15.005 * [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)))) 0.015 * * [simplify]: iteration 0 : 10 enodes (cost 5 ) 0.016 * * [simplify]: iteration 1 : 12 enodes (cost 5 ) 0.017 * * [simplify]: iteration 2 : 14 enodes (cost 5 ) 0.019 * * [simplify]: iteration 3 : 15 enodes (cost 5 ) 0.020 * * [simplify]: iteration 4 : 20 enodes (cost 5 ) 0.021 * * [simplify]: iteration 5 : 41 enodes (cost 5 ) 0.023 * * [simplify]: iteration 6 : 66 enodes (cost 5 ) 0.025 * * [simplify]: iteration 7 : 165 enodes (cost 5 ) 0.032 * * [simplify]: iteration 8 : 1123 enodes (cost 5 ) 0.227 * * [simplify]: iteration 9 : 5001 enodes (cost 5 ) 0.227 * [simplify]: Simplified to: (/ 2.0 (+ (exp x) (exp (- x)))) 0.228 * * [progress]: iteration 1 / 4 0.228 * * * [progress]: picking best candidate 0.229 * * * * [pick]: Picked # 0.229 * * * [progress]: localizing error 0.235 * * * [progress]: generating rewritten candidates 0.235 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.242 * * * [progress]: generating series expansions 0.242 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.243 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in (x) around 0 0.243 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 0.243 * [taylor]: Taking taylor expansion of 2.0 in x 0.243 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.243 * [taylor]: Taking taylor expansion of (exp x) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.243 * [taylor]: Taking taylor expansion of (- x) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 0.244 * [taylor]: Taking taylor expansion of 2.0 in x 0.244 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.244 * [taylor]: Taking taylor expansion of (exp x) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.244 * [taylor]: Taking taylor expansion of (- x) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.273 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 0.273 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.273 * [taylor]: Taking taylor expansion of 2.0 in x 0.273 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.273 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.274 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.275 * [taylor]: Taking taylor expansion of 2.0 in x 0.275 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.275 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.275 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.275 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.275 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.275 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.281 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 0.281 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.281 * [taylor]: Taking taylor expansion of 2.0 in x 0.281 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.281 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.281 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.281 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.281 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.281 * [taylor]: Taking taylor expansion of -1 in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.282 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.282 * [taylor]: Taking taylor expansion of 2.0 in x 0.282 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.282 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.282 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.282 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.282 * [taylor]: Taking taylor expansion of -1 in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.288 * * * [progress]: simplifying candidates 0.288 * [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))) 0.292 * * [simplify]: iteration 0 : 167 enodes (cost 323 ) 0.295 * * [simplify]: iteration 1 : 568 enodes (cost 300 ) 0.306 * * [simplify]: iteration 2 : 2220 enodes (cost 299 ) 0.359 * * [simplify]: iteration 3 : 5001 enodes (cost 299 ) 0.361 * [simplify]: Simplified to: (expm1 (/ 2.0 (+ (exp x) (exp (- x))))) (log1p (/ 2.0 (+ (exp x) (exp (- x))))) (log (/ 2.0 (+ (exp x) (exp (- x))))) (log (/ 2.0 (+ (exp x) (exp (- x))))) (exp (/ 2.0 (+ (exp x) (exp (- x))))) (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3) (* (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (- 2.0) (- (+ (exp x) (exp (- x)))) (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (cbrt 2.0) (cbrt (+ (exp x) (exp (- x))))) (/ (* (cbrt 2.0) (cbrt 2.0)) (sqrt (+ (exp x) (exp (- x))))) (/ (cbrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (* (cbrt 2.0) (cbrt 2.0)) (/ (cbrt 2.0) (+ (exp x) (exp (- x)))) (* (cbrt 2.0) (cbrt 2.0)) (/ (cbrt 2.0) (+ (exp x) (exp (- x)))) (/ (sqrt 2.0) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2.0) (cbrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) (/ 1 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ 2.0 (cbrt (+ (exp x) (exp (- x))))) (/ 1 (sqrt (+ (exp x) (exp (- x))))) (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) 1 (/ 2.0 (+ (exp (* -1 x)) (exp x))) 1 (/ 2.0 (+ (exp (* -1 x)) (exp x))) (/ 1 (+ (exp x) (exp (- x)))) (/ (+ (exp x) (exp (- x))) 2.0) (/ 2.0 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) 2.0 2.0 (/ (+ (exp x) (exp (- x))) (cbrt 2.0)) (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (/ (+ (exp x) (exp (- x))) 2.0) (/ 2.0 (+ (pow (exp x) 3) (pow (exp (- x)) 3))) (/ 2.0 (fma (- (exp (- x))) (exp (* -1 x)) (exp (+ x x)))) (fma (pow x 4) 0.20833333333333334 (- 1.0 (* 0.5 (pow x 2)))) (/ 2.0 (+ (exp (* -1 x)) (exp x))) (/ 2.0 (+ (exp (* -1 x)) (exp x))) 0.361 * * * [progress]: adding candidates to table 0.441 * * [progress]: iteration 2 / 4 0.441 * * * [progress]: picking best candidate 0.446 * * * * [pick]: Picked # 0.446 * * * [progress]: localizing error 0.458 * * * [progress]: generating rewritten candidates 0.458 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 0.464 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.465 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.467 * * * [progress]: generating series expansions 0.467 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 0.467 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in (x) around 0 0.467 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 0.467 * [taylor]: Taking taylor expansion of 2.0 in x 0.467 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.467 * [taylor]: Taking taylor expansion of (exp x) in x 0.467 * [taylor]: Taking taylor expansion of x in x 0.467 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.467 * [taylor]: Taking taylor expansion of (- x) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.469 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 0.469 * [taylor]: Taking taylor expansion of 2.0 in x 0.469 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.469 * [taylor]: Taking taylor expansion of (exp x) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.469 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.469 * [taylor]: Taking taylor expansion of (- x) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.493 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 0.493 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.493 * [taylor]: Taking taylor expansion of 2.0 in x 0.493 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.493 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.493 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.493 * [taylor]: Taking taylor expansion of x in x 0.493 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.493 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.494 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.494 * [taylor]: Taking taylor expansion of x in x 0.494 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.494 * [taylor]: Taking taylor expansion of 2.0 in x 0.494 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.494 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.494 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.494 * [taylor]: Taking taylor expansion of x in x 0.495 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.495 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.495 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.500 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 0.500 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.500 * [taylor]: Taking taylor expansion of 2.0 in x 0.500 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.500 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.500 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.501 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.501 * [taylor]: Taking taylor expansion of -1 in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.501 * [taylor]: Taking taylor expansion of 2.0 in x 0.501 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.501 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.501 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.502 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.502 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.502 * [taylor]: Taking taylor expansion of -1 in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.507 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.507 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ 2.0 (+ (exp x) (exp (- x)))))) in (x) around 0 0.507 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 2.0 (+ (exp x) (exp (- x)))))) in x 0.507 * [taylor]: Rewrote expression to (- (exp (log1p (/ 2.0 (+ (exp x) (exp (- x)))))) 1) 0.507 * [taylor]: Taking taylor expansion of (exp (log1p (/ 2.0 (+ (exp x) (exp (- x)))))) in x 0.507 * [taylor]: Taking taylor expansion of (log1p (/ 2.0 (+ (exp x) (exp (- x))))) in x 0.507 * [taylor]: Rewrote expression to (log (+ 1 (/ 2.0 (+ (exp x) (exp (- x)))))) 0.507 * [taylor]: Taking taylor expansion of (+ 1 (/ 2.0 (+ (exp x) (exp (- x))))) in x 0.507 * [taylor]: Taking taylor expansion of 1 in x 0.507 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 0.507 * [taylor]: Taking taylor expansion of 2.0 in x 0.507 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.507 * [taylor]: Taking taylor expansion of (exp x) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.507 * [taylor]: Taking taylor expansion of (- x) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.510 * [taylor]: Taking taylor expansion of 1 in x 0.510 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 2.0 (+ (exp x) (exp (- x)))))) in x 0.510 * [taylor]: Rewrote expression to (- (exp (log1p (/ 2.0 (+ (exp x) (exp (- x)))))) 1) 0.510 * [taylor]: Taking taylor expansion of (exp (log1p (/ 2.0 (+ (exp x) (exp (- x)))))) in x 0.510 * [taylor]: Taking taylor expansion of (log1p (/ 2.0 (+ (exp x) (exp (- x))))) in x 0.510 * [taylor]: Rewrote expression to (log (+ 1 (/ 2.0 (+ (exp x) (exp (- x)))))) 0.510 * [taylor]: Taking taylor expansion of (+ 1 (/ 2.0 (+ (exp x) (exp (- x))))) in x 0.510 * [taylor]: Taking taylor expansion of 1 in x 0.510 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 0.510 * [taylor]: Taking taylor expansion of 2.0 in x 0.510 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.510 * [taylor]: Taking taylor expansion of (exp x) in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.510 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.510 * [taylor]: Taking taylor expansion of (- x) in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.512 * [taylor]: Taking taylor expansion of 1 in x 0.607 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in (x) around 0 0.607 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 0.607 * [taylor]: Rewrote expression to (- (exp (log1p (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 1) 0.607 * [taylor]: Taking taylor expansion of (exp (log1p (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 0.607 * [taylor]: Taking taylor expansion of (log1p (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 0.607 * [taylor]: Rewrote expression to (log (+ 1 (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 0.607 * [taylor]: Taking taylor expansion of (+ 1 (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 0.607 * [taylor]: Taking taylor expansion of 1 in x 0.607 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.607 * [taylor]: Taking taylor expansion of 2.0 in x 0.607 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.607 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.607 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.607 * [taylor]: Taking taylor expansion of x in x 0.607 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.607 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.607 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.607 * [taylor]: Taking taylor expansion of x in x 0.608 * [taylor]: Taking taylor expansion of 1 in x 0.609 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 0.609 * [taylor]: Rewrote expression to (- (exp (log1p (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 1) 0.609 * [taylor]: Taking taylor expansion of (exp (log1p (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 0.609 * [taylor]: Taking taylor expansion of (log1p (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 0.609 * [taylor]: Rewrote expression to (log (+ 1 (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 0.609 * [taylor]: Taking taylor expansion of (+ 1 (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 0.609 * [taylor]: Taking taylor expansion of 1 in x 0.609 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.609 * [taylor]: Taking taylor expansion of 2.0 in x 0.609 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.609 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.609 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.609 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.609 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.609 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.610 * [taylor]: Taking taylor expansion of 1 in x 0.658 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in (x) around 0 0.658 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 0.658 * [taylor]: Rewrote expression to (- (exp (log1p (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 1) 0.658 * [taylor]: Taking taylor expansion of (exp (log1p (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 0.658 * [taylor]: Taking taylor expansion of (log1p (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 0.658 * [taylor]: Rewrote expression to (log (+ 1 (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 0.658 * [taylor]: Taking taylor expansion of (+ 1 (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 0.658 * [taylor]: Taking taylor expansion of 1 in x 0.659 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.659 * [taylor]: Taking taylor expansion of 2.0 in x 0.659 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.659 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.659 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.659 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.659 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.659 * [taylor]: Taking taylor expansion of -1 in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.660 * [taylor]: Taking taylor expansion of 1 in x 0.660 