25.462 * [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)))) 0.015 * * [simplify]: iteration 0 : 10 enodes (cost 5 ) 0.016 * * [simplify]: iteration 1 : 12 enodes (cost 5 ) 0.017 * * [simplify]: iteration 2 : 14 enodes (cost 5 ) 0.018 * * [simplify]: iteration 3 : 15 enodes (cost 5 ) 0.019 * * [simplify]: iteration 4 : 20 enodes (cost 5 ) 0.021 * * [simplify]: iteration 5 : 41 enodes (cost 5 ) 0.022 * * [simplify]: iteration 6 : 66 enodes (cost 5 ) 0.024 * * [simplify]: iteration 7 : 165 enodes (cost 5 ) 0.031 * * [simplify]: iteration 8 : 1123 enodes (cost 5 ) 0.228 * * [simplify]: iteration 9 : 5001 enodes (cost 5 ) 0.230 * [simplify]: Simplified to: (/ 2.0 (+ (exp x) (exp (- x)))) 0.230 * * [progress]: iteration 1 / 4 0.230 * * * [progress]: picking best candidate 0.232 * * * * [pick]: Picked # 0.232 * * * [progress]: localizing error 0.238 * * * [progress]: generating rewritten candidates 0.238 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.248 * * * [progress]: generating series expansions 0.248 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.248 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in (x) around 0 0.248 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 0.248 * [taylor]: Taking taylor expansion of 2.0 in x 0.248 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.248 * [taylor]: Taking taylor expansion of (exp x) in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.248 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.248 * [taylor]: Taking taylor expansion of (- x) in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.249 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 0.249 * [taylor]: Taking taylor expansion of 2.0 in x 0.249 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.249 * [taylor]: Taking taylor expansion of (exp x) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.250 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.250 * [taylor]: Taking taylor expansion of (- x) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.272 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 0.273 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.273 * [taylor]: Taking taylor expansion of 2.0 in x 0.273 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.273 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.273 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.273 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.274 * [taylor]: Taking taylor expansion of 2.0 in x 0.274 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.274 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.274 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.280 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 0.280 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.280 * [taylor]: Taking taylor expansion of 2.0 in x 0.280 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.280 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.280 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.280 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.280 * [taylor]: Taking taylor expansion of -1 in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.281 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.281 * [taylor]: Taking taylor expansion of 2.0 in x 0.281 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.281 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.281 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.281 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.281 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.281 * [taylor]: Taking taylor expansion of -1 in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.286 * * * [progress]: simplifying candidates 0.287 * [simplify]: Simplifying using # : (expm1 (/ 2.0 (+ (exp x) (exp (- x))))) (log1p (/ 2.0 (+ (exp x) (exp (- x))))) (- (log 2.0) (log (+ (exp x) (exp (- x))))) (log (/ 2.0 (+ (exp x) (exp (- x))))) (exp (/ 2.0 (+ (exp x) (exp (- x))))) (/ (* (* 2.0 2.0) 2.0) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x))))) (* (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (* (* (/ 2.0 (+ (exp x) (exp (- x)))) (/ 2.0 (+ (exp x) (exp (- x))))) (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (- 2.0) (- (+ (exp x) (exp (- x)))) (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (cbrt 2.0) (cbrt (+ (exp x) (exp (- x))))) (/ (* (cbrt 2.0) (cbrt 2.0)) (sqrt (+ (exp x) (exp (- x))))) (/ (cbrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ (* (cbrt 2.0) (cbrt 2.0)) 1) (/ (cbrt 2.0) (+ (exp x) (exp (- x)))) (/ (* (cbrt 2.0) (cbrt 2.0)) 1) (/ (cbrt 2.0) (+ (exp x) (exp (- x)))) (/ (sqrt 2.0) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2.0) (cbrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) 1) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) (/ (sqrt 2.0) 1) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) (/ 1 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ 2.0 (cbrt (+ (exp x) (exp (- x))))) (/ 1 (sqrt (+ (exp x) (exp (- x))))) (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (/ 1 1) (/ 2.0 (+ (exp x) (exp (- x)))) (/ 1 1) (/ 2.0 (+ (exp x) (exp (- x)))) (/ 1 (+ (exp x) (exp (- x)))) (/ (+ (exp x) (exp (- x))) 2.0) (/ 2.0 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (/ 2.0 1) (/ 2.0 1) (/ (+ (exp x) (exp (- x))) (cbrt 2.0)) (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (/ (+ (exp x) (exp (- x))) 2.0) (/ 2.0 (+ (pow (exp x) 3) (pow (exp (- x)) 3))) (/ 2.0 (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))) (- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2))) (/ 2.0 (+ (exp x) (exp (- x)))) (/ 2.0 (+ (exp (* -1 x)) (exp x))) 0.291 * * [simplify]: iteration 0 : 167 enodes (cost 323 ) 0.295 * * [simplify]: iteration 1 : 568 enodes (cost 300 ) 0.304 * * [simplify]: iteration 2 : 2220 enodes (cost 299 ) 0.359 * * [simplify]: iteration 3 : 5001 enodes (cost 299 ) 0.360 * [simplify]: Simplified to: (expm1 (/ 2.0 (+ (exp x) (exp (- x))))) (log1p (/ 2.0 (+ (exp x) (exp (- x))))) (log (/ 2.0 (+ (exp x) (exp (- x))))) (log (/ 2.0 (+ (exp x) (exp (- x))))) (exp (/ 2.0 (+ (exp x) (exp (- x))))) (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3) (* (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (- 2.0) (- (+ (exp x) (exp (- x)))) (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (cbrt 2.0) (cbrt (+ (exp x) (exp (- x))))) (/ (* (cbrt 2.0) (cbrt 2.0)) (sqrt (+ (exp x) (exp (- x))))) (/ (cbrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (* (cbrt 2.0) (cbrt 2.0)) (/ (cbrt 2.0) (+ (exp x) (exp (- x)))) (* (cbrt 2.0) (cbrt 2.0)) (/ (cbrt 2.0) (+ (exp x) (exp (- x)))) (/ (sqrt 2.0) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2.0) (cbrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) (/ 1 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ 2.0 (cbrt (+ (exp x) (exp (- x))))) (/ 1 (sqrt (+ (exp x) (exp (- x))))) (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) 1 (/ 2.0 (+ (exp (* -1 x)) (exp x))) 1 (/ 2.0 (+ (exp (* -1 x)) (exp x))) (/ 1 (+ (exp x) (exp (- x)))) (/ (+ (exp x) (exp (- x))) 2.0) (/ 2.0 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) 2.0 2.0 (/ (+ (exp x) (exp (- x))) (cbrt 2.0)) (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (/ (+ (exp x) (exp (- x))) 2.0) (/ 2.0 (+ (pow (exp x) 3) (pow (exp (- x)) 3))) (/ 2.0 (fma (- (exp (- x))) (exp (* -1 x)) (exp (+ x x)))) (fma (pow x 4) 0.20833333333333334 (- 1.0 (* 0.5 (pow x 2)))) (/ 2.0 (+ (exp (* -1 x)) (exp x))) (/ 2.0 (+ (exp (* -1 x)) (exp x))) 0.361 * * * [progress]: adding candidates to table 0.440 * * [progress]: iteration 2 / 4 0.440 * * * [progress]: picking best candidate 0.442 * * * * [pick]: Picked # 0.442 * * * [progress]: localizing error 0.451 * * * [progress]: generating rewritten candidates 0.451 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.459 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.464 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 0.469 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.513 * * * [progress]: generating series expansions 0.513 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.513 * [approximate]: Taking taylor expansion of (* 2.0 (sqrt (/ 1 (+ (exp x) (exp (- x)))))) in (x) around 0 0.513 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt (/ 1 (+ (exp x) (exp (- x)))))) in x 0.513 * [taylor]: Taking taylor expansion of 2.0 in x 0.513 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (- x))))) in x 0.513 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 0.513 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.513 * [taylor]: Taking taylor expansion of (exp x) in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.513 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.513 * [taylor]: Taking taylor expansion of (- x) in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.517 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt (/ 1 (+ (exp x) (exp (- x)))))) in x 0.517 * [taylor]: Taking taylor expansion of 2.0 in x 0.517 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (- x))))) in x 0.517 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 0.517 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.517 * [taylor]: Taking taylor expansion of (exp x) in x 0.517 * [taylor]: Taking taylor expansion of x in x 0.517 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.517 * [taylor]: Taking taylor expansion of (- x) in x 0.517 * [taylor]: Taking taylor expansion of x in x 0.564 * [approximate]: Taking taylor expansion of (* 2.0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in (x) around 0 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 0.565 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.565 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.565 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.566 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 0.566 * [taylor]: Taking taylor expansion of 2.0 in x 0.566 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 0.566 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.566 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.566 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.566 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.566 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.566 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.566 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.585 * [approximate]: Taking taylor expansion of (* 2.0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in (x) around 0 0.585 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 0.585 * [taylor]: Taking taylor expansion of 2.0 in x 0.585 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 0.585 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.585 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.585 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.585 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.585 * [taylor]: Taking taylor expansion of x in x 0.585 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.585 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.585 * [taylor]: Taking taylor expansion of -1 in x 0.585 * [taylor]: Taking taylor expansion of x in x 0.586 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 0.586 * [taylor]: Taking taylor expansion of 2.0 in x 0.586 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 0.586 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.586 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.586 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.586 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.586 * [taylor]: Taking taylor expansion of x in x 0.587 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.587 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.587 * [taylor]: Taking taylor expansion of -1 in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.600 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.600 * [approximate]: Taking taylor expansion of (sqrt (+ (exp x) (exp (- x)))) in (x) around 0 0.600 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) (exp (- x)))) in x 0.600 