6.640 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.011 * * * [progress]: [2/2] Setting up program. 0.013 * [progress]: [Phase 2 of 3] Improving. 0.013 * [simplify]: Simplifying using # : (/ 2.0 (+ (exp x) (exp (- x)))) 0.016 * * [simplify]: iteration 0 : 10 enodes (cost 5 ) 0.017 * * [simplify]: iteration 1 : 12 enodes (cost 5 ) 0.018 * * [simplify]: iteration 2 : 14 enodes (cost 5 ) 0.020 * * [simplify]: iteration 3 : 15 enodes (cost 5 ) 0.021 * * [simplify]: iteration 4 : 20 enodes (cost 5 ) 0.022 * * [simplify]: iteration 5 : 41 enodes (cost 5 ) 0.024 * * [simplify]: iteration 6 : 66 enodes (cost 5 ) 0.026 * * [simplify]: iteration 7 : 165 enodes (cost 5 ) 0.033 * * [simplify]: iteration 8 : 1123 enodes (cost 5 ) 0.227 * * [simplify]: iteration 9 : 5001 enodes (cost 5 ) 0.228 * [simplify]: Simplified to: (/ 2.0 (+ (exp x) (exp (- x)))) 0.229 * * [progress]: iteration 1 / 4 0.229 * * * [progress]: picking best candidate 0.230 * * * * [pick]: Picked # 0.230 * * * [progress]: localizing error 0.239 * * * [progress]: generating rewritten candidates 0.240 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.262 * * * [progress]: generating series expansions 0.262 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.262 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in (x) around 0 0.262 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 0.262 * [taylor]: Taking taylor expansion of 2.0 in x 0.262 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.262 * [taylor]: Taking taylor expansion of (exp x) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.262 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.262 * [taylor]: Taking taylor expansion of (- x) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.263 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 0.263 * [taylor]: Taking taylor expansion of 2.0 in x 0.263 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.263 * [taylor]: Taking taylor expansion of (exp x) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.263 * [taylor]: Taking taylor expansion of (- x) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.285 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 0.285 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.285 * [taylor]: Taking taylor expansion of 2.0 in x 0.285 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.285 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.285 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.285 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.285 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.285 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.286 * [taylor]: Taking taylor expansion of 2.0 in x 0.286 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.286 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.286 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.291 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 0.291 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.291 * [taylor]: Taking taylor expansion of 2.0 in x 0.291 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.291 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.291 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.292 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.292 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.292 * [taylor]: Taking taylor expansion of -1 in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.292 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.292 * [taylor]: Taking taylor expansion of 2.0 in x 0.292 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.292 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.292 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.293 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.293 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.293 * [taylor]: Taking taylor expansion of -1 in x 0.293 * [taylor]: Taking taylor expansion of x in x 0.297 * * * [progress]: simplifying candidates 0.298 * [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))) 0.301 * * [simplify]: iteration 0 : 167 enodes (cost 323 ) 0.304 * * [simplify]: iteration 1 : 568 enodes (cost 300 ) 0.314 * * [simplify]: iteration 2 : 2220 enodes (cost 299 ) 0.366 * * [simplify]: iteration 3 : 5001 enodes (cost 299 ) 0.367 * [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))) 0.367 * * * [progress]: adding candidates to table 0.447 * * [progress]: iteration 2 / 4 0.447 * * * [progress]: picking best candidate 0.450 * * * * [pick]: Picked # 0.450 * * * [progress]: localizing error 0.458 * * * [progress]: generating rewritten candidates 0.458 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.518 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.546 * * * [progress]: generating series expansions 0.546 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.547 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (+ (exp x) (exp (- x)))) in (x) around 0 0.547 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (+ (exp x) (exp (- x)))) in x 0.547 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 0.547 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.547 * [taylor]: Taking taylor expansion of 2.0 in x 0.548 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.548 * [taylor]: Taking taylor expansion of (exp x) in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.548 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.548 * [taylor]: Taking taylor expansion of (- x) in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.550 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (+ (exp x) (exp (- x)))) in x 0.550 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 0.550 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.550 * [taylor]: Taking taylor expansion of 2.0 in x 0.551 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.551 * [taylor]: Taking taylor expansion of (exp x) in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.551 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.551 * [taylor]: Taking taylor expansion of (- x) in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.589 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 0.589 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.589 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 0.589 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.589 * [taylor]: Taking taylor expansion of 2.0 in x 0.589 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.589 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.589 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.589 * [taylor]: Taking taylor expansion of x in x 0.590 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.590 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.590 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.590 * [taylor]: Taking taylor expansion of x in x 0.592 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.592 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 0.592 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.592 * [taylor]: Taking taylor expansion of 2.0 in x 0.592 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.592 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.592 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.592 * [taylor]: Taking taylor expansion of x in x 0.593 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.593 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.593 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.593 * [taylor]: Taking taylor expansion of x in x 0.610 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 0.610 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.610 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 0.610 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.610 * [taylor]: Taking taylor expansion of 2.0 in x 0.611 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.611 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.611 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.611 * [taylor]: Taking taylor expansion of x in x 0.611 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.611 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.611 * [taylor]: Taking taylor expansion of -1 in x 0.611 * [taylor]: Taking taylor expansion of x in x 0.618 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.618 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 0.618 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.618 * [taylor]: Taking taylor expansion of 2.0 in x 0.619 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.619 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.619 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.619 * [taylor]: Taking taylor expansion of x in x 0.619 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.619 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.619 * [taylor]: Taking taylor expansion of -1 in x 0.619 * [taylor]: Taking taylor expansion of x in x 0.636 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.637 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) in (x) around 0 0.637 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) in x 0.637 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.637 * [taylor]: Taking taylor expansion of 2.0 in x 0.637 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.637 * [taylor]: Taking taylor expansion of (exp x) in x 0.637 * [taylor]: Taking taylor expansion of x in x 0.637 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.637 * [taylor]: Taking taylor expansion of (- x) in x 0.637 * [taylor]: Taking taylor expansion of x in x 0.639 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) in x 0.639 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.639 * [taylor]: Taking taylor expansion of 2.0 in x 0.639 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.639 * [taylor]: Taking taylor expansion of (exp x) in x 0.639 * [taylor]: Taking taylor expansion of x in x 0.639 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.639 * [taylor]: Taking taylor expansion of (- x) in x 0.639 * [taylor]: Taking taylor expansion of x in x 0.670 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 0.670 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.670 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.670 * [taylor]: Taking taylor expansion of 2.0 in x 0.671 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.671 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.671 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.671 * [taylor]: Taking taylor expansion of x in x 0.671 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.671 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.671 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.671 * [taylor]: Taking taylor expansion of x in x 0.672 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.672 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.672 * [taylor]: Taking taylor expansion of 2.0 in x 0.672 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.673 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.673 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.673 * [taylor]: Taking taylor expansion of x in x 0.673 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.673 