?

Average Error: 3.15% → 3.15%
Time: 37.8s
Precision: binary64
Cost: 20160

?

\[\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1\right) \cdot \log a\right) - b}}{y} \]
↓
\[\frac{x \cdot e^{\left(y \cdot \log z + \left(t + -1\right) \cdot \log a\right) - b}}{y} \]
(FPCore (x y z t a b)
 :precision binary64
 (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
↓
(FPCore (x y z t a b)
 :precision binary64
 (/ (* x (exp (- (+ (* y (log z)) (* (+ t -1.0) (log a))) b))) y))
double code(double x, double y, double z, double t, double a, double b) {
	return (x * exp((((y * log(z)) + ((t - 1.0) * log(a))) - b))) / y;
}
↓
double code(double x, double y, double z, double t, double a, double b) {
	return (x * exp((((y * log(z)) + ((t + -1.0) * log(a))) - b))) / y;
}

real(8) function code(x, y, z, t, a, b)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    code = (x * exp((((y * log(z)) + ((t - 1.0d0) * log(a))) - b))) / y
end function
↓
real(8) function code(x, y, z, t, a, b)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    code = (x * exp((((y * log(z)) + ((t + (-1.0d0)) * log(a))) - b))) / y
end function

public static double code(double x, double y, double z, double t, double a, double b) {
	return (x * Math.exp((((y * Math.log(z)) + ((t - 1.0) * Math.log(a))) - b))) / y;
}
↓
public static double code(double x, double y, double z, double t, double a, double b) {
	return (x * Math.exp((((y * Math.log(z)) + ((t + -1.0) * Math.log(a))) - b))) / y;
}

def code(x, y, z, t, a, b):
	return (x * math.exp((((y * math.log(z)) + ((t - 1.0) * math.log(a))) - b))) / y
↓
def code(x, y, z, t, a, b):
	return (x * math.exp((((y * math.log(z)) + ((t + -1.0) * math.log(a))) - b))) / y

function code(x, y, z, t, a, b)
	return Float64(Float64(x * exp(Float64(Float64(Float64(y * log(z)) + Float64(Float64(t - 1.0) * log(a))) - b))) / y)
end
↓
function code(x, y, z, t, a, b)
	return Float64(Float64(x * exp(Float64(Float64(Float64(y * log(z)) + Float64(Float64(t + -1.0) * log(a))) - b))) / y)
end

function tmp = code(x, y, z, t, a, b)
	tmp = (x * exp((((y * log(z)) + ((t - 1.0) * log(a))) - b))) / y;
end
↓
function tmp = code(x, y, z, t, a, b)
	tmp = (x * exp((((y * log(z)) + ((t + -1.0) * log(a))) - b))) / y;
end

code[x_, y_, z_, t_, a_, b_] := N[(N[(x * N[Exp[N[(N[(N[(y * N[Log[z], $MachinePrecision]), $MachinePrecision] + N[(N[(t - 1.0), $MachinePrecision] * N[Log[a], $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - b), $MachinePrecision]], $MachinePrecision]), $MachinePrecision] / y), $MachinePrecision]
↓
code[x_, y_, z_, t_, a_, b_] := N[(N[(x * N[Exp[N[(N[(N[(y * N[Log[z], $MachinePrecision]), $MachinePrecision] + N[(N[(t + -1.0), $MachinePrecision] * N[Log[a], $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - b), $MachinePrecision]], $MachinePrecision]), $MachinePrecision] / y), $MachinePrecision]

\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1\right) \cdot \log a\right) - b}}{y}
↓
\frac{x \cdot e^{\left(y \cdot \log z + \left(t + -1\right) \cdot \log a\right) - b}}{y}

Error?

Try it out?

