Taking taylor expansion of 0 in y 0.037 * [approximate]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in (x y) around 0 0.037 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in y 0.037 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 0.037 * [taylor]: Taking taylor expansion of 0.5 in y 0.037 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.037 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.037 * [taylor]: Taking taylor expansion of x in y 0.037 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 0.037 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 0.037 * [taylor]: Taking taylor expansion of 0.5 in x 0.037 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.037 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 0.037 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 0.037 * [taylor]: Taking taylor expansion of 0.5 in x 0.037 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.037 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.038 * [taylor]: Taking taylor expansion of 1 in y 0.039 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 0.039 * [taylor]: Taking taylor expansion of 0.5 in y 0.039 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.040 * [taylor]: Taking taylor expansion of 0 in y 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.045 * [approximate]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in (x y) around 0 0.045 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in y 0.045 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 0.045 * [taylor]: Taking taylor expansion of 0.5 in y 0.045 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.045 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.045 * [taylor]: Taking taylor expansion of x in y 0.045 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 0.046 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 0.046 * [taylor]: Taking taylor expansion of 0.5 in x 0.046 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 0.046 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 0.046 * [taylor]: Taking taylor expansion of 0.5 in x 0.046 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of -1 in y 0.048 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 0.048 * [taylor]: Taking taylor expansion of 0.5 in y 0.048 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.051 * * * [progress]: simplifying candidates 0.052 * [simplify]: Simplifying using # : (expm1 (+ x (/ (fabs (- y x)) 2.0))) (log1p (+ x (/ (fabs (- y x)) 2.0))) (* (exp x) (exp (/ (fabs (- y x)) 2.0))) (log (+ x (/ (fabs (- y x)) 2.0))) (exp (+ x (/ (fabs (- y x)) 2.0))) (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (+ x (/ (fabs (- y x)) 2.0))) (* (* (+ x (/ (fabs (- y x)) 2.0)) (+ x (/ (fabs (- y x)) 2.0))) (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (+ (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3)) (+ (* x x) (- (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)) (* x (/ (fabs (- y x)) 2.0)))) (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)) (+ x (/ (fabs (- y x)) 2.0)) (+ x (* 0.5 (fabs (- y x)))) (+ x (* 0.5 (fabs (- y x)))) (+ x (* 0.5 (fabs (- y x)))) 0.053 * * [simplify]: iteration 0 : 33 enodes (cost 213 ) 0.058 * * [simplify]: iteration 1 : 89 enodes (cost 204 ) 0.073 * * [simplify]: iteration 2 : 199 enodes (cost 185 ) 0.109 * * [simplify]: iteration 3 : 478 enodes (cost 185 ) 0.209 * * [simplify]: iteration 4 : 1245 enodes (cost 185 ) 0.566 * * [simplify]: iteration 5 : 3767 enodes (cost 185 ) 1.639 * * [simplify]: iteration done : 5000 enodes (cost 185 ) 1.639 * [simplify]: Simplified to: (expm1 (+ x (/ (fabs (- y x)) 2.0))) (log1p (+ x (/ (fabs (- y x)) 2.0))) (exp (+ x (/ (fabs (- y x)) 2.0))) (log (+ x (/ (fabs (- y x)) 2.0))) (exp (+ x (/ (fabs (- y x)) 2.0))) (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (+ x (/ (fabs (- y x)) 2.0))) (pow (+ x (/ (fabs (- y x)) 2.0)) 3) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (+ (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3)) (fma x x (* (/ (fabs (- y x)) 2.0) (- (/ (fabs (- y x)) 2.0) x))) (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)) (+ x (/ (fabs (- y x)) 2.0)) (fma (fabs (- y x)) 0.5 x) (fma (fabs (- y x)) 0.5 x) (fma (fabs (- y x)) 0.5 x) 1.640 * * * [progress]: adding candidates to table 1.685 * * [progress]: iteration 2 / 4 1.685 * * * [progress]: picking best candidate 1.693 * * * * [pick]: Picked # 1.693 * * * [progress]: localizing error 1.702 * * * [progress]: generating rewritten candidates 1.702 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.703 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.703 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.704 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.713 * * * [progress]: generating series expansions 1.714 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.714 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.714 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.714 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.714 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.714 * [taylor]: Taking taylor expansion of 1/3 in x 1.714 * [taylor]: Taking taylor expansion of (log x) in x 1.714 * [taylor]: Taking taylor expansion of x in x 1.715 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.715 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.715 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.715 * [taylor]: Taking taylor expansion of 1/3 in x 1.715 * [taylor]: Taking taylor expansion of (log x) in x 1.715 * [taylor]: Taking taylor expansion of x in x 1.762 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.762 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.762 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.762 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.762 * [taylor]: Taking taylor expansion of 1/3 in x 1.762 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.762 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.762 * [taylor]: Taking taylor expansion of x in x 1.763 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.763 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.763 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.763 * [taylor]: Taking taylor expansion of 1/3 in x 1.763 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.763 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.763 * [taylor]: Taking taylor expansion of x in x 1.816 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.817 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.817 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.817 * [taylor]: Taking taylor expansion of -1 in x 1.817 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.817 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.817 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.817 * [taylor]: Taking taylor expansion of 1/3 in x 1.817 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.817 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.817 * [taylor]: Taking taylor expansion of x in x 1.818 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.818 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.818 * [taylor]: Taking taylor expansion of -1 in x 1.819 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.819 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.819 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.819 * [taylor]: Taking taylor expansion of 1/3 in x 1.819 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.819 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.819 * [taylor]: Taking taylor expansion of x in x 1.885 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.885 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.885 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.885 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.885 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.885 * [taylor]: Taking taylor expansion of 1/3 in x 1.885 * [taylor]: Taking taylor expansion of (log x) in x 1.885 * [taylor]: Taking taylor expansion of x in x 1.886 