Average Error: 1.4 → 1.4
Time: 4.9s
Precision: binary64
\[\left(\left(\left(\left(\left(\left(a \cdot {x}^{7} + b \cdot {x}^{6}\right) + c \cdot {x}^{5}\right) + d \cdot {x}^{4}\right) + e \cdot {x}^{3}\right) + f \cdot {x}^{2}\right) + g \cdot x\right) + h\]
↓
\[\left(\left(\left(\left(\left(\left(a \cdot {x}^{7} + b \cdot {x}^{6}\right) + c \cdot {x}^{5}\right) + d \cdot {x}^{4}\right) + e \cdot {x}^{3}\right) + f \cdot {x}^{2}\right) + g \cdot x\right) + h\]
\left(\left(\left(\left(\left(\left(a \cdot {x}^{7} + b \cdot {x}^{6}\right) + c \cdot {x}^{5}\right) + d \cdot {x}^{4}\right) + e \cdot {x}^{3}\right) + f \cdot {x}^{2}\right) + g \cdot x\right) + h
↓
\left(\left(\left(\left(\left(\left(a \cdot {x}^{7} + b \cdot {x}^{6}\right) + c \cdot {x}^{5}\right) + d \cdot {x}^{4}\right) + e \cdot {x}^{3}\right) + f \cdot {x}^{2}\right) + g \cdot x\right) + h
double code(double a, double x, double b, double c, double d, double e, double f, double g, double h) {
	return ((double) (((double) (((double) (((double) (((double) (((double) (((double) (((double) (a * ((double) pow(x, 7.0)))) + ((double) (b * ((double) pow(x, 6.0)))))) + ((double) (c * ((double) pow(x, 5.0)))))) + ((double) (d * ((double) pow(x, 4.0)))))) + ((double) (e * ((double) pow(x, 3.0)))))) + ((double) (f * ((double) pow(x, 2.0)))))) + ((double) (g * x)))) + h));
}
↓
double code(double a, double x, double b, double c, double d, double e, double f, double g, double h) {
	return ((double) (((double) (((double) (((double) (((double) (((double) (((double) (((double) (a * ((double) pow(x, 7.0)))) + ((double) (b * ((double) pow(x, 6.0)))))) + ((double) (c * ((double) pow(x, 5.0)))))) + ((double) (d * ((double) pow(x, 4.0)))))) + ((double) (e * ((double) pow(x, 3.0)))))) + ((double) (f * ((double) pow(x, 2.0)))))) + ((double) (g * x)))) + h));
}

Error

Bits error versus a

Bits error versus x

Bits error versus b

Bits error versus c

Bits error versus d

Bits error versus e

Bits error versus f

Bits error versus g

Bits error versus h

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 1.4

    \[\left(\left(\left(\left(\left(\left(a \cdot {x}^{7} + b \cdot {x}^{6}\right) + c \cdot {x}^{5}\right) + d \cdot {x}^{4}\right) + e \cdot {x}^{3}\right) + f \cdot {x}^{2}\right) + g \cdot x\right) + h\]

  2. Final simplification1.4

    \[\leadsto \left(\left(\left(\left(\left(\left(a \cdot {x}^{7} + b \cdot {x}^{6}\right) + c \cdot {x}^{5}\right) + d \cdot {x}^{4}\right) + e \cdot {x}^{3}\right) + f \cdot {x}^{2}\right) + g \cdot x\right) + h\]

Reproduce

herbie shell --seed 2020153 
(FPCore (a x b c d e f g h)
  :name "(+ (+ (+ (+ (+ (+ (+ (* a (pow x 7)) (* b (pow x 6))) (* c (pow x 5))) (* d (pow x 4))) (* e (pow x 3))) (* f (pow x 2))) (* g x)) h)"
  :precision binary64
  (+ (+ (+ (+ (+ (+ (+ (* a (pow x 7.0)) (* b (pow x 6.0))) (* c (pow x 5.0))) (* d (pow x 4.0))) (* e (pow x 3.0))) (* f (pow x 2.0))) (* g x)) h))