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.673 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.673 * [taylor]: Taking taylor expansion of x in x 0.683 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 0.683 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.683 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.683 * [taylor]: Taking taylor expansion of 2.0 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 in x 0.684 * [taylor]: Taking taylor expansion of x in x 0.685 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.685 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.685 * [taylor]: Taking taylor expansion of 2.0 in x 0.686 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 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 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 in x 0.686 * [taylor]: Taking taylor expansion of x in x 0.696 * * * [progress]: simplifying candidates 0.702 * [simplify]: Simplifying using # : (expm1 (* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))) (log1p (* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))) (* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (+ (log (sqrt 2.0)) (- (log (sqrt 2.0)) (log (+ (exp x) (exp (- x)))))) (+ (log (sqrt 2.0)) (log (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))) (log (* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))) (exp (* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))) (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (/ (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))) (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))) (* (cbrt (* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))) (cbrt (* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x))))))) (cbrt (* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))) (* (* (* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))) (* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))) (sqrt (* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))) (sqrt (* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))) (* (sqrt (sqrt 2.0)) (sqrt (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))) (* (sqrt (sqrt 2.0)) (sqrt (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (- x)))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (- x)))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (- x)))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (- x)))))) (* (sqrt (sqrt 2.0)) (sqrt (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))) (* (sqrt (sqrt 2.0)) (sqrt (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (- x)))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (- x)))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (- x)))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (- x)))))) (* (sqrt 2.0) (* (cbrt (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (cbrt (/ (sqrt 2.0) (+ (exp x) (exp (- x))))))) (* (sqrt 2.0) (sqrt (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))) (* (sqrt 2.0) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (* (sqrt 2.0) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (+ (exp x) (exp (- x)))))) (* (sqrt 2.0) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1)) (* (sqrt 2.0) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1)) (* (sqrt 2.0) (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (* (sqrt 2.0) (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (+ (exp x) (exp (- x)))))) (* (sqrt 2.0) (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1)) (* (sqrt 2.0) (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1)) (* (sqrt 2.0) (/ (sqrt (sqrt 2.0)) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (* (sqrt 2.0) (/ (sqrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (- x)))))) (* (sqrt 2.0) (/ (sqrt (sqrt 2.0)) 1)) (* (sqrt 2.0) (/ (sqrt (sqrt 2.0)) 1)) (* (sqrt 2.0) (/ (sqrt 1) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (* (sqrt 2.0) (/ (sqrt 1) (sqrt (+ (exp x) (exp (- x)))))) (* (sqrt 2.0) (/ (sqrt 1) 1)) (* (sqrt 2.0) (/ (sqrt 1) 1)) (* (sqrt 2.0) (/ (sqrt (sqrt 2.0)) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (* (sqrt 2.0) (/ (sqrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (- x)))))) (* (sqrt 2.0) (/ (sqrt (sqrt 2.0)) 1)) (* (sqrt 2.0) (/ (sqrt (sqrt 2.0)) 1)) (* (sqrt 2.0) (/ 1 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (* (sqrt 2.0) (/ 1 (sqrt (+ (exp x) (exp (- x)))))) (* (sqrt 2.0) (/ 1 1)) (* (sqrt 2.0) (/ 1 1)) (* (sqrt 2.0) 1) (* (sqrt 2.0) (sqrt 2.0)) (* (sqrt 2.0) (/ (sqrt 2.0) (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (* (sqrt 2.0) (/ (sqrt 2.0) (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (* (cbrt (sqrt 2.0)) (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (* (sqrt (cbrt 2.0)) (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (* (sqrt (sqrt 2.0)) (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (* (sqrt (sqrt 2.0)) (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (* (sqrt 2.0) (sqrt 2.0)) (expm1 (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (log1p (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (- (log (sqrt 2.0)) (log (+ (exp x) (exp (- x))))) (log (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (exp (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (/ (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x))))) (* (cbrt (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (cbrt (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))) (cbrt (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (* (* (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (sqrt (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (sqrt (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (- (sqrt 2.0)) (- (+ (exp x) (exp (- x)))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (cbrt (sqrt 2.0)) (cbrt (+ (exp x) (exp (- x))))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (+ (exp x) (exp (- x))))) (/ (cbrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (- x))))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (/ (cbrt (sqrt 2.0)) (+ (exp x) (exp (- x)))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (/ (cbrt (sqrt 2.0)) (+ (exp x) (exp (- x)))) (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt (cbrt 2.0)) (cbrt (+ (exp x) (exp (- x))))) (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt (cbrt 2.0)) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1) (/ (sqrt (cbrt 2.0)) (+ (exp x) (exp (- x)))) (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1) (/ (sqrt (cbrt 2.0)) (+ (exp x) (exp (- x)))) (/ (sqrt (sqrt 2.0)) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt (sqrt 2.0)) (cbrt (+ (exp x) (exp (- x))))) (/ (sqrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt (sqrt 2.0)) 1) (/ (sqrt (sqrt 2.0)) (+ (exp x) (exp (- x)))) (/ (sqrt (sqrt 2.0)) 1) (/ (sqrt (sqrt 2.0)) (+ (exp x) (exp (- x)))) (/ (sqrt 1) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2.0) (cbrt (+ (exp x) (exp (- x))))) (/ (sqrt 1) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 1) 1) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) (/ (sqrt 1) 1) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) (/ (sqrt (sqrt 2.0)) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt (sqrt 2.0)) (cbrt (+ (exp x) (exp (- x))))) (/ (sqrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt (sqrt 2.0)) 1) (/ (sqrt (sqrt 2.0)) (+ (exp x) (exp (- x)))) (/ (sqrt (sqrt 2.0)) 1) (/ (sqrt (sqrt 2.0)) (+ (exp x) (exp (- x)))) (/ 1 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2.0) (cbrt (+ (exp x) (exp (- x))))) (/ 1 (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ 1 1) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) (/ 1 1) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) (/ 1 (+ (exp x) (exp (- x)))) (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (/ (sqrt 2.0) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) 1) (/ (sqrt 2.0) 1) (/ (+ (exp x) (exp (- x))) (cbrt (sqrt 2.0))) (/ (+ (exp x) (exp (- x))) (sqrt (cbrt 2.0))) (/ (+ (exp x) (exp (- x))) (sqrt (sqrt 2.0))) (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (/ (+ (exp x) (exp (- x))) (sqrt (sqrt 2.0))) (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (/ (sqrt 2.0) (+ (pow (exp x) 3) (pow (exp (- x)) 3))) (/ (sqrt 2.0) (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))) (- (+ (* 1/2 (pow (sqrt 2.0) 2)) (* 5/48 (* (pow (sqrt 2.0) 2) (pow x 4)))) (* 1/4 (* (pow (sqrt 2.0) 2) (pow x 2)))) (/ (pow (sqrt 2.0) 2) (+ (exp x) (exp (- x)))) (/ (pow (sqrt 2.0) 2) (+ (exp (* -1 x)) (exp x))) (- (+ (* 5/48 (* (sqrt 2.0) (pow x 4))) (* 1/2 (sqrt 2.0))) (* 1/4 (* (sqrt 2.0) (pow x 2)))) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) (/ (sqrt 2.0) (+ (exp (* -1 x)) (exp x))) 0.709 * * [simplify]: iteration 0 : 344 enodes (cost 1183 ) 0.715 * * [simplify]: iteration 1 : 1564 enodes (cost 1074 ) 0.744 * * [simplify]: iteration 2 : 5002 enodes (cost 1045 ) 0.748 * [simplify]: Simplified to: (expm1 (* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))) (log1p (* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))) (/ 2.0 (/ (+ (exp (* -1 x)) (exp x)) 1)) (- (log 2.0) (log (+ (exp (* -1 x)) (exp x)))) (- (log 2.0) (log (+ (exp (* -1 x)) (exp x)))) (- (log 2.0) (log (+ (exp (* -1 x)) (exp x)))) (exp (* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))) (pow (/ (pow (sqrt 2.0) 2) (+ (exp x) (exp (- x)))) 3) (pow (/ (pow (sqrt 2.0) 2) (+ (exp x) (exp (- x)))) 3) (* (cbrt (* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))) (cbrt (* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x))))))) (cbrt (* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))) (pow (/ (pow (sqrt 2.0) 2) (+ (exp x) (exp (- x)))) 3) (sqrt (* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))) (sqrt (* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))) (* (sqrt (sqrt 2.0)) (sqrt (/ (sqrt 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(cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt 2.0)) (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt 2.0)) (/ (* (sqrt 2.0) (fabs (cbrt 2.0))) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (* (sqrt 2.0) (fabs (cbrt 2.0))) (sqrt (+ (exp x) (exp (- x))))) (* (fabs (cbrt 2.0)) (sqrt 2.0)) (* (fabs (cbrt 2.0)) (sqrt 2.0)) (/ (pow (sqrt (sqrt 2.0)) 3) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (pow (sqrt (sqrt 2.0)) 3) (sqrt (+ (exp x) (exp (- x))))) (pow (sqrt (sqrt 2.0)) 3) (pow (sqrt (sqrt 2.0)) 3) (/ (sqrt 2.0) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (sqrt 2.0) (sqrt 2.0) (/ (pow (sqrt (sqrt 2.0)) 3) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (pow (sqrt (sqrt 2.0)) 3) (sqrt (+ (exp x) (exp (- x))))) (pow (sqrt (sqrt 2.0)) 3) (pow (sqrt (sqrt 2.0)) 3) (/ (sqrt 2.0) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (sqrt 2.0) (sqrt 2.0) (sqrt 2.0) 2.0 (/ 2.0 (+ (pow (exp x) 3) (pow (exp (- x)) 3))) (/ 2.0 (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))) (* (cbrt (sqrt 2.0)) (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (* (sqrt (cbrt 2.0)) (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (/ (pow (sqrt (sqrt 2.0)) 3) (+ (exp (* -1 x)) (exp x))) (/ 2.0 (/ (+ (exp (* -1 x)) (exp