ndCurveMaster

List of functions:

Exponential, trigonometric, polynomial, rational and power functions up to ±3

Exponential

exp(x)2, exp(x), exp(-x), exp(-|x|), exp(-x2), exp(x) - 1

Hyperbolic

sinh(x), cosh(x), tanh(x), 1 / cosh(x)

Trigonometric

sin(x), cos(x), sin(x)2, cos(x)2, cos(x)·exp(-x2), sin(x)·exp(-x2), cos(x)·exp(-|x|), sin(x)·exp(-|x|)

Logarithmic

ln(x), (ln(x))2, (ln(x))3, (ln(x))-1, (ln(1+|x|))2, (ln(1+|x|))3, ln(1+exp(x))

Rational and smooth fractional functions

xn, |x|n, where n = 1/4, 1/3, 1/2, 2/3, 3/4, 3/2, -1/4, -1/3, -1/2, -2/3, -3/4, -3/2,
x / (1+|x|), x / (1+x2), 1 / (1+|x|), 1 / (1+x2), 1 / (|x|+1), 1 / (√|x|+1), 1 / (ln(1+|x|)+1)

Polynomial

x, x2, x3, 1/x, x-2, x-3

Power (absolute value)

|x|n, where -3.0 ≤ n ≤ 3.0

Power (plain x)

xn, where -3.0 ≤ n ≤ 3.0

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Exponential, trigonometric, polynomial, rational and power functions up to ±5

Exponential

exp(x)2, exp(x), exp(-x), exp(-|x|), exp(-x2), exp(x)-1, ln(1+exp(x))

Hyperbolic

sinh(x), cosh(x), tanh(x), 1 / cosh(x)

Trigonometric

sin(x), cos(x), sin(x)2, cos(x)2, cos(x)·exp(-x2), sin(x)·exp(-x2), cos(x)·exp(-|x|), sin(x)·exp(-|x|)

Logarithmic

ln(x), (ln(x))2, (ln(x))3, (ln(x))-1, (ln(1+|x|))2, (ln(1+|x|))3

Rational and smooth fractional functions

xn, |x|n, where n = 1/4, 1/3, 1/2, 2/3, 3/4, 3/2, -1/4, -1/3, -1/2, -2/3, -3/4, -3/2,
x / (1+|x|), x / (1+x2), 1 / (1+|x|), 1 / (1+x2), 1 / (|x|+1), 1 / (√|x|+1), 1 / (ln(1+|x|)+1)

Polynomial

x, x2, x3, x4, x5, 1/x, x-2, x-3, x-4, x-5

Power (absolute value)

|x|n, where -5.0 ≤ n ≤ 5.0

Power (plain x)

xn, where -5.0 ≤ n ≤ 5.0

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Simplified exponential, trigonometric, polynomial, rational and power functions (±3)

Exponential

exp(x), exp(-x), exp(-|x|), exp(-x2)

Hyperbolic

sinh(x), cosh(x), tanh(x), 1 / cosh(x)

Trigonometric

sin(x), cos(x), sin(x)2, cos(x)2, arctan(x)

Logarithmic

ln(x), (ln(x))2, (ln(x))3, (ln(x))-1

Rational

xn, |x|n, where n = 1/4, 1/3, 1/2, 2/3, 3/4, 3/2, -1/4, -1/3, -1/2, -2/3, -3/4, -3/2

Polynomial

x, x2, x3, 1/x, x-2, x-3

Power (absolute value)

|x|n, where -3.0 ≤ n ≤ 3.0

Power (plain x)

xn, where -3.0 ≤ n ≤ 3.0

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Polynomial, rational and power functions up to ±5

Polynomial

x, x2, x3, x4, x5, 1/x, x-2, x-3, x-4, x-5

Rational

xn, |x|n, where n = 1/4, 1/3, 1/2, 2/3, 3/4, 3/2, -1/4, -1/3, -1/2, -2/3, -3/4, -3/2

Power (absolute value)

|x|n, where -5.0 ≤ n ≤ 5.0

Power (plain x)

xn, where -5.0 ≤ n ≤ 5.0

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Polynomial, rational and power functions up to ±4

Polynomial

x, x2, x3, x4, 1/x, x-2, x-3, x-4

Power (absolute value)

|x|n, where -4.0 ≤ n ≤ 4.0

Power (plain x)

xn, where -4.0 ≤ n ≤ 4.0

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⭐ Polynomial, rational and power functions up to ±3

Polynomial

x, x2, x3, 1/x, x-2, x-3

Rational

xn, |x|n, where n = 1/4, 1/3, 1/2, 2/3, 3/4, 3/2, -1/4, -1/3, -1/2, -2/3, -3/4, -3/2

Power (absolute value)

|x|n, where 0.05 ≤ n ≤ 3.0

Power (plain x)

xn, where -3.0 ≤ n ≤ 3.0

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Polynomial, rational and power functions up to ±3 — detailed search

Note: This option is similar to ⭐ Polynomial and power functions up to ±3, but the search is performed in a more fine-grained way (denser sampling of exponents).

Polynomial

x, x2, x3, 1/x, x-2, x-3

Rational

xn, |x|n, where n = 1/4, 1/3, 1/2, 2/3, 3/4, 3/2, -1/4, -1/3, -1/2, -2/3, -3/4, -3/2

Power (absolute value)

|x|n, where -3.0 ≤ n ≤ 3.0

Power (plain x)

xn, where -3.0 ≤ n ≤ 3.0

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