9.696 * [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))) 0.076 * [simplify]: Sending expressions to egg_math: (+ (- (exp h0) h1) (exp (- h0))) 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) 0.360 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.374 * * * [progress]: generating series expansions 0.374 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.374 * [approximate]: Taking taylor expansion of (- (+ (exp x) (exp (- x))) 2.0) in (x) around 0 0.374 * [taylor]: Taking taylor expansion of (- (+ (exp x) (exp (- x))) 2.0) in x 0.374 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.374 * [taylor]: Taking taylor expansion of (exp x) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.374 * [taylor]: Taking taylor expansion of (- x) in x 0.374 * [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 x) (exp (- x))) 2.0) in x 0.375 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.375 * [taylor]: Taking taylor expansion of (exp x) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.375 * [taylor]: Taking taylor expansion of (- x) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of 2.0 in x 0.416 * [approximate]: Taking taylor expansion of (- (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 2.0) in (x) around 0 0.416 * [taylor]: Taking taylor expansion of (- (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 2.0) in x 0.416 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.416 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.416 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.416 * [taylor]: Taking taylor expansion of x in x 0.416 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.416 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.416 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.416 * [taylor]: Taking taylor expansion of x in x 0.417 * [taylor]: Taking taylor expansion of 2.0 in x 0.417 * [taylor]: Taking taylor expansion of (- (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 2.0) in x 0.417 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.417 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.417 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.417 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.417 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.417 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.418 * [taylor]: Taking taylor expansion of 2.0 in x 0.422 * [approximate]: Taking taylor expansion of (- (+ (exp (/ 1 x)) (exp (/ -1 x))) 2.0) in (x) around 0 0.422 * [taylor]: Taking taylor expansion of (- (+ (exp (/ 1 x)) (exp (/ -1 x))) 2.0) in x 0.422 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.422 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.422 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.422 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.422 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.422 * [taylor]: Taking taylor expansion of -1 in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.423 * [taylor]: Taking taylor expansion of 2.0 in x 0.423 * [taylor]: Taking taylor expansion of (- (+ (exp (/ 1 x)) (exp (/ -1 x))) 2.0) in x 0.423 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.423 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.423 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.423 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.423 * [taylor]: Taking taylor expansion of -1 in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [taylor]: Taking taylor expansion of 2.0 in x 0.428 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.428 * [approximate]: Taking taylor expansion of (- (exp x) 2.0) in (x) around 0 0.428 * [taylor]: Taking taylor expansion of (- (exp x) 2.0) in x 0.428 * [taylor]: Taking taylor expansion of (exp x) in x 0.428 * [taylor]: Taking taylor expansion of x in x 0.428 * [taylor]: Taking taylor expansion of 2.0 in x 0.428 * [taylor]: Taking taylor expansion of (- (exp x) 2.0) in x 0.428 * [taylor]: Taking taylor expansion of (exp x) in x 0.428 * [taylor]: Taking taylor expansion of x in x 0.428 * [taylor]: Taking taylor expansion of 2.0 in x 0.431 * [approximate]: Taking taylor expansion of (- (exp (/ 1 x)) 2.0) in (x) around 0 0.431 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 2.0) in x 0.431 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.431 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.432 * [taylor]: Taking taylor expansion of 2.0 in x 0.432 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 2.0) in x 0.432 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.432 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.432 * [taylor]: Taking taylor expansion of 2.0 in x 0.435 * [approximate]: Taking taylor expansion of (- (exp (/ -1 x)) 2.0) in (x) around 0 0.435 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 2.0) in x 0.435 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.435 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.435 * [taylor]: Taking taylor expansion of -1 in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.435 * [taylor]: Taking taylor expansion of 2.0 in x 0.435 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 2.0) in x 0.435 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.435 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.435 * [taylor]: Taking taylor expansion of -1 in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.436 * [taylor]: Taking taylor expansion of 2.0 in x 0.439 * * * [progress]: simplifying candidates 0.440 * [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) 0.440 * [simplify]: Sending expressions to egg_math: (expm1 (+ (- (exp h0) h1) (exp (- h0)))) (log1p (+ (- (exp h0) h1) (exp (- h0)))) (* (/ (exp (exp h0)) (exp h1)) (exp (exp (- h0)))) (* (exp (- (exp h0) h1)) (exp (exp (- h0)))) (log (+ (- (exp h0) h1) (exp (- h0)))) (exp (+ (- (exp h0) h1) (exp (- h0)))) (* (cbrt (+ (- (exp h0) h1) (exp (- h0)))) (cbrt (+ (- (exp h0) h1) (exp (- h0))))) (cbrt (+ (- (exp h0) h1) (exp (- h0)))) (* (* (+ (- (exp h0) h1) (exp (- h0))) (+ (- (exp h0) h1) (exp (- h0)))) (+ (- (exp h0) h1) (exp (- h0)))) (sqrt (+ (- (exp h0) h1) (exp (- h0)))) (sqrt (+ (- (exp h0) h1) (exp (- h0)))) (+ (* (- (pow (exp h0) 3) (pow h1 3)) (exp h0)) (* (+ (* (exp h0) (exp h0)) (+ (* h1 h1) (* (exp h0) h1))) 1)) (* (+ (* (exp h0) (exp h0)) (+ (* h1 h1) (* (exp h0) h1))) (exp h0)) (+ (* (- (pow (exp h0) 3) (pow h1 3)) (exp h0)) (* (+ (* (exp h0) (exp h0)) (+ (* h1 h1) (* (exp h0) h1))) (exp 0))) (* (+ (* (exp h0) (exp h0)) (+ (* h1 h1) (* (exp h0) h1))) (exp h0)) (+ (* (- (* (exp h0) (exp h0)) (* h1 h1)) (exp h0)) (* (+ (exp h0) h1) 1)) (* (+ (exp h0) h1) (exp h0)) (+ (* (- (* (exp h0) (exp h0)) (* h1 h1)) (exp h0)) (* (+ (exp h0) h1) (exp 0))) (* (+ (exp h0) h1) (exp h0)) (+ (pow (- (exp h0) h1) 3) (pow (exp (- h0)) 3)) (+ (* (- (exp h0) h1) (- (exp h0) h1)) (- (* (exp (- h0)) (exp (- h0))) (* (- (exp h0) h1) (exp (- h0))))) (- (* (- (exp