12.673 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying using # : (/ 2.0 (+ (exp x) (exp (neg x)))) 0.020 * * [simplify]: iteration 0 : 7 enodes (cost 8 ) 0.021 * * [simplify]: iteration 1 : 10 enodes (cost 8 ) 0.022 * * [simplify]: iteration 2 : 12 enodes (cost 8 ) 0.023 * * [simplify]: iteration done : 12 enodes (cost 8 ) 0.023 * [simplify]: Simplified to: (/ 2.0 (+ (exp x) (exp (neg x)))) 0.024 * * [progress]: iteration 1 / 4 0.024 * * * [progress]: picking best candidate 0.026 * * * * [pick]: Picked # 0.026 * * * [progress]: localizing error 0.033 * * * [progress]: generating rewritten candidates 0.033 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.040 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.046 * * * [progress]: generating series expansions 0.046 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.046 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (neg x)))) in (x) around 0 0.046 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (neg x)))) in x 0.046 * [taylor]: Taking taylor expansion of 2.0 in x 0.046 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (neg x))) in x 0.046 * [taylor]: Taking taylor expansion of (exp x) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (exp (neg x)) in x 0.046 * [taylor]: Taking taylor expansion of (neg x) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (neg x)))) in x 0.046 * [taylor]: Taking taylor expansion of 2.0 in x 0.046 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (neg x))) in x 0.046 * [taylor]: Taking taylor expansion of (exp x) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (exp (neg x)) in x 0.046 * [taylor]: Taking taylor expansion of (neg x) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.049 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (neg (/ 1 x))))) in (x) around 0 0.049 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (neg (/ 1 x))))) in x 0.049 * [taylor]: Taking taylor expansion of 2.0 in x 0.049 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))) in x 0.049 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 x))) in x 0.049 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (neg (/ 1 x))))) in x 0.049 * [taylor]: Taking taylor expansion of 2.0 in x 0.049 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))) in x 0.049 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 x))) in x 0.049 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.052 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 0.052 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.052 * [taylor]: Taking taylor expansion of 2.0 in x 0.052 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.052 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.052 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.052 * [taylor]: Taking taylor expansion of -1 in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.053 * [taylor]: Taking taylor expansion of 2.0 in x 0.053 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.053 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.053 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.053 * [taylor]: Taking taylor expansion of -1 in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.055 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.055 * [approximate]: Taking taylor expansion of (+ (exp x) (exp (neg x))) in (x) around 0 0.055 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (neg x))) in x 0.056 * [taylor]: Taking taylor expansion of (exp x) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of (exp (neg x)) in x 0.056 * [taylor]: Taking taylor expansion of (neg x) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (neg x))) in x 0.056 * [taylor]: Taking taylor expansion of (exp x) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of (exp (neg x)) in x 0.056 * [taylor]: Taking taylor expansion of (neg x) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.058 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))) in (x) around 0 0.058 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))) in x 0.058 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 x))) in x 0.058 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))) in x 0.058 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 x))) in x 0.058 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.059 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in (x) around 0 0.059 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.059 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.059 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.059 * [taylor]: Taking taylor expansion of -1 in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.059 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.059 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.059 * [taylor]: Taking taylor expansion of -1 in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * * * [progress]: simplifying candidates 0.060 * [simplify]: Simplifying using # : (- (log 2.0) (log (+ (exp x) (exp (neg x))))) (log (/ 2.0 (+ (exp x) (exp (neg x))))) (exp (/ 2.0 (+ (exp x) (exp (neg x))))) (/ (* (* 2.0 2.0) 2.0) (* (* (+ (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x))))) (* (cbrt (/ 2.0 (+ (exp x) (exp (neg x))))) (cbrt (/ 2.0 (+ (exp x) (exp (neg x)))))) (cbrt (/ 2.0 (+ (exp x) (exp (neg x))))) (* (* (/ 2.0 (+ (exp x) (exp (neg x)))) (/ 2.0 (+ (exp x) (exp (neg x))))) (/ 2.0 (+ (exp x) (exp (neg x))))) (sqrt (/ 2.0 (+ (exp x) (exp (neg x))))) (sqrt (/ 2.0 (+ (exp x) (exp (neg x))))) (neg 2.0) (neg (+ (exp x) (exp (neg x)))) (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt (+ (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x)))))) (/ (cbrt 2.0) (cbrt (+ (exp x) (exp (neg x))))) (/ (* (cbrt 2.0) (cbrt 2.0)) (sqrt (+ (exp x) (exp (neg x))))) (/ (cbrt 2.0) (sqrt (+ (exp x) (exp (neg x))))) (/ (* (cbrt 2.0) (cbrt 2.0)) 1) (/ (cbrt 2.0) (+ (exp x) (exp (neg x)))) (/ (* (cbrt 2.0) (cbrt 2.0)) 1) (/ (cbrt 2.0) (+ (exp x) (exp (neg x)))) (/ (sqrt 2.0) (* (cbrt (+ (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x)))))) (/ (sqrt 2.0) (cbrt (+ (exp x) (exp (neg x))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x))))) (/ (sqrt 2.0) 1) (/ (sqrt 2.0) (+ (exp x) (exp (neg x)))) (/ (sqrt 2.0) 1) (/ (sqrt 2.0) (+ (exp x) (exp (neg x)))) (/ 1 (* (cbrt (+ (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x)))))) (/ 2.0 (cbrt (+ (exp x) (exp (neg x))))) (/ 1 (sqrt (+ (exp x) (exp (neg x))))) (/ 2.0 (sqrt (+ (exp x) (exp (neg x))))) (/ 1 1) (/ 2.0 (+ (exp x) (exp (neg x)))) (/ 1 1) (/ 2.0 (+ (exp x) (exp (neg x)))) (/ 1 (+ (exp x) (exp (neg x)))) (/ (+ (exp x) (exp (neg x))) 2.0) (/ 2.0 (* (cbrt (+ (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x)))))) (/ 2.0 (sqrt (+ (exp x) (exp (neg x))))) (/ 2.0 1) (/ 2.0 1) (/ (+ (exp x) (exp (neg x))) (cbrt 2.0)) (/ (+ (exp x) (exp (neg x))) (sqrt 2.0)) (/ (+ (exp x) (exp (neg x))) 2.0) (/ 2.0 (+ (pow (exp x) 3) (pow (exp (neg x)) 3))) (/ 2.0 (- (* (exp x) (exp x)) (* (exp (neg x)) (exp (neg x))))) (* (exp (exp x)) (exp (exp (neg x)))) (log (+ (exp x) (exp (neg x)))) (exp (+ (exp x) (exp (neg x)))) (* (cbrt (+ (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x))))) (cbrt (+ (exp x) (exp (neg x)))) (* (* (+ (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x)))) (sqrt (+ (exp x) (exp (neg x)))) (sqrt (+ (exp x) (exp (neg x)))) (+ (pow (exp x) 3) (pow (exp (neg x)) 3)) (+ (* (exp x) (exp x)) (- (* (exp (neg x)) (exp (neg x))) (* (exp x) (exp (neg x))))) (- (* (exp x) (exp x)) (* (exp (neg x)) (exp (neg x)))) (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))) (- (+ 1.0 (* 0.20833333333333334 (pow x 4))) (* 0.5 (pow x 2))) (/ 2.0 (+ (exp x) (exp (neg x)))) (/ 2.0 (+ (exp x) (exp (* -1 x)))) (+ 2 (+ (pow x 2) (* 1/12 (pow x 4)))) (+ (exp x) (exp (neg x))) (+ (exp x) (exp (* -1 x))) 0.063 * * [simplify]: iteration 0 : 90 enodes (cost 649 ) 0.075 * * [simplify]: iteration 1 : 195 enodes (cost 620 ) 0.107 * * [simplify]: iteration 2 : 461 enodes (cost 568 ) 0.183 * * [simplify]: iteration 3 : 1131 enodes (cost 566 ) 0.448 * * [simplify]: iteration 4 : 3861 enodes (cost 566 ) 1.214 * * [simplify]: iteration done : 5001 enodes (cost 566 ) 1.214 * [simplify]: Simplified to: (log (/ 2.0 (+ (exp x) (exp (neg x))))) (log (/ 2.0 (+ (exp x) (exp (neg x))))) (exp (/ 2.0 (+ (exp x) (exp (neg x))))) (pow (/ 2.0 (+ (exp x) (exp (neg x)))) 3) (* (cbrt (/ 2.0 (+ (exp x) (exp (neg x))))) (cbrt (/ 2.0 (+ (exp x) (exp (neg x)))))) (cbrt (/ 2.0 (+ (exp x) (exp (neg x))))) (pow (/ 2.0 (+ (exp x) (exp (neg x)))) 3) (sqrt (/ 2.0 (+ (exp x) (exp (neg x))))) (sqrt (/ 2.0 (+ (exp x) (exp (neg x))))) (neg 2.0) (- (neg (exp x)) (exp (neg x))) (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt (+ (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x)))))) (/ (cbrt 2.0) (cbrt (+ (exp x) (exp (neg x))))) (/ (* (cbrt 2.0) (cbrt 2.0)) (sqrt (+ (exp x) (exp (neg x))))) (/ (cbrt 2.0) (sqrt (+ (exp x) (exp (neg x))))) (* (cbrt 2.0) (cbrt 2.0)) (/ (cbrt 2.0) (+ (exp x) (exp (neg x)))) (* (cbrt 2.0) (cbrt 2.0)) (/ (cbrt 2.0) (+ (exp x) (exp (neg x)))) (/ (sqrt 2.0) (* (cbrt (+ (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x)))))) (/ (sqrt 2.0) (cbrt (+ (exp x) (exp (neg x))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x))))) (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (neg x)))) (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (neg x)))) (/ 1 (* (cbrt (+ (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x)))))) (/ 2.0 (cbrt (+ (exp x) (exp (neg x))))) (/ 1 (sqrt (+ (exp x) (exp (neg x))))) (/ 2.0 (sqrt (+ (exp x) (exp (neg x))))) 1 (/ 2.0 (+ (exp x) (exp (neg x)))) 1 (/ 2.0 (+ (exp x) (exp (neg x)))) (/ 1 (+ (exp x) (exp (neg x)))) (/ (+ (exp x) (exp (neg x))) 2.0) (/ 2.0 (* (cbrt (+ (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x)))))) (/ 2.0 (sqrt (+ (exp x) (exp (neg x))))) 2.0 2.0 (/ (+ (exp x) (exp (neg x))) (cbrt 2.0)) (/ (+ (exp x) (exp (neg x))) (sqrt 2.0)) (/ (+ (exp x) (exp (neg x))) 2.0) (/ 2.0 (+ (pow (exp x) 3) (exp (* x -3)))) (/ 2.0 (- (exp (+ x x)) (exp (* x -2)))) (exp (+ (exp x) (exp (neg x)))) (log (+ (exp x) (exp (neg x)))) (exp (+ (exp x) (exp (neg x)))) (* (cbrt (+ (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x))))) (cbrt (+ (exp (neg x)) (exp x))) (pow (+ (exp x) (exp (neg x))) 3) (sqrt (+ (exp (neg x)) (exp x))) (sqrt (+ (exp (neg x)) (exp x))) (+ (pow (exp x) 3) (exp (* x -3))) (+ (exp (* x -2)) (+ -1 (exp (+ x x)))) (- (exp (+ x x)) (exp (* x -2))) (- (exp x) (exp (neg x))) (+ (exp (neg x)) (exp x)) (- (+ 1.0 (* 0.20833333333333334 (pow x 4))) (* 0.5 (pow x 2))) (/ 2.0 (+ (exp x) (exp (neg x)))) (/ 2.0 (+ (exp x) (exp (neg x)))) (+ 2 (+ (pow x 2) (* 1/12 (pow x 4)))) (+ (exp (neg x)) (exp x)) (+ (exp (neg x)) (exp x)) 1.215 * * * [progress]: adding candidates to table 1.271 * * [progress]: iteration 2 / 4 1.271 * * * [progress]: picking best candidate 1.280 * * * * [pick]: Picked # 1.281 * * * [progress]: localizing error 1.291 * * * [progress]: generating rewritten candidates 1.291 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.296 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.301 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.311 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.327 * * * [progress]: generating series expansions 1.327 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.327 * [approximate]: Taking taylor expansion of (sqrt (+ (exp x) (exp (neg x)))) in (x) around 0 1.327 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) (exp (neg x)))) in x 1.328 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (neg x))) in x 1.328 * [taylor]: Taking taylor expansion of (exp x) in x 1.328 * [taylor]: Taking taylor expansion of x in x 1.328 * [taylor]: Taking taylor expansion of (exp (neg x)) in x 1.328 * [taylor]: Taking taylor expansion of (neg x) in x 1.328 * [taylor]: Taking taylor expansion of x in x 1.328 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) (exp (neg x)))) in x 1.328 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (neg x))) in x 1.328 * [taylor]: Taking taylor expansion of (exp x) in x 1.328 * [taylor]: Taking taylor expansion of x in x 1.328 * [taylor]: Taking taylor expansion of (exp (neg x)) in x 1.328 * [taylor]: Taking taylor expansion of (neg x) in x 1.328 * [taylor]: Taking taylor expansion of x in x 1.331 * [approximate]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (neg (/ 1 x))))) in (x) around 0 1.331 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (neg (/ 1 x))))) in x 1.331 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))) in x 1.331 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.331 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.331 * [taylor]: Taking taylor expansion of x in x 1.331 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 x))) in x 1.331 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 1.331 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.331 * [taylor]: Taking taylor expansion of x in x 1.331 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (neg (/ 1 x))))) in x 1.331 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))) in x 1.331 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.331 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.331 * [taylor]: Taking taylor expansion of x in x 1.331 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 x))) in x 1.331 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 1.331 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.331 * [taylor]: Taking taylor expansion of x in x 1.333 * [approximate]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 1.333 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.333 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.333 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.333 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.333 * [taylor]: Taking taylor expansion of x in x 1.333 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.333 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.333 * [taylor]: Taking taylor expansion of -1 in x 1.333 * [taylor]: Taking taylor expansion of x in x 1.333 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.333 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.333 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.333 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.333 * [taylor]: Taking taylor expansion of x in x 1.333 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.333 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.333 * [taylor]: Taking taylor expansion of -1 in x 1.333 * [taylor]: Taking taylor expansion of x in x 1.335 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.335 * [approximate]: Taking taylor expansion of (sqrt (+ (exp x) (exp (neg x)))) in (x) around 0 1.335 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) (exp (neg x)))) in x 1.335 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (neg x))) in x 1.335 * [taylor]: Taking taylor expansion of (exp x) in x 1.335 * [taylor]: Taking taylor expansion of x in x 1.335 * [taylor]: Taking taylor expansion of (exp (neg x)) in x 1.335 * [taylor]: Taking taylor expansion of (neg x) in x 1.335 * [taylor]: Taking taylor expansion of x in x 1.335 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) (exp (neg x)))) in x 1.335 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (neg x))) in x 1.335 * [taylor]: Taking taylor expansion of (exp x) in x 1.335 * [taylor]: Taking taylor expansion of x in x 1.335 * [taylor]: Taking taylor expansion of (exp (neg x)) in x 1.335 * [taylor]: Taking taylor expansion of (neg x) in x 1.335 * [taylor]: Taking taylor expansion of x in x 1.338 * [approximate]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (neg (/ 1 x))))) in (x) around 0 1.338 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (neg (/ 1 x))))) in x 1.338 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))) in x 1.338 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.338 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.338 * [taylor]: Taking taylor expansion of x in x 1.338 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 x))) in x 1.338 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 1.338 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.338 * [taylor]: Taking taylor expansion of x in x 1.338 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (neg (/ 1 x))))) in x 1.338 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))) in x 1.338 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.338 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.338 * [taylor]: Taking taylor expansion of x in x 1.339 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 x))) in x 1.339 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 1.339 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.339 * [taylor]: Taking taylor expansion of x in x 1.340 * [approximate]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 1.340 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.340 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.340 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.340 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.340 * [taylor]: Taking taylor expansion of x in x 1.340 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.340 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.340 * [taylor]: Taking taylor expansion of -1 in x 1.340 * [taylor]: Taking taylor expansion of x in x 1.340 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.340 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.340 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.340 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.340 * [taylor]: Taking taylor expansion of x in x 1.341 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.341 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.341 * [taylor]: Taking taylor expansion of -1 in x 1.341 * [taylor]: Taking taylor expansion of x in x 1.342 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.342 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (neg x))))) (sqrt 2.0)) in (x) around 0 1.342 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (neg x))))) (sqrt 2.0)) in x 1.342 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (neg x))))) in x 1.342 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (neg x)))) in x 1.342 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (neg x))) in x 1.342 * [taylor]: Taking taylor expansion of (exp x) in x 1.342 * [taylor]: Taking taylor expansion of x in x 1.342 * [taylor]: Taking taylor expansion of (exp (neg x)) in x 1.342 * [taylor]: Taking taylor expansion of (neg x) in x 1.342 * [taylor]: Taking taylor expansion of x in x 1.342 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.342 * [taylor]: Taking taylor expansion of 2.0 in x 1.342 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (neg x))))) (sqrt 2.0)) in x 1.342 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (neg x))))) in x 1.342 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (neg x)))) in x 1.342 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (neg x))) in x 1.343 * [taylor]: Taking taylor expansion of (exp x) in x 1.343 * [taylor]: Taking taylor expansion of x in x 1.343 * [taylor]: Taking taylor expansion of (exp (neg x)) in x 1.343 * [taylor]: Taking taylor expansion of (neg x) in x 1.343 * [taylor]: Taking taylor expansion of x in x 1.343 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.343 * [taylor]: Taking taylor expansion of 2.0 in x 1.347 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))))) (sqrt 2.0)) in (x) around 0 1.347 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))))) (sqrt 2.0)) in x 1.347 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))))) in x 1.347 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (neg (/ 1 x))))) in x 1.347 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))) in x 1.347 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.347 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.347 * [taylor]: Taking taylor expansion of x in x 1.347 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 