10.447 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (/ 2.0 (+ (exp x) (exp (- x)))) 0.016 * * [simplify]: iteration 0 : 10 enodes (cost 5 ) 0.018 * * [simplify]: iteration 1 : 12 enodes (cost 5 ) 0.019 * * [simplify]: iteration 2 : 14 enodes (cost 5 ) 0.020 * * [simplify]: iteration 3 : 15 enodes (cost 5 ) 0.021 * * [simplify]: iteration 4 : 20 enodes (cost 5 ) 0.023 * * [simplify]: iteration 5 : 41 enodes (cost 5 ) 0.024 * * [simplify]: iteration 6 : 66 enodes (cost 5 ) 0.026 * * [simplify]: iteration 7 : 165 enodes (cost 5 ) 0.033 * * [simplify]: iteration 8 : 1123 enodes (cost 5 ) 0.230 * * [simplify]: iteration 9 : 5001 enodes (cost 5 ) 0.231 * [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) 0.246 * * * [progress]: generating series expansions 0.246 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.247 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in (x) around 0 0.247 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 0.247 * [taylor]: Taking taylor expansion of 2.0 in x 0.247 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.247 * [taylor]: Taking taylor expansion of (exp x) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.247 * [taylor]: Taking taylor expansion of (- x) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.248 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 0.248 * [taylor]: Taking taylor expansion of 2.0 in x 0.248 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.248 * [taylor]: Taking taylor expansion of (exp x) in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.248 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.248 * [taylor]: Taking taylor expansion of (- x) in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.275 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 0.275 * [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 0.276 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.276 * [taylor]: Taking taylor expansion of 2.0 in x 0.276 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.276 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.276 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.276 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.276 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.276 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.282 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 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 0.283 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.283 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.283 * [taylor]: Taking taylor expansion of -1 in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.283 * [taylor]: Taking taylor expansion of 2.0 in x 0.283 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.283 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.283 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.284 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.284 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.284 * [taylor]: Taking taylor expansion of -1 in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.289 * * * [progress]: simplifying candidates 0.289 * [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))) 0.293 * * [simplify]: iteration 0 : 167 enodes (cost 323 ) 0.297 * * [simplify]: iteration 1 : 568 enodes (cost 300 ) 0.306 * * [simplify]: iteration 2 : 2220 enodes (cost 299 ) 0.360 * * [simplify]: iteration 3 : 5001 enodes (cost 299 ) 0.362 * [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))) 0.362 * * * [progress]: adding candidates to table 0.425 * * [progress]: iteration 2 / 4 0.425 * * * [progress]: picking best candidate 0.427 * * * * [pick]: Picked # 0.427 * * * [progress]: localizing error 0.435 * * * [progress]: generating rewritten candidates 0.435 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.444 * * * [progress]: generating series expansions 0.444 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.444 * [approximate]: Taking taylor expansion of (* 2.0 (sqrt (/ 1 (+ (exp x) (exp (- x)))))) in (x) around 0 0.444 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt (/ 1 (+ (exp x) (exp (- x)))))) in x 0.444 * [taylor]: Taking taylor expansion of 2.0 in x 0.444 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (- x))))) in x 0.444 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 0.444 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.444 * [taylor]: Taking taylor expansion of (exp x) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.444 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.444 * [taylor]: Taking taylor expansion of (- x) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.448 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt (/ 1 (+ (exp x) (exp (- x)))))) in x 0.448 * [taylor]: Taking taylor expansion of 2.0 in x 0.448 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (- x))))) in x 0.448 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 0.448 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.448 * [taylor]: Taking taylor expansion of (exp x) in x 0.448 * [taylor]: Taking taylor expansion of x in x 0.448 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.448 * [taylor]: Taking taylor expansion