24.427 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.013 * [progress]: [Phase 2 of 3] Improving. 0.013 * [simplify]: Simplifying using # : (+ x (/ (fabs (- y x)) 2.0)) 0.016 * * [simplify]: iteration 0 : 10 enodes (cost 4 ) 0.017 * * [simplify]: iteration 1 : 11 enodes (cost 4 ) 0.018 * * [simplify]: iteration 2 : 11 enodes (cost 4 ) 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) 0.031 * * * [progress]: generating series expansions 0.031 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.031 * [approximate]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in (x y) around 0 0.031 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in y 0.031 * [taylor]: Taking taylor expansion of x in y 0.031 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 0.031 * [taylor]: Taking taylor expansion of 0.5 in y 0.031 * [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 0.032 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 0.032 * [taylor]: Taking taylor expansion of 0.5 in x 0.032 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 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 0.032 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 0.032 * [taylor]: Taking taylor expansion of 0.5 in x 0.032 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 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 0.033 * [taylor]: Taking taylor expansion of 1 in y 0.034 * [taylor]: Taking taylor expansion of 0 in y 0.036 * [taylor]: Taking taylor expansion of 0 in y 0.036 * [approximate]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in (x y) around 0 0.036 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in y 0.036 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 0.036 * [taylor]: Taking taylor expansion of 0.5 in y 0.036 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.036 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.036 * [taylor]: Taking taylor expansion of x in y 0.036 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 0.036 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 0.036 * [taylor]: Taking taylor expansion of 0.5 in x 0.036 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.036 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [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 1 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 0.039 * [taylor]: Taking taylor expansion of 0 in y 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.041 * [approximate]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in (x y) around 0 0.041 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in y 0.041 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 0.041 * [taylor]: Taking taylor expansion of 0.5 in y 0.041 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.041 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.041 * [taylor]: Taking taylor expansion of x in y 0.041 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 0.041 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 0.041 * [taylor]: Taking taylor expansion of 0.5 in x 0.041 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 0.042 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 0.042 * [taylor]: Taking taylor expansion of 0.5 in x 0.042 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of -1 in y 0.044 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 0.044 * [taylor]: Taking taylor expansion of 0.5 in y 0.044 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.047 * * * [progress]: simplifying candidates 0.048 * [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 : 88 enodes (cost 110 ) 0.053 * * [simplify]: iteration 1 : 226 enodes (cost 97 ) 0.056 * * [simplify]: iteration 2 : 540 enodes (cost 97 ) 0.065 * * [simplify]: iteration 3 : 1522 enodes (cost 97 ) 0.103 * * [simplify]: iteration 4 : 5001 enodes (cost 97 ) 0.104 * [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 (/ (fabs (- y x)) 2.0) (- (/ (fabs (- y x)) 2.0) x) (* x 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) 0.105 * * * [progress]: adding candidates to table 0.171 * * [progress]: iteration 2 / 4 0.171 * * * [progress]: picking best candidate 0.179 * * * * [pick]: Picked # 0.179 * * * [progress]: localizing error 0.187 * * * [progress]: generating rewritten candidates 0.187 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.188 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.189 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.190 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.200 * * * [progress]: generating series expansions 0.200 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.200 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.200 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.200 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.200 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.200 * [taylor]: Taking taylor expansion of 1/3 in x 0.200 * [taylor]: Taking taylor expansion of (log x) in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.201 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.201 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.201 * [taylor]: Taking taylor expansion of 1/3 in x 0.201 * [taylor]: Taking taylor expansion of (log x) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.248 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.248 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.248 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.248 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.248 * [taylor]: Taking taylor expansion of 1/3 in x 0.248 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.248 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.249 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.249 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.249 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.249 * [taylor]: Taking taylor expansion of 1/3 in x 0.249 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.249 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.304 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.304 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.304 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.304 * [taylor]: Taking taylor expansion of -1 in x 0.304 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.305 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.305 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.305 * [taylor]: Taking taylor expansion of 1/3 in x 0.305 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.305 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.305 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.305 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.305 * [taylor]: Taking taylor expansion of -1 in x 0.306 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.306 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.306 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.306 * [taylor]: Taking taylor expansion of 1/3 in x 0.306 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.371 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.371 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.371 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.371 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.371 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.371 * [taylor]: Taking taylor expansion of 1/3 in x 0.372 * [taylor]: Taking taylor expansion of (log x) in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.372 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.372 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.372 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.372 * [taylor]: Taking