9.579 * [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 ) 0.020 * * [simplify]: iteration 5 : 40 enodes (cost 5 ) 0.022 * * [simplify]: iteration 6 : 61 enodes (cost 5 ) 0.023 * * [simplify]: iteration 7 : 150 enodes (cost 5 ) 0.030 * * [simplify]: iteration 8 : 1040 enodes (cost 5 ) 0.221 * * [simplify]: iteration 9 : 5002 enodes (cost 5 ) 0.222 * [simplify]: Simplified to: (/ 2.0 (+ (exp x) (exp (- x)))) 0.223 * * [progress]: iteration 1 / 4 0.223 * * * [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) 0.242 * * * [progress]: generating series expansions 0.242 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.242 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in (x) around 0 0.242 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 0.242 * [taylor]: Taking taylor expansion of 2.0 in x 0.242 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.242 * [taylor]: Taking taylor expansion of (exp x) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.242 * [taylor]: Taking taylor expansion of (- x) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 0.243 * [taylor]: Taking taylor expansion of 2.0 in x 0.243 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.243 * [taylor]: Taking taylor expansion of (exp x) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.243 * [taylor]: Taking taylor expansion of (- x) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.267 * [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 0.268 * [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 (/ 1 x) in x 0.268 * [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 0.269 * [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 0.275 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 0.275 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.275 * [taylor]: Taking taylor expansion of 2.0 in x 0.275 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.275 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.275 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.275 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.275 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.275 * [taylor]: Taking taylor expansion of -1 in x 0.275 * [taylor]: Taking taylor expansion of x in x 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 0.281 * * * [progress]: simplifying candidates 0.282 * [simplify]: Simplifying using # : (- (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))) 0.289 * * [simplify]: iteration 0 : 163 enodes (cost 311 ) 0.292 * * [simplify]: iteration 1 : 549 enodes (cost 289 ) 0.302 * * [simplify]: iteration 2 : 2172 enodes (cost 288 ) 0.355 * * [simplify]: iteration 3 : 5001 enodes (cost 288 ) 0.357 * [simplify]: Simplified to: (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 (+ (exp (+ x x)) (- (exp (+ (- x) (- x)))))) (- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2))) (/ 2.0 (+ (exp (* -1 x)) (exp x))) (/ 2.0 (+ (exp (* -1 x)) (exp x))) 0.357 * * * [progress]: adding candidates to table 0.427 * * [progress]: iteration 2 / 4 0.427 * * * [progress]: picking best candidate 0.431 * * * * [pick]: Picked # 0.431 * * * [progress]: localizing error 0.439 * * * [progress]: generating rewritten candidates 0.439 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.450 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.504 * * * [progress]: generating series expansions 0.504 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.504 * [approximate]: Taking taylor expansion of (* 2.0 (sqrt (/ 1 (+ (exp x) (exp (- x)))))) in (x) around 0 0.504 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt (/ 1 (+ (exp x) (exp (- x)))))) in x 0.504 * [taylor]: Taking taylor expansion of 2.0 in x 0.504 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (- x))))) in x 0.504 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 0.504 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.504 * [taylor]: Taking taylor expansion of (exp x) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.504 * [taylor]: Taking taylor expansion of (- x) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt (/ 1 (+ (exp x) (exp (- x)))))) in x 0.509 * [taylor]: Taking taylor expansion of 2.0 in x 0.509 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (- x))))) in x 0.509 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 0.509 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.509 * [taylor]: Taking taylor expansion of (exp x) in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.509 * [taylor]: Taking taylor expansion of (- x) in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.562 * [approximate]: Taking taylor expansion of (* 2.0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in (x) around 0 0.562 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 0.562 * [taylor]: Taking taylor expansion of 2.0 in x 0.562 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 0.562 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.562 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.562 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.562 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.562 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.562 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.562 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.564 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 0.564 * [taylor]: Taking taylor expansion of 2.0 in x 0.564 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 0.564 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.564 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.564 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.564 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.564 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.564 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.564 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.578 * [approximate]: Taking taylor expansion of (* 2.0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in (x) around 0 0.578 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 0.578 * [taylor]: Taking taylor expansion of 2.0 in x 0.578 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 0.578 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.578 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.578 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.578 