11.000 * [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)))) 0.017 * * [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 ) 0.021 * * [simplify]: iteration 3 : 15 enodes (cost 5 ) 0.022 * * [simplify]: iteration 4 : 20 enodes (cost 5 ) 0.023 * * [simplify]: iteration 5 : 41 enodes (cost 5 ) 0.025 * * [simplify]: iteration 6 : 66 enodes (cost 5 ) 0.027 * * [simplify]: iteration 7 : 165 enodes (cost 5 ) 0.034 * * [simplify]: iteration 8 : 1123 enodes (cost 5 ) 0.228 * * [simplify]: iteration 9 : 5001 enodes (cost 5 ) 0.230 * [simplify]: Simplified to: (/ 2.0 (+ (exp x) (exp (- x)))) 0.230 * * [progress]: iteration 1 / 4 0.230 * * * [progress]: picking best candidate 0.235 * * * * [pick]: Picked # 0.235 * * * [progress]: localizing error 0.241 * * * [progress]: generating rewritten candidates 0.241 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.245 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.253 * * * [progress]: generating series expansions 0.253 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.253 * [approximate]: Taking taylor expansion of (+ (exp x) (exp (- x))) in (x) around 0 0.253 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.253 * [taylor]: Taking taylor expansion of (exp x) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.253 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.253 * [taylor]: Taking taylor expansion of (- x) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.254 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.254 * [taylor]: Taking taylor expansion of (exp x) in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.254 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.254 * [taylor]: Taking taylor expansion of (- x) in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.269 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in (x) around 0 0.269 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.269 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.269 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.269 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.270 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.270 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.273 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in (x) around 0 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 0.273 * [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 -1 in x 0.273 * [taylor]: Taking taylor expansion of x 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 in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.276 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.276 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in (x) around 0 0.276 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 0.276 * [taylor]: Taking taylor expansion of 2.0 in x 0.276 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.276 * [taylor]: Taking taylor expansion of (exp x) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.276 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.276 * [taylor]: Taking taylor expansion of (- x) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 0.277 * [taylor]: Taking taylor expansion of 2.0 in x 0.277 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.277 * [taylor]: Taking taylor expansion of (exp x) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.277 * [taylor]: Taking taylor expansion of (- x) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.301 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 0.301 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.301 * [taylor]: Taking taylor expansion of 2.0 in x 0.301 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.301 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.301 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.301 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.301 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.302 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.302 * [taylor]: Taking taylor expansion of 2.0 in x 0.302 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.302 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.303 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.303 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.308 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 0.308 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.308 * [taylor]: Taking taylor expansion of 2.0 in x 0.308 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.308 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.309 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.309 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.309 * [taylor]: Taking taylor expansion of -1 in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.309 