Kahan's exp quotient

Time bar (total: 1.4s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze1.0ms (0.1%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
75%75%25%0%0%0%0%3
87.5%87.5%12.5%0%0%0%0%4
93.8%93.7%6.2%0%0%0%0%5
96.9%96.8%3.1%0%0%0%0%6
98.4%98.4%1.6%0%0%0%0%7
99.2%99.2%0.8%0%0%0%0%8
99.6%99.6%0.4%0%0%0%0%9
99.8%99.8%0.2%0%0%0%0%10
99.9%99.9%0.1%0%0%0%0%11
100%99.9%0%0%0%0%0%12
Compiler

Compiled 8 to 5 computations (37.5% saved)

sample479.0ms (34.7%)

Memory
-2.5MiB live, 797.3MiB allocated; 133ms collecting garbage
Samples
289.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 134.0ms
ival-div!: 74.0ms (55.3% of total)
ival-expm1: 59.0ms (44.1% of total)
adjust: 2.0ms (1.5% of total)
Bogosity

preprocess33.0ms (2.4%)

Memory
11.9MiB live, 63.0MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01023
14820
221120
3129420
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶48.2%
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Compiler

Compiled 12 to 10 computations (16.7% saved)

series12.0ms (0.9%)

Memory
-24.0MiB live, 22.1MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040147
Stop Event
1×iter-limit
Counts
5 → 14
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
x
#s(literal 1 binary64)
Outputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))
#s(approx (/ (- (exp x) 1) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)))))))
#s(approx (- (exp x) 1) x)
#s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
#s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))))))))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx (/ (- (exp x) 1) x) (/.f64 (expm1.f64 x) x))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (exp x) (exp.f64 x))
Calls

3 calls:

TimeVariablePoint
1.0ms
x
-inf
1.0ms
x
inf
0.0ms
x
0

rewrite121.0ms (8.8%)

