8.222 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.011 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (/ 2.0 (+ (exp x) (exp (neg x)))) 0.074 * * [simplify]: iteration 0 : 4772 enodes (cost 8 ) 0.074 * * [simplify]: iteration 1 : 4772 enodes (cost 8 ) 0.074 * [simplify]: Simplified to: (/ 2.0 (+ (exp x) (exp (neg x)))) 0.074 * * [progress]: iteration 1 / 4 0.075 * * * [progress]: picking best candidate 0.080 * * * * [pick]: Picked # 0.080 * * * [progress]: localizing error 0.086 * * * [progress]: generating rewritten candidates 0.087 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.091 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.098 * * * [progress]: generating series expansions 0.098 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.098 * [approximate]: Taking taylor expansion of (+ (exp (neg x)) (exp x)) in (x) around 0 0.098 * [taylor]: Taking taylor expansion of (+ (exp (neg x)) (exp x)) in x 0.098 * [taylor]: Taking taylor expansion of (exp (neg x)) in x 0.098 * [taylor]: Taking taylor expansion of (neg x) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of (exp x) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of (+ (exp (neg x)) (exp x)) in x 0.098 * [taylor]: Taking taylor expansion of (exp (neg x)) in x 0.098 * [taylor]: Taking taylor expansion of (neg x) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of (exp x) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.100 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))) in (x) around 0 0.100 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))) in x 0.100 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.100 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 x))) in x 0.100 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 0.100 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))) in x 0.100 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.100 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 x))) in x 0.100 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 0.101 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in (x) around 0 0.101 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.101 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.101 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.101 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.101 * [taylor]: Taking taylor expansion of -1 in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.101 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.101 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.101 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.101 * [taylor]: Taking taylor expansion of -1 in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.102 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.102 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (neg x)) (exp x))) in (x) around 0 0.102 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (neg x)) (exp x))) in x 0.102 * [taylor]: Taking taylor expansion of 2.0 in x 0.102 * [taylor]: Taking taylor expansion of (+ (exp (neg x)) (exp x)) in x 0.102 * [taylor]: Taking taylor expansion of (exp (neg x)) in x 0.102 * [taylor]: Taking taylor expansion of (neg x) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of (exp x) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (neg x)) (exp x))) in x 0.102 * [taylor]: Taking taylor expansion of 2.0 in x 0.102 * [taylor]: Taking taylor expansion of (+ (exp (neg x)) (exp x)) in x 0.102 * [taylor]: Taking taylor expansion of (exp (neg x)) in x 0.102 * [taylor]: Taking taylor expansion of (neg x) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of (exp x) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.104 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (neg (/ 1 x))))) in (x) around 0 0.104 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (neg (/ 1 x))))) in x 0.104 * [taylor]: Taking taylor expansion of 2.0 in x 0.104 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))) in x 0.104 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 x))) in x 0.104 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (neg (/ 1 x))))) in x 0.104 * [taylor]: Taking taylor expansion of 2.0 in x 0.104 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (neg (/ 1 x)))) in x 0.104 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of (exp (neg (/ 1 x))) in x 0.104 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.107 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 0.107 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.107 * [taylor]: Taking taylor expansion of 2.0 in x 0.107 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.107 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.107 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.107 * [taylor]: Taking taylor expansion of -1 in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.107 * [taylor]: Taking taylor expansion of 2.0 in x 0.107 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.107 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.107 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.107 * [taylor]: Taking taylor expansion of -1 in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.110 * * * [progress]: simplifying candidates 0.110 * [simplify]: Simplifying using # : (cosh x) (* (exp (exp x)) (exp (exp (neg x)))) (log (+ (exp x) (exp (neg x)))) (exp (+ (exp x) (exp (neg x)))) (* (cbrt (+ (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x))))) (cbrt (+ (exp x) (exp (neg x)))) (* (* (+ (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x)))) (sqrt (+ (exp x) (exp (neg x)))) (sqrt (+ (exp x) (exp (neg x)))) (+ (pow (exp x) 3) (pow (exp (neg x)) 3)) (+ (* (exp x) (exp x)) (- (* (exp (neg x)) (exp (neg x))) (* (exp x) (exp (neg x))))) (- (* (exp x) (exp x)) (* (exp (neg x)) (exp (neg x)))) (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))) (- (log 2.0) (log (+ (exp x) (exp (neg x))))) (log (/ 2.0 (+ (exp x) (exp (neg x))))) (exp (/ 2.0 (+ (exp x) (exp (neg x))))) (/ (* (* 2.0 2.0) 2.0) (* (* (+ (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x))))) (* (cbrt (/ 2.0 (+ (exp x) (exp (neg x))))) (cbrt (/ 2.0 (+ (exp x) (exp (neg x)))))) (cbrt (/ 2.0 (+ (exp x) (exp (neg x))))) (* (* (/ 2.0 (+ (exp x) (exp (neg x)))) (/ 2.0 (+ (exp x) (exp (neg x))))) (/ 2.0 (+ (exp x) (exp (neg x))))) (sqrt (/ 2.0 (+ (exp x) (exp (neg x))))) (sqrt (/ 2.0 (+ (exp x) (exp (neg x))))) (neg 2.0) (neg (+ (exp x) (exp (neg x)))) (/ (* (cbrt 2.0) (cbrt 2.0)) 2) (/ (cbrt 2.0) (cosh x)) (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt (+ (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x)))))) (/ (cbrt 2.0) (cbrt (+ (exp x) (exp (neg x))))) (/ (* (cbrt 2.0) (cbrt 2.0)) (sqrt (+ (exp x) (exp (neg x))))) (/ (cbrt 2.0) (sqrt (+ (exp x) (exp (neg x))))) (/ (* (cbrt 2.0) (cbrt 2.0)) 1) (/ (cbrt 2.0) (+ (exp x) (exp (neg x)))) (/ (* (cbrt 2.0) (cbrt 2.0)) 1) (/ (cbrt 2.0) (+ (exp x) (exp (neg x)))) (/ (sqrt 2.0) 2) (/ (sqrt 2.0) (cosh x)) (/ (sqrt 2.0) (* (cbrt (+ (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x)))))) (/ (sqrt 2.0) (cbrt (+ (exp x) (exp (neg x))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x))))) (/ (sqrt 2.0) 1) (/ (sqrt 2.0) (+ (exp x) (exp (neg x)))) (/ (sqrt 2.0) 1) (/ (sqrt 2.0) (+ (exp x) (exp (neg x)))) (/ 1 2) (/ 2.0 (cosh x)) (/ 1 (* (cbrt (+ (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x)))))) (/ 2.0 (cbrt (+ (exp x) (exp (neg x))))) (/ 1 (sqrt (+ (exp x) (exp (neg x))))) (/ 2.0 (sqrt (+ (exp x) (exp (neg x))))) (/ 1 1) (/ 2.0 (+ (exp x) (exp (neg x)))) (/ 1 1) (/ 2.0 (+ (exp x) (exp (neg x)))) (/ 1 (+ (exp x) (exp (neg x)))) (/ (+ (exp x) (exp (neg x))) 2.0) (/ 