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.600 * [taylor]: Taking taylor expansion of (exp x) in x 0.600 * [taylor]: Taking taylor expansion of x in x 0.600 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.600 * [taylor]: Taking taylor expansion of (- x) in x 0.600 * [taylor]: Taking taylor expansion of x in x 0.603 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) (exp (- x)))) in x 0.603 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.603 * [taylor]: Taking taylor expansion of (exp x) in x 0.603 * [taylor]: Taking taylor expansion of x in x 0.603 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.603 * [taylor]: Taking taylor expansion of (- x) in x 0.603 * [taylor]: Taking taylor expansion of x in x 0.633 * [approximate]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 0.633 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.633 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.633 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.633 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.633 * [taylor]: Taking taylor expansion of x in x 0.633 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.633 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.633 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.633 * [taylor]: Taking taylor expansion of x in x 0.634 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.634 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.634 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.634 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.634 * [taylor]: Taking taylor expansion of x in x 0.635 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.635 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.635 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.635 * [taylor]: Taking taylor expansion of x in x 0.640 * [approximate]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 0.640 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.640 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.640 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.640 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.640 * [taylor]: Taking taylor expansion of x in x 0.641 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.641 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.641 * [taylor]: Taking taylor expansion of -1 in x 0.641 * [taylor]: Taking taylor expansion of x in x 0.641 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.641 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.641 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.641 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.642 * [taylor]: Taking taylor expansion of x in x 0.642 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.642 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.642 * [taylor]: Taking taylor expansion of -1 in x 0.642 * [taylor]: Taking taylor expansion of x in x 0.647 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 0.647 * [approximate]: Taking taylor expansion of (sqrt (+ (exp x) (exp (- x)))) in (x) around 0 0.647 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) (exp (- x)))) in x 0.647 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.647 * [taylor]: Taking taylor expansion of (exp x) in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.647 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.647 * [taylor]: Taking taylor expansion of (- x) in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.650 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) (exp (- x)))) in x 0.650 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.650 * [taylor]: Taking taylor expansion of (exp x) in x 0.650 * [taylor]: Taking taylor expansion of x in x 0.650 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.650 * [taylor]: Taking taylor expansion of (- x) in x 0.650 * [taylor]: Taking taylor expansion of x in x 0.683 * [approximate]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 0.684 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.684 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.684 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.684 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.684 * [taylor]: Taking taylor expansion of x in x 0.684 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.684 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.684 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.684 * [taylor]: Taking taylor expansion of x in x 0.685 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.685 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.685 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.685 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.685 * [taylor]: Taking taylor expansion of x in x 0.686 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.686 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.686 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.686 * [taylor]: Taking taylor expansion of x in x 0.691 * [approximate]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 0.691 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.691 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.691 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.691 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.691 * [taylor]: Taking taylor expansion of x in x 0.691 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.691 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.691 * [taylor]: Taking taylor expansion of -1 in x 0.691 * [taylor]: Taking taylor expansion of x in x 0.692 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.692 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.692 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.692 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.692 * [taylor]: Taking taylor expansion of x in x 0.692 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.692 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.692 * [taylor]: Taking taylor expansion of -1 in x 0.692 * [taylor]: Taking taylor expansion of