Memory
9.4MiB live, 210.5MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0514
0814
12714
29714
354414
0413210
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
5 → 655
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
x
#s(literal 1 binary64)
Outputs
(*.f64 (/.f64 (expm1.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (expm1.f64 x) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (expm1.f64 x)))
(*.f64 (expm1.f64 (+.f64 x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 (*.f64 (exp.f64 x) x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (expm1.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (expm1.f64 x) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) x))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 x) (*.f64 (*.f64 (exp.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 x)))) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (neg.f64 x)))
(/.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) (*.f64 #s(literal 2 binary64) (neg.f64 x)))) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) x))
(/.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 (fma.f64 (/.f64 (cosh.f64 x) x) x (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (neg.f64 x)))) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) x))
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) (*.f64 (fma.f64 (cosh.f64 x) x (*.f64 (sinh.f64 x) x)) (*.f64 #s(literal 2 binary64) (neg.f64 x)))) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) (*.f64 (fma.f64 (cosh.f64 x) x (*.f64 x (sinh.f64 x))) (*.f64 #s(literal 2 binary64) (neg.f64 x)))) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 x) (*.f64 (neg.f64 (exp.f64 x)) (*.f64 #s(literal 2 binary64) (neg.f64 x)))) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (neg.f64 x)))
(/.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (neg.f64 x)))) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) x))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (*.f64 (exp.f64 x) #s(literal -1 binary64)) x)) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) x)) (*.f64 x x))
(/.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 (fma.f64 (/.f64 (cosh.f64 x) x) x (sinh.f64 x)) x)) (*.f64 x x))
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x x) (*.f64 (fma.f64 (cosh.f64 x) x (*.f64 (sinh.f64 x) x)) x)) (*.f64 x (*.f64 x x)))
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x x) (*.f64 (fma.f64 (cosh.f64 x) x (*.f64 x (sinh.f64 x))) x)) (*.f64 x (*.f64 x x)))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (neg.f64 (exp.f64 x)) x)) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 (*.f64 (exp.f64 x) #s(literal -1 binary64)) (neg.f64 x))) (*.f64 x x))
(/.f64 (+.f64 x (*.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) (neg.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (+.f64 x (*.f64 (fma.f64 (/.f64 (cosh.f64 x) x) x (sinh.f64 x)) (neg.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (fma.f64 (cosh.f64 x) x (*.f64 (sinh.f64 x) x)) (neg.f64 x))) (*.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (fma.f64 (cosh.f64 x) x (*.f64 x (sinh.f64 x))) (neg.f64 x))) (*.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 (neg.f64 (exp.f64 x)) (neg.f64 x))) (*.f64 x x))
(/.f64 (+.f64 x (*.f64 (exp.f64 x) (neg.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 (neg.f64 (cosh.f64 x)) x (*.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (neg.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x (*.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) x))) (*.f64 (*.f64 #s(literal 2 binary64) x) x))
(/.f64 (fma.f64 (cosh.f64 x) x (*.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) x)) (*.f64 x x))
(/.f64 (fma.f64 (*.f64 (exp.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 x)) (*.f64 #s(literal 2 binary64) (neg.f64 x))) (*.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) (neg.f64 x))))
(/.f64 (fma.f64 (*.f64 (exp.f64 x) #s(literal -1 binary64)) x (*.f64 #s(literal -1 binary64) (neg.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 (*.f64 (exp.f64 x) #s(literal -1 binary64)) (neg.f64 x) (*.f64 #s(literal 1 binary64) (neg.f64 x))) (*.f64 x x))
(/.f64 (fma.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) (*.f64 #s(literal 2 binary64) (neg.f64 x)) (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 #s(literal 2 binary64) (neg.f64 x))))
(/.f64 (fma.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) x (*.f64 #s(literal -1 binary64) x)) (*.f64 x x))
(/.f64 (fma.f64 (fma.f64 (/.f64 (cosh.f64 x) x) x (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (neg.f64 x)) (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 #s(literal 2 binary64) (neg.f64 x))))
(/.f64 (fma.f64 (fma.f64 (/.f64 (cosh.f64 x) x) x (sinh.f64 x)) x (*.f64 #s(literal -1 binary64) x)) (*.f64 x x))
(/.f64 (fma.f64 (fma.f64 (cosh.f64 x) x (*.f64 (sinh.f64 x) x)) (*.f64 #s(literal 2 binary64) (neg.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (neg.f64 x))))
(/.f64 (fma.f64 (fma.f64 (cosh.f64 x) x (*.f64 (sinh.f64 x) x)) x (*.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) x))
(/.f64 (fma.f64 (fma.f64 (cosh.f64 x) x (*.f64 (sinh.f64 x) x)) (neg.f64 x) (*.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (neg.f64 x)))
(/.f64 (fma.f64 (fma.f64 (cosh.f64 x) x (*.f64 x (sinh.f64 x))) (*.f64 #s(literal 2 binary64) (neg.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (neg.f64 x))))
(/.f64 (fma.f64 (fma.f64 (cosh.f64 x) x (*.f64 x (sinh.f64 x))) x (*.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) x))
(/.f64 (fma.f64 (fma.f64 (cosh.f64 x) x (*.f64 x (sinh.f64 x))) (neg.f64 x) (*.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (neg.f64 x)))
(/.f64 (fma.f64 (neg.f64 (exp.f64 x)) (*.f64 #s(literal 2 binary64) (neg.f64 x)) (*.f64 #s(literal 2 binary64) (neg.f64 x))) (*.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) (neg.f64 x))))
(/.f64 (fma.f64 (neg.f64 (exp.f64 x)) (neg.f64 x) (*.f64 #s(literal 1 binary64) (neg.f64 x))) (*.f64 x x))
(/.f64 (fma.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (neg.f64 x)) (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 #s(literal 2 binary64) (neg.f64 x))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64))) (neg.f64 x))
(/.f64 (+.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x #s(literal 0 binary64)))) x)
(/.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (cosh.f64 x) x) x (sinh.f64 x))) x)
(/.f64 (+.f64 (fma.f64 (/.f64 (cosh.f64 x) x) x (sinh.f64 x)) #s(literal -1 binary64)) x)
(/.f64 (fma.f64 (exp.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (-.f64 (fma.f64 (/.f64 (cosh.f64 x) x) x (sinh.f64 x)) #s(literal 1 binary64)) x)
