Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2, D

Average Error: 28.9 → 1.7

Time: 26.6s

Precision: binary64

Cost: 54852

Math

\[x + \frac{y \cdot \left(\left(\left(\left(z \cdot 3.13060547623 + 11.1667541262\right) \cdot z + t\right) \cdot z + a\right) \cdot z + b\right)}{\left(\left(\left(z + 15.234687407\right) \cdot z + 31.4690115749\right) \cdot z + 11.9400905721\right) \cdot z + 0.607771387771} \]

↓

\[\begin{array}{l} \mathbf{if}\;\frac{y \cdot \left(z \cdot \left(z \cdot \left(z \cdot \left(z \cdot 3.13060547623 + 11.1667541262\right) + t\right) + a\right) + b\right)}{0.607771387771 + z \cdot \left(11.9400905721 + z \cdot \left(31.4690115749 + z \cdot \left(z + 15.234687407\right)\right)\right)} \leq 2 \cdot 10^{+273}:\\ \;\;\;\;\mathsf{fma}\left(y, \frac{\mathsf{fma}\left(z, \mathsf{fma}\left(z, \mathsf{fma}\left(z, \mathsf{fma}\left(z, 3.13060547623, 11.1667541262\right), t\right), a\right), b\right)}{\mathsf{fma}\left(z, \mathsf{fma}\left(z, \mathsf{fma}\left(z, z + 15.234687407, 31.4690115749\right), 11.9400905721\right), 0.607771387771\right)}, x\right)\\ \mathbf{else}:\\ \;\;\;\;\mathsf{fma}\left(-36.52704169880642, \frac{y}{z}, \frac{y}{z \cdot z} \cdot \left(\left(t + 457.9610022158428\right) + \frac{a + \left(-5864.8025282699045 + t \cdot -15.234687407\right)}{z}\right) + \mathsf{fma}\left(3.13060547623, y, x\right)\right)\\ \end{array} \]

FPCore

(FPCore (x y z t a b)
 :precision binary64
 (+
  x
  (/
   (*
    y
    (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
   (+
    (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)
    0.607771387771))))

↓

(FPCore (x y z t a b)
 :precision binary64
 (if (<=
      (/
       (*
        y
        (+
         (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a))
         b))
       (+
        0.607771387771
        (*
         z
         (+ 11.9400905721 (* z (+ 31.4690115749 (* z (+ z 15.234687407))))))))
      2e+273)
   (fma
    y
    (/
     (fma z (fma z (fma z (fma z 3.13060547623 11.1667541262) t) a) b)
     (fma
      z
      (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721)
      0.607771387771))
    x)
   (fma
    -36.52704169880642
    (/ y z)
    (+
     (*
      (/ y (* z z))
      (+
       (+ t 457.9610022158428)
       (/ (+ a (+ -5864.8025282699045 (* t -15.234687407))) z)))
     (fma 3.13060547623 y x)))))

C

double code(double x, double y, double z, double t, double a, double b) {
	return x + ((y * ((((((((z * 3.13060547623) + 11.1667541262) * z) + t) * z) + a) * z) + b)) / (((((((z + 15.234687407) * z) + 31.4690115749) * z) + 11.9400905721) * z) + 0.607771387771));
}

↓

double code(double x, double y, double z, double t, double a, double b) {
	double tmp;
	if (((y * ((z * ((z * ((z * ((z * 3.13060547623) + 11.1667541262)) + t)) + a)) + b)) / (0.607771387771 + (z * (11.9400905721 + (z * (31.4690115749 + (z * (z + 15.234687407)))))))) <= 2e+273) {
		tmp = fma(y, (fma(z, fma(z, fma(z, fma(z, 3.13060547623, 11.1667541262), t), a), b) / fma(z, fma(z, fma(z, (z + 15.234687407), 31.4690115749), 11.9400905721), 0.607771387771)), x);
	} else {
		tmp = fma(-36.52704169880642, (y / z), (((y / (z * z)) * ((t + 457.9610022158428) + ((a + (-5864.8025282699045 + (t * -15.234687407))) / z))) + fma(3.13060547623, y, x)));
	}
	return tmp;
}

Julia

function code(x, y, z, t, a, b)
	return Float64(x + Float64(Float64(y * Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(z * 3.13060547623) + 11.1667541262) * z) + t) * z) + a) * z) + b)) / Float64(Float64(Float64(Float64(Float64(Float64(Float64(z + 15.234687407) * z) + 31.4690115749) * z) + 11.9400905721) * z) + 0.607771387771)))
end

↓

function code(x, y, z, t, a, b)
	tmp = 0.0
	if (Float64(Float64(y * Float64(Float64(z * Float64(Float64(z * Float64(Float64(z * Float64(Float64(z * 3.13060547623) + 11.1667541262)) + t)) + a)) + b)) / Float64(0.607771387771 + Float64(z * Float64(11.9400905721 + Float64(z * Float64(31.4690115749 + Float64(z * Float64(z + 15.234687407)))))))) <= 2e+273)
		tmp = fma(y, Float64(fma(z, fma(z, fma(z, fma(z, 3.13060547623, 11.1667541262), t), a), b) / fma(z, fma(z, fma(z, Float64(z + 15.234687407), 31.4690115749), 11.9400905721), 0.607771387771)), x);
	else
		tmp = fma(-36.52704169880642, Float64(y / z), Float64(Float64(Float64(y / Float64(z * z)) * Float64(Float64(t + 457.9610022158428) + Float64(Float64(a + Float64(-5864.8025282699045 + Float64(t * -15.234687407))) / z))) + fma(3.13060547623, y, x)));
	end
	return tmp
end

Wolfram

code[x_, y_, z_, t_, a_, b_] := N[(x + N[(N[(y * N[(N[(N[(N[(N[(N[(N[(N[(z * 3.13060547623), $MachinePrecision] + 11.1667541262), $MachinePrecision] * z), $MachinePrecision] + t), $MachinePrecision] * z), $MachinePrecision] + a), $MachinePrecision] * z), $MachinePrecision] + b), $MachinePrecision]), $MachinePrecision] / N[(N[(N[(N[(N[(N[(N[(z + 15.234687407), $MachinePrecision] * z), $MachinePrecision] + 31.4690115749), $MachinePrecision] * z), $MachinePrecision] + 11.9400905721), $MachinePrecision] * z), $MachinePrecision] + 0.607771387771), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]

