7.976 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.010 * * * [progress]: [2/2] Setting up program. 0.012 * [progress]: [Phase 2 of 3] Improving. 0.012 * [simplify]: Simplifying using # : (/ 2.0 (+ (exp x) (exp (- x)))) 0.014 * * [simplify]: iteration 0 : 10 enodes (cost 5 ) 0.015 * * [simplify]: iteration 1 : 12 enodes (cost 5 ) 0.017 * * [simplify]: iteration 2 : 14 enodes (cost 5 ) 0.018 * * [simplify]: iteration 3 : 15 enodes (cost 5 ) 0.019 * * [simplify]: iteration 4 : 20 enodes (cost 5 ) 0.021 * * [simplify]: iteration 5 : 41 enodes (cost 5 ) 0.022 * * [simplify]: iteration 6 : 66 enodes (cost 5 ) 0.024 * * [simplify]: iteration 7 : 165 enodes (cost 5 ) 0.031 * * [simplify]: iteration 8 : 1123 enodes (cost 5 ) 0.221 * * [simplify]: iteration 9 : 5001 enodes (cost 5 ) 0.222 * [simplify]: Simplified to: (/ 2.0 (+ (exp x) (exp (- x)))) 0.222 * * [progress]: iteration 1 / 4 0.222 * * * [progress]: picking best candidate 0.224 * * * * [pick]: Picked # 0.224 * * * [progress]: localizing error 0.230 * * * [progress]: generating rewritten candidates 0.230 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.244 * * * [progress]: generating series expansions 0.244 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.245 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in (x) around 0 0.245 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 0.245 * [taylor]: Taking taylor expansion of 2.0 in x 0.245 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.245 * [taylor]: Taking taylor expansion of (exp x) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.245 * [taylor]: Taking taylor expansion of (- x) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 0.246 * [taylor]: Taking taylor expansion of 2.0 in x 0.246 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.246 * [taylor]: Taking taylor expansion of (exp x) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.246 * [taylor]: Taking taylor expansion of (- x) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.268 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 0.268 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.268 * [taylor]: Taking taylor expansion of 2.0 in x 0.268 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.268 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.269 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.269 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.269 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.269 * [taylor]: Taking taylor expansion of 2.0 in x 0.269 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.269 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.270 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.276 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 0.276 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.276 * [taylor]: Taking taylor expansion of 2.0 in x 0.276 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.276 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.276 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.276 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.276 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.276 * [taylor]: Taking taylor expansion of -1 in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.277 * [taylor]: Taking taylor expansion of 2.0 in x 0.277 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.277 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.277 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.277 * [taylor]: Taking taylor expansion of -1 in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.282 * * * [progress]: simplifying candidates 0.283 * [simplify]: Simplifying using # : (expm1 (/ 2.0 (+ (exp x) (exp (- x))))) (log1p (/ 2.0 (+ (exp x) (exp (- x))))) (- (log 2.0) (log (+ (exp x) (exp (- x))))) (log (/ 2.0 (+ (exp x) (exp (- x))))) (exp (/ 2.0 (+ (exp x) (exp (- x))))) (/ (* (* 2.0 2.0) 2.0) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x))))) (* (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (* (* (/ 2.0 (+ (exp x) (exp (- x)))) (/ 2.0 (+ (exp x) (exp (- x))))) (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (- 2.0) (- (+ (exp x) (exp (- x)))) (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (cbrt 2.0) (cbrt (+ (exp x) (exp (- x))))) (/ (* (cbrt 2.0) (cbrt 2.0)) (sqrt (+ (exp x) (exp (- x))))) (/ (cbrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ (* (cbrt 2.0) (cbrt 2.0)) 1) (/ (cbrt 2.0) (+ (exp x) (exp (- x)))) (/ (* (cbrt 2.0) (cbrt 2.0)) 1) (/ (cbrt 2.0) (+ (exp x) (exp (- x)))) (/ (sqrt 2.0) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2.0) (cbrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) 1) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) (/ (sqrt 2.0) 1) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) (/ 1 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ 2.0 (cbrt (+ (exp x) (exp (- x))))) (/ 1 (sqrt (+ (exp x) (exp (- x))))) (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (/ 1 1) (/ 2.0 (+ (exp x) (exp (- x)))) (/ 1 1) (/ 2.0 (+ (exp x) (exp (- x)))) (/ 1 (+ (exp x) (exp (- x)))) (/ (+ (exp x) (exp (- x))) 2.0) (/ 2.0 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (/ 2.0 1) (/ 2.0 1) (/ (+ (exp x) (exp (- x))) (cbrt 2.0)) (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (/ (+ (exp x) (exp (- x))) 2.0) (/ 2.0 (+ (pow (exp x) 3) (pow (exp (- x)) 3))) (/ 2.0 (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))) (- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2))) (/ 2.0 (+ (exp x) (exp (- x)))) (/ 2.0 (+ (exp (* -1 x)) (exp x))) 0.286 * * [simplify]: iteration 0 : 167 enodes (cost 323 ) 0.289 * * [simplify]: iteration 1 : 568 enodes (cost 300 ) 0.299 * * [simplify]: iteration 2 : 2220 enodes (cost 299 ) 0.351 * * [simplify]: iteration 3 : 5001 enodes (cost 299 ) 0.353 * [simplify]: Simplified to: (expm1 (/ 2.0 (+ (exp x) (exp (- x))))) (log1p (/ 2.0 (+ (exp x) (exp (- x))))) (log (/ 2.0 (+ (exp x) (exp (- x))))) (log (/ 2.0 (+ (exp x) (exp (- x))))) (exp (/ 2.0 (+ (exp x) (exp (- x))))) (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3) (* (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (- 2.0) (- (+ (exp x) (exp (- x)))) (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (cbrt 2.0) (cbrt (+ (exp x) (exp (- x))))) (/ (* (cbrt 2.0) (cbrt 2.0)) (sqrt (+ (exp x) (exp (- x))))) (/ (cbrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (* (cbrt 2.0) (cbrt 2.0)) (/ (cbrt 2.0) (+ (exp x) (exp (- x)))) (* (cbrt 2.0) (cbrt 