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.886 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.886 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.886 * [taylor]: Taking taylor expansion of 1/3 in x 1.886 * [taylor]: Taking taylor expansion of (log x) in x 1.886 * [taylor]: Taking taylor expansion of x in x 1.936 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.936 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.937 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.937 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.937 * [taylor]: Taking taylor expansion of 1/3 in x 1.937 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.937 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.937 * [taylor]: Taking taylor expansion of x in x 1.937 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.937 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.937 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.937 * [taylor]: Taking taylor expansion of 1/3 in x 1.937 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.938 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.938 * [taylor]: Taking taylor expansion of x in x 1.987 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.987 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.987 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.987 * [taylor]: Taking taylor expansion of -1 in x 1.988 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.988 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.988 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.988 * [taylor]: Taking taylor expansion of 1/3 in x 1.988 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.988 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.988 * [taylor]: Taking taylor expansion of x in x 1.989 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.989 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.989 * [taylor]: Taking taylor expansion of -1 in x 1.990 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.990 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.990 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.990 * [taylor]: Taking taylor expansion of 1/3 in x 1.990 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.990 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.990 * [taylor]: Taking taylor expansion of x in x 2.056 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 2.056 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 2.056 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.056 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.056 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.056 * [taylor]: Taking taylor expansion of 1/3 in x 2.056 * [taylor]: Taking taylor expansion of (log x) in x 2.056 * [taylor]: Taking taylor expansion of x in x 2.056 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.057 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.057 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.057 * [taylor]: Taking taylor expansion of 1/3 in x 2.057 * [taylor]: Taking taylor expansion of (log x) in x 2.057 * [taylor]: Taking taylor expansion of x in x 2.109 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 2.109 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.109 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.109 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.109 * [taylor]: Taking taylor expansion of 1/3 in x 2.109 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.109 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.109 * [taylor]: Taking taylor expansion of x in x 2.110 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.110 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.110 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.110 * [taylor]: Taking taylor expansion of 1/3 in x 2.110 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.110 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.110 * [taylor]: Taking taylor expansion of x in x 2.165 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 2.165 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.165 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.165 * [taylor]: Taking taylor expansion of -1 in x 2.166 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.166 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.166 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.166 * [taylor]: Taking taylor expansion of 1/3 in x 2.166 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.166 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.166 * [taylor]: Taking taylor expansion of x in x 2.167 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.167 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.167 * [taylor]: Taking taylor expansion of -1 in x 2.168 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.168 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.168 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.168 * [taylor]: Taking taylor expansion of 1/3 in x 2.168 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.168 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.168 * [taylor]: Taking taylor expansion of x in x 2.237 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.237 * [approximate]: Taking taylor expansion of (pow (pow x 2) 1/3) in (x) around 0 2.237 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 2.237 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 2.237 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 2.237 * [taylor]: Taking taylor expansion of 1/3 in x 2.237 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 2.237 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.237 * [taylor]: Taking taylor expansion of x in x 2.238 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 2.238 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 2.238 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 2.238 * [taylor]: Taking taylor expansion of 1/3 in x 2.238 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 2.238 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.238 * [taylor]: Taking taylor expansion of x in x 2.289 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in (x) around 0 2.289 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 2.289 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 2.289 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 2.289 * [taylor]: Taking taylor expansion of 1/3 in x 2.289 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 2.289 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.289 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.289 * [taylor]: Taking taylor expansion of x in x 2.290 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 2.290 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 2.290 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 2.290 * [taylor]: Taking taylor expansion of 1/3 in x 2.290 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 2.290 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.290 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.290 * [taylor]: Taking taylor expansion of x in x 2.350 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in (x) around 0 2.350 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 2.350 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 2.350 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.350 * [taylor]: Taking taylor expansion of -1 in x 2.351 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 2.351 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 2.351 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 2.351 * [taylor]: Taking taylor expansion of 1/3 in x 2.351 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 2.351 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.351 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.351 * [taylor]: Taking taylor expansion of x in x 2.352 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 2.352 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 2.352 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.352 * [taylor]: Taking taylor expansion of -1 in x 2.353 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 2.353 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 2.353 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 2.353 * [taylor]: Taking taylor expansion of 1/3 in x 2.353 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 2.353 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.353 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.353 * [taylor]: Taking taylor expansion of x in x 2.429 * * * [progress]: simplifying candidates 2.430 * [simplify]: Simplifying using # : (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (* (cbrt x) (cbrt x))) (log1p (* (cbrt x) (cbrt x))) (+ 1/3 1/3) (+ 1 1) (* x x) (* (cbrt x) (cbrt x)) (+ 1 1) (+ (log (cbrt x)) (log (cbrt x))) (log (* (cbrt x) (cbrt x))) (exp (* (cbrt x) (cbrt x))) (* x x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (* (cbrt x) (cbrt x))) (* (* (* (cbrt x) (cbrt x)) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x)) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* 1 1) (* (cbrt x) (cbrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (cbrt (sqrt x))) (* (sqrt (cbrt x)) (cbrt (sqrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* 2 1/3) (* 2 1) (* (cbrt x) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt x) (cbrt (sqrt x))) (* (cbrt x) (cbrt 1)) (* (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (* (cbrt x) (sqrt (cbrt x))) (* (cbrt x) 1) (* (cbrt (cbrt x)) (cbrt x)) (* (cbrt (sqrt x)) (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt (cbrt x)) (cbrt x)) (* (sqrt (cbrt x)) (cbrt x)) (* (cbrt x) (cbrt x)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 2/3) (pow (/ 1 x) -2/3) (* (pow (cbrt -1) 2) (pow (pow x 2) 1/3)) 2.432 * * [simplify]: iteration 0 : 65 enodes (cost 554 ) 2.450 * * [simplify]: iteration 1 : 122 enodes (cost 495 ) 2.486 * * [simplify]: iteration 2 : 449 enodes (cost 423 ) 2.722 * * [simplify]: iteration 3 : 1993 enodes (cost 405 ) 3.936 * * [simplify]: iteration done : 5001 enodes (cost 405 ) 3.936 * [simplify]: Simplified to: (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (pow x 2/3)) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (pow x 2/3)) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (pow x 2/3)) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (pow x 2/3)) (log1p (pow x 2/3)) 2/3 2 (* x x) (pow x 2/3) 2 (log (pow x 2/3)) (log (pow x 2/3)) (exp (pow x 2/3)) (* x x) (* (cbrt (pow x 2/3)) (cbrt (pow x 2/3))) (cbrt (pow x 2/3)) (* x x) (fabs (cbrt x)) (fabs (cbrt x)) (* (cbrt (pow x 2/3)) (cbrt (pow x 2/3))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) 1 (pow x 2/3) (pow (cbrt (cbrt x)) 4) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt x) (cbrt x) 1 (pow x 2/3) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (cbrt x) (cbrt x) 2/3 2 (* (cbrt (pow x 2/3)) (cbrt x)) (* (cbrt x) (cbrt (sqrt x))) (cbrt x) (* (pow (cbrt (cbrt x)) 4) (cbrt (cbrt x))) (pow (sqrt (cbrt x)) 3) (cbrt x) (pow (cbrt (cbrt x)) 4) (* (cbrt x) (cbrt (sqrt x))) (pow x 2/3) (pow (cbrt (cbrt x)) 4) (pow (sqrt (cbrt x)) 3) (pow x 2/3) (cbrt x) (pow (/ 1 x) -1/3) (* (cbrt -1) (cbrt (- x))) (cbrt x) (pow (/ 1 x) -1/3) (* (cbrt -1) (cbrt (- x))) (cbrt x) (pow (/ 1 x) -1/3) (* (cbrt -1) (cbrt (- x))) (pow x 2/3) (pow (/ 1 x) -2/3) (* (cbrt (* x x)) (pow (cbrt -1) 2)) 3.937 * * * [progress]: adding candidates to table 4.155 * * [progress]: iteration 3 / 4 4.155 * * * [progress]: picking best candidate 4.161 * * * * [pick]: Picked # 4.161 * * * [progress]: localizing error 4.172 * * * [progress]: generating rewritten candidates 4.173 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 4.224 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 4.236 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 4.250 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 4.260 * * * [progress]: generating series expansions 4.260 * * * * [progress]: [ 1 / 4 ] generating series at (2) 4.261 * [approximate]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in (x y) around 0 4.261 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in y 4.261 * [taylor]: Taking taylor expansion of x in y 4.261 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 4.261 * [taylor]: Taking taylor expansion of 0.5 in y 4.261 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 4.261 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 4.261 * [taylor]: Taking taylor expansion of x in x 4.261 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 4.261 * [taylor]: Taking taylor expansion of 0.5 in x 4.261 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 4.261 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 4.261 * [taylor]: Taking taylor expansion of x in x 4.261 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 4.261 * [taylor]: Taking taylor expansion of 0.5 in x 4.261 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 4.261 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 4.261 * [taylor]: Taking taylor expansion of 0.5 in y 4.261 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 4.262 * [taylor]: Taking taylor expansion of 1 in y 4.263 * [taylor]: Taking taylor expansion of 0 in y 4.265 * [taylor]: Taking taylor expansion of 0 in y 4.265 * [approximate]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in (x y) around 0 4.265 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in y 4.266 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 4.266 * [taylor]: Taking taylor expansion of 0.5 in y 4.266 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 4.266 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.266 * [taylor]: Taking taylor expansion of x in y 4.266 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 4.266 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 4.266 * [taylor]: Taking taylor expansion of 0.5 in x 4.266 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 4.266 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.266 * [taylor]: Taking taylor expansion of x in x 4.266 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 4.266 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 4.266 * [taylor]: Taking taylor expansion of 0.5 in x 4.266 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 4.266 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.266 * [taylor]: Taking taylor expansion of x in x 4.267 * [taylor]: Taking taylor expansion of 1 in y 4.268 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 4.268 * [taylor]: Taking taylor expansion of 0.5 in y 4.268 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 4.269 * [taylor]: Taking taylor expansion of 0 in y 4.271 * [taylor]: Taking taylor expansion of 0 in y 4.271 * [approximate]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in (x y) around 0 4.271 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in y 4.271 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 4.271 * [taylor]: Taking taylor expansion of 0.5 in y 4.272 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 4.272 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.272 * [taylor]: Taking taylor expansion of x in y 4.272 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 4.272 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 4.272 * [taylor]: Taking taylor expansion of 0.5 in x 4.272 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 4.272 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.272 * [taylor]: Taking taylor expansion of x in x 4.272 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 4.272 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 4.272 * [taylor]: Taking taylor expansion of 0.5 in x 4.272 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 4.272 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.272 * [taylor]: Taking taylor expansion of x in x 4.273 * [taylor]: Taking taylor expansion of -1 in y 4.274 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 4.274 * [taylor]: Taking taylor expansion of 0.5 in y 4.274 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 4.275 * [taylor]: Taking