↓

code[x_, y_, z_, t_, a_, b_] := If[LessEqual[N[(N[(y * N[(N[(z * N[(N[(z * N[(N[(z * N[(N[(z * 3.13060547623), $MachinePrecision] + 11.1667541262), $MachinePrecision]), $MachinePrecision] + t), $MachinePrecision]), $MachinePrecision] + a), $MachinePrecision]), $MachinePrecision] + b), $MachinePrecision]), $MachinePrecision] / N[(0.607771387771 + N[(z * N[(11.9400905721 + N[(z * N[(31.4690115749 + N[(z * N[(z + 15.234687407), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], 2e+273], N[(y * N[(N[(z * N[(z * N[(z * N[(z * 3.13060547623 + 11.1667541262), $MachinePrecision] + t), $MachinePrecision] + a), $MachinePrecision] + b), $MachinePrecision] / N[(z * N[(z * N[(z * N[(z + 15.234687407), $MachinePrecision] + 31.4690115749), $MachinePrecision] + 11.9400905721), $MachinePrecision] + 0.607771387771), $MachinePrecision]), $MachinePrecision] + x), $MachinePrecision], N[(-36.52704169880642 * N[(y / z), $MachinePrecision] + N[(N[(N[(y / N[(z * z), $MachinePrecision]), $MachinePrecision] * N[(N[(t + 457.9610022158428), $MachinePrecision] + N[(N[(a + N[(-5864.8025282699045 + N[(t * -15.234687407), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(3.13060547623 * y + x), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]

Target

Original	28.9
Target	1.2
Herbie	1.7

\[\begin{array}{l} \mathbf{if}\;z < -6.499344996252632 \cdot 10^{+53}:\\ \;\;\;\;x + \left(\left(3.13060547623 - \frac{36.527041698806414}{z}\right) + \frac{t}{z \cdot z}\right) \cdot \frac{y}{1}\\ \mathbf{elif}\;z < 7.066965436914287 \cdot 10^{+59}:\\ \;\;\;\;x + \frac{y}{\frac{\left(\left(\left(z + 15.234687407\right) \cdot z + 31.4690115749\right) \cdot z + 11.9400905721\right) \cdot z + 0.607771387771}{\left(\left(\left(z \cdot 3.13060547623 + 11.1667541262\right) \cdot z + t\right) \cdot z + a\right) \cdot z + b}}\\ \mathbf{else}:\\ \;\;\;\;x + \left(\left(3.13060547623 - \frac{36.527041698806414}{z}\right) + \frac{t}{z \cdot z}\right) \cdot \frac{y}{1}\\ \end{array} \]

Derivation

1. Split input into 2 regimes

2. if (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000)) < 1.99999999999999989e273

   1. Initial program 2.9

      \[x + \frac{y \cdot \left(\left(\left(\left(z \cdot 3.13060547623 + 11.1667541262\right) \cdot z + t\right) \cdot z + a\right) \cdot z + b\right)}{\left(\left(\left(z + 15.234687407\right) \cdot z + 31.4690115749\right) \cdot z + 11.9400905721\right) \cdot z + 0.607771387771} \]

   2. Simplified 1.4

      \[\leadsto \color{blue}{\mathsf{fma}\left(y, \frac{\mathsf{fma}\left(z, \mathsf{fma}\left(z, \mathsf{fma}\left(z, \mathsf{fma}\left(z, 3.13060547623, 11.1667541262\right), t\right), a\right), b\right)}{\mathsf{fma}\left(z, \mathsf{fma}\left(z, \mathsf{fma}\left(z, z + 15.234687407, 31.4690115749\right), 11.9400905721\right), 0.607771387771\right)}, x\right)} \]
      Proof
      (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x): 0 points increase in error, 0 points decrease in error
      (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (Rewrite<= fma-def_binary64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000)) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x): 0 points increase in error, 0 points decrease in error
      (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (Rewrite<= fma-def_binary64 (+.f64 (*.f64 z (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000)) t)) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x): 0 points increase in error, 0 points decrease in error
      (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (+.f64 (Rewrite<= *-commutative_binary64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z)) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x): 0 points increase in error, 0 points decrease in error
      (fma.f64 y (/.f64 (fma.f64 z (Rewrite<= fma-def_binary64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t)) a)) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x): 0 points increase in error, 0 points decrease in error
      (fma.f64 y (/.f64 (fma.f64 z (+.f64 (Rewrite<= *-commutative_binary64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z)) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x): 0 points increase in error, 0 points decrease in error
      (fma.f64 y (/.f64 (Rewrite<= fma-def_binary64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a)) b)) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x): 0 points increase in error, 0 points decrease in error
      (fma.f64 y (/.f64 (+.f64 (Rewrite<= *-commutative_binary64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z)) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x): 0 points increase in error, 0 points decrease in error
      (fma.f64 y (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b) (fma.f64 z (fma.f64 z (Rewrite<= fma-def_binary64 (+.f64 (*.f64 z (+.f64 z 15234687407/1000000000)) 314690115749/10000000000)) 119400905721/10000000000) 607771387771/1000000000000)) x): 0 points increase in error, 1 points decrease in error
      (fma.f64 y (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b) (fma.f64 z (fma.f64 z (+.f64 (Rewrite<= *-commutative_binary64 (*.f64 (+.f64 z 15234687407/1000000000) z)) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x): 0 points increase in error, 0 points decrease in error
      (fma.f64 y (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b) (fma.f64 z (Rewrite<= fma-def_binary64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000)) 119400905721/10000000000)) 607771387771/1000000000000)) x): 1 points increase in error, 0 points decrease in error
      (fma.f64 y (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b) (fma.f64 z (+.f64 (Rewrite<= *-commutative_binary64 (*.f64 (+.f64 (*.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z)) 119400905721/10000000000) 607771387771/1000000000000)) x): 0 points increase in error, 0 points decrease in error
      (fma.f64 y (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b) (Rewrite<= fma-def_binary64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000)) 607771387771/1000000000000))) x): 0 points increase in error, 1 points decrease in error
      (fma.f64 y (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b) (+.f64 (Rewrite<= *-commutative_binary64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z)) 607771387771/1000000000000)) x): 0 points increase in error, 0 points decrease in error
      (Rewrite<= fma-def_binary64 (+.f64 (*.f64 y (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000))) x)): 0 points increase in error, 1 points decrease in error
      (+.f64 (Rewrite=> associate-*r/_binary64 (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000))) x): 17 points increase in error, 10 points decrease in error
      (Rewrite<= +-commutative_binary64 (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000)))): 0 points increase in error, 0 points decrease in error

   if 1.99999999999999989e273 < (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000))

   1. Initial program 62.5

      \[x + \frac{y \cdot \left(\left(\left(\left(z \cdot 3.13060547623 + 11.1667541262\right) \cdot z + t\right) \cdot z + a\right) \cdot z + b\right)}{\left(\left(\left(z + 15.234687407\right) \cdot z + 31.4690115749\right) \cdot z + 11.9400905721\right) \cdot z + 0.607771387771} \]