taylor expansion of 1/3 in x 0.372 * [taylor]: Taking taylor expansion of (log x) in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.424 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.424 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.424 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.424 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.424 * [taylor]: Taking taylor expansion of 1/3 in x 0.424 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.424 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.425 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.425 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.425 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.425 * [taylor]: Taking taylor expansion of 1/3 in x 0.425 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.425 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.474 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.474 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.474 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.474 * [taylor]: Taking taylor expansion of -1 in x 0.475 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.475 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.475 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.475 * [taylor]: Taking taylor expansion of 1/3 in x 0.475 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.476 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.476 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.476 * [taylor]: Taking taylor expansion of -1 in x 0.477 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.477 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.477 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.477 * [taylor]: Taking taylor expansion of 1/3 in x 0.477 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.477 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.543 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.543 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.543 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.544 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.544 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.544 * [taylor]: Taking taylor expansion of 1/3 in x 0.544 * [taylor]: Taking taylor expansion of (log x) in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.544 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.544 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.544 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.544 * [taylor]: Taking taylor expansion of 1/3 in x 0.544 * [taylor]: Taking taylor expansion of (log x) in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.597 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.597 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.597 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.597 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.598 * [taylor]: Taking taylor expansion of 1/3 in x 0.598 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.598 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.598 * [taylor]: Taking taylor expansion of x in x 0.598 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.599 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.599 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.599 * [taylor]: Taking taylor expansion of 1/3 in x 0.599 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.599 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.599 * [taylor]: Taking taylor expansion of x in x 0.657 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.657 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.657 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.657 * [taylor]: Taking taylor expansion of -1 in x 0.658 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.658 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.658 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.658 * [taylor]: Taking taylor expansion of 1/3 in x 0.658 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.658 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.658 * [taylor]: Taking taylor expansion of x in x 0.659 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.659 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.659 * [taylor]: Taking taylor expansion of -1 in x 0.660 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.660 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.660 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.660 * [taylor]: Taking taylor expansion of 1/3 in x 0.660 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.660 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.660 * [taylor]: Taking taylor expansion of x in x 0.729 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.729 * [approximate]: Taking taylor expansion of (pow (pow x 2) 1/3) in (x) around 0 0.729 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 0.729 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 0.729 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 0.729 * [taylor]: Taking taylor expansion of 1/3 in x 0.729 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 0.729 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.730 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 0.730 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 0.730 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 0.730 * [taylor]: Taking taylor expansion of 1/3 in x 0.730 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 0.730 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.730 * [taylor]: Taking taylor expansion of x in x 0.782 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in (x) around 0 0.782 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.782 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.782 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.782 * [taylor]: Taking taylor expansion of 1/3 in x 0.782 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.782 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.782 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.782 * [taylor]: Taking taylor expansion of x in x 0.783 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.783 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.783 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.783 * [taylor]: Taking taylor expansion of 1/3 in x 0.783 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.783 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.783 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.783 * [taylor]: Taking taylor expansion of x in x 0.844 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in (x) around 0 0.844 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 0.844 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 0.844 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.844 * [taylor]: Taking taylor expansion of -1 in x 0.845 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.845 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.845 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.845 * [taylor]: Taking taylor expansion of 1/3 in x 0.845 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.845 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.845 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.845 * [taylor]: Taking taylor expansion of x in x 0.846 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 0.846 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 0.846 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.846 * [taylor]: Taking taylor expansion of -1 in x 0.847 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.847 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.847 