6.815 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.074 * * * [progress]: [2/2] Setting up program. 0.076 * [progress]: [Phase 2 of 3] Improving. 0.076 * [simplify]: Simplifying using # : (+ (- (exp x) 2.0) (exp (- x))) 0.078 * * [simplify]: iteration 0 : 14 enodes (cost 5 ) 0.079 * * [simplify]: iteration 1 : 26 enodes (cost 5 ) 0.081 * * [simplify]: iteration 2 : 41 enodes (cost 5 ) 0.082 * * [simplify]: iteration 3 : 55 enodes (cost 5 ) 0.083 * * [simplify]: iteration 4 : 67 enodes (cost 5 ) 0.085 * * [simplify]: iteration 5 : 104 enodes (cost 5 ) 0.087 * * [simplify]: iteration 6 : 161 enodes (cost 5 ) 0.090 * * [simplify]: iteration 7 : 344 enodes (cost 5 ) 0.099 * * [simplify]: iteration 8 : 1454 enodes (cost 5 ) 0.298 * * [simplify]: iteration 9 : 5001 enodes (cost 5 ) 0.299 * [simplify]: Simplified to: (+ (- (exp x) 2.0) (exp (- x))) 0.299 * * [progress]: iteration 1 / 4 0.299 * * * [progress]: picking best candidate 0.301 * * * * [pick]: Picked # 0.301 * * * [progress]: localizing error 0.307 * * * [progress]: generating rewritten candidates 0.307 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.318 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.325 * * * [progress]: generating series expansions 0.325 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.325 * [approximate]: Taking taylor expansion of (- (+ (exp x) (exp (- x))) 2.0) in (x) around 0 0.325 * [taylor]: Taking taylor expansion of (- (+ (exp x) (exp (- x))) 2.0) in x 0.325 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.325 * [taylor]: Taking taylor expansion of (exp x) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.325 * [taylor]: Taking taylor expansion of (- x) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of 2.0 in x 0.326 * [taylor]: Taking taylor expansion of (- (+ (exp x) (exp (- x))) 2.0) in x 0.326 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.326 * [taylor]: Taking taylor expansion of (exp x) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.326 * [taylor]: Taking taylor expansion of (- x) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of 2.0 in x 0.367 * [approximate]: Taking taylor expansion of (- (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 2.0) in (x) around 0 0.367 * [taylor]: Taking taylor expansion of (- (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 2.0) in x 0.367 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.367 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.367 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.367 * [taylor]: Taking taylor expansion of x in x 0.367 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.367 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.367 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.367 * [taylor]: Taking taylor expansion of x in x 0.368 * [taylor]: Taking taylor expansion of 2.0 in x 0.368 * [taylor]: Taking taylor expansion of (- (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 2.0) in x 0.368 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.368 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.368 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.368 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.368 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.368 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.369 * [taylor]: Taking taylor expansion of 2.0 in x 0.374 * [approximate]: Taking taylor expansion of (- (+ (exp (/ 1 x)) (exp (/ -1 x))) 2.0) in (x) around 0 0.374 * [taylor]: Taking taylor expansion of (- (+ (exp (/ 1 x)) (exp (/ -1 x))) 2.0) in x 0.374 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.374 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.375 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.375 * [taylor]: Taking taylor expansion of -1 in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of 2.0 in x 0.375 * [taylor]: Taking taylor expansion of (- (+ (exp (/ 1 x)) (exp (/ -1 x))) 2.0) in x 0.375 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.375 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.375 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.375 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.375 * [taylor]: Taking taylor expansion of -1 in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.376 * [taylor]: Taking taylor expansion of 2.0 in x 0.381 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.381 * [approximate]: Taking taylor expansion of (- (exp x) 2.0) in (x) around 0 0.381 * [taylor]: Taking taylor expansion of (- (exp x) 2.0) in x 0.381 * [taylor]: Taking taylor expansion of (exp x) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of 2.0 in x 0.381 * [taylor]: Taking taylor expansion of (- (exp x) 2.0) in x 0.381 * [taylor]: Taking taylor expansion of (exp x) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of 2.0 in x 0.385 * [approximate]: Taking taylor expansion of (- (exp (/ 1 x)) 2.0) in (x) around 0 0.385 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 2.0) in x 0.385 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.385 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.385 * [taylor]: Taking taylor expansion of 2.0 in x 0.385 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 2.0) in x 0.385 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.385 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.386 * [taylor]: Taking taylor expansion of 2.0 in x 0.389 * [approximate]: Taking taylor expansion of (- (exp (/ -1 x)) 2.0) in (x) around 0 0.389 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 2.0) in x 0.389 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.389 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.389 * [taylor]: Taking taylor expansion of -1 in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.389 * [taylor]: Taking taylor expansion of 2.0 in x 0.389 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 2.0) in x 0.389 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.389 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.390 * [taylor]: Taking taylor expansion of -1 in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.390 * [taylor]: Taking taylor expansion of 2.0 in x 0.393 * * * [progress]: simplifying candidates 0.398 * [simplify]: Simplifying using # : (expm1 (+ (- (exp x) 2.0) (exp (- x)))) (log1p (+ (- (exp x) 2.0) (exp (- x)))) (* (/ (exp (exp x)) (exp 2.0)) (exp (exp (- x)))) (* (exp (- (exp x) 2.0)) (exp (exp (- x)))) (log (+ (- (exp x) 2.0) (exp (- x)))) (exp (+ (- (exp x) 2.0) (exp (- x)))) (* (cbrt (+ (- (exp x) 2.0) (exp (- x)))) (cbrt (+ (- (exp x) 2.0) (exp (- x))))) (cbrt (+ (- (exp x) 2.0) (exp (- x)))) (* (* (+ (- (exp x) 2.0) (exp (- x))) (+ (- (exp x) 2.0) (exp (- x)))) (+ (- (exp x) 2.0) (exp (- x)))) (sqrt (+ (- (exp x) 2.0) (exp (- x)))) (sqrt (+ (- (exp x) 2.0) (exp (- x)))) (+ (* (- (pow (exp x) 3) (pow 2.0 3)) (exp x)) (* (+ (* (exp x) (exp x)) (+ (* 2.0 2.0) (* (exp x) 2.0))) 1)) (* (+ (* (exp x) (exp x)) (+ (* 2.0 2.0) (* (exp x) 2.0))) (exp x)) (+ (* (- (pow (exp x) 3) (pow 2.0 3)) (exp x)) (* (+ (* (exp x) (exp x)) (+ (* 2.0 2.0) (* (exp x) 2.0))) (exp 0))) (* (+ (* (exp x) (exp x)) (+ (* 2.0 2.0) (* (exp x) 2.0))) (exp x)) (+ (* (- (* (exp x) (exp x)) (* 2.0 2.0)) (exp x)) (* (+ (exp x) 2.0) 1)) (* (+ (exp x) 2.0) (exp x)) (+ (* (- (* (exp x) (exp x)) (* 2.0 2.0)) (exp x)) (* (+ (exp x) 2.0) (exp 0))) (* (+ (exp x) 2.0) (exp x)) (+ (pow (- (exp x) 2.0) 3) (pow (exp (- x)) 3)) (+ (* (- (exp x) 2.0) (- (exp x) 2.0)) (- (* (exp (- x)) (exp (- x))) (* (- (exp x) 2.0) (exp (- x))))) (- (* (- (exp x) 2.0) (- (exp x) 2.0)) (* (exp (- x)) (exp (- x)))) (- (- (exp x) 2.0) (exp (- x))) (+ (- (exp x) 2.0) (exp (- x))) (+ (- (exp x) 2.0) (exp (- x))) (+ (fma (- (cbrt 2.0)) (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt 2.0) (* (cbrt 2.0) (cbrt 2.0)))) (exp (- x))) (+ (fma (- (sqrt 2.0)) (sqrt 2.0) (* (sqrt 2.0) (sqrt 2.0))) (exp (- x))) (+ (fma (- 2.0) 1 (* 2.0 1)) (exp (- x))) (+ (fma (- (cbrt 2.0)) (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt 2.0) (* (cbrt 2.0) (cbrt 2.0)))) (exp (- x))) (+ (fma (- (sqrt 2.0)) (sqrt 2.0) (* (sqrt 2.0) (sqrt 2.0))) (exp (- x))) (+ (fma (- 2.0) 1 (* 2.0 1)) (exp (- x))) (+ (fma (- (cbrt 2.0)) (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt 2.0) (* (cbrt 2.0) (cbrt 2.0)))) (exp (- x))) (+ (fma (- (sqrt 2.0)) (sqrt 2.0) (* (sqrt 2.0) (sqrt 2.0))) (exp (- x))) (+ (fma (- 2.0) 1 (* 2.0 1)) (exp (- x))) (+ (- 2.0) (exp (- x))) (+ (- 2.0) (exp (- x))) (- 2.0 (exp (- x))) (fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- (* (cbrt 2.0) (* (cbrt 2.0) (cbrt 2.0))))) (fma (- (cbrt 2.0)) (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt 2.0) (* (cbrt 2.0) (cbrt 2.0)))) (fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- (* (sqrt 2.0) (sqrt 2.0)))) (fma (- (sqrt 2.0)) (sqrt 2.0) (* (sqrt 2.0) (sqrt 2.0))) (fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- (* 2.0 1))) (fma (- 2.0) 1 (* 2.0 1)) (fma (sqrt (exp x)) (sqrt (exp x)) (- (* (cbrt 2.0) (* (cbrt 2.0) (cbrt 2.0))))) (fma (- (cbrt 2.0)) (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt 2.0) (* (cbrt 2.0) (cbrt 2.0)))) (fma (sqrt (exp x)) (sqrt (exp x)) (- (* (sqrt 2.0) (sqrt 2.0)))) (fma (- (sqrt 2.0)) (sqrt 2.0) (* (sqrt 2.0) (sqrt 2.0))) (fma (sqrt (exp x)) (sqrt (exp x)) (- (* 2.0 1))) (fma (- 2.0) 1 (* 2.0 1)) (fma 1 (exp x) (- (* (cbrt 2.0) (* (cbrt 2.0) (cbrt 2.0))))) (fma (- (cbrt 2.0)) (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt 2.0) (* (cbrt 2.0) (cbrt 2.0)))) (fma 1 (exp x) (- (* (sqrt 2.0) (sqrt 2.0)))) (fma (- (sqrt 2.0)) (sqrt 2.0) (* (sqrt 