h0) h1) (- (exp h0) h1)) (* (exp (- h0)) (exp (- h0)))) (- (- (exp h0) h1) (exp (- h0))) (+ (- (exp h0) h1) (exp (- h0))) (+ (- (exp h0) h1) (exp (- h0))) (+ (fma (- (cbrt h1)) (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (* (cbrt h1) (cbrt h1)))) (exp (- h0))) (+ (fma (- (sqrt h1)) (sqrt h1) (* (sqrt h1) (sqrt h1))) (exp (- h0))) (+ (fma (- h1) 1 (* h1 1)) (exp (- h0))) (+ (fma (- (cbrt h1)) (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (* (cbrt h1) (cbrt h1)))) (exp (- h0))) (+ (fma (- (sqrt h1)) (sqrt h1) (* (sqrt h1) (sqrt h1))) (exp (- h0))) (+ (fma (- h1) 1 (* h1 1)) (exp (- h0))) (+ (fma (- (cbrt h1)) (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (* (cbrt h1) (cbrt h1)))) (exp (- h0))) (+ (fma (- (sqrt h1)) (sqrt h1) (* (sqrt h1) (sqrt h1))) (exp (- h0))) (+ (fma (- h1) 1 (* h1 1)) (exp (- h0))) (+ (- h1) (exp (- h0))) (+ (- h1) (exp (- h0))) (- h1 (exp (- h0))) (fma (* (cbrt (exp h0)) (cbrt (exp h0))) (cbrt (exp h0)) (- (* (cbrt h1) (* (cbrt h1) (cbrt h1))))) (fma (- (cbrt h1)) (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (* (cbrt h1) (cbrt h1)))) (fma (* (cbrt (exp h0)) (cbrt (exp h0))) (cbrt (exp h0)) (- (* (sqrt h1) (sqrt h1)))) (fma (- (sqrt h1)) (sqrt h1) (* (sqrt h1) (sqrt h1))) (fma (* (cbrt (exp h0)) (cbrt (exp h0))) (cbrt (exp h0)) (- (* h1 1))) (fma (- h1) 1 (* h1 1)) (fma (sqrt (exp h0)) (sqrt (exp h0)) (- (* (cbrt h1) (* (cbrt h1) (cbrt h1))))) (fma (- (cbrt h1)) (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (* (cbrt h1) (cbrt h1)))) (fma (sqrt (exp h0)) (sqrt (exp h0)) (- (* (sqrt h1) (sqrt h1)))) (fma (- (sqrt h1)) (sqrt h1) (* (sqrt h1) (sqrt h1))) (fma (sqrt (exp h0)) (sqrt (exp h0)) (- (* h1 1))) (fma (- h1) 1 (* h1 1)) (fma 1 (exp h0) (- (* (cbrt h1) (* (cbrt h1) (cbrt h1))))) (fma (- (cbrt h1)) (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (* (cbrt h1) (cbrt h1)))) (fma 1 (exp h0) (- (* (sqrt h1) (sqrt h1)))) (fma (- (sqrt h1)) (sqrt h1) (* (sqrt h1) (sqrt h1))) (fma 1 (exp h0) (- (* h1 1))) (fma (- h1) 1 (* h1 1)) (expm1 (- (exp h0) h1)) (log1p (- (exp h0) h1)) (- h1) (- h1) (- h1) (/ (exp (exp h0)) (exp h1)) (log (- (exp h0) h1)) (exp (- (exp h0) h1)) (* (cbrt (- (exp h0) h1)) (cbrt (- (exp h0) h1))) (cbrt (- (exp h0) h1)) (* (* (- (exp h0) h1) (- (exp h0) h1)) (- (exp h0) h1)) (sqrt (- (exp h0) h1)) (sqrt (- (exp h0) h1)) (- (pow (exp h0) 3) (pow h1 3)) (+ (* (exp h0) (exp h0)) (+ (* h1 h1) (* (exp h0) h1))) (- h1) (- (* (exp h0) (exp h0)) (* h1 h1)) (+ (exp h0) h1) (+ (sqrt (exp h0)) (sqrt h1)) (- (sqrt (exp h0)) (sqrt h1)) (- (exp h0) h1) (- h1) (+ (pow h0 2) (+ (* 1/360 (pow h0 6)) (* 1/12 (pow h0 4)))) (- (+ (exp h0) (exp (- h0))) h1) (- (+ (exp (* -1 h0)) (exp h0)) h1) (- (+ (* 1/2 (pow h0 2)) h0) h2) (- (exp h0) h1) (- (exp h0) h1) 0.444 * * [simplify]: iteration 0 : 282 enodes (cost 506 ) 0.449 * * [simplify]: iteration 1 : 1008 enodes (cost 381 ) 0.469 * * [simplify]: iteration 2 : 5001 enodes (cost 367 ) 0.471 * [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) 0.472 * * * [progress]: adding candidates to table 0.620 * * [progress]: iteration 2 / 4 0.620 * * * [progress]: picking best candidate 0.624 * * * * [pick]: Picked # 0.624 * * * [progress]: localizing error 0.633 * * * [progress]: generating rewritten candidates 0.633 * * * * [progress]: [ 1 / 2 ] rewriting at (2 3 3) 0.644 * * * * [progress]: [ 2 / 2 ] rewriting at (2 3) 0.645 * * * [progress]: generating series expansions 0.645 * * * * [progress]: [ 1 / 2 ] generating series at (2 3 3) 0.645 * [approximate]: Taking taylor expansion of (* 1/12 (pow x 4)) in (x) around 0 0.645 * [taylor]: Taking taylor expansion of (* 1/12 (pow x 4)) in x 0.645 * [taylor]: Taking taylor expansion of 1/12 in x 0.645 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.645 * [taylor]: Taking taylor expansion of x in x 0.645 * [taylor]: Taking taylor expansion of (* 1/12 (pow x 4)) in x 0.645 * [taylor]: Taking taylor expansion of 1/12 in x 0.645 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.645 * [taylor]: Taking taylor expansion of x in x 0.660 * [approximate]: Taking taylor expansion of (/ 1/12 (pow x 4)) in (x) around 0 0.660 * [taylor]: Taking taylor expansion of (/ 1/12 (pow x 4)) in x 0.660 * [taylor]: Taking taylor expansion of 1/12 in x 0.660 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.660 * [taylor]: Taking taylor expansion of x in x 0.661 * [taylor]: Taking taylor expansion of (/ 1/12 (pow x 4)) in x 0.661 * [taylor]: Taking taylor expansion of 1/12 in x 0.661 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.661 * [taylor]: Taking taylor expansion of x in x 0.671 * [approximate]: Taking taylor expansion of (/ 1/12 (pow x 4)) in (x) around 0 0.671 * [taylor]: Taking taylor expansion of (/ 1/12 (pow x 4)) in x 0.671 * [taylor]: Taking taylor expansion of 1/12 in x 0.671 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.671 * [taylor]: Taking taylor expansion of x in x 0.672 * [taylor]: Taking taylor expansion of (/ 1/12 (pow x 4)) in x 0.672 * [taylor]: Taking taylor expansion of 1/12 in x 0.672 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.672 * [taylor]: Taking taylor expansion of x in x 0.683 * * * * [progress]: [ 2 / 2 ] generating series at (2 3) 0.683 * [approximate]: Taking taylor expansion of (fma 1/360 (pow x 6) (* 1/12 (pow x 4))) in (x) around 0 0.683 * [taylor]: Taking taylor expansion of (fma 1/360 (pow x 6) (* 1/12 (pow x 4))) in x 0.683 * [taylor]: Rewrote expression to (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))) 0.683 * [taylor]: Taking taylor expansion of (* 1/360 (pow x 6)) in x 0.683 * [taylor]: Taking taylor expansion of 1/360 in x 0.683 * [taylor]: Taking taylor expansion of (pow x 6) in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.683 * [taylor]: Taking taylor expansion of (* 1/12 (pow x 4)) in x 0.683 * [taylor]: Taking taylor expansion of 1/12 in x 0.683 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.683 * [taylor]: Taking taylor expansion of (fma 1/360 (pow x 6) (* 1/12 (pow x 4))) in x 0.683 * [taylor]: Rewrote expression to (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))) 0.683 * [taylor]: Taking taylor expansion of (* 1/360 (pow x 6)) in x 0.683 * [taylor]: Taking taylor expansion of 1/360 in x 0.683 * [taylor]: Taking taylor expansion of (pow x 6) in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.683 * [taylor]: Taking taylor expansion of (* 1/12 (pow x 4)) in x 0.683 * [taylor]: Taking taylor expansion of 1/12 in x 0.683 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.715 * [approximate]: Taking taylor expansion of (fma 1/360 (pow (/ 1 x) 6) (/ 1/12 (pow x 4))) in (x) around 0 0.716 * [taylor]: Taking taylor expansion of (fma 1/360 (pow (/ 1 x) 6) (/ 1/12 (pow x 4))) in x 0.716 * [taylor]: Rewrote expression to (+ (* 1/360 (pow (/ 1 x) 6)) (/ 1/12 (pow x 4))) 0.716 * [taylor]: Taking taylor expansion of (* 1/360 (pow (/ 1 x) 6)) in x 