2.0)) (/ (cbrt 2.0) (+ (exp x) (exp (- x)))) (/ (sqrt 2.0) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2.0) (cbrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) (/ 1 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ 2.0 (cbrt (+ (exp x) (exp (- x))))) (/ 1 (sqrt (+ (exp x) (exp (- x))))) (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) 1 (/ 2.0 (+ (exp (* -1 x)) (exp x))) 1 (/ 2.0 (+ (exp (* -1 x)) (exp x))) (/ 1 (+ (exp x) (exp (- x)))) (/ (+ (exp x) (exp (- x))) 2.0) (/ 2.0 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) 2.0 2.0 (/ (+ (exp x) (exp (- x))) (cbrt 2.0)) (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (/ (+ (exp x) (exp (- x))) 2.0) (/ 2.0 (+ (pow (exp x) 3) (pow (exp (- x)) 3))) (/ 2.0 (fma (- (exp (- x))) (exp (* -1 x)) (exp (+ x x)))) (fma (pow x 4) 0.20833333333333334 (- 1.0 (* 0.5 (pow x 2)))) (/ 2.0 (+ (exp (* -1 x)) (exp x))) (/ 2.0 (+ (exp (* -1 x)) (exp x))) 0.353 * * * [progress]: adding candidates to table 0.433 * * [progress]: iteration 2 / 4 0.433 * * * [progress]: picking best candidate 0.437 * * * * [pick]: Picked # 0.437 * * * [progress]: localizing error 0.445 * * * [progress]: generating rewritten candidates 0.445 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.457 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.515 * * * [progress]: generating series expansions 0.515 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.515 * [approximate]: Taking taylor expansion of (* 2.0 (sqrt (/ 1 (+ (exp x) (exp (- x)))))) in (x) around 0 0.515 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt (/ 1 (+ (exp x) (exp (- x)))))) in x 0.515 * [taylor]: Taking taylor expansion of 2.0 in x 0.515 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (- x))))) in x 0.515 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 0.515 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.515 * [taylor]: Taking taylor expansion of (exp x) in x 0.515 * [taylor]: Taking taylor expansion of x in x 0.515 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.515 * [taylor]: Taking taylor expansion of (- x) in x 0.515 * [taylor]: Taking taylor expansion of x in x 0.519 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt (/ 1 (+ (exp x) (exp (- x)))))) in x 0.519 * [taylor]: Taking taylor expansion of 2.0 in x 0.519 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (- x))))) in x 0.519 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 0.519 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.519 * [taylor]: Taking taylor expansion of (exp x) in x 0.519 * [taylor]: Taking taylor expansion of x in x 0.519 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.519 * [taylor]: Taking taylor expansion of (- x) in x 0.519 * [taylor]: Taking taylor expansion of x in x 0.570 * [approximate]: Taking taylor expansion of (* 2.0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in (x) around 0 0.570 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 0.570 * [taylor]: Taking taylor expansion of 2.0 in x 0.570 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 0.570 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.570 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.570 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.570 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.570 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.570 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.570 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.572 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 0.572 * [taylor]: Taking taylor expansion of 2.0 in x 0.572 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 0.572 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.572 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.572 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.572 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.572 * [taylor]: Taking taylor expansion of x in x 0.572 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.572 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.572 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.572 * [taylor]: Taking taylor expansion of x in x 0.586 * [approximate]: Taking taylor expansion of (* 2.0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in (x) around 0 0.586 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 0.586 * [taylor]: Taking taylor expansion of 2.0 in x 0.586 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 0.586 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.586 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.586 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.586 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.586 * [taylor]: Taking taylor expansion of x in x 0.587 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.587 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.587 * [taylor]: Taking taylor expansion of -1 in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.588 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 0.588 * [taylor]: Taking taylor expansion of 2.0 in x 0.588 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 0.588 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.588 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.588 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.588 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.588 * [taylor]: Taking taylor expansion of x in x 0.588 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.588 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.588 * [taylor]: Taking taylor expansion of -1 in x 0.588 * [taylor]: Taking taylor expansion of x in x 0.601 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.601 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in (x) around 0 0.601 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 0.601 * [taylor]: Taking taylor expansion of 2.0 in x 0.601 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.601 * [taylor]: Taking taylor expansion of (exp x) in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.601 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.601 * [taylor]: Taking taylor expansion of (- x) in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 0.602 * [taylor]: Taking taylor expansion of 2.0 in x 0.602 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.602 * [taylor]: Taking taylor expansion of (exp x) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.603 * [taylor]: Taking taylor expansion of (- x) in