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.847 * [taylor]: Taking taylor expansion of 1/3 in x 0.847 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.847 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.847 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.847 * [taylor]: Taking taylor expansion of x in x 0.924 * * * [progress]: simplifying candidates 0.925 * [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)) 0.930 * * [simplify]: iteration 0 : 119 enodes (cost 308 ) 0.933 * * [simplify]: iteration 1 : 477 enodes (cost 281 ) 0.946 * * [simplify]: iteration 2 : 2972 enodes (cost 258 ) 1.010 * * [simplify]: iteration 3 : 5001 enodes (cost 255 ) 1.012 * [simplify]: Simplified to: (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)) 1 (pow x 1/3) (* (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 (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (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 (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (* (cbrt x) (cbrt x))) (log1p (* (cbrt x) (cbrt x))) 2/3 2 (pow x 2) (pow x 2/3) 2 (* 2/3 (log x)) (* 2/3 (log x)) (exp (pow x 2/3)) (pow x 2) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (* (cbrt x) (cbrt x))) (pow x 2) (fabs (pow x 1/3)) (fabs (pow x 1/3)) (* (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))) 1 (pow x 2/3) (pow (cbrt (cbrt x)) 4) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (pow x 1/3) (pow x 1/3) 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))) (pow x 1/3) (pow x 1/3) 2/3 2 (* (cbrt x) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt x) (cbrt (sqrt x))) (pow x 1/3) (pow (cbrt (cbrt x)) 5) (pow (sqrt (cbrt x)) 3) (pow x 1/3) (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) (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)) 1.012 * * * [progress]: adding candidates to table 1.242 * * [progress]: iteration 3 / 4 1.242 * * * [progress]: picking best candidate 1.249 * * * * [pick]: Picked # 1.250 * * * [progress]: localizing error 1.262 * * * [progress]: generating rewritten candidates 1.262 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.262 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.264 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2) 1.265 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1) 1.267 * * * [progress]: generating series expansions 1.267 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.267 * [approximate]: Taking taylor expansion of (expm1 (log1p (pow (pow x 2) 1/3))) in (x) around 0 1.267 * [taylor]: Taking taylor expansion of (expm1 (log1p (pow (pow x 2) 1/3))) in x 1.267 * [taylor]: Rewrote expression to (- (exp (log1p (pow (pow x 2) 1/3))) 1) 1.267 * [taylor]: Taking taylor expansion of (exp (log1p (pow (pow x 2) 1/3))) in x 1.267 * [taylor]: Taking taylor expansion of (log1p (pow (pow x 2) 1/3)) in x 1.267 * [taylor]: Rewrote expression to (log (+ 1 (pow (pow x 2) 1/3))) 1.267 * [taylor]: Taking taylor expansion of (+ 1 (pow (pow x 2) 1/3)) in x 1.267 * [taylor]: Taking taylor expansion of 1 in x 1.267 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 1.267 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 1.267 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 1.267 * [taylor]: Taking taylor expansion of 1/3 in x 1.267 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 1.267 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.267 * [taylor]: Taking taylor expansion of x in x 1.268 * [taylor]: Taking taylor expansion of 1 in x 1.268 * [taylor]: Taking taylor expansion of (expm1 (log1p (pow (pow x 2) 1/3))) in x 1.269 * [taylor]: Rewrote expression to (- (exp (log1p (pow (pow x 2) 1/3))) 1) 1.269 * [taylor]: Taking taylor expansion of (exp (log1p (pow (pow x 2) 1/3))) in x 1.269 * [taylor]: Taking taylor expansion of (log1p (pow (pow x 2) 1/3)) in x 1.269 * [taylor]: Rewrote expression to (log (+ 1 (pow (pow x 2) 1/3))) 1.269 * [taylor]: Taking taylor expansion of (+ 1 (pow (pow x 2) 1/3)) in x 1.269 * [taylor]: Taking taylor expansion of 1 in x 1.269 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 1.269 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 1.269 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 1.269 * [taylor]: Taking taylor expansion of 1/3 in x 1.269 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 1.269 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.269 * [taylor]: Taking taylor expansion of x in x 1.270 * [taylor]: Taking taylor expansion of 1 in x 1.355 * [approximate]: Taking taylor expansion of (expm1 (log1p (pow (/ 1 (pow x 2)) 1/3))) in (x) around 0 1.355 * [taylor]: Taking taylor expansion of (expm1 (log1p (pow (/ 1 (pow x 2)) 1/3))) in x 1.355 * [taylor]: Rewrote expression to (- (exp (log1p (pow (/ 1 (pow x 2)) 1/3))) 1) 1.355 * [taylor]: Taking taylor expansion of (exp (log1p (pow (/ 1 (pow x 2)) 1/3))) in x 1.355 * [taylor]: Taking taylor expansion of (log1p (pow (/ 1 (pow x 2)) 1/3)) in x 1.355 * [taylor]: Rewrote expression to (log (+ 1 (pow (/ 1 (pow x 2)) 1/3))) 1.355 * [taylor]: Taking taylor expansion of (+ 1 (pow (/ 1 (pow x 2)) 1/3)) in x 1.355 * [taylor]: Taking taylor expansion of 1 in x 1.355 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.355 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.355 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.355 * [taylor]: Taking taylor expansion of 1/3 in x 1.355 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.355 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.355 * [taylor]: Taking taylor expansion of x in x 1.356 * [taylor]: Taking taylor expansion of 1 in x 1.356 * [taylor]: Taking taylor expansion of (expm1 (log1p (pow (/ 1 (pow x 2)) 1/3))) in x 1.356 * [taylor]: Rewrote expression to (- (exp (log1p (pow (/ 1 (pow x 2)) 1/3))) 1) 1.356 * [taylor]: Taking taylor expansion of (exp (log1p (pow (/ 1 (pow x 2)) 1/3))) in x 1.356 * [taylor]: Taking taylor expansion of (log1p (pow (/ 1 (pow x 2)) 1/3)) in x 1.356 * [taylor]: Rewrote expression to (log (+ 1 (pow (/ 1 (pow x 2)) 1/3))) 1.356 * [taylor]: Taking taylor expansion of (+ 1 (pow (/ 1 (pow x 2)) 1/3)) in x 1.356 * [taylor]: Taking taylor expansion of 1 in x 1.356 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.356 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.356 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.357 * [taylor]: Taking taylor expansion of 1/3 in x 1.357 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.357 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.357 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.357 * [taylor]: Taking taylor expansion of x in x 1.358 * [taylor]: Taking taylor expansion of 1 in x 1.450 * [approximate]: Taking taylor expansion of (expm1 (log1p (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)))) in (x) around 0 1.450 * [taylor]: Taking taylor expansion of (expm1 (log1p (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)))) in x 1.450 * [taylor]: Rewrote expression to (- (exp (log1p (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)))) 1) 1.450 * [taylor]: Taking taylor expansion of (exp (log1p (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)))) in x 1.450 * [taylor]: Taking taylor expansion of (log1p (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3))) in x 1.450 * [taylor]: Rewrote expression to (log (+ 1 (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)))) 1.450 * [taylor]: Taking taylor expansion of (+ 1 (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3))) in x 1.450 * [taylor]: Taking taylor expansion of 1 in x 1.450 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 1.450 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 1.450 