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original3.15%
Target17.38%
Herbie3.15%
\[\begin{array}{l} \mathbf{if}\;t < -0.8845848504127471:\\ \;\;\;\;\frac{x \cdot \frac{{a}^{\left(t - 1\right)}}{y}}{\left(b + 1\right) - y \cdot \log z}\\ \mathbf{elif}\;t < 852031.2288374073:\\ \;\;\;\;\frac{\frac{x}{y} \cdot {a}^{\left(t - 1\right)}}{e^{b - \log z \cdot y}}\\ \mathbf{else}:\\ \;\;\;\;\frac{x \cdot \frac{{a}^{\left(t - 1\right)}}{y}}{\left(b + 1\right) - y \cdot \log z}\\ \end{array} \]

Derivation?

  1. Initial program 3.15

    \[\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1\right) \cdot \log a\right) - b}}{y} \]

  2. Final simplification3.15

    \[\leadsto \frac{x \cdot e^{\left(y \cdot \log z + \left(t + -1\right) \cdot \log a\right) - b}}{y} \]

Alternatives

Alternative 1
Error9.17%
Cost27016
\[\begin{array}{l} t_1 := \left(t + -1\right) \cdot \log a\\ \mathbf{if}\;t_1 \leq -100000:\\ \;\;\;\;x \cdot \frac{\frac{{a}^{t}}{a}}{y}\\ \mathbf{elif}\;t_1 \leq -295:\\ \;\;\;\;\frac{x}{y \cdot \left(a + a \cdot b\right)}\\ \mathbf{else}:\\ \;\;\;\;\frac{{z}^{y}}{a} \cdot \frac{x}{y \cdot e^{b}}\\ \end{array} \]
Alternative 2
Error3.52%
Cost26692
\[\begin{array}{l} \mathbf{if}\;\left(t + -1\right) \cdot \log a \leq -100000:\\ \;\;\;\;x \cdot \frac{\frac{{a}^{t}}{a}}{y}\\ \mathbf{else}:\\ \;\;\;\;\frac{x \cdot e^{\left(y \cdot \log z - \log a\right) - b}}{y}\\ \end{array} \]
Alternative 3
Error19.69%
Cost13836
\[\begin{array}{l} t_1 := a \cdot e^{b}\\ \mathbf{if}\;b \leq -4.9 \cdot 10^{-27}:\\ \;\;\;\;\frac{x \cdot {a}^{\left(t + -1\right)}}{y}\\ \mathbf{elif}\;b \leq 1.85 \cdot 10^{-219}:\\ \;\;\;\;\frac{x \cdot {z}^{y}}{y \cdot a}\\ \mathbf{elif}\;b \leq 6 \cdot 10^{-16}:\\ \;\;\;\;\frac{{a}^{t}}{y} \cdot \frac{x}{t_1}\\ \mathbf{else}:\\ \;\;\;\;\frac{x}{y \cdot t_1}\\ \end{array} \]
Alternative 4
Error19.01%
Cost7436
\[\begin{array}{l} \mathbf{if}\;b \leq -6.8 \cdot 10^{-28}:\\ \;\;\;\;\frac{x \cdot {a}^{\left(t + -1\right)}}{y}\\ \mathbf{elif}\;b \leq 2.1 \cdot 10^{-219}:\\ \;\;\;\;\frac{x \cdot {z}^{y}}{y \cdot a}\\ \mathbf{elif}\;b \leq 6 \cdot 10^{-16}:\\ \;\;\;\;\frac{\frac{\frac{{a}^{t}}{a}}{\frac{1}{x}}}{y}\\ \mathbf{else}:\\ \;\;\;\;\frac{x}{y \cdot \left(a \cdot e^{b}\right)}\\ \end{array} \]
Alternative 5
Error17.61%
Cost7308
