8.498 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.010 * * * [progress]: [2/2] Setting up program. 0.012 * [progress]: [Phase 2 of 3] Improving. 0.012 * [simplify]: Simplifying using # : (/ 2.0 (+ (exp x) (exp (- x)))) 0.014 * * [simplify]: iteration 0 : 10 enodes (cost 5 ) 0.015 * * [simplify]: iteration 1 : 12 enodes (cost 5 ) 0.016 * * [simplify]: iteration 2 : 14 enodes (cost 5 ) 0.018 * * [simplify]: iteration 3 : 15 enodes (cost 5 ) 0.019 * * [simplify]: iteration 4 : 20 enodes (cost 5 ) 0.020 * * [simplify]: iteration 5 : 41 enodes (cost 5 ) 0.021 * * [simplify]: iteration 6 : 66 enodes (cost 5 ) 0.023 * * [simplify]: iteration 7 : 165 enodes (cost 5 ) 0.030 * * [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)))) 0.231 * * [progress]: iteration 1 / 4 0.231 * * * [progress]: picking best candidate 0.233 * * * * [pick]: Picked # 0.233 * * * [progress]: localizing error 0.239 * * * [progress]: generating rewritten candidates 0.239 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.253 * * * [progress]: generating series expansions 0.253 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.254 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in (x) around 0 0.254 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 0.254 * [taylor]: Taking taylor expansion of 2.0 in x 0.254 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.254 * [taylor]: Taking taylor expansion of (exp x) in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.254 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.254 * [taylor]: Taking taylor expansion of (- x) in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 0.255 * [taylor]: Taking taylor expansion of 2.0 in x 0.255 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.255 * [taylor]: Taking taylor expansion of (exp x) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.255 * [taylor]: Taking taylor expansion of (- x) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.278 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 0.278 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.278 * [taylor]: Taking taylor expansion of 2.0 in x 0.278 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.278 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.278 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.279 * [taylor]: Taking taylor expansion of 2.0 in x 0.279 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.279 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.279 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.279 * [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 x) in x 0.280 * [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 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 in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.291 * * * [progress]: simplifying candidates 0.292 * [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))) 0.295 * * [simplify]: iteration 0 : 167 enodes (cost 323 ) 0.299 * * [simplify]: iteration 1 : 568 enodes (cost 300 ) 0.308 * * [simplify]: iteration 2 : 2220 enodes (cost 299 ) 0.362 * * [simplify]: iteration 3 : 5001 enodes (cost 299 ) 0.364 * [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))) 0.364 * * * [progress]: adding candidates to table 0.445 * * [progress]: iteration 2 / 4 0.445 * * * [progress]: picking best candidate 0.447 * * * * [pick]: Picked # 0.447 * * * [progress]: localizing error 0.455 * * * [progress]: generating rewritten candidates 0.455 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.466 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.478 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.488 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.505 * * * [progress]: generating series expansions 0.505 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.505 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp x) (exp (- x)))))) in (x) around 0 0.505 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp x) (exp (- x)))))) in x 0.505 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.505 * [taylor]: Taking taylor expansion of 2.0 in x 0.506 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (- x))))) in x 0.506 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 0.506 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.506 * [taylor]: Taking taylor expansion of (exp x) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.506 * [taylor]: Taking taylor expansion of (- x) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.510 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp x) (exp (- x)))))) in x 0.510 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.510 * [taylor]: Taking taylor expansion of 2.0 in x 0.511 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (- x))))) in x 0.511 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 0.511 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.511 * [taylor]: Taking taylor expansion of (exp x) in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.511 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.511 * [taylor]: Taking taylor expansion of (- x) in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.563 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in (x) around 0 0.563 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 0.563 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.563 * [taylor]: Taking taylor expansion of 2.0 in x 0.564 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 0.564 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.564 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.564 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.564 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.564 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.564 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.564 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.565 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 0.565 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.565 * [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 0.590 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in (x) around 0 0.590 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 0.590 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.590 * [taylor]: Taking taylor expansion of 2.0 in x 0.591 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 0.591 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.591 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.591 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.591 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.591 * [taylor]: Taking taylor expansion of 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 -1 in x 0.592 * [taylor]: Taking taylor expansion of x in x 0.593 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 0.593 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.593 * [taylor]: Taking taylor expansion of 2.0 in x 0.594 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 0.594 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.594 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.594 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.594 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.594 * [taylor]: Taking taylor expansion of x in x 0.594 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.594 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.594 * [taylor]: Taking taylor expansion of -1 in x 0.594 * [taylor]: Taking taylor expansion of x in x 0.612 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.612 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp x) (exp (- x)))))) in (x) around 0 0.612 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp x) (exp (- x)))))) in x 0.612 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.612 * [taylor]: Taking taylor expansion of 2.0 in x 0.613 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (- x))))) in x 0.613 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 0.613 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.613 * [taylor]: Taking taylor expansion of (exp x) in x 0.613 * [taylor]: Taking taylor expansion of x in x 0.613 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.613 * [taylor]: Taking taylor expansion of (- x) in x 0.613 * [taylor]: Taking taylor expansion of x in x 0.617 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp x) (exp (- x)))))) in x 0.617 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.617 * [taylor]: Taking taylor expansion of 2.0 in x 0.618 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (- x))))) in x 0.618 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 0.618 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.618 * [taylor]: Taking taylor expansion of (exp x) in x 0.618 * [taylor]: Taking taylor expansion of x in x 0.618 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.618 * [taylor]: Taking taylor expansion of (- x) in x 0.618 * [taylor]: Taking taylor expansion of x in x 0.675 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in (x) around 0 0.675 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 0.675 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.675 * [taylor]: Taking taylor expansion of 2.0 in x 0.676 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 0.676 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.676 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.676 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.676 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.676 * [taylor]: Taking taylor expansion of x in x 0.676 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.676 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.676 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.676 * [taylor]: Taking taylor expansion of x in x 0.677 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 0.677 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.677 * [taylor]: Taking taylor expansion of 2.0 in x 0.678 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 0.678 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.678 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.678 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.678 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.678 * [taylor]: Taking taylor expansion of x in x 0.679 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.679 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.679 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.679 * [taylor]: Taking taylor expansion of x in x 0.697 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in (x) around 0 0.697 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 0.697 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.697 * [taylor]: Taking taylor expansion of 2.0 in x 0.697 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 0.697 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.697 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.698 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.698 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.698 * [taylor]: Taking taylor expansion of x in x 0.698 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.698 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.698 * [taylor]: Taking taylor expansion of -1 in x 0.698 * [taylor]: Taking taylor expansion of x in x 0.699 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 0.699 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.699 * [taylor]: Taking taylor expansion of 2.0 in x 0.700 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 0.700 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.700 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.700 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.700 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.700 * [taylor]: Taking taylor expansion of x in x 0.700 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.700 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.700 * [taylor]: Taking taylor expansion of -1 in x 0.700 * [taylor]: Taking taylor expansion of x in x 0.718 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.718 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in (x) around 0 0.718 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 0.718 * [taylor]: Taking taylor expansion of 2.0 in x 0.718 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.718 * [taylor]: Taking taylor expansion of (exp x) in x 0.718 * [taylor]: Taking taylor expansion of x in x 0.718 