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 x) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (*.f64 (exp.f64 x) #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (neg.f64 x)))
(/.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (exp.f64 (+.f64 x #s(literal 0 binary64))))) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) x))
(/.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (fma.f64 (/.f64 (cosh.f64 x) x) x (sinh.f64 x)))) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) x))
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (fma.f64 (cosh.f64 x) x (*.f64 (sinh.f64 x) x)))) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (fma.f64 (cosh.f64 x) x (*.f64 x (sinh.f64 x))))) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 x) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (neg.f64 (exp.f64 x)))) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (neg.f64 x)))
(/.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (exp.f64 x))) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) x))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 x (*.f64 (exp.f64 x) #s(literal -1 binary64)))) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 x (exp.f64 (+.f64 x #s(literal 0 binary64))))) (*.f64 x x))
(/.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 x (fma.f64 (/.f64 (cosh.f64 x) x) x (sinh.f64 x)))) (*.f64 x x))
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x x) (*.f64 x (fma.f64 (cosh.f64 x) x (*.f64 (sinh.f64 x) x)))) (*.f64 x (*.f64 x x)))
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x x) (*.f64 x (fma.f64 (cosh.f64 x) x (*.f64 x (sinh.f64 x))))) (*.f64 x (*.f64 x x)))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 x (neg.f64 (exp.f64 x)))) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 (exp.f64 x) x)) (*.f64 x x))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 (exp.f64 x) #s(literal -1 binary64)))) (*.f64 x x))
(/.f64 (+.f64 x (*.f64 (neg.f64 x) (exp.f64 (+.f64 x #s(literal 0 binary64))))) (*.f64 (neg.f64 x) x))
(/.f64 (+.f64 x (*.f64 (neg.f64 x) (fma.f64 (/.f64 (cosh.f64 x) x) x (sinh.f64 x)))) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (neg.f64 x) (fma.f64 (cosh.f64 x) x (*.f64 (sinh.f64 x) x)))) (*.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (neg.f64 x) (fma.f64 (cosh.f64 x) x (*.f64 x (sinh.f64 x))))) (*.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 (neg.f64 x) (neg.f64 (exp.f64 x)))) (*.f64 x x))
(/.f64 (+.f64 x (*.f64 (neg.f64 x) (exp.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 (neg.f64 (cosh.f64 x)) x (*.f64 (neg.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) x) x))
(/.f64 (fma.f64 (cosh.f64 x) x (*.f64 x (-.f64 (sinh.f64 x) #s(literal 1 binary64)))) (*.f64 x x))
(/.f64 (fma.f64 (*.f64 (exp.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) (neg.f64 x))))
(/.f64 (fma.f64 (*.f64 (exp.f64 x) #s(literal -1 binary64)) x (*.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 (*.f64 (exp.f64 x) #s(literal -1 binary64)) (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (fma.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) (*.f64 #s(literal 2 binary64) (neg.f64 x)) (*.f64 x #s(literal 2 binary64))) (*.f64 x (*.f64 #s(literal 2 binary64) (neg.f64 x))))
(/.f64 (fma.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) x (*.f64 x #s(literal -1 binary64))) (*.f64 x x))
(/.f64 (fma.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) (neg.f64 x) x) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 (fma.f64 (/.f64 (cosh.f64 x) x) x (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (neg.f64 x)) (*.f64 x #s(literal 2 binary64))) (*.f64 x (*.f64 #s(literal 2 binary64) (neg.f64 x))))
(/.f64 (fma.f64 (fma.f64 (/.f64 (cosh.f64 x) x) x (sinh.f64 x)) x (*.f64 x #s(literal -1 binary64))) (*.f64 x x))
(/.f64 (fma.f64 (fma.f64 (/.f64 (cosh.f64 x) x) x (sinh.f64 x)) (neg.f64 x) x) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 (fma.f64 (cosh.f64 x) x (*.f64 (sinh.f64 x) x)) (*.f64 #s(literal 2 binary64) (neg.f64 x)) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (neg.f64 x))))
(/.f64 (fma.f64 (fma.f64 (cosh.f64 x) x (*.f64 (sinh.f64 x) x)) x (*.f64 (*.f64 x x) #s(literal -1 binary64))) (*.f64 (*.f64 x x) x))
(/.f64 (fma.f64 (fma.f64 (cosh.f64 x) x (*.f64 (sinh.f64 x) x)) (neg.f64 x) (*.f64 (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (neg.f64 x)))
(/.f64 (fma.f64 (fma.f64 (cosh.f64 x) x (*.f64 x (sinh.f64 x))) (*.f64 #s(literal 2 binary64) (neg.f64 x)) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (neg.f64 x))))
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(+.f64 (expm1.f64 x) (*.f64 (expm1.f64 x) #s(literal 0 binary64)))
(+.f64 (expm1.f64 x) (*.f64 #s(literal 0 binary64) (expm1.f64 x)))
(+.f64 (exp.f64 x) #s(literal -1 binary64))
(*.f64 (exp.f64 x) (exp.f64 (*.f64 x #s(literal 0 binary64))))
(*.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal 0 binary64) x)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) x)
(pow.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal -2 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal -2 binary64))) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (+.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal -2 binary64))
(/.f64 (+.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) #s(literal -4 binary64))
(/.f64 (fabs.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(neg.f64 (neg.f64 (exp.f64 x)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64) (cosh.f64 x))
(fma.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (cosh.f64 x))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 x))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64) (sinh.f64 x))
(fma.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x))
(fma.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) #s(literal 1 binary64)) (sinh.f64 x))
(sqrt.f64 (exp.f64 (+.f64 x x)))
(-.f64 (sinh.f64 x) (neg.f64 (cosh.f64 x)))
(-.f64 (cosh.f64 x) (sinh.f64 (*.f64 x #s(literal -1 binary64))))
(-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(fabs.f64 (-.f64 (neg.f64 (cosh.f64 x)) (sinh.f64 x)))
(fabs.f64 (neg.f64 (exp.f64 x)))
(fabs.f64 (exp.f64 x))
(exp.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 x)
(+.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (cosh.f64 x))
(+.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (sinh.f64 x))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 4 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 4 binary64)))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
x
#s(literal 1 binary64)

