4.442 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.078 * * * [progress]: [2/2] Setting up program. 0.080 * [progress]: [Phase 2 of 3] Improving. 0.081 * [simplify]: Simplifying using # : (+ (- (exp x) 2.0) (exp (- x))) 0.081 * [simplify]: Sending expressions to egg_math: (+ (- (exp h0) h1) (exp (- h0))) 0.083 * * [simplify]: iteration 0 : 14 enodes (cost 5 ) 0.085 * * [simplify]: iteration 1 : 26 enodes (cost 5 ) 0.086 * * [simplify]: iteration 2 : 41 enodes (cost 5 ) 0.088 * * [simplify]: iteration 3 : 55 enodes (cost 5 ) 0.089 * * [simplify]: iteration 4 : 67 enodes (cost 5 ) 0.091 * * [simplify]: iteration 5 : 104 enodes (cost 5 ) 0.093 * * [simplify]: iteration 6 : 161 enodes (cost 5 ) 0.096 * * [simplify]: iteration 7 : 344 enodes (cost 5 ) 0.105 * * [simplify]: iteration 8 : 1454 enodes (cost 5 ) 0.308 * * [simplify]: iteration 9 : 5001 enodes (cost 5 ) 0.309 * [simplify]: Simplified to: (+ (- (exp x) 2.0) (exp (- x))) 0.310 * * [progress]: iteration 1 / 4 0.310 * * * [progress]: picking best candidate 0.312 * * * * [pick]: Picked # 0.312 * * * [progress]: localizing error 0.318 * * * [progress]: generating rewritten candidates 0.318 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.373 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.386 * * * [progress]: generating series expansions 0.386 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.386 * [approximate]: Taking taylor expansion of (- (+ (exp x) (exp (- x))) 2.0) in (x) around 0 0.386 * [taylor]: Taking taylor expansion of (- (+ (exp x) (exp (- x))) 2.0) in x 0.386 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.386 * [taylor]: Taking taylor expansion of (exp x) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.386 * [taylor]: Taking taylor expansion of (- x) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of 2.0 in x 0.387 * [taylor]: Taking taylor expansion of (- (+ (exp x) (exp (- x))) 2.0) in x 0.387 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.387 * [taylor]: Taking taylor expansion of (exp x) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.387 * [taylor]: Taking taylor expansion of (- x) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.388 * [taylor]: Taking taylor expansion of 2.0 in x 0.429 * [approximate]: Taking taylor expansion of (- (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 2.0) in (x) around 0 0.429 * [taylor]: Taking taylor expansion of (- (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 2.0) in x 0.430 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.430 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.430 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.430 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.430 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.430 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.430 * [taylor]: Taking taylor expansion of 2.0 in x 0.430 * [taylor]: Taking taylor expansion of (- (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 2.0) in x 0.430 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 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 0.431 * [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 (/ 1 x) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.431 * [taylor]: Taking taylor expansion of 2.0 in x 0.436 * [approximate]: Taking taylor expansion of (- (+ (exp (/ 1 x)) (exp (/ -1 x))) 2.0) in (x) around 0 0.436 * [taylor]: Taking taylor expansion of (- (+ (exp (/ 1 x)) (exp (/ -1 x))) 2.0) in x 0.436 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.436 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.436 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.436 * [taylor]: Taking taylor expansion of x in x 0.436 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.436 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.436 * [taylor]: Taking taylor expansion of -1 in x 0.436 * [taylor]: Taking taylor expansion of x in x 0.437 * [taylor]: Taking taylor expansion of 2.0 in x 0.437 * [taylor]: Taking taylor expansion of (- (+ (exp (/ 1 x)) (exp (/ -1 x))) 2.0) in x 0.437 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.437 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.437 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.437 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.437 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.437 * [taylor]: Taking taylor expansion of -1 in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.437 * [taylor]: Taking taylor expansion of 2.0 in x 0.442 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.442 * [approximate]: Taking taylor expansion of (- (exp x) 2.0) in (x) around 0 0.442 * [taylor]: Taking taylor expansion of (- (exp x) 2.0) in x 0.442 * [taylor]: Taking taylor expansion of (exp x) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.442 * [taylor]: Taking taylor expansion of 2.0 in x 0.442 * [taylor]: Taking taylor expansion of (- (exp x) 2.0) in x 0.442 * [taylor]: Taking taylor expansion of (exp x) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.442 * [taylor]: Taking taylor expansion of 2.0 in x 0.446 * [approximate]: Taking taylor expansion of (- (exp (/ 1 x)) 2.0) in (x) around 0 0.446 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 2.0) in x 0.446 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.446 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.446 * [taylor]: Taking taylor expansion of 2.0 in x 0.446 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 2.0) in x 0.446 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.446 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.446 * [taylor]: Taking taylor expansion of 2.0 in x 0.449 * [approximate]: Taking taylor expansion of (- (exp (/ -1 x)) 2.0) in (x) around 0 0.449 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 2.0) in x 0.449 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.450 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.450 * [taylor]: Taking taylor expansion of -1 in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of 2.0 in x 0.450 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 2.0) in x 0.450 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.450 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.450 * [taylor]: Taking taylor expansion of -1 in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of 2.0 in x 0.453 * * * [progress]: simplifying candidates 0.454 * [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) 0.455 * [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) 0.459 * * [simplify]: iteration 0 : 282 enodes (cost 506 ) 0.465 * * [simplify]: iteration 1 : 1008 enodes (cost 381 ) 0.486 * * [simplify]: iteration 2 : 5001 enodes (cost 367 ) 0.488 * [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) 0.489 * * * [progress]: adding candidates to table 0.642 * * [progress]: iteration 2 / 4 0.642 * * * [progress]: picking best candidate 0.647 * * * * [pick]: Picked # 0.647 * * * [progress]: localizing error 0.655 * * * [progress]: generating rewritten candidates 0.655 * * * * [progress]: [ 1 / 1 ] rewriting at (2 3 3) 0.668 * * * [progress]: generating series expansions 0.668 * * * * [progress]: [ 1 / 1 ] generating series at (2 3 3) 0.668 * [approximate]: Taking taylor expansion of (* 1/12 (pow x 4)) in (x) around 0 0.668 * [taylor]: Taking taylor expansion of (* 1/12 (pow x 4)) in x 0.668 * [taylor]: Taking taylor expansion of 1/12 in x 0.668 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.668 * [taylor]: Taking taylor expansion of x in x 0.668 * [taylor]: Taking taylor expansion of (* 1/12 (pow x 4)) in x 0.668 * [taylor]: Taking taylor expansion of 1/12 in x 0.668 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.668 * [taylor]: Taking taylor expansion of x in x 0.680 * [approximate]: Taking taylor expansion of (/ 1/12 (pow x 4)) in (x) around 0 0.680 * [taylor]: Taking taylor expansion of (/ 1/12 (pow x 4)) in x 0.680 * [taylor]: Taking taylor expansion of 1/12 in x 0.680 * [taylor]: Taking taylor expansion of (pow x 4) 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 0.695 * [approximate]: Taking taylor expansion of (/ 1/12 (pow x 4)) in (x) around 0 0.695 * [taylor]: Taking taylor expansion of (/ 1/12 (pow x 4)) in x 0.695 * [taylor]: Taking taylor expansion of 1/12 in x 0.695 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.696 * [taylor]: Taking taylor expansion of (/ 1/12 (pow x 4)) in x 0.696 * [taylor]: Taking taylor expansion of 1/12 in x 0.696 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.696 * [taylor]: Taking taylor expansion of x in x 0.707 * * * [progress]: simplifying candidates 0.707 * [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)) (* 1/12 (pow x 4)) (* 1/12 (pow x 4)) (* 1/12 (pow x 4)) 0.707 * [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)) (* 1/12 (pow h0 4)) (* 1/12 (pow h0 4)) (* 1/12 (pow h0 4)) 0.711 * * [simplify]: iteration 0 : 102 enodes (cost 103 ) 0.714 * * [simplify]: iteration 1 : 406 enodes (cost 98 ) 0.724 * * [simplify]: iteration 2 : 1841 enodes (cost 95 ) 0.779 * * [simplify]: iteration 3 : 5001 enodes (cost 95 ) 0.780 * [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)) (* 1/12 (pow x 4)) (* 1/12 (pow x 4)) (* 1/12 (pow x 4)) 0.780 * * * [progress]: adding candidates to table 0.847 * * [progress]: iteration 3 / 4 0.847 * * * [progress]: picking best candidate 0.850 * * * * [pick]: Picked # 0.850 * * * [progress]: localizing error 0.862 * * * [progress]: generating rewritten candidates 0.862 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.862 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.874 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 3) 0.883 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.918 * * * [progress]: generating series expansions 0.918 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.919 * [approximate]: Taking taylor expansion of (fma (exp x) (fma (- 2.0) 2.0 (exp (* 2 x))) (+ (exp x) 2.0)) in (x) around 0 0.919 * [taylor]: Taking taylor expansion of (fma (exp x) (fma (- 2.0) 2.0 (exp (* 2 x))) (+ (exp x) 2.0)) in x 0.919 * [taylor]: Rewrote expression to (+ (* (exp x) (fma (- 2.0) 2.0 (exp (* 2 x)))) (+ (exp x) 2.0)) 0.919 * [taylor]: Taking taylor expansion of (* (exp x) (fma (- 2.0) 2.0 (exp (* 2 x)))) in x 0.919 * [taylor]: Taking taylor expansion of (exp x) in x 0.919 * [taylor]: Taking taylor expansion of x in x 0.919 * [taylor]: Taking taylor expansion of (fma (- 2.0) 2.0 (exp (* 2 x))) in x 0.919 * [taylor]: Rewrote expression to (+ (* (- 2.0) 2.0) (exp (* 2 x))) 0.919 * [taylor]: Taking taylor expansion of (* (- 2.0) 2.0) in x 0.919 * [taylor]: Taking taylor expansion of (- 2.0) in x 0.919 * [taylor]: Taking taylor expansion of 2.0 in x 0.919 * [taylor]: Taking taylor expansion of 2.0 in x 0.919 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.919 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.919 * [taylor]: Taking taylor expansion of 2 in x 0.919 * [taylor]: Taking taylor expansion of x in x 0.920 * [taylor]: Taking taylor expansion of (+ (exp x) 2.0) in x 0.920 * [taylor]: Taking taylor expansion of (exp x) in x 0.920 * [taylor]: Taking taylor expansion of x in x 0.920 * [taylor]: Taking taylor expansion of 2.0 in x 0.920 * [taylor]: Taking taylor expansion of (fma (exp x) (fma (- 2.0) 2.0 (exp (* 2 x))) (+ (exp x) 2.0)) in x 0.920 * [taylor]: Rewrote expression to (+ (* (exp x) (fma (- 2.0) 2.0 (exp (* 2 x)))) (+ (exp x) 2.0)) 0.920 * [taylor]: Taking taylor expansion of (* (exp x) (fma (- 2.0) 2.0 (exp (* 2 x)))) in x 0.920 * [taylor]: Taking taylor expansion of (exp x) in x 0.920 * [taylor]: Taking taylor expansion of x in x 0.920 * [taylor]: Taking taylor expansion of (fma (- 2.0) 2.0 (exp (* 2 x))) in x 0.920 * [taylor]: Rewrote expression to (+ (* (- 2.0) 2.0) (exp (* 2 x))) 0.920 * [taylor]: Taking taylor expansion of (* (- 2.0) 2.0) in x 0.920 * [taylor]: Taking taylor expansion of (- 2.0) in x 0.921 * [taylor]: Taking taylor expansion of 2.0 in x 0.921 * [taylor]: Taking taylor expansion of 2.0 in x 0.921 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.921 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.921 * [taylor]: Taking taylor expansion of 2 in x 0.921 * [taylor]: Taking taylor expansion of x in x 0.921 * [taylor]: Taking taylor expansion of (+ (exp x) 2.0) in x 0.921 * [taylor]: Taking taylor expansion of (exp x) in x 0.921 * [taylor]: Taking taylor expansion of x in x 0.921 * [taylor]: Taking taylor expansion of 2.0 in x 0.962 * [approximate]: Taking taylor expansion of (fma (exp (/ 1 x)) (fma (- 2.0) 2.0 (exp (* 2 (/ 1 x)))) (+ (exp (/ 1 x)) 2.0)) in (x) around 0 0.962 * [taylor]: Taking taylor expansion of (fma (exp (/ 1 x)) (fma (- 2.0) 2.0 (exp (* 2 (/ 1 x)))) (+ (exp (/ 1 x)) 2.0)) in x 0.962 * [taylor]: Rewrote expression to (+ (* (exp (/ 1 x)) (fma (- 2.0) 2.0 (exp (* 2 (/ 1 x))))) (+ (exp (/ 1 x)) 2.0)) 0.962 * [taylor]: Taking taylor expansion of (* (exp (/ 1 x)) (fma (- 2.0) 2.0 (exp (* 2 (/ 1 x))))) in x 0.962 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.962 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.962 * [taylor]: Taking taylor expansion of x in x 0.962 * [taylor]: Taking taylor expansion of (fma (- 2.0) 2.0 (exp (* 2 (/ 1 x)))) in x 0.963 * [taylor]: Rewrote expression to (+ (* (- 2.0) 2.0) (exp (* 2 (/ 1 x)))) 0.963 * [taylor]: Taking taylor expansion of (* (- 2.0) 2.0) in x 0.963 * [taylor]: Taking taylor expansion of (- 2.0) in x 0.963 * [taylor]: Taking taylor expansion of 2.0 in x 0.963 * [taylor]: Taking taylor expansion of 2.0 in x 0.963 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 0.963 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.963 * [taylor]: Taking taylor expansion of 2 in x 0.963 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.963 * [taylor]: Taking taylor expansion of x in x 0.963 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 2.0) in x 0.963 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.963 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.963 * [taylor]: Taking taylor expansion of x in x 0.964 * [taylor]: Taking taylor expansion of 2.0 in x 0.964 * [taylor]: Taking taylor expansion of (fma (exp (/ 1 x)) (fma (- 2.0) 2.0 (exp (* 2 (/ 1 x)))) (+ (exp (/ 1 x)) 2.0)) in x 0.964 * [taylor]: Rewrote expression to (+ (* (exp (/ 1 x)) (fma (- 2.0) 2.0 (exp (* 2 (/ 1 x))))) (+ (exp (/ 1 x)) 2.0)) 0.964 * [taylor]: Taking taylor expansion of (* (exp (/ 1 x)) (fma (- 2.0) 2.0 (exp (* 2 (/ 1 x))))) in x 0.964 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.964 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.964 * [taylor]: Taking taylor expansion of x in x 0.964 * [taylor]: Taking taylor expansion of (fma (- 2.0) 2.0 (exp (* 2 (/ 1 x)))) in x 0.964 * [taylor]: Rewrote expression to (+ (* (- 2.0) 2.0) (exp (* 2 (/ 1 x)))) 0.964 * [taylor]: Taking taylor expansion of (* (- 2.0) 2.0) in x 0.964 * [taylor]: Taking taylor expansion of (- 2.0) in x 0.964 * [taylor]: Taking