15.764 * [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) 0.033 * [approximate]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in (x y) around 0 0.033 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in y 0.033 * [taylor]: Taking taylor expansion of x in y 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 0.033 * [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 (+ 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 0.037 * [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 0.038 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in y 0.038 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 0.038 * [taylor]: Taking taylor expansion of 0.5 in y 0.038 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.038 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.038 * [taylor]: Taking taylor expansion of x in y 0.038 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 0.038 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 0.038 * [taylor]: Taking taylor expansion of 0.5 in x 0.038 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.038 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.038 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 0.038 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 0.038 * [taylor]: Taking taylor expansion of 0.5 in x 0.038 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.038 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of 1 in y 0.040 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 0.040 * [taylor]: Taking taylor expansion of 0.5 in y 0.040 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.043 * [taylor]: Taking taylor expansion of 0 in y 0.043 * [approximate]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in (x y) around 0 0.043 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in y 0.043 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 0.043 * [taylor]: Taking taylor expansion of 0.5 in y 0.043 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.043 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.043 * [taylor]: Taking taylor expansion of x in y 0.043 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 0.043 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 0.043 * [taylor]: Taking taylor expansion of 0.5 in x 0.043 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 0.044 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 0.044 * [taylor]: Taking taylor expansion of 0.5 in x 0.044 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of -1 in y 0.045 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 0.046 * [taylor]: Taking taylor expansion of 0.5 in y 0.046 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.049 * * * [progress]: simplifying candidates 0.050 * [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)))) 0.051 * * [simplify]: iteration 0 : 33 enodes (cost 213 ) 0.060 * * [simplify]: iteration 1 : 89 enodes (cost 204 ) 0.075 * * [simplify]: iteration 2 : 199 enodes (cost 185 ) 0.113 * * [simplify]: iteration 3 : 464 enodes (cost 185 ) 0.213 * * [simplify]: iteration 4 : 1210 enodes (cost 185 ) 0.613 * * [simplify]: iteration 5 : 3513 enodes (cost 185 ) 1.575 * * [simplify]: iteration done : 5000 enodes (cost 185 ) 1.575 * [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) 1.575 * * * [progress]: adding candidates to table 1.621 * * [progress]: iteration 2 / 4 1.621 * * * [progress]: picking best candidate 1.629 * * * * [pick]: Picked # 1.629 * * * [progress]: localizing error 1.638 * * * [progress]: generating rewritten candidates 1.639 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.639 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.640 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.640 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.649 * * * [progress]: generating series expansions 1.649 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.649 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.649 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.649 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.649 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.649 * [taylor]: Taking taylor expansion of 1/3 in x 1.649 * [taylor]: Taking taylor expansion of (log x) in x 1.649 * [taylor]: Taking taylor expansion of x in x 1.650 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.650 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.650 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.650 * [taylor]: Taking taylor expansion of 1/3 in x 1.650 * [taylor]: Taking taylor expansion of (log x) in x 1.650 * [taylor]: Taking taylor expansion of x in x 1.704 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.704 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.704 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.704 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.704 * [taylor]: Taking taylor expansion of 1/3 in x 1.704 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.704 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.704 * [taylor]: Taking taylor expansion of x in x 1.705 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.705 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.705 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.705 * [taylor]: Taking taylor expansion of 1/3 in x 1.705 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.705 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.705 * [taylor]: Taking taylor expansion of x in x 1.764 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.764 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.764 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.764 * [taylor]: Taking taylor expansion of -1 in x 1.764 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.764 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.764 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.765 * [taylor]: Taking taylor expansion of 1/3 in x 1.765 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.765 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.765 * [taylor]: Taking taylor expansion of x in x 1.765 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.765 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.765 * [taylor]: Taking taylor expansion of -1 in x 1.766 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.766 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.766 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.766 * [taylor]: Taking taylor expansion of 1/3 in x 1.766 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.766 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.766 * [taylor]: Taking taylor expansion of x in x 1.835 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.836 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.836 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.836 