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 0.660 * [taylor]: Rewrote expression to (- (exp (log1p (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 1) 0.660 * [taylor]: Taking taylor expansion of (exp (log1p (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 0.660 * [taylor]: Taking taylor expansion of (log1p (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 0.660 * [taylor]: Rewrote expression to (log (+ 1 (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 0.660 * [taylor]: Taking taylor expansion of (+ 1 (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 0.660 * [taylor]: Taking taylor expansion of 1 in x 0.660 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.660 * [taylor]: Taking taylor expansion of 2.0 in x 0.660 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.660 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.660 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.660 * [taylor]: Taking taylor expansion of x in x 0.661 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.661 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.661 * [taylor]: Taking taylor expansion of -1 in x 0.661 * [taylor]: Taking taylor expansion of x in x 0.662 * [taylor]: Taking taylor expansion of 1 in x 0.702 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.702 * [approximate]: Taking taylor expansion of (log1p (/ 2.0 (+ (exp x) (exp (- x))))) in (x) around 0 0.702 * [taylor]: Taking taylor expansion of (log1p (/ 2.0 (+ (exp x) (exp (- x))))) in x 0.702 * [taylor]: Rewrote expression to (log (+ 1 (/ 2.0 (+ (exp x) (exp (- x)))))) 0.702 * [taylor]: Taking taylor expansion of (+ 1 (/ 2.0 (+ (exp x) (exp (- x))))) in x 0.702 * [taylor]: Taking taylor expansion of 1 in x 0.702 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 0.702 * [taylor]: Taking taylor expansion of 2.0 in x 0.702 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.702 * [taylor]: Taking taylor expansion of (exp x) in x 0.702 * [taylor]: Taking taylor expansion of x in x 0.702 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.702 * [taylor]: Taking taylor expansion of (- x) in x 0.702 * [taylor]: Taking taylor expansion of x in x 0.704 * [taylor]: Taking taylor expansion of (log1p (/ 2.0 (+ (exp x) (exp (- x))))) in x 0.704 * [taylor]: Rewrote expression to (log (+ 1 (/ 2.0 (+ (exp x) (exp (- x)))))) 0.704 * [taylor]: Taking taylor expansion of (+ 1 (/ 2.0 (+ (exp x) (exp (- x))))) in x 0.704 * [taylor]: Taking taylor expansion of 1 in x 0.704 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 0.704 * [taylor]: Taking taylor expansion of 2.0 in x 0.704 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.704 * [taylor]: Taking taylor expansion of (exp x) in x 0.704 * [taylor]: Taking taylor expansion of x in x 0.704 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.704 * [taylor]: Taking taylor expansion of (- x) in x 0.704 * [taylor]: Taking taylor expansion of x in x 0.772 * [approximate]: Taking taylor expansion of (log1p (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in (x) around 0 0.772 * [taylor]: Taking taylor expansion of (log1p (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 0.773 * [taylor]: Rewrote expression to (log (+ 1 (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 0.773 * [taylor]: Taking taylor expansion of (+ 1 (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 0.773 * [taylor]: Taking taylor expansion of 1 in x 0.773 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.773 * [taylor]: Taking taylor expansion of 2.0 in x 0.773 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.773 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.773 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.773 * [taylor]: Taking taylor expansion of x in x 0.773 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.773 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.773 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.773 * [taylor]: Taking taylor expansion of x in x 0.774 * [taylor]: Taking taylor expansion of (log1p (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 0.774 * [taylor]: Rewrote expression to (log (+ 1 (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 0.774 * [taylor]: Taking taylor expansion of (+ 1 (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 0.774 * [taylor]: Taking taylor expansion of 1 in x 0.774 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.774 * [taylor]: Taking taylor expansion of 2.0 in x 0.774 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.774 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.774 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.774 * [taylor]: Taking taylor expansion of x in x 0.775 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.775 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.775 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.775 * [taylor]: Taking taylor expansion of x in x 0.810 * [approximate]: Taking taylor expansion of (log1p (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in (x) around 0 0.810 * [taylor]: Taking taylor expansion of (log1p (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 0.810 * [taylor]: Rewrote expression to (log (+ 1 (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 0.810 * [taylor]: Taking taylor expansion of (+ 1 (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 0.810 * [taylor]: Taking taylor expansion of 1 in x 0.810 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.810 * [taylor]: Taking taylor expansion of 2.0 in x 0.810 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.810 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.810 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.810 * [taylor]: Taking taylor expansion of x in x 0.811 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.811 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.811 * [taylor]: Taking taylor expansion of -1 in x 0.811 * [taylor]: Taking taylor expansion of x in x 0.811 * [taylor]: Taking taylor expansion of (log1p (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 0.812 * [taylor]: Rewrote expression to (log (+ 1 (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 0.812 * [taylor]: Taking taylor expansion of (+ 1 (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 0.812 * [taylor]: Taking taylor expansion of 1 in x 0.812 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.812 * [taylor]: Taking taylor expansion of 2.0 in x 0.812 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.812 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.812 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.812 * [taylor]: Taking taylor expansion of x in x 0.812 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.812 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.812 * [taylor]: Taking taylor expansion of -1 in x 0.812 * [taylor]: Taking taylor expansion of x in x 0.840 * * * [progress]: simplifying candidates 0.841 * [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))))) (exp (log1p (/ 2.0 (+ (exp x) (exp (- x)))))) (expm1 (expm1 (log1p (/ 2.0 (+ (exp x) (exp (- x))))))) (log1p (expm1 (log1p (/ 2.0 (+ (exp x) (exp (- x))))))) (log (expm1 (log1p (/ 2.0 (+ (exp x) (exp (- x))))))) (exp (expm1 (log1p (/ 2.0 (+ (exp x) (exp (- x))))))) (* (cbrt (expm1 (log1p (/ 2.0 (+ (exp x) (exp (- x))))))) (cbrt (expm1 (log1p (/ 2.0 (+ (exp x) (exp (- x)))))))) (cbrt (expm1 (log1p (/ 2.0 (+ (exp x) (exp (- x))))))) (* (* (expm1 (log1p (/ 2.0 (+ (exp x) (exp (- x)))))) (expm1 (log1p (/ 2.0 (+ (exp x) (exp (- x))))))) (expm1 (log1p (/ 2.0 (+ (exp x) (exp (- x))))))) (sqrt (expm1 (log1p (/ 2.0 (+ (exp x) (exp (- x))))))) (sqrt (expm1 (log1p (/ 2.0 (+ (exp x) (exp (- x))))))) (+ 1 (/ 2.0 (+ (exp x) (exp (- x))))) (expm1 (log1p (/ 2.0 (+ (exp x) (exp (- x)))))) (log1p (log1p (/ 2.0 (+ (exp x) (exp (- x)))))) (log (log1p (/ 2.0 (+ (exp x) (exp (- x)))))) (exp (log1p (/ 2.0 (+ (exp x) (exp (- x)))))) (* (cbrt (log1p (/ 2.0 (+ (exp x) (exp (- x)))))) (cbrt (log1p (/ 2.0 (+ (exp x) (exp (- x))))))) (cbrt (log1p (/ 2.0 (+ (exp x) (exp (- x)))))) (* (* (log1p (/ 2.0 (+ (exp x) (exp (- x))))) (log1p (/ 2.0 (+ (exp x) (exp (- x)))))) (log1p (/ 2.0 (+ (exp x) (exp (- x)))))) (sqrt (log1p (/ 2.0 (+ (exp x) (exp (- x)))))) (sqrt (log1p (/ 2.0 (+ (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))) (- (+ 1.0 (* 0.2708333333333333 (pow x 4))) (+ (* 0.5 (pow x 2)) (* 0.25 (/ (pow x 4) (pow 2.0 2))))) (/ 2.0 (+ (exp x) (exp (- x)))) (/ 2.0 (+ (exp (* -1 x)) (exp x))) (- (+ (log 2.0) (* 0.10416666666666666 (pow x 4))) (+ (* 0.25 (pow x 2)) (* 0.125 (/ (pow x 4) (pow 2.0 2))))) (log (+ 1 (* 2.0 (/ 1 (+ (exp x) (exp (- x))))))) (log (+ (* 2.0 (/ 1 (+ (exp (* -1 x)) (exp x)))) 1)) 0.846 * * [simplify]: iteration 0 : 252 enodes (cost 535 ) 0.850 * * [simplify]: iteration 1 : 799 enodes (cost 486 ) 0.865 * * [simplify]: iteration 2 : 3358 enodes (cost 481 ) 0.954 * * [simplify]: iteration 3 : 5001 enodes (cost 481 ) 0.956 * [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 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)))) (fma 2.0 (/ 1 (+ (exp (* -1 x)) (exp x))) 1) (expm1 (/ 2.0 (+ (exp x) (exp (- x))))) (log1p (/ 2.0 (+ (exp x) (exp (- x))))) (log (/ 2.0 (+ (exp x) (exp (- x))))) (exp (/ 2.0 (+ (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))))) (pow (/ 2.0 (+ (exp x) (exp (- x)))) 3) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (fma 2.0 (/ 1 (+ (exp (* -1 x)) (exp x))) 1) (/ 2.0 (+ (exp x) (exp (- x)))) (log1p (log1p (/ 2.0 (+ (exp x) (exp (- x)))))) (log (log1p (/ 2.0 (+ (exp x) (exp (- x)))))) (fma 2.0 (/ 1 (+ (exp (* -1 x)) (exp x))) 1) (* (cbrt (log1p (/ 2.0 (+ (exp x) (exp (- x)))))) (cbrt (log1p (/ 2.0 (+ (exp x) (exp (- x))))))) (cbrt (log1p (/ 2.0 (+ (exp x) (exp (- x)))))) (pow (log1p (/ 2.0 (+ (exp x) (exp (- x))))) 3) (sqrt (log1p (/ 2.0 (+ (exp x) (exp (- x)))))) (sqrt (log1p (/ 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)))) (fma (pow x 4) 0.2708333333333333 (- 1.0 (fma 0.5 (pow x 2) (* 0.25 (/ (pow x 4) (pow 2.0 2)))))) (/ 2.0 (+ (exp x) (exp (- x)))) (/ 2.0 (+ (exp x) (exp (- x)))) (fma (pow x 4) 0.10416666666666666 (- (log 2.0) (fma 0.25 (pow x 2) (* 0.125 (/ (pow x 4) (pow 2.0 2)))))) (log1p (/ 2.0 (+ (exp x) (exp (- x))))) (log1p (/ 2.0 (+ (exp x) (exp (- x))))) 0.957 * * * [progress]: adding candidates to table 1.116 * * [progress]: iteration 3 / 4 1.116 * * * [progress]: picking best candidate 1.118 * * * * [pick]: Picked # 1.118 * * * [progress]: localizing error 1.128 * * * [progress]: generating rewritten candidates 1.128 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.133 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.139 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.145 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.158 * * * [progress]: generating series expansions 1.159 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.159 * [approximate]: Taking taylor expansion of (* (cbrt 2.0) (pow (/ 1 (+ (exp x) (exp (- x)))) 1/3)) in (x) around 0 1.159 * [taylor]: Taking taylor expansion of (* (cbrt 2.0) (pow (/ 1 (+ (exp x) (exp (- x)))) 1/3)) in x 1.159 * [taylor]: Taking taylor expansion of (cbrt 2.0) in x 1.159 * [taylor]: Taking taylor expansion of 2.0 in x 1.160 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ (exp x) (exp (- x)))) 1/3) in x 1.160 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (+ (exp x) (exp (- x))))))) in x 1.160 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (+ (exp x) (exp (- x)))))) in x 1.160 * [taylor]: Taking taylor expansion of 1/3 in x 1.160 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (exp x) (exp (- x))))) in x 1.160 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 1.160 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.160 * [taylor]: Taking taylor expansion of (exp x) in x 1.160 * [taylor]: Taking taylor expansion of x in x 1.160 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.160 * [taylor]: Taking taylor expansion of (- x) in x 1.160 * [taylor]: Taking taylor expansion of x in x 1.163 * [taylor]: Taking taylor expansion of (* (cbrt 2.0) (pow (/ 1 (+ (exp x) (exp (- x)))) 1/3)) in x 1.163 * [taylor]: Taking taylor expansion of (cbrt 2.0) in x 1.163 * [taylor]: Taking taylor expansion of 2.0 in x 1.164 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ (exp x) (exp (- x)))) 1/3) in x 1.164 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (+ (exp x) (exp (- x))))))) in x 1.164 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (+ (exp x) (exp (- x)))))) in x 1.164 * [taylor]: Taking taylor expansion of 1/3 in x 1.164 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (exp x) (exp (- x))))) in x 1.164 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 1.164 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.164 * [taylor]: Taking taylor expansion of (exp x) in x 1.164 * [taylor]: Taking taylor expansion of x in x 1.164 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.164 * [taylor]: Taking taylor expansion of (- x) in x 1.165 * [taylor]: Taking taylor expansion of x in x 1.232 * [approximate]: Taking taylor expansion of (* (cbrt 2.0) (pow (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1/3)) in (x) around 0 1.232 * [taylor]: Taking taylor expansion of (* (cbrt 2.0) (pow (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1/3)) in x 1.232 * [taylor]: Taking taylor expansion of (cbrt 2.0) in x 1.232 * [taylor]: Taking taylor expansion of 2.0 in x 1.233 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1/3) in x 1.233 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) in x 1.233 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 1.233 * [taylor]: Taking taylor expansion of 1/3 in x 1.233 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.233 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.233 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.233 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.233 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.233 * [taylor]: Taking taylor expansion of x in x 1.233 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.234 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.234 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.234 * [taylor]: Taking taylor expansion of x in x 1.241 * [taylor]: Taking taylor expansion of (* (cbrt 2.0) (pow (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1/3)) in x 1.241 * [taylor]: Taking taylor expansion of (cbrt 2.0) in x 1.241 * [taylor]: Taking taylor expansion of 2.0 in x 1.241 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1/3) in x 1.242 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) in x 1.242 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 1.242 * [taylor]: Taking taylor expansion of 1/3 in x 1.242 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.242 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.242 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.242 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.242 * [taylor]: Taking taylor expansion of x in x 1.242 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.242 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.242 * [taylor]: Taking taylor expansion of x in x 1.296 * [approximate]: Taking taylor expansion of (* (cbrt 