\[\begin{array}{l} t_1 := x \cdot \frac{\frac{{a}^{t}}{a}}{y}\\ \mathbf{if}\;b \leq -4.9 \cdot 10^{-153}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -8.5 \cdot 10^{-204}:\\ \;\;\;\;\left(y - y \cdot b\right) \cdot \frac{\frac{\frac{x}{a}}{y}}{y}\\ \mathbf{elif}\;b \leq 6 \cdot 10^{-16}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\frac{x}{y \cdot \left(a \cdot e^{b}\right)}\\ \end{array} \]
Alternative 6
Error19.16%
Cost7308
\[\begin{array}{l} t_1 := \frac{x \cdot {a}^{\left(t + -1\right)}}{y}\\ \mathbf{if}\;b \leq -3.3 \cdot 10^{-28}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 2.15 \cdot 10^{-218}:\\ \;\;\;\;x \cdot \frac{{z}^{y}}{y \cdot a}\\ \mathbf{elif}\;b \leq 5.6 \cdot 10^{-16}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\frac{x}{y \cdot \left(a \cdot e^{b}\right)}\\ \end{array} \]
Alternative 7
Error19.03%
Cost7308
\[\begin{array}{l} t_1 := \frac{x \cdot {a}^{\left(t + -1\right)}}{y}\\ \mathbf{if}\;b \leq -5.9 \cdot 10^{-27}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 1.4 \cdot 10^{-219}:\\ \;\;\;\;\frac{x \cdot {z}^{y}}{y \cdot a}\\ \mathbf{elif}\;b \leq 6 \cdot 10^{-16}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\frac{x}{y \cdot \left(a \cdot e^{b}\right)}\\ \end{array} \]
Alternative 8
Error35.55%
Cost7244
\[\begin{array}{l} \mathbf{if}\;b \leq -1.8 \cdot 10^{-65}:\\ \;\;\;\;\frac{\frac{x}{a + a \cdot b}}{y}\\ \mathbf{elif}\;b \leq -9 \cdot 10^{-133}:\\ \;\;\;\;\frac{\frac{y}{b} - y}{\frac{a}{x} \cdot \left(y \cdot \frac{y}{b}\right)}\\ \mathbf{elif}\;b \leq 1.25 \cdot 10^{-99}:\\ \;\;\;\;\left(y - y \cdot b\right) \cdot \frac{\frac{\frac{x}{a}}{y}}{y}\\ \mathbf{else}:\\ \;\;\;\;\frac{x}{a \cdot \left(y \cdot e^{b}\right)}\\ \end{array} \]
Alternative 9
Error35.59%
Cost7244
\[\begin{array}{l} \mathbf{if}\;b \leq -2.65 \cdot 10^{-64}:\\ \;\;\;\;\frac{\frac{x}{a + a \cdot b}}{y}\\ \mathbf{elif}\;b \leq -8 \cdot 10^{-133}:\\ \;\;\;\;\frac{\frac{y}{b} - y}{\frac{a}{x} \cdot \left(y \cdot \frac{y}{b}\right)}\\ \mathbf{elif}\;b \leq 1.42 \cdot 10^{-99}:\\ \;\;\;\;\left(y - y \cdot b\right) \cdot \frac{\frac{\frac{x}{a}}{y}}{y}\\ \mathbf{else}:\\ \;\;\;\;\frac{x}{y \cdot \left(a \cdot e^{b}\right)}\\ \end{array} \]
Alternative 10
Error35.42%
Cost7244
\[\begin{array}{l} \mathbf{if}\;b \leq -2.4 \cdot 10^{-66}:\\ \;\;\;\;\frac{\frac{x}{a + a \cdot b}}{y}\\ \mathbf{elif}\;b \leq -1.5 \cdot 10^{-132}:\\ \;\;\;\;\frac{\frac{y}{b} - y}{\frac{a}{x} \cdot \left(y \cdot \frac{y}{b}\right)}\\ \mathbf{elif}\;b \leq 1.76 \cdot 10^{-221}:\\ \;\;\;\;\left(y - y \cdot b\right) \cdot \frac{\frac{\frac{x}{a}}{y}}{y}\\ \mathbf{else}:\\ \;\;\;\;\frac{\frac{x}{a \cdot e^{b}}}{y}\\ \end{array} \]