   2. Simplified 60.7

      \[\leadsto \color{blue}{\mathsf{fma}\left(y, \frac{\mathsf{fma}\left(z, \mathsf{fma}\left(z, \mathsf{fma}\left(z, \mathsf{fma}\left(z, 3.13060547623, 11.1667541262\right), t\right), a\right), b\right)}{\mathsf{fma}\left(z, \mathsf{fma}\left(z, \mathsf{fma}\left(z, z + 15.234687407, 31.4690115749\right), 11.9400905721\right), 0.607771387771\right)}, x\right)} \]
      Proof
      (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x): 0 points increase in error, 0 points decrease in error
      (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (Rewrite<= fma-def_binary64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000)) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x): 0 points increase in error, 0 points decrease in error
      (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (Rewrite<= fma-def_binary64 (+.f64 (*.f64 z (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000)) t)) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x): 0 points increase in error, 0 points decrease in error
      (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (+.f64 (Rewrite<= *-commutative_binary64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z)) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x): 0 points increase in error, 0 points decrease in error
      (fma.f64 y (/.f64 (fma.f64 z (Rewrite<= fma-def_binary64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t)) a)) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x): 0 points increase in error, 0 points decrease in error
      (fma.f64 y (/.f64 (fma.f64 z (+.f64 (Rewrite<= *-commutative_binary64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z)) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x): 0 points increase in error, 0 points decrease in error
      (fma.f64 y (/.f64 (Rewrite<= fma-def_binary64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a)) b)) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x): 0 points increase in error, 0 points decrease in error
      (fma.f64 y (/.f64 (+.f64 (Rewrite<= *-commutative_binary64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z)) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x): 0 points increase in error, 0 points decrease in error
      (fma.f64 y (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b) (fma.f64 z (fma.f64 z (Rewrite<= fma-def_binary64 (+.f64 (*.f64 z (+.f64 z 15234687407/1000000000)) 314690115749/10000000000)) 119400905721/10000000000) 607771387771/1000000000000)) x): 0 points increase in error, 1 points decrease in error
      (fma.f64 y (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b) (fma.f64 z (fma.f64 z (+.f64 (Rewrite<= *-commutative_binary64 (*.f64 (+.f64 z 15234687407/1000000000) z)) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x): 0 points increase in error, 0 points decrease in error
      (fma.f64 y (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b) (fma.f64 z (Rewrite<= fma-def_binary64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000)) 119400905721/10000000000)) 607771387771/1000000000000)) x): 1 points increase in error, 0 points decrease in error
      (fma.f64 y (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b) (fma.f64 z (+.f64 (Rewrite<= *-commutative_binary64 (*.f64 (+.f64 (*.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z)) 119400905721/10000000000) 607771387771/1000000000000)) x): 0 points increase in error, 0 points decrease in error
      (fma.f64 y (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b) (Rewrite<= fma-def_binary64 (+.f64 (*.f64 z (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000)) 607771387771/1000000000000))) x): 0 points increase in error, 1 points decrease in error
      (fma.f64 y (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b) (+.f64 (Rewrite<= *-commutative_binary64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z)) 607771387771/1000000000000)) x): 0 points increase in error, 0 points decrease in error
      (Rewrite<= fma-def_binary64 (+.f64 (*.f64 y (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000))) x)): 0 points increase in error, 1 points decrease in error
      (+.f64 (Rewrite=> associate-*r/_binary64 (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000))) x): 17 points increase in error, 10 points decrease in error
      (Rewrite<= +-commutative_binary64 (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000)))): 0 points increase in error, 0 points decrease in error

   3. Taylor expanded in z around inf 14.6

      \[\leadsto \color{blue}{-36.52704169880642 \cdot \frac{y}{z} + \left(\frac{y \cdot \left(\left(1112.0901850848957 + a\right) - 15.234687407 \cdot \left(457.9610022158428 + t\right)\right)}{{z}^{3}} + \left(3.13060547623 \cdot y + \left(\frac{y \cdot \left(457.9610022158428 + t\right)}{{z}^{2}} + x\right)\right)\right)} \]