x 0.603 * [taylor]: Taking taylor expansion of x in x 0.626 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 0.626 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.626 * [taylor]: Taking taylor expansion of 2.0 in x 0.626 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.626 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.626 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.626 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.626 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.626 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.627 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.627 * [taylor]: Taking taylor expansion of 2.0 in x 0.627 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.627 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.627 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.627 * [taylor]: Taking taylor expansion of x in x 0.627 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.628 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.628 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.628 * [taylor]: Taking taylor expansion of x in x 0.633 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 0.633 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.633 * [taylor]: Taking taylor expansion of 2.0 in x 0.633 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.633 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.633 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.633 * [taylor]: Taking taylor expansion of x in x 0.634 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.634 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.634 * [taylor]: Taking taylor expansion of -1 in x 0.634 * [taylor]: Taking taylor expansion of x in x 0.634 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.634 * [taylor]: Taking taylor expansion of 2.0 in x 0.634 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.634 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.634 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.634 * [taylor]: Taking taylor expansion of x in x 0.635 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.635 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.635 * [taylor]: Taking taylor expansion of -1 in x 0.635 * [taylor]: Taking taylor expansion of x in x 0.640 * * * [progress]: simplifying candidates 0.645 * [simplify]: Simplifying using # : (expm1 (/ 2.0 (sqrt (+ (exp x) (exp (- x)))))) (log1p (/ 2.0 (sqrt (+ (exp x) (exp (- x)))))) (- (log 2.0) (log (sqrt (+ (exp x) (exp (- x)))))) (log (/ 2.0 (sqrt (+ (exp x) (exp (- x)))))) (exp (/ 2.0 (sqrt (+ (exp x) (exp (- x)))))) (/ (* (* 2.0 2.0) 2.0) (* (* (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))) (* (cbrt (/ 2.0 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 2.0 (sqrt (+ (exp x) (exp (- x))))))) (cbrt (/ 2.0 (sqrt (+ (exp x) (exp (- x)))))) (* (* (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (/ 2.0 (sqrt (+ (exp x) (exp (- x)))))) (/ 2.0 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (/ 2.0 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (/ 2.0 (sqrt (+ (exp x) (exp (- x)))))) (- 2.0) (- (sqrt (+ (exp x) (exp (- x))))) (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (/ (cbrt 2.0) (cbrt (sqrt (+ (exp x) (exp (- x)))))) (/ (* (cbrt 2.0) (cbrt 2.0)) (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (/ (cbrt 2.0) (sqrt (cbrt (+ (exp x) (exp (- x)))))) (/ (* (cbrt 2.0) (cbrt 2.0)) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (cbrt 2.0) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (* (cbrt 2.0) (cbrt 2.0)) (sqrt 1)) (/ (cbrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ (* (cbrt 2.0) (cbrt 2.0)) (sqrt 1)) (/ (cbrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ (* (cbrt 2.0) (cbrt 2.0)) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (cbrt 2.0) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (* (cbrt 2.0) (cbrt 2.0)) 1) (/ (cbrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (/ (sqrt 2.0) (cbrt (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2.0) (sqrt (* (cbrt 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(pow (sqrt (sqrt (+ (exp x) (exp (- x))))) 3)) 2) (/ 1 (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (/ (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))) (/ 1 (* 1 (fabs (cbrt (+ (exp x) (exp (- x))))))) (/ (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (sqrt (cbrt (+ (exp x) (exp (- x)))))) (/ 1 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (* (/ (/ 2.0 2) (pow (sqrt (sqrt (+ (exp x) (exp (- x))))) 3)) 2) 1 (/ 2.0 (+ (exp x) (exp (- x)))) 1 (/ 2.0 (+ (exp x) (exp (- x)))) (/ 1 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (* (/ (/ 2.0 2) (pow (sqrt (sqrt (+ (exp x) (exp (- x))))) 3)) 2) 1 (/ 2.0 (+ (exp x) (exp (- x)))) (/ 1 (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (/ (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))) (/ 1 (* 1 (fabs (cbrt (+ (exp x) (exp (- x))))))) (/ (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (sqrt (cbrt (+ (exp x) (exp (- x)))))) (/ 1 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (* (/ (/ 2.0 2) (pow (sqrt (sqrt (+ (exp x) (exp (- x))))) 3)) 2) 1 (/ 2.0 (+ (exp x) (exp (- x)))) 1 (/ 2.0 (+ (exp x) (exp (- x)))) (/ 1 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (* (/ (/ 2.0 2) (pow (sqrt (sqrt (+ (exp x) (exp (- x))))) 3)) 2) 1 (/ 2.0 (+ (exp x) (exp (- x)))) (/ (/ 1 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (/ (/ 2.0 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))) (/ 1 (* (sqrt (sqrt (+ (exp x) (exp (- x))))) (fabs (cbrt (+ (exp x) (exp (- x))))))) (/ (/ 2.0 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (sqrt (cbrt (+ (exp x) (exp (- x)))))) (/ 1 (sqrt (+ (exp x) (exp (- x))))) (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (/ 1 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (* (/ (/ 2.0 2) (pow (sqrt (sqrt (+ (exp x) (exp (- x))))) 3)) 2) (/ 1 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (* (/ (/ 2.0 2) (pow (sqrt (sqrt (+ (exp x) (exp (- x))))) 3)) 2) (/ 1 (sqrt (+ (exp x) (exp (- x))))) (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (/ 1 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (* (/ (/ 2.0 2) (pow (sqrt (sqrt (+ (exp x) (exp (- x))))) 3)) 2) (/ 1 (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (/ (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))) (/ 1 (* 1 (fabs (cbrt (+ (exp x) (exp (- x))))))) (/ (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (sqrt (cbrt (+ (exp x) (exp (- x)))))) (/ 1 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (* (/ (/ 2.0 2) (pow (sqrt (sqrt (+ (exp x) (exp (- x))))) 3)) 2) 1 (/ 2.0 (+ (exp x) (exp (- x)))) 1 (/ 2.0 (+ (exp x) (exp (- x)))) (/ 1 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (* (/ (/ 2.0 2) (pow (sqrt (sqrt (+ (exp x) (exp (- x))))) 3)) 2) 1 (/ 2.0 (+ (exp x) (exp (- x)))) (/ 1 (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (/ (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))) (/ 1 (* 1 (fabs (cbrt (+ (exp x) (exp (- x))))))) (/ (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (sqrt (cbrt (+ (exp x) (exp (- x)))))) (/ 1 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (* (/ (/ 2.0 2) (pow (sqrt (sqrt (+ (exp x) (exp (- x))))) 3)) 2) 1 (/ 2.0 (+ (exp x) (exp (- x)))) 1 (/ 2.0 (+ (exp x) (exp (- x)))) (/ 1 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (* (/ (/ 2.0 2) (pow (sqrt (sqrt (+ (exp x) (exp (- x))))) 3)) 2) 1 (/ 2.0 (+ (exp x) (exp (- x)))) (/ 2.0 (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (/ (/ 1 (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))) (/ 2.0 (fabs (cbrt (+ (exp x) (exp (- x)))))) (/ (/ 1 (sqrt (+ (exp x) (exp (- x))))) (sqrt (cbrt (+ (exp x) (exp (- x)))))) (/ 2.0 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (pow (/ 1 (sqrt (sqrt (+ (exp x) (exp (- x)))))) 3) 2.0 (/ 1 (+ (exp x) (exp (- x)))) 2.0 (/ 1 (+ (exp x) (exp (- x)))) (/ 2.0 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (pow (/ 1 (sqrt (sqrt (+ (exp x) (exp (- x)))))) 3) 2.0 (/ 1 (+ (exp x) (exp (- x)))) (/ (/ 2.0 (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (hypot (pow (exp (- x)) 3/2) (pow (exp x) 3/2))) (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))) (/ (/ 2.0 (fabs (cbrt (+ (exp x) (exp (- x)))))) (hypot (pow (exp (- x)) 3/2) (pow (exp x) 3/2))) (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (cbrt (+ (exp x) (exp (- x)))))) (/ (/ 2.0 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (hypot (pow (exp (- x)) 3/2) (pow (exp x) 3/2))) (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ 2.0 (hypot (pow (exp (- x)) 3/2) (pow (exp x) 3/2))) (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))) (/ 2.0 (hypot (pow (exp (- x)) 3/2) (pow (exp x) 3/2))) (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))) (/ (/ 2.0 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (hypot (pow (exp (- x)) 3/2) (pow (exp x) 3/2))) (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ 2.0 (hypot (pow (exp (- x)) 3/2) (pow (exp x) 3/2))) (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))) (/ (/ 2.0 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (/ (sqrt (- (exp x) (exp (- x)))) (cbrt (sqrt (+ (exp x) (exp (- x)))))) (/ 2.0 (* (fabs (cbrt (+ (exp x) (exp (- x))))) (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))))) (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (cbrt (+ (exp x) (exp (- x)))))) (/ (/ 2.0 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ 2.0 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x))))) (/ 2.0 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x))))) (/ (/ 2.0 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ 2.0 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x))))) (/ 1 (sqrt (+ (exp x) (exp (- x))))) (/ (+ (exp x) (exp (- x))) 2.0) (/ (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (/ 2.0 (* (fabs (cbrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))) (* (/ (/ 2.0 2) (pow (sqrt (sqrt (+ (exp x) (exp (- x))))) 3)) 2) (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (* (/ (/ 2.0 2) (pow (sqrt (sqrt (+ (exp x) (exp (- x))))) 3)) 2) (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt (+ (exp x) (exp (- x)))) (cbrt (/ 2.0 (sqrt (+ (exp x) (exp (- x))))))) (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt (/ 2.0 (sqrt (+ (exp x) (exp (- x))))))) (/ (sqrt (+ (exp x) (exp (- x)))) (/ (cbrt 2.0) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (/ (sqrt (+ (exp x) (exp (- x)))) (/ (cbrt 2.0) (sqrt (cbrt (+ (exp x) (exp (- x))))))) (/ (sqrt (+ (exp x) (exp (- x)))) (/ (cbrt 2.0) (sqrt (sqrt (+ (exp x) (exp (- x))))))) (/ (+ (exp x) (exp (- x))) (cbrt 2.0)) (/ (+ (exp x) (exp (- x))) (cbrt 2.0)) (/ (sqrt (+ (exp x) (exp (- x)))) (/ (cbrt 2.0) (sqrt (sqrt (+ (exp x) (exp (- x))))))) (/ (+ (exp x) (exp (- x))) (cbrt 2.0)) (/ (sqrt (+ (exp x) (exp (- x)))) (/ (sqrt 2.0) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (/ (sqrt (+ (exp x) (exp (- x)))) (/ (sqrt 2.0) (sqrt (cbrt (+ (exp x) (exp (- x))))))) (/ (sqrt (+ (exp x) (exp (- x)))) (/ (sqrt 2.0) (sqrt (sqrt (+ (exp x) (exp (- x))))))) (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (/ (sqrt (+ (exp x) (exp (- x)))) (/ (sqrt 2.0) (sqrt (sqrt (+ (exp x) (exp (- x))))))) (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (/ (sqrt (+ (exp x) (exp (- x)))) (/ 2.0 (cbrt (sqrt (+ (exp x) (exp (- x))))))) (/ (sqrt (+ (exp x) (exp (- x)))) (/ 2.0 (sqrt (cbrt (+ (exp x) (exp (- x))))))) (/ (sqrt (+ (exp x) (exp (- x)))) (/ 2.0 (sqrt (sqrt (+ (exp x) (exp (- x))))))) (/ (+ (exp x) (exp (- x))) 2.0) (/ (+ (exp x) (exp (- x))) 2.0) (/ (sqrt (+ (exp x) (exp (- x)))) (/ 2.0 (sqrt (sqrt (+ (exp x) (exp (- x))))))) (/ (+ (exp x) (exp (- x))) 2.0) (/ (+ (exp x) (exp (- x))) 2.0) (+ (exp x) (exp (- x))) (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))))) (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt (- (exp x) (exp (- x))))) (/ (/ 2.0 (hypot (pow (exp (- x)) 3/2) (pow (exp x) 3/2))) (sqrt (+ (exp x) (exp (- x))))) (/ (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (+ (exp x) (exp (- x))) (fma 0.10416666666666667 (/ (pow x 4) (sqrt 1/2)) (- (* 2.0 (sqrt 1/2)) (fma 0.25 (/ (pow x 2) (sqrt 1/2)) (* 0.015625 (/ (pow x 4) (pow (sqrt 1/2) 3)))))) (* 2.0 (sqrt (/ 1 (+ (exp (* -1 x)) (exp x))))) (* 2.0 (sqrt (/ 1 (+ (exp (* -1 x)) (exp x))))) (fma (pow x 4) 0.20833333333333334 (- 1.0 (* 0.5 (pow x 2)))) (/ 2.0 (+ (exp x) (exp (- x)))) (/ 2.0 (+ (exp x) (exp (- x)))) 0.726 * * * [progress]: adding candidates to table 1.122 * * [progress]: iteration 3 / 4 1.122 * * * [progress]: picking best candidate 1.128 * * * * [pick]: Picked # 1.128 * * * [progress]: localizing error 1.145 * * * [progress]: generating rewritten candidates 1.145 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 1.150 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 1) 1.155 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.212 