x))) in x 1.347 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 1.347 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.347 * [taylor]: Taking taylor expansion of x in x 1.347 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.347 * [taylor]: Taking taylor expansion of 2.0 in x 1.347 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))))) (sqrt 2.0)) in x 1.347 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))))) in x 1.348 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (neg (/ 1 x))))) in x 1.348 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))) in x 1.348 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.348 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.348 * [taylor]: Taking taylor expansion of x in x 1.348 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 x))) in x 1.348 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 1.348 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.348 * [taylor]: Taking taylor expansion of x in x 1.348 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.348 * [taylor]: Taking taylor expansion of 2.0 in x 1.356 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (sqrt 2.0)) in (x) around 0 1.356 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (sqrt 2.0)) in x 1.357 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.357 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.357 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.357 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.357 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.357 * [taylor]: Taking taylor expansion of x in x 1.357 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.357 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.357 * [taylor]: Taking taylor expansion of -1 in x 1.357 * [taylor]: Taking taylor expansion of x in x 1.357 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.357 * [taylor]: Taking taylor expansion of 2.0 in x 1.357 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (sqrt 2.0)) in x 1.357 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.357 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.357 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.357 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.357 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.357 * [taylor]: Taking taylor expansion of x in x 1.357 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.357 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.358 * [taylor]: Taking taylor expansion of -1 in x 1.358 * [taylor]: Taking taylor expansion of x in x 1.358 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.358 * [taylor]: Taking taylor expansion of 2.0 in x 1.362 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.362 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (neg x))))) (sqrt 2.0)) in (x) around 0 1.362 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (neg x))))) (sqrt 2.0)) in x 1.362 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (neg x))))) in x 1.362 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (neg x)))) in x 1.362 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (neg x))) in x 1.362 * [taylor]: Taking taylor expansion of (exp x) in x 1.362 * [taylor]: Taking taylor expansion of x in x 1.362 * [taylor]: Taking taylor expansion of (exp (neg x)) in x 1.362 * [taylor]: Taking taylor expansion of (neg x) in x 1.362 * [taylor]: Taking taylor expansion of x in x 1.363 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.363 * [taylor]: Taking taylor expansion of 2.0 in x 1.363 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (neg x))))) (sqrt 2.0)) in x 1.363 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (neg x))))) in x 1.363 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (neg x)))) in x 1.363 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (neg x))) in x 1.363 * [taylor]: Taking taylor expansion of (exp x) in x 1.363 * [taylor]: Taking taylor expansion of x in x 1.363 * [taylor]: Taking taylor expansion of (exp (neg x)) in x 1.363 * [taylor]: Taking taylor expansion of (neg x) in x 1.363 * [taylor]: Taking taylor expansion of x in x 1.363 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.363 * [taylor]: Taking taylor expansion of 2.0 in x 1.367 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))))) (sqrt 2.0)) in (x) around 0 1.368 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))))) (sqrt 2.0)) in x 1.368 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))))) in x 1.368 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (neg (/ 1 x))))) in x 1.368 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (neg (/ 1 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 x in x 1.368 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 x))) in x 1.368 * [taylor]: Taking taylor expansion of (neg (/ 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 (sqrt 2.0) in x 1.368 * [taylor]: Taking taylor expansion of 2.0 in x 1.368 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))))) (sqrt 2.0)) in x 1.368 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))))) in x 1.368 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (neg (/ 1 x))))) in x 1.368 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (neg (/ 1 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 1.369 * [taylor]: Taking taylor expansion of x in x 1.369 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 x))) in x 1.369 * [taylor]: Taking taylor expansion of (neg (/ 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 (sqrt 2.0) in x 1.369 * [taylor]: Taking taylor expansion of 2.0 in x 1.374 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (sqrt 2.0)) in (x) around 0 1.374 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (sqrt 2.0)) in x 1.374 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.374 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.374 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.374 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.374 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.374 * [taylor]: Taking taylor expansion of x in x 1.374 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.374 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.374 * [taylor]: Taking taylor expansion of -1 in x 1.374 * [taylor]: Taking taylor expansion of x in x 1.374 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.374 * [taylor]: Taking taylor expansion of 2.0 in x 1.374 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (sqrt 2.0)) in x 1.374 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.374 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.374 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.374 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.375 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.375 * [taylor]: Taking taylor expansion of x in x 1.375 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.375 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.375 * [taylor]: Taking taylor expansion of -1 in x 1.375 * [taylor]: Taking taylor expansion of x in x 1.375 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.375 * [taylor]: Taking taylor expansion of 2.0 in x 1.379 * * * [progress]: simplifying candidates 1.382 * [simplify]: Simplifying using # : (log (sqrt (+ (exp x) (exp (neg x))))) (exp (sqrt (+ (exp x) (exp (neg x))))) (* (cbrt (sqrt (+ (exp x) (exp (neg x))))) (cbrt (sqrt (+ (exp x) (exp (neg x)))))) (cbrt (sqrt (+ (exp x) (exp (neg x))))) (* (* (sqrt (+ (exp x) (exp (neg x)))) (sqrt (+ (exp x) (exp (neg x))))) (sqrt (+ (exp x) (exp (neg x))))) (sqrt (* (cbrt (+ (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x)))))) (sqrt (cbrt (+ (exp x) (exp (neg x))))) (sqrt (sqrt (+ (exp x) (exp (neg x))))) (sqrt (sqrt (+ (exp x) (exp (neg x))))) (sqrt 1) (sqrt (+ (exp x) (exp (neg x)))) (sqrt 1) (sqrt (+ (exp x) (exp (neg x)))) (sqrt (+ (pow (exp x) 3) (pow (exp (neg x)) 3))) (sqrt (+ (* (exp x) (exp x)) (- (* (exp (neg x)) (exp (neg x))) (* (exp x) (exp (neg x)))))) (sqrt (- (* (exp x) (exp x)) (* (exp (neg x)) (exp (neg x))))) (sqrt (- (exp x) (exp (neg x)))) (/ 1 2) (sqrt (sqrt (+ (exp x) (exp (neg x))))) (sqrt (sqrt (+ (exp x) (exp (neg x))))) (log (sqrt (+ (exp x) (exp (neg x))))) (exp (sqrt (+ (exp x) (exp (neg x))))) (* (cbrt (sqrt (+ (exp x) (exp (neg x))))) (cbrt (sqrt (+ (exp x) (exp (neg x)))))) (cbrt (sqrt (+ (exp x) (exp (neg x))))) (* (* (sqrt (+ (exp x) (exp (neg x)))) (sqrt (+ (exp x) (exp (neg x))))) (sqrt (+ (exp x) (exp (neg x))))) (sqrt (* (cbrt (+ (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x)))))) (sqrt (cbrt (+ (exp x) (exp (neg x))))) (sqrt (sqrt (+ (exp x) (exp (neg x))))) (sqrt (sqrt (+ (exp x) (exp (neg x))))) (sqrt 1) (sqrt (+ (exp x) (exp (neg x)))) (sqrt 1) (sqrt (+ (exp x) (exp (neg x)))) (sqrt (+ (pow (exp x) 3) (pow (exp (neg x)) 3))) (sqrt (+ (* (exp x) (exp x)) (- (* (exp (neg x)) (exp (neg x))) (* (exp x) (exp (neg x)))))) (sqrt (- (* (exp x) (exp x)) (* (exp (neg x)) (exp (neg x))))) (sqrt (- (exp x) (exp (neg x)))) (/ 1 2) (sqrt (sqrt (+ (exp x) (exp (neg x))))) (sqrt (sqrt (+ (exp x) (exp (neg x))))) (- (log (sqrt 2.0)) (log (sqrt (+ (exp x) (exp (neg x)))))) (log (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))) (exp (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))) (/ (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (sqrt (+ (exp x) (exp (neg x)))) (sqrt (+ (exp x) (exp (neg x))))) (sqrt (+ (exp x) (exp (neg x)))))) (* (cbrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))) (cbrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x))))))) (cbrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))) (* (* (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))) (/ 2.0 (+ (exp x) (exp (neg x)))) (sqrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))) (sqrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))) (neg (sqrt 2.0)) (neg (sqrt (+ (exp x) (exp (neg x))))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt (+ (exp x) (exp (neg x))))) (cbrt (sqrt (+ (exp x) (exp (neg x))))))) (/ (cbrt (sqrt 2.0)) (cbrt (sqrt (+ (exp x) (exp (neg x)))))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (* (cbrt (+ (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x))))))) (/ (cbrt (sqrt 2.0)) (sqrt (cbrt (+ (exp x) (exp (neg x)))))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (sqrt (+ (exp x) (exp (neg x)))))) (/ (cbrt (sqrt 2.0)) (sqrt (sqrt (+ (exp x) (exp (neg x)))))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt 1)) (/ (cbrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (neg x))))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt 1)) (/ (cbrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (neg x))))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (sqrt (+ (exp x) (exp (neg x)))))) (/ (cbrt (sqrt 2.0)) (sqrt (sqrt (+ (exp x) (exp (neg x)))))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (/ (cbrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (neg x))))) (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (sqrt (+ (exp x) (exp (neg x))))) (cbrt (sqrt (+ (exp x) (exp (neg x))))))) (/ (sqrt (cbrt 2.0)) (cbrt (sqrt (+ (exp x) (exp (neg x)))))) (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (* (cbrt (+ (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x))))))) (/ (sqrt (cbrt 2.0)) (sqrt (cbrt (+ (exp x) (exp (neg x)))))) (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (sqrt (+ (exp x) (exp (neg x)))))) (/ (sqrt (cbrt 2.0)) (sqrt (sqrt (+ (exp x) (exp (neg x)))))) (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt 1)) (/ (sqrt (cbrt 2.0)) (sqrt (+ (exp x) (exp (neg x))))) (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt 1)) (/ (sqrt (cbrt 2.0)) (sqrt (+ (exp x) (exp (neg x))))) (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (sqrt (+ (exp x) (exp (neg x)))))) (/ (sqrt (cbrt 2.0)) (sqrt (sqrt (+ (exp x) (exp (neg x)))))) (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1) (/ (sqrt (cbrt 2.0)) (sqrt (+ (exp x) (exp (neg x))))) (/ (sqrt (sqrt 2.0)) (* (cbrt (sqrt (+ (exp x) (exp (neg x))))) (cbrt (sqrt (+ (exp x) (exp (neg x))))))) (/ (sqrt (sqrt 2.0)) (cbrt (sqrt (+ (exp x) (exp (neg x)))))) (/ (sqrt (sqrt 2.0)) (sqrt (* (cbrt (+ (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x))))))) (/ (sqrt (sqrt 2.0)) (sqrt (cbrt (+ (exp x) (exp (neg x)))))) (/ (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (exp x) (exp (neg x)))))) (/ (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (exp x) (exp (neg x)))))) (/ (sqrt (sqrt 2.0)) (sqrt 1)) (/ (sqrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (neg x))))) (/ (sqrt (sqrt 2.0)) (sqrt 1)) (/ (sqrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (neg x))))) (/ (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (exp x) (exp (neg x)))))) (/ (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (exp x) (exp (neg x)))))) (/ (sqrt (sqrt 2.0)) 1) (/ (sqrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (neg x))))) (/ (sqrt 1) (* (cbrt (sqrt (+ (exp x) (exp (neg x))))) (cbrt (sqrt (+ (exp x) (exp (neg x))))))) (/ (sqrt 2.0) (cbrt (sqrt (+ (exp x) (exp (neg x)))))) (/ (sqrt 1) (sqrt (* (cbrt (+ (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x))))))) (/ (sqrt 2.0) (sqrt (cbrt (+ (exp x) (exp (neg x)))))) (/ (sqrt 1) (sqrt (sqrt (+ (exp x) (exp (neg x)))))) (/ (sqrt 2.0) (sqrt (sqrt (+ (exp x) (exp (neg x)))))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x))))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x))))) (/ (sqrt 1) (sqrt (sqrt (+ (exp x) (exp (neg 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(sqrt (+ (exp x) (exp (neg x)))))) (pow (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x))))) 3) (* (cbrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))) (cbrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x))))))) (cbrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))) (pow (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x))))) 3) (/ 2.0 (+ (exp x) (exp (neg x)))) (sqrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))) (sqrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))) (neg (sqrt 2.0)) (neg (sqrt (+ (exp x) (exp (neg x))))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt (+ (exp x) (exp (neg x))))) (cbrt (sqrt (+ (exp x) (exp (neg x))))))) (/ (cbrt (sqrt 2.0)) (cbrt (sqrt (+ (exp x) (exp (neg x)))))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (fabs (cbrt (+ (exp x) (exp (neg x)))))) (/ (cbrt (sqrt 2.0)) (sqrt (cbrt (+ (exp x) (exp (neg x)))))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (sqrt (+ (exp x) (exp (neg x)))))) (/ (cbrt (sqrt 2.0)) (sqrt (sqrt (+ (exp x) (exp (neg x)))))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (/ (cbrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (neg x))))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (/ (cbrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (neg x))))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (sqrt (+ (exp x) (exp (neg x)))))) (/ (cbrt (sqrt 2.0)) (sqrt (sqrt (+ (exp x) (exp (neg x)))))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (/ (cbrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (neg x))))) (/ (/ (fabs (cbrt 2.0)) (cbrt (sqrt (+ (exp x) (exp (neg x)))))) (cbrt (sqrt (+ (exp x) (exp (neg x)))))) (/ (sqrt (cbrt 2.0)) (cbrt (sqrt (+ (exp x) (exp (neg x)))))) (/ (fabs (cbrt 2.0)) (fabs (cbrt (+ (exp x) (exp (neg x)))))) (/ (sqrt (cbrt 2.0)) (sqrt (cbrt (+ (exp x) (exp (neg x)))))) (/ (fabs (cbrt 2.0)) (sqrt (sqrt (+ (exp x) (exp (neg x)))))) (/ (sqrt (cbrt 2.0)) (sqrt (sqrt (+ (exp x) (exp (neg x)))))) (fabs (cbrt 2.0)) (/ (sqrt (cbrt 2.0)) (sqrt (+ (exp x) (exp (neg x))))) (fabs (cbrt 2.0)) (/ (sqrt (cbrt 2.0)) (sqrt (+ (exp x) (exp (neg x))))) (/ (fabs (cbrt 2.0)) (sqrt (sqrt (+ (exp x) (exp (neg x)))))) (/ (sqrt (cbrt 2.0)) (sqrt (sqrt (+ (exp x) (exp (neg x)))))) (fabs (cbrt 2.0)) (/ (sqrt (cbrt 2.0)) (sqrt (+ (exp x) (exp (neg x))))) (/ (sqrt (sqrt 2.0)) (* (cbrt (sqrt (+ (exp x) (exp (neg x))))) (cbrt (sqrt (+ (exp x) (exp (neg x))))))) (/ (sqrt (sqrt 2.0)) (cbrt (sqrt (+ (exp x) (exp (neg x)))))) (/ (sqrt (sqrt 2.0)) (fabs (cbrt (+ (exp x) (exp (neg x)))))) (/ (sqrt (sqrt 2.0)) (sqrt (cbrt (+ (exp x) (exp (neg x)))))) (/ (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (exp x) (exp (neg x)))))) (/ (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (exp x) (exp (neg x)))))) (sqrt (sqrt 2.0)) (/ (sqrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (neg x))))) (sqrt (sqrt 2.0)) (/ (sqrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (neg x))))) (/ (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (exp x) (exp (neg x)))))) (/ (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (exp x) (exp (neg x)))))) (sqrt (sqrt 2.0)) (/ (sqrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (neg x))))) (/ 1 (* (cbrt (sqrt (+ (exp x) (exp (neg x))))) (cbrt (sqrt (+ (exp x) (exp (neg x))))))) (/ (sqrt 2.0) (cbrt (sqrt (+ (exp x) (exp (neg x)))))) (/ 1 (fabs (cbrt (+ (exp x) (exp (neg x)))))) (/ (sqrt 2.0) (sqrt (cbrt (+ (exp x) (exp (neg x)))))) (/ 1 (sqrt (sqrt (+ (exp x) (exp (neg x)))))) (/ (sqrt 2.0) (sqrt (sqrt (+ (exp x) (exp (neg x)))))) 1 (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x))))) 1 (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x))))) (/ 1 (sqrt (sqrt (+ (exp x) (exp (neg x)))))) (/ (sqrt 2.0) (sqrt (sqrt (+ (exp x) (exp (neg x)))))) 1 (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x))))) (/ (sqrt (sqrt 2.0)) (* (cbrt (sqrt (+ (exp x) (exp (neg x))))) (cbrt (sqrt (+ (exp x) (exp (neg x))))))) (/ (sqrt (sqrt 2.0)) (cbrt (sqrt (+ (exp x) (exp (neg x)))))) (/ (sqrt (sqrt 2.0)) (fabs (cbrt (+ (exp x) (exp (neg x)))))) (/ (sqrt (sqrt 2.0)) (sqrt (cbrt (+ (exp x) (exp (neg x)))))) (/ (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (exp x) (exp (neg x)))))) (/ (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (exp x) (exp (neg x)))))) (sqrt (sqrt 2.0)) (/ (sqrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (neg x))))) (sqrt (sqrt 2.0)) (/ (sqrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (neg x))))) (/ (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (exp x) (exp (neg x)))))) (/ (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (exp x) (exp (neg x)))))) (sqrt (sqrt 2.0)) (/ (sqrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (neg x))))) (/ 1 (* (cbrt (sqrt (+ (exp x) (exp (neg x))))) (cbrt (sqrt (+ (exp x) (exp (neg x))))))) (/ (sqrt 2.0) (cbrt (sqrt (+ (exp x) (exp (neg x)))))) (/ 1 (fabs (cbrt (+ (exp x) (exp (neg x)))))) (/ (sqrt 2.0) (sqrt (cbrt (+ (exp x) (exp (neg x)))))) (/ 1 (sqrt (sqrt (+ (exp x) (exp (neg x)))))) (/ (sqrt 2.0) (sqrt (sqrt (+ (exp x) (exp (neg x)))))) 1 (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x))))) 1 (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x))))) (/ 1 (sqrt (sqrt (+ (exp x) (exp (neg x)))))) (/ (sqrt 2.0) (sqrt (sqrt (+ (exp x) (exp (neg x)))))) 1 (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x))))) (/ 1 (sqrt (+ (exp x) (exp (neg x))))) (/ (sqrt (+ (exp x) (exp (neg x)))) (sqrt 2.0)) (/ (sqrt 2.0) (* (cbrt (sqrt (+ (exp x) (exp (neg x))))) (cbrt (sqrt (+ (exp x) (exp (neg x))))))) (/ (sqrt 2.0) (fabs (cbrt (+ (exp x) (exp (neg x)))))) (/ (sqrt 2.0) (sqrt (sqrt (+ (exp x) (exp (neg x)))))) (sqrt 2.0) (sqrt 2.0) (/ (sqrt 2.0) (sqrt (sqrt (+ (exp x) (exp (neg x)))))) (sqrt 2.0) (/ (sqrt (+ (exp x) (exp (neg x)))) (cbrt (sqrt 2.0))) (/ (sqrt (+ (exp x) (exp (neg x)))) (sqrt (cbrt 2.0))) (/ (sqrt (+ (exp x) (exp (neg x)))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (exp x) (exp (neg x)))) (sqrt 2.0)) (/ (sqrt (+ (exp x) (exp (neg x)))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (exp x) (exp (neg x)))) (sqrt 2.0)) (/ (sqrt 2.0) (sqrt (+ (exp (* x -3)) (pow (exp x) 3)))) (/ (sqrt 2.0) (sqrt (- (exp (+ x x)) (exp (* x -2))))) (+ (sqrt 2) (+ (* (/ (pow x 4) (sqrt 2)) -1/48) (* 1/2 (/ (pow x 2) (sqrt 2))))) (sqrt (+ (exp x) (exp (neg x)))) (sqrt (+ (exp x) (exp (neg x)))) (+ (sqrt 2) (+ (* (/ (pow x 4) (sqrt 2)) -1/48) (* 1/2 (/ (pow x 2) (sqrt 2))))) (sqrt (+ (exp x) (exp (neg