8.541 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.020 * * * [progress]: [2/2] Setting up program. 0.022 * [progress]: [Phase 2 of 3] Improving. 0.022 * [simplify]: Simplifying using # : (/ 2.0 (+ (exp x) (exp (- x)))) 0.025 * * [simplify]: iteration 0 : 10 enodes (cost 5 ) 0.026 * * [simplify]: iteration 1 : 12 enodes (cost 5 ) 0.027 * * [simplify]: iteration 2 : 14 enodes (cost 5 ) 0.029 * * [simplify]: iteration 3 : 15 enodes (cost 5 ) 0.030 * * [simplify]: iteration 4 : 20 enodes (cost 5 ) 0.031 * * [simplify]: iteration 5 : 41 enodes (cost 5 ) 0.033 * * [simplify]: iteration 6 : 66 enodes (cost 5 ) 0.035 * * [simplify]: iteration 7 : 165 enodes (cost 5 ) 0.042 * * [simplify]: iteration 8 : 1123 enodes (cost 5 ) 0.239 * * [simplify]: iteration 9 : 5001 enodes (cost 5 ) 0.239 * [simplify]: Simplified to: (/ 2.0 (+ (exp x) (exp (- x)))) 0.239 * * [progress]: iteration 1 / 4 0.240 * * * [progress]: picking best candidate 0.241 * * * * [pick]: Picked # 0.241 * * * [progress]: localizing error 0.247 * * * [progress]: generating rewritten candidates 0.247 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.259 * * * [progress]: generating series expansions 0.259 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.259 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in (x) around 0 0.259 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 0.259 * [taylor]: Taking taylor expansion of 2.0 in x 0.259 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.259 * [taylor]: Taking taylor expansion of (exp x) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.259 * [taylor]: Taking taylor expansion of (- x) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 0.260 * [taylor]: Taking taylor expansion of 2.0 in x 0.260 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.260 * [taylor]: Taking taylor expansion of (exp x) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.261 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.261 * [taylor]: Taking taylor expansion of (- x) in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.287 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 0.287 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.288 * [taylor]: Taking taylor expansion of 2.0 in x 0.288 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.288 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.288 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.288 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.288 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.288 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.289 * [taylor]: Taking taylor expansion of 2.0 in x 0.289 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.289 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.289 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.289 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.289 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.295 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 0.295 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.295 * [taylor]: Taking taylor expansion of 2.0 in x 0.295 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.295 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.295 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.295 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.295 * [taylor]: Taking taylor expansion of -1 in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.296 * [taylor]: Taking taylor expansion of 2.0 in x 0.296 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.296 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.296 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.296 * [taylor]: Taking taylor expansion of -1 in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.301 * * * [progress]: simplifying candidates 0.302 * [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))) 0.306 * * [simplify]: iteration 0 : 167 enodes (cost 323 ) 0.309 * * [simplify]: iteration 1 : 568 enodes (cost 300 ) 0.319 * * [simplify]: iteration 2 : 2220 enodes (cost 299 ) 0.373 * * [simplify]: iteration 3 : 5001 enodes (cost 299 ) 0.374 * [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))) 0.375 * * * [progress]: adding candidates to table 0.456 * * [progress]: iteration 2 / 4 0.456 * * * [progress]: picking best candidate 0.461 * * * * [pick]: Picked # 0.461 * * * [progress]: localizing error 0.470 * * * [progress]: generating rewritten candidates 0.470 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.471 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 0.482 * * * [progress]: generating series expansions 0.483 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.483 * [approximate]: Taking taylor expansion of (expm1 (/ 2.0 (+ (exp x) (exp (- x))))) in (x) around 0 0.483 * [taylor]: Taking taylor expansion of (expm1 (/ 2.0 (+ (exp x) (exp (- x))))) in x 0.483 * [taylor]: Rewrote expression to (- (exp (/ 2.0 (+ (exp x) (exp (- x))))) 1) 0.483 * [taylor]: Taking taylor expansion of (exp (/ 2.0 (+ (exp x) (exp (- x))))) in x 0.483 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 0.483 * [taylor]: Taking taylor expansion of 2.0 in x 0.483 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.483 * [taylor]: Taking taylor expansion of (exp x) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.483 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.483 * [taylor]: Taking taylor