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.312 * * * [progress]: generating series expansions 1.312 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 1.312 * [approximate]: Taking taylor expansion of (pow (+ (exp x) (exp (- x))) 1/3) in (x) around 0 1.312 * [taylor]: Taking taylor expansion of (pow (+ (exp x) (exp (- x))) 1/3) in x 1.312 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (exp x) (exp (- x)))))) in x 1.312 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (exp x) (exp (- x))))) in x 1.312 * [taylor]: Taking taylor expansion of 1/3 in x 1.312 * [taylor]: Taking taylor expansion of (log (+ (exp x) (exp (- x)))) in x 1.312 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.312 * [taylor]: Taking taylor expansion of (exp x) in x 1.312 * [taylor]: Taking taylor expansion of x in x 1.312 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.312 * [taylor]: Taking taylor expansion of (- x) in x 1.312 * [taylor]: Taking taylor expansion of x in x 1.315 * [taylor]: Taking taylor expansion of (pow (+ (exp x) (exp (- x))) 1/3) in x 1.315 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (exp x) (exp (- x)))))) in x 1.315 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (exp x) (exp (- x))))) in x 1.315 * [taylor]: Taking taylor expansion of 1/3 in x 1.315 * [taylor]: Taking taylor expansion of (log (+ (exp x) (exp (- x)))) in x 1.315 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.315 * [taylor]: Taking taylor expansion of (exp x) in x 1.315 * [taylor]: Taking taylor expansion of x in x 1.315 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.315 * [taylor]: Taking taylor expansion of (- x) in x 1.315 * [taylor]: Taking taylor expansion of x in x 1.366 * [approximate]: Taking taylor expansion of (pow (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 1/3) in (x) around 0 1.366 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 1/3) in x 1.366 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 1.366 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.366 * [taylor]: Taking taylor expansion of 1/3 in x 1.366 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.366 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.366 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.366 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.366 * [taylor]: Taking taylor expansion of x in x 1.366 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.366 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.366 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.367 * [taylor]: Taking taylor expansion of x in x 1.367 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 1/3) in x 1.367 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 1.367 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.367 * [taylor]: Taking taylor expansion of 1/3 in x 1.367 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.367 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.367 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.368 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.368 * [taylor]: Taking taylor expansion of x in x 1.368 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.368 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.368 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.368 * [taylor]: Taking taylor expansion of x in x 1.404 * [approximate]: Taking taylor expansion of (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 1/3) in (x) around 0 1.404 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 1/3) in x 1.404 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 1.404 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.404 * [taylor]: Taking taylor expansion of 1/3 in x 1.404 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.404 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.404 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.404 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.404 * [taylor]: Taking taylor expansion of x in x 1.404 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.404 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.404 * [taylor]: Taking taylor expansion of -1 in x 1.404 * [taylor]: Taking taylor expansion of x in x 1.405 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 1/3) in x 1.405 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 1.405 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.405 * [taylor]: Taking taylor expansion of 1/3 in x 1.405 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.405 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.405 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.405 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.405 * [taylor]: Taking taylor expansion of x in x 1.405 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.405 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.405 * [taylor]: Taking taylor expansion of -1 in x 1.405 * [taylor]: Taking taylor expansion of x in x 1.443 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 1) 1.443 * [approximate]: Taking taylor expansion of (pow (+ (exp x) (exp (- x))) 1/3) in (x) around 0 1.443 * [taylor]: Taking taylor expansion of (pow (+ (exp x) (exp (- x))) 1/3) in x 1.443 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (exp x) (exp (- x)))))) in x 1.443 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (exp x) (exp (- x))))) in x 1.443 * [taylor]: Taking taylor expansion of 1/3 in x 1.443 * [taylor]: Taking taylor expansion of (log (+ (exp x) (exp (- x)))) in x 1.443 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.443 * [taylor]: Taking taylor expansion of (exp x) in x 1.443 * [taylor]: Taking taylor expansion of x in x 1.443 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.443 * [taylor]: Taking taylor expansion of (- x) in x 1.443 * [taylor]: Taking taylor expansion of x in x 1.445 * [taylor]: Taking taylor expansion of (pow (+ (exp x) (exp (- x))) 1/3) in x 1.445 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (exp x) (exp (- x)))))) in x 1.445 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (exp x) (exp (- x))))) in x 1.445 * [taylor]: Taking taylor expansion of 1/3 in x 1.445 * [taylor]: Taking taylor expansion of (log (+ (exp x) (exp (- x)))) in x 1.446 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.446 * [taylor]: Taking taylor expansion of (exp x) in x 1.446 * [taylor]: Taking taylor expansion of x in x 1.446 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.446 * [taylor]: Taking taylor