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.450 * [taylor]: Taking taylor expansion of -1 in x 1.451 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.451 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.451 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.451 * [taylor]: Taking taylor expansion of 1/3 in x 1.451 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.451 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.451 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.451 * [taylor]: Taking taylor expansion of x in x 1.456 * [taylor]: Taking taylor expansion of 1 in x 1.456 * [taylor]: Taking taylor expansion of (expm1 (log1p (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)))) in x 1.456 * [taylor]: Rewrote expression to (- (exp (log1p (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)))) 1) 1.456 * [taylor]: Taking taylor expansion of (exp (log1p (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)))) in x 1.456 * [taylor]: Taking taylor expansion of (log1p (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3))) in x 1.456 * [taylor]: Rewrote expression to (log (+ 1 (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)))) 1.456 * [taylor]: Taking taylor expansion of (+ 1 (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3))) in x 1.456 * [taylor]: Taking taylor expansion of 1 in x 1.456 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 1.456 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 1.456 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.456 * [taylor]: Taking taylor expansion of -1 in x 1.457 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.457 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.457 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.457 * [taylor]: Taking taylor expansion of 1/3 in x 1.457 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.457 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.457 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.457 * [taylor]: Taking taylor expansion of x in x 1.462 * [taylor]: Taking taylor expansion of 1 in x 1.600 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.600 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.600 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.600 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.600 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.600 * [taylor]: Taking taylor expansion of 1/3 in x 1.600 * [taylor]: Taking taylor expansion of (log x) in x 1.600 * [taylor]: Taking taylor expansion of x in x 1.601 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.601 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.601 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.601 * [taylor]: Taking taylor expansion of 1/3 in x 1.601 * [taylor]: Taking taylor expansion of (log x) in x 1.601 * [taylor]: Taking taylor expansion of x in x 1.652 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.652 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.652 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.652 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.652 * [taylor]: Taking taylor expansion of 1/3 in x 1.652 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.652 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.652 * [taylor]: Taking taylor expansion of x in x 1.653 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.653 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.653 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.653 * [taylor]: Taking taylor expansion of 1/3 in x 1.653 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.653 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.653 * [taylor]: Taking taylor expansion of x in x 1.709 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.709 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.709 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.709 * [taylor]: Taking taylor expansion of -1 in x 1.710 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.710 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.710 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.710 * [taylor]: Taking taylor expansion of 1/3 in x 1.710 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.710 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.710 * [taylor]: Taking taylor expansion of x in x 1.711 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.711 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.711 * [taylor]: Taking taylor expansion of -1 in x 1.712 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.712 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.712 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.712 * [taylor]: Taking taylor expansion of 1/3 in x 1.712 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.712 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.712 * [taylor]: Taking taylor expansion of x in x 1.777 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2) 1.777 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.777 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.777 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.777 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.777 * [taylor]: Taking taylor expansion of 1/3 in x 1.777 * [taylor]: Taking taylor expansion of (log x) in x 1.777 * [taylor]: Taking taylor expansion of x in x 1.778 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.778 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.778 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.778 * [taylor]: Taking taylor expansion of 1/3 in x 1.778 * [taylor]: Taking taylor expansion of (log x) in x 1.778 * [taylor]: Taking taylor expansion of x in x 1.824 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.824 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.824 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.824 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.824 * [taylor]: Taking taylor expansion of 1/3 in x 1.824 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.824 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.824 * [taylor]: Taking taylor expansion of x in x 1.825 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.825 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.825 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.825 * [taylor]: Taking taylor expansion of 1/3 in x 1.825 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.825 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.825 * [taylor]: Taking taylor expansion of x in x 1.881 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.881 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.881 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.881 * [taylor]: Taking taylor expansion of -1 in x 1.881 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.881 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.881 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.881 * [taylor]: Taking taylor expansion of 1/3 in x 1.881 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.881 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.881 * [taylor]: Taking taylor expansion of x in x 1.882 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.882 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.882 * [taylor]: Taking taylor expansion of -1 in x 1.883 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.883 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.883 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.883 * [taylor]: Taking taylor expansion of 1/3 in x 1.883 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.883 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.883 * [taylor]: Taking taylor expansion of x in x 1.949 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1) 1.949 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.949 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.949 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.949 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.949 * [taylor]: Taking taylor expansion of 1/3 in x 1.949 * [taylor]: Taking taylor expansion of (log x) in x 1.949 * [taylor]: Taking taylor expansion of x in x 1.950 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.950 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.950 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.950 * [taylor]: Taking taylor expansion of 1/3 in x 1.950 * [taylor]: Taking taylor expansion of (log x) in x 1.950 * [taylor]: Taking taylor expansion of x in x 2.002 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 2.002 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.002 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.002 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.002 * [taylor]: Taking taylor expansion of 1/3 in x 2.002 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.002 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.002 * [taylor]: Taking taylor expansion of x in x 2.003 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.003 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.003 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.003 * [taylor]: Taking taylor expansion of 1/3 in x 2.003 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.003 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.003 * [taylor]: Taking taylor expansion of x in x 2.052 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 2.052 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.052 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.052 * [taylor]: Taking taylor expansion of -1 in x 2.053 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.053 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.053 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.053 * [taylor]: Taking taylor expansion of 1/3 in x 2.053 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.053 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.053 * [taylor]: Taking taylor expansion of x in x 2.054 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.054 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.054 * [taylor]: Taking taylor expansion of -1 in x 2.055 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.055 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.055 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.055 * [taylor]: Taking taylor expansion of 1/3 in x 2.055 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.055 * [taylor]: Taking taylor expansion of x in x 2.121 * * * [progress]: simplifying candidates 2.122 * [simplify]: Simplifying using # : (exp (log1p (* (cbrt x) (cbrt x)))) (expm1 (expm1 (log1p (* (cbrt x) (cbrt x))))) (log1p (expm1 (log1p (* (cbrt x) (cbrt x))))) (log (expm1 (log1p (* (cbrt x) (cbrt x))))) (exp (expm1 (log1p (* (cbrt x) (cbrt x))))) (* (cbrt (expm1 (log1p (* (cbrt x) (cbrt x))))) (cbrt (expm1 (log1p (* (cbrt x) (cbrt x)))))) (cbrt (expm1 (log1p (* (cbrt x) (cbrt x))))) (* (* (expm1 (log1p (* (cbrt x) (cbrt x)))) (expm1 (log1p (* (cbrt x) (cbrt x))))) (expm1 (log1p (* (cbrt x) (cbrt x))))) (sqrt (expm1 (log1p (* (cbrt x) (cbrt x))))) (sqrt (expm1 (log1p (* (cbrt x) (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)) (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)) (pow x 2/3) (pow (/ 1 x) -2/3) (* (pow (cbrt -1) 2) (pow (pow x 2) 1/3)) (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)) 2.125 * * [simplify]: iteration 0 : 81 enodes (cost 208 ) 2.127 * * [simplify]: iteration 1 : 201 enodes (cost 168 ) 2.131 * * [simplify]: iteration 2 : 657 enodes (cost 161 ) 2.146 * * [simplify]: iteration 3 : 2989 enodes (cost 160 ) 2.216 * * [simplify]: iteration 4 : 5001 enodes (cost 157 ) 2.217 * [simplify]: Simplified to: (exp (log1p (* (cbrt x) (cbrt x)))) (expm1 (expm1 (log1p (* (cbrt x) (cbrt x))))) (log1p (* (cbrt x) (cbrt x))) (* 2/3 (log x)) (pow (exp (pow x 1/3)) (pow x 1/3)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (* (cbrt x) (cbrt x))) (pow x 2) (fabs (pow x 1/3)) (fabs (pow x 1/3)) (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)) 1 (pow x 1/3) (* (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 (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (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 (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (pow x 2/3) (pow (/ 1 x) -2/3) (* (pow (cbrt -1) 2) (pow x 2/3)) (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)) 2.218 * * * [progress]: adding candidates to table 2.418 * * [progress]: iteration 4 / 4 2.418 * * * [progress]: picking best candidate 2.423 * * * * [pick]: Picked # 2.423 * * * [progress]: localizing error 2.430 * * * [progress]: generating rewritten candidates 2.430 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.445 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 2.451 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 2.461 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 2.470 * * * [progress]: generating series expansions 2.470 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.470 * [approximate]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in (x y) around 0 2.470 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in y 2.470 * [taylor]: Taking taylor expansion of x in y 2.470 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 2.470 * [taylor]: Taking taylor expansion of 0.5 in y 2.470 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 2.470 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 2.470 * [taylor]: Taking taylor expansion of x in x 2.470 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 2.470 * [taylor]: Taking taylor expansion of 0.5 in x 2.470 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 2.470 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 2.470 * [taylor]: Taking taylor expansion of x in x 2.470 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 2.470 * [taylor]: Taking taylor expansion of 0.5 in x 2.470 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 2.471 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 2.471 * [taylor]: Taking taylor expansion of 0.5 in y 2.471 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 2.472 * [taylor]: Taking taylor expansion of 1 in y 2.473 * [taylor]: Taking taylor expansion of 0 in y 2.474 * [taylor]: Taking taylor expansion of 0 in y 2.475 * [approximate]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in (x y) around 0 2.475 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in y 2.475 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 2.475 * [taylor]: Taking taylor expansion of 0.5 in y 2.475 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 2.475 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.475 * [taylor]: Taking taylor expansion of x in y 2.475 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 2.475 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 2.475 * [taylor]: Taking taylor expansion of 0.5 in x 2.475 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 2.475 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.475 * [taylor]: Taking taylor expansion of x in x 2.475 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 2.475 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 2.475 * [taylor]: Taking taylor expansion of 0.5 in x 2.475 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 2.476 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.476 * [taylor]: Taking taylor expansion of x in x 2.476 * [taylor]: Taking taylor expansion of 1 in y 2.477 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 2.477 * [taylor]: Taking taylor expansion of 0.5 in y 2.477 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 2.478 * [taylor]: Taking taylor expansion of 0 in y 2.480 * [taylor]: Taking taylor expansion of 0 in y 2.480 * [approximate]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in (x y) around 0 2.480 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in y 2.480 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 2.480 * [taylor]: Taking taylor expansion of 0.5 in y 2.480 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 2.480 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.480 * [taylor]: Taking taylor expansion of x in y 2.481 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 2.481 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 2.481 * [taylor]: Taking taylor expansion of 0.5 in x 2.481 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 2.481 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.481 * [taylor]: Taking taylor expansion of x in x 2.481 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 2.481 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 2.481 * [taylor]: Taking taylor expansion of 0.5 in x 2.481 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 2.481 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.481 * [taylor]: Taking taylor expansion of x in x 2.482 * [taylor]: Taking taylor expansion of -1 in y 2.483 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 2.483 * [taylor]: Taking taylor expansion of 0.5 in y 2.483 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 2.484 * [taylor]: Taking taylor expansion of 0 in y 2.486 * [taylor]: Taking taylor expansion of 0 in y 2.486 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 2.487 * [approximate]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in (x y) around 0 2.487 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in y 2.487 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in y 2.487 * [taylor]: Taking taylor expansion of x in y 2.487 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 2.487 * [taylor]: Taking taylor expansion of 0.5 in y 2.487 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 2.488 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in x 2.488 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 2.488 * [taylor]: Taking taylor expansion of x in x 2.488 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 2.488 * [taylor]: Taking taylor expansion of 0.5 in x 2.488 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 2.488 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in x 2.489 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 2.489 * [taylor]: Taking taylor expansion of x in x 2.489 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 2.489 * [taylor]: Taking taylor expansion of 0.5 in x 2.489 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 2.489 * [taylor]: Taking taylor expansion of (* (sqrt (fabs (- y x))) (sqrt 0.5)) in y 2.489 * [taylor]: Taking taylor expansion of (sqrt (fabs (- y x))) in y 2.490 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 2.490 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 2.490 * [taylor]: Taking taylor expansion of 0.5 in y 2.491 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5)))) in y 2.491 * [taylor]: Taking taylor expansion of 1/2 in y 2.491 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5))) in y 2.491 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fabs (- y x)))) in y 2.491 * [taylor]: Taking taylor expansion of (/ 1 (fabs (- y x))) in y 2.491 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 2.491 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 0.5)) in y 2.491 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 2.492 * [taylor]: Taking taylor expansion of 0.5 in y 2.497 * [taylor]: Taking taylor expansion of (* -1/8 (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (pow (sqrt 0.5) 3)))) in y 2.497 * [taylor]: Taking taylor expansion of -1/8 in y 2.497 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (pow (sqrt 0.5) 3))) in y 2.497 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (fabs (- y x)) 3))) in y 2.497 * [taylor]: Taking taylor expansion of (/ 1 (pow (fabs (- y x)) 3)) in y 2.497 * [taylor]: Taking taylor expansion of (pow (fabs (- y x)) 3) in y 2.497 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 2.498 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 0.5) 3)) in y 2.498 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in y 2.498 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 2.498 * [taylor]: Taking taylor expansion of 0.5 in y 2.508 * [approximate]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in (x y) around 0 2.508 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in y 2.508 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in y 2.508 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 2.508 * [taylor]: Taking taylor expansion of 0.5 in y 2.508 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 2.508 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.508 * [taylor]: Taking taylor expansion of x in y 2.509 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in x 2.509 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 2.509 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 2.510 * [taylor]: Taking taylor expansion of 0.5 in x 2.510 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 2.510 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.510 * [taylor]: Taking taylor expansion of x in x 2.511 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in x 2.511 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 2.511 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 2.511 * [taylor]: Taking taylor expansion of 0.5 in x 2.511 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 2.511 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.511 * [taylor]: Taking taylor expansion of x in x 2.513 * [taylor]: Taking taylor expansion of 0 in y 2.513 * [taylor]: Taking taylor expansion of +nan.0 in y 2.514 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0)) in y 2.514 * [taylor]: Taking taylor expansion of +nan.0 in y 2.515 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0) in y 2.515 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 2.515 * [taylor]: Taking taylor expansion of 0.5 in y 2.515 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 2.515 * [taylor]: Taking taylor expansion of +nan.0 in y 2.517 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) (- +nan.0))) in y 2.517 * [taylor]: Taking taylor expansion of +nan.0 in y 2.517 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) (- +nan.0)) in y 2.517 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) in y 2.517 * [taylor]: Taking taylor expansion of +nan.0 in y 2.517 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 2.517 * [taylor]: Taking taylor expansion of (- +nan.0) in y 2.517 * [taylor]: Taking taylor expansion of +nan.0 in y 2.520 * [approximate]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in (x y) around 0 2.520 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in y 2.520 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in y 2.520 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 2.520 * [taylor]: Taking taylor expansion of 0.5 in y 2.520 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 2.520 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.520 * [taylor]: Taking taylor expansion of x in y 2.521 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in