@@ -12,7 +12,7 @@ in this file. All operations in input files are assumed to be over
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real numbers. FPTaylor models floating-point arithmetic with rounding
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operations. The basic analysis which FPTaylor performs is the
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following. Suppose the input file contains an expression ` expr `
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- containing some variables (for simplicity, assume that is depends on
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+ containing some variables (for simplicity, assume that it depends on
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one variable ` x ` ) and some rounding operations. FPTaylor constructs
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another expression ` expr' ` without rounding operations and estimates
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the maximum value of the difference
@@ -233,7 +233,7 @@ It is equivalent to
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### Constraints
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- Each variable have lower and upper bounds. Additional constraints can
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+ Each variable has lower and upper bounds. Additional constraints can
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be defined in the following section
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Constraints
@@ -349,7 +349,7 @@ if `type` is `up`, `down`, or `zero`. There is one special value for
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FPTaylor also can work with an improved rounded model where the
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expression ` f e ` is replaced with ` p2(f)e ` . The function ` p2 ` is a
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special function which improves the result of the rounding
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- approximation. In general, the imporved rounding model leads to more
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+ approximation. In general, the improved rounding model leads to more
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complicated problems for FPTaylor to solve. It can be turned on with a
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special option.
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@@ -456,7 +456,7 @@ error.
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Possible values: ` true ` , ` false ` .
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- Turns on or off the impoved rounding model. The improved rounding
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+ Turns on or off the improved rounding model. The improved rounding
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model yields better error estimation results but it also produces
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harder problems for optimization backends to solve. It may be not
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supported by some optimization backends.
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