expansion of (- x) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.485 * [taylor]: Taking taylor expansion of 1 in x 0.485 * [taylor]: Taking taylor expansion of (expm1 (/ 2.0 (+ (exp x) (exp (- x))))) in x 0.485 * [taylor]: Rewrote expression to (- (exp (/ 2.0 (+ (exp x) (exp (- x))))) 1) 0.485 * [taylor]: Taking taylor expansion of (exp (/ 2.0 (+ (exp x) (exp (- x))))) in x 0.485 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 0.485 * [taylor]: Taking taylor expansion of 2.0 in x 0.485 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.485 * [taylor]: Taking taylor expansion of (exp x) in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.485 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.485 * [taylor]: Taking taylor expansion of (- x) in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.486 * [taylor]: Taking taylor expansion of 1 in x 0.530 * [approximate]: Taking taylor expansion of (expm1 (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in (x) around 0 0.530 * [taylor]: Taking taylor expansion of (expm1 (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 0.530 * [taylor]: Rewrote expression to (- (exp (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 0.530 * [taylor]: Taking taylor expansion of (exp (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 0.530 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.530 * [taylor]: Taking taylor expansion of 2.0 in x 0.530 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.530 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.530 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.530 * [taylor]: Taking taylor expansion of x in x 0.530 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.530 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.530 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.530 * [taylor]: Taking taylor expansion of x in x 0.531 * [taylor]: Taking taylor expansion of 1 in x 0.531 * [taylor]: Taking taylor expansion of (expm1 (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 0.531 * [taylor]: Rewrote expression to (- (exp (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 1) 0.531 * [taylor]: Taking taylor expansion of (exp (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 0.531 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.531 * [taylor]: Taking taylor expansion of 2.0 in x 0.531 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.531 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.531 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.531 * [taylor]: Taking taylor expansion of x in x 0.532 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.532 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.532 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.532 * [taylor]: Taking taylor expansion of x in x 0.533 * [taylor]: Taking taylor expansion of 1 in x 0.554 * [approximate]: Taking taylor expansion of (expm1 (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in (x) around 0 0.555 * [taylor]: Taking taylor expansion of (expm1 (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 0.555 * [taylor]: Rewrote expression to (- (exp (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 0.555 * [taylor]: Taking taylor expansion of (exp (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 0.555 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.555 * [taylor]: Taking taylor expansion of 2.0 in x 0.555 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.555 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.555 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.555 * [taylor]: Taking taylor expansion of x in x 0.555 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.555 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.555 * [taylor]: Taking taylor expansion of -1 in x 0.555 * [taylor]: Taking taylor expansion of x in x 0.556 * [taylor]: Taking taylor expansion of 1 in x 0.556 * [taylor]: Taking taylor expansion of (expm1 (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 0.556 * [taylor]: Rewrote expression to (- (exp (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 1) 0.556 * [taylor]: Taking taylor expansion of (exp (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 0.556 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.556 * [taylor]: Taking taylor expansion of 2.0 in x 0.556 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.556 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.556 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.556 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.556 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.556 * [taylor]: Taking taylor expansion of -1 in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.557 * [taylor]: Taking taylor expansion of 1 in x 0.573 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 0.573 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in (x) around 0 0.573 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 0.573 * [taylor]: Taking taylor expansion of 2.0 in x 0.573 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.573 * [taylor]: Taking taylor expansion of (exp x) in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.573 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.573 * [taylor]: Taking taylor expansion of (- x) in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.575 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 