   4. Simplified 2.2

      \[\leadsto \color{blue}{\mathsf{fma}\left(-36.52704169880642, \frac{y}{z}, \frac{y}{z \cdot z} \cdot \left(\left(t + 457.9610022158428\right) - \frac{\left(-a\right) - \left(-5864.8025282699045 + t \cdot -15.234687407\right)}{z}\right) + \mathsf{fma}\left(3.13060547623, y, x\right)\right)} \]
      Proof
      (fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (+.f64 (*.f64 (/.f64 y (*.f64 z z)) (-.f64 (+.f64 t 45796100221584283915100827016327/100000000000000000000000000000) (/.f64 (-.f64 (neg.f64 a) (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) z))) (fma.f64 313060547623/100000000000 y x))): 0 points increase in error, 0 points decrease in error
      (fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (+.f64 (*.f64 (/.f64 y (Rewrite<= unpow2_binary64 (pow.f64 z 2))) (-.f64 (+.f64 t 45796100221584283915100827016327/100000000000000000000000000000) (/.f64 (-.f64 (neg.f64 a) (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) z))) (fma.f64 313060547623/100000000000 y x))): 0 points increase in error, 0 points decrease in error
      (fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (+.f64 (*.f64 (/.f64 y (pow.f64 z 2)) (-.f64 (Rewrite<= +-commutative_binary64 (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)) (/.f64 (-.f64 (neg.f64 a) (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) z))) (fma.f64 313060547623/100000000000 y x))): 0 points increase in error, 0 points decrease in error
      (fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (+.f64 (*.f64 (/.f64 y (pow.f64 z 2)) (-.f64 (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t) (/.f64 (-.f64 (Rewrite=> neg-mul-1_binary64 (*.f64 -1 a)) (+.f64 -586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000))) z))) (fma.f64 313060547623/100000000000 y x))): 0 points increase in error, 0 points decrease in error
      (fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (+.f64 (*.f64 (/.f64 y (pow.f64 z 2)) (-.f64 (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t) (/.f64 (-.f64 (*.f64 -1 a) (+.f64 (Rewrite<= metadata-eval (+.f64 1112090185084895700201045470302189/1000000000000000000000000000000 -697689271335479999750499226480922330294089/100000000000000000000000000000000000000)) (*.f64 t -15234687407/1000000000))) z))) (fma.f64 313060547623/100000000000 y x))): 0 points increase in error, 0 points decrease in error
      (fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (+.f64 (*.f64 (/.f64 y (pow.f64 z 2)) (-.f64 (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t) (/.f64 (-.f64 (*.f64 -1 a) (+.f64 (+.f64 1112090185084895700201045470302189/1000000000000000000000000000000 (Rewrite<= metadata-eval (*.f64 45796100221584283915100827016327/100000000000000000000000000000 -15234687407/1000000000))) (*.f64 t -15234687407/1000000000))) z))) (fma.f64 313060547623/100000000000 y x))): 0 points increase in error, 2 points decrease in error
      (fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (+.f64 (*.f64 (/.f64 y (pow.f64 z 2)) (-.f64 (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t) (/.f64 (-.f64 (*.f64 -1 a) (Rewrite<= associate-+r+_binary64 (+.f64 1112090185084895700201045470302189/1000000000000000000000000000000 (+.f64 (*.f64 45796100221584283915100827016327/100000000000000000000000000000 -15234687407/1000000000) (*.f64 t -15234687407/1000000000))))) z))) (fma.f64 313060547623/100000000000 y x))): 0 points increase in error, 0 points decrease in error
      (fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (+.f64 (*.f64 (/.f64 y (pow.f64 z 2)) (-.f64 (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t) (/.f64 (-.f64 (*.f64 -1 a) (+.f64 1112090185084895700201045470302189/1000000000000000000000000000000 (Rewrite<= distribute-rgt-in_binary64 (*.f64 -15234687407/1000000000 (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t))))) z))) (fma.f64 313060547623/100000000000 y x))): 0 points increase in error, 0 points decrease in error
      (fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (+.f64 (Rewrite<= distribute-lft-out--_binary64 (-.f64 (*.f64 (/.f64 y (pow.f64 z 2)) (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)) (*.f64 (/.f64 y (pow.f64 z 2)) (/.f64 (-.f64 (*.f64 -1 a) (+.f64 1112090185084895700201045470302189/1000000000000000000000000000000 (*.f64 -15234687407/1000000000 (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)))) z)))) (fma.f64 313060547623/100000000000 y x))): 0 points increase in error, 0 points decrease in error
      (fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (+.f64 (-.f64 (Rewrite<= associate-/r/_binary64 (/.f64 y (/.f64 (pow.f64 z 2) (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)))) (*.f64 (/.f64 y (pow.f64 z 2)) (/.f64 (-.f64 (*.f64 -1 a) (+.f64 1112090185084895700201045470302189/1000000000000000000000000000000 (*.f64 -15234687407/1000000000 (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)))) z))) (fma.f64 313060547623/100000000000 y x))): 2 points increase in error, 0 points decrease in error
      (fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (+.f64 (-.f64 (Rewrite<= associate-/l*_binary64 (/.f64 (*.f64 y (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)) (pow.f64 z 2))) (*.f64 (/.f64 y (pow.f64 z 2)) (/.f64 (-.f64 (*.f64 -1 a) (+.f64 1112090185084895700201045470302189/1000000000000000000000000000000 (*.f64 -15234687407/1000000000 (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)))) z))) (fma.f64 313060547623/100000000000 y x))): 14 points increase in error, 1 points decrease in error
      (fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (+.f64 (-.f64 (/.f64 (*.f64 y (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)) (pow.f64 z 2)) (Rewrite<= times-frac_binary64 (/.f64 (*.f64 y (-.f64 (*.f64 -1 a) (+.f64 1112090185084895700201045470302189/1000000000000000000000000000000 (*.f64 -15234687407/1000000000 (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t))))) (*.f64 (pow.f64 z 2) z)))) (fma.f64 313060547623/100000000000 y x))): 18 points increase in error, 7 points decrease in error
      (fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (+.f64 (-.f64 (/.f64 (*.f64 y (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)) (pow.f64 z 2)) (/.f64 (Rewrite<= *-commutative_binary64 (*.f64 (-.f64 (*.f64 -1 a) (+.f64 1112090185084895700201045470302189/1000000000000000000000000000000 (*.f64 -15234687407/1000000000 (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)))) y)) (*.f64 (pow.f64 z 2) z))) (fma.f64 313060547623/100000000000 y x))): 0 points increase in error, 0 points decrease in error
      (fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (+.f64 (-.f64 (/.f64 (*.f64 y (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)) (pow.f64 z 2)) (/.f64 (*.f64 (-.f64 (*.f64 -1 a) (+.f64 1112090185084895700201045470302189/1000000000000000000000000000000 (*.f64 -15234687407/1000000000 (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)))) y) (*.f64 (Rewrite=> unpow2_binary64 (*.f64 z z)) z))) (fma.f64 313060547623/100000000000 y x))): 0 points increase in error, 0 points decrease in error
      (fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (+.f64 (-.f64 (/.f64 (*.f64 y (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)) (pow.f64 z 2)) (/.f64 (*.f64 (-.f64 (*.f64 -1 a) (+.f64 1112090185084895700201045470302189/1000000000000000000000000000000 (*.f64 -15234687407/1000000000 (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)))) y) (Rewrite<= unpow3_binary64 (pow.f64 z 3)))) (fma.f64 313060547623/100000000000 y x))): 4 points increase in error, 2 points decrease in error
      (fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (+.f64 (Rewrite<= unsub-neg_binary64 (+.f64 (/.f64 (*.f64 y (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)) (pow.f64 z 2)) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 a) (+.f64 1112090185084895700201045470302189/1000000000000000000000000000000 (*.f64 -15234687407/1000000000 (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)))) y) (pow.f64 z 3))))) (fma.f64 313060547623/100000000000 y x))): 0 points increase in error, 0 points decrease in error
      (fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (+.f64 (+.f64 (/.f64 (*.f64 y (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)) (pow.f64 z 2)) (Rewrite<= mul-1-neg_binary64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 a) (+.f64 1112090185084895700201045470302189/1000000000000000000000000000000 (*.f64 -15234687407/1000000000 (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)))) y) (pow.f64 z 3))))) (fma.f64 313060547623/100000000000 y x))): 0 points increase in error, 0 points decrease in error
      (fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (+.f64 (+.f64 (/.f64 (*.f64 y (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)) (pow.f64 z 2)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 a) (+.f64 1112090185084895700201045470302189/1000000000000000000000000000000 (*.f64 -15234687407/1000000000 (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)))) y) (pow.f64 z 3)))) (Rewrite<= fma-def_binary64 (+.f64 (*.f64 313060547623/100000000000 y) x)))): 0 points increase in error, 0 points decrease in error
      (fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (+.f64 (+.f64 (/.f64 (*.f64 y (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)) (pow.f64 z 2)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 a) (+.f64 1112090185084895700201045470302189/1000000000000000000000000000000 (*.f64 -15234687407/1000000000 (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)))) y) (pow.f64 z 3)))) (Rewrite=> +-commutative_binary64 (+.f64 x (*.f64 313060547623/100000000000 y))))): 0 points increase in error, 0 points decrease in error
      (fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (Rewrite<= associate-+l+_binary64 (+.f64 (+.f64 (+.f64 (/.f64 (*.f64 y (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)) (pow.f64 z 2)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 a) (+.f64 1112090185084895700201045470302189/1000000000000000000000000000000 (*.f64 -15234687407/1000000000 (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)))) y) (pow.f64 z 3)))) x) (*.f64 313060547623/100000000000 y)))): 0 points increase in error, 0 points decrease in error