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.578 * [taylor]: Taking taylor expansion of x in x 0.579 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.579 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.579 * [taylor]: Taking taylor expansion of -1 in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.580 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 0.580 * [taylor]: Taking taylor expansion of 2.0 in x 0.580 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 0.580 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.580 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.580 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.580 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.580 * [taylor]: Taking taylor expansion of x in x 0.580 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.580 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.580 * [taylor]: Taking taylor expansion of -1 in x 0.580 * [taylor]: Taking taylor expansion of x in x 0.594 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.594 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in (x) around 0 0.594 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 0.594 * [taylor]: Taking taylor expansion of 2.0 in x 0.594 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.594 * [taylor]: Taking taylor expansion of (exp x) in x 0.594 * [taylor]: Taking taylor expansion of x in x 0.594 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.594 * [taylor]: Taking taylor expansion of (- x) in x 0.594 * [taylor]: Taking taylor expansion of x in x 0.595 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 0.595 * [taylor]: Taking taylor expansion of 2.0 in x 0.595 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.595 * [taylor]: Taking taylor expansion of (exp x) in x 0.595 * [taylor]: Taking taylor expansion of x in x 0.595 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.595 * [taylor]: Taking taylor expansion of (- x) in x 0.595 * [taylor]: Taking taylor expansion of x in x 0.621 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 0.621 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.621 * [taylor]: Taking taylor expansion of 2.0 in x 0.621 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.621 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.621 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.622 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.622 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.622 * [taylor]: Taking taylor expansion of 2.0 in x 0.623 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.623 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.623 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.623 * [taylor]: Taking taylor expansion of x in x 0.623 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.623 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.623 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.623 * [taylor]: Taking taylor expansion of x in x 0.629 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 0.629 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.629 * [taylor]: Taking taylor expansion of 2.0 in x 0.629 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.629 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.629 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.629 * [taylor]: Taking taylor expansion of x in x 0.629 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.629 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.629 * [taylor]: Taking taylor expansion of -1 in x 0.629 * [taylor]: Taking taylor expansion of x in x 0.629 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.629 * [taylor]: Taking taylor expansion of 2.0 in x 0.630 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.630 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.630 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.630 * [taylor]: Taking taylor expansion of x in x 0.630 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.630 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.630 * [taylor]: Taking taylor expansion of -1 in x 0.630 * [taylor]: Taking taylor expansion of x in x 0.635 * * * [progress]: simplifying candidates 0.640 * [simplify]: Simplifying using # : (- (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 (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (/ (sqrt 2.0) (sqrt (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2.0) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2.0) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2.0) (sqrt 1)) (/ (sqrt 2.0) 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(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 (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (/ (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))))) (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3))))) (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (cbrt (+ (exp x) (exp (- x)))))) (/ (/ 2.0 (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ 2.0 (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))) (/ 2.0 (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))) (/ (/ 2.0 (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ 2.0 (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (/ (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 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (/ (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (+ (exp x) (exp (- x))) (- (+ (* 0.10416666666666667 (/ (pow x 4) (sqrt 1/2))) (* 2.0 (sqrt 1/2))) (+ (* 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))))) (- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2))) (/ 2.0 (+ (exp x) (exp (- x)))) (/ 2.0 (+ (exp x) (exp (- x)))) 0.714 * * * [progress]: adding candidates to table 1.090 * * [progress]: iteration 3 / 4 1.090 * * * [progress]: picking best candidate 1.093 * * * * [pick]: Picked # 1.093 * * * [progress]: localizing error 1.109 * * * [progress]: generating rewritten candidates 1.109 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 1.114 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 1) 1.119 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.174 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.267 * * * [progress]: generating series expansions 1.267 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 