taylor expansion of 2.0 in x 0.964 * [taylor]: Taking taylor expansion of 2.0 in x 0.964 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 0.964 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.964 * [taylor]: Taking taylor expansion of 2 in x 0.964 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.964 * [taylor]: Taking taylor expansion of x in x 0.965 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 2.0) in x 0.965 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.965 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.965 * [taylor]: Taking taylor expansion of x in x 0.965 * [taylor]: Taking taylor expansion of 2.0 in x 0.983 * [approximate]: Taking taylor expansion of (fma (exp (/ -1 x)) (fma (- 2.0) 2.0 (exp (- (* 2 (/ 1 x))))) (+ (exp (/ -1 x)) 2.0)) in (x) around 0 0.983 * [taylor]: Taking taylor expansion of (fma (exp (/ -1 x)) (fma (- 2.0) 2.0 (exp (- (* 2 (/ 1 x))))) (+ (exp (/ -1 x)) 2.0)) in x 0.983 * [taylor]: Rewrote expression to (+ (* (exp (/ -1 x)) (fma (- 2.0) 2.0 (exp (- (* 2 (/ 1 x)))))) (+ (exp (/ -1 x)) 2.0)) 0.983 * [taylor]: Taking taylor expansion of (* (exp (/ -1 x)) (fma (- 2.0) 2.0 (exp (- (* 2 (/ 1 x)))))) in x 0.983 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.984 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.984 * [taylor]: Taking taylor expansion of -1 in x 0.984 * [taylor]: Taking taylor expansion of x in x 0.984 * [taylor]: Taking taylor expansion of (fma (- 2.0) 2.0 (exp (- (* 2 (/ 1 x))))) in x 0.984 * [taylor]: Rewrote expression to (+ (* (- 2.0) 2.0) (exp (- (* 2 (/ 1 x))))) 0.984 * [taylor]: Taking taylor expansion of (* (- 2.0) 2.0) in x 0.984 * [taylor]: Taking taylor expansion of (- 2.0) in x 0.984 * [taylor]: Taking taylor expansion of 2.0 in x 0.984 * [taylor]: Taking taylor expansion of 2.0 in x 0.984 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 0.984 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 0.984 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.984 * [taylor]: Taking taylor expansion of 2 in x 0.984 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.984 * [taylor]: Taking taylor expansion of x in x 0.985 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 2.0) in x 0.985 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.985 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.985 * [taylor]: Taking taylor expansion of -1 in x 0.985 * [taylor]: Taking taylor expansion of x in x 0.985 * [taylor]: Taking taylor expansion of 2.0 in x 0.985 * [taylor]: Taking taylor expansion of (fma (exp (/ -1 x)) (fma (- 2.0) 2.0 (exp (- (* 2 (/ 1 x))))) (+ (exp (/ -1 x)) 2.0)) in x 0.985 * [taylor]: Rewrote expression to (+ (* (exp (/ -1 x)) (fma (- 2.0) 2.0 (exp (- (* 2 (/ 1 x)))))) (+ (exp (/ -1 x)) 2.0)) 0.985 * [taylor]: Taking taylor expansion of (* (exp (/ -1 x)) (fma (- 2.0) 2.0 (exp (- (* 2 (/ 1 x)))))) in x 0.985 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.985 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.985 * [taylor]: Taking taylor expansion of -1 in x 0.985 * [taylor]: Taking taylor expansion of x in x 0.986 * [taylor]: Taking taylor expansion of (fma (- 2.0) 2.0 (exp (- (* 2 (/ 1 x))))) in x 0.986 * [taylor]: Rewrote expression to (+ (* (- 2.0) 2.0) (exp (- (* 2 (/ 1 x))))) 0.986 * [taylor]: Taking taylor expansion of (* (- 2.0) 2.0) in x 0.986 * [taylor]: Taking taylor expansion of (- 2.0) in x 0.986 * [taylor]: Taking taylor expansion of 2.0 in x 0.986 * [taylor]: Taking taylor expansion of 2.0 in x 0.986 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 0.986 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 0.986 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.986 * [taylor]: Taking taylor expansion of 2 in x 0.986 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.986 * [taylor]: Taking taylor expansion of x in x 0.987 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 2.0) in x 0.987 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.987 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.987 * [taylor]: Taking taylor expansion of -1 in x 0.987 * [taylor]: Taking taylor expansion of x in x 0.987 * [taylor]: Taking taylor expansion of 2.0 in x 1.005 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.005 * [approximate]: Taking taylor expansion of (+ (exp x) 2.0) in (x) around 0 1.005 * [taylor]: Taking taylor expansion of (+ (exp x) 2.0) in x 1.005 * [taylor]: Taking taylor expansion of (exp x) in x 1.005 * [taylor]: Taking taylor expansion of x in x 1.005 * [taylor]: Taking taylor expansion of 2.0 in x 1.005 * [taylor]: Taking taylor expansion of (+ (exp x) 2.0) in x 1.005 * [taylor]: Taking taylor expansion of (exp x) in x 1.005 * [taylor]: Taking taylor expansion of x in x 1.005 * [taylor]: Taking taylor expansion of 2.0 in x 1.008 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) 2.0) in (x) around 0 1.008 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 2.0) in x 1.008 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.008 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.008 * [taylor]: Taking taylor expansion of 2.0 in x 1.008 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 2.0) in x 1.008 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.008 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.008 * [taylor]: Taking taylor expansion of 2.0 in x 1.010 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 x)) 2.0) in (x) around 0 1.010 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 2.0) in x 1.010 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.010 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.010 * [taylor]: Taking taylor expansion of -1 in x 1.010 * [taylor]: Taking taylor expansion of x in x 1.010 * [taylor]: Taking taylor expansion of 2.0 in x 1.010 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 2.0) in x 1.010 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.010 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.010 * [taylor]: Taking taylor expansion of -1 in x 1.010 * [taylor]: Taking taylor expansion of x in x 1.011 * [taylor]: Taking taylor expansion of 2.0 in x 1.012 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 3) 1.012 * [approximate]: Taking taylor expansion of (+ (exp x) 2.0) in (x) around 0 1.012 * [taylor]: Taking taylor expansion of (+ (exp x) 2.0) in x 1.012 * [taylor]: Taking taylor expansion of (exp x) in x 1.012 * [taylor]: Taking taylor expansion of x in x 1.012 * [taylor]: Taking taylor expansion of 2.0 in x 1.012 * [taylor]: Taking taylor expansion of (+ (exp x) 2.0) in x 1.012 * [taylor]: Taking taylor expansion of (exp x) in x 1.012 * [taylor]: Taking taylor expansion of x in x 1.012 * [taylor]: Taking taylor expansion of 2.0 in x 1.015 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) 2.0) in (x) around 0 1.015 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 2.0) in x 1.015 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.015 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.015 * [taylor]: Taking taylor expansion of x in x 1.015 * [taylor]: Taking taylor expansion of 2.0 in x 1.015 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 2.0) in x 1.015 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.015 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.015 * [taylor]: Taking taylor expansion of x in x 1.015 * [taylor]: Taking taylor expansion of 2.0 in x 1.017 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 x)) 2.0) in (x) around 0 1.017 