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.836 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.836 * [taylor]: Taking taylor expansion of 1/3 in x 1.836 * [taylor]: Taking taylor expansion of (log x) in x 1.836 * [taylor]: Taking taylor expansion of x in x 1.836 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.836 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.836 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.836 * [taylor]: Taking taylor expansion of 1/3 in x 1.836 * [taylor]: Taking taylor expansion of (log x) in x 1.836 * [taylor]: Taking taylor expansion of x in x 1.885 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.885 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.885 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.885 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.885 * [taylor]: Taking taylor expansion of 1/3 in x 1.885 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.885 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.885 * [taylor]: Taking taylor expansion of x in x 1.886 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.886 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.886 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.886 * [taylor]: Taking taylor expansion of 1/3 in x 1.886 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.886 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.886 * [taylor]: Taking taylor expansion of x in x 1.943 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.944 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.944 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.944 * [taylor]: Taking taylor expansion of -1 in x 1.944 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.945 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.945 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.945 * [taylor]: Taking taylor expansion of 1/3 in x 1.945 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.945 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.945 * [taylor]: Taking taylor expansion of x in x 1.945 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.945 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.946 * [taylor]: Taking taylor expansion of -1 in x 1.946 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.946 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.946 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.946 * [taylor]: Taking taylor expansion of 1/3 in x 1.946 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.946 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.946 * [taylor]: Taking taylor expansion of x in x 2.016 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 2.016 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 2.016 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.016 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.016 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.016 * [taylor]: Taking taylor expansion of 1/3 in x 2.016 * [taylor]: Taking taylor expansion of (log x) in x 2.016 * [taylor]: Taking taylor expansion of x in x 2.017 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.017 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.017 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.017 * [taylor]: Taking taylor expansion of 1/3 in x 2.017 * [taylor]: Taking taylor expansion of (log x) in x 2.017 * [taylor]: Taking taylor expansion of x in x 2.073 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 2.073 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.074 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.074 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.074 * [taylor]: Taking taylor expansion of 1/3 in x 2.074 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.074 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.074 * [taylor]: Taking taylor expansion of x in x 2.074 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.075 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.075 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.075 * [taylor]: Taking taylor expansion of 1/3 in x 2.075 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.075 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.075 * [taylor]: Taking taylor expansion of x in x 2.126 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 2.126 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.126 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.126 * [taylor]: Taking taylor expansion of -1 in x 2.127 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.127 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.127 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.127 * [taylor]: Taking taylor expansion of 1/3 in x 2.127 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.127 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.127 * [taylor]: Taking taylor expansion of x in x 2.128 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.128 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.128 * [taylor]: Taking taylor expansion of -1 in x 2.129 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.129 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.129 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.129 * [taylor]: Taking taylor expansion of 1/3 in x 2.129 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.129 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.129 * [taylor]: Taking taylor expansion of x in x 2.202 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.202 * [approximate]: Taking taylor expansion of (pow (pow x 2) 1/3) in (x) around 0 2.202 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 2.202 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 2.202 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 2.202 * [taylor]: Taking taylor expansion of 1/3 in x 2.202 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 2.202 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.202 * [taylor]: Taking taylor expansion of x in x 2.203 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 2.203 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 2.203 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 2.203 * [taylor]: Taking taylor expansion of 1/3 in x 2.204 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 2.204 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.204 * [taylor]: Taking taylor expansion of x in x 2.261 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in (x) around 0 2.261 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 2.261 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 2.261 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 2.261 * [taylor]: Taking taylor expansion of 1/3 in x 2.261 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 2.261 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.261 