1.268 * [approximate]: Taking taylor expansion of (pow (+ (exp x) (exp (- x))) 1/3) in (x) around 0 1.268 * [taylor]: Taking taylor expansion of (pow (+ (exp x) (exp (- x))) 1/3) in x 1.268 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (exp x) (exp (- x)))))) in x 1.268 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (exp x) (exp (- x))))) in x 1.268 * [taylor]: Taking taylor expansion of 1/3 in x 1.268 * [taylor]: Taking taylor expansion of (log (+ (exp x) (exp (- x)))) in x 1.268 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.268 * [taylor]: Taking taylor expansion of (exp x) in x 1.268 * [taylor]: Taking taylor expansion of x in x 1.268 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.268 * [taylor]: Taking taylor expansion of (- x) in x 1.268 * [taylor]: Taking taylor expansion of x in x 1.271 * [taylor]: Taking taylor expansion of (pow (+ (exp x) (exp (- x))) 1/3) in x 1.271 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (exp x) (exp (- x)))))) in x 1.271 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (exp x) (exp (- x))))) in x 1.271 * [taylor]: Taking taylor expansion of 1/3 in x 1.271 * [taylor]: Taking taylor expansion of (log (+ (exp x) (exp (- x)))) in x 1.271 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.271 * [taylor]: Taking taylor expansion of (exp x) in x 1.271 * [taylor]: Taking taylor expansion of x in x 1.271 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.271 * [taylor]: Taking taylor expansion of (- x) in x 1.271 * [taylor]: Taking taylor expansion of x in x 1.324 * [approximate]: Taking taylor expansion of (pow (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 1/3) in (x) around 0 1.324 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 1/3) in x 1.324 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 1.324 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.324 * [taylor]: Taking taylor expansion of 1/3 in x 1.324 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.324 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.324 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.324 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.324 * [taylor]: Taking taylor expansion of x in x 1.324 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.324 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.324 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.324 * [taylor]: Taking taylor expansion of x in x 1.325 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 1/3) in x 1.325 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 1.325 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.325 * [taylor]: Taking taylor expansion of 1/3 in x 1.325 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.325 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.325 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.325 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.325 * [taylor]: Taking taylor expansion of x in x 1.326 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.326 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.326 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.326 * [taylor]: Taking taylor expansion of x in x 1.368 * [approximate]: Taking taylor expansion of (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 1/3) in (x) around 0 1.369 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 1/3) in x 1.369 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 1.369 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.369 * [taylor]: Taking taylor expansion of 1/3 in x 1.369 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.369 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.369 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.369 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.369 * [taylor]: Taking taylor expansion of x in x 1.369 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.369 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.369 * [taylor]: Taking taylor expansion of -1 in x 1.369 * [taylor]: Taking taylor expansion of x in x 1.370 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 1/3) in x 1.370 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 1.370 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.370 * [taylor]: Taking taylor expansion of 1/3 in x 1.370 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.370 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.370 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.370 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.370 * [taylor]: Taking taylor expansion of x in x 1.370 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.370 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.370 * [taylor]: Taking taylor expansion of -1 in x 1.370 * [taylor]: Taking taylor expansion of x in x 1.407 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 1) 1.407 * [approximate]: Taking taylor expansion of (pow (+ (exp x) (exp (- x))) 1/3) in (x) around 0 1.407 * [taylor]: Taking taylor expansion of (pow (+ (exp x) (exp (- x))) 1/3) in x 1.407 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (exp x) (exp (- x)))))) in x 1.408 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (exp x) (exp (- x))))) in x 1.408 * [taylor]: Taking taylor expansion of 1/3 in x 1.408 * [taylor]: Taking taylor expansion of (log (+ (exp x) (exp (- x)))) in x 1.408 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.408 * [taylor]: Taking taylor expansion of (exp x) in x 1.408 * [taylor]: Taking taylor expansion of x in x 1.408 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.408 * [taylor]: Taking taylor expansion of (- x) in x 1.408 * [taylor]: Taking taylor expansion of x in x 1.410 * [taylor]: Taking taylor expansion of (pow (+ (exp x) (exp (- x))) 1/3) in x 1.410 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (exp x) (exp (- x)))))) in x 1.410 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (exp x) (exp (- x))))) in x 1.410 * [taylor]: Taking taylor expansion of 1/3 in x 1.410 * [taylor]: Taking taylor expansion of (log (+ (exp x) (exp (- x)))) in x 1.410 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.410 * [taylor]: Taking taylor expansion of (exp x) in x 1.410 * [taylor]: Taking taylor expansion of x in x 1.410 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.410 * [taylor]: Taking taylor expansion of (- x) in x 1.410 * [taylor]: Taking taylor expansion of x in x 1.461 * [approximate]: Taking taylor expansion of (pow (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 1/3) in (x) around 0 1.461 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 1/3) in x 1.461 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 1.461 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.461 * [taylor]: Taking taylor expansion of 1/3 in x 1.461 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.461 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.461 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.461 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.461 * [taylor]: Taking taylor expansion of x in x 1.461 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.461 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.461 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.461 * [taylor]: Taking taylor expansion of x in x 1.462 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 1/3) in x 1.462 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 1.462 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.462 * [taylor]: Taking taylor expansion of 1/3 in x 1.462 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.462 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.462 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.462 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.462 * [taylor]: Taking taylor expansion of x in x 1.463 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.463 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.463 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.463 * [taylor]: Taking taylor expansion of x in x 1.500 * [approximate]: Taking taylor expansion of (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 1/3) in (x) around 0 1.500 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 1/3) in x 1.500 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 1.501 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.501 * [taylor]: Taking taylor expansion of 1/3 in x 1.501 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.501 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.501 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.501 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.501 * [taylor]: Taking taylor expansion of x in x 1.501 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.501 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.501 * [taylor]: Taking taylor expansion of -1 in x 1.501 * [taylor]: Taking taylor expansion of x in x 1.502 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 1/3) in x 1.502 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 1.502 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.502 * [taylor]: Taking taylor expansion of 1/3 in x 1.502 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.502 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.502 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.502 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.502 * [taylor]: Taking taylor expansion of x in x 1.502 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.502 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.502 * [taylor]: Taking taylor expansion of -1 in x 1.502 * [taylor]: Taking taylor expansion of x in x 1.544 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.545 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (pow (/ 1 (pow (+ (exp x) (exp (- x))) 5)) 1/12)) in (x) around 0 1.545 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow (/ 1 (pow (+ (exp x) (exp (- x))) 5)) 1/12)) in x 1.545 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.545 * [taylor]: Taking taylor expansion of 2.0 in x 1.546 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (+ (exp x) (exp (- x))) 5)) 1/12) in x 1.546 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (/ 1 (pow (+ (exp x) (exp (- x))) 5))))) in x 1.546 * [taylor]: Taking taylor expansion of (* 1/12 (log (/ 1 (pow (+ (exp x) (exp (- x))) 5)))) in x 1.546 * [taylor]: Taking taylor expansion of 1/12 in x 1.546 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (+ (exp x) (exp (- x))) 5))) in x 1.546 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (exp x) (exp (- x))) 5)) in x 1.546 * [taylor]: Taking taylor expansion of (pow (+ (exp x) (exp (- x))) 5) in x 1.546 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.546 * [taylor]: Taking taylor expansion of (exp x) in x 1.546 * [taylor]: Taking taylor expansion of x in x 1.546 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.546 * [taylor]: Taking taylor expansion of (- x) in x 1.546 * [taylor]: Taking taylor expansion of x in x 1.549 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow (/ 1 (pow (+ (exp x) (exp (- x))) 5)) 1/12)) in x 1.549 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.549 * [taylor]: Taking taylor expansion of 2.0 in x 1.550 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (+ (exp x) (exp (- x))) 5)) 1/12) in x 1.550 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (/ 1 (pow (+ (exp x) (exp (- x))) 5))))) in x 1.550 * [taylor]: Taking taylor expansion of (* 1/12 (log (/ 1 (pow (+ (exp x) (exp (- x))) 5)))) in x 1.550 * [taylor]: Taking taylor expansion of 1/12 in x 1.550 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (+ (exp x) (exp (- x))) 5))) in x 1.550 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (exp x) (exp (- x))) 5)) in x 1.550 * [taylor]: Taking taylor expansion of (pow (+ (exp x) (exp (- x))) 5) in x 1.550 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.550 * [taylor]: Taking taylor expansion of (exp x) in x 1.550 * [taylor]: Taking taylor expansion of x in x 1.550 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.550 * [taylor]: Taking taylor expansion of (- x) in x 1.550 * [taylor]: Taking taylor expansion of x in x 1.629 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (pow (/ 1 (pow (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 5)) 1/12)) in (x) around 0 1.629 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow (/ 1 (pow (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 5)) 1/12)) in x 1.629 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.629 * [taylor]: Taking taylor expansion of 2.0 in x 1.630 