0.716 * [taylor]: Taking taylor expansion of 1/360 in x 0.716 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 6) in x 0.716 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.716 * [taylor]: Taking taylor expansion of x in x 0.716 * [taylor]: Taking taylor expansion of (/ 1/12 (pow x 4)) in x 0.716 * [taylor]: Taking taylor expansion of 1/12 in x 0.716 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.716 * [taylor]: Taking taylor expansion of x in x 0.717 * [taylor]: Taking taylor expansion of (fma 1/360 (pow (/ 1 x) 6) (/ 1/12 (pow x 4))) in x 0.717 * [taylor]: Rewrote expression to (+ (* 1/360 (pow (/ 1 x) 6)) (/ 1/12 (pow x 4))) 0.717 * [taylor]: Taking taylor expansion of (* 1/360 (pow (/ 1 x) 6)) in x 0.717 * [taylor]: Taking taylor expansion of 1/360 in x 0.717 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 6) in x 0.717 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.717 * [taylor]: Taking taylor expansion of x in x 0.717 * [taylor]: Taking taylor expansion of (/ 1/12 (pow x 4)) in x 0.717 * [taylor]: Taking taylor expansion of 1/12 in x 0.717 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.717 * [taylor]: Taking taylor expansion of x in x 0.759 * [approximate]: Taking taylor expansion of (fma 1/360 (pow (/ -1 x) 6) (/ 1/12 (pow x 4))) in (x) around 0 0.760 * [taylor]: Taking taylor expansion of (fma 1/360 (pow (/ -1 x) 6) (/ 1/12 (pow x 4))) in x 0.760 * [taylor]: Rewrote expression to (+ (* 1/360 (pow (/ -1 x) 6)) (/ 1/12 (pow x 4))) 0.760 * [taylor]: Taking taylor expansion of (* 1/360 (pow (/ -1 x) 6)) in x 0.760 * [taylor]: Taking taylor expansion of 1/360 in x 0.760 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 6) in x 0.760 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.760 * [taylor]: Taking taylor expansion of -1 in x 0.760 * [taylor]: Taking taylor expansion of x in x 0.760 * [taylor]: Taking taylor expansion of (/ 1/12 (pow x 4)) in x 0.760 * [taylor]: Taking taylor expansion of 1/12 in x 0.760 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.760 * [taylor]: Taking taylor expansion of x in x 0.761 * [taylor]: Taking taylor expansion of (fma 1/360 (pow (/ -1 x) 6) (/ 1/12 (pow x 4))) in x 0.761 * [taylor]: Rewrote expression to (+ (* 1/360 (pow (/ -1 x) 6)) (/ 1/12 (pow x 4))) 0.761 * [taylor]: Taking taylor expansion of (* 1/360 (pow (/ -1 x) 6)) in x 0.761 * [taylor]: Taking taylor expansion of 1/360 in x 0.761 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 6) in x 0.761 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.761 * [taylor]: Taking taylor expansion of -1 in x 0.761 * [taylor]: Taking taylor expansion of x in x 0.761 * [taylor]: Taking taylor expansion of (/ 1/12 (pow x 4)) in x 0.761 * [taylor]: Taking taylor expansion of 1/12 in x 0.761 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.762 * [taylor]: Taking taylor expansion of x in x 0.799 * * * [progress]: simplifying candidates 0.800 * [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))) 0.800 * [simplify]: Sending expressions to egg_math: (expm1 (* 1/12 (pow h0 4))) (log1p (* 1/12 (pow h0 4))) (+ (log 1/12) (* (log h0) 4)) (+ (log 1/12) (* (log h0) 4)) (+ (log 1/12) (log (pow h0 4))) (log (* 1/12 (pow h0 4))) (exp (* 1/12 (pow h0 4))) (* (* (* 1/12 1/12) 1/12) (* (* (pow h0 4) (pow h0 4)) (pow h0 4))) (* (cbrt (* 1/12 (pow h0 4))) (cbrt (* 1/12 (pow h0 4)))) (cbrt (* 1/12 (pow h0 4))) (* (* (* 1/12 (pow h0 4)) (* 1/12 (pow h0 4))) (* 1/12 (pow h0 4))) (sqrt (* 1/12 (pow h0 4))) (sqrt (* 1/12 (pow h0 4))) (* (sqrt 1/12) (pow (sqrt h0) 4)) (* (sqrt 1/12) (pow (sqrt h0) 4)) (* (sqrt 1/12) (sqrt (pow h0 4))) (* (sqrt 1/12) (sqrt (pow h0 4))) (* (sqrt 1/12) (pow h0 (/ 4 2))) (* (sqrt 1/12) (pow h0 (/ 4 2))) (* 1/12 (pow (* (cbrt h0) (cbrt h0)) 4)) (* 1/12 (pow (sqrt h0) 4)) (* 1/12 (pow 1 4)) (* 1/12 (* (cbrt (pow h0 4)) (cbrt (pow h0 4)))) (* 1/12 (sqrt (pow h0 4))) (* 1/12 1) (* 1/12 (pow h0 (/ 4 2))) (* (cbrt 1/12) (pow h0 4)) (* (sqrt 1/12) (pow h0 4)) (* 1/12 (pow h0 4)) (expm1 (fma 1/360 (pow h0 6) (* 1/12 (pow h0 4)))) (log1p (fma 1/360 (pow h0 6) (* 1/12 (pow h0 4)))) (* 1/360 (pow h0 6)) (log (fma 1/360 (pow h0 6) (* 1/12 (pow h0 4)))) (exp (fma 1/360 (pow h0 6) (* 1/12 (pow h0 4)))) (* (cbrt (fma 1/360 (pow h0 6) (* 1/12 (pow h0 4)))) (cbrt (fma 1/360 (pow h0 6) (* 1/12 (pow h0 4))))) (cbrt (fma 1/360 (pow h0 6) (* 1/12 (pow h0 4)))) (* (* (fma 1/360 (pow h0 6) (* 1/12 (pow h0 4))) (fma 1/360 (pow h0 6) (* 1/12 (pow h0 4)))) (fma 1/360 (pow h0 6) (* 1/12 (pow h0 4)))) (sqrt (fma 1/360 (pow h0 6) (* 1/12 (pow h0 4)))) (sqrt (fma 1/360 (pow h0 6) (* 1/12 (pow h0 4)))) (* 1/12 (pow h0 4)) (* 1/12 (pow h0 4)) (* 1/12 (pow h0 4)) (+ (* 1/360 (pow h0 6)) (* 1/12 (pow h0 4))) (+ (* 1/360 (pow h0 6)) (* 1/12 (pow h0 4))) (+ (* 1/360 (pow h0 6)) (* 1/12 (pow h0 4))) 0.803 * * [simplify]: iteration 0 : 123 enodes (cost 177 ) 0.806 * * [simplify]: iteration 1 : 469 enodes (cost 163 ) 0.817 * * [simplify]: iteration 2 : 2175 enodes (cost 160 ) 0.882 * * [simplify]: iteration 3 : 5002 enodes (cost 160 ) 0.883 * [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))) 0.884 * * * [progress]: adding candidates to table 0.984 * * [progress]: iteration 3 / 4 0.984 * * * [progress]: picking best candidate 0.986 * * * * [pick]: Picked # 0.986 * * * [progress]: localizing error 0.995 * * * [progress]: generating rewritten candidates 0.995 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.023 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 1.039 * * * [progress]: generating series expansions 1.039 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.039 * [approximate]: Taking taylor expansion of (- (+ (exp (* -1 x)) (exp x)) 2.0) in (x) around 0 1.039 * [taylor]: Taking taylor expansion of (- (+ (exp (* -1 x)) (exp x)) 2.0) in x 1.039 * [taylor]: Taking taylor expansion of (+ (exp (* -1 x)) (exp x)) in x 1.039 * [taylor]: Taking taylor expansion of (exp (* -1 x)) in x 1.039 * [taylor]: Taking taylor expansion of (* -1 x) in x 1.039 * [taylor]: Taking taylor expansion of -1 in x 1.039 * [taylor]: Taking taylor expansion of x in x 1.040 * [taylor]: Taking taylor expansion of (exp x) in x 1.040 * [taylor]: Taking taylor expansion of x in x 1.040 * [taylor]: Taking taylor expansion of 2.0 in x 1.040 * [taylor]: Taking taylor expansion of (- (+ (exp (* -1 x)) (exp x)) 2.0) in x 1.040 * [taylor]: Taking taylor expansion of (+ (exp (* -1 x)) (exp x)) in x 1.040 * [taylor]: Taking taylor expansion of (exp (* -1 x)) in x 1.040 * [taylor]: Taking taylor expansion of (* -1 x) in x 1.040 * [taylor]: Taking taylor expansion of -1 in x 1.040 * [taylor]: Taking taylor expansion of x in x 1.041 * [taylor]: Taking taylor expansion of (exp x) in x 1.041 * [taylor]: Taking taylor expansion of x in x 1.041 * [taylor]: Taking taylor expansion of 2.0 in x 1.077 * [approximate]: Taking taylor expansion of (- (+ (exp (/ 1 x)) (exp (/ -1 x))) 2.0) in (x) around 0 1.077 * [taylor]: Taking taylor expansion of (- (+ (exp (/ 1 x)) (exp (/ -1 x))) 2.0) in x 1.077 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.077 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.077 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.077 * [taylor]: Taking taylor expansion of x in x 1.078 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.078 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.078 * [taylor]: Taking taylor expansion of -1 in x 1.078 * [taylor]: Taking taylor expansion of x in x 1.078 * [taylor]: Taking taylor expansion of 2.0 in x 1.078 * [taylor]: Taking taylor expansion of (- (+ (exp (/ 1 x)) (exp (/ -1 x))) 2.0) in x 1.078 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.078 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.078 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.078 * [taylor]: Taking taylor expansion of x in x 1.078 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.078 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.078 * [taylor]: Taking taylor expansion of -1 in x 1.078 * [taylor]: Taking taylor expansion of x in x 1.079 * [taylor]: Taking taylor expansion of 2.0 in x 1.083 * [approximate]: Taking taylor expansion of (- (+ (exp (/ 1 x)) (exp (/ -1 x))) 2.0) in (x) around 0 1.083 * [taylor]: Taking taylor expansion of (- (+ (exp (/ 1 x)) (exp (/ -1 x))) 2.0) in x 1.083 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.083 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.083 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.083 * [taylor]: Taking taylor expansion of x in x 1.084 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.084 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.084 * [taylor]: Taking taylor expansion of -1 in x 1.084 * [taylor]: Taking taylor expansion of x in x 1.084 * [taylor]: Taking taylor expansion of 2.0 in x 1.084 * [taylor]: Taking taylor expansion of (- (+ (exp (/ 1 x)) (exp (/ -1 x))) 2.0) in x 1.084 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.084 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.084 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.084 * [taylor]: Taking taylor expansion of x in x 1.084 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.084 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.084 * [taylor]: Taking taylor expansion of -1 in x 1.084 * [taylor]: Taking taylor expansion of x in x 1.085 * [taylor]: Taking taylor expansion of 2.0 in x 1.089 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 1.089 * [approximate]: Taking taylor expansion of (- (exp (* -1 x)) 2.0) in (x) around 0 1.089 * [taylor]: Taking taylor expansion of (- (exp (* -1 x)) 2.0) in x 1.089 * [taylor]: Taking taylor expansion of (exp (* -1 x)) in x 1.089 * [taylor]: Taking taylor expansion of (* -1 x) in x 1.089 * [taylor]: Taking taylor expansion of -1 in x 1.089 * [taylor]: Taking taylor expansion of x in x 1.090 * [taylor]: Taking taylor expansion of 2.0 in x 1.090 * [taylor]: Taking taylor expansion of (- (exp (* -1 x)) 2.0) in x 1.090 * [taylor]: Taking taylor expansion of (exp (* -1 x)) in x 1.090 * [taylor]: Taking taylor expansion of (* -1 x) in x 1.090 * [taylor]: Taking taylor expansion of -1 in x 1.090 * [taylor]: Taking taylor expansion of x in x 1.090 * [taylor]: Taking taylor expansion of 2.0 in x 1.095 * [approximate]: Taking taylor expansion of (- (exp (/ -1 x)) 2.0) in (x) around 0 1.095 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 2.0) in x 1.095 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.095 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.095 * [taylor]: Taking taylor expansion of -1 in x 1.095 * [taylor]: Taking taylor expansion of x in x 1.095 * [taylor]: Taking taylor expansion of 2.0 in x 1.095 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 2.0) in x 1.095 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.095 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.095 * [taylor]: Taking taylor expansion of -1 in x 1.095 * [taylor]: Taking taylor expansion of x in x 1.095 * [taylor]: Taking taylor expansion of 2.0 in x 1.098 * [approximate]: Taking taylor expansion of (- (exp (/ 1 x)) 2.0) in (x) around 0 1.098 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 2.0) in x 1.098 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.098 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.098 * [taylor]: Taking taylor expansion of x in x 1.099 * [taylor]: Taking taylor expansion of 2.0 in x 1.099 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 2.0) in x 1.099 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.099 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.099 * [taylor]: Taking taylor expansion of x in x 1.099 * [taylor]: Taking taylor expansion of 2.0 in x 1.102 * * * [progress]: simplifying candidates 1.103 * [simplify]: Simplifying using # : (expm1 (+ (exp x) (- (exp (* -1 x)) 2.0))) (log1p (+ (exp x) (- (exp (* -1 x)) 2.0))) (* (exp (exp x)) (/ (exp (exp (* -1 x))) (exp 2.0))) (* (exp (exp x)) (exp (- (exp (* -1 x)) 2.0))) (log (+ (exp x) (- (exp (* -1 x)) 2.0))) (exp (+ (exp x) (- (exp (* -1 x)) 2.0))) (* (cbrt (+ (exp x) (- (exp (* -1 x)) 2.0))) (cbrt (+ (exp x) (- (exp (* -1 x)) 2.0)))) (cbrt (+ (exp x) (- (exp (* -1 x)) 2.0))) (* (* (+ (exp x) (- (exp (* -1 x)) 2.0)) (+ (exp x) (- (exp (* -1 x)) 2.0))) (+ (exp x) (- (exp (* -1 x)) 2.0))) (sqrt (+ (exp x) (- (exp (* -1 x)) 2.0))) (sqrt (+ (exp x) (- (exp (* -1 x)) 2.0))) (+ (pow (exp x) 3) (pow (- (exp (* -1 x)) 2.0) 3)) (+ (* (exp x) (exp x)) (- (* (- (exp (* -1 x)) 2.0) (- (exp (* -1 x)) 2.0)) (* (exp x) (- (exp (* -1 x)) 2.0)))) (- (* (exp x) (exp x)) (* (- (exp (* -1 x)) 2.0) (- (exp (* -1 x)) 2.0))) (- (exp x) (- (exp (* -1 x)) 2.0)) (+ (exp x) (- (exp (* -1 x)) 2.0)) (+ (exp x) (- (exp (* -1 x)) 2.0)) (+ (exp x) (fma (* (cbrt (exp (* -1 x))) (cbrt (exp (* -1 x)))) (cbrt (exp (* -1 x))) (- (* (cbrt 2.0) (* (cbrt 2.0) (cbrt 2.0)))))) (+ (exp x) (fma (* (cbrt (exp (* -1 x))) (cbrt (exp (* -1 x)))) (cbrt (exp (* -1 x))) (- (* (sqrt 2.0) (sqrt 2.0))))) (+ (exp x) (fma (* (cbrt (exp (* -1 x))) (cbrt (exp (* -1 x)))) (cbrt (exp (* -1 x))) (- (* 2.0 1)))) (+ (exp x) (fma (sqrt (exp (* -1 x))) (sqrt (exp (* -1 x))) (- (* (cbrt 2.0) (* (cbrt 2.0) (cbrt 2.0)))))) (+ (exp x) (fma (sqrt (exp (* -1 x))) (sqrt (exp (* -1 x))) (- (* (sqrt 2.0) (sqrt 2.0))))) (+ (exp x) (fma (sqrt (exp (* -1 x))) (sqrt (exp (* -1 x))) (- (* 2.0 1)))) (+ (exp x) (fma 1 (exp (* -1 x)) (- (* (cbrt 2.0) (* (cbrt 2.0) (cbrt 2.0)))))) (+ (exp x) (fma 1 (exp (* -1 x)) (- (* (sqrt 2.0) (sqrt 2.0))))) (+ (exp x) (fma 1 (exp (* -1 x)) (- (* 2.0 1)))) (+ (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))) (fma (* (cbrt (exp (* -1 x))) (cbrt (exp (* -1 x)))) (cbrt (exp (* -1 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 (* -1 x))) (cbrt (exp (* -1 x)))) (cbrt (exp (* -1 x))) (- (* (sqrt 2.0) (sqrt 2.0)))) (fma (- (sqrt 2.0)) (sqrt 