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.261 * [taylor]: Taking taylor expansion of x in x 2.263 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 2.263 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 2.263 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 2.263 * [taylor]: Taking taylor expansion of 1/3 in x 2.263 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 2.263 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.263 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.263 * [taylor]: Taking taylor expansion of x in x 2.325 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in (x) around 0 2.325 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 2.325 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 2.325 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.325 * [taylor]: Taking taylor expansion of -1 in x 2.326 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 2.326 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 2.326 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 2.326 * [taylor]: Taking taylor expansion of 1/3 in x 2.326 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 2.326 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.326 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.326 * [taylor]: Taking taylor expansion of x in x 2.327 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 2.327 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 2.327 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.327 * [taylor]: Taking taylor expansion of -1 in x 2.328 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 2.328 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 2.328 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 2.328 * [taylor]: Taking taylor expansion of 1/3 in x 2.328 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 2.328 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.328 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.328 * [taylor]: Taking taylor expansion of x in x 2.405 * * * [progress]: simplifying candidates 2.406 * [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)) 2.409 * * [simplify]: iteration 0 : 65 enodes (cost 554 ) 2.425 * * [simplify]: iteration 1 : 119 enodes (cost 443 ) 2.465 * * [simplify]: iteration 2 : 383 enodes (cost 423 ) 2.747 * * [simplify]: iteration 3 : 1868 enodes (cost 405 ) 3.847 * * [simplify]: iteration done : 5000 enodes (cost 405 ) 3.847 * [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)) 3.848 * * * [progress]: adding candidates to table 4.080 * * [progress]: iteration 3 / 4 4.080 * * * [progress]: picking best candidate 4.086 * * * * [pick]: Picked # 4.086 * * * [progress]: localizing error 4.094 * * * [progress]: generating rewritten candidates 4.094 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 4.150 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 4.163 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 4.176 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 4.187 * * * [progress]: generating series expansions 4.187 * * * * [progress]: [ 1 / 4 ] generating series at (2) 4.187 * [approximate]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in (x y) around 0 4.187 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in y 4.187 * [taylor]: Taking taylor expansion of x in y 4.187 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 4.187 * [taylor]: Taking taylor expansion of 0.5 in y 4.187 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 4.187 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 4.187 * [taylor]: Taking taylor expansion of x in x 4.187 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 4.187 * [taylor]: Taking taylor expansion of 0.5 in x 4.187 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 4.187 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 4.187 * [taylor]: Taking taylor expansion of x in x 4.187 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 4.187 * [taylor]: Taking taylor expansion of 0.5 in x 4.188 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 4.188 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 4.188 * [taylor]: Taking taylor expansion of 0.5 in y 4.188 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 4.189 * [taylor]: Taking taylor expansion of 1 in y 4.190 * [taylor]: Taking taylor expansion of 0 in y 4.192 * [taylor]: Taking taylor expansion of 0 in y 4.192 * [approximate]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in (x y) around 0 4.192 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in y 4.192 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 4.192 * [taylor]: Taking taylor expansion of 0.5 in y 4.192 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 4.192 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.192 * [taylor]: Taking taylor expansion of x in y 4.192 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 4.192 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 4.192 * [taylor]: Taking taylor expansion of 0.5 in x 4.192 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 4.193 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.193 * [taylor]: Taking taylor expansion of x in x 4.193 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 4.193 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 4.193 * [taylor]: Taking taylor expansion of 0.5 in x 4.193 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 4.193 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.193 * [taylor]: Taking taylor expansion of x in x 4.194 * [taylor]: Taking taylor expansion of 1 in y 4.194 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 4.194 * [taylor]: Taking taylor expansion of 0.5 in y 4.194 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 4.196 * [taylor]: Taking taylor expansion of 0 in y 4.197 * [taylor]: Taking taylor expansion of 0 in y 4.198 * [approximate]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in (x y) around 0 4.198 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in y 4.198 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 4.198 * [taylor]: Taking taylor expansion of 0.5 in y 4.198 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 4.198 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.198 * [taylor]: Taking taylor expansion of x in y 4.198 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 4.198 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 4.198 * [taylor]: Taking taylor expansion of 0.5 in x 4.198 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 4.198 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.198 * [taylor]: Taking taylor expansion of x in x 4.199 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 4.199 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 4.199 * [taylor]: Taking taylor expansion of 0.5 in x 4.199 