      (fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (+.f64 (Rewrite<= associate-+r+_binary64 (+.f64 (/.f64 (*.f64 y (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)) (pow.f64 z 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 a) (+.f64 1112090185084895700201045470302189/1000000000000000000000000000000 (*.f64 -15234687407/1000000000 (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)))) y) (pow.f64 z 3))) x))) (*.f64 313060547623/100000000000 y))): 0 points increase in error, 0 points decrease in error
      (fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (+.f64 (Rewrite=> +-commutative_binary64 (+.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 a) (+.f64 1112090185084895700201045470302189/1000000000000000000000000000000 (*.f64 -15234687407/1000000000 (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)))) y) (pow.f64 z 3))) x) (/.f64 (*.f64 y (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)) (pow.f64 z 2)))) (*.f64 313060547623/100000000000 y))): 0 points increase in error, 0 points decrease in error
      (fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (+.f64 (Rewrite=> associate-+l+_binary64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 a) (+.f64 1112090185084895700201045470302189/1000000000000000000000000000000 (*.f64 -15234687407/1000000000 (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)))) y) (pow.f64 z 3))) (+.f64 x (/.f64 (*.f64 y (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)) (pow.f64 z 2))))) (*.f64 313060547623/100000000000 y))): 0 points increase in error, 0 points decrease in error
      (fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (+.f64 (+.f64 (Rewrite=> mul-1-neg_binary64 (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 a) (+.f64 1112090185084895700201045470302189/1000000000000000000000000000000 (*.f64 -15234687407/1000000000 (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)))) y) (pow.f64 z 3)))) (+.f64 x (/.f64 (*.f64 y (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)) (pow.f64 z 2)))) (*.f64 313060547623/100000000000 y))): 0 points increase in error, 0 points decrease in error
      (fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (+.f64 (+.f64 (Rewrite=> distribute-neg-frac_binary64 (/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 -1 a) (+.f64 1112090185084895700201045470302189/1000000000000000000000000000000 (*.f64 -15234687407/1000000000 (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)))) y)) (pow.f64 z 3))) (+.f64 x (/.f64 (*.f64 y (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)) (pow.f64 z 2)))) (*.f64 313060547623/100000000000 y))): 0 points increase in error, 0 points decrease in error
      (fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (+.f64 (+.f64 (/.f64 (Rewrite<= distribute-lft-neg-out_binary64 (*.f64 (neg.f64 (-.f64 (*.f64 -1 a) (+.f64 1112090185084895700201045470302189/1000000000000000000000000000000 (*.f64 -15234687407/1000000000 (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t))))) y)) (pow.f64 z 3)) (+.f64 x (/.f64 (*.f64 y (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)) (pow.f64 z 2)))) (*.f64 313060547623/100000000000 y))): 0 points increase in error, 0 points decrease in error
      (fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (+.f64 (+.f64 (/.f64 (*.f64 (neg.f64 (-.f64 (Rewrite<= neg-mul-1_binary64 (neg.f64 a)) (+.f64 1112090185084895700201045470302189/1000000000000000000000000000000 (*.f64 -15234687407/1000000000 (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t))))) y) (pow.f64 z 3)) (+.f64 x (/.f64 (*.f64 y (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)) (pow.f64 z 2)))) (*.f64 313060547623/100000000000 y))): 0 points increase in error, 0 points decrease in error
      (fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (+.f64 (+.f64 (/.f64 (*.f64 (neg.f64 (Rewrite=> sub-neg_binary64 (+.f64 (neg.f64 a) (neg.f64 (+.f64 1112090185084895700201045470302189/1000000000000000000000000000000 (*.f64 -15234687407/1000000000 (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t))))))) y) (pow.f64 z 3)) (+.f64 x (/.f64 (*.f64 y (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)) (pow.f64 z 2)))) (*.f64 313060547623/100000000000 y))): 0 points increase in error, 0 points decrease in error
      (fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (+.f64 (+.f64 (/.f64 (*.f64 (neg.f64 (Rewrite=> distribute-neg-out_binary64 (neg.f64 (+.f64 a (+.f64 1112090185084895700201045470302189/1000000000000000000000000000000 (*.f64 -15234687407/1000000000 (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t))))))) y) (pow.f64 z 3)) (+.f64 x (/.f64 (*.f64 y (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)) (pow.f64 z 2)))) (*.f64 313060547623/100000000000 y))): 0 points increase in error, 0 points decrease in error
      (fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (+.f64 (+.f64 (/.f64 (*.f64 (neg.f64 (neg.f64 (Rewrite<= associate-+l+_binary64 (+.f64 (+.f64 a 1112090185084895700201045470302189/1000000000000000000000000000000) (*.f64 -15234687407/1000000000 (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)))))) y) (pow.f64 z 3)) (+.f64 x (/.f64 (*.f64 y (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)) (pow.f64 z 2)))) (*.f64 313060547623/100000000000 y))): 0 points increase in error, 0 points decrease in error
      (fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (+.f64 (+.f64 (/.f64 (*.f64 (neg.f64 (neg.f64 (+.f64 (Rewrite<= +-commutative_binary64 (+.f64 1112090185084895700201045470302189/1000000000000000000000000000000 a)) (*.f64 -15234687407/1000000000 (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t))))) y) (pow.f64 z 3)) (+.f64 x (/.f64 (*.f64 y (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)) (pow.f64 z 2)))) (*.f64 313060547623/100000000000 y))): 0 points increase in error, 0 points decrease in error
      (fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (+.f64 (+.f64 (/.f64 (*.f64 (neg.f64 (neg.f64 (+.f64 (+.f64 1112090185084895700201045470302189/1000000000000000000000000000000 a) (*.f64 (Rewrite<= metadata-eval (neg.f64 15234687407/1000000000)) (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t))))) y) (pow.f64 z 3)) (+.f64 x (/.f64 (*.f64 y (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)) (pow.f64 z 2)))) (*.f64 313060547623/100000000000 y))): 0 points increase in error, 0 points decrease in error
      (fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (+.f64 (+.f64 (/.f64 (*.f64 (neg.f64 (neg.f64 (Rewrite<= cancel-sign-sub-inv_binary64 (-.f64 (+.f64 1112090185084895700201045470302189/1000000000000000000000000000000 a) (*.f64 15234687407/1000000000 (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)))))) y) (pow.f64 z 3)) (+.f64 x (/.f64 (*.f64 y (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)) (pow.f64 z 2)))) (*.f64 313060547623/100000000000 y))): 0 points increase in error, 0 points decrease in error
      (fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (+.f64 (+.f64 (/.f64 (*.f64 (Rewrite=> remove-double-neg_binary64 (-.f64 (+.f64 1112090185084895700201045470302189/1000000000000000000000000000000 a) (*.f64 15234687407/1000000000 (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)))) y) (pow.f64 z 3)) (+.f64 x (/.f64 (*.f64 y (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)) (pow.f64 z 2)))) (*.f64 313060547623/100000000000 y))): 0 points increase in error, 0 points decrease in error
      (fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (+.f64 (+.f64 (/.f64 (Rewrite<= *-commutative_binary64 (*.f64 y (-.f64 (+.f64 1112090185084895700201045470302189/1000000000000000000000000000000 a) (*.f64 15234687407/1000000000 (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t))))) (pow.f64 z 3)) (+.f64 x (/.f64 (*.f64 y (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)) (pow.f64 z 2)))) (*.f64 313060547623/100000000000 y))): 0 points increase in error, 0 points decrease in error
      (fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (+.f64 (+.f64 (/.f64 (*.f64 y (-.f64 (+.f64 1112090185084895700201045470302189/1000000000000000000000000000000 a) (*.f64 15234687407/1000000000 (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)))) (pow.f64 z 3)) (Rewrite<= +-commutative_binary64 (+.f64 (/.f64 (*.f64 y (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)) (pow.f64 z 2)) x))) (*.f64 313060547623/100000000000 y))): 0 points increase in error, 0 points decrease in error
      (fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (Rewrite<= associate-+r+_binary64 (+.f64 (/.f64 (*.f64 y (-.f64 (+.f64 1112090185084895700201045470302189/1000000000000000000000000000000 a) (*.f64 15234687407/1000000000 (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)))) (pow.f64 z 3)) (+.f64 (+.f64 (/.f64 (*.f64 y (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)) (pow.f64 z 2)) x) (*.f64 313060547623/100000000000 y))))): 0 points increase in error, 0 points decrease in error
      (fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (+.f64 (/.f64 (*.f64 y (-.f64 (+.f64 1112090185084895700201045470302189/1000000000000000000000000000000 a) (*.f64 15234687407/1000000000 (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)))) (pow.f64 z 3)) (Rewrite<= +-commutative_binary64 (+.f64 (*.f64 313060547623/100000000000 y) (+.f64 (/.f64 (*.f64 y (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)) (pow.f64 z 2)) x))))): 0 points increase in error, 0 points decrease in error
      (Rewrite<= fma-def_binary64 (+.f64 (*.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z)) (+.f64 (/.f64 (*.f64 y (-.f64 (+.f64 1112090185084895700201045470302189/1000000000000000000000000000000 a) (*.f64 15234687407/1000000000 (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)))) (pow.f64 z 3)) (+.f64 (*.f64 313060547623/100000000000 y) (+.f64 (/.f64 (*.f64 y (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)) (pow.f64 z 2)) x))))): 0 points increase in error, 0 points decrease in error
3. Recombined 2 regimes into one program.