Alternative 11
Error19.98%
Cost7176
\[\begin{array}{l} \mathbf{if}\;b \leq 3.95 \cdot 10^{-234}:\\ \;\;\;\;x \cdot \frac{{z}^{y}}{y \cdot a}\\ \mathbf{elif}\;b \leq 6 \cdot 10^{-16}:\\ \;\;\;\;x \cdot \frac{\frac{{a}^{t}}{a}}{y}\\ \mathbf{else}:\\ \;\;\;\;\frac{x}{y \cdot \left(a \cdot e^{b}\right)}\\ \end{array} \]
Alternative 12
Error44.58%
Cost1484
\[\begin{array}{l} \mathbf{if}\;b \leq -5.8 \cdot 10^{-67}:\\ \;\;\;\;\frac{\frac{x}{a + a \cdot b}}{y}\\ \mathbf{elif}\;b \leq -1.32 \cdot 10^{-132}:\\ \;\;\;\;\frac{\frac{y}{b} - y}{\frac{a}{x} \cdot \left(y \cdot \frac{y}{b}\right)}\\ \mathbf{elif}\;b \leq 1.15 \cdot 10^{-99}:\\ \;\;\;\;\left(y - y \cdot b\right) \cdot \frac{\frac{\frac{x}{a}}{y}}{y}\\ \mathbf{else}:\\ \;\;\;\;\frac{x}{a \cdot \left(\left(y \cdot 0.5\right) \cdot \left(b \cdot b\right) + \left(y + y \cdot b\right)\right)}\\ \end{array} \]
Alternative 13
Error54.86%
Cost1372
\[\begin{array}{l} t_1 := \frac{\frac{x}{y}}{a}\\ \mathbf{if}\;b \leq -2 \cdot 10^{+46}:\\ \;\;\;\;\frac{x}{a \cdot \left(y \cdot b\right)}\\ \mathbf{elif}\;b \leq -1 \cdot 10^{-105}:\\ \;\;\;\;\frac{x \cdot \frac{1}{a}}{y}\\ \mathbf{elif}\;b \leq -3.5 \cdot 10^{-217}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -2.2 \cdot 10^{-294}:\\ \;\;\;\;\frac{b}{y} \cdot \left(-\frac{x}{a}\right)\\ \mathbf{elif}\;b \leq 4.5 \cdot 10^{-184}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 1.6 \cdot 10^{-94}:\\ \;\;\;\;\frac{x}{y} \cdot \left(-\frac{b}{a}\right)\\ \mathbf{elif}\;b \leq 5 \cdot 10^{-8}:\\ \;\;\;\;\frac{x}{a} \cdot \frac{1}{y}\\ \mathbf{else}:\\ \;\;\;\;\frac{x}{y \cdot \left(a \cdot b\right)}\\ \end{array} \]
Alternative 14
Error54.67%
Cost1372
\[\begin{array}{l} t_1 := \frac{\frac{x}{y}}{a}\\ \mathbf{if}\;b \leq -2 \cdot 10^{+46}:\\ \;\;\;\;\frac{x}{a \cdot \left(y \cdot b\right)}\\ \mathbf{elif}\;b \leq -1.36 \cdot 10^{-105}:\\ \;\;\;\;\frac{x \cdot \frac{1}{a}}{y}\\ \mathbf{elif}\;b \leq -3.4 \cdot 10^{-217}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -4.9 \cdot 10^{-290}:\\ \;\;\;\;\frac{b}{y} \cdot \left(-\frac{x}{a}\right)\\ \mathbf{elif}\;b \leq 3 \cdot 10^{-166}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 3.1 \cdot 10^{-90}:\\ \;\;\;\;-\frac{x \cdot b}{y \cdot a}\\ \mathbf{elif}\;b \leq 2.45 \cdot 10^{-8}:\\ \;\;\;\;\frac{x}{a} \cdot \frac{1}{y}\\ \mathbf{else}:\\ \;\;\;\;\frac{x}{y \cdot \left(a \cdot b\right)}\\ \end{array} \]