2.0) (* (sqrt 2.0) (sqrt 2.0))) (fma (* (cbrt (exp (* -1 x))) (cbrt (exp (* -1 x)))) (cbrt (exp (* -1 x))) (- (* 2.0 1))) (fma (- 2.0) 1 (* 2.0 1)) (fma (sqrt (exp (* -1 x))) (sqrt (exp (* -1 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 (* -1 x))) (sqrt (exp (* -1 x))) (- (* (sqrt 2.0) (sqrt 2.0)))) (fma (- (sqrt 2.0)) (sqrt 2.0) (* (sqrt 2.0) (sqrt 2.0))) (fma (sqrt (exp (* -1 x))) (sqrt (exp (* -1 x))) (- (* 2.0 1))) (fma (- 2.0) 1 (* 2.0 1)) (fma 1 (exp (* -1 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 (* -1 x)) (- (* (sqrt 2.0) (sqrt 2.0)))) (fma (- (sqrt 2.0)) (sqrt 2.0) (* (sqrt 2.0) (sqrt 2.0))) (fma 1 (exp (* -1 x)) (- (* 2.0 1))) (fma (- 2.0) 1 (* 2.0 1)) (expm1 (- (exp (* -1 x)) 2.0)) (log1p (- (exp (* -1 x)) 2.0)) (- 2.0) (- 2.0) (- 2.0) (/ (exp (exp (* -1 x))) (exp 2.0)) (log (- (exp (* -1 x)) 2.0)) (exp (- (exp (* -1 x)) 2.0)) (* (cbrt (- (exp (* -1 x)) 2.0)) (cbrt (- (exp (* -1 x)) 2.0))) (cbrt (- (exp (* -1 x)) 2.0)) (* (* (- (exp (* -1 x)) 2.0) (- (exp (* -1 x)) 2.0)) (- (exp (* -1 x)) 2.0)) (sqrt (- (exp (* -1 x)) 2.0)) (sqrt (- (exp (* -1 x)) 2.0)) (- (pow (exp (* -1 x)) 3) (pow 2.0 3)) (+ (* (exp (* -1 x)) (exp (* -1 x))) (+ (* 2.0 2.0) (* (exp (* -1 x)) 2.0))) (- 2.0) (- (* (exp (* -1 x)) (exp (* -1 x))) (* 2.0 2.0)) (+ (exp (* -1 x)) 2.0) (+ (sqrt (exp (* -1 x))) (sqrt 2.0)) (- (sqrt (exp (* -1 x))) (sqrt 2.0)) (- (exp (* -1 x)) 2.0) (- 2.0) (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (- (+ (exp (* -1 x)) (exp x)) 2.0) (- (+ (exp (* -1 x)) (exp x)) 2.0) (- (* 1/2 (pow x 2)) (+ x 1.0)) (- (exp (* -1 x)) 2.0) (- (exp (* -1 x)) 2.0) 1.103 * [simplify]: Sending expressions to egg_math: (expm1 (+ (exp h0) (- (exp (* -1 h0)) h1))) (log1p (+ (exp h0) (- (exp (* -1 h0)) h1))) (* (exp (exp h0)) (/ (exp (exp (* -1 h0))) (exp h1))) (* (exp (exp h0)) (exp (- (exp (* -1 h0)) h1))) (log (+ (exp h0) (- (exp (* -1 h0)) h1))) (exp (+ (exp h0) (- (exp (* -1 h0)) h1))) (* (cbrt (+ (exp h0) (- (exp (* -1 h0)) h1))) (cbrt (+ (exp h0) (- (exp (* -1 h0)) h1)))) (cbrt (+ (exp h0) (- (exp (* -1 h0)) h1))) (* (* (+ (exp h0) (- (exp (* -1 h0)) h1)) (+ (exp h0) (- (exp (* -1 h0)) h1))) (+ (exp h0) (- (exp (* -1 h0)) h1))) (sqrt (+ (exp h0) (- (exp (* -1 h0)) h1))) (sqrt (+ (exp h0) (- (exp (* -1 h0)) h1))) (+ (pow (exp h0) 3) (pow (- (exp (* -1 h0)) h1) 3)) (+ (* (exp h0) (exp h0)) (- (* (- (exp (* -1 h0)) h1) (- (exp (* -1 h0)) h1)) (* (exp h0) (- (exp (* -1 h0)) h1)))) (- (* (exp h0) (exp h0)) (* (- (exp (* -1 h0)) h1) (- (exp (* -1 h0)) h1))) (- (exp h0) (- (exp (* -1 h0)) h1)) (+ (exp h0) (- (exp (* -1 h0)) h1)) (+ (exp h0) (- (exp (* -1 h0)) h1)) (+ (exp h0) (fma (* (cbrt (exp (* -1 h0))) (cbrt (exp (* -1 h0)))) (cbrt (exp (* -1 h0))) (- (* (cbrt h1) (* (cbrt h1) (cbrt h1)))))) (+ (exp h0) (fma (* (cbrt (exp (* -1 h0))) (cbrt (exp (* -1 h0)))) (cbrt (exp (* -1 h0))) (- (* (sqrt h1) (sqrt h1))))) (+ (exp h0) (fma (* (cbrt (exp (* -1 h0))) (cbrt (exp (* -1 h0)))) (cbrt (exp (* -1 h0))) (- (* h1 1)))) (+ (exp h0) (fma (sqrt (exp (* -1 h0))) (sqrt (exp (* -1 h0))) (- (* (cbrt h1) (* (cbrt h1) (cbrt h1)))))) (+ (exp h0) (fma (sqrt (exp (* -1 h0))) (sqrt (exp (* -1 h0))) (- (* (sqrt h1) (sqrt h1))))) (+ (exp h0) (fma (sqrt (exp (* -1 h0))) (sqrt (exp (* -1 h0))) (- (* h1 1)))) (+ (exp h0) (fma 1 (exp (* -1 h0)) (- (* (cbrt h1) (* (cbrt h1) (cbrt h1)))))) (+ (exp h0) (fma 1 (exp (* -1 h0)) (- (* (sqrt h1) (sqrt h1))))) (+ (exp h0) (fma 1 (exp (* -1 h0)) (- (* h1 1)))) (+ (exp h0) (exp (* -1 h0))) (+ (exp h0) (exp (* -1 h0))) (+ (exp h0) (exp (* -1 h0))) (fma (* (cbrt (exp (* -1 h0))) (cbrt (exp (* -1 h0)))) (cbrt (exp (* -1 h0))) (- (* (cbrt h1) (* (cbrt h1) (cbrt h1))))) (fma (- (cbrt h1)) (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (* (cbrt h1) (cbrt h1)))) (fma (* (cbrt (exp (* -1 h0))) (cbrt (exp (* -1 h0)))) (cbrt (exp (* -1 h0))) (- (* (sqrt h1) (sqrt h1)))) (fma (- (sqrt h1)) (sqrt h1) (* (sqrt h1) (sqrt h1))) (fma (* (cbrt (exp (* -1 h0))) (cbrt (exp (* -1 h0)))) (cbrt (exp (* -1 h0))) (- (* h1 1))) (fma (- h1) 1 (* h1 1)) (fma (sqrt (exp (* -1 h0))) (sqrt (exp (* -1 h0))) (- (* (cbrt h1) (* (cbrt h1) (cbrt h1))))) (fma (- (cbrt h1)) (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (* (cbrt h1) (cbrt h1)))) (fma (sqrt (exp (* -1 h0))) (sqrt (exp (* -1 h0))) (- (* (sqrt h1) (sqrt h1)))) (fma (- (sqrt h1)) (sqrt h1) (* (sqrt h1) (sqrt h1))) (fma (sqrt (exp (* -1 h0))) (sqrt (exp (* -1 h0))) (- (* h1 1))) (fma (- h1) 1 (* h1 1)) (fma 1 (exp (* -1 h0)) (- (* (cbrt h1) (* (cbrt h1) (cbrt h1))))) (fma (- (cbrt h1)) (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (* (cbrt h1) (cbrt h1)))) (fma 1 (exp (* -1 h0)) (- (* (sqrt h1) (sqrt h1)))) (fma (- (sqrt h1)) (sqrt h1) (* (sqrt h1) (sqrt h1))) (fma 1 (exp (* -1 h0)) (- (* h1 1))) (fma (- h1) 1 (* h1 1)) (expm1 (- (exp (* -1 h0)) h1)) (log1p (- (exp (* -1 h0)) h1)) (- h1) (- h1) (- h1) (/ (exp (exp (* -1 h0))) (exp h1)) (log (- (exp (* -1 h0)) h1)) (exp (- (exp (* -1 h0)) h1)) (* (cbrt (- (exp (* -1 h0)) h1)) (cbrt (- (exp (* -1 h0)) h1))) (cbrt (- (exp (* -1 h0)) h1)) (* (* (- (exp (* -1 h0)) h1) (- (exp (* -1 h0)) h1)) (- (exp (* -1 h0)) h1)) (sqrt (- (exp (* -1 h0)) h1)) (sqrt (- (exp (* -1 h0)) h1)) (- (pow (exp (* -1 h0)) 3) (pow h1 3)) (+ (* (exp (* -1 h0)) (exp (* -1 h0))) (+ (* h1 h1) (* (exp (* -1 h0)) h1))) (- h1) (- (* (exp (* -1 h0)) (exp (* -1 h0))) (* h1 h1)) (+ (exp (* -1 h0)) h1) (+ (sqrt (exp (* -1 h0))) (sqrt h1)) (- (sqrt (exp (* -1 h0))) (sqrt h1)) (- (exp (* -1 h0)) h1) (- h1) (+ (pow h0 2) (+ (* 1/360 (pow h0 6)) (* 1/12 (pow h0 4)))) (- (+ (exp (* -1 h0)) (exp h0)) h1) (- (+ (exp (* -1 h0)) (exp h0)) h1) (- (* 1/2 (pow h0 2)) (+ h0 h2)) (- (exp (* -1 h0)) h1) (- (exp (* -1 h0)) h1) 1.107 * * [simplify]: iteration 0 : 255 enodes (cost 509 ) 1.112 * * [simplify]: iteration 1 : 795 enodes (cost 386 ) 1.129 * * [simplify]: iteration 2 : 4317 enodes (cost 350 ) 1.242 * * [simplify]: iteration 3 : 5001 enodes (cost 335 ) 1.244 * [simplify]: Simplified to: (expm1 (+ (exp x) (- (exp (* -1 x)) 2.0))) (log1p (+ (exp x) (- (exp (* -1 x)) 2.0))) (exp (+ (exp x) (- (exp (* -1 x)) 2.0))) (exp (+ (exp x) (- (exp (* -1 x)) 2.0))) (log (+ (exp x) (- (exp (* -1 x)) 2.0))) (exp (+ (exp x) (- (exp (* -1 x)) 2.0))) (* (cbrt (+ (exp x) (- (exp (* -1 x)) 2.0))) (cbrt (+ (exp x) (- (exp (* -1 x)) 2.0)))) (cbrt (+ (exp x) (- (exp (* -1 x)) 2.0))) (pow (- (+ (exp (* -1 x)) (exp x)) 2.0) 3) (sqrt (+ (exp x) (- (exp (* -1 x)) 2.0))) (sqrt (+ (exp x) (- (exp (* -1 x)) 2.0))) (+ (pow (exp x) 3) (pow (- (exp (* -1 x)) 2.0) 3)) (fma (- (exp (* -1 x)) 2.0) (- (- (exp (* -1 x)) 2.0) (exp x)) (exp (+ x x))) (fma (- (- (exp (* -1 x)) 2.0)) (- (exp (* -1 x)) 2.0) (exp (+ x x))) (- (exp x) (- (exp (* -1 x)) 2.0)) (- (+ (exp (* -1 x)) (exp x)) 2.0) (- (+ (exp (* -1 x)) (exp x)) 2.0) (+ (- (exp x) 2.0) (pow (cbrt (exp (* -1 x))) 3)) (+ (- (exp x) 2.0) (pow (cbrt (exp (* -1 x))) 3)) (+ (- (exp x) 2.0) (pow (cbrt (exp (* -1 x))) 3)) (- (+ (exp (* -1 x)) (exp x)) 2.0) (- (+ (exp (* -1 x)) (exp x)) 2.0) (- (+ (exp (* -1 x)) (exp x)) 2.0) (- (+ (exp (* -1 x)) (exp x)) 2.0) (- (+ (exp (* -1 x)) (exp x)) 2.0) (- (+ (exp (* -1 x)) (exp x)) 2.0) (+ (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))) (fma (/ (- 2.0) 2) 2 (pow (cbrt (exp (* -1 x))) 3)) (- 2.0 2.0) (fma (/ (- 2.0) 2) 2 (pow (cbrt (exp (* -1 x))) 3)) (- 2.0 2.0) (fma (/ (- 2.0) 2) 2 (pow (cbrt (exp (* -1 x))) 3)) (- 2.0 2.0) (- (exp (* -1 x)) 2.0) (- 2.0 2.0) (- (exp (* -1 x)) 2.0) (- 2.0 2.0) (- (exp (* -1 x)) 2.0) (- 2.0 2.0) (- (exp (* -1 x)) 2.0) (- 2.0 2.0) (- (exp (* -1 x)) 2.0) (- 2.0 2.0) (- (exp (* -1 x)) 2.0) (- 2.0 2.0) (expm1 (- (exp (* -1 x)) 2.0)) (log1p (- (exp (* -1 x)) 2.0)) (- 2.0) (- 2.0) (- 2.0) (exp (- (exp (* -1 x)) 2.0)) (log (- (exp (* -1 x)) 2.0)) (exp (- (exp (* -1 x)) 2.0)) (* (cbrt (- (exp (* -1 x)) 2.0)) (cbrt (- (exp (* -1 x)) 2.0))) (cbrt (- (exp (* -1 x)) 2.0)) (pow (- (exp (* -1 x)) 2.0) 3) (sqrt (- (exp (* -1 x)) 2.0)) (sqrt (- (exp (* -1 x)) 2.0)) (- (pow (exp (* -1 x)) 3) (pow 2.0 3)) (fma 2.0 (+ (exp (* -1 x)) 2.0) (pow (exp -1) (* 2 x))) (- 2.0) (fma (- 2.0) 2.0 (pow (exp -1) (* 2 x))) (+ (exp (* -1 x)) 2.0) (+ (sqrt (exp (* -1 x))) (sqrt 2.0)) (- (sqrt (exp (* -1 x))) (sqrt 2.0)) (- (exp (* -1 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) (- (* 1/2 (pow x 2)) (+ x 1.0)) (- (exp (* -1 x)) 2.0) (- (exp (* -1 x)) 2.0) 1.244 * * * [progress]: adding candidates to table 1.363 * * [progress]: iteration 4 / 4 1.363 * * * [progress]: picking best candidate 1.366 * * * * [pick]: Picked # 1.366 * * * [progress]: localizing error 1.381 * * * [progress]: generating rewritten candidates 1.381 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 1.381 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.464 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 3) 1.480 * * * [progress]: generating series expansions 1.480 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 1.480 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.480 * [approximate]: Taking taylor expansion of (- (+ (exp (* -1 x)) (exp x)) 2.0) in (x) around 0 1.480 * [taylor]: Taking taylor expansion of (- (+ (exp (* -1 x)) (exp x)) 2.0) in x 1.480 * [taylor]: Taking taylor expansion of (+ (exp (* -1 x)) (exp x)) in x 1.480 * [taylor]: Taking taylor expansion of (exp (* -1 x)) in x 1.480 * [taylor]: Taking taylor expansion of (* -1 x) in x 1.480 * [taylor]: Taking taylor expansion of -1 in x 1.480 * [taylor]: Taking taylor expansion of x in x 1.481 * [taylor]: Taking taylor expansion of (exp x) in x 1.481 * [taylor]: Taking taylor expansion of x in x 1.481 * [taylor]: Taking taylor expansion of 2.0 in x 1.481 * [taylor]: Taking taylor expansion of (- (+ (exp (* -1 x)) (exp x)) 2.0) in x 1.481 * [taylor]: Taking taylor expansion of (+ (exp (* -1 x)) (exp x)) in x 1.481 * [taylor]: Taking taylor expansion of (exp (* -1 x)) in x 1.481 * [taylor]: Taking taylor expansion of (* -1 x) in x 1.481 * [taylor]: Taking taylor expansion of -1 in x 1.481 * [taylor]: Taking taylor expansion of x in x 1.482 * [taylor]: Taking taylor expansion of (exp x) in x 1.482 * [taylor]: Taking taylor expansion of x in x 1.482 * [taylor]: Taking taylor expansion of 2.0 in x 1.517 * [approximate]: Taking taylor expansion of (- (+ (exp (/ 1 x)) (exp (/ -1 x))) 2.0) in (x) around 0 1.517 * [taylor]: Taking taylor expansion of (- (+ (exp (/ 1 x)) (exp (/ -1 x))) 2.0) in x 1.517 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.518 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.518 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.518 * [taylor]: Taking taylor expansion of x in x 1.518 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.518 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.518 * [taylor]: Taking taylor expansion of -1 in x 1.518 * [taylor]: Taking taylor expansion of x in x 1.518 * [taylor]: Taking taylor expansion of 2.0 in x 1.518 * [taylor]: Taking taylor expansion of (- (+ (exp (/ 1 x)) (exp (/ -1 x))) 2.0) in x 1.518 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.518 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.518 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.518 * [taylor]: Taking taylor expansion of x in x 1.518 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.519 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.519 * [taylor]: Taking taylor expansion of -1 in x 1.519 * [taylor]: Taking taylor expansion of x in x 1.519 * [taylor]: Taking taylor expansion of 2.0 in x 1.523 * [approximate]: Taking taylor expansion of (- (+ (exp (/ 1 x)) (exp (/ -1 x))) 2.0) in (x) around 0 1.523 * [taylor]: Taking taylor expansion of (- (+ (exp (/ 1 x)) (exp (/ -1 x))) 2.0) in x 1.523 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.523 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.523 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.523 * [taylor]: Taking taylor expansion of x in x 1.524 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.524 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.524 * [taylor]: Taking taylor expansion of -1 in x 1.524 * [taylor]: Taking taylor expansion of x in x 1.524 * [taylor]: Taking taylor expansion of 2.0 in x 1.524 * [taylor]: Taking taylor expansion of (- (+ (exp (/ 1 x)) (exp (/ -1 x))) 2.0) in x 1.524 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.524 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.524 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.524 * [taylor]: Taking taylor expansion of x in x 1.525 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.525 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.525 * [taylor]: Taking taylor expansion of -1 in x 1.525 * [taylor]: Taking taylor expansion of x in x 1.525 * [taylor]: Taking taylor expansion of 2.0 in x 1.529 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 3) 1.529 * * * [progress]: simplifying candidates 1.531 * [simplify]: Simplifying using # : (expm1 (fma (- (sqrt 2.0)) (sqrt 2.0) (* (sqrt 2.0) (sqrt 2.0)))) (log1p (fma (- (sqrt 2.0)) (sqrt 2.0) (* (sqrt 2.0) (sqrt 2.0)))) (* (- (sqrt 2.0)) (sqrt 2.0)) (log (fma (- (sqrt 2.0)) (sqrt 2.0) (* (sqrt 2.0) (sqrt 2.0)))) (exp (fma (- (sqrt 2.0)) (sqrt 2.0) (* (sqrt 2.0) (sqrt 2.0)))) (* (cbrt (fma (- (sqrt 2.0)) (sqrt 2.0) (* (sqrt 2.0) (sqrt 2.0)))) (cbrt (fma (- (sqrt 2.0)) (sqrt 2.0) (* (sqrt 2.0) (sqrt 2.0))))) (cbrt (fma (- (sqrt 2.0)) (sqrt 2.0) (* (sqrt 2.0) (sqrt 2.0)))) (* (* (fma (- (sqrt 2.0)) (sqrt 2.0) (* (sqrt 2.0) (sqrt 2.0))) (fma (- (sqrt 2.0)) (sqrt 2.0) (* (sqrt 2.0) (sqrt 2.0)))) (fma (- (sqrt 2.0)) (sqrt 2.0) (* (sqrt 2.0) (sqrt 2.0)))) (sqrt (fma (- (sqrt 2.0)) (sqrt 2.0) (* (sqrt 2.0) (sqrt 2.0)))) (sqrt (fma (- (sqrt 2.0)) (sqrt 2.0) (* (sqrt 2.0) (sqrt 2.0)))) (fma (* (cbrt (+ (exp (* -1 x)) (exp x))) (cbrt (+ (exp (* -1 x)) (exp x)))) (cbrt (+ (exp (* -1 x)) (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 (* -1 x)) (exp x))) (cbrt (+ (exp (* -1 x)) (exp x)))) (cbrt (+ (exp (* -1 x)) (exp x))) (- (* (sqrt 2.0) (sqrt 2.0)))) (fma (- (sqrt 2.0)) (sqrt 2.0) (* (sqrt 2.0) (sqrt 2.0))) (fma (* (cbrt (+ (exp (* -1 x)) (exp x))) (cbrt (+ (exp (* -1 x)) (exp x)))) (cbrt (+ (exp (* -1 x)) (exp x))) (- (* 2.0 1))) (fma (- 2.0) 1 (* 2.0 1)) (fma (sqrt (+ (exp (* -1 x)) (exp x))) (sqrt (+ (exp (* -1 x)) (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 (* -1 x)) (exp x))) (sqrt (+ (exp (* -1 x)) (exp x))) (- (* (sqrt 2.0) (sqrt 2.0)))) (fma (- (sqrt 2.0)) (sqrt 2.0) (* (sqrt 2.0) (sqrt 2.0))) (fma (sqrt (+ (exp (* -1 x)) (exp x))) (sqrt (+ (exp (* -1 x)) (exp x))) (- (* 2.0 1))) (fma (- 2.0) 1 (* 2.0 1)) (fma 1 (+ (exp (* -1 x)) (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 (* -1 x)) (exp x)) (- (* (sqrt 2.0) (sqrt 2.0)))) (fma (- (sqrt 2.0)) (sqrt 2.0) (* (sqrt 2.0) (sqrt 2.0))) (fma 1 (+ (exp (* -1 x)) (exp x)) (- (* 2.0 1))) (fma (- 2.0) 1 (* 2.0 1)) (fma 1 (+ (exp (* -1 x)) (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 (* -1 x)) (exp x)) (- (* (sqrt 2.0) (sqrt 2.0)))) (fma (- (sqrt 2.0)) (sqrt 2.0) (* (sqrt 2.0) (sqrt 2.0))) (fma 1 (+ (exp (* -1 x)) (exp x)) (- (* 2.0 1))) (fma (- 2.0) 1 (* 2.0 1)) (expm1 (- (+ (exp (* -1 x)) (exp x)) 2.0)) (log1p (- (+ (exp (* -1 x)) (exp x)) 2.0)) (- 2.0) (- 2.0) (- 2.0) (- 2.0) (/ (* (exp (exp (* -1 x))) (exp (exp x))) (exp 2.0)) (/ (exp (+ (exp (* -1 x)) (exp x))) (exp 2.0)) (log (- (+ (exp (* -1 x)) (exp x)) 2.0)) (exp (- (+ (exp (* -1 x)) (exp x)) 2.0)) (* (cbrt (- (+ (exp (* -1 x)) (exp x)) 2.0)) (cbrt (- (+ (exp (* -1 x)) (exp x)) 2.0))) (cbrt (- (+ (exp (* -1 x)) (exp x)) 2.0)) (* (* (- (+ (exp (* -1 x)) (exp x)) 2.0) (- (+ (exp (* -1 x)) (exp x)) 2.0)) (- (+ (exp (* -1 x)) (exp x)) 2.0)) (sqrt (- (+ (exp (* -1 x)) (exp x)) 2.0)) (sqrt (- (+ (exp (* -1 x)) (exp x)) 2.0)) (- (pow (+ (exp (* -1 x)) (exp x)) 3) (pow 2.0 3)) (+ (* (+ (exp (* -1 x)) (exp x)) (+ (exp (* -1 x)) (exp x))) (+ (* 2.0 2.0) (* (+ (exp (* -1 x)) (exp x)) 2.0))) (- 2.0) (- (* (+ (exp (* -1 x)) (exp x)) (+ (exp (* -1 x)) (exp x))) (* 2.0 2.0)) (+ (+ (exp (* -1 x)) (exp x)) 2.0) (+ (sqrt (+ (exp (* -1 x)) (exp x))) (sqrt 2.0)) (- (sqrt (+ (exp (* -1 x)) (exp x))) (sqrt 2.0)) (- (+ (exp (* -1 x)) (exp x)) 2.0) (- (+ (exp (* -1 x)) (exp x)) 2.0) (- (exp x) 2.0) (- 2.0) (expm1 (* (sqrt 2.0) (sqrt 2.0))) (log1p (* (sqrt 2.0) (sqrt 2.0))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* 2.0 2.0) (* (sqrt 2.0) (sqrt 2.0)) (* 2.0 2.0) (+ 1 1) (+ (log (sqrt 2.0)) (log (sqrt 2.0))) (log (* (sqrt 2.0) (sqrt 2.0))) (exp (* (sqrt 2.0) (sqrt 2.0))) (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (cbrt (* (sqrt 2.0) (sqrt 2.0))) (cbrt (* (sqrt 2.0) (sqrt 2.0)))) (cbrt (* (sqrt 2.0) (sqrt 2.0))) (* (* (* (sqrt 2.0) (sqrt 2.0)) (* (sqrt 2.0) (sqrt 2.0))) (* (sqrt 2.0) (sqrt 2.0))) (* 2.0 2.0) (sqrt (* (sqrt 2.0) (sqrt 2.0))) (sqrt (* (sqrt 2.0) (sqrt 2.0))) (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (* (sqrt (cbrt 2.0)) (sqrt (cbrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (* (sqrt 1) (sqrt 1)) (* (sqrt 2.0) (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (* 1 1) (* (sqrt 2.0) (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt 2.0) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (sqrt 2.0) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (* (sqrt 2.0) (sqrt (sqrt 2.0))) (* (sqrt 2.0) (sqrt 1)) (* (sqrt 2.0) (sqrt (sqrt 2.0))) (* (sqrt 2.0) 1) (* (cbrt (sqrt 2.0)) (sqrt 2.0)) (* (sqrt (cbrt 2.0)) (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt 2.0)) (* (sqrt 2.0) (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt 2.0)) (* (sqrt 2.0) (sqrt 2.0)) (+ (- (+ (exp (* -1 x)) (exp x)) 2.0) (fma (- (sqrt 2.0)) (sqrt 2.0) (* (sqrt 2.0) (sqrt 2.0)))) (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (- (+ (exp (* -1 x)) (exp x)) 2.0) (- (+ (exp (* -1 x)) (exp x)) 2.0) (+ (- (+ (exp (* -1 x)) (exp x)) 2.0) (fma (- (sqrt 2.0)) (sqrt 2.0) (* (sqrt 2.0) (sqrt 2.0)))) 1.532 * [simplify]: Sending expressions to egg_math: (expm1 (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0)))) (log1p (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0)))) (* (- (sqrt h0)) (sqrt h0)) (log (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0)))) (exp (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0)))) (* (cbrt (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0)))) (cbrt (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0))))) (cbrt (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0)))) (* (* (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0))) (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0)))) (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0)))) (sqrt (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0)))) (sqrt (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0)))) (fma (* (cbrt (+ (exp (* -1 h1)) (exp h1))) (cbrt (+ (exp (* -1 h1)) (exp h1)))) (cbrt (+ (exp (* -1 h1)) (exp h1))) (- (* (cbrt h0) (* (cbrt h0) (cbrt h0))))) (fma (- (cbrt h0)) (* (cbrt h0) (cbrt h0)) (* (cbrt h0) (* (cbrt h0) (cbrt h0)))) (fma (* (cbrt (+ (exp (* -1 h1)) (exp h1))) (cbrt (+ (exp (* -1 h1)) (exp h1)))) (cbrt (+ (exp (* -1 h1)) (exp h1))) (- (* (sqrt h0) (sqrt h0)))) (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0))) (fma (* (cbrt (+ (exp (* -1 h1)) (exp h1))) (cbrt (+ (exp (* -1 h1)) (exp h1)))) (cbrt (+ (exp (* -1 h1)) (exp h1))) (- (* h0 1))) (fma (- h0) 1 (* h0 1)) (fma (sqrt (+ (exp (* -1 h1)) (exp h1))) (sqrt (+ (exp (* -1 h1)) (exp h1))) (- (* (cbrt h0) (* (cbrt h0) (cbrt h0))))) (fma (- (cbrt h0)) (* (cbrt h0) (cbrt h0)) (* (cbrt h0) (* (cbrt h0) (cbrt h0)))) (fma (sqrt (+ (exp (* -1 h1)) (exp h1))) (sqrt (+ (exp (* -1 h1)) (exp h1))) (- (* (sqrt h0) (sqrt h0)))) (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0))) (fma (sqrt (+ (exp (* -1 h1)) (exp h1))) (sqrt (+ (exp (* -1 h1)) (exp h1))) (- (* h0 1))) (fma (- h0) 1 (* h0 1)) (fma 1 (+ (exp (* -1 h1)) (exp h1)) (- (* (cbrt h0) (* (cbrt h0) (cbrt h0))))) (fma (- (cbrt h0)) (* (cbrt h0) (cbrt h0)) (* (cbrt h0) (* (cbrt h0) (cbrt h0)))) (fma 1 (+ (exp (* -1 h1)) (exp h1)) (- (* (sqrt h0) (sqrt h0)))) (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0))) (fma 1 (+ (exp (* -1 h1)) (exp h1)) (- (* h0 1))) (fma (- h0) 1 (* h0 1)) (fma 1 (+ (exp (* -1 h1)) (exp h1)) (- (* (cbrt h0) (* (cbrt h0) (cbrt h0))))) (fma (- (cbrt h0)) (* (cbrt h0) (cbrt h0)) (* (cbrt h0) (* (cbrt h0) (cbrt h0)))) (fma 1 (+ (exp (* -1 h1)) (exp h1)) (- (* (sqrt h0) (sqrt h0)))) (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0))) (fma 1 (+ (exp (* -1 h1)) (exp h1)) (- (* h0 1))) (fma (- h0) 1 (* h0 1)) (expm1 (- (+ (exp (* -1 h1)) (exp h1)) h0)) (log1p (- (+ (exp (* -1 h1)) (exp h1)) h0)) (- h0) (- h0) (- h0) (- h0) (/ (* (exp (exp (* -1 h1))) (exp (exp h1))) (exp h0)) (/ (exp (+ (exp (* -1 h1)) (exp h1))) (exp h0)) (log (- (+ (exp (* -1 h1)) (exp h1)) h0)) (exp (- (+ (exp (* -1 h1)) (exp h1)) h0)) (* (cbrt (- (+ (exp (* -1 h1)) (exp h1)) h0)) (cbrt (- (+ (exp (* -1 h1)) (exp h1)) h0))) (cbrt (- (+ (exp (* -1 h1)) (exp h1)) h0)) (* (* (- (+ (exp (* -1 h1)) (exp h1)) h0) (- (+ (exp (* -1 h1)) (exp h1)) h0)) (- (+ (exp (* -1 h1)) (exp h1)) h0)) (sqrt (- (+ (exp (* -1 h1)) (exp h1)) h0)) (sqrt (- (+ (exp (* -1 h1)) (exp h1)) h0)) (- (pow (+ (exp (* -1 h1)) (exp h1)) 3) (pow h0 3)) (+ (* (+ (exp (* -1 h1)) (exp h1)) (+ (exp (* -1 h1)) (exp h1))) (+ (* h0 h0) (* (+ (exp (* -1 h1)) (exp h1)) h0))) (- h0) (- (* (+ (exp (* -1 h1)) (exp h1)) (+ (exp (* -1 h1)) (exp h1))) (* h0 h0)) (+ (+ (exp (* -1 h1)) (exp h1)) h0) (+ (sqrt (+ (exp (* -1 h1)) (exp h1))) (sqrt h0)) (- (sqrt (+ (exp (* -1 h1)) (exp h1))) (sqrt h0)) (- (+ (exp (* -1 h1)) (exp h1)) h0) (- (+ (exp (* -1 h1)) (exp h1)) h0) (- (exp h1) h0) (- h0) (expm1 (* (sqrt h0) (sqrt h0))) (log1p (* (sqrt h0) (sqrt h0))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* h0 h0) (* (sqrt h0) (sqrt h0)) (* h0 h0) (+ 1 1) (+ (log (sqrt h0)) (log (sqrt h0))) (log (* (sqrt h0) (sqrt h0))) (exp (* (sqrt h0) (sqrt h0))) (* (* (* (sqrt h0) (sqrt h0)) (sqrt h0)) (* (* (sqrt h0) (sqrt h0)) (sqrt h0))) (* (cbrt (* (sqrt h0) (sqrt h0))) (cbrt (* (sqrt h0) (sqrt h0)))) (cbrt (* (sqrt h0) (sqrt h0))) (* (* (* (sqrt h0) (sqrt h0)) (* (sqrt h0) (sqrt h0))) (* (sqrt h0) (sqrt h0))) (* h0 h0) (sqrt (* (sqrt h0) (sqrt h0))) (sqrt (* (sqrt h0) (sqrt h0))) (* (* (cbrt (sqrt h0)) (cbrt (sqrt h0))) (* (cbrt (sqrt h0)) (cbrt (sqrt h0)))) (* (cbrt (sqrt h0)) (cbrt (sqrt h0))) (* (sqrt (* (cbrt h0) (cbrt h0))) (sqrt (* (cbrt h0) (cbrt h0)))) (* (sqrt (cbrt h0)) (sqrt (cbrt h0))) (* (sqrt (sqrt h0)) (sqrt (sqrt h0))) (* (sqrt (sqrt h0)) (sqrt (sqrt h0))) (* (sqrt (sqrt h0)) (sqrt (sqrt h0))) (* (sqrt (sqrt h0)) (sqrt (sqrt h0))) (* (sqrt 1) (sqrt 1)) (* (sqrt h0) (sqrt h0)) (* (sqrt (sqrt h0)) (sqrt (sqrt h0))) (* (sqrt (sqrt h0)) (sqrt (sqrt h0))) (* (sqrt (sqrt h0)) (sqrt (sqrt h0))) (* (sqrt (sqrt h0)) (sqrt (sqrt h0))) (* 1 1) (* (sqrt h0) (sqrt h0)) (* (sqrt (sqrt h0)) (sqrt (sqrt h0))) (* (sqrt (sqrt h0)) (sqrt (sqrt h0))) (* (sqrt (sqrt h0)) (sqrt (sqrt h0))) (* (sqrt (sqrt h0)) (sqrt (sqrt h0))) (* (sqrt (sqrt h0)) (sqrt (sqrt h0))) (* (sqrt (sqrt h0)) (sqrt (sqrt h0))) (* (sqrt (sqrt h0)) (sqrt (sqrt h0))) (* (sqrt (sqrt h0)) (sqrt (sqrt h0))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt h0) (* (cbrt (sqrt h0)) (cbrt (sqrt h0)))) (* (sqrt h0) (sqrt (* (cbrt h0) (cbrt h0)))) (* (sqrt h0) (sqrt (sqrt h0))) (* (sqrt h0) (sqrt 1)) (* (sqrt h0) (sqrt (sqrt h0))) (* (sqrt h0) 1) (* (cbrt (sqrt h0)) (sqrt h0)) (* (sqrt (cbrt h0)) (sqrt h0)) (* (sqrt (sqrt h0)) (sqrt h0)) (* (sqrt h0) (sqrt h0)) (* (sqrt (sqrt h0)) (sqrt h0)) (* (sqrt h0) (sqrt h0)) (+ (- (+ (exp (* -1 h1)) (exp h1)) h0) (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0)))) (+ (pow h1 2) (+ (* 1/360 (pow h1 6)) (* 1/12 (pow h1 4)))) (- (+ (exp (* -1 h1)) (exp h1)) h0) (- (+ (exp (* -1 h1)) (exp h1)) h0) (+ (- (+ (exp (* -1 h1)) (exp h1)) h0) (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0)))) 1.536 * * [simplify]: iteration 0 : 259 enodes (cost 616 ) 1.542 * * [simplify]: iteration 1 : 1105 enodes (cost 460 ) 1.571 * * [simplify]: iteration 2 : 5001 enodes (cost 424 ) 1.574 * [simplify]: Simplified to: (expm1 (fma (- (sqrt 2.0)) (sqrt 2.0) (* (sqrt 2.0) (sqrt 2.0)))) (log1p (fma (- (sqrt 2.0)) (sqrt 2.0) (* (sqrt 2.0) (sqrt 2.0)))) (- 2.0) (log (fma (- 2.0) 1 2.0)) (exp (fma (- 2.0) 1 2.0)) (* (cbrt (fma (- (sqrt 2.0)) (sqrt 2.0) (* (sqrt 2.0) (sqrt 2.0)))) (cbrt (fma (- (sqrt 2.0)) (sqrt 2.0) (* (sqrt 2.0) (sqrt 2.0))))) (cbrt (fma (- (sqrt 2.0)) (sqrt 2.0) (* (sqrt 2.0) (sqrt 2.0)))) (pow (fma (- 2.0) 1 2.0) 3) (sqrt (fma (- (sqrt 2.0)) (sqrt 2.0) (* (sqrt 2.0) (sqrt 2.0)))) (sqrt (fma (- (sqrt 2.0)) (sqrt 2.0) (* (sqrt 2.0) (sqrt 2.0)))) (+ (+ (pow (cbrt (+ (exp (* -1 x)) (exp x))) 3) (* (- 2.0) 1/2)) (* (- 2.0) 1/2)) (fma (- 2.0) 1 2.0) (+ (+ (pow (cbrt (+ (exp (* -1 x)) (exp x))) 3) (* (- 2.0) 1/2)) (* (- 2.0) 1/2)) (fma (- 2.0) 1 2.0) (+ (+ (pow (cbrt (+ (exp (* -1 x)) (exp x))) 3) (* (- 2.0) 1/2)) (* (- 2.0) 1/2)) (fma (- 2.0) 1 2.0) (- (+ (exp (* -1 x)) (exp x)) 2.0) (fma (- 2.0) 1 2.0) (- (+ (exp (* -1 x)) (exp x)) 2.0) (fma (- 2.0) 1 2.0) (- (+ (exp (* -1 x)) (exp x)) 2.0) (fma (- 2.0) 1 2.0) (- (+ (exp (* -1 x)) (exp x)) 2.0) (fma (- 2.0) 1 2.0) (- (+ (exp (* -1 x)) (exp x)) 2.0) (fma (- 2.0) 1 2.0) (- (+ (exp (* -1 x)) (exp x)) 2.0) (fma (- 2.0) 1 2.0) (- (+ (exp (* -1 x)) (exp x)) 2.0) (fma (- 2.0) 1 2.0) (- (+ (exp (* -1 x)) (exp x)) 2.0) (fma (- 2.0) 1 2.0) (- (+ (exp (* -1 x)) (exp x)) 2.0) (fma (- 2.0) 1 2.0) (expm1 (- (+ (exp (* -1 x)) (exp x)) 2.0)) (log1p (- (+ (exp (* -1 x)) (exp x)) 2.0)) (- 2.0) (- 2.0) (- 2.0) (- 2.0) (exp (- (+ (exp (* -1 x)) (exp x)) 2.0)) (exp (- (+ (exp (* -1 x)) (exp x)) 2.0)) (log (- (+ (exp (* -1 x)) (exp x)) 2.0)) (exp (- (+ (exp (* -1 x)) (exp x)) 2.0)) (* (cbrt (- (+ (exp (* -1 x)) (exp x)) 2.0)) (cbrt (- (+ (exp (* -1 x)) (exp x)) 2.0))) (cbrt (- (+ (exp (* -1 x)) (exp x)) 2.0)) (pow (- (+ (exp (* -1 x)) (exp x)) 2.0) 3) (sqrt (- (+ (exp (* -1 x)) (exp x)) 2.0)) (sqrt (- (+ (exp (* -1 x)) (exp x)) 2.0)) (- (pow (+ (exp (* -1 x)) (exp x)) 3) (pow 2.0 3)) (+ (* (+ (exp (* -1 x)) (exp x)) (+ (+ (exp (* -1 x)) (exp x)) 2.0)) (* 2.0 2.0)) (- 2.0) (+ (+ (- (* 2.0 2.0)) (+ 1 (pow (exp x) -2))) (+ (exp (+ x x)) 1)) (+ (+ (exp (* -1 x)) (exp x)) 2.0) (+ (sqrt (+ (exp (* -1 x)) (exp x))) (sqrt 2.0)) (- (sqrt (+ (exp (* -1 x)) (exp x))) (sqrt 2.0)) (- (+ (exp (* -1 x)) (exp x)) 2.0) (- (+ (exp (* -1 x)) (exp x)) 2.0) (- (exp x) 2.0) (- 2.0) (expm1 (* (sqrt 2.0) (sqrt 2.0))) (log1p (* (sqrt 2.0) (sqrt 2.0))) 1 1 2 1 1 (* 2.0 2.0) 2.0 (* 2.0 2.0) 2 (log 2.0) (log 2.0) (exp 2.0) (pow 2.0 3) (* (cbrt 2.0) (cbrt 2.0)) (cbrt 2.0) (pow 2.0 3) (* 2.0 2.0) (sqrt 2.0) (sqrt 2.0) (pow (cbrt (sqrt 2.0)) 4) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt 2.0) (cbrt 2.0)) (cbrt 2.0) (sqrt 2.0) (sqrt 2.0) (sqrt 2.0) (sqrt 2.0) 1 2.0 (sqrt 2.0) (sqrt 2.0) (sqrt 2.0) (sqrt 2.0) 1 2.0 (sqrt 2.0) (sqrt 2.0) (sqrt 2.0) (sqrt 2.0) (sqrt 2.0) (sqrt 2.0) (sqrt 2.0) (sqrt 2.0) 1 2 1 (* (sqrt 2.0) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (fabs (cbrt 2.0)) (sqrt 2.0)) (pow (sqrt (sqrt 2.0)) 3) (sqrt 2.0) (pow (sqrt (sqrt 2.0)) 3) (sqrt 2.0) (pow (cbrt (sqrt 2.0)) 4) (* (sqrt (cbrt 2.0)) (sqrt 2.0)) (pow (sqrt (sqrt 2.0)) 3) 2.0 (pow (sqrt (sqrt 2.0)) 3) 2.0 (+ (+ (- (+ (exp (* -1 x)) (exp x)) 2.0) (- 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) (+ (+ (- (+ (exp (* -1 x)) (exp x)) 2.0) (- 2.0)) 2.0) 1.574 * * * [progress]: adding candidates to table 1.756 * [progress]: [Phase 3 of 3] Extracting. 1.756 * * [regime]: Finding splitpoints for: (# # #) 1.757 * * * [regime-changes]: Trying 1 branch expressions: (x) 1.757 * * * * [regimes]: Trying to branch on x from (# # #) 1.772 * * * [regime]: Found split indices: #