4. Final simplification 1.7

   \[\leadsto \begin{array}{l} \mathbf{if}\;\frac{y \cdot \left(z \cdot \left(z \cdot \left(z \cdot \left(z \cdot 3.13060547623 + 11.1667541262\right) + t\right) + a\right) + b\right)}{0.607771387771 + z \cdot \left(11.9400905721 + z \cdot \left(31.4690115749 + z \cdot \left(z + 15.234687407\right)\right)\right)} \leq 2 \cdot 10^{+273}:\\ \;\;\;\;\mathsf{fma}\left(y, \frac{\mathsf{fma}\left(z, \mathsf{fma}\left(z, \mathsf{fma}\left(z, \mathsf{fma}\left(z, 3.13060547623, 11.1667541262\right), t\right), a\right), b\right)}{\mathsf{fma}\left(z, \mathsf{fma}\left(z, \mathsf{fma}\left(z, z + 15.234687407, 31.4690115749\right), 11.9400905721\right), 0.607771387771\right)}, x\right)\\ \mathbf{else}:\\ \;\;\;\;\mathsf{fma}\left(-36.52704169880642, \frac{y}{z}, \frac{y}{z \cdot z} \cdot \left(\left(t + 457.9610022158428\right) + \frac{a + \left(-5864.8025282699045 + t \cdot -15.234687407\right)}{z}\right) + \mathsf{fma}\left(3.13060547623, y, x\right)\right)\\ \end{array} \]

Alternatives

Alternative 1
Error	1.7
Cost	48580

\[\begin{array}{l} \mathbf{if}\;\frac{y \cdot \left(z \cdot \left(z \cdot \left(z \cdot \left(z \cdot 3.13060547623 + 11.1667541262\right) + t\right) + a\right) + b\right)}{0.607771387771 + z \cdot \left(11.9400905721 + z \cdot \left(31.4690115749 + z \cdot \left(z + 15.234687407\right)\right)\right)} \leq 2 \cdot 10^{+273}:\\ \;\;\;\;x + \frac{y}{\frac{\mathsf{fma}\left(\mathsf{fma}\left(\mathsf{fma}\left(z + 15.234687407, z, 31.4690115749\right), z, 11.9400905721\right), z, 0.607771387771\right)}{\mathsf{fma}\left(\mathsf{fma}\left(\mathsf{fma}\left(\mathsf{fma}\left(z, 3.13060547623, 11.1667541262\right), z, t\right), z, a\right), z, b\right)}}\\ \mathbf{else}:\\ \;\;\;\;\mathsf{fma}\left(-36.52704169880642, \frac{y}{z}, \frac{y}{z \cdot z} \cdot \left(\left(t + 457.9610022158428\right) + \frac{a + \left(-5864.8025282699045 + t \cdot -15.234687407\right)}{z}\right) + \mathsf{fma}\left(3.13060547623, y, x\right)\right)\\ \end{array} \]