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 4.199 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.199 * [taylor]: Taking taylor expansion of x in x 4.203 * [taylor]: Taking taylor expansion of -1 in y 4.204 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 4.204 * [taylor]: Taking taylor expansion of 0.5 in y 4.204 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 4.206 * [taylor]: Taking taylor expansion of 0 in y 4.207 * [taylor]: Taking taylor expansion of 0 in y 4.208 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 4.208 * [approximate]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in (x y) around 0 4.208 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in y 4.208 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in y 4.208 * [taylor]: Taking taylor expansion of x in y 4.208 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 4.208 * [taylor]: Taking taylor expansion of 0.5 in y 4.208 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 4.209 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in x 4.209 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 4.209 * [taylor]: Taking taylor expansion of x in x 4.209 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 4.209 * [taylor]: Taking taylor expansion of 0.5 in x 4.209 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 4.210 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in x 4.210 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 4.210 * [taylor]: Taking taylor expansion of x in x 4.210 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 4.210 * [taylor]: Taking taylor expansion of 0.5 in x 4.210 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 4.211 * [taylor]: Taking taylor expansion of (* (sqrt (fabs (- y x))) (sqrt 0.5)) in y 4.211 * [taylor]: Taking taylor expansion of (sqrt (fabs (- y x))) in y 4.211 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 4.211 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 4.211 * [taylor]: Taking taylor expansion of 0.5 in y 4.212 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5)))) in y 4.212 * [taylor]: Taking taylor expansion of 1/2 in y 4.212 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5))) in y 4.212 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fabs (- y x)))) in y 4.213 * [taylor]: Taking taylor expansion of (/ 1 (fabs (- y x))) in y 4.213 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 4.213 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 0.5)) in y 4.213 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 4.213 * [taylor]: Taking taylor expansion of 0.5 in y 4.219 * [taylor]: Taking taylor expansion of (* -1/8 (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (pow (sqrt 0.5) 3)))) in y 4.219 * [taylor]: Taking taylor expansion of -1/8 in y 4.219 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (pow (sqrt 0.5) 3))) in y 4.219 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (fabs (- y x)) 3))) in y 4.219 * [taylor]: Taking taylor expansion of (/ 1 (pow (fabs (- y x)) 3)) in y 4.219 * [taylor]: Taking taylor expansion of (pow (fabs (- y x)) 3) in y 4.219 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 4.220 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 0.5) 3)) in y 4.220 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in y 4.220 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 4.220 * [taylor]: Taking taylor expansion of 0.5 in y 4.229 * [approximate]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in (x y) around 0 4.229 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in y 4.229 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in y 4.229 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 4.230 * [taylor]: Taking taylor expansion of 0.5 in y 4.230 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 4.230 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.230 * [taylor]: Taking taylor expansion of x in y 4.231 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in x 4.231 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 4.231 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 4.231 * [taylor]: Taking taylor expansion of 0.5 in x 4.231 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 4.231 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.231 * [taylor]: Taking taylor expansion of x in x 4.233 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in x 4.233 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 4.233 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 4.233 * [taylor]: Taking taylor expansion of 0.5 in x 4.233 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 4.233 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.233 * [taylor]: Taking taylor expansion of x in x 4.234 * [taylor]: Taking taylor expansion of 0 in y 4.234 * [taylor]: Taking taylor expansion of +nan.0 in y 4.236 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0)) in y 4.236 * [taylor]: Taking taylor expansion of +nan.0 in y 4.236 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0) in y 4.236 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 4.236 * [taylor]: Taking taylor expansion of 0.5 in y 4.236 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 4.236 * [taylor]: Taking taylor expansion of +nan.0 in y 4.239 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) (- +nan.0))) in y 4.239 * [taylor]: Taking taylor expansion of +nan.0 in y 4.239 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) (- +nan.0)) in y 4.239 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) in y 4.239 * [taylor]: Taking taylor expansion of +nan.0 in y 4.239 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 4.239 * [taylor]: Taking taylor expansion of (- +nan.0) in y 4.239 * [taylor]: Taking taylor expansion of +nan.0 in y 4.241 * [approximate]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in (x y) around 0 4.242 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in y 4.242 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in y 4.242 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 4.242 * [taylor]: Taking taylor expansion of 0.5 in y 4.242 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 4.242 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.242 * [taylor]: Taking taylor expansion of x in y 4.243 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in x 4.243 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 4.243 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 4.243 * [taylor]: Taking taylor expansion of 0.5 in x 4.243 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 4.243 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.243 * [taylor]: Taking taylor expansion of x in x 4.245 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in x 4.245 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 4.245 