of (- x) in x 0.448 * [taylor]: Taking taylor expansion of x in x 0.499 * [approximate]: Taking taylor expansion of (* 2.0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in (x) around 0 0.499 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 0.499 * [taylor]: Taking taylor expansion of 2.0 in x 0.499 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 0.499 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.499 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.499 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.499 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.499 * [taylor]: Taking taylor expansion of 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 0.500 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.501 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt (/ 1 (+ (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 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 0.501 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 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 0.501 * [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 x) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.515 * [approximate]: Taking taylor expansion of (* 2.0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in (x) around 0 0.516 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 0.516 * [taylor]: Taking taylor expansion of 2.0 in x 0.516 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 0.516 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.516 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.516 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.516 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.516 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.516 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.516 * [taylor]: Taking taylor expansion of -1 in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.517 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 0.517 * [taylor]: Taking taylor expansion of 2.0 in x 0.517 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 0.517 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.517 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.517 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.517 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.517 * [taylor]: Taking taylor expansion of x in x 0.517 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.517 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.517 * [taylor]: Taking taylor expansion of -1 in x 0.518 * [taylor]: Taking taylor expansion of x in x 0.531 * * * [progress]: simplifying candidates 0.532 * [simplify]: Simplifying using # : (expm1 (/ 2.0 (sqrt (+ (exp x) (exp (- x)))))) (log1p (/ 2.0 (sqrt (+ (exp x) (exp (- x)))))) (- (log 2.0) (log (sqrt (+ (exp x) (exp (- x)))))) (log (/ 2.0 (sqrt (+ (exp x) (exp (- x)))))) (exp (/ 2.0 (sqrt (+ (exp x) (exp (- x)))))) (/ (* (* 2.0 2.0) 2.0) (* (* (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))) (* (cbrt (/ 2.0 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 2.0 (sqrt (+ (exp x) (exp (- x))))))) (cbrt (/ 2.0 (sqrt (+ (exp x) (exp (- x)))))) (* (* (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (/ 2.0 (sqrt (+ (exp x) (exp (- x)))))) (/ 2.0 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (/ 2.0 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (/ 2.0 (sqrt (+ (exp x) (exp (- x)))))) (- 2.0) (- (sqrt (+ (exp x) (exp (- x))))) (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (/ (cbrt 2.0) (cbrt (sqrt (+ (exp x) (exp (- x)))))) (/ (* (cbrt 2.0) (cbrt 2.0)) (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (/ (cbrt 2.0) (sqrt (cbrt (+ (exp x) (exp (- x)))))) (/ (* (cbrt 2.0) (cbrt 2.0)) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (cbrt 2.0) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (* (cbrt 2.0) (cbrt 2.0)) (sqrt 1)) (/ (cbrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ (* (cbrt 2.0) (cbrt 2.0)) (sqrt 1)) (/ (cbrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ (* (cbrt 2.0) (cbrt 2.0)) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (cbrt 2.0) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (* (cbrt 2.0) (cbrt 2.0)) 1) (/ (cbrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (/ (sqrt 2.0) (cbrt (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2.0) (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (/ (sqrt 2.0) (sqrt (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2.0) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2.0) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2.0) (sqrt 1)) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) (sqrt 1)) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2.0) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2.0) 1) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ 1 (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (/ 2.0 (cbrt (sqrt (+ (exp x) (exp (- x)))))) (/ 1 (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (/ 2.0 (sqrt (cbrt (+ (exp x) (exp (- x)))))) (/ 1 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ 2.0 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ 1 (sqrt 