Alternative 2
Error	2.8
Cost	16836

\[\begin{array}{l} t_1 := 0.607771387771 + z \cdot \left(11.9400905721 + z \cdot \left(31.4690115749 + z \cdot \left(z + 15.234687407\right)\right)\right)\\ \mathbf{if}\;\frac{y \cdot \left(z \cdot \left(z \cdot \left(z \cdot \left(z \cdot 3.13060547623 + 11.1667541262\right) + t\right) + a\right) + b\right)}{t_1} \leq 2 \cdot 10^{+273}:\\ \;\;\;\;x + \frac{y \cdot \left(b + z \cdot \left(a + z \cdot \left(t + 3.13060547623 \cdot \left(z \cdot z\right)\right)\right)\right)}{t_1}\\ \mathbf{else}:\\ \;\;\;\;\mathsf{fma}\left(-36.52704169880642, \frac{y}{z}, \frac{y}{z \cdot z} \cdot \left(\left(t + 457.9610022158428\right) + \frac{a + \left(-5864.8025282699045 + t \cdot -15.234687407\right)}{z}\right) + \mathsf{fma}\left(3.13060547623, y, x\right)\right)\\ \end{array} \]

Alternative 3
Error	3.0
Cost	9924

\[\begin{array}{l} t_1 := 0.607771387771 + z \cdot \left(11.9400905721 + z \cdot \left(31.4690115749 + z \cdot \left(z + 15.234687407\right)\right)\right)\\ \mathbf{if}\;\frac{y \cdot \left(z \cdot \left(z \cdot \left(z \cdot \left(z \cdot 3.13060547623 + 11.1667541262\right) + t\right) + a\right) + b\right)}{t_1} \leq 2 \cdot 10^{+273}:\\ \;\;\;\;x + \frac{y \cdot \left(b + z \cdot \left(a + z \cdot \left(t + 3.13060547623 \cdot \left(z \cdot z\right)\right)\right)\right)}{t_1}\\ \mathbf{else}:\\ \;\;\;\;\mathsf{fma}\left(y, \left(\left(3.13060547623 + \frac{457.9610022158428}{z \cdot z}\right) + \frac{t}{z \cdot z}\right) + \frac{-36.52704169880642}{z}, x\right)\\ \end{array} \]

Alternative 4
Error	4.0
Cost	2508

\[\begin{array}{l} \mathbf{if}\;z \leq -0.58:\\ \;\;\;\;x + y \cdot 3.13060547623\\ \mathbf{elif}\;z \leq 1.7 \cdot 10^{-53}:\\ \;\;\;\;x + \frac{y \cdot \left(b + z \cdot \left(a + z \cdot \left(t + 3.13060547623 \cdot \left(z \cdot z\right)\right)\right)\right)}{0.607771387771 + z \cdot 11.9400905721}\\ \mathbf{elif}\;z \leq 3.6 \cdot 10^{+58}:\\ \;\;\;\;x + \frac{y}{\frac{0.607771387771 + z \cdot \left(11.9400905721 + z \cdot \left(31.4690115749 + z \cdot \left(z + 15.234687407\right)\right)\right)}{z \cdot \left(a + z \cdot \left(t + z \cdot \left(z \cdot 3.13060547623\right)\right)\right)}}\\ \mathbf{else}:\\ \;\;\;\;x + \frac{y}{\frac{3.7269864963038164}{z} + \left(0.31942702700572795 + \frac{\frac{t}{z} \cdot -0.10203362558171805}{z}\right)}\\ \end{array} \]

Alternative 5
Error	4.0
Cost	2508

\[\begin{array}{l} t_1 := z \cdot \left(a + z \cdot \left(t + 3.13060547623 \cdot \left(z \cdot z\right)\right)\right)\\ \mathbf{if}\;z \leq -0.58:\\ \;\;\;\;x + y \cdot 3.13060547623\\ \mathbf{elif}\;z \leq 1.7 \cdot 10^{-53}:\\ \;\;\;\;x + \frac{y \cdot \left(b + t_1\right)}{0.607771387771 + z \cdot 11.9400905721}\\ \mathbf{elif}\;z \leq 1.45 \cdot 10^{+58}:\\ \;\;\;\;x + \frac{y}{\frac{0.607771387771 + z \cdot \left(11.9400905721 + z \cdot \left(31.4690115749 + z \cdot \left(z + 15.234687407\right)\right)\right)}{t_1}}\\ \mathbf{else}:\\ \;\;\;\;x + \frac{y}{\frac{3.7269864963038164}{z} + \left(0.31942702700572795 + \frac{\frac{t}{z} \cdot -0.10203362558171805}{z}\right)}\\ \end{array} \]

Alternative 6
Error	3.2
Cost	2504

\[\begin{array}{l} \mathbf{if}\;z \leq -6.6 \cdot 10^{+54}:\\ \;\;\;\;x + y \cdot 3.13060547623\\ \mathbf{elif}\;z \leq 2.15 \cdot 10^{+24}:\\ \;\;\;\;x + \frac{y \cdot \left(b + z \cdot \left(a + z \cdot \left(t + 3.13060547623 \cdot \left(z \cdot z\right)\right)\right)\right)}{0.607771387771 + z \cdot \left(11.9400905721 + z \cdot \left(31.4690115749 + z \cdot \left(z + 15.234687407\right)\right)\right)}\\ \mathbf{else}:\\ \;\;\;\;x + \frac{y}{\frac{3.7269864963038164}{z} + \left(0.31942702700572795 + \frac{\frac{t}{z} \cdot -0.10203362558171805}{z}\right)}\\ \end{array} \]

Alternative 7
Error	3.5
Cost	2376

\[\begin{array}{l} \mathbf{if}\;z \leq -3.55 \cdot 10^{+53}:\\ \;\;\;\;x + y \cdot 3.13060547623\\ \mathbf{elif}\;z \leq 2.15 \cdot 10^{+24}:\\ \;\;\;\;x + \frac{y \cdot \left(b + z \cdot \left(a + z \cdot \left(t + 3.13060547623 \cdot \left(z \cdot z\right)\right)\right)\right)}{0.607771387771 + z \cdot \left(11.9400905721 + z \cdot \left(z \cdot \left(z + 15.234687407\right)\right)\right)}\\ \mathbf{else}:\\ \;\;\;\;x + \frac{y}{\frac{3.7269864963038164}{z} + \left(0.31942702700572795 + \frac{\frac{t}{z} \cdot -0.10203362558171805}{z}\right)}\\ \end{array} \]

Alternative 8
Error	4.2
Cost	1864

\[\begin{array}{l} \mathbf{if}\;z \leq -0.96:\\ \;\;\;\;x + y \cdot 3.13060547623\\ \mathbf{elif}\;z \leq 51000000000:\\ \;\;\;\;x + \frac{y \cdot \left(b + z \cdot \left(a + z \cdot \left(t + 3.13060547623 \cdot \left(z \cdot z\right)\right)\right)\right)}{0.607771387771 + z \cdot 11.9400905721}\\ \mathbf{else}:\\ \;\;\;\;x + \frac{y}{\frac{3.7269864963038164}{z} + \left(0.31942702700572795 + \frac{\frac{t}{z} \cdot -0.10203362558171805}{z}\right)}\\ \end{array} \]