0.575 * [taylor]: Taking taylor expansion of 2.0 in x 0.575 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.575 * [taylor]: Taking taylor expansion of (exp x) in x 0.575 * [taylor]: Taking taylor expansion of x in x 0.575 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.575 * [taylor]: Taking taylor expansion of (- x) in x 0.575 * [taylor]: Taking taylor expansion of x in x 0.597 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 0.597 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.597 * [taylor]: Taking taylor expansion of 2.0 in x 0.597 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.597 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.597 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.598 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.598 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.598 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.598 * [taylor]: Taking taylor expansion of x in x 0.598 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.598 * [taylor]: Taking taylor expansion of 2.0 in x 0.598 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.598 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.598 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.598 * [taylor]: Taking taylor expansion of x in x 0.599 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.599 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.599 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.599 * [taylor]: Taking taylor expansion of x in x 0.604 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 0.604 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.604 * [taylor]: Taking taylor expansion of 2.0 in x 0.604 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.604 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.604 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.604 * [taylor]: Taking taylor expansion of x in x 0.605 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.605 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.605 * [taylor]: Taking taylor expansion of -1 in x 0.605 * [taylor]: Taking taylor expansion of x in x 0.605 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.605 * [taylor]: Taking taylor expansion of 2.0 in x 0.605 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.605 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.605 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.605 * [taylor]: Taking taylor expansion of x in x 0.606 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.606 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.606 * [taylor]: Taking taylor expansion of -1 in x 0.606 * [taylor]: Taking taylor expansion of x in x 0.610 * * * [progress]: simplifying candidates 0.611 * [simplify]: Simplifying using # : (exp (/ 2.0 (+ (exp x) (exp (- x))))) (expm1 (expm1 (/ 2.0 (+ (exp x) (exp (- x)))))) (log1p (expm1 (/ 2.0 (+ (exp x) (exp (- x)))))) (log (expm1 (/ 2.0 (+ (exp x) (exp (- x)))))) (exp (expm1 (/ 2.0 (+ (exp x) (exp (- x)))))) (* (cbrt (expm1 (/ 2.0 (+ (exp x) (exp (- x)))))) (cbrt (expm1 (/ 2.0 (+ (exp x) (exp (- x))))))) (cbrt (expm1 (/ 2.0 (+ (exp x) (exp (- x)))))) (* (* (expm1 (/ 2.0 (+ (exp x) (exp (- x))))) (expm1 (/ 2.0 (+ (exp x) (exp (- x)))))) (expm1 (/ 2.0 (+ (exp x) (exp (- x)))))) (sqrt (expm1 (/ 2.0 (+ (exp x) (exp (- x)))))) (sqrt (expm1 (/ 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))))) (- (+ (exp 1.0) (* 0.33333333333333337 (* (exp 1.0) (pow x 4)))) (+ (* 0.5 (* (exp 1.0) (pow x 2))) 1)) (- (exp (/ 2.0 (+ (exp x) (exp (- x))))) 1) (- (exp (/ 2.0 (+ (exp (* -1 x)) (exp x)))) 1) (- (+ (* 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))) 0.616 * * [simplify]: iteration 0 : 210 enodes (cost 434 ) 0.619 * * [simplify]: iteration 1 : 696 enodes (cost 398 ) 0.632 * * [simplify]: iteration 2 : 2651 enodes (cost 396 ) 0.694 * * [simplify]: iteration 3 : 5002 enodes (cost 396 ) 0.696 * [simplify]: Simplified to: (exp (/ 2.0 (+ (exp (* -1 x)) (exp x)))) (expm1 (expm1 (/ 2.0 (+ (exp x) (exp (- x)))))) (/ 2.0 (+ (exp x) (exp (- x)))) (log (expm1 (/ 2.0 (+ (exp x) (exp (- x)))))) (exp (expm1 (/ 2.0 (+ (exp x) (exp (- x)))))) (* (cbrt (expm1 (/ 2.0 (+ (exp x) (exp (- x)))))) (cbrt (expm1 (/ 2.0 (+ (exp x) (exp (- x))))))) (cbrt (expm1 (/ 2.0 (+ (exp x) (exp (- x)))))) (pow (expm1 (/ 2.0 (+ (exp (* -1 x)) (exp x)))) 3) (sqrt (expm1 (/ 2.0 (+ (exp x) (exp (- x)))))) (sqrt (expm1 (/ 2.0 (+ (exp x) (exp (- x)))))) (expm1 (/ 2.0 (+ (exp (* -1 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 (* -1 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 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 (* 0.33333333333333337 (exp 1.0)) (pow x 4) (- (exp 1.0) (fma 0.5 (* (exp 1.0) (pow x 2)) 1))) (expm1 (/ 2.0 (+ (exp (* -1 x)) (exp x)))) (expm1 (/ 2.0 (+ (exp (* -1 x)) (exp x)))) (fma (pow x 4) 0.20833333333333334 (- 1.0 (* 0.5 (pow x 2)))) (/ 2.0 (+ (exp x) (exp (- x)))) (/ 2.0 (+ (exp x) (exp (- x)))) 0.696 * * * [progress]: adding candidates to table 0.832 * [progress]: [Phase 3 of 3] Extracting. 0.834 * [simplify]: Simplifying using # : (log1p (expm1 (/ 2.0 (+ (exp x) (exp (- x)))))) 0.835 * * [simplify]: iteration 0 : 10 enodes (cost 7 ) 0.835 * * [simplify]: iteration 1 : 10 enodes (cost 7 ) 0.835 * [simplify]: Simplified to: (log1p (expm1 (/ 2.0 (+ (exp x) (exp (- x)))))) 1.526 * [regime-testing]: End program error score: 0.008637921928372056