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.309 * [taylor]: Taking taylor expansion of 2.0 in x 0.309 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.309 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.309 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.309 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.309 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.310 * [taylor]: Taking taylor expansion of -1 in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.314 * * * [progress]: simplifying candidates 0.315 * [simplify]: Simplifying using # : (expm1 (+ (exp x) (exp (- x)))) (log1p (+ (exp x) (exp (- x)))) (* (exp (exp x)) (exp (exp (- x)))) (log (+ (exp x) (exp (- x)))) (exp (+ (exp x) (exp (- x)))) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))) (cbrt (+ (exp x) (exp (- x)))) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x)))) (+ (pow (exp x) 3) (pow (exp (- x)) 3)) (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))) (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))) (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))) (expm1 (/ 2.0 (+ (exp x) (exp (- x))))) (log1p (/ 2.0 (+ (exp x) (exp (- x))))) (- (log 2.0) (log (+ (exp x) (exp (- x))))) (log (/ 2.0 (+ (exp x) (exp (- x))))) (exp (/ 2.0 (+ (exp x) (exp (- x))))) (/ (* (* 2.0 2.0) 2.0) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x))))) (* (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (* (* (/ 2.0 (+ (exp x) (exp (- x)))) (/ 2.0 (+ (exp x) (exp (- x))))) (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (- 2.0) (- (+ (exp x) (exp (- x)))) (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (cbrt 2.0) (cbrt (+ (exp x) (exp (- x))))) (/ (* (cbrt 2.0) (cbrt 2.0)) (sqrt (+ (exp x) (exp (- x))))) (/ (cbrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ (* (cbrt 2.0) (cbrt 2.0)) 1) (/ (cbrt 2.0) (+ (exp x) (exp (- x)))) (/ (* (cbrt 2.0) (cbrt 2.0)) 1) (/ (cbrt 2.0) (+ (exp x) (exp (- x)))) (/ (sqrt 2.0) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2.0) (cbrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) 1) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) (/ (sqrt 2.0) 1) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) (/ 1 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ 2.0 (cbrt (+ (exp x) (exp (- x))))) (/ 1 (sqrt (+ (exp x) (exp (- x))))) (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (/ 1 1) (/ 2.0 (+ (exp x) (exp (- x)))) (/ 1 1) (/ 2.0 (+ (exp x) (exp (- x)))) (/ 1 (+ (exp x) (exp (- x)))) (/ (+ (exp x) (exp (- x))) 2.0) (/ 2.0 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (/ 2.0 1) (/ 2.0 1) (/ (+ (exp x) (exp (- x))) (cbrt 2.0)) (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (/ (+ (exp x) (exp (- x))) 2.0) (/ 2.0 (+ (pow (exp x) 3) (pow (exp (- x)) 3))) (/ 2.0 (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))) (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) (+ (exp x) (exp (- x))) (+ (exp (* -1 x)) (exp x)) (- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2))) (/ 2.0 (+ (exp x) (exp (- x)))) (/ 2.0 (+ (exp (* -1 x)) (exp x))) 0.324 * * [simplify]: iteration 0 : 200 enodes (cost 433 ) 0.328 * * [simplify]: iteration 1 : 666 enodes (cost 397 ) 0.341 * * [simplify]: iteration 2 : 3139 enodes (cost 394 ) 0.441 * * [simplify]: iteration 3 : 5001 enodes (cost 393 ) 0.443 * [simplify]: Simplified to: (expm1 (+ (exp x) (exp (- x)))) (log1p (+ (exp x) (exp (- x)))) (exp (+ (exp x) (exp (- x)))) (log (+ (exp (* -1 x)) (exp x))) (exp (+ (exp x) (exp (- x)))) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))) (cbrt (+ (exp x) (exp (- x)))) (pow (+ (exp (* -1 x)) (exp x)) 3) (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x)))) (+ (pow (exp x) 3) (pow (exp (- x)) 3)) (fma (exp x) (exp x) (expm1 (* x -2))) (fma (- (exp (- x))) (exp (* -1 x)) (exp (+ x x))) (- (exp x) (exp (- x))) (+ (exp (* -1 x)) (exp x)) (expm1 (/ 2.0 (+ (exp x) (exp (- x))))) (log1p (/ 2.0 (+ (exp x) (exp (- x))))) (log (/ 2.0 (+ (exp x) (exp (- x))))) (log (/ 2.0 (+ (exp x) (exp (- x))))) (exp (/ 2.0 (+ (exp x) (exp (- x))))) (pow (/ 2.0 (+ (exp (* -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 x x (fma 1/12 (pow x 4) 2)) (+ (exp (* -1 x)) (exp x)) (+ (exp (* -1 x)) (exp 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))) 0.444 * * * [progress]: adding candidates to table 0.541 * [progress]: [Phase 3 of 3] Extracting. 0.542 * [simplify]: Simplifying using # : (/ 2.0 (+ (exp x) (exp (- x)))) 0.543 * * [simplify]: iteration 0 : 8 enodes (cost 5 ) 0.543 * * [simplify]: iteration 1 : 8 enodes (cost 5 ) 0.543 * [simplify]: Simplified to: (/ 2.0 (+ (exp x) (exp (- x)))) 0.934 * [regime-testing]: End program error score: 0.008199145205740863