Alternative 15
Error50.47%
Cost1356
\[\begin{array}{l} t_1 := y + y \cdot b\\ \mathbf{if}\;y \leq -1.25 \cdot 10^{-65}:\\ \;\;\;\;\frac{x}{a \cdot t_1}\\ \mathbf{elif}\;y \leq 6.8 \cdot 10^{+44}:\\ \;\;\;\;\frac{\frac{x}{a + a \cdot b}}{y}\\ \mathbf{elif}\;y \leq 4.1 \cdot 10^{+164}:\\ \;\;\;\;\frac{\frac{y}{b} - y}{\frac{a}{x} \cdot \left(y \cdot \frac{y}{b}\right)}\\ \mathbf{else}:\\ \;\;\;\;\frac{\frac{x}{t_1}}{a}\\ \end{array} \]
Alternative 16
Error53.86%
Cost1240
\[\begin{array}{l} t_1 := \frac{\frac{x}{y}}{a}\\ \mathbf{if}\;b \leq -2.05 \cdot 10^{+46}:\\ \;\;\;\;\frac{x}{a \cdot \left(y \cdot b\right)}\\ \mathbf{elif}\;b \leq -6.2 \cdot 10^{-107}:\\ \;\;\;\;\frac{x \cdot \frac{1}{a}}{y}\\ \mathbf{elif}\;b \leq -3.5 \cdot 10^{-217}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -6.2 \cdot 10^{-291}:\\ \;\;\;\;\frac{x}{y} \cdot \left(-\frac{b}{a}\right)\\ \mathbf{elif}\;b \leq 2.15 \cdot 10^{-165}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 2.45 \cdot 10^{-8}:\\ \;\;\;\;\frac{x}{a} \cdot \frac{1}{y}\\ \mathbf{else}:\\ \;\;\;\;\frac{x}{y \cdot \left(a \cdot b\right)}\\ \end{array} \]
Alternative 17
Error54.44%
Cost1236
\[\begin{array}{l} t_1 := \frac{x}{a \cdot \left(y + y \cdot b\right)}\\ \mathbf{if}\;b \leq -3.5 \cdot 10^{-217}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -8.5 \cdot 10^{-290}:\\ \;\;\;\;\frac{b}{y} \cdot \left(-\frac{x}{a}\right)\\ \mathbf{elif}\;b \leq 1.6 \cdot 10^{-165}:\\ \;\;\;\;\frac{\frac{x}{y}}{a}\\ \mathbf{elif}\;b \leq 1.4 \cdot 10^{-95}:\\ \;\;\;\;-\frac{x \cdot b}{y \cdot a}\\ \mathbf{elif}\;b \leq 3.2 \cdot 10^{+173}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\frac{x}{y \cdot \left(a \cdot b\right)}\\ \end{array} \]
Alternative 18
Error54.1%
Cost1236
\[\begin{array}{l} \mathbf{if}\;b \leq -3.4 \cdot 10^{-217}:\\ \;\;\;\;\frac{x}{a \cdot \left(y + y \cdot b\right)}\\ \mathbf{elif}\;b \leq -1.65 \cdot 10^{-295}:\\ \;\;\;\;\frac{b}{y} \cdot \left(-\frac{x}{a}\right)\\ \mathbf{elif}\;b \leq 7.7 \cdot 10^{-165}:\\ \;\;\;\;\frac{\frac{x}{y}}{a}\\ \mathbf{elif}\;b \leq 1.25 \cdot 10^{-95}:\\ \;\;\;\;-\frac{x \cdot b}{y \cdot a}\\ \mathbf{elif}\;b \leq 10^{-28}:\\ \;\;\;\;\frac{1 - b}{y \cdot \frac{a}{x}}\\ \mathbf{else}:\\ \;\;\;\;\frac{x}{y \cdot \left(a + a \cdot b\right)}\\ \end{array} \]
Alternative 19