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 4.245 * [taylor]: Taking taylor expansion of 0.5 in x 4.245 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 4.245 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.245 * [taylor]: Taking taylor expansion of x in x 4.247 * [taylor]: Taking taylor expansion of 0 in y 4.247 * [taylor]: Taking taylor expansion of +nan.0 in y 4.249 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0)) in y 4.249 * [taylor]: Taking taylor expansion of +nan.0 in y 4.249 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0) in y 4.249 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 4.249 * [taylor]: Taking taylor expansion of 0.5 in y 4.249 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 4.249 * [taylor]: Taking taylor expansion of +nan.0 in y 4.252 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) (- +nan.0))) in y 4.252 * [taylor]: Taking taylor expansion of +nan.0 in y 4.252 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) (- +nan.0)) in y 4.252 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) in y 4.252 * [taylor]: Taking taylor expansion of +nan.0 in y 4.252 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 4.252 * [taylor]: Taking taylor expansion of (- +nan.0) in y 4.252 * [taylor]: Taking taylor expansion of +nan.0 in y 4.254 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 4.254 * [approximate]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in (x y) around 0 4.254 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in y 4.254 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in y 4.254 * [taylor]: Taking taylor expansion of x in y 4.254 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 4.255 * [taylor]: Taking taylor expansion of 0.5 in y 4.255 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 4.255 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in x 4.255 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 4.256 * [taylor]: Taking taylor expansion of x in x 4.256 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 4.256 * [taylor]: Taking taylor expansion of 0.5 in x 4.256 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 4.257 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in x 4.257 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 4.257 * [taylor]: Taking taylor expansion of x in x 4.257 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 4.257 * [taylor]: Taking taylor expansion of 0.5 in x 4.257 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 4.258 * [taylor]: Taking taylor expansion of (* (sqrt (fabs (- y x))) (sqrt 0.5)) in y 4.258 * [taylor]: Taking taylor expansion of (sqrt (fabs (- y x))) in y 4.258 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 4.258 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 4.258 * [taylor]: Taking taylor expansion of 0.5 in y 4.259 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5)))) in y 4.259 * [taylor]: Taking taylor expansion of 1/2 in y 4.259 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5))) in y 4.259 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fabs (- y x)))) in y 4.259 * [taylor]: Taking taylor expansion of (/ 1 (fabs (- y x))) in y 4.259 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 4.260 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 0.5)) in y 4.260 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 4.260 * [taylor]: Taking taylor expansion of 0.5 in y 4.266 * [taylor]: Taking taylor expansion of (* -1/8 (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (pow (sqrt 0.5) 3)))) in y 4.266 * [taylor]: Taking taylor expansion of -1/8 in y 4.266 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (pow (sqrt 0.5) 3))) in y 4.266 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (fabs (- y x)) 3))) in y 4.266 * [taylor]: Taking taylor expansion of (/ 1 (pow (fabs (- y x)) 3)) in y 4.266 * [taylor]: Taking taylor expansion of (pow (fabs (- y x)) 3) in y 4.266 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 4.267 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 0.5) 3)) in y 4.267 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in y 4.267 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 4.267 * [taylor]: Taking taylor expansion of 0.5 in y 4.277 * [approximate]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in (x y) around 0 4.277 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in y 4.277 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in y 4.277 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 4.277 * [taylor]: Taking taylor expansion of 0.5 in y 4.277 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 4.277 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.277 * [taylor]: Taking taylor expansion of x in y 4.278 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in x 4.278 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 4.278 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 4.278 * [taylor]: Taking taylor expansion of 0.5 in x 4.278 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 4.278 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.278 * [taylor]: Taking taylor expansion of x in x 4.280 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in x 4.280 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 4.280 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 4.280 * [taylor]: Taking taylor expansion of 0.5 in x 4.280 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 4.280 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.280 * [taylor]: Taking taylor expansion of x in x 4.281 * [taylor]: Taking taylor expansion of 0 in y 4.281 * [taylor]: Taking taylor expansion of +nan.0 in y 4.283 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0)) in y 4.283 * [taylor]: Taking taylor expansion of +nan.0 in y 4.283 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0) in y 4.283 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 4.283 * [taylor]: Taking taylor expansion of 0.5 in y 4.283 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 4.283 * [taylor]: Taking taylor expansion of +nan.0 in y 4.286 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) (- +nan.0))) in y 4.286 * [taylor]: Taking taylor expansion of +nan.0 in y 4.286 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) (- +nan.0)) in y 4.286 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) in y 4.286 * [taylor]: Taking taylor expansion of +nan.0 in y 4.286 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 4.286 * [taylor]: Taking taylor expansion of (- +nan.0) in y 4.286 * [taylor]: Taking taylor expansion of +nan.0 in y 4.288 * [approximate]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in (x y) around 0 4.288 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in y 4.288 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in y 4.288 