x in x 0.697 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.698 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in (x) around 0 0.698 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 0.698 * [taylor]: Taking taylor expansion of 2.0 in x 0.698 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.698 * [taylor]: Taking taylor expansion of (exp x) in x 0.698 * [taylor]: Taking taylor expansion of x in x 0.698 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.698 * [taylor]: Taking taylor expansion of (- x) in x 0.698 * [taylor]: Taking taylor expansion of x in x 0.699 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 0.699 * [taylor]: Taking taylor expansion of 2.0 in x 0.699 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.699 * [taylor]: Taking taylor expansion of (exp x) in x 0.699 * [taylor]: Taking taylor expansion of x in x 0.699 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.699 * [taylor]: Taking taylor expansion of (- x) in x 0.699 * [taylor]: Taking taylor expansion of x in x 0.721 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 0.722 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.722 * [taylor]: Taking taylor expansion of 2.0 in x 0.722 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.722 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.722 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.722 * [taylor]: Taking taylor expansion of x in x 0.722 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.722 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.722 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.722 * [taylor]: Taking taylor expansion of x in x 0.723 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.723 * [taylor]: Taking taylor expansion of 2.0 in x 0.723 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.723 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.723 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.723 * [taylor]: Taking taylor expansion of x in x 0.723 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.723 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.723 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.723 * [taylor]: Taking taylor expansion of x in x 0.729 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 0.729 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.729 * [taylor]: Taking taylor expansion of 2.0 in x 0.729 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.729 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.729 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.729 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.729 * [taylor]: Taking taylor expansion of -1 in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.730 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.730 * [taylor]: Taking taylor expansion of 2.0 in x 0.730 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.730 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.730 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.730 * [taylor]: Taking taylor expansion of x in x 0.730 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.730 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.730 * [taylor]: Taking taylor expansion of -1 in x 0.730 * [taylor]: Taking taylor expansion of x in x 0.735 * * * [progress]: simplifying candidates 0.745 * [simplify]: Simplifying using # : (expm1 (/ 2.0 (sqrt (+ (exp x) (exp (- x)))))) (log1p (/ 2.0 (sqrt (+ (exp x) (exp (- x)))))) (- (log 2.0) (log (sqrt (+ (exp x) (exp (- x)))))) (log (/ 2.0 (sqrt (+ (exp x) (exp (- x)))))) (exp (/ 2.0 (sqrt (+ (exp x) (exp (- x)))))) (/ (* (* 2.0 2.0) 2.0) (* (* (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))) (* (cbrt (/ 2.0 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 2.0 (sqrt (+ (exp x) (exp (- x))))))) 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(sqrt (sqrt (+ (exp x) (exp (- x))))))) (/ (sqrt (+ (exp x) (exp (- x)))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt (+ (exp x) (exp (- x)))) (/ 2.0 (cbrt (sqrt (+ (exp x) (exp (- x))))))) (/ (sqrt (+ (exp x) (exp (- x)))) (/ 2.0 (sqrt (cbrt (+ (exp x) (exp (- x))))))) (/ (sqrt (+ (exp x) (exp (- x)))) (/ 2.0 (sqrt (sqrt (+ (exp x) (exp (- x))))))) (/ (+ (exp x) (exp (- x))) 2.0) (/ (+ (exp x) (exp (- x))) 2.0) (/ (sqrt (+ (exp x) (exp (- x)))) (/ 2.0 (sqrt (sqrt (+ (exp x) (exp (- x))))))) (/ (+ (exp x) (exp (- x))) 2.0) (/ (+ (exp x) (exp (- x))) 2.0) (+ (exp x) (exp (- x))) (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))))) (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt (- (exp x) (exp (- x))))) (/ (/ 2.0 (hypot (pow (exp (- x)) 3/2) (pow (exp x) 3/2))) (sqrt (+ (exp (* -1 x)) (exp x)))) (/ (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (+ (exp x) (exp (- x))) (fma 0.10416666666666667 (/ (pow x 4) (sqrt 1/2)) (- (* 2.0 (sqrt 1/2)) (fma 0.25 (/ (pow x 2) (sqrt 1/2)) (* 0.015625 (/ (pow x 4) (pow (sqrt 1/2) 3)))))) (* 2.0 (sqrt (/ 1 (+ (exp (* -1 x)) (exp x))))) (* 2.0 (sqrt (/ 1 (+ (exp (* -1 x)) (exp x))))) (fma 1/24 (/ (pow x 4) (sqrt 2)) (- (fma 1/2 (/ (pow x 2) (sqrt 2)) (sqrt 2)) (* 1/8 (/ (pow x 4) (pow (sqrt 2) 3))))) (sqrt (+ (exp (* -1 x)) (exp x))) (sqrt (+ (exp (* -1 x)) (exp x))) (fma 1/24 (/ (pow x 4) (sqrt 2)) (- (fma 1/2 (/ (pow x 2) (sqrt 2)) (sqrt 2)) (* 1/8 (/ (pow x 4) (pow (sqrt 2) 3))))) (sqrt (+ (exp (* -1 x)) (exp x))) (sqrt (+ (exp (* -1 x)) (exp x))) (fma (pow x 4) 0.20833333333333334 (- 1.0 (* 0.5 (pow x 2)))) (/ 2.0 (+ (exp x) (exp (- x)))) (/ 2.0 (+ (exp x) (exp (- x)))) 0.826 * * * [progress]: adding candidates to table 1.340 * [progress]: [Phase 3 of 3] Extracting. 1.340 * * [regime]: Finding splitpoints for: (# #) 1.340 * * * [regime-changes]: Trying 3 branch expressions: ((+ (exp x) (exp (- x))) (/ 2.0 (+ (exp x) (exp (- x)))) x) 1.340 * * * * [regimes]: Trying to branch on (+ (exp x) (exp (- x))) from (# #) 1.354 * * * * [regimes]: Trying to branch on (/ 2.0 (+ (exp x) (exp (- x)))) from (# #) 1.370 * * * * [regimes]: Trying to branch on x from (# #) 1.381 * * * [regime]: Found split indices: #