x)))) (sqrt (+ (exp x) (exp (neg x)))) (- (+ (* (sqrt 1/2) (sqrt 2.0)) (* (/ (* (pow x 4) (sqrt 2.0)) (sqrt 1/2)) 7/192)) (* 1/8 (/ (* (pow x 2) (sqrt 2.0)) (sqrt 1/2)))) (* (sqrt (/ 1 (+ (exp x) (exp (neg x))))) (sqrt 2.0)) (* (sqrt (/ 1 (+ (exp x) (exp (neg x))))) (sqrt 2.0)) (- (+ (* (sqrt 1/2) (sqrt 2.0)) (* (/ (* (pow x 4) (sqrt 2.0)) (sqrt 1/2)) 7/192)) (* 1/8 (/ (* (pow x 2) (sqrt 2.0)) (sqrt 1/2)))) (* (sqrt (/ 1 (+ (exp x) (exp (neg x))))) (sqrt 2.0)) (* (sqrt (/ 1 (+ (exp x) (exp (neg x))))) (sqrt 2.0)) 1.926 * * * [progress]: adding candidates to table 2.136 * * [progress]: iteration 3 / 4 2.136 * * * [progress]: picking best candidate 2.146 * * * * [pick]: Picked # 2.146 * * * [progress]: localizing error 2.159 * * * [progress]: generating rewritten candidates 2.159 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.176 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2) 2.185 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 2.190 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 2.212 * * * [progress]: generating series expansions 2.212 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.213 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (neg x))))) (sqrt 2.0)) in (x) around 0 2.213 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (neg x))))) (sqrt 2.0)) in x 2.213 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (neg x))))) in x 2.213 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (neg x)))) in x 2.213 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (neg x))) in x 2.213 * [taylor]: Taking taylor expansion of (exp x) in x 2.213 * [taylor]: Taking taylor expansion of x in x 2.213 * [taylor]: Taking taylor expansion of (exp (neg x)) in x 2.213 * [taylor]: Taking taylor expansion of (neg x) in x 2.213 * [taylor]: Taking taylor expansion of x in x 2.213 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 2.213 * [taylor]: Taking taylor expansion of 2.0 in x 2.213 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (neg x))))) (sqrt 2.0)) in x 2.213 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (neg x))))) in x 2.213 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (neg x)))) in x 2.213 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (neg x))) in x 2.213 * [taylor]: Taking taylor expansion of (exp x) in x 2.213 * [taylor]: Taking taylor expansion of x in x 2.213 * [taylor]: Taking taylor expansion of (exp (neg x)) in x 2.213 * [taylor]: Taking taylor expansion of (neg x) in x 2.213 * [taylor]: Taking taylor expansion of x in x 2.214 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 2.214 * [taylor]: Taking taylor expansion of 2.0 in x 2.217 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))))) (sqrt 2.0)) in (x) around 0 2.217 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))))) (sqrt 2.0)) in x 2.217 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))))) in x 2.218 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (neg (/ 1 x))))) in x 2.218 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))) in x 2.218 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.218 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.218 * [taylor]: Taking taylor expansion of x in x 2.218 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 x))) in x 2.218 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 2.218 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.218 * [taylor]: Taking taylor expansion of x in x 2.218 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 2.218 * [taylor]: Taking taylor expansion of 2.0 in x 2.218 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))))) (sqrt 2.0)) in x 2.218 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))))) in x 2.218 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (neg (/ 1 x))))) in x 2.218 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))) in x 2.218 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.218 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.218 * [taylor]: Taking taylor expansion of x in x 2.218 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 x))) in x 2.218 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 2.219 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.219 * [taylor]: Taking taylor expansion of x in x 2.219 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 2.219 * [taylor]: Taking taylor expansion of 2.0 in x 2.224 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (sqrt 2.0)) in (x) around 0 2.224 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (sqrt 2.0)) in x 2.224 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 2.224 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 2.224 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 2.224 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.224 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.224 * [taylor]: Taking taylor expansion of x in x 2.224 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.224 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.224 * [taylor]: Taking taylor expansion of -1 in x 2.224 * [taylor]: Taking taylor expansion of x in x 2.224 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 2.224 * [taylor]: Taking taylor expansion of 2.0 in x 2.225 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (sqrt 2.0)) in x 2.225 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 2.225 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 2.225 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 2.225 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.225 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.225 * [taylor]: Taking taylor expansion of x in x 2.225 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.225 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.225 * [taylor]: Taking taylor expansion of -1 in x 2.225 * [taylor]: Taking taylor expansion of x in x 2.225 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 2.225 * [taylor]: Taking taylor expansion of 2.0 in x 2.229 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2) 2.229 * [approximate]: Taking taylor expansion of (sqrt (+ (exp x) (exp (neg x)))) in (x) around 0 2.229 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) (exp (neg x)))) in x 2.229 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (neg x))) in x 2.229 * [taylor]: Taking taylor expansion of (exp x) in x 2.229 * [taylor]: Taking taylor expansion of x in x 2.229 * [taylor]: Taking taylor expansion of (exp (neg x)) in x 2.229 * [taylor]: Taking taylor expansion of (neg x) in x 2.229 * [taylor]: Taking taylor expansion of x in x 2.230 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) (exp (neg x)))) in x 2.230 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (neg x))) in x 2.230 * [taylor]: Taking taylor expansion of (exp x) in x 2.230 * [taylor]: Taking taylor expansion of x in x 2.230 * [taylor]: Taking taylor expansion of (exp (neg x)) in x 2.230 * [taylor]: Taking taylor expansion of (neg x) in x 2.230 * [taylor]: Taking taylor expansion of x in x 2.232 * [approximate]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (neg (/ 1 x))))) in (x) around 0 2.232 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (neg (/ 1 x))))) in x 2.232 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))) in x 2.232 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.232 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.232 * [taylor]: Taking taylor expansion of x in x 2.233 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 x))) in x 2.233 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 2.233 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.233 * [taylor]: Taking taylor expansion of x in x 2.233 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (neg (/ 1 x))))) in x 2.233 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))) in x 2.233 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.233 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.233 * [taylor]: Taking taylor expansion of x in x 2.233 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 x))) in x 2.233 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 2.233 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.233 * [taylor]: Taking taylor expansion of x in x 2.234 * [approximate]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 2.234 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 2.234 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 2.235 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.235 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.235 * [taylor]: Taking taylor expansion of x in x 2.235 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.235 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.235 * [taylor]: Taking taylor expansion of -1 in x 2.235 * [taylor]: Taking taylor expansion of x in x 2.235 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 2.235 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 2.235 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.235 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.235 * [taylor]: Taking taylor expansion of x in x 2.235 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.235 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.235 * [taylor]: Taking taylor expansion of -1 in x 2.235 * [taylor]: Taking taylor expansion of x in x 2.236 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 2.236 * [approximate]: Taking taylor expansion of (sqrt (+ (exp x) (exp (neg x)))) in (x) around 0 2.236 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) (exp (neg x)))) in x 2.236 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (neg x))) in x 2.236 * [taylor]: Taking taylor expansion of (exp x) in x 2.236 * [taylor]: Taking taylor expansion of x in x 2.236 * [taylor]: Taking taylor expansion of (exp (neg x)) in x 2.236 * [taylor]: Taking taylor expansion of (neg x) in x 2.236 * [taylor]: Taking taylor expansion of x in x 2.237 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) (exp (neg x)))) in x 2.237 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (neg