taylor expansion of 0 in y 4.277 * [taylor]: Taking taylor expansion of 0 in y 4.277 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 4.278 * [approximate]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in (x y) around 0 4.278 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in y 4.278 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in y 4.278 * [taylor]: Taking taylor expansion of x in y 4.278 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 4.278 * [taylor]: Taking taylor expansion of 0.5 in y 4.278 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 4.278 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in x 4.279 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 4.279 * [taylor]: Taking taylor expansion of x in x 4.279 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 4.279 * [taylor]: Taking taylor expansion of 0.5 in x 4.279 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 4.279 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in x 4.279 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 4.279 * [taylor]: Taking taylor expansion of x in x 4.279 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 4.279 * [taylor]: Taking taylor expansion of 0.5 in x 4.280 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 4.280 * [taylor]: Taking taylor expansion of (* (sqrt (fabs (- y x))) (sqrt 0.5)) in y 4.280 * [taylor]: Taking taylor expansion of (sqrt (fabs (- y x))) in y 4.280 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 4.281 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 4.281 * [taylor]: Taking taylor expansion of 0.5 in y 4.282 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5)))) in y 4.282 * [taylor]: Taking taylor expansion of 1/2 in y 4.282 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5))) in y 4.282 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fabs (- y x)))) in y 4.282 * [taylor]: Taking taylor expansion of (/ 1 (fabs (- y x))) in y 4.282 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 4.282 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 0.5)) in y 4.282 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 4.282 * [taylor]: Taking taylor expansion of 0.5 in y 4.288 * [taylor]: Taking taylor expansion of (* -1/8 (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (pow (sqrt 0.5) 3)))) in y 4.288 * [taylor]: Taking taylor expansion of -1/8 in y 4.288 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (pow (sqrt 0.5) 3))) in y 4.288 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (fabs (- y x)) 3))) in y 4.288 * [taylor]: Taking taylor expansion of (/ 1 (pow (fabs (- y x)) 3)) in y 4.288 * [taylor]: Taking taylor expansion of (pow (fabs (- y x)) 3) in y 4.288 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 4.289 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 0.5) 3)) in y 4.289 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in y 4.289 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 4.289 * [taylor]: Taking taylor expansion of 0.5 in y 4.298 * [approximate]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in (x y) around 0 4.298 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in y 4.299 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in y 4.299 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 4.299 * [taylor]: Taking taylor expansion of 0.5 in y 4.299 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 4.299 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.299 * [taylor]: Taking taylor expansion of x in y 4.300 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in x 4.300 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 4.300 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 4.300 * [taylor]: Taking taylor expansion of 0.5 in x 4.300 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 4.300 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.300 * [taylor]: Taking taylor expansion of x in x 4.302 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in x 4.302 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 4.302 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 4.302 * [taylor]: Taking taylor expansion of 0.5 in x 4.302 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 4.302 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.302 * [taylor]: Taking taylor expansion of x in x 4.303 * [taylor]: Taking taylor expansion of 0 in y 4.303 * [taylor]: Taking taylor expansion of +nan.0 in y 4.305 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0)) in y 4.305 * [taylor]: Taking taylor expansion of +nan.0 in y 4.305 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0) in y 4.305 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 4.305 * [taylor]: Taking taylor expansion of 0.5 in y 4.305 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 4.305 * [taylor]: Taking taylor expansion of +nan.0 in y 4.308 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) (- +nan.0))) in y 4.308 * [taylor]: Taking taylor expansion of +nan.0 in y 4.308 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) (- +nan.0)) in y 4.308 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) in y 4.308 * [taylor]: Taking taylor expansion of +nan.0 in y 4.308 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 4.308 * [taylor]: Taking taylor expansion of (- +nan.0) in y 4.308 * [taylor]: Taking taylor expansion of +nan.0 in y 4.310 * [approximate]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in (x y) around 0 4.310 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in y 4.310 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in y 4.310 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 4.310 * [taylor]: Taking taylor expansion of 0.5 in y 4.310 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 4.310 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.310 * [taylor]: Taking taylor expansion of x in y 4.312 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in x 4.312 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 4.312 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 4.312 * [taylor]: Taking taylor expansion of 0.5 in x 4.312 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 4.312 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.312 * [taylor]: Taking taylor expansion of x in x 4.313 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in x 4.313 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 4.313 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 4.313 * [taylor]: Taking taylor expansion of 0.5 in x 4.313 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 4.314 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.314 * [taylor]: Taking taylor expansion of x in x 4.315 * [taylor]: Taking taylor expansion of 0 in y 4.315 * [taylor]: Taking taylor expansion of +nan.0 in y 4.317 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0)) in y 4.317 * [taylor]: Taking taylor expansion of +nan.0 in y 4.317 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0) in y 4.317 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 4.317 * [taylor]: Taking taylor expansion of 0.5 in y 4.317 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 4.317 * [taylor]: Taking taylor expansion of +nan.0 in y 4.320 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) (- +nan.0))) in y 4.320 * [taylor]: Taking taylor expansion of +nan.0 in y 4.320 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) (- +nan.0)) in y 4.320 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) in y 4.320 * [taylor]: Taking taylor expansion of +nan.0 in y 4.320 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 4.320 * [taylor]: Taking taylor expansion of (- +nan.0) in y 4.320 * [taylor]: Taking taylor expansion of +nan.0 in y 4.327 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 4.327 * [approximate]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in (x y) around 0 4.327 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in y 4.327 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in y 4.327 * [taylor]: Taking taylor expansion of x in y 4.327 