Alternative 9
Error	5.9
Cost	1480

\[\begin{array}{l} \mathbf{if}\;z \leq -1.45 \cdot 10^{+21}:\\ \;\;\;\;x + y \cdot 3.13060547623\\ \mathbf{elif}\;z \leq 21500000000:\\ \;\;\;\;y \cdot \left(z \cdot \left(a \cdot 1.6453555072203998 + b \cdot -32.324150453290734\right)\right) + \left(x + 1.6453555072203998 \cdot \left(y \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x + \frac{y}{\frac{3.7269864963038164}{z} + \left(0.31942702700572795 + \frac{\frac{t}{z} \cdot -0.10203362558171805}{z}\right)}\\ \end{array} \]

Alternative 10
Error	9.9
Cost	1352

\[\begin{array}{l} \mathbf{if}\;z \leq -1.7 \cdot 10^{+21}:\\ \;\;\;\;x + y \cdot 3.13060547623\\ \mathbf{elif}\;z \leq 6.5 \cdot 10^{-56}:\\ \;\;\;\;x + b \cdot \left(y \cdot 1.6453555072203998\right)\\ \mathbf{else}:\\ \;\;\;\;x + \frac{y}{\frac{3.7269864963038164}{z} + \left(0.31942702700572795 + \frac{\frac{t}{z} \cdot -0.10203362558171805}{z}\right)}\\ \end{array} \]

Alternative 11
Error	29.1
Cost	984

\[\begin{array}{l} \mathbf{if}\;x \leq -1.25 \cdot 10^{+22}:\\ \;\;\;\;x\\ \mathbf{elif}\;x \leq -3.6 \cdot 10^{-38}:\\ \;\;\;\;y \cdot 3.13060547623\\ \mathbf{elif}\;x \leq -1.25 \cdot 10^{-67}:\\ \;\;\;\;x\\ \mathbf{elif}\;x \leq -1.6 \cdot 10^{-302}:\\ \;\;\;\;y \cdot 3.13060547623\\ \mathbf{elif}\;x \leq 1.25 \cdot 10^{-233}:\\ \;\;\;\;y \cdot \left(b \cdot 1.6453555072203998\right)\\ \mathbf{elif}\;x \leq 2.8 \cdot 10^{-138}:\\ \;\;\;\;y \cdot 3.13060547623\\ \mathbf{else}:\\ \;\;\;\;x\\ \end{array} \]

Alternative 12
Error	29.1
Cost	984

\[\begin{array}{l} \mathbf{if}\;x \leq -9.6 \cdot 10^{+22}:\\ \;\;\;\;x\\ \mathbf{elif}\;x \leq -1 \cdot 10^{-35}:\\ \;\;\;\;y \cdot 3.13060547623\\ \mathbf{elif}\;x \leq -6.5 \cdot 10^{-68}:\\ \;\;\;\;x\\ \mathbf{elif}\;x \leq -4.8 \cdot 10^{-303}:\\ \;\;\;\;y \cdot 3.13060547623\\ \mathbf{elif}\;x \leq 3 \cdot 10^{-234}:\\ \;\;\;\;1.6453555072203998 \cdot \left(y \cdot b\right)\\ \mathbf{elif}\;x \leq 1.6 \cdot 10^{-139}:\\ \;\;\;\;y \cdot 3.13060547623\\ \mathbf{else}:\\ \;\;\;\;x\\ \end{array} \]

Alternative 13
Error	10.0
Cost	968

\[\begin{array}{l} \mathbf{if}\;z \leq -1.45 \cdot 10^{+21}:\\ \;\;\;\;x + y \cdot 3.13060547623\\ \mathbf{elif}\;z \leq 6.5 \cdot 10^{-56}:\\ \;\;\;\;x + b \cdot \left(y \cdot 1.6453555072203998\right)\\ \mathbf{else}:\\ \;\;\;\;x + \left(y \cdot 3.13060547623 - \frac{y}{\frac{z}{36.52704169880642}}\right)\\ \end{array} \]

Alternative 14
Error	9.9
Cost	840

\[\begin{array}{l} \mathbf{if}\;z \leq -4.4 \cdot 10^{+21}:\\ \;\;\;\;x + y \cdot 3.13060547623\\ \mathbf{elif}\;z \leq 6.5 \cdot 10^{-56}:\\ \;\;\;\;x + b \cdot \left(y \cdot 1.6453555072203998\right)\\ \mathbf{else}:\\ \;\;\;\;x + \frac{y}{\frac{3.7269864963038164}{z} + 0.31942702700572795}\\ \end{array} \]

Alternative 15
Error	28.6
Cost	720

\[\begin{array}{l} \mathbf{if}\;y \leq -1 \cdot 10^{+61}:\\ \;\;\;\;y \cdot 3.13060547623\\ \mathbf{elif}\;y \leq -5.4 \cdot 10^{+23}:\\ \;\;\;\;x\\ \mathbf{elif}\;y \leq -0.135:\\ \;\;\;\;y \cdot 3.13060547623\\ \mathbf{elif}\;y \leq 2.7 \cdot 10^{+206}:\\ \;\;\;\;x\\ \mathbf{else}:\\ \;\;\;\;y \cdot 3.13060547623\\ \end{array} \]

Alternative 16
Error	9.5
Cost	712

\[\begin{array}{l} t_1 := x + y \cdot 3.13060547623\\ \mathbf{if}\;z \leq -1.45 \cdot 10^{+21}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 0.7:\\ \;\;\;\;x + y \cdot \left(b \cdot 1.6453555072203998\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 17
Error	9.5
Cost	712

\[\begin{array}{l} t_1 := x + y \cdot 3.13060547623\\ \mathbf{if}\;z \leq -1.55 \cdot 10^{+21}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 0.7:\\ \;\;\;\;x + b \cdot \left(y \cdot 1.6453555072203998\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 18
Error	18.7
Cost	584

\[\begin{array}{l} t_1 := x + y \cdot 3.13060547623\\ \mathbf{if}\;z \leq -8.2 \cdot 10^{-52}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 2.3 \cdot 10^{-71}:\\ \;\;\;\;x\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 19
Error	32.0
Cost	64

\[x \]

Reproduce

herbie shell --seed 2022329 
(FPCore (x y z t a b)
  :name "Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2, D"
  :precision binary64

  :herbie-target
  (if (< z -6.499344996252632e+53) (+ x (* (+ (- 3.13060547623 (/ 36.527041698806414 z)) (/ t (* z z))) (/ y 1.0))) (if (< z 7.066965436914287e+59) (+ x (/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))) (+ x (* (+ (- 3.13060547623 (/ 36.527041698806414 z)) (/ t (* z z))) (/ y 1.0)))))

  (+ x (/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))))