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.718 * [taylor]: Taking taylor expansion of (- x) in x 0.718 * [taylor]: Taking taylor expansion of x in x 0.719 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 0.719 * [taylor]: Taking taylor expansion of 2.0 in x 0.719 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.719 * [taylor]: Taking taylor expansion of (exp x) in x 0.719 * [taylor]: Taking taylor expansion of x in x 0.719 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.719 * [taylor]: Taking taylor expansion of (- x) in x 0.719 * [taylor]: Taking taylor expansion of x in x 0.746 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 0.746 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.746 * [taylor]: Taking taylor expansion of 2.0 in x 0.746 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.746 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.746 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.746 * [taylor]: Taking taylor expansion of x in x 0.747 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.747 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.747 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.747 * [taylor]: Taking taylor expansion of x in x 0.747 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.747 * [taylor]: Taking taylor expansion of 2.0 in x 0.747 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.747 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.747 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.747 * [taylor]: Taking taylor expansion of x in x 0.748 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.748 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.748 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.748 * [taylor]: Taking taylor expansion of x in x 0.753 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 0.753 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.753 * [taylor]: Taking taylor expansion of 2.0 in x 0.753 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.753 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.753 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.754 * [taylor]: Taking taylor expansion of x in x 0.754 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.754 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.754 * [taylor]: Taking taylor expansion of -1 in x 0.754 * [taylor]: Taking taylor expansion of x in x 0.755 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.755 * [taylor]: Taking taylor expansion of 2.0 in x 0.755 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.755 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.755 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.755 * [taylor]: Taking taylor expansion of x in x 0.755 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.755 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.755 * [taylor]: Taking taylor expansion of -1 in x 0.755 * [taylor]: Taking taylor expansion of x in x 0.760 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.760 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in (x) around 0 0.760 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 0.760 * [taylor]: Taking taylor expansion of 2.0 in x 0.760 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.760 * [taylor]: Taking taylor expansion of (exp x) in x 0.760 * [taylor]: Taking taylor expansion of x in x 0.760 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.760 * [taylor]: Taking taylor expansion of (- x) in x 0.760 * [taylor]: Taking taylor expansion of x in x 0.761 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 0.761 * [taylor]: Taking taylor expansion of 2.0 in x 0.761 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.761 * [taylor]: Taking taylor expansion of (exp x) in x 0.761 * [taylor]: Taking taylor expansion of x in x 0.761 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.761 * [taylor]: Taking taylor expansion of (- x) in x 0.761 * [taylor]: Taking taylor expansion of x in x 0.784 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 0.784 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.784 * [taylor]: Taking taylor expansion of 2.0 in x 0.784 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.784 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.784 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.784 * [taylor]: Taking taylor expansion of x in x 0.784 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.784 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.784 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.784 * [taylor]: Taking taylor expansion of x in x 0.785 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.785 * [taylor]: Taking taylor expansion of 2.0 in x 0.785 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.785 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.785 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.785 * [taylor]: Taking taylor expansion of x in x 0.785 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.785 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.785 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.785 * [taylor]: Taking taylor expansion of x in x 0.791 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 0.791 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.791 * [taylor]: Taking taylor expansion of 2.0 in x 0.791 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.791 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.791 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.791 * [taylor]: Taking taylor expansion of x in x 0.791 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.791 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.791 * [taylor]: Taking taylor expansion of -1 in x 0.791 * [taylor]: Taking taylor expansion of x in x 0.792 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.792 * [taylor]: Taking taylor expansion of 2.0 in x 0.792 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.792 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.792 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.792 * [taylor]: Taking taylor expansion of x in x 0.792 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.792 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.792 * [taylor]: Taking taylor expansion of -1 in x 0.792 * [taylor]: Taking taylor expansion of x in x 0.797 * * * [progress]: simplifying candidates 0.799 * [simplify]: Simplifying using # : (expm1 (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (log1p (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (log (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (exp (sqrt (/ 2.0 (+ (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 (* (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))))) (sqrt (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (sqrt (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (sqrt (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 1) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt 2.0) (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (/ 2.0 (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (sqrt (- (exp x) (exp (- x)))) (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))) (/ 1 2) (sqrt (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (sqrt (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (expm1 (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (log1p (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (log (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (exp (sqrt (/ 2.0 (+ (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 (* (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))))) (sqrt (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (sqrt (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (sqrt (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 1) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt 2.0) (sqrt (/ 1 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (/ 2.0 (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (sqrt (- (exp x) (exp (- x)))) (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))) (/ 1 2) (sqrt (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (sqrt (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (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))))) (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))))) (- (+ (* 5/96 (/ (* (pow x 4) (sqrt 2.0)) (sqrt 1/2))) (* (sqrt 2.0) (sqrt 1/2))) (+ (* 1/128 (/ (* (pow x 4) (sqrt 2.0)) (pow (sqrt 1/2) 3))) (* 1/8 (/ (* (sqrt 2.0) (pow x 2)) (sqrt 1/2))))) (* (sqrt 2.0) (sqrt (/ 1 (+ (exp x) (exp (- x)))))) (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (* -1 x)) (exp x))))) (- (+ (* 5/96 (/ (* (pow x 4) (sqrt 2.0)) (sqrt 1/2))) (* (sqrt 2.0) (sqrt 1/2))) (+ (* 1/128 (/ (* (pow x 4) (sqrt 2.0)) (pow (sqrt 1/2) 3))) (* 1/8 (/ (* (sqrt 2.0) (pow x 2)) (sqrt 1/2))))) (* (sqrt 2.0) (sqrt (/ 1 (+ (exp x) (exp (- x)))))) (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (* -1 x)) (exp x))))) (- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2))) (/ 2.0 (+ (exp x) (exp (- x)))) (/ 2.0 (+ (exp (* -1 x)) (exp x))) (- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2))) (/ 2.0 (+ (exp x) (exp (- x)))) (/ 2.0 (+ (exp (* -1 x)) (exp x))) 0.805 * * [simplify]: iteration 0 : 276 enodes (cost 1396 ) 0.810 * * [simplify]: iteration 1 : 898 enodes (cost 1310 ) 0.828 * * [simplify]: iteration 2 : 4548 enodes (cost 1290 ) 0.980 * * [simplify]: iteration 3 : 5001 enodes (cost 1290 ) 0.985 * [simplify]: Simplified to: (expm1 (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (log1p (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (log (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (exp (sqrt (/ 2.0 (+ (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)))))) (pow (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) 3) (fabs (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (sqrt (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (sqrt (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (sqrt (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (fabs (/ (cbrt 2.0) (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)))))) (fabs (cbrt 2.0)) (sqrt (/ (cbrt 2.0) (+ (exp x) (exp (- x))))) (fabs 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(fabs (cbrt 2.0)) (sqrt (/ (cbrt 2.0) (+ (exp x) (exp (- x))))) (fabs (cbrt 2.0)) (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)))))) 1 (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) 1 (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) 1 (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt 2.0) (sqrt (/ 1 (+ (exp (* -1 x)) (exp x)))) (sqrt (/ 2.0 (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (sqrt (+ (* (exp x) (exp x)) (- (* (exp 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(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 x) (exp (- x)))) 1 (/ 2.0 (+ (exp x) (exp (- x)))) (/ 1 (+ (exp (* -1 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)))) (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 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 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 x) (exp (- x)))) 1 (/ 2.0 (+ (exp x) (exp (- x)))) (/ 1 (+ (exp (* -1 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)))) (+ (- (* (/ (* (pow x 4) (sqrt 2.0)) (sqrt 1/2)) 7/192) (* 1/8 (/ (* (sqrt 2.0) (pow x 2)) (sqrt 1/2)))) (* (sqrt 2.0) (sqrt 1/2))) (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (* -1 x)) (exp x))))) (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (* -1 x)) (exp x))))) (+ (- (* (/ (* (pow x 4) (sqrt 2.0)) (sqrt 1/2)) 7/192) (* 1/8 (/ (* (sqrt 2.0) (pow x 2)) (sqrt 1/2)))) (* (sqrt 2.0) (sqrt 1/2))) (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (* -1 x)) (exp x))))) (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (* -1 x)) (exp x))))) (fma (pow x 4) 0.20833333333333334 (- 1.0 (* 0.5 (pow x 2)))) (/ 2.0 (+ (exp x) (exp (- x)))) (/ 2.0 (+ (exp x) (exp (- x)))) (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)))) 0.986 * * * [progress]: adding candidates to table 1.367 * [progress]: [Phase 3 of 3] Extracting. 1.369 * [simplify]: Simplifying using # : (* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) 1.370 * * [simplify]: iteration 0 : 10 enodes (cost 13 ) 1.370 * * [simplify]: iteration 1 : 10 enodes (cost 13 ) 1.370 * [simplify]: Simplified to: (* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) 1.735 * [regime-testing]: End program error score: 0.010732544693988193