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 5)) 1/12) in x 1.630 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (/ 1 (pow (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 5))))) in x 1.630 * [taylor]: Taking taylor expansion of (* 1/12 (log (/ 1 (pow (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 5)))) in x 1.630 * [taylor]: Taking taylor expansion of 1/12 in x 1.630 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 5))) in x 1.630 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 5)) in x 1.630 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 5) in x 1.630 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.630 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.630 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.630 * [taylor]: Taking taylor expansion of x in x 1.631 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.631 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.631 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.631 * [taylor]: Taking taylor expansion of x in x 1.632 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow (/ 1 (pow (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 5)) 1/12)) in x 1.632 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.632 * [taylor]: Taking taylor expansion of 2.0 in x 1.633 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 5)) 1/12) in x 1.633 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (/ 1 (pow (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 5))))) in x 1.633 * [taylor]: Taking taylor expansion of (* 1/12 (log (/ 1 (pow (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 5)))) in x 1.633 * [taylor]: Taking taylor expansion of 1/12 in x 1.633 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 5))) in x 1.633 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 5)) in x 1.633 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 5) in x 1.633 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.633 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.634 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.634 * [taylor]: Taking taylor expansion of x in x 1.634 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.634 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.634 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.634 * [taylor]: Taking taylor expansion of x in x 1.711 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (pow (/ 1 (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 5)) 1/12)) in (x) around 0 1.711 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow (/ 1 (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 5)) 1/12)) in x 1.711 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.711 * [taylor]: Taking taylor expansion of 2.0 in x 1.712 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 5)) 1/12) in x 1.712 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (/ 1 (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 5))))) in x 1.712 * [taylor]: Taking taylor expansion of (* 1/12 (log (/ 1 (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 5)))) in x 1.712 * [taylor]: Taking taylor expansion of 1/12 in x 1.712 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 5))) in x 1.712 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 5)) in x 1.712 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 5) in x 1.712 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.712 * [taylor]: Taking taylor expansion of (exp (/ 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 1.712 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.712 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.713 * [taylor]: Taking taylor expansion of -1 in x 1.713 * [taylor]: Taking taylor expansion of x in x 1.714 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow (/ 1 (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 5)) 1/12)) in x 1.714 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.714 * [taylor]: Taking taylor expansion of 2.0 in x 1.715 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 5)) 1/12) in x 1.715 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (/ 1 (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 5))))) in x 1.715 * [taylor]: Taking taylor expansion of (* 1/12 (log (/ 1 (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 5)))) in x 1.715 * [taylor]: Taking taylor expansion of 1/12 in x 1.715 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 5))) in x 1.715 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 5)) in x 1.715 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 5) in x 1.715 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.715 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.715 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.715 * [taylor]: Taking taylor expansion of x in x 1.715 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.715 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.715 * [taylor]: Taking taylor expansion of -1 in x 1.715 * [taylor]: Taking taylor expansion of x in x 1.784 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.785 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (pow (/ 1 (+ (exp x) (exp (- x)))) 1/4)) in (x) around 0 1.785 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow (/ 1 (+ (exp x) (exp (- x)))) 1/4)) in x 1.785 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.785 * [taylor]: Taking taylor expansion of 2.0 in x 1.786 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ (exp x) (exp (- x)))) 1/4) in x 1.786 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (+ (exp x) (exp (- x))))))) in x 1.786 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (+ (exp x) (exp (- x)))))) in x 1.786 * [taylor]: Taking taylor expansion of 1/4 in x 1.786 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (exp x) (exp (- x))))) in x 1.786 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 1.786 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.786 * [taylor]: Taking taylor expansion of (exp x) in x 1.786 * [taylor]: Taking taylor expansion of x in x 1.786 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.786 * [taylor]: Taking taylor expansion of (- x) in x 1.786 * [taylor]: Taking taylor expansion of x in x 1.789 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow (/ 1 (+ (exp x) (exp (- x)))) 1/4)) in x 1.789 