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 4.288 * [taylor]: Taking taylor expansion of 0.5 in y 4.288 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 4.288 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.289 * [taylor]: Taking taylor expansion of x in y 4.290 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in x 4.290 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 4.290 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 4.290 * [taylor]: Taking taylor expansion of 0.5 in x 4.290 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 4.290 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.290 * [taylor]: Taking taylor expansion of x in x 4.297 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in x 4.297 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 4.297 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 4.297 * [taylor]: Taking taylor expansion of 0.5 in x 4.297 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 4.297 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.297 * [taylor]: Taking taylor expansion of x in x 4.299 * [taylor]: Taking taylor expansion of 0 in y 4.299 * [taylor]: Taking taylor expansion of +nan.0 in y 4.301 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0)) in y 4.301 * [taylor]: Taking taylor expansion of +nan.0 in y 4.301 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0) in y 4.301 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 4.301 * [taylor]: Taking taylor expansion of 0.5 in y 4.301 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 4.301 * [taylor]: Taking taylor expansion of +nan.0 in y 4.303 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) (- +nan.0))) in y 4.303 * [taylor]: Taking taylor expansion of +nan.0 in y 4.303 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) (- +nan.0)) in y 4.303 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) in y 4.303 * [taylor]: Taking taylor expansion of +nan.0 in y 4.303 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 4.304 * [taylor]: Taking taylor expansion of (- +nan.0) in y 4.304 * [taylor]: Taking taylor expansion of +nan.0 in y 4.306 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 4.306 * [approximate]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in (x y) around 0 4.306 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in y 4.306 * [taylor]: Taking taylor expansion of x in y 4.306 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 4.306 * [taylor]: Taking taylor expansion of 0.5 in y 4.306 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 4.306 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 4.306 * [taylor]: Taking taylor expansion of x in x 4.306 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 4.306 * [taylor]: Taking taylor expansion of 0.5 in x 4.306 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 4.306 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 4.306 * [taylor]: Taking taylor expansion of x in x 4.306 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 4.306 * [taylor]: Taking taylor expansion of 0.5 in x 4.306 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 4.307 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 4.307 * [taylor]: Taking taylor expansion of 0.5 in y 4.307 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 4.307 * [taylor]: Taking taylor expansion of 1 in y 4.308 * [taylor]: Taking taylor expansion of 0 in y 4.310 * [taylor]: Taking taylor expansion of 0 in y 4.310 * [approximate]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in (x y) around 0 4.310 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in y 4.310 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 4.310 * [taylor]: Taking taylor expansion of 0.5 in y 4.310 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 4.310 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.311 * [taylor]: Taking taylor expansion of x in y 4.311 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 4.311 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 4.311 * [taylor]: Taking taylor expansion of 0.5 in x 4.311 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 4.311 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.311 * [taylor]: Taking taylor expansion of x in x 4.311 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 4.311 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 4.311 * [taylor]: Taking taylor expansion of 0.5 in x 4.311 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 4.311 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.311 * [taylor]: Taking taylor expansion of x in x 4.312 * [taylor]: Taking taylor expansion of 1 in y 4.312 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 4.312 * [taylor]: Taking taylor expansion of 0.5 in y 4.312 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 4.314 * [taylor]: Taking taylor expansion of 0 in y 4.315 * [taylor]: Taking taylor expansion of 0 in y 4.316 * [approximate]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in (x y) around 0 4.316 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in y 4.316 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 4.316 * [taylor]: Taking taylor expansion of 0.5 in y 4.316 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 4.316 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.316 * [taylor]: Taking taylor expansion of x in y 4.316 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 4.316 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 4.316 * [taylor]: Taking taylor expansion of 0.5 in x 4.316 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 4.316 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.316 * [taylor]: Taking taylor expansion of x in x 4.316 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 4.316 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 4.316 * [taylor]: Taking taylor expansion of 0.5 in x 4.316 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 4.317 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.317 * [taylor]: Taking taylor expansion of x in x 4.317 * [taylor]: Taking taylor expansion of -1 in y 4.318 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 4.318 * [taylor]: Taking taylor expansion of 0.5 in y 4.318 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 4.320 * [taylor]: Taking taylor expansion of 0 in y 4.322 * [taylor]: Taking taylor expansion of 0 in y 4.322 * * * [progress]: simplifying candidates 4.324 * [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)))) 4.330 * * [simplify]: iteration 0 : 135 enodes (cost 2667 ) 4.360 * * [simplify]: iteration 1 : 284 enodes (cost 1909 ) 4.430 * * [simplify]: iteration 2 : 913 enodes (cost 1765 ) 5.281 * * [simplify]: iteration done : 5000 enodes (cost 1753 ) 5.282 * [simplify]: Simplified to: (expm1 (+ (/ (fabs (- y x)) 