2.0 2) (/ 2.0 (* (cbrt (+ (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x)))))) (/ 2.0 (sqrt (+ (exp x) (exp (neg x))))) (/ 2.0 1) (/ 2.0 1) (/ (+ (exp x) (exp (neg x))) (cbrt 2.0)) (/ (+ (exp x) (exp (neg x))) (sqrt 2.0)) (/ (+ (exp x) (exp (neg x))) 2.0) (/ 2.0 (+ (pow (exp x) 3) (pow (exp (neg x)) 3))) (/ 2.0 (- (* (exp x) (exp x)) (* (exp (neg x)) (exp (neg x))))) (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) (+ (exp (neg x)) (exp x)) (+ (exp (* -1 x)) (exp x)) (- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2))) (/ 2.0 (+ (exp (neg x)) (exp x))) (/ 2.0 (+ (exp (* -1 x)) (exp x))) 0.182 * * [simplify]: iteration 0 : 5322 enodes (cost 597 ) 0.184 * [simplify]: Simplified to: (cosh x) (exp (+ (exp x) (exp (neg x)))) (log (+ (exp x) (exp (neg x)))) (exp (+ (exp x) (exp (neg x)))) (* (cbrt (+ (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x))))) (cbrt (+ (exp x) (exp (neg x)))) (pow (+ (exp x) (exp (neg x))) 3) (sqrt (+ (exp x) (exp (neg x)))) (sqrt (+ (exp x) (exp (neg x)))) (+ (pow (exp x) 3) (pow (exp x) -3)) (+ (pow (exp x) 2) (+ (pow (exp x) -2) -1)) (- (pow (exp x) 2) (pow (exp x) -2)) (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))) (log (/ 2.0 (+ (exp x) (exp (neg x))))) (log (/ 2.0 (+ (exp x) (exp (neg x))))) (exp (/ 2.0 (+ (exp x) (exp (neg x))))) (pow (/ 2.0 (+ (exp x) (exp (neg x)))) 3) (* (cbrt (/ 2.0 (+ (exp x) (exp (neg x))))) (cbrt (/ 2.0 (+ (exp x) (exp (neg x)))))) (cbrt (/ 2.0 (+ (exp x) (exp (neg x))))) (pow (/ 2.0 (+ (exp x) (exp (neg x)))) 3) (sqrt (/ 2.0 (+ (exp x) (exp (neg x))))) (sqrt (/ 2.0 (+ (exp x) (exp (neg x))))) (neg 2.0) (- (/ -1 (exp x)) (exp x)) (* (cbrt 2.0) (/ (cbrt 2.0) 2)) (/ (cbrt 2.0) (cosh x)) (* (cbrt 2.0) (/ (cbrt 2.0) (* (cbrt (+ (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x))))))) (/ (cbrt 2.0) (cbrt (+ (exp x) (exp (neg x))))) (* (cbrt 2.0) (/ (cbrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))) (/ (cbrt 2.0) (sqrt (+ (exp x) (exp (neg x))))) (* (cbrt 2.0) (cbrt 2.0)) (/ (cbrt 2.0) (+ (exp x) (exp (neg x)))) (* (cbrt 2.0) (cbrt 2.0)) (/ (cbrt 2.0) (+ (exp x) (exp (neg x)))) (/ (sqrt 2.0) 2) (/ (sqrt 2.0) (cosh x)) (/ (sqrt 2.0) (* (cbrt (+ (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x)))))) (/ (sqrt 2.0) (cbrt (+ (exp x) (exp (neg x))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x))))) (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (neg x)))) (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (neg x)))) 1/2 (/ 2.0 (cosh x)) (/ 1 (* (cbrt (+ (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x)))))) (/ 2.0 (cbrt (+ (exp x) (exp (neg x))))) (/ 1 (sqrt (+ (exp x) (exp (neg x))))) (/ 2.0 (sqrt (+ (exp x) (exp (neg x))))) 1 (/ 2.0 (+ (exp x) (exp (neg x)))) 1 (/ 2.0 (+ (exp x) (exp (neg x)))) (/ 1 (+ (exp x) (exp (neg x)))) (/ (+ (exp x) (exp (neg x))) 2.0) (/ 2.0 2) (/ 2.0 (* (cbrt (+ (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x)))))) (/ 2.0 (sqrt (+ (exp x) (exp (neg x))))) 2.0 2.0 (/ (+ (exp x) (exp (neg x))) (cbrt 2.0)) (/ (+ (exp x) (exp (neg x))) (sqrt 2.0)) (/ (+ (exp x) (exp (neg x))) 2.0) (/ 2.0 (+ (pow (exp x) 3) (pow (exp x) -3))) (/ 2.0 (- (pow (exp x) 2) (pow (exp x) -2))) (+ 2 (+ (* x x) (* 1/12 (pow x 4)))) (+ (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))) (+ (* (pow x 4) 0.20833333333333334) (- 1.0 (* x (* x 0.5)))) (/ 2.0 (+ (exp x) (exp (neg x)))) (/ 2.0 (+ (exp x) (exp (neg x)))) 0.185 * * * [progress]: adding candidates to table 0.237 * [progress]: [Phase 3 of 3] Extracting. 0.239 * [simplify]: Simplifying using # : (/ 2.0 (+ (exp x) (exp (neg x)))) 0.240 * * [simplify]: iteration 0 : 15 enodes (cost 8 ) 0.240 * * [simplify]: iteration 1 : 15 enodes (cost 8 ) 0.240 * [simplify]: Simplified to: (/ 2.0 (+ (exp x) (exp (neg x)))) 0.751 * [regime-testing]: End program error score: 0.009751218902362795