Error49.17%
Cost1228
\[\begin{array}{l} t_1 := y + y \cdot b\\ \mathbf{if}\;y \leq -4 \cdot 10^{-67}:\\ \;\;\;\;\frac{x}{a \cdot t_1}\\ \mathbf{elif}\;y \leq 9.8 \cdot 10^{+42}:\\ \;\;\;\;\frac{\frac{x}{a + a \cdot b}}{y}\\ \mathbf{elif}\;y \leq 3.15 \cdot 10^{+183}:\\ \;\;\;\;\frac{y - y \cdot b}{\frac{a \cdot \left(y \cdot y\right)}{x}}\\ \mathbf{else}:\\ \;\;\;\;\frac{\frac{x}{t_1}}{a}\\ \end{array} \]
Alternative 20
Error54.49%
Cost1108
\[\begin{array}{l} t_1 := \frac{x}{a} \cdot \frac{1}{y}\\ t_2 := \frac{x}{a \cdot \left(y \cdot b\right)}\\ \mathbf{if}\;b \leq -2 \cdot 10^{+46}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq -9.6 \cdot 10^{-64}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 7.5 \cdot 10^{-245}:\\ \;\;\;\;\frac{x}{y \cdot a}\\ \mathbf{elif}\;b \leq 9 \cdot 10^{-30}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 15000000:\\ \;\;\;\;\frac{\frac{x}{y}}{a}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 21
Error53.75%
Cost1108
\[\begin{array}{l} t_1 := \frac{x}{a} \cdot \frac{1}{y}\\ \mathbf{if}\;b \leq -2 \cdot 10^{+46}:\\ \;\;\;\;\frac{x}{a \cdot \left(y \cdot b\right)}\\ \mathbf{elif}\;b \leq -3.6 \cdot 10^{-63}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 1.72 \cdot 10^{-248}:\\ \;\;\;\;\frac{x}{y \cdot a}\\ \mathbf{elif}\;b \leq 2.05 \cdot 10^{-29}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 0.0038:\\ \;\;\;\;\frac{\frac{x}{y}}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{x}{y \cdot \left(a \cdot b\right)}\\ \end{array} \]
Alternative 22
Error53.7%
Cost1108
\[\begin{array}{l} \mathbf{if}\;b \leq -2 \cdot 10^{+46}:\\ \;\;\;\;\frac{x}{a \cdot \left(y \cdot b\right)}\\ \mathbf{elif}\;b \leq -1.35 \cdot 10^{-63}:\\ \;\;\;\;\frac{x \cdot \frac{1}{a}}{y}\\ \mathbf{elif}\;b \leq 2.65 \cdot 10^{-244}:\\ \;\;\;\;\frac{x}{y \cdot a}\\ \mathbf{elif}\;b \leq 2.9 \cdot 10^{-31}:\\ \;\;\;\;\frac{x}{a} \cdot \frac{1}{y}\\ \mathbf{elif}\;b \leq 100:\\ \;\;\;\;\frac{\frac{x}{y}}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{x}{y \cdot \left(a \cdot b\right)}\\ \end{array} \]
Alternative 23
Error51.48%
Cost1105
\[\begin{array}{l} t_1 := y + y \cdot b\\ \mathbf{if}\;y \leq -1 \cdot 10^{-65}:\\ \;\;\;\;\frac{x}{a \cdot t_1}\\ \mathbf{elif}\;y \leq 2.6 \cdot 10^{+37}:\\ \;\;\;\;\frac{\frac{x}{a + a \cdot b}}{y}\\ \mathbf{elif}\;y \leq 1.35 \cdot 10^{+181} \lor \neg \left(y \leq 2.2 \cdot 10^{+231}\right):\\ \;\;\;\;-\frac{x \cdot b}{y \cdot a}\\ \mathbf{else}:\\ \;\;\;\;\frac{\frac{x}{t_1}}{a}\\ \end{array} \]