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 2.0) in x 1.017 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.017 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.017 * [taylor]: Taking taylor expansion of -1 in x 1.017 * [taylor]: Taking taylor expansion of x in x 1.017 * [taylor]: Taking taylor expansion of 2.0 in x 1.017 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 2.0) in x 1.017 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.017 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.017 * [taylor]: Taking taylor expansion of -1 in x 1.017 * [taylor]: Taking taylor expansion of x in x 1.018 * [taylor]: Taking taylor expansion of 2.0 in x 1.019 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.019 * [approximate]: Taking taylor expansion of (* (exp x) (+ (exp x) 2.0)) in (x) around 0 1.019 * [taylor]: Taking taylor expansion of (* (exp x) (+ (exp x) 2.0)) in x 1.019 * [taylor]: Taking taylor expansion of (exp x) in x 1.019 * [taylor]: Taking taylor expansion of x in x 1.019 * [taylor]: Taking taylor expansion of (+ (exp x) 2.0) in x 1.019 * [taylor]: Taking taylor expansion of (exp x) in x 1.019 * [taylor]: Taking taylor expansion of x in x 1.019 * [taylor]: Taking taylor expansion of 2.0 in x 1.019 * [taylor]: Taking taylor expansion of (* (exp x) (+ (exp x) 2.0)) in x 1.019 * [taylor]: Taking taylor expansion of (exp x) in x 1.019 * [taylor]: Taking taylor expansion of x in x 1.020 * [taylor]: Taking taylor expansion of (+ (exp x) 2.0) in x 1.020 * [taylor]: Taking taylor expansion of (exp x) in x 1.020 * [taylor]: Taking taylor expansion of x in x 1.020 * [taylor]: Taking taylor expansion of 2.0 in x 1.029 * [approximate]: Taking taylor expansion of (* (+ (exp (/ 1 x)) 2.0) (exp (/ 1 x))) in (x) around 0 1.029 * [taylor]: Taking taylor expansion of (* (+ (exp (/ 1 x)) 2.0) (exp (/ 1 x))) in x 1.029 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 2.0) in x 1.029 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.029 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.029 * [taylor]: Taking taylor expansion of x in x 1.029 * [taylor]: Taking taylor expansion of 2.0 in x 1.029 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.029 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.029 * [taylor]: Taking taylor expansion of x in x 1.029 * [taylor]: Taking taylor expansion of (* (+ (exp (/ 1 x)) 2.0) (exp (/ 1 x))) in x 1.030 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 2.0) in x 1.030 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.030 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.030 * [taylor]: Taking taylor expansion of x in x 1.030 * [taylor]: Taking taylor expansion of 2.0 in x 1.030 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.030 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.030 * [taylor]: Taking taylor expansion of x in x 1.036 * [approximate]: Taking taylor expansion of (* (exp (/ -1 x)) (+ (exp (/ -1 x)) 2.0)) in (x) around 0 1.036 * [taylor]: Taking taylor expansion of (* (exp (/ -1 x)) (+ (exp (/ -1 x)) 2.0)) in x 1.036 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.036 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.036 * [taylor]: Taking taylor expansion of -1 in x 1.036 * [taylor]: Taking taylor expansion of x in x 1.036 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 2.0) in x 1.036 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.036 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.036 * [taylor]: Taking taylor expansion of -1 in x 1.036 * [taylor]: Taking taylor expansion of x in x 1.037 * [taylor]: Taking taylor expansion of 2.0 in x 1.037 * [taylor]: Taking taylor expansion of (* (exp (/ -1 x)) (+ (exp (/ -1 x)) 2.0)) in x 1.037 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.037 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.037 * [taylor]: Taking taylor expansion of -1 in x 1.037 * [taylor]: Taking taylor expansion of x in x 1.037 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 2.0) in x 1.037 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.037 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.037 * [taylor]: Taking taylor expansion of -1 in x 1.037 * [taylor]: Taking taylor expansion of x in x 1.037 * [taylor]: Taking taylor expansion of 2.0 in x 1.043 * * * [progress]: simplifying candidates 1.044 * [simplify]: Simplifying using # : (expm1 (fma (exp x) (fma (- 2.0) 2.0 (exp (+ x x))) (+ (exp x) 2.0))) (log1p (fma (exp x) (fma (- 2.0) 2.0 (exp (+ x x))) (+ (exp x) 2.0))) (* (exp x) (fma (- 2.0) 2.0 (exp (+ x x)))) (log (fma (exp x) (fma (- 2.0) 2.0 (exp (+ x x))) (+ (exp x) 2.0))) (exp (fma (exp x) (fma (- 2.0) 2.0 (exp (+ x x))) (+ (exp x) 2.0))) (* (cbrt (fma (exp x) (fma (- 2.0) 2.0 (exp (+ x x))) (+ (exp x) 2.0))) (cbrt (fma (exp x) (fma (- 2.0) 2.0 (exp (+ x x))) (+ (exp x) 2.0)))) (cbrt (fma (exp x) (fma (- 2.0) 2.0 (exp (+ x x))) (+ (exp x) 2.0))) (* (* (fma (exp x) (fma (- 2.0) 2.0 (exp (+ x x))) (+ (exp x) 2.0)) (fma (exp x) (fma (- 2.0) 2.0 (exp (+ x x))) (+ (exp x) 2.0))) (fma (exp x) (fma (- 2.0) 2.0 (exp (+ x x))) (+ (exp x) 2.0))) (sqrt (fma (exp x) (fma (- 2.0) 2.0 (exp (+ x x))) (+ (exp x) 2.0))) (sqrt (fma (exp x) (fma (- 2.0) 2.0 (exp (+ x x))) (+ (exp x) 2.0))) (expm1 (+ (exp x) 2.0)) (log1p (+ (exp x) 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))) (- (* (exp x) (exp x)) (* 2.0 2.0)) (- (exp x) 2.0) (+ (exp x) 2.0) (expm1 (+ (exp x) 2.0)) (log1p (+ (exp x) 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))) (- (* (exp x) (exp x)) (* 2.0 2.0)) (- (exp x) 2.0) (+ (exp x) 2.0) (expm1 (* (+ (exp x) 2.0) (exp x))) (log1p (* (+ (exp x) 2.0) (exp x))) (* (+ (exp x) 2.0) (exp x)) (+ (log (+ (exp x) 2.0)) x) (log (* (+ (exp x) 2.0) (exp x))) (exp (* (+ (exp x) 2.0) (exp x))) (* (* (* (+ (exp x) 2.0) (+ (exp x) 2.0)) (+ (exp x) 2.0)) (* (* (exp x) (exp x)) (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))) (* (sqrt (+ (exp x) 2.0)) (sqrt (exp x))) (* (sqrt (+ (exp x) 2.0)) (sqrt (exp x))) (* (+ (exp x) 2.0) (* (cbrt (exp x)) (cbrt (exp x)))) (* (+ (exp x) 2.0) (sqrt (exp x))) (* (+ (exp x) 2.0) 1) (* (cbrt (+ (exp x) 2.0)) (exp x)) (* (sqrt (+ (exp x) 2.0)) (exp x)) (* (+ (exp x) 2.0) (exp x)) (* (+ (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)) (+ (* 3.0 (pow x 2)) (+ (* 3.9999999999999996 (pow x 3)) (* 3.2499999999999996 (pow x 4)))) (- (+ (* (exp x) (exp (* 2 x))) 2.0) (* 3.0 (exp x))) (- (+ (* (exp x) (exp (* 2 x))) 2.0) (* 3.0 (exp x))) (+ (* 1/2 (pow x 2)) (+ x 3.0)) (+ (exp x) 2.0) (+ (exp x) 2.0) (+ (* 1/2 (pow x 2)) (+ x 3.0)) (+ (exp x) 2.0) (+ (exp x) 2.0) (+ (* 3.0 (pow x 2)) (+ (* 4.0 x) 3.0)) (* (exp x) (+ (exp x) 2.0)) (* (exp x) (+ (exp x) 2.0)) 1.044 * [simplify]: Sending expressions to egg_math: (expm1 (fma (exp h0) (fma (- h1) h1 (exp (+ h0 h0))) (+ (exp h0) h1))) (log1p (fma (exp h0) (fma (- h1) h1 (exp (+ h0 h0))) (+ (exp h0) h1))) (* (exp h0) (fma (- h1) h1 (exp (+ h0 h0)))) (log (fma (exp h0) (fma (- h1) h1 (exp (+ h0 h0))) (+ (exp h0) h1))) (exp (fma (exp h0) (fma (- h1) h1 (exp (+ h0 h0))) (+ (exp h0) h1))) (* (cbrt (fma (exp h0) (fma (- h1) h1 (exp (+ h0 h0))) (+ (exp h0) h1))) (cbrt (fma (exp h0) (fma (- h1) h1 (exp (+ h0 h0))) (+ (exp h0) h1)))) (cbrt (fma (exp h0) (fma (- h1) h1 (exp (+ h0 h0))) (+ (exp h0) h1))) (* (* (fma (exp h0) (fma (- h1) h1 (exp (+ h0 h0))) (+ (exp h0) h1)) (fma (exp h0) (fma (- h1) h1 (exp (+ h0 h0))) (+ (exp h0) h1))) (fma (exp h0) (fma (- h1) h1 (exp (+ h0 h0))) (+ (exp h0) h1))) (sqrt (fma (exp