x))) in x 2.237 * [taylor]: Taking taylor expansion of (exp x) in x 2.237 * [taylor]: Taking taylor expansion of x in x 2.237 * [taylor]: Taking taylor expansion of (exp (neg x)) in x 2.237 * [taylor]: Taking taylor expansion of (neg x) in x 2.237 * [taylor]: Taking taylor expansion of x in x 2.239 * [approximate]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (neg (/ 1 x))))) in (x) around 0 2.239 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (neg (/ 1 x))))) in x 2.239 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))) in x 2.240 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.240 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.240 * [taylor]: Taking taylor expansion of x in x 2.240 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 x))) in x 2.240 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 2.240 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.240 * [taylor]: Taking taylor expansion of x in x 2.240 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (neg (/ 1 x))))) in x 2.240 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))) in x 2.240 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.240 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.240 * [taylor]: Taking taylor expansion of x in x 2.240 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 x))) in x 2.240 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 2.240 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.240 * [taylor]: Taking taylor expansion of x in x 2.241 * [approximate]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 2.242 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 2.242 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 2.242 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.242 * [taylor]: Taking taylor expansion of x in x 2.242 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.242 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.242 * [taylor]: Taking taylor expansion of -1 in x 2.242 * [taylor]: Taking taylor expansion of x in x 2.242 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 2.242 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 2.242 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.242 * [taylor]: Taking taylor expansion of x in x 2.242 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.242 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.242 * [taylor]: Taking taylor expansion of -1 in x 2.242 * [taylor]: Taking taylor expansion of x in x 2.244 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 2.244 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (neg x))))) (sqrt 2.0)) in (x) around 0 2.244 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (neg x))))) (sqrt 2.0)) in x 2.244 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (neg x))))) in x 2.244 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (neg x)))) in x 2.244 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (neg x))) in x 2.244 * [taylor]: Taking taylor expansion of (exp x) in x 2.244 * [taylor]: Taking taylor expansion of x in x 2.244 * [taylor]: Taking taylor expansion of (exp (neg x)) in x 2.244 * [taylor]: Taking taylor expansion of (neg x) in x 2.244 * [taylor]: Taking taylor expansion of x in x 2.244 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 2.244 * [taylor]: Taking taylor expansion of 2.0 in x 2.244 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (neg x))))) (sqrt 2.0)) in x 2.244 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (neg x))))) in x 2.244 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (neg x)))) in x 2.244 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (neg x))) in x 2.244 * [taylor]: Taking taylor expansion of (exp x) in x 2.244 * [taylor]: Taking taylor expansion of x in x 2.244 * [taylor]: Taking taylor expansion of (exp (neg x)) in x 2.244 * [taylor]: Taking taylor expansion of (neg x) in x 2.244 * [taylor]: Taking taylor expansion of x in x 2.245 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 2.245 * [taylor]: Taking taylor expansion of 2.0 in x 2.248 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))))) (sqrt 2.0)) in (x) around 0 2.248 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))))) (sqrt 2.0)) in x 2.248 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))))) in x 2.248 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (neg (/ 1 x))))) in x 2.248 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))) in x 2.248 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.248 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.249 * [taylor]: Taking taylor expansion of x in x 2.249 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 x))) in x 2.249 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 2.249 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.249 * [taylor]: Taking taylor expansion of x in x 2.249 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 2.249 * [taylor]: Taking taylor expansion of 2.0 in x 2.249 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))))) (sqrt 2.0)) in x 2.249 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))))) in x 2.249 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (neg (/ 1 x))))) in x 2.249 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))) in x 2.249 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.249 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.249 * [taylor]: Taking taylor expansion of x in x 2.249 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 x))) in x 2.249 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 2.249 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.249 * [taylor]: Taking taylor expansion of x in x 2.250 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 2.250 * [taylor]: Taking taylor expansion of 2.0 in x 2.254 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (sqrt 2.0)) in (x) around 0 2.254 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (sqrt 2.0)) in x 2.254 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 2.254 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 2.254 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 2.255 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.255 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.255 * [taylor]: Taking taylor expansion of x in x 2.255 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.255 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.255 * [taylor]: Taking taylor expansion of -1 in x 2.255 * [taylor]: Taking taylor expansion of x in x 2.255 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 2.255 * [taylor]: Taking taylor expansion of 2.0 in x 2.255 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (sqrt 2.0)) in x 2.255 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 2.255 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 2.255 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 2.255 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.255 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.255 * [taylor]: Taking taylor expansion of x in x 2.255 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.255 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.255 * [taylor]: Taking taylor expansion of -1 in x 2.255 * [taylor]: Taking taylor expansion of x in x 2.256 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 2.256 * [taylor]: Taking taylor expansion of 2.0 in x 2.260 * * * [progress]: simplifying candidates 2.264 * [simplify]: Simplifying using # : (log (cbrt (pow (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x))))) 3))) (exp (cbrt (pow (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x))))) 3))) (cbrt (pow (* (cbrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))) (cbrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x))))))) 3)) (cbrt (pow (cbrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))) 3)) (cbrt (pow (sqrt (/ (sqrt 2.0) 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4036 ) 2.463 * * [simplify]: iteration 2 : 2252 enodes (cost 3574 ) 2.747 * * [simplify]: iteration done : 5000 enodes (cost 3574 ) 2.749 * [simplify]: Simplified to: (log (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))) (exp (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))) (cbrt (/ 2.0 (+ (exp x) (exp (neg x))))) (cbrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))) (sqrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))) (sqrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))) (cbrt (/ 2.0 (+ (exp x) (exp (neg x))))) (cbrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))) (/ (cbrt 2.0) (fabs (cbrt (+ (exp x) (exp (neg x)))))) (/ (cbrt (sqrt 2.0)) (sqrt (cbrt (+ (exp x) (exp (neg x)))))) (/ (cbrt 2.0) (sqrt (sqrt (+ (exp x) (exp (neg x)))))) (/ (cbrt (sqrt 2.0)) (sqrt (sqrt (+ (exp x) (exp (neg x)))))) (cbrt 2.0) (/ (cbrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (neg x))))) (cbrt 2.0) (/ (cbrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (neg x))))) (/ (cbrt 2.0) (sqrt (sqrt (+ (exp x) (exp (neg x)))))) (/ 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(* (cbrt (sqrt (+ (exp x) (exp (neg x))))) (cbrt (sqrt (+ (exp x) (exp (neg x))))))) (/ (sqrt 2.0) (fabs (cbrt (+ (exp x) (exp (neg x)))))) (/ (sqrt 2.0) (sqrt (sqrt (+ (exp x) (exp (neg x)))))) (sqrt 2.0) (sqrt 2.0) (/ (sqrt 2.0) (sqrt (sqrt (+ (exp x) (exp (neg x)))))) (sqrt 2.0) (/ (sqrt (+ (exp x) (exp (neg x)))) (cbrt (sqrt 2.0))) (/ (sqrt (+ (exp x) (exp (neg x)))) (sqrt (cbrt 2.0))) (/ (sqrt (+ (exp x) (exp (neg x)))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (exp x) (exp (neg x)))) (sqrt 2.0)) (/ (sqrt (+ (exp x) (exp (neg x)))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (exp x) (exp (neg x)))) (sqrt 2.0)) (/ (sqrt 2.0) (sqrt (+ (pow (exp x) 3) (pow (exp (neg x)) 3)))) (/ (sqrt 2.0) (sqrt (- (exp (+ x x)) (exp (* x -2))))) (+ (* (sqrt 1/2) (sqrt 2.0)) (- (* 5/96 (/ (* (pow x 4) (sqrt 2.0)) (sqrt 1/2))) (+ (* 1/64 (/ (* (pow x 4) (sqrt 2.0)) (sqrt 1/2))) (* 1/8 (/ (* (pow x 2) (sqrt 2.0)) (sqrt 1/2)))))) (* (sqrt 2.0) (sqrt (/ 1 (+ (exp x) (exp (neg x)))))) (* (sqrt 2.0) (sqrt (/ 1 (+ (exp x) (exp (neg x)))))) (+ (* 1/2 (/ (pow x 2) (sqrt 2))) (- (+ (* 1/24 (/ (pow x 4) (sqrt 2))) (sqrt 2)) (* 1/16 (/ (pow x 4) (sqrt 2))))) (sqrt (+ (exp x) (exp (neg x)))) (sqrt (+ (exp x) (exp (neg x)))) (+ (* 1/2 (/ (pow x 2) (sqrt 2))) (- (+ (* 1/24 (/ (pow x 4) (sqrt 2))) (sqrt 2)) (* 1/16 (/ (pow x 4) (sqrt 2))))) (sqrt (+ (exp x) (exp (neg x)))) (sqrt (+ (exp x) (exp (neg x)))) (+ (* (sqrt 1/2) (sqrt 2.0)) (- (* 5/96 (/ (* (pow x 4) (sqrt 2.0)) (sqrt 1/2))) (+ (* 1/64 (/ (* (pow x 4) (sqrt 2.0)) (sqrt 1/2))) (* 1/8 (/ (* (pow x 2) (sqrt 2.0)) (sqrt 1/2)))))) (* (sqrt 2.0) (sqrt (/ 1 (+ (exp x) (exp (neg x)))))) (* (sqrt 2.0) (sqrt (/ 1 (+ (exp x) (exp (neg x)))))) 2.752 * * * [progress]: adding candidates to table 2.985 * * [progress]: iteration 4 / 4 2.985 * * * [progress]: picking best candidate 2.992 * * * * [pick]: Picked # 2.992 * * * [progress]: localizing error 3.005 * * * [progress]: generating rewritten candidates 3.005 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 3.017 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 3.023 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 3.028 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 3.049 * * * [progress]: generating series expansions 3.049 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 3.049 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (exp x) (exp (neg x))) (sqrt 2.0))) in (x) around 0 3.049 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (exp x) (exp (neg x))) (sqrt 2.0))) in x 3.049 * [taylor]: Taking taylor expansion of (/ (+ (exp x) (exp (neg x))) (sqrt 2.0)) in x 3.049 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (neg x))) in x 3.049 * [taylor]: Taking taylor expansion of (exp x) in x 3.049 * [taylor]: Taking taylor expansion of x in x 3.049 * [taylor]: Taking taylor expansion of (exp (neg x)) in x 3.049 * [taylor]: Taking taylor expansion of (neg x) in x 3.049 * [taylor]: Taking taylor expansion of x in x 3.049 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 3.049 * [taylor]: Taking taylor expansion of 2.0 in x 3.050 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (exp x) (exp (neg x))) (sqrt 2.0))) in x 3.050 * [taylor]: Taking taylor expansion of (/ (+ (exp x) (exp (neg x))) (sqrt 2.0)) in x 3.050 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (neg x))) in x 3.050 * [taylor]: Taking taylor expansion of (exp x) in x 3.050 * [taylor]: Taking taylor expansion of x in x 3.050 * [taylor]: Taking taylor expansion of (exp (neg x)) in x 3.050 * [taylor]: Taking taylor expansion of (neg x) in x 3.050 * [taylor]: Taking taylor expansion of x in x 3.050 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 3.050 * [taylor]: Taking taylor expansion of 2.0 in x 3.054 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))) (sqrt 2.0))) in (x) around 0 3.054 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))) (sqrt 2.0))) in x 3.054 * [taylor]: Taking taylor expansion of (/ (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))) (sqrt 2.0)) in x 3.054 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))) in x 3.054 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 3.054 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.054 * [taylor]: Taking taylor expansion of x in x 3.055 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 x))) in x 3.055 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 3.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.055 * [taylor]: Taking taylor expansion of x in x 3.055 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 3.055 * [taylor]: Taking taylor expansion of 2.0 in x 3.055 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))) (sqrt 2.0))) in x 3.055 * [taylor]: Taking taylor expansion of (/ (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))) (sqrt 2.0)) in x 3.055 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))) in x 3.055 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 3.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.055 * [taylor]: Taking taylor expansion of x in x 3.055 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 x))) in x 3.055 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 3.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.055 * [taylor]: Taking taylor expansion of x in x 3.055 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 3.056 * [taylor]: Taking taylor expansion of 2.0 in x 3.059 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (exp (/ 1 x)) (exp (/ -1 x))) (sqrt 2.0))) in (x) around 0 3.059 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (exp (/ 1 x)) (exp (/ -1 x))) (sqrt 2.0))) in x 3.059 * [taylor]: Taking taylor expansion of (/ (+ (exp (/ 1 x)) (exp (/ -1 x))) (sqrt 2.0)) in x 3.059 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 3.059 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 3.059 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.059 * [taylor]: Taking taylor expansion of x in x 3.059 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 3.059 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.059 * [taylor]: Taking taylor expansion of -1 in x 3.059 * [taylor]: Taking taylor expansion of x in x 3.059 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 3.059 * [taylor]: Taking taylor expansion of 2.0 in x 3.060 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (exp (/ 1 x)) (exp (/ -1 x))) (sqrt 2.0))) in x 3.060 * [taylor]: Taking taylor expansion of (/ (+ (exp (/ 1 x)) (exp (/ -1 x))) (sqrt 2.0)) in x 3.060 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 3.060 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 3.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.060 * [taylor]: Taking taylor expansion of x in x 3.060 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 3.060 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.060 * [taylor]: Taking taylor expansion of -1 in x 3.060 * [taylor]: Taking taylor expansion of x in x 3.060 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 3.060 * [taylor]: Taking taylor expansion of 2.0 in x 3.063 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 3.063 * [approximate]: Taking taylor expansion of (sqrt (+ (exp x) (exp (neg x)))) in (x) around 0 3.063 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) (exp (neg x)))) in x 3.063 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (neg x))) in x 3.063 * [taylor]: Taking taylor expansion of (exp x) in x 3.063 * [taylor]: Taking taylor expansion of x in x 3.063 * [taylor]: Taking taylor expansion of (exp (neg x)) in x 3.063 * [taylor]: Taking taylor expansion of (neg x) in x 3.063 * [taylor]: Taking taylor expansion of x in x 3.063 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) (exp (neg x)))) in x 3.063 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (neg x))) in x 3.063 * [taylor]: Taking taylor expansion of (exp x) in x 3.063 * [taylor]: Taking taylor expansion of x in x 3.063 * [taylor]: Taking taylor expansion of (exp (neg x)) in x 3.063 * [taylor]: Taking taylor expansion of (neg x) in x 3.063 * [taylor]: Taking taylor expansion of x in x 3.066 * [approximate]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (neg (/ 1 x))))) in (x) around 0 3.066 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (neg (/ 1 x))))) in x 3.066 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))) in x 3.066 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 3.066 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.066 * [taylor]: Taking taylor expansion of x in x 3.066 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 x))) in x 3.066 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 3.066 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.066 * [taylor]: Taking taylor expansion of x in x 3.067 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (neg (/ 1 x))))) in x 3.067 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))) in x 3.067 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 3.067 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.067 * [taylor]: Taking taylor expansion of x in x 3.067 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 x))) in x 3.067 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 3.067 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.067 * [taylor]: Taking taylor expansion of x in x 3.068 * [approximate]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 3.068 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 3.068 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 3.068 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 3.068 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.068 * [taylor]: Taking taylor expansion of x in x 3.068 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 3.068 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.068 * [taylor]: Taking taylor expansion of -1 in x 3.068 * [taylor]: Taking taylor expansion of x in x 3.069 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 3.069 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 3.069 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 3.069 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.069 * [taylor]: Taking taylor expansion of x in x 3.069 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 3.069 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.069 * [taylor]: Taking taylor expansion of -1 in x 3.069 * [taylor]: Taking taylor expansion of x in x 3.070 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 3.070 * [approximate]: Taking taylor expansion of (sqrt (+ (exp x) (exp (neg x)))) in (x) around 0 3.070 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) (exp (neg x)))) in x 3.070 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (neg x))) in x 3.070 * [taylor]: Taking taylor expansion of (exp x) in x 3.070 * [taylor]: Taking taylor expansion of x in x 3.070 * [taylor]: Taking taylor expansion of (exp (neg x)) in x 3.070 * [taylor]: Taking taylor expansion of (neg x) in x 3.070 * [taylor]: Taking taylor expansion of x in