Alternative 24
Error54%
Cost1104
\[\begin{array}{l} \mathbf{if}\;b \leq -3.4 \cdot 10^{-217}:\\ \;\;\;\;\frac{x}{a \cdot \left(y + y \cdot b\right)}\\ \mathbf{elif}\;b \leq -1.5 \cdot 10^{-291}:\\ \;\;\;\;\frac{b}{y} \cdot \left(-\frac{x}{a}\right)\\ \mathbf{elif}\;b \leq 3.6 \cdot 10^{-165}:\\ \;\;\;\;\frac{\frac{x}{y}}{a}\\ \mathbf{elif}\;b \leq 1.25 \cdot 10^{-95}:\\ \;\;\;\;-\frac{x \cdot b}{y \cdot a}\\ \mathbf{else}:\\ \;\;\;\;\frac{x}{y \cdot \left(a + a \cdot b\right)}\\ \end{array} \]
Alternative 25
Error54.27%
Cost1104
\[\begin{array}{l} \mathbf{if}\;b \leq -3.4 \cdot 10^{-217}:\\ \;\;\;\;\frac{x}{a \cdot \left(y + y \cdot b\right)}\\ \mathbf{elif}\;b \leq -4.6 \cdot 10^{-290}:\\ \;\;\;\;\frac{b}{y} \cdot \left(-\frac{x}{a}\right)\\ \mathbf{elif}\;b \leq 5.2 \cdot 10^{-165}:\\ \;\;\;\;\frac{\frac{x}{y}}{a}\\ \mathbf{elif}\;b \leq 2.7 \cdot 10^{-94}:\\ \;\;\;\;-\frac{x \cdot b}{y \cdot a}\\ \mathbf{else}:\\ \;\;\;\;\frac{\frac{x}{a + a \cdot b}}{y}\\ \end{array} \]
Alternative 26
Error63.52%
Cost712
\[\begin{array}{l} \mathbf{if}\;y \leq -8.4 \cdot 10^{-66}:\\ \;\;\;\;\frac{x}{y \cdot a}\\ \mathbf{elif}\;y \leq 1.18 \cdot 10^{-142}:\\ \;\;\;\;\frac{x}{a} \cdot \frac{1}{y}\\ \mathbf{else}:\\ \;\;\;\;\frac{\frac{x}{y}}{a}\\ \end{array} \]
Alternative 27
Error62.96%
Cost585
\[\begin{array}{l} \mathbf{if}\;y \leq -1 \cdot 10^{-65} \lor \neg \left(y \leq 4.2 \cdot 10^{-116}\right):\\ \;\;\;\;\frac{x}{y \cdot a}\\ \mathbf{else}:\\ \;\;\;\;\frac{\frac{x}{a}}{y}\\ \end{array} \]
Alternative 28
Error63.5%
Cost584
\[\begin{array}{l} \mathbf{if}\;y \leq -1 \cdot 10^{-65}:\\ \;\;\;\;\frac{x}{y \cdot a}\\ \mathbf{elif}\;y \leq 4.9 \cdot 10^{-142}:\\ \;\;\;\;\frac{\frac{x}{a}}{y}\\ \mathbf{else}:\\ \;\;\;\;\frac{\frac{x}{y}}{a}\\ \end{array} \]
Alternative 29
Error65.27%
Cost320
\[\frac{x}{y \cdot a} \]

Error

Reproduce?

herbie shell --seed 2023121 
(FPCore (x y z t a b)
  :name "Numeric.SpecFunctions:incompleteBetaWorker from math-functions-0.1.5.2, A"
  :precision binary64

  :herbie-target
  (if (< t -0.8845848504127471) (/ (* x (/ (pow a (- t 1.0)) y)) (- (+ b 1.0) (* y (log z)))) (if (< t 852031.2288374073) (/ (* (/ x y) (pow a (- t 1.0))) (exp (- b (* (log z) y)))) (/ (* x (/ (pow a (- t 1.0)) y)) (- (+ b 1.0) (* y (log z))))))

  (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))