x)) 1)) (/ (pow (sqrt (sqrt 2.0)) 3) (+ (exp (* -1 x)) (exp x))) (/ 2.0 (/ (+ (exp (* -1 x)) (exp x)) 1)) 2.0 (expm1 (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (log1p (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (log (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (log (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (exp (/ (sqrt 2.0) (+ (exp (* -1 x)) (exp x)))) (pow (/ (sqrt 2.0) (+ (exp (* -1 x)) (exp x))) 3) (* (cbrt (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (cbrt (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))) (cbrt (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (pow (/ (sqrt 2.0) (+ (exp (* -1 x)) (exp x))) 3) (sqrt (/ (sqrt 2.0) (+ 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(exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt (sqrt 2.0)) (cbrt (+ (exp x) (exp (- x))))) (/ (sqrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt 2.0)) (/ (sqrt (sqrt 2.0)) (+ (exp x) (exp (- x)))) (sqrt (sqrt 2.0)) (/ (sqrt (sqrt 2.0)) (+ (exp x) (exp (- x)))) (/ 1 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2.0) (cbrt (+ (exp x) (exp (- x))))) (/ 1 (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) 1 (/ (sqrt 2.0) (+ (exp (* -1 x)) (exp x))) 1 (/ (sqrt 2.0) (+ (exp (* -1 x)) (exp x))) (/ (sqrt (sqrt 2.0)) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt (sqrt 2.0)) (cbrt (+ (exp x) (exp (- x))))) (/ (sqrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt 2.0)) (/ (sqrt (sqrt 2.0)) (+ (exp x) (exp (- x)))) (sqrt (sqrt 2.0)) (/ (sqrt (sqrt 2.0)) (+ (exp x) (exp (- x)))) (/ 1 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2.0) (cbrt (+ (exp x) (exp (- x))))) (/ 1 (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) 1 (/ (sqrt 2.0) (+ (exp (* -1 x)) (exp x))) 1 (/ (sqrt 2.0) (+ (exp (* -1 x)) (exp x))) (/ 1 (+ (exp x) (exp (- x)))) (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (/ (sqrt 2.0) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (sqrt 2.0) (sqrt 2.0) (/ (+ (exp x) (exp (- x))) (cbrt (sqrt 2.0))) (/ (+ (exp x) (exp (- x))) (sqrt (cbrt 2.0))) (/ (+ (exp x) (exp (- x))) (sqrt (sqrt 2.0))) (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (/ (+ (exp x) (exp (- x))) (sqrt (sqrt 2.0))) (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (/ (sqrt 2.0) (+ (pow (exp x) 3) (pow (exp (- x)) 3))) (/ (sqrt 2.0) (fma (- (exp (- x))) (exp (* -1 x)) (exp (+ x x)))) (fma 2.0 1/2 (fma (* 5/48 2.0) (pow x 4) (- (* (* 1/4 2.0) (pow x 2))))) (/ 2.0 (/ (+ (exp (* -1 x)) (exp x)) 1)) (/ 2.0 (/ (+ (exp (* -1 x)) (exp x)) 1)) (fma (* 5/48 (sqrt 2.0)) (pow x 4) (- (* 1/2 (sqrt 2.0)) (* 1/4 (* (sqrt 2.0) (pow x 2))))) (/ (sqrt 2.0) (+ (exp (* -1 x)) (exp x))) (/ (sqrt 2.0) (+ (exp (* -1 x)) (exp x))) 0.749 * * * [progress]: adding candidates to table 0.960 * * [progress]: iteration 3 / 4 0.960 * * * [progress]: picking best candidate 0.962 * * * * [pick]: Picked # 0.962 * * * [progress]: localizing error 0.972 * * * [progress]: generating rewritten candidates 0.972 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 1.043 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.319 * * * [progress]: generating series expansions 1.319 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 1.320 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) in (x) around 0 1.320 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) in x 1.320 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.320 * [taylor]: Taking taylor expansion of 2.0 in x 1.321 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.321 * [taylor]: Taking taylor expansion of (exp x) in x 1.321 * [taylor]: Taking taylor expansion of x in x 1.321 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.321 * [taylor]: Taking taylor expansion of (- x) in x 1.321 * [taylor]: Taking taylor expansion of x in x 1.322 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) in x 1.322 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.322 * [taylor]: Taking taylor expansion of 2.0 in x 1.323 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.323 * [taylor]: Taking taylor expansion of (exp x) in x 1.323 * [taylor]: Taking taylor expansion of x in x 1.323 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.323 * [taylor]: Taking taylor expansion of (- x) in x 1.323 * [taylor]: Taking taylor expansion of x in x 1.353 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 1.353 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.353 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.353 * [taylor]: Taking taylor expansion of 2.0 in x 1.353 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.353 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.353 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.353 * [taylor]: Taking taylor expansion of x in x 1.354 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.354 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.354 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.354 * [taylor]: Taking taylor expansion of x in x 1.354 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.354 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.354 * [taylor]: Taking taylor expansion of 2.0 in x 1.355 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.355 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.355 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.355 * [taylor]: Taking taylor expansion of x in x 1.355 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.355 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.355 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.355 * [taylor]: Taking taylor