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 4.327 * [taylor]: Taking taylor expansion of 0.5 in y 4.327 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 4.328 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in x 4.328 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 4.328 * [taylor]: Taking taylor expansion of x in x 4.328 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 4.328 * [taylor]: Taking taylor expansion of 0.5 in x 4.328 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 4.329 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in x 4.329 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 4.329 * [taylor]: Taking taylor expansion of x in x 4.329 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 4.329 * [taylor]: Taking taylor expansion of 0.5 in x 4.329 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 4.330 * [taylor]: Taking taylor expansion of (* (sqrt (fabs (- y x))) (sqrt 0.5)) in y 4.330 * [taylor]: Taking taylor expansion of (sqrt (fabs (- y x))) in y 4.330 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 4.330 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 4.330 * [taylor]: Taking taylor expansion of 0.5 in y 4.331 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5)))) in y 4.331 * [taylor]: Taking taylor expansion of 1/2 in y 4.331 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5))) in y 4.331 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fabs (- y x)))) in y 4.331 * [taylor]: Taking taylor expansion of (/ 1 (fabs (- y x))) in y 4.331 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 4.332 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 0.5)) in y 4.332 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 4.332 * [taylor]: Taking taylor expansion of 0.5 in y 4.337 * [taylor]: Taking taylor expansion of (* -1/8 (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (pow (sqrt 0.5) 3)))) in y 4.337 * [taylor]: Taking taylor expansion of -1/8 in y 4.337 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (pow (sqrt 0.5) 3))) in y 4.337 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (fabs (- y x)) 3))) in y 4.337 * [taylor]: Taking taylor expansion of (/ 1 (pow (fabs (- y x)) 3)) in y 4.337 * [taylor]: Taking taylor expansion of (pow (fabs (- y x)) 3) in y 4.337 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 4.338 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 0.5) 3)) in y 4.338 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in y 4.338 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 4.338 * [taylor]: Taking taylor expansion of 0.5 in y 4.347 * [approximate]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in (x y) around 0 4.348 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in y 4.348 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in y 4.348 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 4.348 * [taylor]: Taking taylor expansion of 0.5 in y 4.348 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 4.348 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.348 * [taylor]: Taking taylor expansion of x in y 4.349 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in x 4.349 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 4.349 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 4.349 * [taylor]: Taking taylor expansion of 0.5 in x 4.349 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 4.349 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.349 * [taylor]: Taking taylor expansion of x in x 4.351 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in x 4.351 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 4.351 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 4.351 * [taylor]: Taking taylor expansion of 0.5 in x 4.351 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 4.351 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.351 * [taylor]: Taking taylor expansion of x in x 4.352 * [taylor]: Taking taylor expansion of 0 in y 4.352 * [taylor]: Taking taylor expansion of +nan.0 in y 4.354 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0)) in y 4.354 * [taylor]: Taking taylor expansion of +nan.0 in y 4.354 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0) in y 4.354 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 4.354 * [taylor]: Taking taylor expansion of 0.5 in y 4.354 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 4.354 * [taylor]: Taking taylor expansion of +nan.0 in y 4.356 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) (- +nan.0))) in y 4.356 * [taylor]: Taking taylor expansion of +nan.0 in y 4.356 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) (- +nan.0)) in y 4.356 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) in y 4.356 * [taylor]: Taking taylor expansion of +nan.0 in y 4.356 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 4.356 * [taylor]: Taking taylor expansion of (- +nan.0) in y 4.356 * [taylor]: Taking taylor expansion of +nan.0 in y 4.359 * [approximate]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in (x y) around 0 4.359 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in y 4.359 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in y 4.359 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 4.359 * [taylor]: Taking taylor expansion of 0.5 in y 4.359 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 4.359 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.359 * [taylor]: Taking taylor expansion of x in y 4.360 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in x 4.360 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 4.360 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 4.360 * [taylor]: Taking taylor expansion of 0.5 in x 4.360 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 4.360 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.360 * [taylor]: Taking taylor expansion of x in x 4.362 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in x 4.362 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 4.362 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 4.362 * [taylor]: Taking taylor expansion of 0.5 in x 4.362 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 4.362 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.362 * [taylor]: Taking taylor expansion of x in x 4.364 * [taylor]: Taking taylor expansion of 0 in y 4.364 * [taylor]: Taking taylor expansion of +nan.0 in y 4.365 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0)) in y 4.365 * [taylor]: Taking taylor expansion of +nan.0 in y 4.365 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0) in y 4.365 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 4.365 * [taylor]: Taking taylor expansion of 0.5 in y 4.365 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 4.366 * [taylor]: Taking taylor expansion of +nan.0 in y 4.368 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) (- +nan.0))) in y 4.368 * [taylor]: Taking taylor expansion of +nan.0 in y 4.368 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) (- +nan.0)) in y 4.368 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) in y 4.368 * [taylor]: Taking taylor expansion of +nan.0 in y 4.368 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 4.368 * [taylor]: Taking taylor expansion of (- +nan.0) in y 4.368 * [taylor]: Taking taylor expansion of +nan.0 in y 4.371 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 4.371 * [approximate]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in (x y) around 0 4.371 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in y 4.371 * [taylor]: Taking taylor expansion of x in y 4.371 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 4.371 * [taylor]: Taking taylor expansion of 0.5 in y 4.371 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 4.371 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 4.371 * [taylor]: Taking taylor expansion of x in x 4.371 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 4.371 * [taylor]: Taking taylor expansion of 0.5 in x 4.371 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 4.371 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 