h0) (fma (- h1) h1 (exp (+ h0 h0))) (+ (exp h0) h1))) (sqrt (fma (exp h0) (fma (- h1) h1 (exp (+ h0 h0))) (+ (exp h0) h1))) (expm1 (+ (exp h0) h1)) (log1p (+ (exp h0) 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))) (- (* (exp h0) (exp h0)) (* h1 h1)) (- (exp h0) h1) (+ (exp h0) h1) (expm1 (+ (exp h0) h1)) (log1p (+ (exp h0) 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))) (- (* (exp h0) (exp h0)) (* h1 h1)) (- (exp h0) h1) (+ (exp h0) h1) (expm1 (* (+ (exp h0) h1) (exp h0))) (log1p (* (+ (exp h0) h1) (exp h0))) (* (+ (exp h0) h1) (exp h0)) (+ (log (+ (exp h0) h1)) h0) (log (* (+ (exp h0) h1) (exp h0))) (exp (* (+ (exp h0) h1) (exp h0))) (* (* (* (+ (exp h0) h1) (+ (exp h0) h1)) (+ (exp h0) h1)) (* (* (exp h0) (exp h0)) (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))) (* (sqrt (+ (exp h0) h1)) (sqrt (exp h0))) (* (sqrt (+ (exp h0) h1)) (sqrt (exp h0))) (* (+ (exp h0) h1) (* (cbrt (exp h0)) (cbrt (exp h0)))) (* (+ (exp h0) h1) (sqrt (exp h0))) (* (+ (exp h0) h1) 1) (* (cbrt (+ (exp h0) h1)) (exp h0)) (* (sqrt (+ (exp h0) h1)) (exp h0)) (* (+ (exp h0) h1) (exp h0)) (* (+ (exp h0) h1) (exp h0)) (* (+ (pow (exp h0) 3) (pow h1 3)) (exp h0)) (* (- (* (exp h0) (exp h0)) (* h1 h1)) (exp h0)) (+ (* h2 (pow h0 2)) (+ (* h3 (pow h0 3)) (* h4 (pow h0 4)))) (- (+ (* (exp h0) (exp (* 2 h0))) h1) (* h2 (exp h0))) (- (+ (* (exp h0) (exp (* 2 h0))) h1) (* h2 (exp h0))) (+ (* 1/2 (pow h0 2)) (+ h0 h2)) (+ (exp h0) h1) (+ (exp h0) h1) (+ (* 1/2 (pow h0 2)) (+ h0 h2)) (+ (exp h0) h1) (+ (exp h0) h1) (+ (* h2 (pow h0 2)) (+ (* h5 h0) h2)) (* (exp h0) (+ (exp h0) h1)) (* (exp h0) (+ (exp h0) h1)) 1.048 * * [simplify]: iteration 0 : 214 enodes (cost 411 ) 1.053 * * [simplify]: iteration 1 : 742 enodes (cost 362 ) 1.068 * * [simplify]: iteration 2 : 3681 enodes (cost 362 ) 1.133 * * [simplify]: iteration 3 : 5001 enodes (cost 359 ) 1.135 * [simplify]: Simplified to: (expm1 (fma (exp x) (fma (- 2.0) 2.0 (exp (+ x x))) (+ (exp x) 2.0))) (log1p (fma (exp x) (fma (- 2.0) 2.0 (exp (+ x x))) (+ (exp x) 2.0))) (* (exp x) (fma (- 2.0) 2.0 (exp (+ x x)))) (log (fma (exp x) (fma (- 2.0) 2.0 (exp (+ x x))) (+ (exp x) 2.0))) (exp (fma (exp x) (fma (- 2.0) 2.0 (exp (+ x x))) (+ (exp x) 2.0))) (* (cbrt (fma (exp x) (fma (- 2.0) 2.0 (exp (+ x x))) (+ (exp x) 2.0))) (cbrt (fma (exp x) (fma (- 2.0) 2.0 (exp (+ x x))) (+ (exp x) 2.0)))) (cbrt (fma (exp x) (fma (- 2.0) 2.0 (exp (+ x x))) (+ (exp x) 2.0))) (pow (fma (exp x) (fma (- 2.0) 2.0 (exp (+ x x))) (+ (exp x) 2.0)) 3) (sqrt (fma (exp x) (fma (- 2.0) 2.0 (exp (+ x x))) (+ (exp x) 2.0))) (sqrt (fma (exp x) (fma (- 2.0) 2.0 (exp (+ x x))) (+ (exp x) 2.0))) (expm1 (+ (exp x) 2.0)) (log1p (+ (exp x) 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 (- 2.0 (exp x)) (exp (* 2 x))) (- (exp (* 2 x)) (* 2.0 2.0)) (- (exp x) 2.0) (+ (exp x) 2.0) (expm1 (+ (exp x) 2.0)) (log1p (+ (exp x) 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 (- 2.0 (exp x)) (exp (* 2 x))) (- (exp (* 2 x)) (* 2.0 2.0)) (- (exp x) 2.0) (+ (exp x) 2.0) (expm1 (* (+ (exp x) 2.0) (exp x))) (log1p (* (+ (exp x) 2.0) (exp x))) (* (exp x) (+ (exp x) 2.0)) (+ x (log (+ (exp x) 2.0))) (+ x (log (+ (exp x) 2.0))) (exp (* (+ (exp x) 2.0) (exp x))) (pow (* (exp x) (+ (exp x) 2.0)) 3) (* (cbrt (* (+ (exp x) 2.0) (exp x))) (cbrt (* (+ (exp x) 2.0) (exp x)))) (cbrt (* (+ (exp x) 2.0) (exp x))) (pow (* (exp x) (+ (exp x) 2.0)) 3) (sqrt (* (+ (exp x) 2.0) (exp x))) (sqrt (* (+ (exp x) 2.0) (exp x))) (* (sqrt (+ (exp x) 2.0)) (sqrt (exp x))) (* (sqrt (+ (exp x) 2.0)) (sqrt (exp x))) (* (+ (exp x) 2.0) (* (cbrt (exp x)) (cbrt (exp x)))) (* (+ (exp x) 2.0) (sqrt (exp x))) (+ (exp x) 2.0) (* (cbrt (+ (exp x) 2.0)) (exp x)) (* (sqrt (+ (exp x) 2.0)) (exp x)) (* (exp x) (+ (exp x) 2.0)) (* (exp x) (+ (exp x) 2.0)) (fma (pow 2.0 3) (exp x) (pow (exp x) 4)) (* (exp x) (fma (- 2.0) 2.0 (exp (+ x x)))) (fma 3.0 (pow x 2) (fma 3.9999999999999996 (pow x 3) (* 3.2499999999999996 (pow x 4)))) (fma (exp x) (- (exp (* 2 x)) 3.0) 2.0) (fma (exp x) (- (exp (* 2 x)) 3.0) 2.0) (fma 1/2 (pow x 2) (+ x 3.0)) (+ (exp x) 2.0) (+ (exp x) 2.0) (fma 1/2 (pow x 2) (+ x 3.0)) (+ (exp x) 2.0) (+ (exp x) 2.0) (fma 3.0 (pow x 2) (fma 4.0 x 3.0)) (* (exp x) (+ (exp x) 2.0)) (* (exp x) (+ (exp x) 2.0)) 1.136 * * * [progress]: adding candidates to table 1.360 * * [progress]: iteration 4 / 4 1.360 * * * [progress]: picking best candidate 1.362 * * * * [pick]: Picked # 1.362 * * * [progress]: localizing error 1.373 * * * [progress]: generating rewritten candidates 1.373 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.373 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.387 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.423 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.434 * * * [progress]: generating series expansions 1.434 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.435 * [approximate]: Taking taylor expansion of (fma (exp x) (- (exp (* 2 x)) 3.0) 2.0) in (x) around 0 1.435 * [taylor]: Taking taylor expansion of (fma (exp x) (- (exp (* 2 x)) 3.0) 2.0) in x 1.435 * [taylor]: Rewrote expression to (+ (* (exp x) (- (exp (* 2 x)) 3.0)) 2.0) 1.435 * [taylor]: Taking taylor expansion of (* (exp x) (- (exp (* 2 x)) 3.0)) in x 1.435 * [taylor]: Taking taylor expansion of (exp x) in x 1.435 * [taylor]: Taking taylor expansion of x in x 1.435 * [taylor]: Taking taylor expansion of (- (exp (* 2 x)) 3.0) in x 1.435 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 1.435 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.435 * [taylor]: Taking taylor expansion of 2 in x 1.435 * [taylor]: Taking taylor expansion of x in x 1.436 * [taylor]: Taking taylor expansion of 3.0 in x 1.436 * [taylor]: Taking taylor expansion of 2.0 in x 1.436 * [taylor]: Taking taylor expansion of (fma (exp x) (- (exp (* 2 x)) 3.0) 2.0) in x 1.436 * [taylor]: Rewrote expression to (+ (* (exp x) (- (exp (* 2 x)) 3.0)) 2.0) 1.436 * [taylor]: Taking taylor expansion of (* (exp x) (- (exp (* 2 x)) 3.0)) in x 1.436 * [taylor]: Taking taylor expansion of (exp x) in x 1.436 * [taylor]: Taking taylor expansion of x in x 1.436 * [taylor]: Taking taylor expansion of (- (exp (* 2 x)) 3.0) in x 1.436 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 1.436 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.436 * [taylor]: Taking taylor expansion of 2 in x 1.436 * [taylor]: Taking taylor expansion of x in x 1.437 * [taylor]: Taking taylor expansion of 3.0 in x 1.437 * [taylor]: Taking taylor expansion of 2.0 in x 1.464 * [approximate]: Taking taylor expansion of (fma (exp (/ 1 x)) (- (exp (/ 2 x)) 3.0) 2.0) in (x) around 0 1.464 * [taylor]: Taking taylor expansion of (fma (exp (/ 1 x)) (- (exp (/ 2 x)) 3.0) 2.0) in x 1.464 * [taylor]: Rewrote expression to (+ (* (exp (/ 1 x)) (- (exp (/ 2 x)) 3.0)) 2.0) 1.464 * [taylor]: Taking taylor expansion of (* (exp (/ 1 x)) (- (exp (/ 2 x)) 3.0)) in x 1.464 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.464 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.464 * [taylor]: Taking taylor expansion of x in x 1.464 * [taylor]: Taking taylor expansion of (- (exp (/ 2 x)) 3.0) in x 1.464 * [taylor]: Taking taylor expansion of (exp (/ 2 x)) in x 1.464 * [taylor]: Taking taylor expansion of (/ 2 x) in x 1.464 * [taylor]: Taking taylor expansion of 2 in x 1.464 * [taylor]: Taking taylor expansion of x in x 1.465 * [taylor]: Taking taylor expansion of 3.0 in x 1.465 * [taylor]: Taking taylor expansion of 2.0 in x 1.465 * [taylor]: Taking taylor expansion of (fma (exp (/ 1 x)) (- (exp (/ 2 x)) 3.0) 2.0) in x 1.465 * [taylor]: Rewrote expression to (+ (* (exp (/ 1 x)) (- (exp (/ 2 x)) 3.0)) 2.0) 1.465 * [taylor]: Taking taylor expansion of (* (exp (/ 1 x)) (- (exp (/ 2 x)) 3.0)) in x 1.465 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.465 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.465 * [taylor]: Taking taylor expansion of x in x 1.465 * [taylor]: Taking taylor expansion of (- (exp (/ 2 x)) 3.0) in x 1.465 * [taylor]: Taking taylor expansion of (exp (/ 2 x)) in x 1.465 * [taylor]: Taking taylor expansion of (/ 2 x) in x 1.465 * [taylor]: Taking taylor expansion of 2 in x 1.465 * [taylor]: Taking taylor expansion of x in x 1.466 * [taylor]: Taking taylor expansion of 3.0 in x 1.466 * [taylor]: Taking taylor expansion of 2.0 in x 1.474 * [approximate]: Taking taylor expansion of (fma (exp (/ -1 x)) (- (exp (/ -2 x)) 3.0) 2.0) in (x) around 0 1.474 * [taylor]: Taking taylor expansion of (fma (exp (/ -1 x)) (- (exp (/ -2 x)) 3.0) 2.0) in x 1.474 * [taylor]: Rewrote expression to (+ (* (exp (/ -1 x)) (- (exp (/ -2 x)) 3.0)) 2.0) 1.474 * [taylor]: Taking taylor expansion of (* (exp (/ -1 x)) (- (exp (/ -2 x)) 3.0)) in x 1.474 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.475 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.475 * [taylor]: Taking taylor expansion of -1 in x 1.475 * [taylor]: Taking taylor expansion of x in x 1.475 * [taylor]: Taking taylor expansion of (- (exp (/ -2 x)) 3.0) in x 1.475 * [taylor]: Taking taylor expansion of (exp (/ -2 x)) in x 1.475 * [taylor]: Taking taylor expansion of (/ -2 x) in x 1.475 * [taylor]: Taking taylor expansion of -2 in x 1.475 * [taylor]: Taking taylor expansion of x in x 1.475 * [taylor]: Taking taylor expansion of 3.0 in x 1.475 * [taylor]: Taking taylor expansion of 2.0 in x 1.475 * [taylor]: Taking taylor expansion of (fma (exp (/ -1 x)) (- (exp (/ -2 x)) 3.0) 2.0) in x 1.475 * [taylor]: Rewrote expression to (+ (* (exp (/ -1 x)) (- (exp (/ -2 x)) 3.0)) 2.0) 1.475 * [taylor]: Taking taylor expansion of (* (exp (/ -1 x)) (- (exp (/ -2 x)) 3.0)) in x 1.475 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.475 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.476 * [taylor]: Taking taylor expansion of -1 in x 1.476 * [taylor]: Taking taylor expansion of x in x 1.476 * [taylor]: Taking taylor expansion of (- (exp (/ -2 x)) 3.0) in x 1.476 * [taylor]: Taking taylor expansion of (exp (/ -2 x)) in x 1.476 * [taylor]: Taking taylor expansion of (/ -2 x) in x 1.476 * [taylor]: Taking taylor expansion of -2 in x 1.476 * [taylor]: Taking taylor expansion of x in x 1.476 * [taylor]: Taking taylor expansion of 3.0 in x 1.476 * [taylor]: Taking taylor expansion of 2.0 in x 1.488 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.488 * [approximate]: Taking taylor expansion of (- (exp (* 2 x)) 3.0) in (x) around 0 1.488 * [taylor]: Taking taylor expansion of (- (exp (* 2 x)) 3.0) in x 1.488 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 1.488 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.488 * [taylor]: Taking taylor expansion of 2 in x 1.488 * [taylor]: Taking taylor expansion of x in x 1.488 * [taylor]: Taking taylor expansion of 3.0 in x 1.489 * [taylor]: Taking taylor expansion of (- (exp (* 2 x)) 3.0) in x 1.489 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 1.489 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.489 * [taylor]: Taking taylor expansion of 2 in x 1.489 * [taylor]: Taking taylor expansion of x in x 1.489 * [taylor]: Taking taylor expansion of 3.0 in x 1.494 * [approximate]: Taking taylor expansion of (- (exp (/ 2 x)) 3.0) in (x) around 0 1.494 * [taylor]: Taking taylor expansion of (- (exp (/ 2 x)) 3.0) in x 1.494 * [taylor]: Taking taylor expansion of (exp (/ 2 x)) in x 1.494 * [taylor]: Taking taylor expansion of (/ 2 x) in x 1.494 * [taylor]: Taking taylor expansion of 2 in x 1.494 * [taylor]: Taking taylor expansion of x in x 1.494 * [taylor]: Taking taylor expansion of 3.0 in x 1.494 * [taylor]: Taking taylor expansion of (- (exp (/ 2 x)) 3.0) in x 1.494 * [taylor]: Taking taylor expansion of (exp (/ 2 x)) in x 1.494 * [taylor]: Taking taylor expansion of (/ 2 x) in x 1.494 * [taylor]: Taking taylor expansion of 2 in x 1.494 * [taylor]: Taking taylor expansion of x in x 1.494 * [taylor]: Taking taylor expansion of 3.0 in x 1.497 * [approximate]: Taking taylor expansion of (- (exp (/ -2 x)) 3.0) in (x) around 0 1.497 * [taylor]: Taking taylor expansion of (- (exp (/ -2 x)) 3.0) in x 1.497 * [taylor]: Taking taylor expansion of (exp (/ -2 x)) in x 1.497 * [taylor]: Taking taylor expansion of (/ -2 x) in x 1.497 * [taylor]: Taking taylor expansion of -2 in x 1.497 * [taylor]: Taking taylor expansion of x in x 1.498 * [taylor]: Taking taylor expansion of 3.0 in x 1.498 * [taylor]: Taking taylor expansion of (- (exp (/ -2 x)) 3.0) in x 1.498 * [taylor]: Taking taylor expansion of (exp (/ -2 x)) in x 1.498 * [taylor]: Taking taylor expansion of (/ -2 x) in x 1.498 * [taylor]: Taking taylor expansion of -2 in x 1.498 * [taylor]: Taking taylor expansion of x in x 1.498 * [taylor]: Taking taylor expansion of 3.0 in x 1.501 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.501 * [approximate]: Taking taylor expansion of (* (exp x) (+ (exp x) 2.0)) in (x) around 0 1.501 * [taylor]: Taking taylor expansion of (* (exp x) (+ (exp x) 2.0)) in x 1.501 * [taylor]: Taking taylor expansion of (exp x) in x 1.501 * [taylor]: Taking taylor expansion of x in x 1.501 * [taylor]: Taking taylor expansion of (+ (exp x) 2.0) in x 1.501 * [taylor]: Taking taylor expansion of (exp x) in x 1.501 * [taylor]: Taking taylor expansion of x in x 1.501 * [taylor]: Taking taylor expansion of 2.0 in x 1.501 * [taylor]: Taking taylor expansion of (* (exp x) (+ (exp x) 2.0)) in x 1.501 * [taylor]: Taking taylor expansion of (exp x) in x 1.501 * [taylor]: Taking taylor expansion of x in x 1.501 * [taylor]: Taking taylor expansion of (+ (exp x) 2.0) in x 1.501 * [taylor]: Taking taylor expansion of (exp x) in x 1.502 * [taylor]: Taking taylor expansion of x in x 1.502 * [taylor]: Taking taylor expansion of 2.0 in x 1.508 * [approximate]: Taking taylor expansion of (* (+ (exp (/ 1 x)) 2.0) (exp (/ 1 x))) in (x) around 0 1.508 * [taylor]: Taking taylor expansion of (* (+ (exp (/ 1 x)) 2.0) (exp (/ 1 x))) in x 1.508 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 2.0) in x 1.508 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.508 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.508 * [taylor]: Taking taylor expansion of x in x 1.508 * [taylor]: Taking taylor expansion of 2.0 in x 1.508 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.508 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.508 * [taylor]: Taking taylor expansion of x in x 1.509 * [taylor]: Taking taylor expansion of (* (+ (exp (/ 1 x)) 2.0) (exp (/ 1 x))) in x 1.509 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 2.0) in x 1.509 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.509 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.509 * [taylor]: Taking taylor expansion of x in x 1.509 * [taylor]: Taking taylor expansion of 2.0 in x 1.509 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.509 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.509 * [taylor]: Taking taylor expansion of x in x 1.515 * [approximate]: Taking taylor expansion of (* (exp (/ -1 x)) (+ (exp (/ -1 x)) 2.0)) in (x) around 0 1.515 * [taylor]: Taking