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.789 * [taylor]: Taking taylor expansion of 2.0 in x 1.789 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ (exp x) (exp (- x)))) 1/4) in x 1.789 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (+ (exp x) (exp (- x))))))) in x 1.789 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (+ (exp x) (exp (- x)))))) in x 1.789 * [taylor]: Taking taylor expansion of 1/4 in x 1.789 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (exp x) (exp (- x))))) in x 1.789 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 1.789 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.789 * [taylor]: Taking taylor expansion of (exp x) in x 1.789 * [taylor]: Taking taylor expansion of x in x 1.789 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.789 * [taylor]: Taking taylor expansion of (- x) in x 1.789 * [taylor]: Taking taylor expansion of x in x 1.858 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (pow (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1/4)) in (x) around 0 1.859 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1/4)) in x 1.859 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.859 * [taylor]: Taking taylor expansion of 2.0 in x 1.859 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1/4) in x 1.859 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) in x 1.859 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 1.859 * [taylor]: Taking taylor expansion of 1/4 in x 1.859 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.859 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.859 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.859 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.859 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.859 * [taylor]: Taking taylor expansion of x in x 1.860 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.860 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.860 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.860 * [taylor]: Taking taylor expansion of x in x 1.861 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1/4)) in x 1.861 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.861 * [taylor]: Taking taylor expansion of 2.0 in x 1.862 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1/4) in x 1.862 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) in x 1.862 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 1.862 * [taylor]: Taking taylor expansion of 1/4 in x 1.862 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.862 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.862 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.862 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.862 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.862 * [taylor]: Taking taylor expansion of x in x 1.862 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.862 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.862 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.862 * [taylor]: Taking taylor expansion of x in x 1.919 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (pow (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 1/4)) in (x) around 0 1.920 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 1/4)) in x 1.920 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.920 * [taylor]: Taking taylor expansion of 2.0 in x 1.920 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 1/4) in x 1.920 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) in x 1.920 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 1.920 * [taylor]: Taking taylor expansion of 1/4 in x 1.920 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.920 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.920 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.920 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.920 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.920 * [taylor]: Taking taylor expansion of x in x 1.921 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.921 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.921 * [taylor]: Taking taylor expansion of -1 in x 1.921 * [taylor]: Taking taylor expansion of x in x 1.922 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 1/4)) in x 1.922 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.922 * [taylor]: Taking taylor expansion of 2.0 in x 1.922 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 1/4) in x 1.922 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) in x 1.922 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 1.922 * [taylor]: Taking taylor expansion of 1/4 in x 1.922 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.922 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.922 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.922 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.922 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.922 * [taylor]: Taking taylor expansion of x in x 1.923 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.923 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.923 * [taylor]: Taking taylor expansion of -1 in x 1.923 * [taylor]: Taking taylor expansion of x in x 1.978 * * * [progress]: simplifying candidates 1.997 * [simplify]: Simplifying using # : (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))))) (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))))) (- (- (log (sqrt 2.0)) (log (sqrt (sqrt (+ (exp x) (exp (- x))))))) (log (sqrt (cbrt (+ (exp x) (exp (- x))))))) (- (log (/ (sqrt 2.0) (sqrt 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x)) (exp x)) 5)) 1/12)) (* (sqrt 2.0) (pow (/ 1 (pow (+ (exp (* -1 x)) (exp x)) 5)) 1/12)) (- (+ (* (sqrt 2.0) (pow 1/2 1/4)) (* 11/384 (* (* (sqrt 2.0) (pow x 4)) (pow 1/2 1/4)))) (* 1/8 (* (* (sqrt 2.0) (pow x 2)) (pow 1/2 1/4)))) (* (sqrt 2.0) (pow (/ 1 (+ (exp (* -1 x)) (exp x))) 1/4)) (* (sqrt 2.0) (pow (/ 1 (+ (exp (* -1 x)) (exp x))) 1/4)) 2.182 * * * [progress]: adding candidates to table 4.028 * [progress]: [Phase 3 of 3] Extracting. 4.028 * * [regime]: Finding splitpoints for: (# #) 4.028 * * * [regime-changes]: Trying 2 branch expressions: ((+ (exp x) (exp (- x))) x) 4.029 * * * * [regimes]: Trying to branch on (+ (exp x) (exp (- x))) from (# #) 4.045 * * * * [regimes]: Trying to branch on x from (# #) 4.061 * * * [regime]: Found split indices: #