4.371 * [taylor]: Taking taylor expansion of x in x 4.371 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 4.371 * [taylor]: Taking taylor expansion of 0.5 in x 4.371 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 4.371 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 4.371 * [taylor]: Taking taylor expansion of 0.5 in y 4.371 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 4.372 * [taylor]: Taking taylor expansion of 1 in y 4.373 * [taylor]: Taking taylor expansion of 0 in y 4.374 * [taylor]: Taking taylor expansion of 0 in y 4.375 * [approximate]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in (x y) around 0 4.375 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in y 4.375 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 4.375 * [taylor]: Taking taylor expansion of 0.5 in y 4.375 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 4.375 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.375 * [taylor]: Taking taylor expansion of x in y 4.375 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 4.375 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 4.375 * [taylor]: Taking taylor expansion of 0.5 in x 4.375 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 4.375 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.375 * [taylor]: Taking taylor expansion of x in x 4.375 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 4.375 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 4.375 * [taylor]: Taking taylor expansion of 0.5 in x 4.375 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 4.375 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.376 * [taylor]: Taking taylor expansion of x in x 4.376 * [taylor]: Taking taylor expansion of 1 in y 4.377 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 4.377 * [taylor]: Taking taylor expansion of 0.5 in y 4.377 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 4.378 * [taylor]: Taking taylor expansion of 0 in y 4.380 * [taylor]: Taking taylor expansion of 0 in y 4.380 * [approximate]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in (x y) around 0 4.380 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in y 4.380 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 4.380 * [taylor]: Taking taylor expansion of 0.5 in y 4.380 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 4.380 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.380 * [taylor]: Taking taylor expansion of x in y 4.380 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 4.380 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 4.380 * [taylor]: Taking taylor expansion of 0.5 in x 4.380 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 4.380 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.380 * [taylor]: Taking taylor expansion of x in x 4.380 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 4.381 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 4.381 * [taylor]: Taking taylor expansion of 0.5 in x 4.381 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 4.381 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.381 * [taylor]: Taking taylor expansion of x in x 4.381 * [taylor]: Taking taylor expansion of -1 in y 4.382 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 4.382 * [taylor]: Taking taylor expansion of 0.5 in y 4.382 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 4.384 * [taylor]: Taking taylor expansion of 0 in y 4.385 * [taylor]: Taking taylor expansion of 0 in y 4.386 * * * [progress]: simplifying candidates 4.388 * [simplify]: Simplifying using # : (expm1 (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (log1p (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ x (/ (fabs (- y x)) 2.0)) (+ x (/ (fabs (- y x)) 2.0))) (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (* (+ x (/ (fabs (- y x)) 2.0)) (+ x (/ (fabs (- y x)) 2.0))) (+ 1 1) (+ (log (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (log (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (log (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (exp (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (* (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (* (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (cbrt (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (cbrt (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))))) (cbrt (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (* (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (+ x (/ (fabs (- y x)) 2.0)) (+ x (/ (fabs (- y x)) 2.0))) (sqrt (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (sqrt (+ (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3))) (sqrt (+ (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3)))) (* (sqrt (+ (* x x) (- (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)) (* x (/ (fabs (- y x)) 2.0))))) (sqrt (+ (* x x) (- (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)) (* x (/ (fabs (- y x)) 2.0)))))) (* (sqrt (+ (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3))) (sqrt (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))))) (* (sqrt (+ (* x x) (- (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)) (* x (/ (fabs (- y x)) 2.0))))) (sqrt (- x (/ (fabs (- y x)) 2.0)))) (* (sqrt (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))) (sqrt (+ (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3)))) (* (sqrt (- x (/ (fabs (- y x)) 2.0))) (sqrt (+ (* x x) (- (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)) (* x (/ (fabs (- y x)) 2.0)))))) (* (sqrt (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))) (sqrt (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))))) (* (sqrt (- x (/ (fabs (- y x)) 2.0))) (sqrt (- x (/ (fabs (- y x)) 2.0)))) (* (* (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))) (* (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (sqrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))) (* (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) 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3)))))) (- (+ (* +nan.0 (/ (fabs (- y x)) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ (fabs (- y x)) x)) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))))) (- (+ (* +nan.0 (/ (fabs (- y x)) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ (fabs (- y x)) x)) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))))) (- (+ (* 1/2 (* (/ x (sqrt 0.5)) (sqrt (/ 1 (fabs (- y x)))))) (* (sqrt (fabs (- y x))) (sqrt 0.5))) (* 1/8 (* (/ (pow x 2) (pow (sqrt 0.5) 3)) (sqrt (/ 1 (pow (fabs (- y x)) 3)))))) (- (+ (* +nan.0 (/ (fabs (- y x)) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ (fabs (- y x)) x)) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))))) (- (+ (* +nan.0 (/ (fabs (- y x)) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ (fabs (- y x)) x)) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))))) (+ x (* 0.5 (fabs (- y x)))) (+ x (* 0.5 (fabs (- y x)))) (+ x (* 0.5 (fabs (- y x)))) 4.394 * * [simplify]: iteration 0 : 135 enodes (cost 2667 ) 4.422 * * [simplify]: iteration 1 : 287 enodes (cost 1913 ) 4.490 * * [simplify]: iteration 2 : 1030 enodes (cost 1765 ) 4.881 * * [simplify]: iteration done : 5001 enodes (cost 1753 ) 4.882 * [simplify]: Simplified to: (expm1 (+ x (/ (fabs (- y x)) 2.0))) (log1p (+ x (/ (fabs (- y x)) 2.0))) 1 1 2 1 1 (* (+ x (/ (fabs (- y x)) 2.0)) (+ x (/ (fabs (- y x)) 2.0))) (+ (/ (fabs (- y x)) 2.0) x) (* (+ x (/ (fabs (- y x)) 2.0)) (+ x (/ (fabs (- y x)) 2.0))) 2 (log (+ x (/ (fabs (- y x)) 2.0))) (log (+ x (/ (fabs (- y x)) 2.0))) (exp (+ (/ (fabs (- y x)) 2.0) x)) (pow (+ (/ (fabs (- y x)) 2.0) x) 3) (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (+ x (/ (fabs (- y x)) 2.0))) (pow (+ (/ (fabs (- y x)) 2.0) x) 3) (* (+ x (/ (fabs (- y x)) 2.0)) (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ (/ (fabs (- y x)) 2.0) x)) (sqrt (+ (/ (fabs (- y x)) 2.0) x)) (+ (pow (/ (fabs (- y x)) 2.0) 3) (pow x 3)) (fma x x (* (/ (fabs (- y x)) 2.0) (- (/ (fabs (- y x)) 2.0) x))) (* (hypot (pow 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(/ (fabs (- y x)) x) (/ 1 