2.0) (pow (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 1/3)) in (x) around 0 1.296 * [taylor]: Taking taylor expansion of (* (cbrt 2.0) (pow (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 1/3)) in x 1.296 * [taylor]: Taking taylor expansion of (cbrt 2.0) in x 1.296 * [taylor]: Taking taylor expansion of 2.0 in x 1.297 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 1/3) in x 1.297 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) in x 1.297 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 1.297 * [taylor]: Taking taylor expansion of 1/3 in x 1.297 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.297 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.297 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.297 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.297 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.297 * [taylor]: Taking taylor expansion of x in x 1.297 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.297 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.297 * [taylor]: Taking taylor expansion of -1 in x 1.297 * [taylor]: Taking taylor expansion of x in x 1.298 * [taylor]: Taking taylor expansion of (* (cbrt 2.0) (pow (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 1/3)) in x 1.298 * [taylor]: Taking taylor expansion of (cbrt 2.0) in x 1.298 * [taylor]: Taking taylor expansion of 2.0 in x 1.299 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 1/3) in x 1.299 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) in x 1.299 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 1.299 * [taylor]: Taking taylor expansion of 1/3 in x 1.299 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.299 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.299 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.299 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.299 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.299 * [taylor]: Taking taylor expansion of x in x 1.299 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.299 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.300 * [taylor]: Taking taylor expansion of -1 in x 1.300 * [taylor]: Taking taylor expansion of x in x 1.357 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.357 * [approximate]: Taking taylor expansion of (* (cbrt 2.0) (pow (/ 1 (+ (exp x) (exp (- x)))) 1/3)) in (x) around 0 1.357 * [taylor]: Taking taylor expansion of (* (cbrt 2.0) (pow (/ 1 (+ (exp x) (exp (- x)))) 1/3)) in x 1.357 * [taylor]: Taking taylor expansion of (cbrt 2.0) in x 1.357 * [taylor]: Taking taylor expansion of 2.0 in x 1.358 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ (exp x) (exp (- x)))) 1/3) in x 1.358 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (+ (exp x) (exp (- x))))))) in x 1.358 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (+ (exp x) (exp (- x)))))) in x 1.358 * [taylor]: Taking taylor expansion of 1/3 in x 1.358 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (exp x) (exp (- x))))) in x 1.358 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 1.358 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.358 * [taylor]: Taking taylor expansion of (exp x) in x 1.358 * [taylor]: Taking taylor expansion of x in x 1.358 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.358 * [taylor]: Taking taylor expansion of (- x) in x 1.358 * [taylor]: Taking taylor expansion of x in x 1.361 * [taylor]: Taking taylor expansion of (* (cbrt 2.0) (pow (/ 1 (+ (exp x) (exp (- x)))) 1/3)) in x 1.361 * [taylor]: Taking taylor expansion of (cbrt 2.0) in x 1.361 * [taylor]: Taking taylor expansion of 2.0 in x 1.362 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ (exp x) (exp (- x)))) 1/3) in x 1.362 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (+ (exp x) (exp (- x))))))) in x 1.362 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (+ (exp x) (exp (- x)))))) in x 1.362 * [taylor]: Taking taylor expansion of 1/3 in x 1.362 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (exp x) (exp (- x))))) in x 1.362 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 1.362 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.362 * [taylor]: Taking taylor expansion of (exp x) in x 1.362 * [taylor]: Taking taylor expansion of x in x 1.362 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.362 * [taylor]: Taking taylor expansion of (- x) in x 1.362 * [taylor]: Taking taylor expansion of x in x 1.435 * [approximate]: Taking taylor expansion of (* (cbrt 2.0) (pow (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1/3)) in (x) around 0 1.435 * [taylor]: Taking taylor expansion of (* (cbrt 2.0) (pow (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1/3)) in x 1.435 * [taylor]: Taking taylor expansion of (cbrt 2.0) in x 1.435 * [taylor]: Taking taylor expansion of 2.0 in x 1.436 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1/3) in x 1.436 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) in x 1.436 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 1.436 * [taylor]: Taking taylor expansion of 1/3 in x 1.436 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.436 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.436 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.436 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.436 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.436 * [taylor]: Taking taylor expansion of x in x 1.436 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.436 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.436 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.436 * [taylor]: Taking taylor expansion of x in x 1.437 * [taylor]: Taking taylor expansion of (* (cbrt 2.0) (pow (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1/3)) in x 1.437 * [taylor]: Taking taylor expansion of (cbrt 2.0) in x 1.437 * [taylor]: Taking taylor expansion of 2.0 in x 1.438 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1/3) in x 1.438 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) in x 1.438 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 1.438 * [taylor]: Taking taylor expansion of 1/3 in x 1.438 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.438 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.438 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.438 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.438 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.438 * [taylor]: Taking taylor expansion of x in x 1.438 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.438 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.438 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.438 * [taylor]: Taking taylor expansion of x in x 1.492 * [approximate]: Taking taylor expansion of (* (cbrt 2.0) (pow (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 1/3)) in (x) around 0 1.492 * [taylor]: Taking taylor expansion of (* (cbrt 2.0) (pow (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 1/3)) in x 1.492 * [taylor]: Taking taylor expansion of (cbrt 2.0) in x 1.492 * [taylor]: Taking taylor expansion of 2.0 in x 1.493 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 1/3) in x 1.493 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) in x 1.493 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 1.493 * [taylor]: Taking taylor expansion of 1/3 in x 1.493 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.493 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.493 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.493 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.493 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.493 * [taylor]: Taking taylor expansion of x in x 1.493 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.493 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.493 * [taylor]: Taking taylor expansion of -1 in x 1.493 * [taylor]: Taking taylor expansion of x in x 1.494 * [taylor]: Taking taylor expansion of (* (cbrt 2.0) (pow (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 1/3)) in x 1.494 * [taylor]: Taking taylor expansion of (cbrt 2.0) in x 1.494 * [taylor]: Taking taylor expansion of 2.0 in x 1.495 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 1/3) in x 1.495 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) in x 1.495 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 1.495 * [taylor]: Taking taylor expansion of 1/3 in x 1.495 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.495 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.495 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.495 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.495 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.495 * [taylor]: Taking taylor expansion of x in x 1.501 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.501 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.501 * [taylor]: Taking taylor expansion of -1 in x 1.501 * [taylor]: Taking taylor expansion of x in x 1.555 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.555 * [approximate]: Taking taylor expansion of (* (cbrt 2.0) (pow (/ 1 (+ (exp x) (exp (- x)))) 1/3)) in (x) around 0 1.555 * [taylor]: Taking taylor expansion of (* (cbrt 2.0) (pow (/ 1 (+ (exp x) (exp (- x)))) 1/3)) in x 1.555 * [taylor]: Taking taylor expansion of (cbrt 2.0) in x 1.555 * [taylor]: Taking taylor expansion of 2.0 in x 1.556 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ (exp x) (exp (- x)))) 1/3) in x 1.556 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (+ (exp x) (exp (- x))))))) in x 1.556 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (+ (exp x) (exp (- x)))))) in x 1.556 * [taylor]: Taking taylor expansion of 1/3 in x 1.556 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (exp x) (exp (- x))))) in x 1.556 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 1.556 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.556 * [taylor]: Taking taylor expansion of (exp x) in x 1.556 * [taylor]: Taking taylor expansion of x in x 1.556 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.556 * [taylor]: Taking taylor expansion of (- x) in x 1.556 * [taylor]: Taking taylor expansion of x in x 1.559 * [taylor]: Taking taylor expansion of (* (cbrt 2.0) (pow (/ 1 (+ (exp x) (exp (- x)))) 1/3)) in x 1.559 * [taylor]: Taking taylor expansion of (cbrt 2.0) in x 1.559 * [taylor]: Taking taylor expansion of 2.0 in x 1.559 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ (exp x) (exp (- x)))) 1/3) in x 1.559 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (+ (exp x) (exp (- x))))))) in x 1.560 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (+ (exp x) (exp (- x)))))) in x 1.560 * [taylor]: Taking taylor expansion of 1/3 in x 1.560 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (exp x) (exp (- x))))) in x 1.560 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 1.560 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.560 * [taylor]: Taking taylor expansion of (exp x) in x 1.560 * [taylor]: Taking taylor expansion of x in x 1.560 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.560 * [taylor]: Taking taylor expansion of (- x) in x 1.560 * [taylor]: Taking taylor expansion of x in x 1.635 * [approximate]: Taking taylor expansion of (* (cbrt 2.0) (pow (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1/3)) in (x) around 0 1.635 * [taylor]: Taking taylor expansion of (* (cbrt 2.0) (pow (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1/3)) in x 1.635 * [taylor]: Taking taylor expansion of (cbrt 2.0) in x 1.635 * [taylor]: Taking taylor expansion of 2.0 in x 1.636 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1/3) in x 1.636 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) in x 1.636 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 1.636 * [taylor]: Taking taylor expansion of 1/3 in x 1.636 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.636 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.636 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.636 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.636 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.636 * [taylor]: Taking taylor expansion of x in x 1.637 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.637 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.637 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.637 * [taylor]: Taking taylor expansion of x in x 1.638 * [taylor]: Taking taylor expansion of (* (cbrt 2.0) (pow (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1/3)) in x 1.638 * [taylor]: Taking taylor expansion of (cbrt 2.0) in x 1.638 * [taylor]: Taking taylor expansion of 2.0 in x 1.638 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1/3) in x 1.638 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) in x 1.638 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 1.638 * [taylor]: Taking taylor expansion of 1/3 in x 1.638 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.639 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.639 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.639 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.639 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.639 * [taylor]: Taking taylor expansion of x in x 1.639 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.639 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.639 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.639 * [taylor]: Taking taylor expansion of x in x 1.700 * [approximate]: Taking taylor expansion of (* (cbrt 2.0) (pow (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 1/3)) in (x) around 0 1.700 * [taylor]: Taking taylor expansion of (* (cbrt 2.0) (pow (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 1/3)) in x 1.700 * [taylor]: Taking taylor expansion of (cbrt 2.0) in x 1.700 * [taylor]: Taking taylor expansion of 2.0 in x 1.701 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 1/3) in x 1.701 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) in x 1.701 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 1.701 * [taylor]: Taking taylor expansion of 1/3 in x 1.701 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.701 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.701 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.701 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.701 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.701 * [taylor]: Taking taylor expansion of x in x 1.701 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.701 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.701 * [taylor]: Taking taylor expansion of -1 in x 1.701 * [taylor]: Taking taylor expansion of x in x 1.702 * [taylor]: Taking taylor expansion of (* (cbrt 2.0) (pow (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 1/3)) in x 1.702 * [taylor]: Taking taylor expansion of (cbrt 2.0) in x 1.702 * [taylor]: Taking taylor expansion of 2.0 in x 1.703 * [taylor]: Taking taylor expansion of (pow (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 1/3) in x 1.703 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) in x 1.703 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 1.703 * [taylor]: Taking taylor expansion of 1/3 in x 1.703 * [taylor]: Taking taylor expansion of (log (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.703 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.703 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.703 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.703 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.703 * [taylor]: Taking taylor expansion of x in x 1.703 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.703 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.703 * [taylor]: Taking taylor expansion of -1 in x 1.703 * [taylor]: Taking taylor expansion of x in x 1.756 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.756 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in (x) around 0 1.756 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 1.756 * [taylor]: Taking taylor expansion of 2.0 in x 1.756 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.756 * [taylor]: Taking taylor expansion of (exp x) in x 1.756 * [taylor]: Taking taylor expansion of x in x 1.756 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.756 * [taylor]: Taking taylor expansion of (- x) in x 1.756 * [taylor]: Taking taylor expansion of x in x 1.757 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 1.757 * [taylor]: Taking taylor expansion of 2.0 in x 1.757 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.757 * [taylor]: Taking taylor expansion of (exp x) in x 1.757 * [taylor]: Taking taylor expansion of x in x 1.757 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.757 * [taylor]: Taking taylor expansion of (- x) in x 1.757 * [taylor]: Taking taylor expansion of x in x 1.787 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 1.787 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.787 * [taylor]: Taking taylor expansion of 2.0 in x 1.787 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.787 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.787 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.787 * [taylor]: Taking taylor expansion of x in x 1.787 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.787 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.787 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.787 * [taylor]: Taking taylor expansion of x in x 1.788 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.788 * [taylor]: Taking taylor expansion of 2.0 in x 1.788 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.788 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.788 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.788 * [taylor]: Taking taylor expansion of x in x 1.788 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.788 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.788 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.788 * [taylor]: Taking taylor expansion of x in x 1.794 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 1.794 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.794 * [taylor]: Taking taylor expansion of 2.0 in x 1.794 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.794 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.794 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.794 * [taylor]: Taking taylor expansion of x in x 1.794 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.794 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.794 * [taylor]: Taking taylor expansion of -1 in x 1.794 * [taylor]: Taking taylor expansion of x in x 1.795 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.795 * [taylor]: Taking taylor expansion of 2.0 in x 1.795 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.795 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.795 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.795 * [taylor]: Taking taylor expansion of x in x 1.795 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.795 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.795 * [taylor]: Taking taylor expansion of -1 in x 1.795 * [taylor]: Taking taylor expansion of x in x 1.800 * * * [progress]: simplifying candidates 1.802 * [simplify]: Simplifying using # : (expm1 (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (log1p (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (log (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (exp (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (cbrt (* (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))))) (cbrt (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (cbrt (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (cbrt (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (cbrt (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (cbrt (/ (cbrt 2.0) (cbrt (+ (exp x) (exp (- x)))))) (cbrt (/ (* (cbrt 2.0) (cbrt 2.0)) (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ (cbrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ (* (cbrt 2.0) (cbrt 2.0)) 1)) (cbrt (/ (cbrt 2.0) (+ (exp x) (exp (- x))))) (cbrt (/ (* (cbrt 2.0) (cbrt 2.0)) 1)) (cbrt (/ (cbrt 2.0) (+ (exp x) (exp (- x))))) (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) (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ (sqrt 2.0) 1)) (cbrt (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (cbrt (/ (sqrt 2.0) 1)) (cbrt (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (cbrt (/ 1 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (cbrt (/ 2.0 (cbrt (+ (exp x) (exp (- x)))))) (cbrt (/ 1 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 2.0 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 1 1)) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 1 1)) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt 1) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt 2.0) (cbrt (/ 1 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (cbrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (cbrt (/ 2.0 (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (cbrt (- (exp x) (exp (- x)))) (cbrt 2.0) (cbrt (+ (exp x) (exp (- x)))) (* (cbrt (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (cbrt (cbrt (/ 2.0 (+ (exp x) (exp (- x))))))) (cbrt (cbrt (/ 2.0 (+ (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)))))) (sqrt (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (sqrt (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (expm1 (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (log1p (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (log (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (exp (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (cbrt (* (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))))) (cbrt (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (cbrt (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (cbrt (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (cbrt (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (cbrt (/ (cbrt 2.0) (cbrt (+ (exp x) (exp (- x)))))) (cbrt (/ (* (cbrt 2.0) (cbrt 2.0)) (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ (cbrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ (* (cbrt 2.0) (cbrt 2.0)) 1)) (cbrt (/ (cbrt 2.0) (+ (exp x) (exp (- x))))) (cbrt (/ (* (cbrt 2.0) (cbrt 2.0)) 1)) (cbrt (/ (cbrt 2.0) (+ (exp x) (exp (- x))))) (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) (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ (sqrt 2.0) 1)) (cbrt (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (cbrt (/ (sqrt 2.0) 1)) (cbrt (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (cbrt (/ 1 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (cbrt (/ 2.0 (cbrt (+ (exp x) (exp (- x)))))) (cbrt (/ 1 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 2.0 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 1 