expansion of (- x) in x 1.446 * [taylor]: Taking taylor expansion of x in x 1.487 * [approximate]: Taking taylor expansion of (pow (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 1/3) in (x) around 0 1.487 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 1/3) in x 1.487 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 1.487 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.487 * [taylor]: Taking taylor expansion of 1/3 in x 1.487 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.487 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.487 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.487 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.487 * [taylor]: Taking taylor expansion of x in x 1.488 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.488 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.488 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.488 * [taylor]: Taking taylor expansion of x in x 1.489 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 1/3) in x 1.489 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 1.489 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.489 * [taylor]: Taking taylor expansion of 1/3 in x 1.489 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.489 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.489 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.489 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.489 * [taylor]: Taking taylor expansion of x in x 1.489 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.489 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.489 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.489 * [taylor]: Taking taylor expansion of x in x 1.527 * [approximate]: Taking taylor expansion of (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 1/3) in (x) around 0 1.527 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 1/3) in x 1.527 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 1.527 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.527 * [taylor]: Taking taylor expansion of 1/3 in x 1.527 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.527 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.527 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.527 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.528 * [taylor]: Taking taylor expansion of x in x 1.528 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.528 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.528 * [taylor]: Taking taylor expansion of -1 in x 1.528 * [taylor]: Taking taylor expansion of x in x 1.528 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 1/3) in x 1.529 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 1.529 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.529 * [taylor]: Taking taylor expansion of 1/3 in x 1.529 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.529 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.529 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.529 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.529 * [taylor]: Taking taylor expansion of x in x 1.529 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.529 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.529 * [taylor]: Taking taylor expansion of -1 in x 1.529 * [taylor]: Taking taylor expansion of x in x 1.563 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.564 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (pow (/ 1 (pow (+ (exp x) (exp (- x))) 5)) 1/12)) in (x) around 0 1.564 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow (/ 1 (pow (+ (exp x) (exp (- x))) 5)) 1/12)) in x 1.564 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.564 * [taylor]: Taking taylor expansion of 2.0 in x 1.564 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (+ (exp x) (exp (- x))) 5)) 1/12) in x 1.565 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (/ 1 (pow (+ (exp x) (exp (- x))) 5))))) in x 1.565 * [taylor]: Taking taylor expansion of (* 1/12 (log (/ 1 (pow (+ (exp x) (exp (- x))) 5)))) in x 1.565 * [taylor]: Taking taylor expansion of 1/12 in x 1.565 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (+ (exp x) (exp (- x))) 5))) in x 1.565 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (exp x) (exp (- x))) 5)) in x 1.565 * [taylor]: Taking taylor expansion of (pow (+ (exp x) (exp (- x))) 5) in x 1.565 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.565 * [taylor]: Taking taylor expansion of (exp x) in x 1.565 * [taylor]: Taking taylor expansion of x in x 1.565 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.565 * [taylor]: Taking taylor expansion of (- x) in x 1.565 * [taylor]: Taking taylor expansion of x in x 1.568 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow (/ 1 (pow (+ (exp x) (exp (- x))) 5)) 1/12)) in x 1.568 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.568 * [taylor]: Taking taylor expansion of 2.0 in x 1.569 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (+ (exp x) (exp (- x))) 5)) 1/12) in x 1.569 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (/ 1 (pow (+ (exp x) (exp (- x))) 5))))) in x 1.569 * [taylor]: Taking taylor expansion of (* 1/12 (log (/ 1 (pow (+ (exp x) (exp (- x))) 5)))) in x 1.569 * [taylor]: Taking taylor expansion of 1/12 in x 1.569 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (+ (exp x) (exp (- x))) 5))) in x 1.569 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (exp x) (exp (- x))) 5)) in x 1.569 * [taylor]: Taking taylor expansion of (pow (+ (exp x) (exp (- x))) 5) in x 1.569 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.569 * [taylor]: Taking taylor expansion of (exp x) in x 1.569 * [taylor]: Taking taylor expansion of x in x 1.569 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.569 * [taylor]: Taking taylor expansion of (- x) in x 1.569 * [taylor]: Taking taylor expansion of x in x 1.641 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (pow (/ 1 (pow (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 5)) 1/12)) in (x) around 0 1.641 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow (/ 1 (pow (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 5)) 1/12)) in x 1.641 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.641 * [taylor]: Taking taylor expansion of 2.0 in x 1.642 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 5)) 1/12) in x 1.642 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (/ 1 (pow (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 