taylor expansion of (* (exp (/ -1 x)) (+ (exp (/ -1 x)) 2.0)) in x 1.515 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.515 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.515 * [taylor]: Taking taylor expansion of -1 in x 1.515 * [taylor]: Taking taylor expansion of x in x 1.515 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 2.0) in x 1.515 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.515 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.515 * [taylor]: Taking taylor expansion of -1 in x 1.515 * [taylor]: Taking taylor expansion of x in x 1.516 * [taylor]: Taking taylor expansion of 2.0 in x 1.516 * [taylor]: Taking taylor expansion of (* (exp (/ -1 x)) (+ (exp (/ -1 x)) 2.0)) in x 1.516 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.516 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.516 * [taylor]: Taking taylor expansion of -1 in x 1.516 * [taylor]: Taking taylor expansion of x in x 1.516 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 2.0) in x 1.516 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.516 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.516 * [taylor]: Taking taylor expansion of -1 in x 1.516 * [taylor]: Taking taylor expansion of x in x 1.517 * [taylor]: Taking taylor expansion of 2.0 in x 1.522 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.522 * [approximate]: Taking taylor expansion of (+ (exp x) 2.0) in (x) around 0 1.522 * [taylor]: Taking taylor expansion of (+ (exp x) 2.0) in x 1.522 * [taylor]: Taking taylor expansion of (exp x) in x 1.522 * [taylor]: Taking taylor expansion of x in x 1.522 * [taylor]: Taking taylor expansion of 2.0 in x 1.522 * [taylor]: Taking taylor expansion of (+ (exp x) 2.0) in x 1.522 * [taylor]: Taking taylor expansion of (exp x) in x 1.522 * [taylor]: Taking taylor expansion of x in x 1.522 * [taylor]: Taking taylor expansion of 2.0 in x 1.525 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) 2.0) in (x) around 0 1.525 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 2.0) 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 x in x 1.525 * [taylor]: Taking taylor expansion of 2.0 in x 1.525 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 2.0) 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 x in x 1.526 * [taylor]: Taking taylor expansion of 2.0 in x 1.527 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 x)) 2.0) in (x) around 0 1.527 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 2.0) in x 1.527 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.527 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.527 * [taylor]: Taking taylor expansion of -1 in x 1.527 * [taylor]: Taking taylor expansion of x in x 1.528 * [taylor]: Taking taylor expansion of 2.0 in x 1.528 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 2.0) in x 1.528 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.528 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.528 * [taylor]: Taking taylor expansion of -1 in x 1.528 * [taylor]: Taking taylor expansion of x in x 1.528 * [taylor]: Taking taylor expansion of 2.0 in x 1.530 * * * [progress]: simplifying candidates 1.531 * [simplify]: Simplifying using # : (expm1 (fma (exp x) (- (exp (* 2 x)) 3.0) 2.0)) (log1p (fma (exp x) (- (exp (* 2 x)) 3.0) 2.0)) (* (exp x) (- (exp (* 2 x)) 3.0)) (log (fma (exp x) (- (exp (* 2 x)) 3.0) 2.0)) (exp (fma (exp x) (- (exp (* 2 x)) 3.0) 2.0)) (* (cbrt (fma (exp x) (- (exp (* 2 x)) 3.0) 2.0)) (cbrt (fma (exp x) (- (exp (* 2 x)) 3.0) 2.0))) (cbrt (fma (exp x) (- (exp (* 2 x)) 3.0) 2.0)) (* (* (fma (exp x) (- (exp (* 2 x)) 3.0) 2.0) (fma (exp x) (- (exp (* 2 x)) 3.0) 2.0)) (fma (exp x) (- (exp (* 2 x)) 3.0) 2.0)) (sqrt (fma (exp x) (- (exp (* 2 x)) 3.0) 2.0)) (sqrt (fma (exp x) (- (exp (* 2 x)) 3.0) 2.0)) (fma (* (cbrt (exp (* 2 x))) (cbrt (exp (* 2 x)))) (cbrt (exp (* 2 x))) (- (* (cbrt 3.0) (* (cbrt 3.0) (cbrt 3.0))))) (fma (- (cbrt 3.0)) (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (cbrt 3.0) (cbrt 3.0)))) (fma (* (cbrt (exp (* 2 x))) (cbrt (exp (* 2 x)))) (cbrt (exp (* 2 x))) (- (* (sqrt 3.0) (sqrt 3.0)))) (fma (- (sqrt 3.0)) (sqrt 3.0) (* (sqrt 3.0) (sqrt 3.0))) (fma (* (cbrt (exp (* 2 x))) (cbrt (exp (* 2 x)))) (cbrt (exp (* 2 x))) (- (* 3.0 1))) (fma (- 3.0) 1 (* 3.0 1)) (fma (sqrt (exp (* 2 x))) (sqrt (exp (* 2 x))) (- (* (cbrt 3.0) (* (cbrt 3.0) (cbrt 3.0))))) (fma (- (cbrt 3.0)) (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (cbrt 3.0) (cbrt 3.0)))) (fma (sqrt (exp (* 2 x))) (sqrt (exp (* 2 x))) (- (* (sqrt 3.0) (sqrt 3.0)))) (fma (- (sqrt 3.0)) (sqrt 3.0) (* (sqrt 3.0) (sqrt 3.0))) (fma (sqrt (exp (* 2 x))) (sqrt (exp (* 2 x))) (- (* 3.0 1))) (fma (- 3.0) 1 (* 3.0 1)) (fma 1 (exp (* 2 x)) (- (* (cbrt 3.0) (* (cbrt 3.0) (cbrt 3.0))))) (fma (- (cbrt 3.0)) (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (cbrt 3.0) (cbrt 3.0)))) (fma 1 (exp (* 2 x)) (- (* (sqrt 3.0) (sqrt 3.0)))) (fma (- (sqrt 3.0)) (sqrt 3.0) (* (sqrt 3.0) (sqrt 3.0))) (fma 1 (exp (* 2 x)) (- (* 3.0 1))) (fma (- 3.0) 1 (* 3.0 1)) (expm1 (- (exp (* 2 x)) 3.0)) (log1p (- (exp (* 2 x)) 3.0)) (- 3.0) (- 3.0) (- 3.0) (/ (exp (exp (* 2 x))) (exp 3.0)) (log (- (exp (* 2 x)) 3.0)) (exp (- (exp (* 2 x)) 3.0)) (* (cbrt (- (exp (* 2 x)) 3.0)) (cbrt (- (exp (* 2 x)) 3.0))) (cbrt (- (exp (* 2 x)) 3.0)) (* (* (- (exp (* 2 x)) 3.0) (- (exp (* 2 x)) 3.0)) (- (exp (* 2 x)) 3.0)) (sqrt (- (exp (* 2 x)) 3.0)) (sqrt (- (exp (* 2 x)) 3.0)) (- (pow (exp (* 2 x)) 3) (pow 3.0 3)) (+ (* (exp (* 2 x)) (exp (* 2 x))) (+ (* 3.0 3.0) (* (exp (* 2 x)) 3.0))) (- 3.0) (- (* (exp (* 2 x)) (exp (* 2 x))) (* 3.0 3.0)) (+ (exp (* 2 x)) 3.0) (+ (sqrt (exp (* 2 x))) (sqrt 3.0)) (- (sqrt (exp (* 2 x))) (sqrt 3.0)) (- (exp (* 2 x)) 3.0) (- 3.0) (expm1 (* (+ (exp x) 2.0) (exp x))) (log1p (* (+ (exp x) 2.0) (exp x))) (* (+ (exp x) 2.0) (exp x)) (+ (log (+ (exp x) 2.0)) x) (log (* (+ (exp x) 2.0) (exp x))) (exp (* (+ (exp x) 2.0) (exp x))) (* (* (* (+ (exp x) 2.0) (+ (exp x) 2.0)) (+ (exp x) 2.0)) (* (* (exp x) (exp x)) (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))) (* (sqrt (+ (exp x) 2.0)) (sqrt (exp x))) (* (sqrt (+ (exp x) 2.0)) (sqrt (exp x))) (* (+ (exp x) 2.0) (* (cbrt (exp x)) (cbrt (exp x)))) (* (+ (exp x) 2.0) (sqrt (exp x))) (* (+ (exp x) 2.0) 1) (* (cbrt (+ (exp x) 2.0)) (exp x)) (* (sqrt (+ (exp x) 2.0)) (exp x)) (* (+ (exp x) 2.0) (exp x)) (* (+ (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)) (expm1 (+ (exp x) 2.0)) (log1p (+ (exp x) 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))) (- (* (exp x) (exp x)) (* 2.0 2.0)) (- (exp x) 2.0) (+ (exp x) 2.0) (+ (* 3.0 (pow x 2)) (+ (* 4.0 (pow x 3)) (* 3.2499999999999996 (pow x 4)))) (- (+ (* (exp x) (exp (* 2 x))) 2.0) (* 3.0 (exp x))) (- (+ (* (exp x) (exp (* 2 x))) 2.0) (* 3.0 (exp x))) (- (+ (* 2 (pow x 2)) (* 2 x)) 2.0) (- (exp (* 2 x)) 3.0) (- (exp (* 2 x)) 3.0) (+ (* 3.0 (pow x 2)) (+ (* 4.0 x) 3.0)) (* (exp x) (+ (exp x) 2.0)) (* (exp x) (+ (exp x) 2.0)) (+ (* 1/2 (pow x 2)) (+ x 3.0)) (+ (exp x) 2.0) (+ (exp x) 2.0) 1.531 * [simplify]: Sending expressions to egg_math: (expm1 (fma (exp h0) (- (exp (* 2 h0)) h1) h2)) (log1p (fma (exp h0) (- (exp (* 2 h0)) h1) h2)) (* (exp h0) (- (exp (* 2 h0)) h1)) (log (fma (exp h0) (- (exp (* 2 h0)) h1) h2)) (exp (fma (exp h0) (- (exp (* 2 h0)) h1) h2)) (* (cbrt (fma (exp h0) (- (exp (* 2 h0)) h1) h2)) (cbrt (fma (exp h0) (- (exp (* 2 h0)) h1) h2))) (cbrt (fma (exp h0) (- (exp (* 2 h0)) h1) h2)) (* (* (fma (exp h0) (- (exp (* 2 h0)) h1) h2) (fma (exp h0) (- (exp (* 2 