1)) (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (/ 1 (sqrt 1)) (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (/ 1 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ 2.0 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ 1 1) (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (/ 1 (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (/ 2.0 (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (/ 2.0 (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (/ 2.0 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ 2.0 (sqrt 1)) (/ 2.0 (sqrt 1)) (/ 2.0 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ 2.0 1) (/ (sqrt (+ (exp x) (exp (- x)))) (cbrt 2.0)) (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (/ 2.0 (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (/ 2.0 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (- (+ (* 0.10416666666666667 (/ (pow x 4) (sqrt 1/2))) (* 2.0 (sqrt 1/2))) (+ (* 0.25 (/ (pow x 2) (sqrt 1/2))) (* 0.015625 (/ (pow x 4) (pow (sqrt 1/2) 3))))) (* 2.0 (sqrt (/ 1 (+ (exp x) (exp (- x)))))) (* 2.0 (sqrt (/ 1 (+ (exp (* -1 x)) (exp x))))) 0.536 * * [simplify]: iteration 0 : 209 enodes (cost 547 ) 0.540 * * [simplify]: iteration 1 : 622 enodes (cost 512 ) 0.551 * * [simplify]: iteration 2 : 2589 enodes (cost 493 ) 0.604 * * [simplify]: iteration 3 : 5002 enodes (cost 493 ) 0.607 * [simplify]: Simplified to: (expm1 (/ 2.0 (sqrt (+ (exp x) (exp (- x)))))) (log1p (/ 2.0 (sqrt (+ (exp x) (exp (- x)))))) (log (/ 2.0 (sqrt (+ (exp x) (exp (- x)))))) (log (/ 2.0 (sqrt (+ (exp x) (exp (- x)))))) (exp (/ 2.0 (sqrt (+ (exp x) (exp (- x)))))) (pow (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) 3) (* (cbrt (/ 2.0 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 2.0 (sqrt (+ (exp x) (exp (- x))))))) (cbrt (/ 2.0 (sqrt (+ (exp x) (exp (- x)))))) (pow (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) 3) (sqrt (/ 2.0 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (/ 2.0 (sqrt (+ (exp x) (exp (- x)))))) (- 2.0) (- (sqrt (+ (exp x) (exp (- x))))) (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (/ (cbrt 2.0) (cbrt (sqrt (+ (exp x) (exp (- x)))))) (/ (cbrt 2.0) (/ (fabs (cbrt (+ (exp x) (exp (- x))))) (cbrt 2.0))) (/ (cbrt 2.0) (sqrt (cbrt (+ (exp x) (exp (- x)))))) (/ (* (cbrt 2.0) (cbrt 2.0)) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (cbrt 2.0) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (* (cbrt 2.0) (cbrt 2.0)) (/ (cbrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (* (cbrt 2.0) (cbrt 2.0)) (/ (cbrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ (* (cbrt 2.0) (cbrt 2.0)) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (cbrt 2.0) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (* (cbrt 2.0) (cbrt 2.0)) (/ (cbrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (/ (sqrt 2.0) (cbrt (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2.0) (fabs (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2.0) (sqrt (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2.0) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2.0) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (sqrt 2.0) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (sqrt 2.0) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2.0) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (sqrt 2.0) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ 1 (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (/ 2.0 (cbrt (sqrt (+ (exp x) (exp (- x)))))) (/ 1 (* (fabs (cbrt (+ (exp x) (exp (- x))))) 1)) (/ 2.0 (sqrt (cbrt (+ (exp x) (exp (- x)))))) (/ 1 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ 2.0 (sqrt (sqrt (+ (exp x) (exp (- x)))))) 1 (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) 1 (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (/ 1 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ 2.0 (sqrt (sqrt (+ (exp x) (exp (- x)))))) 1 (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (/ 1 (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (/ 2.0 (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (/ 2.0 (fabs (cbrt (+ (exp x) (exp (- x)))))) (/ 2.0 (sqrt (sqrt (+ (exp x) (exp (- x)))))) 2.0 2.0 (/ 2.0 (sqrt (sqrt (+ (exp x) (exp (- x)))))) 2.0 (/ (sqrt (+ (exp x) (exp (- x)))) (cbrt 2.0)) (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (/ 2.0 (hypot (pow (exp (- x)) 3/2) (pow (exp x) 3/2))) (/ 2.0 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (fma 0.10416666666666667 (/ (pow x 4) (sqrt 1/2)) (- (* 2.0 (sqrt 1/2)) (fma 0.25 (/ (pow x 2) (sqrt 1/2)) (* 0.015625 (/ (pow x 4) (pow (sqrt 1/2) 3)))))) (* 2.0 (sqrt (/ 1 (+ (exp (* -1 x)) (exp x))))) (* 2.0 (sqrt (/ 1 (+ (exp (* -1 x)) (exp x))))) 0.608 * * * [progress]: adding candidates to table 0.698 * [progress]: [Phase 3 of 3] Extracting. 0.698 * * [regime]: Finding splitpoints for: (# #) 0.698 * * * [regime-changes]: Trying 3 branch expressions: ((+ (exp x) (exp (- x))) (/ 2.0 (+ (exp x) (exp (- x)))) x) 0.698 * * * * [regimes]: Trying to branch on (+ (exp x) (exp (- x))) from (# #) 0.711 * * * * [regimes]: Trying to branch on (/ 2.0 (+ (exp x) (exp (- x)))) from (# #) 0.725 * * * * [regimes]: Trying to branch on x from (# #) 0.735 * * * [regime]: Found split indices: #