5))))) in x 1.642 * [taylor]: Taking taylor expansion of (* 1/12 (log (/ 1 (pow (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 5)))) in x 1.642 * [taylor]: Taking taylor expansion of 1/12 in x 1.642 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 5))) in x 1.642 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 5)) in x 1.642 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 5) in x 1.642 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.642 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.642 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.642 * [taylor]: Taking taylor expansion of x in x 1.642 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.642 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.642 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.642 * [taylor]: Taking taylor expansion of x in x 1.647 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow (/ 1 (pow (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 5)) 1/12)) in x 1.647 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.647 * [taylor]: Taking taylor expansion of 2.0 in x 1.648 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 5)) 1/12) in x 1.648 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (/ 1 (pow (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 5))))) in x 1.648 * [taylor]: Taking taylor expansion of (* 1/12 (log (/ 1 (pow (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 5)))) in x 1.648 * [taylor]: Taking taylor expansion of 1/12 in x 1.648 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 5))) in x 1.648 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 5)) in x 1.648 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 5) in x 1.648 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.648 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.648 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.648 * [taylor]: Taking taylor expansion of x in x 1.648 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.648 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.648 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.648 * [taylor]: Taking taylor expansion of x in x 1.729 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (pow (/ 1 (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 5)) 1/12)) in (x) around 0 1.729 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow (/ 1 (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 5)) 1/12)) in x 1.729 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.729 * [taylor]: Taking taylor expansion of 2.0 in x 1.730 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 5)) 1/12) in x 1.730 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (/ 1 (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 5))))) in x 1.730 * [taylor]: Taking taylor expansion of (* 1/12 (log (/ 1 (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 5)))) in x 1.730 * [taylor]: Taking taylor expansion of 1/12 in x 1.730 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 5))) in x 1.730 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 5)) in x 1.730 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 5) in x 1.730 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.730 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.730 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.730 * [taylor]: Taking taylor expansion of x in x 1.730 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.730 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.730 * [taylor]: Taking taylor expansion of -1 in x 1.730 * [taylor]: Taking taylor expansion of x in x 1.732 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow (/ 1 (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 5)) 1/12)) in x 1.732 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.732 * [taylor]: Taking taylor expansion of 2.0 in x 1.733 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 5)) 1/12) in x 1.733 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (/ 1 (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 5))))) in x 1.733 * [taylor]: Taking taylor expansion of (* 1/12 (log (/ 1 (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 5)))) in x 1.733 * [taylor]: Taking taylor expansion of 1/12 in x 1.733 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 5))) in x 1.733 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 5)) in x 1.733 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 5) in x 1.733 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.733 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.733 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.733 * [taylor]: Taking taylor expansion of x in x 1.733 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.733 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.733 * [taylor]: Taking taylor expansion of -1 in x 1.733 * [taylor]: Taking taylor expansion of x in x 1.802 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.803 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (pow (/ 1 (+ (exp x) (exp (- x)))) 1/4)) in (x) around 0 1.803 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow (/ 1 (+ (exp x) (exp (- x)))) 1/4)) in x 1.803 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.803 * [taylor]: Taking taylor expansion of 2.0 in x 1.803 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ (exp x) (exp (- x)))) 1/4) in x 1.803 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (+ (exp x) (exp (- x))))))) in x 1.804 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (+ (exp x) (exp (- x)))))) in x 1.804 * [taylor]: Taking taylor expansion of 1/4 in x 1.804 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (exp x) (exp (- x))))) in x 1.804 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 1.804 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.804 * [taylor]: Taking taylor expansion of (exp x) in x 1.804 * [taylor]: Taking taylor expansion of x in x 1.804 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.804 * [taylor]: Taking taylor expansion of (- x) in x 1.804 * [taylor]: Taking taylor expansion of x in x 1.806 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow (/ 1 (+ (exp x) (exp (- x)))) 1/4)) in x 1.806 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.806 * [taylor]: Taking taylor expansion of 2.0 in x 1.807 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ (exp x) (exp (- x)))) 1/4) in x 1.807 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (+ (exp x) (exp (- x))))))) in x 1.807 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (+ (exp x) (exp (- x)))))) in x 1.807 * [taylor]: Taking taylor expansion of 1/4 in x 1.807 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (exp x) (exp (- x))))) in x 1.807 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 1.807 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.807 * [taylor]: Taking taylor expansion of (exp x) in x 1.807 * [taylor]: Taking taylor expansion of x in x 1.807 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.807 * [taylor]: Taking taylor expansion of (- x) in x 1.807 * [taylor]: Taking taylor expansion of x in x 1.871 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (pow (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1/4)) in (x) around 0 1.871 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1/4)) in x 1.871 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.872 * [taylor]: Taking taylor expansion of 2.0 in x 1.872 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1/4) in x 1.872 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) in x 1.872 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 1.872 * [taylor]: Taking taylor expansion of 1/4 in x 1.872 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.872 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.872 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.872 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.872 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.872 * [taylor]: Taking taylor expansion of x in x 1.873 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.873 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.873 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.873 * [taylor]: Taking taylor expansion of x in x 1.874 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1/4)) in x 1.874 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.874 * [taylor]: Taking taylor expansion of 2.0 in x 1.874 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1/4) in x 1.874 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) in x 1.874 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 1.874 * [taylor]: Taking taylor expansion of 1/4 in x 1.874 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.874 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.874 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.875 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.875 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.875 * [taylor]: Taking taylor expansion of x in x 1.875 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.875 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.875 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.875 * [taylor]: Taking taylor expansion of x in x 1.928 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (pow (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 1/4)) in (x) around 0 1.929 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 1/4)) in x 1.929 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.929 * [taylor]: Taking taylor expansion of 2.0 in x 1.929 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 1/4) in x 1.929 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) in x 1.929 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 1.929 * [taylor]: Taking taylor expansion of 1/4 in x 1.929 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.929 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.929 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.929 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.929 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.929 * [taylor]: Taking taylor expansion of x in x 1.930 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.930 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.930 * [taylor]: Taking taylor expansion of -1 in x 1.930 * [taylor]: Taking taylor expansion of x in x 1.931 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 1/4)) in x 1.931 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.931 * [taylor]: Taking taylor expansion of 2.0 in x 1.931 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 1/4) in x 1.931 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) in x 1.931 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 1.931 * [taylor]: Taking taylor expansion of 1/4 in x 1.931 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.931 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.931 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.931 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.931 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.931 * [taylor]: Taking taylor expansion of x in x 1.932 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.932 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.932 * [taylor]: Taking taylor expansion of -1 in x 1.932 * [taylor]: Taking taylor expansion of x in x 1.981 * * * [progress]: simplifying candidates 2.003 * [simplify]: Simplifying using # : (expm1 (cbrt (+ (exp x) (exp (- x))))) (log1p (cbrt (+ (exp x) (exp (- x))))) (log (cbrt (+ (exp x) (exp (- x))))) (exp (cbrt (+ (exp x) (exp (- x))))) (cbrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (cbrt (cbrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt 1) (cbrt (+ (exp x) (exp (- x)))) (cbrt 1) (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (pow (exp x) 3) (pow (exp (- x)) 3))) (cbrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (cbrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))) (cbrt (- (exp x) (exp (- x)))) (* (cbrt (cbrt (+ (exp x) (exp (- x))))) (cbrt (cbrt (+ (exp x) (exp (- x)))))) (cbrt (cbrt (+ (exp x) (exp (- x))))) (* (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))) (cbrt (+ (exp x) (exp (- x))))) (sqrt (cbrt (+ (exp x) (exp (- x))))) (sqrt (cbrt (+ (exp x) (exp (- x))))) (expm1 (cbrt (+ (exp x) (exp (- x))))) (log1p (cbrt (+ (exp x) (exp (- x))))) (log (cbrt (+ (exp x) (exp (- x))))) (exp (cbrt (+ (exp x) (exp (- x))))) (cbrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) 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candidates to table 4.069 * [progress]: [Phase 3 of 3] Extracting. 4.069 * * [regime]: Finding splitpoints for: (# #) 4.070 * * * [regime-changes]: Trying 2 branch expressions: ((+ (exp x) (exp (- x))) x) 4.070 * * * * [regimes]: Trying to branch on (+ (exp x) (exp (- x))) from (# #) 4.086 * * * * [regimes]: Trying to branch on x from (# #) 4.099 * * * [regime]: Found split indices: #