2.0) (sqrt 2.0))) (fma 1 (exp x) (- (* 2.0 1))) (fma (- 2.0) 1 (* 2.0 1)) (expm1 (- (exp x) 2.0)) (log1p (- (exp x) 2.0)) (- 2.0) (- 2.0) (- 2.0) (/ (exp (exp x)) (exp 2.0)) (log (- (exp x) 2.0)) (exp (- (exp x) 2.0)) (* (cbrt (- (exp x) 2.0)) (cbrt (- (exp x) 2.0))) (cbrt (- (exp x) 2.0)) (* (* (- (exp x) 2.0) (- (exp x) 2.0)) (- (exp x) 2.0)) (sqrt (- (exp x) 2.0)) (sqrt (- (exp x) 2.0)) (- (pow (exp x) 3) (pow 2.0 3)) (+ (* (exp x) (exp x)) (+ (* 2.0 2.0) (* (exp x) 2.0))) (- 2.0) (- (* (exp x) (exp x)) (* 2.0 2.0)) (+ (exp x) 2.0) (+ (sqrt (exp x)) (sqrt 2.0)) (- (sqrt (exp x)) (sqrt 2.0)) (- (exp x) 2.0) (- 2.0) (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (- (+ (exp x) (exp (- x))) 2.0) (- (+ (exp (* -1 x)) (exp x)) 2.0) (- (+ (* 1/2 (pow x 2)) x) 1.0) (- (exp x) 2.0) (- (exp x) 2.0) 0.403 * * [simplify]: iteration 0 : 282 enodes (cost 506 ) 0.408 * * [simplify]: iteration 1 : 1008 enodes (cost 381 ) 0.429 * * [simplify]: iteration 2 : 5001 enodes (cost 367 ) 0.432 * [simplify]: Simplified to: (expm1 (+ (- (exp x) 2.0) (exp (- x)))) (log1p (+ (- (exp x) 2.0) (exp (- x)))) (exp (+ (- (exp x) 2.0) (exp (- x)))) (exp (+ (- (exp x) 2.0) (exp (- x)))) (log (+ (- (exp x) 2.0) (exp (- x)))) (exp (+ (- (exp x) 2.0) (exp (- x)))) (* (cbrt (+ (- (exp x) 2.0) (exp (- x)))) (cbrt (+ (- (exp x) 2.0) (exp (- x))))) (cbrt (+ (- (exp x) 2.0) (exp (- x)))) (pow (- (+ (exp (* -1 x)) (exp x)) 2.0) 3) (sqrt (+ (- (exp x) 2.0) (exp (- x)))) (sqrt (+ (- (exp x) 2.0) (exp (- x)))) (fma (exp x) (- (pow (exp x) 3) (pow 2.0 3)) (fma 2.0 (+ (exp x) 2.0) (exp (+ x x)))) (fma (exp x) (fma 2.0 2.0 (* (exp x) 2.0)) (pow (exp x) 3)) (fma (exp x) (- (pow (exp x) 3) (pow 2.0 3)) (fma 2.0 (+ (exp x) 2.0) (exp (+ x x)))) (fma (exp x) (fma 2.0 2.0 (* (exp x) 2.0)) (pow (exp x) 3)) (fma (exp x) (fma (- 2.0) 2.0 (exp (+ x x))) (+ (exp x) 2.0)) (* (+ (exp x) 2.0) (exp x)) (fma (exp x) (fma (- 2.0) 2.0 (exp (+ x x))) (+ (exp x) 2.0)) (* (+ (exp x) 2.0) (exp x)) (+ (pow (- (exp x) 2.0) 3) (pow (exp (- x)) 3)) (fma (exp (* -1 x)) (- (exp (- x)) (- (exp x) 2.0)) (* (- (exp x) 2.0) (- (exp x) 2.0))) (- (* (- (exp x) 2.0) (- (exp x) 2.0)) (* (exp (- x)) (exp (- x)))) (- (- (exp x) 2.0) (exp (- x))) (- (+ (exp (* -1 x)) (exp x)) 2.0) (- (+ (exp (* -1 x)) (exp x)) 2.0) (+ (- (exp (* -1 x)) 2.0) 2.0) (+ (- (exp (* -1 x)) 2.0) 2.0) (+ (- (exp (* -1 x)) 2.0) 2.0) (+ (- (exp (* -1 x)) 2.0) 2.0) (+ (- (exp (* -1 x)) 2.0) 2.0) (+ (- (exp (* -1 x)) 2.0) 2.0) (+ (- (exp (* -1 x)) 2.0) 2.0) (+ (- (exp (* -1 x)) 2.0) 2.0) (+ (- (exp (* -1 x)) 2.0) 2.0) (- (exp (* -1 x)) 2.0) (- (exp (* -1 x)) 2.0) (- 2.0 (exp (- x))) (- (* (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x))) 2.0) (fma (- 2.0) 1 2.0) (- (* (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x))) 2.0) (fma (- 2.0) 1 2.0) (- (* (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x))) 2.0) (fma (- 2.0) 1 2.0) (- (exp x) 2.0) (fma (- 2.0) 1 2.0) (- (exp x) 2.0) (fma (- 2.0) 1 2.0) (- (exp x) 2.0) (fma (- 2.0) 1 2.0) (- (exp x) 2.0) (fma (- 2.0) 1 2.0) (- (exp x) 2.0) (fma (- 2.0) 1 2.0) (- (exp x) 2.0) (fma (- 2.0) 1 2.0) (expm1 (- (exp x) 2.0)) (log1p (- (exp x) 2.0)) (- 2.0) (- 2.0) (- 2.0) (exp (- (exp x) 2.0)) (log (- (exp x) 2.0)) (exp (- (exp x) 2.0)) (* (cbrt (- (exp x) 2.0)) (cbrt (- (exp x) 2.0))) (cbrt (- (exp x) 2.0)) (pow (- (exp x) 2.0) 3) (sqrt (- (exp x) 2.0)) (sqrt (- (exp x) 2.0)) (- (pow (exp x) 3) (pow 2.0 3)) (fma 2.0 (+ (exp x) 2.0) (exp (+ x x))) (- 2.0) (fma (- 2.0) 2.0 (exp (+ x x))) (+ (exp x) 2.0) (+ (sqrt (exp x)) (sqrt 2.0)) (- (sqrt (exp x)) (sqrt 2.0)) (- (exp x) 2.0) (- 2.0) (fma x x (fma 1/360 (pow x 6) (* 1/12 (pow x 4)))) (- (+ (exp (* -1 x)) (exp x)) 2.0) (- (+ (exp (* -1 x)) (exp x)) 2.0) (fma (pow x 2) 1/2 (- x 1.0)) (- (exp x) 2.0) (- (exp x) 2.0) 0.432 * * * [progress]: adding candidates to table 0.581 * * [progress]: iteration 2 / 4 0.581 * * * [progress]: picking best candidate 0.590 * * * * [pick]: Picked # 0.590 * * * [progress]: localizing error 0.599 * * * [progress]: generating rewritten candidates 0.599 * * * * [progress]: [ 1 / 2 ] rewriting at (2 3 3) 0.604 * * * * [progress]: [ 2 / 2 ] rewriting at (2 3) 0.606 * * * [progress]: generating series expansions 0.606 * * * * [progress]: [ 1 / 2 ] generating series at (2 3 3) 0.606 * [approximate]: Taking taylor expansion of (* 1/12 (pow x 4)) in (x) around 0 0.606 * [taylor]: Taking taylor expansion of (* 1/12 (pow x 4)) in x 0.606 * [taylor]: Taking taylor expansion of 1/12 in x 0.606 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.606 * [taylor]: Taking taylor expansion of x in x 0.606 * [taylor]: Taking taylor expansion of (* 1/12 (pow x 4)) in x 0.606 * [taylor]: Taking taylor expansion of 1/12 in x 0.606 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.606 * [taylor]: Taking taylor expansion of x in x 0.618 * [approximate]: Taking taylor expansion of (/ 1/12 (pow x 4)) in (x) around 0 0.618 * [taylor]: Taking taylor expansion of (/ 1/12 (pow x 4)) in x 0.619 * [taylor]: Taking taylor expansion of 1/12 in x 0.619 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.619 * [taylor]: Taking taylor expansion of x in x 0.619 * [taylor]: Taking taylor expansion of (/ 1/12 (pow x 4)) in x 0.619 * [taylor]: Taking taylor expansion of 1/12 in x 0.619 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.619 * [taylor]: Taking taylor expansion of x in x 0.630 * [approximate]: Taking taylor expansion of (/ 1/12 (pow x 4)) in (x) around 0 0.630 * [taylor]: Taking taylor expansion of (/ 1/12 (pow x 4)) in x 0.630 * [taylor]: Taking taylor expansion of 1/12 in x 0.630 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.631 * [taylor]: Taking taylor expansion of x in x 0.631 * [taylor]: Taking taylor expansion of (/ 1/12 (pow x 4)) in x 0.631 * [taylor]: Taking taylor expansion of 1/12 in x 0.631 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.631 * [taylor]: Taking taylor expansion of x in x 0.642 * * * * [progress]: [ 2 / 2 ] generating series at (2 3) 0.643 * [approximate]: Taking taylor expansion of (fma 1/360 (pow x 6) (* 1/12 (pow x 4))) in (x) around 0 0.643 * [taylor]: Taking taylor expansion of (fma 1/360 (pow x 6) (* 1/12 (pow x 4))) in x 0.643 * [taylor]: Rewrote expression to (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))) 0.643 * [taylor]: Taking taylor expansion of (* 1/360 (pow x 6)) in x 0.643 * [taylor]: Taking taylor expansion of 1/360 in x 0.643 * [taylor]: Taking taylor expansion of (pow x 6) in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.643 * [taylor]: Taking taylor expansion of (* 1/12 (pow x 4)) in x 0.643 * [taylor]: Taking taylor expansion of 1/12 in x 0.643 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.643 * [taylor]: Taking taylor expansion of (fma 1/360 (pow x 6) (* 1/12 (pow x 4))) in x 0.643 * [taylor]: Rewrote expression to (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))) 0.643 * [taylor]: Taking taylor expansion of (* 1/360 (pow x 6)) in x 0.643 * [taylor]: Taking taylor expansion of 1/360 in x 0.643 * [taylor]: Taking taylor expansion of (pow x 6) in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.643 * [taylor]: Taking taylor expansion of (* 1/12 (pow x 4)) in x 0.643 * [taylor]: Taking taylor expansion of 1/12 in x 0.643 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.681 * [approximate]: Taking taylor expansion of (fma 1/360 (pow (/ 1 x) 6) (/ 1/12 (pow x 4))) in (x) around 0 0.681 * [taylor]: Taking taylor expansion of (fma 1/360 (pow (/ 1 x) 6) (/ 1/12 (pow x 4))) in x 0.681 * [taylor]: Rewrote expression to (+ (* 1/360 (pow (/ 1 x) 6)) (/ 1/12 (pow x 4))) 0.681 * [taylor]: Taking taylor expansion of (* 1/360 (pow (/ 1 x) 6)) in x 0.681 * [taylor]: Taking taylor expansion of 1/360 in x 0.681 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 6) in x 0.681 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.681 * [taylor]: Taking taylor expansion of x in x 0.681 * [taylor]: Taking taylor expansion of (/ 1/12 (pow x 4)) in x 0.681 * [taylor]: Taking taylor expansion of 1/12 in x 0.681 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.681 * [taylor]: Taking taylor expansion of x in x 0.682 * [taylor]: Taking taylor expansion of (fma 1/360 (pow (/ 1 x) 6) (/ 1/12 (pow x 4))) in x 0.682 * [taylor]: Rewrote expression to (+ (* 1/360 (pow (/ 1 x) 6)) (/ 1/12 (pow x 4))) 0.682 * [taylor]: Taking taylor expansion of (* 1/360 (pow (/ 1 x) 6)) in x 0.682 * [taylor]: Taking taylor expansion of 1/360 in x 0.682 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 6) in x 0.682 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.682 * [taylor]: Taking taylor expansion of x in x 0.682 * [taylor]: Taking taylor expansion of (/ 1/12 (pow x 4)) in x 0.682 * [taylor]: Taking taylor expansion of 1/12 in x 0.682 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.682 * [taylor]: Taking taylor expansion of x in x 0.721 * [approximate]: Taking taylor expansion of (fma 1/360 (pow (/ -1 x) 6) (/ 1/12 (pow x 4))) in (x) around 0 0.721 * [taylor]: Taking taylor expansion of (fma 1/360 (pow (/ -1 x) 6) (/ 1/12 (pow x 4))) in x 0.721 * [taylor]: Rewrote expression to (+ (* 1/360 (pow (/ -1 x) 6)) (/ 1/12 (pow x 4))) 0.721 * [taylor]: Taking taylor expansion of (* 1/360 (pow (/ -1 x) 6)) in x 0.722 * [taylor]: Taking taylor expansion of 1/360 in x 0.722 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 6) in x 0.722 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.722 * [taylor]: Taking taylor expansion of -1 in x 0.722 * [taylor]: Taking taylor expansion of x in x 0.722 * [taylor]: Taking taylor expansion of (/ 1/12 (pow x 4)) in x 0.722 * [taylor]: Taking taylor expansion of 1/12 in x 0.722 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.722 * [taylor]: Taking taylor expansion of x in x 0.723 * [taylor]: Taking taylor expansion of (fma 1/360 (pow (/ -1 x) 6) (/ 1/12 (pow x 4))) in x 0.723 * [taylor]: Rewrote expression to (+ (* 1/360 (pow (/ -1 x) 6)) (/ 1/12 (pow x 4))) 0.723 * [taylor]: Taking taylor expansion of (* 1/360 (pow (/ -1 x) 6)) in x 0.723 * [taylor]: Taking taylor expansion of 1/360 in x 0.723 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 6) in x 0.723 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.723 * [taylor]: Taking taylor expansion of -1 in x 0.723 * [taylor]: Taking taylor expansion of x in x 0.723 * [taylor]: Taking taylor expansion of (/ 1/12 (pow x 4)) in x 0.723 * [taylor]: Taking taylor expansion of 1/12 in x 0.723 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.723 * [taylor]: Taking taylor expansion of x in x 0.766 * * * [progress]: simplifying candidates 0.767 * [simplify]: Simplifying using # : (expm1 (* 1/12 (pow x 4))) (log1p (* 1/12 (pow x 4))) (+ (log 1/12) (* (log x) 4)) (+ (log 1/12) (* (log x) 4)) (+ (log 1/12) (log (pow x 4))) (log (* 1/12 (pow x 4))) (exp (* 1/12 (pow x 4))) (* (* (* 1/12 1/12) 1/12) (* (* (pow x 4) (pow x 4)) (pow x 4))) (* (cbrt (* 1/12 (pow x 4))) (cbrt (* 1/12 (pow x 4)))) (cbrt (* 1/12 (pow x 4))) (* (* (* 1/12 (pow x 4)) (* 1/12 (pow x 4))) (* 1/12 (pow x 4))) (sqrt (* 1/12 (pow x 4))) (sqrt (* 1/12 (pow x 4))) (* (sqrt 1/12) (pow (sqrt x) 4)) (* (sqrt 1/12) (pow (sqrt x) 4)) (* (sqrt 1/12) (sqrt (pow x 4))) (* (sqrt 1/12) (sqrt (pow x 4))) (* (sqrt 1/12) (pow x (/ 4 2))) (* (sqrt 1/12) (pow x (/ 4 2))) (* 1/12 (pow (* (cbrt x) (cbrt x)) 4)) (* 1/12 (pow (sqrt x) 4)) (* 1/12 (pow 1 4)) (* 1/12 (* (cbrt (pow x 4)) (cbrt (pow x 4)))) (* 1/12 (sqrt (pow x 4))) (* 1/12 1) (* 1/12 (pow x (/ 4 2))) (* (cbrt 1/12) (pow x 4)) (* (sqrt 1/12) (pow x 4)) (* 1/12 (pow x 4)) (expm1 (fma 1/360 (pow x 6) (* 1/12 (pow x 4)))) (log1p (fma 1/360 (pow x 6) (* 1/12 (pow x 4)))) (* 1/360 (pow x 6)) (log (fma 1/360 (pow x 6) (* 1/12 (pow x 4)))) (exp (fma 1/360 (pow x 6) (* 1/12 (pow x 4)))) (* (cbrt (fma 1/360 (pow x 6) (* 1/12 (pow x 4)))) (cbrt (fma 1/360 (pow x 6) (* 1/12 (pow x 4))))) (cbrt (fma 1/360 (pow x 6) (* 1/12 (pow x 4)))) (* (* (fma 1/360 (pow x 6) (* 1/12 (pow x 4))) (fma 1/360 (pow x 6) (* 1/12 (pow x 4)))) (fma 1/360 (pow x 6) (* 1/12 (pow x 4)))) (sqrt (fma 1/360 (pow x 6) (* 1/12 (pow x 4)))) (sqrt (fma 1/360 (pow x 6) (* 1/12 (pow x 4)))) (* 1/12 (pow x 4)) (* 1/12 (pow x 4)) (* 1/12 (pow x 4)) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))) 0.770 * * [simplify]: iteration 0 : 123 enodes (cost 177 ) 0.773 * * [simplify]: iteration 1 : 469 enodes (cost 163 ) 0.784 * * [simplify]: iteration 2 : 2175 enodes (cost 160 ) 0.849 * * [simplify]: iteration 3 : 5002 enodes (cost 160 ) 0.850 * [simplify]: Simplified to: (expm1 (* 1/12 (pow x 4))) (log1p (* 1/12 (pow x 4))) (log (* 1/12 (pow x 4))) (log (* 1/12 (pow x 4))) (log (* 1/12 (pow x 4))) (log (* 1/12 (pow x 4))) (exp (* 1/12 (pow x 4))) (pow (* 1/12 (pow x 4)) 3) (* (cbrt (* 1/12 (pow x 4))) (cbrt (* 1/12 (pow x 4)))) (cbrt (* 1/12 (pow x 4))) (pow (* 1/12 (pow x 4)) 3) (sqrt (* 1/12 (pow x 4))) (sqrt (* 1/12 (pow x 4))) (* (sqrt 1/12) (pow x 2)) (* (sqrt 1/12) (pow x 2)) (* (sqrt 1/12) (sqrt (pow x 4))) (* (sqrt 1/12) (sqrt (pow x 4))) (* (sqrt 1/12) (pow x 2)) (* (sqrt 1/12) (pow x 2)) (* 1/12 (pow (* (cbrt x) (cbrt x)) 4)) (* 1/12 (pow x 2)) 1/12 (* 1/12 (* (cbrt (pow x 4)) (cbrt (pow x 4)))) (* 1/12 (sqrt (pow x 4))) 1/12 (* 1/12 (pow x 2)) (* (cbrt 1/12) (pow x 4)) (* (sqrt 1/12) (pow x 4)) (* 1/12 (pow x 4)) (expm1 (fma 1/360 (pow x 6) (* 1/12 (pow x 4)))) (log1p (fma 1/360 (pow x 6) (* 1/12 (pow x 4)))) (* 1/360 (pow x 6)) (log (fma 1/360 (pow x 6) (* 1/12 (pow x 4)))) (exp (fma 1/360 (pow x 6) (* 1/12 (pow x 4)))) (* (cbrt (fma 1/360 (pow x 6) (* 1/12 (pow x 4)))) (cbrt (fma 1/360 (pow x 6) (* 1/12 (pow x 4))))) (cbrt (fma 1/360 (pow x 6) (* 1/12 (pow x 4)))) (pow (fma 1/360 (pow x 6) (* 1/12 (pow x 4))) 3) (sqrt (fma 1/360 (pow x 6) (* 1/12 (pow x 4)))) (sqrt (fma 1/360 (pow x 6) (* 1/12 (pow x 4)))) (* 1/12 (pow x 4)) (* 1/12 (pow x 4)) (* 1/12 (pow x 4)) (fma 1/360 (pow x 6) (* 1/12 (pow x 4))) (fma 1/360 (pow x 6) (* 1/12 (pow x 4))) (fma 1/360 (pow x 6) (* 1/12 (pow x 4))) 0.850 * * * [progress]: adding candidates to table 0.951 * * [progress]: iteration 3 / 4 0.951 * * * [progress]: picking best candidate 0.957 * * * * [pick]: Picked # 0.957 * * * [progress]: localizing error 0.965 * * * [progress]: generating rewritten candidates 0.965 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 0.975 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.982 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.989 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.002 * * * [progress]: generating series expansions 1.002 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 1.002 * [approximate]: Taking taylor expansion of (- (+ (exp x) (exp (- x))) 2.0) in (x) around 0 1.002 * [taylor]: Taking taylor expansion of (- (+ (exp x) (exp (- x))) 2.0) in x 1.002 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.002 * [taylor]: Taking taylor expansion of (exp x) in x 1.002 * [taylor]: Taking taylor expansion of x in x 1.002 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.002 * [taylor]: Taking taylor expansion of (- x) in x 1.002 * [taylor]: Taking taylor expansion of x in x 1.003 * [taylor]: Taking taylor expansion of 2.0 in x 1.003 * [taylor]: Taking taylor expansion of (- (+ (exp x) (exp (- x))) 2.0) in x 1.003 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.003 * [taylor]: Taking taylor expansion of (exp x) in x 1.003 * [taylor]: Taking taylor expansion of x in x 1.003 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.003 * [taylor]: Taking taylor expansion of (- x) in x 1.003 * [taylor]: Taking taylor expansion of x in x 1.003 * [taylor]: Taking taylor expansion of 2.0 in x 1.043 * [approximate]: Taking taylor expansion of (- (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 2.0) in (x) around 0 1.043 * [taylor]: Taking taylor expansion of (- (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 2.0) in x 1.043 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.043 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.043 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.043 * [taylor]: Taking taylor expansion of x in x 1.043 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.043 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.043 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.043 * [taylor]: Taking taylor expansion of x in x 1.044 * [taylor]: Taking taylor expansion of 2.0 in x 1.044 * [taylor]: Taking taylor expansion of (- (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 2.0) in x 1.044 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.044 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.044 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.044 * [taylor]: Taking taylor expansion of x in x 1.044 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.044 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.044 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.044 * [taylor]: Taking taylor expansion of x in x 1.045 * [taylor]: Taking taylor expansion of 2.0 in x 1.050 * [approximate]: Taking taylor expansion of (- (+ (exp (/ 1 x)) (exp (/ -1 x))) 2.0) in (x) around 0 1.050 * [taylor]: Taking taylor expansion of (- (+ (exp (/ 1 x)) (exp (/ -1 x))) 2.0) in x 1.050 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.050 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.050 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.050 * [taylor]: Taking taylor expansion of x in x 1.050 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.050 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.050 * [taylor]: Taking taylor expansion of -1 in x 1.050 * [taylor]: Taking taylor expansion of x in x 1.051 * [taylor]: Taking taylor expansion of 2.0 in x 1.051 * [taylor]: Taking taylor expansion of (- (+ (exp (/ 1 x)) (exp (/ -1 x))) 2.0) in x 1.051 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.051 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.051 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.051 * [taylor]: Taking taylor expansion of x in x 1.051 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.051 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.051 * [taylor]: Taking taylor expansion of -1 in x 1.051 * [taylor]: Taking taylor expansion of x in x 1.051 * [taylor]: Taking taylor expansion of 2.0 in x 1.056 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.057 * [approximate]: Taking taylor expansion of (- (+ (exp x) (exp (- x))) 2.0) in (x) around 0 1.057 * [taylor]: Taking taylor expansion of (- (+ (exp x) (exp (- x))) 2.0) in x 1.057 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.057 * [taylor]: Taking taylor expansion of (exp x) in x 1.057 * [taylor]: Taking taylor expansion of x in x 1.057 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.057 * [taylor]: Taking taylor expansion of (- x) in x 1.057 * [taylor]: Taking taylor expansion of x in x 1.057 * [taylor]: Taking taylor expansion of 2.0 in x 1.057 * [taylor]: Taking taylor expansion of (- (+ (exp x) (exp (- x))) 2.0) in x 1.057 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.057 * [taylor]: Taking taylor expansion of (exp x) in x 1.057 * [taylor]: Taking taylor expansion of x in x 1.057 