x))))) (- (+ (fma +nan.0 (/ (fabs (- y x)) x) (- +nan.0 (/ +nan.0 x))) (* (/ +nan.0 x) (- (/ (fabs (- y x)) x) (/ 1 x))))) (fma (fabs (- y x)) 0.5 x) (fma (fabs (- y x)) 0.5 x) (fma (fabs (- y x)) 0.5 x) 4.883 * * * [progress]: adding candidates to table 5.146 * * [progress]: iteration 4 / 4 5.146 * * * [progress]: picking best candidate 5.153 * * * * [pick]: Picked # 5.153 * * * [progress]: localizing error 5.166 * * * [progress]: generating rewritten candidates 5.166 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 5.167 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2) 5.167 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 5.168 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 5.175 * * * [progress]: generating series expansions 5.175 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 5.175 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 5.175 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 5.175 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 5.175 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 5.175 * [taylor]: Taking taylor expansion of 1/3 in x 5.175 * [taylor]: Taking taylor expansion of (log x) in x 5.176 * [taylor]: Taking taylor expansion of x in x 5.176 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 5.176 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 5.176 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 5.176 * [taylor]: Taking taylor expansion of 1/3 in x 5.176 * [taylor]: Taking taylor expansion of (log x) in x 5.176 * [taylor]: Taking taylor expansion of x in x 5.227 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 5.227 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 5.227 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 5.227 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 5.227 * [taylor]: Taking taylor expansion of 1/3 in x 5.227 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 5.227 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.227 * [taylor]: Taking taylor expansion of x in x 5.228 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 5.228 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 5.228 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 5.228 * [taylor]: Taking taylor expansion of 1/3 in x 5.228 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 5.228 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.228 * [taylor]: Taking taylor expansion of x in x 5.283 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 5.283 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 5.283 * [taylor]: Taking taylor expansion of (cbrt -1) in x 5.283 * [taylor]: Taking taylor expansion of -1 in x 5.283 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 5.283 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 5.284 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 5.284 * [taylor]: Taking taylor expansion of 1/3 in x 5.284 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 5.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.284 * [taylor]: Taking taylor expansion of x in x 5.284 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 5.284 * [taylor]: Taking taylor expansion of (cbrt -1) in x 5.284 * [taylor]: Taking taylor expansion of -1 in x 5.285 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 5.285 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 5.285 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 5.285 * [taylor]: Taking taylor expansion of 1/3 in x 5.285 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 5.285 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.285 * [taylor]: Taking taylor expansion of x in x 5.350 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2) 5.350 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 5.351 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 5.351 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 5.351 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 5.351 * [taylor]: Taking taylor expansion of 1/3 in x 5.351 * [taylor]: Taking taylor expansion of (log x) in x 5.351 * [taylor]: Taking taylor expansion of x in x 5.352 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 5.352 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 5.352 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 5.352 * [taylor]: Taking taylor expansion of 1/3 in x 5.352 * [taylor]: Taking taylor expansion of (log x) in x 5.352 * [taylor]: Taking taylor expansion of x in x 5.398 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 5.398 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 5.398 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 5.398 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 5.398 * [taylor]: Taking taylor expansion of 1/3 in x 5.398 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 5.398 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.398 * [taylor]: Taking taylor expansion of x in x 5.399 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 5.399 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 5.399 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 5.399 * [taylor]: Taking taylor expansion of 1/3 in x 5.399 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 5.399 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.399 * [taylor]: Taking taylor expansion of x in x 5.454 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 5.454 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 5.454 * [taylor]: Taking taylor expansion of (cbrt -1) in x 5.454 * [taylor]: Taking taylor expansion of -1 in x 5.455 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 5.455 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 5.455 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 5.455 * [taylor]: Taking taylor expansion of 1/3 in x 5.455 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 5.455 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.455 * [taylor]: Taking taylor expansion of x in x 5.456 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 5.456 * [taylor]: Taking taylor expansion of (cbrt -1) in x 5.456 * [taylor]: Taking taylor expansion of -1 in x 5.456 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 5.456 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 5.456 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 5.456 * [taylor]: Taking taylor expansion of 1/3 in x 5.456 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 5.456 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.456 * [taylor]: Taking taylor expansion of x in x 5.523 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 5.523 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 5.523 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 5.523 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 5.523 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 5.523 * [taylor]: Taking taylor expansion of 1/3 in x 5.523 * [taylor]: Taking taylor expansion of (log x) in x 5.523 * [taylor]: Taking taylor expansion of x in x 5.523 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 5.523 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 5.523 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 5.523 * [taylor]: Taking taylor expansion of 1/3 in x 5.523 * [taylor]: Taking taylor expansion of (log x) in x 5.523 * [taylor]: Taking taylor expansion of x in x 5.578 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 5.578 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 5.578 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 5.578 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 5.578 * [taylor]: Taking taylor expansion of 1/3 in x 5.578 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 5.578 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.578 * [taylor]: Taking taylor expansion of x in x 5.579 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 5.579 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 5.579 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 5.579 * [taylor]: Taking taylor expansion of 1/3 in x 5.579 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 5.579 