x 2.521 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 2.521 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 2.521 * [taylor]: Taking taylor expansion of 0.5 in x 2.521 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 2.521 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.521 * [taylor]: Taking taylor expansion of x in x 2.523 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in x 2.523 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 2.523 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 2.523 * [taylor]: Taking taylor expansion of 0.5 in x 2.523 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 2.523 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.523 * [taylor]: Taking taylor expansion of x in x 2.525 * [taylor]: Taking taylor expansion of 0 in y 2.525 * [taylor]: Taking taylor expansion of +nan.0 in y 2.527 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0)) in y 2.527 * [taylor]: Taking taylor expansion of +nan.0 in y 2.527 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0) in y 2.527 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 2.527 * [taylor]: Taking taylor expansion of 0.5 in y 2.527 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 2.527 * [taylor]: Taking taylor expansion of +nan.0 in y 2.530 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) (- +nan.0))) in y 2.530 * [taylor]: Taking taylor expansion of +nan.0 in y 2.530 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) (- +nan.0)) in y 2.530 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) in y 2.530 * [taylor]: Taking taylor expansion of +nan.0 in y 2.530 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 2.530 * [taylor]: Taking taylor expansion of (- +nan.0) in y 2.530 * [taylor]: Taking taylor expansion of +nan.0 in y 2.532 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 2.532 * [approximate]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in (x y) around 0 2.532 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in y 2.532 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in y 2.532 * [taylor]: Taking taylor expansion of x in y 2.532 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 2.532 * [taylor]: Taking taylor expansion of 0.5 in y 2.532 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 2.533 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in x 2.533 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 2.533 * [taylor]: Taking taylor expansion of x in x 2.533 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 2.533 * [taylor]: Taking taylor expansion of 0.5 in x 2.533 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 2.534 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in x 2.534 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 2.534 * [taylor]: Taking taylor expansion of x in x 2.534 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 2.534 * [taylor]: Taking taylor expansion of 0.5 in x 2.534 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 2.535 * [taylor]: Taking taylor expansion of (* (sqrt (fabs (- y x))) (sqrt 0.5)) in y 2.535 * [taylor]: Taking taylor expansion of (sqrt (fabs (- y x))) in y 2.535 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 2.535 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 2.535 * [taylor]: Taking taylor expansion of 0.5 in y 2.537 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5)))) in y 2.537 * [taylor]: Taking taylor expansion of 1/2 in y 2.537 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5))) in y 2.537 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fabs (- y x)))) in y 2.537 * [taylor]: Taking taylor expansion of (/ 1 (fabs (- y x))) in y 2.537 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 2.537 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 0.5)) in y 2.537 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 2.537 * [taylor]: Taking taylor expansion of 0.5 in y 2.548 * [taylor]: Taking taylor expansion of (* -1/8 (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (pow (sqrt 0.5) 3)))) in y 2.548 * [taylor]: Taking taylor expansion of -1/8 in y 2.548 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (pow (sqrt 0.5) 3))) in y 2.548 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (fabs (- y x)) 3))) in y 2.548 * [taylor]: Taking taylor expansion of (/ 1 (pow (fabs (- y x)) 3)) in y 2.548 * [taylor]: Taking taylor expansion of (pow (fabs (- y x)) 3) in y 2.548 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 2.549 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 0.5) 3)) in y 2.549 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in y 2.549 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 2.549 * [taylor]: Taking taylor expansion of 0.5 in y 2.558 * [approximate]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in (x y) around 0 2.558 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in y 2.558 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in y 2.558 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 2.558 * [taylor]: Taking taylor expansion of 0.5 in y 2.558 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 2.559 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.559 * [taylor]: Taking taylor expansion of x in y 2.560 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in x 2.560 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 2.560 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 2.560 * [taylor]: Taking taylor expansion of 0.5 in x 2.560 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 2.560 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.560 * [taylor]: Taking taylor expansion of x in x 2.561 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in x 2.561 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 2.561 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 2.561 * [taylor]: Taking taylor expansion of 0.5 in x 2.561 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 2.561 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.561 * [taylor]: Taking taylor expansion of x in x 2.563 * [taylor]: Taking taylor expansion of 0 in y 2.563 * [taylor]: Taking taylor expansion of +nan.0 in y 2.565 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0)) in y 2.565 * [taylor]: Taking taylor expansion of +nan.0 in y 2.565 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0) in y 2.565 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 2.565 * [taylor]: Taking taylor expansion of 0.5 in y 2.565 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 2.565 * [taylor]: Taking taylor expansion of +nan.0 in y 2.567 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) (- +nan.0))) in y 2.567 * [taylor]: Taking taylor expansion of +nan.0 in y 2.567 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) (- +nan.0)) in y 2.567 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) in y 2.567 * [taylor]: Taking taylor expansion of +nan.0 in y 2.567 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 2.567 * [taylor]: Taking taylor expansion of (- +nan.0) in y 2.567 * [taylor]: Taking taylor expansion of +nan.0 in y 2.570 * [approximate]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in (x y) around 0 2.570 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in y 2.570 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in y 2.570 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 2.570 * [taylor]: Taking taylor expansion of 0.5 in y 2.570 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 2.570 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.570 * [taylor]: Taking taylor expansion of x in y 2.571 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in x 2.571 