x 3.070 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) (exp (neg x)))) in x 3.070 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (neg x))) in x 3.071 * [taylor]: Taking taylor expansion of (exp x) in x 3.071 * [taylor]: Taking taylor expansion of x in x 3.071 * [taylor]: Taking taylor expansion of (exp (neg x)) in x 3.071 * [taylor]: Taking taylor expansion of (neg x) in x 3.071 * [taylor]: Taking taylor expansion of x in x 3.073 * [approximate]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (neg (/ 1 x))))) in (x) around 0 3.073 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (neg (/ 1 x))))) in x 3.073 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))) in x 3.073 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 3.073 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.073 * [taylor]: Taking taylor expansion of x in x 3.073 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 x))) in x 3.073 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 3.073 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.073 * [taylor]: Taking taylor expansion of x in x 3.074 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (neg (/ 1 x))))) in x 3.074 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))) in x 3.074 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 3.074 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.074 * [taylor]: Taking taylor expansion of x in x 3.074 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 x))) in x 3.074 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 3.074 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.074 * [taylor]: Taking taylor expansion of x in x 3.075 * [approximate]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 3.075 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 3.075 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 3.075 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 3.075 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.075 * [taylor]: Taking taylor expansion of x in x 3.075 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 3.076 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.076 * [taylor]: Taking taylor expansion of -1 in x 3.076 * [taylor]: Taking taylor expansion of x in x 3.076 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 3.076 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 3.076 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 3.076 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.076 * [taylor]: Taking taylor expansion of x in x 3.076 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 3.076 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.076 * [taylor]: Taking taylor expansion of -1 in x 3.076 * [taylor]: Taking taylor expansion of x in x 3.077 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 3.077 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (neg x))))) (sqrt 2.0)) in (x) around 0 3.077 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (neg x))))) (sqrt 2.0)) in x 3.077 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (neg x))))) in x 3.077 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (neg x)))) in x 3.077 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (neg x))) in x 3.078 * [taylor]: Taking taylor expansion of (exp x) in x 3.078 * [taylor]: Taking taylor expansion of x in x 3.078 * [taylor]: Taking taylor expansion of (exp (neg x)) in x 3.078 * [taylor]: Taking taylor expansion of (neg x) in x 3.078 * [taylor]: Taking taylor expansion of x in x 3.078 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 3.078 * [taylor]: Taking taylor expansion of 2.0 in x 3.078 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp x) (exp (neg x))))) (sqrt 2.0)) in x 3.078 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (neg x))))) in x 3.078 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (neg x)))) in x 3.078 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (neg x))) in x 3.078 * [taylor]: Taking taylor expansion of (exp x) in x 3.078 * [taylor]: Taking taylor expansion of x in x 3.078 * [taylor]: Taking taylor expansion of (exp (neg x)) in x 3.078 * [taylor]: Taking taylor expansion of (neg x) in x 3.078 * [taylor]: Taking taylor expansion of x in x 3.078 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 3.078 * [taylor]: Taking taylor expansion of 2.0 in x 3.082 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))))) (sqrt 2.0)) in (x) around 0 3.082 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))))) (sqrt 2.0)) in x 3.082 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))))) in x 3.082 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (neg (/ 1 x))))) in x 3.082 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))) in x 3.082 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 3.082 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.082 * [taylor]: Taking taylor expansion of x in x 3.082 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 x))) in x 3.082 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 3.082 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.083 * [taylor]: Taking taylor expansion of x in x 3.083 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 3.083 * [taylor]: Taking taylor expansion of 2.0 in x 3.083 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))))) (sqrt 2.0)) in x 3.083 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))))) in x 3.083 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (neg (/ 1 x))))) in x 3.084 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))) in x 3.084 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 3.084 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.084 * [taylor]: Taking taylor expansion of x in x 3.084 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 x))) in x 3.084 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 3.084 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.084 * [taylor]: Taking taylor expansion of x in x 3.084 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 3.084 * [taylor]: Taking taylor expansion of 2.0 in x 3.089 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (sqrt 2.0)) in (x) around 0 3.089 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (sqrt 2.0)) in x 3.089 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 3.089 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 3.089 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 3.089 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 3.089 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.089 * [taylor]: Taking taylor expansion of x in x 3.089 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 3.089 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.089 * [taylor]: Taking taylor expansion of -1 in x 3.089 * [taylor]: Taking taylor expansion of x in x 3.089 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 3.089 * [taylor]: Taking taylor expansion of 2.0 in x 3.089 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (sqrt 2.0)) in x 3.090 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 3.090 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 3.090 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 3.090 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 3.090 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.090 * [taylor]: Taking taylor expansion of x in x 3.090 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 3.090 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.090 * [taylor]: Taking taylor expansion of -1 in x 3.090 * [taylor]: Taking taylor expansion of x in x 3.090 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 3.090 * [taylor]: Taking taylor expansion of 2.0 in x 3.094 * * * [progress]: simplifying candidates 3.098 * [simplify]: Simplifying using # : (- (log (sqrt (+ (exp x) (exp (neg x))))) (log (sqrt (sqrt 2.0)))) (log (/ (sqrt (+ (exp x) (exp (neg x)))) (sqrt (sqrt 2.0)))) (exp (/ (sqrt (+ (exp x) (exp (neg x)))) (sqrt (sqrt 2.0)))) (/ (* (* (sqrt (+ (exp x) (exp (neg x)))) (sqrt (+ (exp x) (exp (neg x))))) (sqrt (+ (exp x) (exp (neg x))))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (cbrt (/ (sqrt (+ (exp x) (exp (neg x)))) (sqrt (sqrt 2.0)))) (cbrt (/ (sqrt (+ (exp x) (exp (neg x)))) (sqrt (sqrt 2.0))))) (cbrt (/ (sqrt (+ (exp x) (exp (neg x)))) (sqrt (sqrt 2.0)))) (* (* (/ (sqrt (+ (exp x) (exp (neg x)))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (exp x) (exp (neg x)))) (sqrt (sqrt 2.0)))) (/ (sqrt (+ (exp x) (exp (neg x)))) (sqrt (sqrt 2.0)))) (/ (+ (exp x) (exp (neg x))) (sqrt 2.0)) (sqrt (/ (sqrt (+ (exp x) 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(sqrt (+ (exp (* x -3)) (pow (exp x) 3)))) (/ (sqrt 2.0) (sqrt (- (exp (+ x x)) (exp (* x -2))))) (+ (* (sqrt (/ 1 (sqrt 2.0))) (+ (sqrt 2) (* 1/2 (/ (pow x 2) (sqrt 2))))) (* (sqrt (/ 1 (sqrt 2.0))) (* (/ (pow x 4) (sqrt 2)) -1/48))) (sqrt (/ (+ (exp x) (exp (neg x))) (sqrt 2.0))) (sqrt (/ (+ (exp x) (exp (neg x))) (sqrt 2.0))) (+ (* 1/2 (/ (pow x 2) (sqrt 2))) (+ (* (/ (pow x 4) (sqrt 2)) -1/48) (sqrt 2))) (sqrt (+ (exp (neg x)) (exp x))) (sqrt (+ (exp (neg x)) (exp x))) (+ (* 1/2 (/ (pow x 2) (sqrt 2))) (+ (* (/ (pow x 4) (sqrt 2)) -1/48) (sqrt 2))) (sqrt (+ (exp (neg x)) (exp x))) (sqrt (+ (exp (neg x)) (exp x))) (+ (+ (* (sqrt 1/2) (sqrt 2.0)) (* (/ (* (pow x 4) (sqrt 2.0)) (sqrt 1/2)) 7/192)) (* (/ (* (pow x 2) (sqrt 2.0)) (sqrt 1/2)) -1/8)) (* (sqrt (/ 1 (+ (exp x) (exp (neg x))))) (sqrt 2.0)) (* (sqrt (/ 1 (+ (exp x) (exp (neg x))))) (sqrt 2.0)) 3.997 * * * [progress]: adding candidates to table 4.314 * [progress]: [Phase 3 of 3] Extracting. 4.314 * * [regime]: Finding splitpoints for: (# # # #) 4.315 * * * [regime-changes]: Trying 3 branch expressions: ((+ (exp x) (exp (neg x))) (/ 2.0 (+ (exp x) (exp (neg x)))) x) 4.315 * * * * [regimes]: Trying to branch on (+ (exp x) (exp (neg x))) from (# # # #) 4.352 * * * * [regimes]: Trying to branch on (/ 2.0 (+ (exp x) (exp (neg x)))) from (# # # #) 4.390 * * * * [regimes]: Trying to branch on x from (# # # #) 4.424 * * * [regime]: Found split indices: #