expansion of x in x 1.366 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 1.366 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.366 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.366 * [taylor]: Taking taylor expansion of 2.0 in x 1.367 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.367 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.367 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.367 * [taylor]: Taking taylor expansion of x in x 1.367 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.367 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.367 * [taylor]: Taking taylor expansion of -1 in x 1.367 * [taylor]: Taking taylor expansion of x in x 1.368 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (+ (exp (/ 1 x)) (exp (/ -1 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 (+ (exp (/ 1 x)) (exp (/ -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 1.369 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.369 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.369 * [taylor]: Taking taylor expansion of -1 in x 1.369 * [taylor]: Taking taylor expansion of x in x 1.385 * * * * [progress]: [ 2 / 2 ] generating series at (2) 1.386 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (+ (exp x) (exp (- x)))) in (x) around 0 1.386 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (+ (exp x) (exp (- x)))) in x 1.386 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 1.386 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.386 * [taylor]: Taking taylor expansion of 2.0 in x 1.386 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.386 * [taylor]: Taking taylor expansion of (exp x) in x 1.386 * [taylor]: Taking taylor expansion of x in x 1.386 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.386 * [taylor]: Taking taylor expansion of (- x) in x 1.386 * [taylor]: Taking taylor expansion of x in x 1.388 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (+ (exp x) (exp (- x)))) in x 1.388 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 1.388 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.388 * [taylor]: Taking taylor expansion of 2.0 in x 1.389 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.389 * [taylor]: Taking taylor expansion of (exp x) in x 1.389 * [taylor]: Taking taylor expansion of x in x 1.389 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.389 * [taylor]: Taking taylor expansion of (- x) in x 1.389 * [taylor]: Taking taylor expansion of x in x 1.427 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 1.427 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.427 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 1.427 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.427 * [taylor]: Taking taylor expansion of 2.0 in x 1.428 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.428 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.428 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.428 * [taylor]: Taking taylor expansion of x in x 1.428 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.428 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.428 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.428 * [taylor]: Taking taylor expansion of x in x 1.430 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.430 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 1.430 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.430 * [taylor]: Taking taylor expansion of 2.0 in x 1.431 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.431 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.431 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.431 * [taylor]: Taking taylor expansion of x in x 1.431 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.431 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.431 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.431 * [taylor]: Taking taylor expansion of x in x 1.449 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 1.449 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.449 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 1.449 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.449 * [taylor]: Taking taylor expansion of 2.0 in x 1.450 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.450 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.450 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.450 * [taylor]: Taking taylor expansion of x in x 1.450 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.450 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.450 * [taylor]: Taking taylor expansion of -1 in x 1.450 * [taylor]: Taking taylor expansion of x in x 1.452 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.452 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 1.452 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.452 * [taylor]: Taking taylor expansion of 2.0 in x 1.453 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.453 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.453 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.453 * [taylor]: Taking taylor expansion of x in x 1.453 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.453 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.453 * [taylor]: Taking taylor expansion of -1 in x 1.453 * [taylor]: Taking taylor expansion of x in x 1.659 * * * [progress]: simplifying candidates 1.673 * [simplify]: Simplifying using # : (expm1 (/ (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))) (log1p (/ (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))) (- (- (log (sqrt 2.0)) (log (sqrt (+ (exp x) (exp (- x)))))) (log (sqrt (+ (exp x) (exp (- x)))))) (- (log (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (log (sqrt (+ (exp x) (exp (- x)))))) (log (/ (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))) (exp (/ (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))) (/ (/ (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))) (* (* (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))) (/ (* (* (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (* (* (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))) (* (cbrt (/ (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))))) (cbrt (/ (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))) (* (* (/ (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))) (/ (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))) (/ (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))) (/ (/ 2.0 (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))) (sqrt (/ (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))) (sqrt (/ (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))) (- (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (- (sqrt (+ (exp x) (exp (- x))))) (/ (* (cbrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (/ (cbrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))) (/ (* (cbrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))))) (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (/ (cbrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (sqrt (cbrt (+ (exp x) (exp (- x)))))) (/ (* (cbrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (cbrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (* (cbrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))))) (sqrt 1)) (/ (cbrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))) (/ (* (cbrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))))) (sqrt 1)) (/ (cbrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))) (/ (* (cbrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (cbrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (* (cbrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))))) 1) (/ (cbrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (/ (sqrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (/ (sqrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (sqrt (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (sqrt 1)) (/ (sqrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (sqrt 1)) (/ (sqrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) 1) (/ (sqrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))) (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (/ (/ (cbrt (sqrt 2.0)) (cbrt (sqrt (+ (exp x) (exp (- x)))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))) (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (/ (/ (cbrt (sqrt 2.0)) (cbrt (sqrt (+ (exp x) (exp (- x)))))) (sqrt (cbrt (+ (exp x) (exp (- x)))))) (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (/ (cbrt (sqrt 2.0)) (cbrt (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (sqrt 1)) (/ (/ (cbrt (sqrt 2.0)) (cbrt (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))) (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (sqrt 1)) (/ (/ (cbrt (sqrt 2.0)) (cbrt (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))) (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (/ (cbrt (sqrt 2.0)) (cbrt (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) 1) (/ (/ (cbrt (sqrt 2.0)) (cbrt (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))) (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (/ (/ (cbrt (sqrt 2.0)) (sqrt (cbrt (+ (exp x) (exp (- x)))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))) (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (/ (/ (cbrt (sqrt 2.0)) (sqrt (cbrt (+ (exp x) (exp (- x)))))) (sqrt (cbrt (+ (exp x) (exp (- x)))))) (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (/ (cbrt (sqrt 2.0)) (sqrt (cbrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (sqrt 1)) (/ (/ (cbrt (sqrt 2.0)) (sqrt (cbrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))) (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (sqrt 1)) (/ (/ (cbrt (sqrt 2.0)) (sqrt (cbrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))) (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (* (cbrt (+ 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(pow (exp x) 3) (pow (exp (- x)) 3)))) (/ (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (* (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) (cbrt (sqrt 2.0))) (* (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) (sqrt (cbrt 2.0))) (* (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) (sqrt (sqrt 2.0))) (/ 2.0 (+ (exp x) (exp (- x)))) (* (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) (sqrt (sqrt 2.0))) (/ 2.0 (+ (exp x) (exp (- x)))) (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (fma (* 5/48 (sqrt 2.0)) (pow x 4) (- (* 1/2 (sqrt 2.0)) (* 1/4 (* (sqrt 2.0) (pow x 2))))) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) (+ (* (* 5/48 2.0) (pow x 4)) (- (* 2.0 1/2) (* (* 1/4 2.0) (pow x 2)))) (/ 2.0 (+ (exp x) (exp (- x)))) (/ 2.0 (+ (exp x) (exp (- x)))) 1.794 * * * [progress]: adding candidates to table 2.766 * [progress]: [Phase 3 of 3] Extracting. 2.768 * [simplify]: Simplifying using # : (* (sqrt 2.0) (/ (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))) 2.769 * * [simplify]: iteration 0 : 13 enodes (cost 15 ) 2.769 * * [simplify]: iteration 1 : 13 enodes (cost 15 ) 2.769 * [simplify]: Simplified to: (* (sqrt 2.0) (/ (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))) 3.181 * [regime-testing]: End program error score: 0.015820790489097562