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.057 * [taylor]: Taking taylor expansion of (- x) in x 1.057 * [taylor]: Taking taylor expansion of x in x 1.058 * [taylor]: Taking taylor expansion of 2.0 in x 1.100 * [approximate]: Taking taylor expansion of (- (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 2.0) in (x) around 0 1.101 * [taylor]: Taking taylor expansion of (- (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 2.0) in x 1.101 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.101 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.101 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.101 * [taylor]: Taking taylor expansion of x in x 1.101 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.101 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.101 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.101 * [taylor]: Taking taylor expansion of x in x 1.102 * [taylor]: Taking taylor expansion of 2.0 in x 1.102 * [taylor]: Taking taylor expansion of (- (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 2.0) in x 1.102 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.102 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.102 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.102 * [taylor]: Taking taylor expansion of x in x 1.102 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.102 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.102 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.102 * [taylor]: Taking taylor expansion of x in x 1.103 * [taylor]: Taking taylor expansion of 2.0 in x 1.108 * [approximate]: Taking taylor expansion of (- (+ (exp (/ 1 x)) (exp (/ -1 x))) 2.0) in (x) around 0 1.108 * [taylor]: Taking taylor expansion of (- (+ (exp (/ 1 x)) (exp (/ -1 x))) 2.0) in x 1.108 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.108 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.108 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.108 * [taylor]: Taking taylor expansion of x in x 1.108 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.108 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.108 * [taylor]: Taking taylor expansion of -1 in x 1.108 * [taylor]: Taking taylor expansion of x in x 1.109 * [taylor]: Taking taylor expansion of 2.0 in x 1.109 * [taylor]: Taking taylor expansion of (- (+ (exp (/ 1 x)) (exp (/ -1 x))) 2.0) in x 1.109 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.109 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.109 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.109 * [taylor]: Taking taylor expansion of x in x 1.109 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.109 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.109 * [taylor]: Taking taylor expansion of -1 in x 1.109 * [taylor]: Taking taylor expansion of x in x 1.109 * [taylor]: Taking taylor expansion of 2.0 in x 1.114 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.114 * [approximate]: Taking taylor expansion of (- (exp x) 2.0) in (x) around 0 1.115 * [taylor]: Taking taylor expansion of (- (exp x) 2.0) in x 1.115 * [taylor]: Taking taylor expansion of (exp x) in x 1.115 * [taylor]: Taking taylor expansion of x in x 1.115 * [taylor]: Taking taylor expansion of 2.0 in x 1.115 * [taylor]: Taking taylor expansion of (- (exp x) 2.0) in x 1.115 * [taylor]: Taking taylor expansion of (exp x) in x 1.115 * [taylor]: Taking taylor expansion of x in x 1.115 * [taylor]: Taking taylor expansion of 2.0 in x 1.119 * [approximate]: Taking taylor expansion of (- (exp (/ 1 x)) 2.0) in (x) around 0 1.119 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 2.0) in x 1.119 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.119 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.119 * [taylor]: Taking taylor expansion of x in x 1.119 * [taylor]: Taking taylor expansion of 2.0 in x 1.119 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 2.0) in x 1.119 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.119 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.119 * [taylor]: Taking taylor expansion of x in x 1.119 * [taylor]: Taking taylor expansion of 2.0 in x 1.123 * [approximate]: Taking taylor expansion of (- (exp (/ -1 x)) 2.0) in (x) around 0 1.123 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 2.0) in x 1.123 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.123 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.123 * [taylor]: Taking taylor expansion of -1 in x 1.123 * [taylor]: Taking taylor expansion of x in x 1.123 * [taylor]: Taking taylor expansion of 2.0 in x 1.123 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 2.0) in x 1.123 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.123 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.123 * [taylor]: Taking taylor expansion of -1 in x 1.123 * [taylor]: Taking taylor expansion of x in x 1.124 * [taylor]: Taking taylor expansion of 2.0 in x 1.127 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.127 * [approximate]: Taking taylor expansion of (exp (- (+ (exp x) (exp (- x))) 2.0)) in (x) around 0 1.127 * [taylor]: Taking taylor expansion of (exp (- (+ (exp x) (exp (- x))) 2.0)) in x 1.127 * [taylor]: Taking taylor expansion of (- (+ (exp x) (exp (- x))) 2.0) in x 1.127 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.127 * [taylor]: Taking taylor expansion of (exp x) in x 1.127 * [taylor]: Taking taylor expansion of x in x 1.127 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.127 * [taylor]: Taking taylor expansion of (- x) in x 1.127 * [taylor]: Taking taylor expansion of x in x 1.128 * [taylor]: Taking taylor expansion of 2.0 in x 1.134 * [taylor]: Taking taylor expansion of (exp (- (+ (exp x) (exp (- x))) 2.0)) in x 1.134 * [taylor]: Taking taylor expansion of (- (+ (exp x) (exp (- x))) 2.0) in x 1.134 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.134 * [taylor]: Taking taylor expansion of (exp x) in x 1.134 * [taylor]: Taking taylor expansion of x in x 1.134 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.134 * [taylor]: Taking taylor expansion of (- x) in x 1.134 * [taylor]: Taking taylor expansion of x in x 1.134 * [taylor]: Taking taylor expansion of 2.0 in x 1.159 * [approximate]: Taking taylor expansion of (exp (- (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 2.0)) in (x) around 0 1.159 * [taylor]: Taking taylor expansion of (exp (- (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 2.0)) in x 1.159 * [taylor]: Taking taylor expansion of (- (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 2.0) in x 1.159 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.159 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.159 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.159 * [taylor]: Taking taylor expansion of x in x 1.159 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.159 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.159 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.159 * [taylor]: Taking taylor expansion of x in x 1.160 * [taylor]: Taking taylor expansion of 2.0 in x 1.161 * [taylor]: Taking taylor expansion of (exp (- (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 2.0)) in x 1.161 * [taylor]: Taking taylor expansion of (- (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 2.0) in x 1.161 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.161 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.161 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.161 * [taylor]: Taking taylor expansion of x in x 1.161 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.161 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.161 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.161 * [taylor]: Taking taylor expansion of x in x 1.162 * [taylor]: Taking taylor expansion of 2.0 in x 1.176 * [approximate]: Taking taylor expansion of (exp (- (+ (exp (/ 1 x)) (exp (/ -1 x))) 2.0)) in (x) around 0 1.176 * [taylor]: Taking taylor expansion of (exp (- (+ (exp (/ 1 x)) (exp (/ -1 x))) 2.0)) in x 1.176 * [taylor]: Taking taylor expansion of (- (+ (exp (/ 1 x)) (exp (/ -1 x))) 2.0) in x 1.176 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.176 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.176 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.176 * [taylor]: Taking taylor expansion of x in x 1.176 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.176 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.176 * [taylor]: Taking taylor expansion of -1 in x 1.176 * [taylor]: Taking taylor expansion of x in x 1.176 * [taylor]: Taking taylor expansion of 2.0 in x 1.177 * [taylor]: Taking taylor expansion of (exp (- (+ (exp (/ 1 x)) (exp (/ -1 x))) 2.0)) in x 1.177 * [taylor]: Taking taylor expansion of (- (+ (exp (/ 1 x)) (exp (/ -1 x))) 2.0) in x 1.177 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.177 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.177 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.177 * [taylor]: Taking taylor expansion of x in x 1.178 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.178 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.178 * [taylor]: Taking taylor expansion of -1 in x 1.178 * [taylor]: Taking taylor expansion of x in x 1.178 * [taylor]: Taking taylor expansion of 2.0 in x 1.192 * * * [progress]: simplifying candidates 1.193 * [simplify]: Simplifying using # : (expm1 (+ (- (exp x) 2.0) (exp (- x)))) (log1p (+ (- (exp x) 2.0) (exp (- x)))) (* (/ (exp (exp x)) (exp 2.0)) (exp (exp (- x)))) (* (exp (- (exp x) 2.0)) (exp (exp (- x)))) (log (+ (- (exp x) 2.0) (exp (- x)))) (exp (+ (- (exp x) 2.0) (exp (- x)))) (* (cbrt (+ (- (exp x) 2.0) (exp (- x)))) (cbrt (+ (- (exp x) 2.0) (exp (- x))))) (cbrt (+ (- (exp x) 2.0) (exp (- x)))) (* (* (+ (- (exp x) 2.0) (exp (- x))) (+ (- (exp x) 2.0) (exp (- x)))) (+ (- (exp x) 2.0) (exp (- x)))) (sqrt (+ (- (exp x) 2.0) (exp (- x)))) (sqrt (+ (- (exp x) 2.0) (exp (- x)))) (+ (* (- (pow (exp x) 3) (pow 2.0 3)) (exp x)) (* (+ (* (exp x) (exp x)) (+ (* 2.0 2.0) (* (exp x) 2.0))) 1)) (* (+ (* (exp x) (exp x)) (+ (* 2.0 2.0) (* (exp x) 2.0))) (exp x)) (+ (* (- (pow (exp x) 3) (pow 2.0 3)) (exp x)) (* (+ (* (exp x) (exp x)) (+ (* 2.0 2.0) (* (exp x) 2.0))) (exp 0))) (* (+ (* (exp x) (exp x)) (+ (* 2.0 2.0) (* (exp x) 2.0))) (exp x)) (+ (* (- (* (exp x) (exp x)) (* 2.0 2.0)) (exp x)) (* (+ (exp x) 2.0) 1)) (* (+ (exp x) 2.0) (exp x)) (+ (* (- (* (exp x) (exp x)) (* 2.0 2.0)) (exp x)) (* (+ (exp x) 2.0) (exp 0))) (* (+ (exp x) 2.0) (exp x)) (+ (pow (- (exp x) 2.0) 3) (pow (exp (- x)) 3)) (+ (* (- (exp x) 2.0) (- (exp x) 2.0)) (- (* (exp (- x)) (exp (- x))) (* (- (exp x) 2.0) (exp (- x))))) (- (* (- (exp x) 2.0) (- (exp x) 2.0)) (* (exp (- x)) (exp (- x)))) (- (- (exp x) 2.0) (exp (- x))) (+ (- (exp x) 2.0) (exp (- x))) (+ (- (exp x) 2.0) (exp (- x))) (+ (fma (- (cbrt 2.0)) (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt 2.0) (* (cbrt 2.0) (cbrt 2.0)))) (exp (- x))) (+ (fma (- (sqrt 2.0)) (sqrt 2.0) (* (sqrt 2.0) (sqrt 2.0))) (exp (- x))) (+ (fma (- 2.0) 1 (* 2.0 1)) (exp (- x))) (+ (fma (- (cbrt 2.0)) (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt 2.0) (* (cbrt 2.0) (cbrt 2.0)))) (exp (- x))) (+ (fma (- (sqrt 2.0)) (sqrt 2.0) (* (sqrt 2.0) (sqrt 2.0))) (exp (- x))) (+ (fma (- 2.0) 1 (* 2.0 1)) (exp (- x))) (+ (fma (- (cbrt 2.0)) (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt 2.0) (* (cbrt 2.0) (cbrt 2.0)))) (exp (- x))) (+ (fma (- (sqrt 2.0)) (sqrt 2.0) (* (sqrt 2.0) (sqrt 2.0))) (exp (- x))) (+ (fma (- 2.0) 1 (* 2.0 1)) (exp (- x))) (+ (- 2.0) (exp (- x))) (+ (- 2.0) (exp (- x))) (- 2.0 (exp (- x))) (expm1 (log (exp (+ (- (exp x) 2.0) (exp (- x)))))) (log1p (log (exp (+ (- (exp x) 2.0) (exp (- x)))))) (log (exp (- (exp x) 2.0))) (log (exp (exp (- x)))) (log (* (cbrt (exp (+ (- (exp x) 2.0) (exp (- x))))) (cbrt (exp (+ (- (exp x) 2.0) (exp (- x))))))) (log (cbrt (exp (+ (- (exp x) 2.0) (exp (- x)))))) (log (sqrt (exp (+ (- (exp x) 2.0) (exp (- x)))))) (log (sqrt (exp (+ (- (exp x) 2.0) (exp (- x)))))) (log 1) (log (exp (+ (- (exp x) 2.0) (exp (- x))))) (log (exp (exp x))) (log (exp (- 2.0 (exp (- x))))) (log (exp (+ (- (exp x) 2.0) (exp (- x))))) (log (exp (* (cbrt (+ (- (exp x) 2.0) (exp (- x)))) (cbrt (+ (- (exp x) 2.0) (exp (- x))))))) (log (exp (sqrt (+ (- (exp x) 2.0) (exp (- x)))))) (log (exp 1)) (log (exp 1)) (log (exp 1)) (log (log (exp (+ (- (exp x) 2.0) (exp (- x)))))) (exp (log (exp (+ (- (exp x) 2.0) (exp (- x)))))) (* (cbrt (log (exp (+ (- (exp x) 2.0) (exp (- x)))))) (cbrt (log (exp (+ (- (exp x) 2.0) (exp (- x))))))) (cbrt (log (exp (+ (- (exp x) 2.0) (exp (- x)))))) (* (* (log (exp (+ (- (exp x) 2.0) (exp (- x))))) (log (exp (+ (- (exp x) 2.0) (exp (- x)))))) (log (exp (+ (- (exp x) 2.0) (exp (- x)))))) (sqrt (log (exp (+ (- (exp x) 2.0) (exp (- x)))))) (sqrt (log (exp (+ (- (exp x) 2.0) (exp (- x)))))) (fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- (* (cbrt 2.0) (* (cbrt 2.0) (cbrt 2.0))))) (fma (- (cbrt 2.0)) (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt 2.0) (* (cbrt 2.0) (cbrt 2.0)))) (fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- (* (sqrt 2.0) (sqrt 2.0)))) (fma (- (sqrt 2.0)) (sqrt 2.0) (* (sqrt 2.0) (sqrt 2.0))) (fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- (* 2.0 1))) (fma (- 2.0) 1 (* 2.0 1)) (fma (sqrt (exp x)) (sqrt (exp x)) (- (* (cbrt 2.0) (* (cbrt 2.0) (cbrt 2.0))))) (fma (- (cbrt 2.0)) (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt 2.0) (* (cbrt 2.0) (cbrt 2.0)))) (fma (sqrt (exp x)) (sqrt (exp x)) (- (* (sqrt 2.0) (sqrt 2.0)))) (fma (- (sqrt 2.0)) (sqrt 2.0) (* (sqrt 2.0) (sqrt 2.0))) (fma (sqrt (exp x)) (sqrt (exp x)) (- (* 2.0 1))) (fma (- 2.0) 1 (* 2.0 1)) (fma 1 (exp x) (- (* (cbrt 2.0) (* (cbrt 2.0) (cbrt 2.0))))) (fma (- (cbrt 2.0)) (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt 2.0) (* (cbrt 2.0) (cbrt 2.0)))) (fma 1 (exp x) (- (* (sqrt 2.0) (sqrt 2.0)))) (fma (- (sqrt 2.0)) (sqrt 2.0) (* (sqrt 2.0) (sqrt 2.0))) (fma 1 (exp x) (- (* 2.0 1))) (fma (- 2.0) 1 (* 2.0 1)) (expm1 (- (exp x) 2.0)) (log1p (- (exp x) 2.0)) (- 2.0) (- 2.0) (- 2.0) (/ (exp (exp x)) (exp 2.0)) (log (- (exp x) 2.0)) (exp (- (exp x) 2.0)) (* (cbrt (- (exp x) 2.0)) (cbrt (- (exp x) 2.0))) (cbrt (- (exp x) 2.0)) (* (* (- (exp x) 2.0) (- (exp x) 2.0)) (- (exp x) 2.0)) (sqrt (- (exp x) 2.0)) (sqrt (- (exp x) 2.0)) (- (pow (exp x) 3) (pow 2.0 3)) (+ (* (exp x) (exp x)) (+ (* 2.0 2.0) (* (exp x) 2.0))) (- 2.0) (- (* (exp x) (exp x)) (* 2.0 2.0)) (+ (exp x) 2.0) (+ (sqrt (exp x)) (sqrt 2.0)) (- (sqrt (exp x)) (sqrt 2.0)) (- (exp x) 2.0) (- 2.0) (expm1 (exp (+ (- (exp x) 2.0) (exp (- x))))) (log1p (exp (+ (- (exp x) 2.0) (exp (- x))))) (exp (* (cbrt (+ (- (exp x) 2.0) (exp (- x)))) (cbrt (+ (- (exp x) 2.0) (exp (- x)))))) (exp (sqrt (+ (- (exp x) 2.0) (exp (- x))))) (exp 1) (exp 1) (exp 1) (exp (- (exp x) 2.0)) (exp (exp (- x))) (exp (exp x)) (exp (- 2.0 (exp (- x)))) (log (exp (+ (- (exp x) 2.0) (exp (- x))))) (exp (exp (+ (- (exp x) 2.0) (exp (- x))))) (* (cbrt (exp (+ (- (exp x) 2.0) (exp (- x))))) (cbrt (exp (+ (- (exp x) 2.0) (exp (- x)))))) (cbrt (exp (+ (- (exp x) 2.0) (exp (- x))))) (* (* (exp (+ (- (exp x) 2.0) (exp (- x)))) (exp (+ (- (exp x) 2.0) (exp (- x))))) (exp (+ (- (exp x) 2.0) (exp (- x))))) (sqrt (exp (+ (- (exp x) 2.0) (exp (- x))))) (sqrt (exp (+ (- (exp x) 2.0) (exp (- x))))) (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (- (+ (exp x) (exp (- x))) 2.0) (- (+ (exp (* -1 x)) (exp x)) 2.0) (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (- (+ (exp x) (exp (- x))) 2.0) (- (+ (exp (* -1 x)) (exp x)) 2.0) (- (+ (* 1/2 (pow x 2)) x) 1.0) (- (exp x) 2.0) (- (exp x) 2.0) (+ (pow x 2) (+ (* 7/12 (pow x 4)) 1)) (exp (- (+ (exp x) (exp (- x))) 2.0)) (exp (- (+ (exp (* -1 x)) (exp x)) 2.0)) 1.199 * * [simplify]: iteration 0 : 340 enodes (cost 802 ) 1.205 * * [simplify]: iteration 1 : 1204 enodes (cost 642 ) 1.228 * * [simplify]: iteration 2 : 5002 enodes (cost 630 ) 1.232 * [simplify]: Simplified to: (expm1 (+ (- (exp x) 2.0) (exp (- x)))) (log1p (+ (- (exp x) 2.0) (exp (- x)))) (exp (+ (- (exp x) 2.0) (exp (- x)))) (exp (+ (- (exp x) 2.0) (exp (- x)))) (log (+ (- (exp x) 2.0) (exp (- x)))) (exp (+ (- (exp x) 2.0) (exp (- x)))) (* (cbrt (+ (- (exp x) 2.0) (exp (- x)))) (cbrt (+ (- (exp x) 2.0) (exp (- x))))) (cbrt (+ (- (exp x) 2.0) (exp (- x)))) (pow (+ (- (exp x) 2.0) (exp (- x))) 3) (sqrt (+ (- (exp x) 2.0) (exp (- x)))) (sqrt (+ (- (exp x) 2.0) (exp (- x)))) (fma (exp x) (- (pow (exp x) 3) (pow 2.0 3)) (fma 2.0 (+ (exp x) 2.0) (exp (+ x x)))) (* (fma 2.0 (+ (exp x) 2.0) (exp (+ x x))) (exp x)) (fma (exp x) (- (pow (exp x) 3) (pow 2.0 3)) (fma 2.0 (+ (exp x) 2.0) (exp (+ x x)))) (* (fma 2.0 (+ (exp x) 2.0) (exp (+ x x))) (exp x)) (* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1)) (* (+ (exp x) 2.0) (exp x)) (* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1)) (* (+ (exp x) 2.0) (exp x)) (+ (pow (- (exp x) 2.0) 3) (pow (exp (- x)) 3)) (fma (- (exp x) 2.0) (- (exp x) 2.0) (* (exp (- x)) (- (exp (- x)) (- (exp x) 2.0)))) (- (* (- (exp x) 2.0) (- (exp x) 2.0)) (* (exp (- x)) (exp (- x)))) (- (- (exp x) 2.0) (exp (- x))) (+ (- (exp x) 2.0) (exp (- x))) (+ (- (exp x) 2.0) (exp (- x))) (+ (- (exp (- x)) 2.0) 2.0) (+ (- (exp (- x)) 2.0) 2.0) (+ (- (exp (- x)) 2.0) 2.0) (+ (- (exp (- x)) 2.0) 2.0) (+ (- (exp (- x)) 2.0) 2.0) (+ (- (exp (- x)) 2.0) 2.0) (+ (- (exp (- x)) 2.0) 2.0) (+ (- (exp (- x)) 2.0) 2.0) (+ (- (exp (- x)) 2.0) 2.0) (- (exp (- x)) 2.0) (- (exp (- x)) 2.0) (- 2.0 (exp (- x))) (expm1 (+ (- (exp x) 2.0) (exp (- x)))) (log1p (+ (- (exp x) 2.0) (exp (- x)))) (- (exp x) 2.0) (exp (- x)) (* 2 (log (cbrt (exp (+ (- (exp x) 2.0) (exp (- x))))))) (log (cbrt (exp (+ (- (exp x) 2.0) (exp (- x)))))) (log (sqrt (exp (+ (- (exp x) 2.0) (exp (- x)))))) (log (sqrt (exp (+ (- (exp x) 2.0) (exp (- x)))))) 0 (+ (- (exp x) 2.0) (exp (- x))) (exp x) (- 2.0 (exp (- x))) (+ (- (exp x) 2.0) (exp (- x))) (* (cbrt (+ (- (exp x) 2.0) (exp (- x)))) (cbrt (+ (- (exp x) 2.0) (exp (- x))))) (sqrt (+ (- (exp x) 2.0) (exp (- x)))) 1 1 1 (log (+ (- (exp x) 2.0) (exp (- x)))) (exp (+ (- (exp x) 2.0) (exp (- x)))) (* (cbrt (+ (- (exp x) 2.0) (exp (- x)))) (cbrt (+ (- (exp x) 2.0) (exp (- x))))) (cbrt (+ (- (exp x) 2.0) (exp (- x)))) (pow (+ (- (exp x) 2.0) (exp (- x))) 3) (sqrt (+ (- (exp x) 2.0) (exp (- x)))) (sqrt (+ (- (exp x) 2.0) (exp (- x)))) (- (* (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x))) 2.0) (fma (- 2.0) 1 2.0) (- (* (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x))) 2.0) (fma (- 2.0) 1 2.0) (- (* (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x))) 2.0) (fma (- 2.0) 1 2.0) (- (exp x) 2.0) (fma (- 2.0) 1 2.0) (- (exp x) 2.0) (fma (- 2.0) 1 2.0) (- (exp x) 2.0) (fma (- 2.0) 1 2.0) (- (exp x) 2.0) (fma (- 2.0) 1 2.0) (- (exp x) 2.0) (fma (- 2.0) 1 2.0) (- (exp x) 2.0) (fma (- 2.0) 1 2.0) (expm1 (- (exp x) 2.0)) (log1p (- (exp x) 2.0)) (- 2.0) (- 2.0) (- 2.0) (exp (- (exp x) 2.0)) (log (- (exp x) 2.0)) (exp (- (exp x) 2.0)) (* (cbrt (- (exp x) 2.0)) (cbrt (- (exp x) 2.0))) (cbrt (- (exp x) 2.0)) (pow (- (exp x) 2.0) 3) (sqrt (- (exp x) 2.0)) (sqrt (- (exp x) 2.0)) (- (pow (exp x) 3) (pow 2.0 3)) (fma 2.0 (+ (exp x) 2.0) (exp (+ x x))) (- 2.0) (fma (- 2.0) 2.0 (exp (+ x x))) (+ (exp x) 2.0) (+ (sqrt (exp x)) (sqrt 2.0)) (- (sqrt (exp x)) (sqrt 2.0)) (- (exp x) 2.0) (- 2.0) (expm1 (exp (+ (- (exp x) 2.0) (exp (- x))))) (log1p (exp (+ (- (exp x) 2.0) (exp (- x))))) (exp (* (cbrt (+ (- (exp x) 2.0) (exp (- x)))) (cbrt (+ (- (exp x) 2.0) (exp (- x)))))) (exp (sqrt (+ (- (exp x) 2.0) (exp (- x))))) E E E (exp (- (exp x) 2.0)) (exp (exp (- x))) (exp (exp x)) (exp (- 2.0 (exp (- x)))) (+ (- (exp x) 2.0) (exp (- x))) (exp (exp (+ (- (exp x) 2.0) (exp (- x))))) (* (cbrt (exp (+ (- (exp x) 2.0) (exp (- x))))) (cbrt (exp (+ (- (exp x) 2.0) (exp (- x)))))) (cbrt (exp (+ (- (exp x) 2.0) (exp (- x))))) (pow (exp (+ (- (exp x) 2.0) (exp (- x)))) 3) (sqrt (exp (+ (- (exp x) 2.0) (exp (- x))))) (sqrt (exp (+ (- (exp x) 2.0) (exp (- x))))) (fma x x (fma 1/360 (pow x 6) (* 1/12 (pow x 4)))) (+ (- (exp x) 2.0) (exp (- x))) (+ (- (exp x) 2.0) (exp (- x))) (fma x x (fma 1/360 (pow x 6) (* 1/12 (pow x 4)))) (+ (- (exp x) 2.0) (exp (- x))) (+ (- (exp x) 2.0) (exp (- x))) (fma (pow x 2) 1/2 (- x 1.0)) (- (exp x) 2.0) (- (exp x) 2.0) (fma x x (fma 7/12 (pow x 4) 1)) (exp (+ (- (exp x) 2.0) (exp (- x)))) (exp (+ (- (exp x) 2.0) (exp (- x)))) 1.232 * * * [progress]: adding candidates to table 1.484 * * [progress]: iteration 4 / 4 1.484 * * * [progress]: picking best candidate 1.489 * * * * [pick]: Picked # 1.489 * * * [progress]: localizing error 1.500 * * * [progress]: generating rewritten candidates 1.500 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.506 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 2) 1.516 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 1.524 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 1.541 * * * [progress]: generating series expansions 1.541 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.542 * [approximate]: Taking taylor expansion of (/ (- (+ (pow (exp x) 2) 1) (* 2.0 (exp x))) (exp x)) in (x) around 0 1.542 * [taylor]: Taking taylor expansion of (/ (- (+ (pow (exp x) 2) 1) (* 2.0 (exp x))) (exp x)) in x 1.542 * [taylor]: Taking taylor expansion of (- (+ (pow (exp x) 2) 1) (* 2.0 (exp x))) in x 1.542 * [taylor]: Taking taylor expansion of (+ (pow (exp x) 2) 1) in x 1.542 * [taylor]: Taking taylor expansion of (pow (exp x) 2) in x 1.542 * [taylor]: Taking taylor expansion of (exp x) in x 1.542 * [taylor]: Taking taylor expansion of x in x 1.542 * [taylor]: Taking taylor expansion of 1 in x 1.542 * [taylor]: Taking taylor expansion of (* 2.0 (exp x)) in x 1.542 * [taylor]: Taking taylor expansion of 2.0 in x 1.542 * [taylor]: Taking taylor expansion of (exp x) in x 1.542 * [taylor]: Taking taylor expansion of x in x 1.542 * [taylor]: Taking taylor expansion of (exp x) in x 1.542 * [taylor]: Taking taylor expansion of x in x 1.552 * [taylor]: Taking taylor expansion of (/ (- (+ (pow (exp x) 2) 1) (* 2.0 (exp x))) (exp x)) in x 1.552 * [taylor]: Taking taylor expansion of (- (+ (pow (exp x) 2) 1) (* 2.0 (exp x))) in x 1.552 * [taylor]: Taking taylor expansion of (+ (pow (exp x) 2) 1) in x 1.552 * [taylor]: Taking taylor expansion of (pow (exp x) 2) in x 1.552 * [taylor]: Taking taylor expansion of (exp x) in x 1.552 * [taylor]: Taking taylor expansion of x in x 1.552 * [taylor]: Taking taylor expansion of 1 in x 1.552 * [taylor]: Taking taylor expansion of (* 2.0 (exp x)) in x 1.552 * [taylor]: Taking taylor expansion of 2.0 in x 1.552 * [taylor]: Taking taylor expansion of (exp x) in x 1.552 * [taylor]: Taking taylor expansion of x in x 1.552 * [taylor]: Taking taylor expansion of (exp x) in x 1.552 * [taylor]: Taking taylor expansion of x in x 1.598 * [approximate]: Taking taylor expansion of (/ (- (+ (pow (exp (/ 1 x)) 2) 1) (* 2.0 (exp (/ 1 x)))) (exp (/ 1 x))) in (x) around 0 1.598 * [taylor]: Taking taylor expansion of (/ (- (+ (pow (exp (/ 1 x)) 2) 1) (* 2.0 (exp (/ 1 x)))) (exp (/ 1 x))) in x 1.598 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (/ 1 x)) 2) 1) (* 2.0 (exp (/ 1 x)))) in x 1.598 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ 1 x)) 2) 1) in x 1.598 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 x)) 2) in x 1.598 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.598 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.598 * [taylor]: Taking taylor expansion of x in x 1.598 * [taylor]: Taking taylor expansion of 1 in x 1.598 * [taylor]: Taking taylor expansion of (* 2.0 (exp (/ 1 x))) in x 1.598 * [taylor]: Taking taylor expansion of 2.0 in x 1.598 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.598 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.598 * [taylor]: Taking taylor expansion of x in x 1.599 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.599 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.599 * [taylor]: Taking taylor expansion of x in x 1.600 * [taylor]: Taking taylor expansion of (/ (- (+ (pow (exp (/ 1 x)) 2) 1) (* 2.0 (exp (/ 1 x)))) (exp (/ 1 x))) in x 1.600 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (/ 1 x)) 2) 1) (* 2.0 (exp (/ 1 x)))) in x 1.600 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ 1 x)) 2) 1) in x 1.600 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 x)) 2) in x 1.600 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.600 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.600 * [taylor]: Taking taylor expansion of x in x 1.600 * [taylor]: Taking taylor expansion of 1 in x 1.600 * [taylor]: Taking taylor expansion of (* 2.0 (exp (/ 1 x))) in x 1.600 * [taylor]: Taking taylor expansion of 2.0 in x 1.600 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.600 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.600 * [taylor]: Taking taylor expansion of x in x 1.601 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.601 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.601 * [taylor]: Taking taylor expansion of x in x 1.618 * [approximate]: Taking taylor expansion of (/ (- (+ (pow (exp (/ -1 x)) 2) 1) (* 2.0 (exp (/ -1 x)))) (exp (/ -1 x))) in (x) around 0 1.618 * [taylor]: Taking taylor expansion of (/ (- (+ (pow (exp (/ -1 x)) 2) 1) (* 2.0 (exp (/ -1 x)))) (exp (/ -1 x))) in x 1.618 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (/ -1 x)) 2) 1) (* 2.0 (exp (/ -1 x)))) in x 1.618 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ -1 x)) 2) 1) in x 1.619 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 x)) 2) in x 1.619 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.619 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.619 * [taylor]: Taking taylor expansion of -1 in x 1.619 * [taylor]: Taking taylor expansion of x in x 1.619 * [taylor]: Taking taylor expansion of 1 in x 1.619 * [taylor]: Taking taylor expansion of (* 2.0 (exp (/ -1 x))) in x 1.619 * [taylor]: Taking taylor expansion of 2.0 in x 1.619 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.619 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.619 * [taylor]: Taking taylor expansion of -1 in x 1.619 * [taylor]: Taking taylor expansion of x in x 1.619 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.619 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.619 * [taylor]: Taking taylor expansion of -1 in x 1.619 * [taylor]: Taking taylor expansion of x in x 1.620 * [taylor]: Taking taylor expansion of (/ (- (+ (pow (exp (/ -1 x)) 2) 1) (* 2.0 (exp (/ -1 x)))) (exp (/ -1 x))) in x 1.620 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (/ -1 x)) 2) 1) (* 2.0 (exp (/ -1 x)))) in x 1.620 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ -1 x)) 2) 1) in x 1.620 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 x)) 2) in x 1.620 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.620 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.620 * [taylor]: Taking taylor expansion of -1 in x 1.620 * [taylor]: Taking taylor expansion of x in x 1.621 * [taylor]: Taking taylor expansion of 1 in x 1.621 * [taylor]: Taking taylor expansion of (* 2.0 (exp (/ -1 x))) in x 1.621 * [taylor]: Taking taylor expansion of 2.0 in x 1.621 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.621 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.621 * [taylor]: Taking taylor expansion of -1 in x 1.621 * [taylor]: Taking taylor expansion of x in x 1.621 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.621 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.621 * [taylor]: Taking taylor expansion of -1 in x 1.621 * [taylor]: Taking taylor expansion of x in x 1.639 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 2) 1.639 * [approximate]: Taking taylor expansion of (- (+ (pow (exp x) 2) 1) (* 2.0 (exp x))) in (x) around 0 1.639 * [taylor]: Taking taylor expansion of (- (+ (pow (exp x) 2) 1) (* 2.0 (exp x))) in x 1.639 * [taylor]: Taking taylor expansion of (+ (pow (exp x) 2) 1) in x 1.639 * [taylor]: Taking taylor expansion of (pow (exp x) 2) in x 1.639 * [taylor]: Taking taylor expansion of (exp x) in x 1.639 * [taylor]: Taking taylor expansion of x in x 1.639 * [taylor]: Taking taylor expansion of 1 in x 1.639 * [taylor]: Taking taylor expansion of (* 2.0 (exp x)) in x 1.639 * [taylor]: Taking taylor expansion of 2.0 in x 1.639 * [taylor]: Taking taylor expansion of (exp x) in x 1.639 * [taylor]: Taking taylor expansion of x in x 1.639 * [taylor]: Taking taylor expansion of (- (+ (pow (exp x) 2) 1) (* 2.0 (exp x))) in x 1.639 * [taylor]: Taking taylor expansion of (+ (pow (exp x) 2) 1) in x 1.639 * [taylor]: Taking taylor expansion of (pow (exp x) 2) in x 1.639 * [taylor]: Taking taylor expansion of (exp x) in x 1.639 * [taylor]: Taking taylor expansion of x in x 1.639 * [taylor]: Taking taylor expansion of 1 in x 1.639 * [taylor]: Taking taylor expansion of (* 2.0 (exp x)) in x 1.639 * [taylor]: Taking taylor expansion of 2.0 in x 1.639 * [taylor]: Taking taylor expansion of (exp x) in x 1.639 * [taylor]: Taking taylor expansion of x in x 1.667 * [approximate]: Taking taylor expansion of (- (+ (pow (exp (/ 1 x)) 2) 1) (* 2.0 (exp (/ 1 x)))) in (x) around 0 1.667 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (/ 1 x)) 2) 1) (* 2.0 (exp (/ 1 x)))) in x 1.667 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ 1 x)) 2) 1) in x 1.667 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 x)) 2) in x 1.667 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.667 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.667 * [taylor]: Taking taylor expansion of x in x 1.668 * [taylor]: Taking taylor expansion of 1 in x 1.668 * [taylor]: Taking taylor expansion of (* 2.0 (exp (/ 1 x))) in x 1.668 * [taylor]: Taking taylor expansion of 2.0 in x 1.668 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.668 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.668 * [taylor]: Taking taylor expansion of x in x 1.668 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (/ 1 x)) 2) 1) (* 2.0 (exp (/ 1 x)))) in x 1.668 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ 1 x)) 2) 1) in x 1.668 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 x)) 2) in x 1.668 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.668 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.668 * [taylor]: Taking taylor expansion of x in x 1.669 * [taylor]: Taking taylor expansion of 1 in x 1.669 * [taylor]: Taking taylor expansion of (* 2.0 (exp (/ 1 x))) in x 1.669 * [taylor]: Taking taylor expansion of 2.0 in x 1.669 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.669 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.669 * [taylor]: Taking taylor expansion of x in x 1.683 * [approximate]: Taking taylor expansion of (- (+ (pow (exp (/ -1 x)) 2) 1) (* 2.0 (exp (/ -1 x)))) in (x) around 0 1.683 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (/ -1 x)) 2) 1) (* 2.0 (exp (/ -1 x)))) in x 1.683 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ -1 x)) 2) 1) in x 1.683 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 x)) 2) in x 1.683 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.683 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.683 * [taylor]: Taking taylor expansion of -1 in x 1.683 * [taylor]: Taking taylor expansion of x in x 1.684 * [taylor]: Taking taylor expansion of 1 in x 1.684 * [taylor]: Taking taylor expansion of (* 2.0 (exp (/ -1 x))) in x 1.684 * [taylor]: Taking taylor expansion of 2.0 in x 1.684 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.684 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.684 * [taylor]: Taking taylor expansion of -1 in x 1.684 * [taylor]: Taking taylor expansion of x in x 1.684 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (/ -1 x)) 2) 1) (* 2.0 (exp (/ -1 x)))) in x 1.684 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ -1 x)) 2) 1) in x 1.684 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 x)) 2) in x 1.684 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.684 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.684 * [taylor]: Taking taylor expansion of -1 in x 1.684 * [taylor]: Taking taylor expansion of x in x 1.685 * [taylor]: Taking taylor expansion of 1 in x 1.685 * [taylor]: Taking taylor expansion of (* 2.0 (exp (/ -1 x))) in x 1.685 * [taylor]: Taking taylor expansion of 2.0 in x 1.685 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.685 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.685 * [taylor]: Taking taylor expansion of -1 in x 1.685 * [taylor]: Taking taylor expansion of x in x 1.699 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 1.699 * [approximate]: Taking taylor expansion of (* (exp x) (+ (exp x) 2.0)) in (x) around 0 1.700 * [taylor]: Taking taylor expansion of (* (exp x) (+ (exp x) 2.0)) in x 1.700 * [taylor]: Taking taylor expansion of (exp x) in x 1.700 * [taylor]: Taking taylor expansion of x in x 1.700 * [taylor]: Taking taylor expansion of (+ (exp x) 2.0) in x 1.700 * [taylor]: Taking taylor expansion of (exp x) in x 1.700 * [taylor]: Taking taylor expansion of x in x 1.700 * [taylor]: Taking taylor expansion of 2.0 in x 1.700 * [taylor]: Taking taylor expansion of (* (exp x) (+ (exp x) 2.0)) in x 1.700 * [taylor]: Taking taylor expansion of (exp x) in x 1.700 * [taylor]: Taking taylor expansion of x in x 1.700 * [taylor]: Taking taylor expansion of (+ (exp x) 2.0) in x 1.700 * [taylor]: Taking taylor expansion of (exp x) in x 1.700 * [taylor]: Taking taylor expansion of x in x 1.700 * [taylor]: Taking taylor expansion of 2.0 in x 1.706 * [approximate]: Taking taylor expansion of (* (+ (exp (/ 1 x)) 2.0) (exp (/ 1 x))) in (x) around 0 1.706 * [taylor]: Taking taylor expansion of (* (+ (exp (/ 1 x)) 2.0) (exp (/ 1 x))) in x 1.706 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 2.0) in x 1.706 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.707 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.707 * [taylor]: Taking taylor expansion of x in x 1.707 * [taylor]: Taking taylor expansion of 2.0 in x 1.707 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.707 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.707 * [taylor]: Taking taylor expansion of x in x 1.707 * [taylor]: Taking taylor expansion of (* (+ (exp (/ 1 x)) 2.0) (exp (/ 1 x))) in x 1.707 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 2.0) in x 1.707 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.707 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.707 * [taylor]: Taking taylor expansion of x in x 1.708 * [taylor]: Taking taylor expansion of 2.0 in x 1.708 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.708 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.708 * [taylor]: Taking taylor expansion of x in x 1.714 * [approximate]: Taking taylor expansion of (* (exp (/ -1 x)) (+ (exp (/ -1 x)) 2.0)) in (x) around 0 1.714 * [taylor]: Taking taylor expansion of (* (exp (/ -1 x)) (+ (exp (/ -1 x)) 2.0)) in x 1.714 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.714 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.714 * [taylor]: Taking taylor expansion of -1 in x 1.714 * [taylor]: Taking taylor expansion of x in x 1.715 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 2.0) in x 1.715 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.715 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.715 * [taylor]: Taking taylor expansion of -1 in x 1.715 * [taylor]: Taking taylor expansion of x in x 1.715 * [taylor]: Taking taylor expansion of 2.0 in x 1.715 * [taylor]: Taking taylor expansion of (* (exp (/ -1 x)) (+ (exp (/ -1 x)) 2.0)) in x 1.715 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.715 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.715 * [taylor]: Taking taylor expansion of -1 in x 1.715 * [taylor]: Taking taylor expansion of x in x 1.715 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 2.0) in x 1.715 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.715 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.715 * [taylor]: Taking taylor expansion of -1 in x 1.715 * [taylor]: Taking taylor expansion of x in x 1.716 * [taylor]: Taking taylor expansion of 2.0 in x 1.722 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 1.722 * [approximate]: Taking taylor expansion of (* (- (+ (pow (exp x) 2) 1) (* 2.0 (exp x))) (+ (exp x) 2.0)) in (x) around 0 1.722 * [taylor]: Taking taylor expansion of (* (- (+ (pow (exp x) 2) 1) (* 2.0 (exp x))) (+ (exp x) 2.0)) in x 1.722 * [taylor]: Taking taylor expansion of (- (+ (pow (exp x) 2) 1) (* 2.0 (exp x))) in x 1.722 * [taylor]: Taking taylor expansion of (+ (pow (exp x) 2) 1) in x 1.722 * [taylor]: Taking taylor expansion of (pow (exp x) 2) in x 1.722 * [taylor]: Taking taylor expansion of (exp x) in x 1.722 * [taylor]: Taking taylor expansion of x in x 1.722 * [taylor]: Taking taylor expansion of 1 in x 1.722 * [taylor]: Taking taylor expansion of (* 2.0 (exp x)) in x 1.722 * [taylor]: Taking taylor expansion of 2.0 in x 1.722 * [taylor]: Taking taylor expansion of (exp x) in x 1.722 * [taylor]: Taking taylor expansion of x in x 1.722 * [taylor]: Taking taylor expansion of (+ (exp x) 2.0) in x 1.722 * [taylor]: Taking taylor expansion of (exp x) in x 1.722 * [taylor]: Taking taylor expansion of x in x 1.722 * [taylor]: Taking taylor expansion of 2.0 in x 1.722 * [taylor]: Taking taylor expansion of (* (- (+ (pow (exp x) 2) 1) (* 2.0 (exp x))) (+ (exp x) 2.0)) in x 1.722 * [taylor]: Taking taylor expansion of (- (+ (pow (exp x) 2) 1) (* 2.0 (exp x))) in x 1.722 * [taylor]: Taking taylor expansion of (+ (pow (exp x) 2) 1) in x 1.722 * [taylor]: Taking taylor expansion of (pow (exp x) 2) in x 1.722 * [taylor]: Taking taylor expansion of (exp x) in x 1.722 * [taylor]: Taking taylor expansion of x in x 1.722 * [taylor]: Taking taylor expansion of 1 in x 1.722 * [taylor]: Taking taylor expansion of (* 2.0 (exp x)) in x 1.722 * [taylor]: Taking taylor expansion of 2.0 in x 1.722 * [taylor]: Taking taylor expansion of (exp x) in x 1.722 * [taylor]: Taking taylor expansion of x in x 1.722 * [taylor]: Taking taylor expansion of (+ (exp x) 2.0) in x 1.723 * [taylor]: Taking taylor expansion of (exp x) in x 1.723 * [taylor]: Taking taylor expansion of x in x 1.723 * [taylor]: Taking taylor expansion of 2.0 in x 1.765 * [approximate]: Taking taylor expansion of (* (- (+ (pow (exp (/ 1 x)) 2) 1) (* 2.0 (exp (/ 1 x)))) (+ (exp (/ 1 x)) 2.0)) in (x) around 0 1.765 * [taylor]: Taking taylor expansion of (* (- (+ (pow (exp (/ 1 x)) 2) 1) (* 2.0 (exp (/ 1 x)))) (+ (exp (/ 1 x)) 2.0)) in x 1.765 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (/ 1 x)) 2) 1) (* 2.0 (exp (/ 1 x)))) in x 1.765 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ 1 x)) 2) 1) in x 1.765 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 x)) 2) in x 1.765 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.765 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.765 * [taylor]: Taking taylor expansion of x in x 1.766 * [taylor]: Taking taylor expansion of 1 in x 1.766 * [taylor]: Taking taylor expansion of (* 2.0 (exp (/ 1 x))) in x 1.766 * [taylor]: Taking taylor expansion of 2.0 in x 1.766 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.766 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.766 * [taylor]: Taking taylor expansion of x in x 1.766 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 2.0) in x 1.766 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.766 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.766 * [taylor]: Taking taylor expansion of x in x 1.766 * [taylor]: Taking taylor expansion of 2.0 in x 1.767 * [taylor]: Taking taylor expansion of (* (- (+ (pow (exp (/ 1 x)) 2) 1) (* 2.0 (exp (/ 1 x)))) (+ (exp (/ 1 x)) 2.0)) in x 1.767 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (/ 1 x)) 2) 1) (* 2.0 (exp (/ 1 x)))) in x 1.767 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ 1 x)) 2) 1) in x 1.767 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 x)) 2) in x 1.767 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.767 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.767 * [taylor]: Taking taylor expansion of x in x 1.767 * [taylor]: Taking taylor expansion of 1 in x 1.767 * [taylor]: Taking taylor expansion of (* 2.0 (exp (/ 1 x))) in x 1.767 * [taylor]: Taking taylor expansion of 2.0 in x 1.767 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.767 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.767 * [taylor]: Taking taylor expansion of x in x 1.767 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 2.0) in x 1.767 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.767 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.767 * [taylor]: Taking taylor expansion of x in x 1.768 * [taylor]: Taking taylor expansion of 2.0 in x 1.789 * [approximate]: Taking taylor expansion of (* (+ (exp (/ -1 x)) 2.0) (- (+ (pow (exp (/ -1 x)) 2) 1) (* 2.0 (exp (/ -1 x))))) in (x) around 0 1.789 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 x)) 2.0) (- (+ (pow (exp (/ -1 x)) 2) 1) (* 2.0 (exp (/ -1 x))))) in x 1.789 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 2.0) in x 1.789 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.789 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.789 * [taylor]: Taking taylor expansion of -1 in x 1.789 * [taylor]: Taking taylor expansion of x in x 1.789 * [taylor]: Taking taylor expansion of 2.0 in x 1.789 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (/ -1 x)) 2) 1) (* 2.0 (exp (/ -1 x)))) in x 1.789 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ -1 x)) 2) 1) in x 1.789 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 x)) 2) in x 1.789 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.789 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.789 * [taylor]: Taking taylor expansion of -1 in x 1.789 * [taylor]: Taking taylor expansion of x in x 1.790 * [taylor]: Taking taylor expansion of 1 in x 1.790 * [taylor]: Taking taylor expansion of (* 2.0 (exp (/ -1 x))) in x 1.790 * [taylor]: Taking taylor expansion of 2.0 in x 1.790 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.790 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.790 * [taylor]: Taking taylor expansion of -1 in x 1.790 * [taylor]: Taking taylor expansion of x in x 1.790 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 x)) 2.0) (- (+ (pow (exp (/ -1 x)) 2) 1) (* 2.0 (exp (/ -1 x))))) in x 1.790 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 2.0) in x 1.790 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.790 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.790 * [taylor]: Taking taylor expansion of -1 in x 1.790 * [taylor]: Taking taylor expansion of x in x 1.791 * [taylor]: Taking taylor expansion of 2.0 in x 1.791 * [taylor]: Taking taylor expansion of (- (+ (pow (exp (/ -1 x)) 2) 1) (* 2.0 (exp (/ -1 x)))) in x 1.791 * [taylor]: Taking taylor expansion of (+ (pow (exp (/ -1 x)) 2) 1) in x 1.791 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 x)) 2) in x 1.791 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.791 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.791 * [taylor]: Taking taylor expansion of -1 in x 1.791 * [taylor]: Taking taylor expansion of x in x 1.791 * [taylor]: Taking taylor expansion of 1 in x 1.791 * [taylor]: Taking taylor expansion of (* 2.0 (exp (/ -1 x))) in x 1.791 * [taylor]: Taking taylor expansion of 2.0 in x 1.791 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.791 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.791 * [taylor]: Taking taylor expansion of -1 in x 1.791 * [taylor]: Taking taylor expansion of x in x 1.812 * * * [progress]: simplifying candidates 1.814 * [simplify]: Simplifying using # : (expm1 (log (exp (/ (* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1)) (* (+ (exp x) 2.0) (exp x)))))) (log1p (log (exp (/ (* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1)) (* (+ (exp x) 2.0) (exp x)))))) (log (* (cbrt (exp (/ (* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1)) (* (+ (exp x) 2.0) (exp x))))) (cbrt (exp (/ (* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1)) (* (+ (exp x) 2.0) (exp x))))))) (log (cbrt (exp (/ (* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1)) (* (+ (exp x) 2.0) (exp x)))))) (log (sqrt (exp (/ (* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1)) (* (+ (exp x) 2.0) (exp x)))))) (log (sqrt (exp (/ (* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1)) (* (+ (exp x) 2.0) (exp x)))))) (log 1) (log (exp (/ (* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1)) (* (+ (exp x) 2.0) (exp x))))) (log (exp (/ (* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1)) (* (+ (exp x) 2.0) (exp x))))) (log (exp (* (cbrt (/ (* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1)) (* (+ (exp x) 2.0) (exp x)))) (cbrt (/ (* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1)) (* (+ (exp x) 2.0) (exp x))))))) (log (exp (sqrt (/ (* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1)) (* (+ (exp x) 2.0) (exp x)))))) (log (exp (/ (+ (exp x) 2.0) (+ (exp x) 2.0)))) (log (exp 1)) (log (exp (* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1)))) (log (exp (/ (* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1)) (* (+ (pow (exp x) 3) (pow 2.0 3)) (exp x))))) (log (exp (/ (* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1)) (* (- (* (exp x) (exp x)) (* 2.0 2.0)) (exp x))))) (log (log (exp (/ (* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1)) (* (+ (exp x) 2.0) (exp x)))))) (exp (log (exp (/ (* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1)) (* (+ (exp x) 2.0) (exp x)))))) (* (cbrt (log (exp (/ (* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1)) (* (+ (exp x) 2.0) (exp x)))))) (cbrt (log (exp (/ (* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1)) (* (+ (exp x) 2.0) (exp x))))))) (cbrt (log (exp (/ (* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1)) (* (+ (exp x) 2.0) (exp x)))))) (* (* (log (exp (/ (* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1)) (* (+ (exp x) 2.0) (exp x))))) (log (exp (/ (* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1)) (* (+ (exp x) 2.0) (exp x)))))) (log (exp (/ (* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1)) (* (+ (exp x) 2.0) (exp x)))))) (sqrt (log (exp (/ (* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 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2.0))) (+ (exp x) 2.0) (* (+ (exp x) 2.0) (* (cbrt (+ (* (exp x) (- (exp x) 2.0)) 1)) (cbrt (+ (* (exp x) (- (exp x) 2.0)) 1)))) (* (+ (exp x) 2.0) (sqrt (+ (* (exp x) (- (exp x) 2.0)) 1))) (+ (exp x) 2.0) (* (fma (exp x) (- (exp x) 2.0) 1) (cbrt (+ (exp x) 2.0))) (* (fma (exp x) (- (exp x) 2.0) 1) (sqrt (+ (exp x) 2.0))) (* (fma (exp x) (- (exp x) 2.0) 1) (+ (exp x) 2.0)) (* (fma (exp x) (- (exp x) 2.0) 1) (+ (exp x) 2.0)) (* (+ (exp x) 2.0) (+ (pow (* (exp x) (- (exp x) 2.0)) 3) 1)) (* (+ (exp x) 2.0) (fma (pow (exp x) 2) (* (- (exp x) 2.0) (- (exp x) 2.0)) (- 1))) (* (fma (exp x) (- (exp x) 2.0) 1) (+ (pow (exp x) 3) (pow 2.0 3))) (* (fma (exp x) (- (exp x) 2.0) 1) (- (* (exp x) (exp x)) (* 2.0 2.0))) (fma 1.0 (pow x 2) (fma 8.326672684688674e-17 (pow x 5) (* 0.08333333333333326 (pow x 4)))) (/ (fma (exp x) (- (exp x) 2.0) 1) (exp x)) (/ (fma (exp x) (- (exp x) 2.0) 1) (exp x)) (fma 1.0 (pow x 2) (fma 1.0 (pow x 3) (* 0.5833333333333333 (pow x 4)))) (fma (exp x) (- (exp x) 2.0) 1) (fma (exp x) (- (exp x) 2.0) 1) (fma 3.0 (pow x 2) (fma 4.0 x 3.0)) (* (exp x) (+ (exp x) 2.0)) (* (exp x) (+ (exp x) 2.0)) (fma 3.0 (pow x 2) (fma 4.0 (pow x 3) (* 3.25 (pow x 4)))) (* (fma (exp x) (- (exp x) 2.0) 1) (+ (exp x) 2.0)) (* (fma (exp x) (- (exp x) 2.0) 1) (+ (exp x) 2.0)) 1.897 * * * [progress]: adding candidates to table 2.258 * [progress]: [Phase 3 of 3] Extracting. 2.258 * * [regime]: Finding splitpoints for: (# # # #) 2.259 * * * [regime-changes]: Trying 1 branch expressions: (x) 2.259 * * * * [regimes]: Trying to branch on x from (# # # #) 2.275 * * * [regime]: Found split indices: #