h0)) h1) h2)) (fma (exp h0) (- (exp (* 2 h0)) h1) h2)) (sqrt (fma (exp h0) (- (exp (* 2 h0)) h1) h2)) (sqrt (fma (exp h0) (- (exp (* 2 h0)) h1) h2)) (fma (* (cbrt (exp (* 2 h0))) (cbrt (exp (* 2 h0)))) (cbrt (exp (* 2 h0))) (- (* (cbrt h1) (* (cbrt h1) (cbrt h1))))) (fma (- (cbrt h1)) (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (* (cbrt h1) (cbrt h1)))) (fma (* (cbrt (exp (* 2 h0))) (cbrt (exp (* 2 h0)))) (cbrt (exp (* 2 h0))) (- (* (sqrt h1) (sqrt h1)))) (fma (- (sqrt h1)) (sqrt h1) (* (sqrt h1) (sqrt h1))) (fma (* (cbrt (exp (* 2 h0))) (cbrt (exp (* 2 h0)))) (cbrt (exp (* 2 h0))) (- (* h1 1))) (fma (- h1) 1 (* h1 1)) (fma (sqrt (exp (* 2 h0))) (sqrt (exp (* 2 h0))) (- (* (cbrt h1) (* (cbrt h1) (cbrt h1))))) (fma (- (cbrt h1)) (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (* (cbrt h1) (cbrt h1)))) (fma (sqrt (exp (* 2 h0))) (sqrt (exp (* 2 h0))) (- (* (sqrt h1) (sqrt h1)))) (fma (- (sqrt h1)) (sqrt h1) (* (sqrt h1) (sqrt h1))) (fma (sqrt (exp (* 2 h0))) (sqrt (exp (* 2 h0))) (- (* h1 1))) (fma (- h1) 1 (* h1 1)) (fma 1 (exp (* 2 h0)) (- (* (cbrt h1) (* (cbrt h1) (cbrt h1))))) (fma (- (cbrt h1)) (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (* (cbrt h1) (cbrt h1)))) (fma 1 (exp (* 2 h0)) (- (* (sqrt h1) (sqrt h1)))) (fma (- (sqrt h1)) (sqrt h1) (* (sqrt h1) (sqrt h1))) (fma 1 (exp (* 2 h0)) (- (* h1 1))) (fma (- h1) 1 (* h1 1)) (expm1 (- (exp (* 2 h0)) h1)) (log1p (- (exp (* 2 h0)) h1)) (- h1) (- h1) (- h1) (/ (exp (exp (* 2 h0))) (exp h1)) (log (- (exp (* 2 h0)) h1)) (exp (- (exp (* 2 h0)) h1)) (* (cbrt (- (exp (* 2 h0)) h1)) (cbrt (- (exp (* 2 h0)) h1))) (cbrt (- (exp (* 2 h0)) h1)) (* (* (- (exp (* 2 h0)) h1) (- (exp (* 2 h0)) h1)) (- (exp (* 2 h0)) h1)) (sqrt (- (exp (* 2 h0)) h1)) (sqrt (- (exp (* 2 h0)) h1)) (- (pow (exp (* 2 h0)) 3) (pow h1 3)) (+ (* (exp (* 2 h0)) (exp (* 2 h0))) (+ (* h1 h1) (* (exp (* 2 h0)) h1))) (- h1) (- (* (exp (* 2 h0)) (exp (* 2 h0))) (* h1 h1)) (+ (exp (* 2 h0)) h1) (+ (sqrt (exp (* 2 h0))) (sqrt h1)) (- (sqrt (exp (* 2 h0))) (sqrt h1)) (- (exp (* 2 h0)) h1) (- h1) (expm1 (* (+ (exp h0) h2) (exp h0))) (log1p (* (+ (exp h0) h2) (exp h0))) (* (+ (exp h0) h2) (exp h0)) (+ (log (+ (exp h0) h2)) h0) (log (* (+ (exp h0) h2) (exp h0))) (exp (* (+ (exp h0) h2) (exp h0))) (* (* (* (+ (exp h0) h2) (+ (exp h0) h2)) (+ (exp h0) h2)) (* (* (exp h0) (exp h0)) (exp h0))) (* (cbrt (* (+ (exp h0) h2) (exp h0))) (cbrt (* (+ (exp h0) h2) (exp h0)))) (cbrt (* (+ (exp h0) h2) (exp h0))) (* (* (* (+ (exp h0) h2) (exp h0)) (* (+ (exp h0) h2) (exp h0))) (* (+ (exp h0) h2) (exp h0))) (sqrt (* (+ (exp h0) h2) (exp h0))) (sqrt (* (+ (exp h0) h2) (exp h0))) (* (sqrt (+ (exp h0) h2)) (sqrt (exp h0))) (* (sqrt (+ (exp h0) h2)) (sqrt (exp h0))) (* (+ (exp h0) h2) (* (cbrt (exp h0)) (cbrt (exp h0)))) (* (+ (exp h0) h2) (sqrt (exp h0))) (* (+ (exp h0) h2) 1) (* (cbrt (+ (exp h0) h2)) (exp h0)) (* (sqrt (+ (exp h0) h2)) (exp h0)) (* (+ (exp h0) h2) (exp h0)) (* (+ (exp h0) h2) (exp h0)) (* (+ (pow (exp h0) 3) (pow h2 3)) (exp h0)) (* (- (* (exp h0) (exp h0)) (* h2 h2)) (exp h0)) (expm1 (+ (exp h0) h2)) (log1p (+ (exp h0) h2)) (* (exp (exp h0)) (exp h2)) (log (+ (exp h0) h2)) (exp (+ (exp h0) h2)) (* (cbrt (+ (exp h0) h2)) (cbrt (+ (exp h0) h2))) (cbrt (+ (exp h0) h2)) (* (* (+ (exp h0) h2) (+ (exp h0) h2)) (+ (exp h0) h2)) (sqrt (+ (exp h0) h2)) (sqrt (+ (exp h0) h2)) (+ (pow (exp h0) 3) (pow h2 3)) (+ (* (exp h0) (exp h0)) (- (* h2 h2) (* (exp h0) h2))) (- (* (exp h0) (exp h0)) (* h2 h2)) (- (exp h0) h2) (+ (exp h0) h2) (+ (* h1 (pow h0 2)) (+ (* h3 (pow h0 3)) (* h4 (pow h0 4)))) (- (+ (* (exp h0) (exp (* 2 h0))) h2) (* h1 (exp h0))) (- (+ (* (exp h0) (exp (* 2 h0))) h2) (* h1 (exp h0))) (- (+ (* 2 (pow h0 2)) (* 2 h0)) h2) (- (exp (* 2 h0)) h1) (- (exp (* 2 h0)) h1) (+ (* h1 (pow h0 2)) (+ (* h3 h0) h1)) (* (exp h0) (+ (exp h0) h2)) (* (exp h0) (+ (exp h0) h2)) (+ (* 1/2 (pow h0 2)) (+ h0 h1)) (+ (exp h0) h2) (+ (exp h0) h2) 1.536 * * [simplify]: iteration 0 : 328 enodes (cost 558 ) 1.542 * * [simplify]: iteration 1 : 1139 enodes (cost 440 ) 1.568 * * [simplify]: iteration 2 : 5002 enodes (cost 435 ) 1.570 * [simplify]: Simplified to: (expm1 (fma (exp x) (- (exp (* 2 x)) 3.0) 2.0)) (log1p (fma (exp x) (- (exp (* 2 x)) 3.0) 2.0)) (* (exp x) (- (exp (* 2 x)) 3.0)) (log (fma (exp x) (- (exp (* 2 x)) 3.0) 2.0)) (exp (fma (exp x) (- (exp (* 2 x)) 3.0) 2.0)) (* (cbrt (fma (exp x) (- (exp (* 2 x)) 3.0) 2.0)) (cbrt (fma (exp x) (- (exp (* 2 x)) 3.0) 2.0))) (cbrt (fma (exp x) (- (exp (* 2 x)) 3.0) 2.0)) (pow (fma (exp x) (- (exp (* 2 x)) 3.0) 2.0) 3) (sqrt (fma (exp x) (- (exp (* 2 x)) 3.0) 2.0)) (sqrt (fma (exp x) (- (exp (* 2 x)) 3.0) 2.0)) (- (* (* (cbrt (exp (* 2 x))) (cbrt (exp (* 2 x)))) (cbrt (exp (* 2 x)))) 3.0) (fma (- 3.0) 1 3.0) (- (* (* (cbrt (exp (* 2 x))) (cbrt (exp (* 2 x)))) (cbrt (exp (* 2 x)))) 3.0) (fma (- 3.0) 1 3.0) (- (* (* (cbrt (exp (* 2 x))) (cbrt (exp (* 2 x)))) (cbrt (exp (* 2 x)))) 3.0) (fma (- 3.0) 1 3.0) (- (exp (* 2 x)) 3.0) (fma (- 3.0) 1 3.0) (- (exp (* 2 x)) 3.0) (fma (- 3.0) 1 3.0) (- (exp (* 2 x)) 3.0) (fma (- 3.0) 1 3.0) (- (exp (* 2 x)) 3.0) (fma (- 3.0) 1 3.0) (- (exp (* 2 x)) 3.0) (fma (- 3.0) 1 3.0) (- (exp (* 2 x)) 3.0) (fma (- 3.0) 1 3.0) (expm1 (- (exp (* 2 x)) 3.0)) (log1p (- (exp (* 2 x)) 3.0)) (- 3.0) (- 3.0) (- 3.0) (exp (- (exp (* 2 x)) 3.0)) (log (- (exp (* 2 x)) 3.0)) (exp (- (exp (* 2 x)) 3.0)) (* (cbrt (- (exp (* 2 x)) 3.0)) (cbrt (- (exp (* 2 x)) 3.0))) (cbrt (- (exp (* 2 x)) 3.0)) (pow (- (exp (* 2 x)) 3.0) 3) (sqrt (- (exp (* 2 x)) 3.0)) (sqrt (- (exp (* 2 x)) 3.0)) (- (pow (exp (* 2 x)) 3) (pow 3.0 3)) (fma (+ (exp (* 2 x)) 3.0) 3.0 (pow (exp 2) (* 2 x))) (- 3.0) (fma (- 3.0) 3.0 (pow (exp 2) (* 2 x))) (+ (exp (* 2 x)) 3.0) (+ (sqrt (exp (* 2 x))) (sqrt 3.0)) (- (sqrt (exp (* 2 x))) (sqrt 3.0)) (- (exp (* 2 x)) 3.0) (- 3.0) (expm1 (* (+ (exp x) 2.0) (exp x))) (log1p (* (+ (exp x) 2.0) (exp x))) (* (exp x) (+ (exp x) 2.0)) (+ x (log (+ (exp x) 2.0))) (+ x (log (+ (exp x) 2.0))) (exp (* (+ (exp x) 2.0) (exp x))) (pow (* (exp x) (+ (exp x) 2.0)) 3) (* (cbrt (* (+ (exp x) 2.0) (exp x))) (cbrt (* (+ (exp x) 2.0) (exp x)))) (cbrt (* (+ (exp x) 2.0) (exp x))) (pow (* (exp x) (+ (exp x) 2.0)) 3) (sqrt (* (+ (exp x) 2.0) (exp x))) (sqrt (* (+ (exp x) 2.0) (exp x))) (* (sqrt (+ (exp x) 2.0)) (sqrt (exp x))) (* (sqrt (+ (exp x) 2.0)) (sqrt (exp x))) (* (+ (exp x) 2.0) (* (cbrt (exp x)) (cbrt (exp x)))) (* (+ (exp x) 2.0) (sqrt (exp x))) (+ (exp x) 2.0) (* (cbrt (+ (exp x) 2.0)) (exp x)) (* (sqrt (+ (exp x) 2.0)) (exp x)) (* (exp x) (+ (exp x) 2.0)) (* (exp x) (+ (exp x) 2.0)) (* (+ (pow (exp x) 3) (pow 2.0 3)) (exp x)) (* (exp x) (fma (- 2.0) 2.0 (exp (* 2 x)))) (expm1 (+ (exp x) 2.0)) (log1p (+ (exp x) 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 (- 2.0 (exp x)) (exp (+ x x))) (fma (- 2.0) 2.0 (exp (* 2 x))) (- (exp x) 2.0) (+ (exp x) 2.0) (fma 3.0 (pow x 2) (fma 4.0 (pow x 3) (* 3.2499999999999996 (pow x 4)))) (fma (exp x) (- (exp (* 2 x)) 3.0) 2.0) (fma (exp x) (- (exp (* 2 x)) 3.0) 2.0) (fma (fma x x x) 2 (- 2.0)) (- (exp (* 2 x)) 3.0) (- (exp (* 2 x)) 3.0) (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 1/2 (pow x 2) (+ x 3.0)) (+ (exp x) 2.0) (+ (exp x) 2.0) 1.571 * * * [progress]: adding candidates to table 1.788 * [progress]: [Phase 3 of 3] Extracting. 1.789 * * [regime]: Finding splitpoints for: (# # #) 1.789 * * * [regime-changes]: Trying 1 branch expressions: (x) 1.789 * * * * [regimes]: Trying to branch on x from (# # #) 1.804 * * * [regime]: Found split indices: #