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 2.571 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 2.571 * [taylor]: Taking taylor expansion of 0.5 in x 2.571 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 2.571 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.571 * [taylor]: Taking taylor expansion of x in x 2.573 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in x 2.573 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 2.573 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 2.573 * [taylor]: Taking taylor expansion of 0.5 in x 2.573 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 2.573 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.573 * [taylor]: Taking taylor expansion of x in x 2.575 * [taylor]: Taking taylor expansion of 0 in y 2.575 * [taylor]: Taking taylor expansion of +nan.0 in y 2.577 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0)) in y 2.577 * [taylor]: Taking taylor expansion of +nan.0 in y 2.577 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0) in y 2.577 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 2.577 * [taylor]: Taking taylor expansion of 0.5 in y 2.577 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 2.577 * [taylor]: Taking taylor expansion of +nan.0 in y 2.579 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) (- +nan.0))) in y 2.580 * [taylor]: Taking taylor expansion of +nan.0 in y 2.580 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) (- +nan.0)) in y 2.580 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) in y 2.580 * [taylor]: Taking taylor expansion of +nan.0 in y 2.580 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 2.580 * [taylor]: Taking taylor expansion of (- +nan.0) in y 2.580 * [taylor]: Taking taylor expansion of +nan.0 in y 2.582 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 2.582 * [approximate]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in (x y) around 0 2.582 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in y 2.582 * [taylor]: Taking taylor expansion of x in y 2.582 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 2.582 * [taylor]: Taking taylor expansion of 0.5 in y 2.582 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 2.582 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 2.582 * [taylor]: Taking taylor expansion of x in x 2.582 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 2.582 * [taylor]: Taking taylor expansion of 0.5 in x 2.582 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 2.582 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 2.582 * [taylor]: Taking taylor expansion of x in x 2.582 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 2.582 * [taylor]: Taking taylor expansion of 0.5 in x 2.582 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 2.583 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 2.583 * [taylor]: Taking taylor expansion of 0.5 in y 2.583 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 2.583 * [taylor]: Taking taylor expansion of 1 in y 2.584 * [taylor]: Taking taylor expansion of 0 in y 2.586 * [taylor]: Taking taylor expansion of 0 in y 2.586 * [approximate]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in (x y) around 0 2.586 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in y 2.586 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 2.586 * [taylor]: Taking taylor expansion of 0.5 in y 2.586 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 2.586 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.586 * [taylor]: Taking taylor expansion of x in y 2.586 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 2.586 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 2.586 * [taylor]: Taking taylor expansion of 0.5 in x 2.586 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 2.587 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.587 * [taylor]: Taking taylor expansion of x in x 2.587 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 2.587 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 2.587 * [taylor]: Taking taylor expansion of 0.5 in x 2.587 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 2.587 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.587 * [taylor]: Taking taylor expansion of x in x 2.588 * [taylor]: Taking taylor expansion of 1 in y 2.588 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 2.588 * [taylor]: Taking taylor expansion of 0.5 in y 2.588 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 2.589 * [taylor]: Taking taylor expansion of 0 in y 2.591 * [taylor]: Taking taylor expansion of 0 in y 2.592 * [approximate]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in (x y) around 0 2.592 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in y 2.592 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 2.592 * [taylor]: Taking taylor expansion of 0.5 in y 2.592 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 2.592 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.592 * [taylor]: Taking taylor expansion of x in y 2.592 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 2.592 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 2.592 * [taylor]: Taking taylor expansion of 0.5 in x 2.592 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 2.592 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.592 * [taylor]: Taking taylor expansion of x in x 2.592 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 2.592 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 2.592 * [taylor]: Taking taylor expansion of 0.5 in x 2.592 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 2.592 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.592 * [taylor]: Taking taylor expansion of x in x 2.593 * [taylor]: Taking taylor expansion of -1 in y 2.594 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 2.594 * [taylor]: Taking taylor expansion of 0.5 in y 2.594 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 2.596 * [taylor]: Taking taylor expansion of 0 in y 2.597 * [taylor]: Taking taylor expansion of 0 in y 2.598 * * * [progress]: simplifying candidates 2.599 * [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)) 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2.0)))) (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 (/ (fabs (- y x)) 2.0) (- (/ (fabs (- y x)) 2.0) x) (pow x 2)) (- (* 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) (fma (* 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))))))) (fma (- +nan.0) (/ (fabs (- y x)) (pow x 2)) (fma +nan.0 (/ 1 (pow x 2)) (fma (- +nan.0) (/ (fabs (- y x)) x) (fma +nan.0 (/ 1 x) (- +nan.0))))) (fma (- +nan.0) (/ (fabs (- y x)) (pow x 2)) (fma +nan.0 (/ 1 (pow x 2)) (fma (- +nan.0) (/ (fabs (- y x)) x) (fma +nan.0 (/ 1 x) (- +nan.0))))) (fma (* 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))))))) (fma (- +nan.0) (/ (fabs (- y x)) (pow x 2)) (fma +nan.0 (/ 1 (pow x 2)) (fma (- +nan.0) (/ (fabs (- y x)) x) (fma +nan.0 (/ 1 x) (- +nan.0))))) (fma (- +nan.0) (/ (fabs (- y x)) (pow x 2)) (fma +nan.0 (/ 1 (pow x 2)) (fma (- +nan.0) (/ (fabs (- y x)) x) (fma +nan.0 (/ 1 x) (- +nan.0))))) (fma (fabs (- y x)) 0.5 x) (fma (fabs (- y x)) 0.5 x) (fma (fabs (- y x)) 0.5 x) 2.643 * * * [progress]: adding candidates to table 2.893 * [progress]: [Phase 3 of 3] Extracting. 2.893 * * [regime]: Finding splitpoints for: (# # # # # #) 2.894 * * * [regime-changes]: Trying 3 branch expressions: ((+ x (/ (fabs (- y x)) 2.0)) y x) 2.894 * * * * [regimes]: Trying to branch on (+ x (/ (fabs (- y x)) 2.0)) from (# # # # # #) 2.918 * * * * [regimes]: Trying to branch on y from (# # # # # #) 2.942 * * * * [regimes]: Trying to branch on x from (# # # # # #) 2.963 * * * [regime]: Found split indices: #