2.0) x)) (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 (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (+ (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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x)) x) (- +nan.0 (/ +nan.0 x))))) (- (+ (* (/ +nan.0 x) (- (/ (fabs (- y x)) x) (/ 1 x))) (fma +nan.0 (/ (fabs (- y x)) x) (- +nan.0 (/ +nan.0 x))))) (fma (fabs (- y x)) 0.5 x) (fma (fabs (- y x)) 0.5 x) (fma (fabs (- y x)) 0.5 x) 5.283 * * * [progress]: adding candidates to table 5.548 * * [progress]: iteration 4 / 4 5.548 * * * [progress]: picking best candidate 5.556 * * * * [pick]: Picked # 5.556 * * * [progress]: localizing error 5.570 * * * [progress]: generating rewritten candidates 5.570 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 5.571 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2) 5.572 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 5.572 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 5.580 * * * [progress]: generating series expansions 5.580 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 5.581 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 5.581 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 5.581 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 5.581 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 5.581 * [taylor]: Taking taylor expansion of 1/3 in x 5.581 * [taylor]: Taking taylor expansion of (log x) in x 5.581 * [taylor]: Taking taylor expansion of x in x 5.582 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 5.582 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 5.582 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 5.582 * [taylor]: Taking taylor expansion of 1/3 in x 5.582 * [taylor]: Taking taylor expansion of (log x) in x 5.582 * [taylor]: Taking taylor expansion of x in x 5.632 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 5.632 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 5.632 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 5.632 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 5.632 * [taylor]: Taking taylor expansion of 1/3 in x 5.632 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 5.632 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.632 * [taylor]: Taking taylor expansion of x 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 5.688 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 5.688 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 5.688 * [taylor]: Taking taylor expansion of (cbrt -1) in x 5.688 * [taylor]: Taking taylor expansion of -1 in x 5.689 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 5.689 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 5.689 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 5.689 * [taylor]: Taking taylor expansion of 1/3 in x 5.689 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 5.689 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.689 * [taylor]: Taking taylor expansion of x in x 5.690 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 5.690 * [taylor]: Taking taylor expansion of (cbrt -1) in x 5.690 * [taylor]: Taking taylor expansion of -1 in x 5.690 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 5.690 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 5.691 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 5.691 * [taylor]: Taking taylor expansion of 1/3 in x 5.691 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 5.691 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.691 * [taylor]: Taking taylor expansion of x in x 5.757 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2) 5.757 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 5.757 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 5.757 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 5.757 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 5.757 * [taylor]: Taking taylor expansion of 1/3 in x 5.757 * [taylor]: Taking taylor expansion of (log x) in x 5.757 * [taylor]: Taking taylor expansion of x in x 5.758 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 5.758 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 5.758 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 5.758 * [taylor]: Taking taylor expansion of 1/3 in x 5.758 * [taylor]: Taking taylor expansion of (log x) in x 5.758 * [taylor]: Taking taylor expansion of x in x 5.806 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 5.806 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 5.806 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 5.807 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 5.807 * [taylor]: Taking taylor expansion of 1/3 in x 5.807 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 5.807 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.807 * [taylor]: Taking taylor expansion of x in x 5.808 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 5.808 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 5.808 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 5.808 * [taylor]: Taking taylor expansion of 1/3 in x 5.808 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 5.808 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.808 * [taylor]: Taking taylor expansion of x in x 5.862 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 5.862 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 5.863 * [taylor]: Taking taylor expansion of (cbrt -1) in x 5.863 * [taylor]: Taking taylor expansion of -1 in x 5.864 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 5.864 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 5.864 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 5.864 * [taylor]: Taking taylor expansion of 1/3 in x 5.864 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 5.864 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.864 * [taylor]: Taking taylor expansion of x in x 5.865 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 5.865 * [taylor]: Taking taylor expansion of (cbrt -1) in x 5.865 * [taylor]: Taking taylor expansion of -1 in x 5.866 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 5.866 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 5.866 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 5.866 * [taylor]: Taking taylor expansion of 1/3 in x 5.866 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 5.866 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.866 * [taylor]: Taking taylor expansion of x in x 5.931 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 5.931 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 5.931 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 5.931 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 5.931 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 5.931 * [taylor]: Taking taylor expansion of 1/3 in x 5.931 * [taylor]: Taking taylor expansion of (log x) in x 5.931 * [taylor]: Taking taylor