1)) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 1 1)) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt 1) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt 2.0) (cbrt (/ 1 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (cbrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (cbrt (/ 2.0 (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (cbrt (- (exp x) (exp (- x)))) (cbrt 2.0) (cbrt (+ (exp x) (exp (- x)))) (* (cbrt (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (cbrt (cbrt (/ 2.0 (+ (exp x) (exp (- x))))))) (cbrt (cbrt (/ 2.0 (+ (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)))))) (sqrt (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (sqrt (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (expm1 (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (log1p (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (log (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (exp (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (cbrt (* (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))))) (cbrt (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (cbrt (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (cbrt (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (cbrt (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (cbrt (/ (cbrt 2.0) (cbrt (+ (exp x) (exp (- x)))))) (cbrt (/ (* (cbrt 2.0) (cbrt 2.0)) (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ (cbrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ (* (cbrt 2.0) (cbrt 2.0)) 1)) (cbrt (/ (cbrt 2.0) (+ (exp x) (exp (- x))))) (cbrt (/ (* (cbrt 2.0) (cbrt 2.0)) 1)) (cbrt (/ (cbrt 2.0) (+ (exp x) (exp (- x))))) (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) (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ (sqrt 2.0) 1)) (cbrt (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (cbrt (/ (sqrt 2.0) 1)) (cbrt (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (cbrt (/ 1 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (cbrt (/ 2.0 (cbrt (+ (exp x) (exp (- x)))))) (cbrt (/ 1 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 2.0 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 1 1)) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 1 1)) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt 1) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt 2.0) (cbrt (/ 1 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (cbrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (cbrt (/ 2.0 (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (cbrt (- (exp x) (exp (- x)))) (cbrt 2.0) (cbrt (+ (exp x) (exp (- x)))) (* (cbrt (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (cbrt (cbrt (/ 2.0 (+ (exp x) (exp (- x))))))) (cbrt (cbrt (/ 2.0 (+ (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)))))) (sqrt (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (sqrt (cbrt (/ 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))))) (- (+ (* 1/24 (* (* (cbrt 2.0) (pow x 4)) (pow 1/2 1/3))) (* (cbrt 2.0) (pow 1/2 1/3))) (* 1/6 (* (* (cbrt 2.0) (pow x 2)) (pow 1/2 1/3)))) (* (cbrt 2.0) (pow (/ 1 (+ (exp x) (exp (- x)))) 1/3)) (* (cbrt 2.0) (pow (/ 1 (+ (exp (* -1 x)) (exp x))) 1/3)) (- (+ (* 1/24 (* (* (cbrt 2.0) (pow x 4)) (pow 1/2 1/3))) (* (cbrt 2.0) (pow 1/2 1/3))) (* 1/6 (* (* (cbrt 2.0) (pow x 2)) (pow 1/2 1/3)))) (* (cbrt 2.0) (pow (/ 1 (+ (exp x) (exp (- x)))) 1/3)) (* (cbrt 2.0) (pow (/ 1 (+ (exp (* -1 x)) (exp x))) 1/3)) (- (+ (* 1/24 (* (* (cbrt 2.0) (pow x 4)) (pow 1/2 1/3))) (* (cbrt 2.0) (pow 1/2 1/3))) (* 1/6 (* (* (cbrt 2.0) (pow x 2)) (pow 1/2 1/3)))) (* (cbrt 2.0) (pow (/ 1 (+ (exp x) (exp (- x)))) 1/3)) (* (cbrt 2.0) (pow (/ 1 (+ (exp (* -1 x)) (exp x))) 1/3)) (- (+ (* 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))) 1.809 * * [simplify]: iteration 0 : 267 enodes (cost 1472 ) 1.814 * * [simplify]: iteration 1 : 850 enodes (cost 1404 ) 1.832 * * [simplify]: iteration 2 : 4028 enodes (cost 1379 ) 1.952 * * [simplify]: iteration 3 : 5001 enodes (cost 1379 ) 1.958 * [simplify]: Simplified to: (expm1 (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (log1p (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (log (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (exp (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (cbrt (* (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))))) (cbrt (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (cbrt (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (cbrt (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (cbrt (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (cbrt (/ (cbrt 2.0) (cbrt (+ (exp x) (exp (- x)))))) (cbrt (/ (* (cbrt 2.0) (cbrt 2.0)) (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ (cbrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ (* (cbrt 2.0) (cbrt 2.0)) 1)) (cbrt (/ (cbrt 2.0) (+ (exp x) (exp (- x))))) (cbrt (/ (* (cbrt 2.0) (cbrt 2.0)) 1)) (cbrt (/ (cbrt 2.0) (+ (exp x) (exp (- x))))) (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) (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ (sqrt 2.0) 1)) (cbrt (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (cbrt (/ (sqrt 2.0) 1)) (cbrt (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (cbrt (/ 1 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (cbrt (/ 2.0 (cbrt (+ (exp x) (exp (- x)))))) (cbrt (/ 1 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(cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))))) (cbrt (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (cbrt (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (cbrt (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))) (cbrt (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (cbrt (/ (cbrt 2.0) (cbrt (+ (exp x) (exp (- x)))))) (cbrt (/ (* (cbrt 2.0) (cbrt 2.0)) (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ (cbrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ (* (cbrt 2.0) (cbrt 2.0)) 1)) (cbrt (/ (cbrt 2.0) (+ (exp x) (exp (- x))))) (cbrt (/ (* (cbrt 2.0) (cbrt 2.0)) 1)) (cbrt (/ (cbrt 2.0) (+ (exp x) (exp (- x))))) (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) (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ (sqrt 2.0) 1)) (cbrt (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (cbrt (/ (sqrt 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(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 (* -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 1/2 1/3) (- (fma (* 1/24 (pow x 4)) (cbrt 2.0) (cbrt 2.0)) (* 1/6 (* (cbrt 2.0) (pow x 2))))) (* (cbrt 2.0) (pow (/ 1 (+ (exp (* -1 x)) (exp x))) 1/3)) (* (cbrt 2.0) (pow (/ 1 (+ (exp (* -1 x)) (exp x))) 1/3)) (* (pow 1/2 1/3) (- (fma (* 1/24 (pow x 4)) (cbrt 2.0) (cbrt 2.0)) (* 1/6 (* (cbrt 2.0) (pow x 2))))) (* (cbrt 2.0) (pow (/ 1 (+ (exp (* -1 x)) (exp x))) 1/3)) (* (cbrt 2.0) (pow (/ 1 (+ (exp (* -1 x)) (exp x))) 1/3)) (* (pow 1/2 1/3) (- (fma (* 1/24 (pow x 4)) (cbrt 2.0) (cbrt 2.0)) (* 1/6 (* (cbrt 2.0) (pow x 2))))) (* (cbrt 2.0) (pow (/ 1 (+ (exp (* -1 x)) (exp x))) 1/3)) (* (cbrt 2.0) (pow (/ 1 (+ (exp (* -1 x)) (exp x))) 1/3)) (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))) 1.959 * * * [progress]: adding candidates to table 2.374 * [progress]: [Phase 3 of 3] Extracting. 2.375 * * [regime]: Finding splitpoints for: (# #) 2.375 * * * [regime-changes]: Trying 3 branch expressions: ((+ (exp x) (exp (- x))) (/ 2.0 (+ (exp x) (exp (- x)))) x) 2.375 * * * * [regimes]: Trying to branch on (+ (exp x) (exp (- x))) from (# #) 2.390 * * * * [regimes]: Trying to branch on (/ 2.0 (+ (exp x) (exp (- x)))) from (# #) 2.405 * * * * [regimes]: Trying to branch on x from (# #) 2.416 * * * [regime]: Found split indices: #