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.579 * [taylor]: Taking taylor expansion of x in x 5.630 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 5.630 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 5.630 * [taylor]: Taking taylor expansion of (cbrt -1) in x 5.630 * [taylor]: Taking taylor expansion of -1 in x 5.631 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 5.631 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 5.631 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 5.631 * [taylor]: Taking taylor expansion of 1/3 in x 5.631 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 5.631 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.631 * [taylor]: Taking taylor expansion of x in x 5.632 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 5.632 * [taylor]: Taking taylor expansion of (cbrt -1) in x 5.632 * [taylor]: Taking taylor expansion of -1 in x 5.633 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 5.633 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 5.633 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 5.633 * [taylor]: Taking taylor expansion of 1/3 in x 5.633 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 5.633 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.633 * [taylor]: Taking taylor expansion of x in x 5.702 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 5.702 * [approximate]: Taking taylor expansion of (pow (pow x 2) 1/3) in (x) around 0 5.702 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 5.702 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 5.702 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 5.702 * [taylor]: Taking taylor expansion of 1/3 in x 5.702 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 5.702 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.702 * [taylor]: Taking taylor expansion of x in x 5.703 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 5.703 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 5.703 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 5.703 * [taylor]: Taking taylor expansion of 1/3 in x 5.703 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 5.703 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.703 * [taylor]: Taking taylor expansion of x in x 5.759 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in (x) around 0 5.759 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 5.759 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 5.759 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 5.759 * [taylor]: Taking taylor expansion of 1/3 in x 5.759 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 5.759 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.759 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.759 * [taylor]: Taking taylor expansion of x in x 5.760 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 5.760 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 5.760 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 5.760 * [taylor]: Taking taylor expansion of 1/3 in x 5.760 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 5.760 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.760 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.760 * [taylor]: Taking taylor expansion of x in x 5.820 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in (x) around 0 5.820 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 5.820 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 5.820 * [taylor]: Taking taylor expansion of (cbrt -1) in x 5.820 * [taylor]: Taking taylor expansion of -1 in x 5.821 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 5.821 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 5.821 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 5.821 * [taylor]: Taking taylor expansion of 1/3 in x 5.821 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 5.821 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.821 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.821 * [taylor]: Taking taylor expansion of x in x 5.822 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 5.822 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 5.822 * [taylor]: Taking taylor expansion of (cbrt -1) in x 5.822 * [taylor]: Taking taylor expansion of -1 in x 5.823 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 5.823 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 5.823 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 5.823 * [taylor]: Taking taylor expansion of 1/3 in x 5.823 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 5.823 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.823 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.823 * [taylor]: Taking taylor expansion of x in x 5.900 * * * [progress]: simplifying candidates 5.902 * [simplify]: Simplifying using # : (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (* (cbrt x) (cbrt x))) (log1p (* (cbrt x) (cbrt x))) (+ 1/3 1/3) (+ 1 1) (* x x) (* (cbrt x) (cbrt x)) (+ 1 1) (+ (log (cbrt x)) (log (cbrt x))) (log (* (cbrt x) (cbrt x))) (exp (* (cbrt x) (cbrt x))) (* x x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (* (cbrt x) (cbrt x))) (* (* (* (cbrt x) (cbrt x)) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x)) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* 1 1) (* (cbrt x) (cbrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (cbrt (sqrt x))) (* (sqrt (cbrt x)) (cbrt (sqrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* 2 1/3) (* 2 1) (* (cbrt x) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt x) (cbrt (sqrt x))) (* (cbrt x) (cbrt 1)) (* (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (* (cbrt x) (sqrt (cbrt x))) (* (cbrt x) 1) (* (cbrt (cbrt x)) (cbrt x)) (* (cbrt (sqrt x)) (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt (cbrt x)) (cbrt x)) (* (sqrt (cbrt x)) (cbrt x)) (* (cbrt x) (cbrt x)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 2/3) (pow (/ 1 x) -2/3) (* (pow (cbrt -1) 2) (pow (pow x 2) 1/3)) 5.904 * * [simplify]: iteration 0 : 65 enodes (cost 554 ) 5.917 * * [simplify]: iteration 1 : 122 enodes (cost 495 ) 5.959 * * [simplify]: iteration 2 : 449 enodes (cost 423 ) 6.195 * * [simplify]: iteration 3 : 1993 enodes (cost 405 ) 7.425 * * [simplify]: iteration done : 5001 enodes (cost 405 ) 7.425 * [simplify]: Simplified to: (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (pow x 2/3)) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (pow x 2/3)) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (pow x 2/3)) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (pow x 2/3)) (log1p (pow x 2/3)) 2/3 2 (* x x) (pow x 2/3) 2 (log (pow x 2/3)) (log (pow x 2/3)) (exp (pow x 2/3)) (* x x) (* (cbrt (pow x 2/3)) (cbrt (pow x 2/3))) (cbrt (pow x 2/3)) (* x x) (fabs (cbrt x)) (fabs (cbrt x)) (* (cbrt (pow x 2/3)) (cbrt (pow x 2/3))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) 1 (pow x 2/3) (pow (cbrt (cbrt x)) 4) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt x) (cbrt x) 1 (pow x 2/3) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (cbrt x) (cbrt x) 2/3 2 (* (cbrt (pow x 2/3)) (cbrt x)) (* (cbrt x) (cbrt (sqrt x))) (cbrt x) (* (pow (cbrt (cbrt x)) 4) (cbrt (cbrt x))) (pow (sqrt (cbrt x)) 3) (cbrt x) (pow (cbrt (cbrt x)) 4) (* (cbrt x) (cbrt (sqrt x))) (pow x 2/3) (pow (cbrt (cbrt x)) 4) (pow (sqrt (cbrt x)) 3) (pow x 2/3) (cbrt x) (pow (/ 1 x) -1/3) (* (cbrt -1) (cbrt (- x))) (cbrt x) (pow (/ 1 x) -1/3) (* (cbrt -1) (cbrt (- x))) (cbrt x) (pow (/ 1 x) -1/3) (* (cbrt -1) (cbrt (- x))) (pow x 2/3) (pow (/ 1 x) -2/3) (* (cbrt (* x x)) (pow (cbrt -1) 2)) 7.426 * * * [progress]: adding candidates to table 7.687 * [progress]: [Phase 3 of 3] Extracting. 7.687 * * [regime]: Finding splitpoints for: (# # # # #) 7.688 * * * [regime-changes]: Trying 3 branch expressions: ((+ x (/ (fabs (- y x)) 2.0)) y x) 7.688 * * * * [regimes]: Trying to branch on (+ x (/ (fabs (- y x)) 2.0)) from (# # # # #) 7.715 * * * * [regimes]: Trying to branch on y from (# # # # #) 7.738 * * * * [regimes]: Trying to branch on x from (# # # # #) 7.759 * * * [regime]: Found split indices: #