expansion of x in x 5.932 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 5.932 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 5.932 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 5.932 * [taylor]: Taking taylor expansion of 1/3 in x 5.932 * [taylor]: Taking taylor expansion of (log x) in x 5.932 * [taylor]: Taking taylor expansion of x in x 5.984 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 5.984 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 5.984 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 5.984 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 5.984 * [taylor]: Taking taylor expansion of 1/3 in x 5.984 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 5.984 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.984 * [taylor]: Taking taylor expansion of x in x 5.985 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 5.985 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 5.985 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 5.985 * [taylor]: Taking taylor expansion of 1/3 in x 5.985 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 5.985 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.985 * [taylor]: Taking taylor expansion of x in x 6.037 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 6.037 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 6.037 * [taylor]: Taking taylor expansion of (cbrt -1) in x 6.037 * [taylor]: Taking taylor expansion of -1 in x 6.038 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 6.038 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 6.038 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 6.038 * [taylor]: Taking taylor expansion of 1/3 in x 6.038 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 6.038 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.038 * [taylor]: Taking taylor expansion of x in x 6.039 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 6.039 * [taylor]: Taking taylor expansion of (cbrt -1) in x 6.039 * [taylor]: Taking taylor expansion of -1 in x 6.040 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 6.040 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 6.040 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 6.040 * [taylor]: Taking taylor expansion of 1/3 in x 6.040 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 6.040 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.040 * [taylor]: Taking taylor expansion of x in x 6.109 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 6.110 * [approximate]: Taking taylor expansion of (pow (pow x 2) 1/3) in (x) around 0 6.110 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 6.110 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 6.110 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 6.110 * [taylor]: Taking taylor expansion of 1/3 in x 6.110 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 6.110 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.110 * [taylor]: Taking taylor expansion of x in x 6.111 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 6.111 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 6.111 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 6.111 * [taylor]: Taking taylor expansion of 1/3 in x 6.111 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 6.111 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.111 * [taylor]: Taking taylor expansion of x in x 6.169 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in (x) around 0 6.169 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 6.169 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 6.169 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 6.169 * [taylor]: Taking taylor expansion of 1/3 in x 6.169 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 6.169 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.169 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.169 * [taylor]: Taking taylor expansion of x in x 6.171 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 6.171 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 6.171 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 6.171 * [taylor]: Taking taylor expansion of 1/3 in x 6.171 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 6.171 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.171 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.171 * [taylor]: Taking taylor expansion of x in x 6.232 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in (x) around 0 6.232 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 6.232 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 6.232 * [taylor]: Taking taylor expansion of (cbrt -1) in x 6.232 * [taylor]: Taking taylor expansion of -1 in x 6.233 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 6.233 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 6.233 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 6.233 * [taylor]: Taking taylor expansion of 1/3 in x 6.233 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 6.233 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.233 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.233 * [taylor]: Taking taylor expansion of x in x 6.234 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 6.234 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 6.234 * [taylor]: Taking taylor expansion of (cbrt -1) in x 6.234 * [taylor]: Taking taylor expansion of -1 in x 6.235 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 6.235 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 6.235 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 6.235 * [taylor]: Taking taylor expansion of 1/3 in x 6.235 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 6.235 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.235 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.235 * [taylor]: Taking taylor expansion of x in x 6.313 * * * [progress]: simplifying candidates 6.314 * [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)) 6.317 * * [simplify]: iteration 0 : 65 enodes (cost 554 ) 6.333 * * [simplify]: iteration 1 : 119 enodes (cost 443 ) 6.373 * * [simplify]: iteration 2 : 383 enodes (cost 423 ) 6.658 * * [simplify]: iteration 3 : 1868 enodes (cost 405 ) 7.753 * * [simplify]: iteration done : 5000 enodes (cost 405 ) 7.754 * [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)) 7.754 * * * [progress]: adding candidates to table 8.039 * [progress]: [Phase 3 of 3] Extracting. 8.039 * * [regime]: Finding splitpoints for: (# # # # #) 8.040 * * * [regime-changes]: Trying 3 branch expressions: ((+ x (/ (fabs (- y x)) 2.0)) y x) 8.040 * * * * [regimes]: Trying to branch on (+ x (/ (fabs (- y x)) 2.0)) from (# # # # #) 8.069 * * * * [regimes]: Trying to branch on y from (# # # # #) 8.091 * * * * [regimes]: Trying to branch on x from (# # # # #) 8.112 * * * [regime]: Found split indices: #