eval64.0ms (4.6%)

Memory
5.2MiB live, 147.4MiB allocated; 14ms collecting garbage
Compiler

Compiled 9 863 to 1 796 computations (81.8% saved)

prune13.0ms (1%)

Memory
-15.0MiB live, 30.8MiB allocated; 4ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New6614665
Fresh000
Picked101
Done000
Total6624666
Accuracy
100.0%
Counts
666 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (expm1.f64 x) x)
▶71.8%
#s(approx (/ (- (exp x) 1) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)))))))
▶55.5%
#s(approx (/ (- (exp x) 1) x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
▶55.5%
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
Compiler

Compiled 44 to 36 computations (18.2% saved)

series10.0ms (0.7%)

Memory
25.8MiB live, 25.8MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095525
Stop Event
1×iter-limit
Counts
18 → 32
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- (exp x) 1) x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(approx (/ (- (exp x) 1) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)))
(+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))
#s(literal 1/6 binary64)
(*.f64 #s(literal 1/24 binary64) x)
#s(literal 1/24 binary64)
(/.f64 (expm1.f64 x) x)
(expm1.f64 x)
Outputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))
#s(approx (/ (- (exp x) 1) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)))))))
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx x x)
#s(approx (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))
#s(approx (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))))))
#s(approx (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) #s(literal 1/2 binary64))
#s(approx (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))
#s(approx (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)))))
#s(approx (* x (+ 1/6 (* 1/24 x))) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (* x (+ 1/6 (* 1/24 x))) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))))
#s(approx (+ 1/6 (* 1/24 x)) #s(literal 1/6 binary64))
#s(approx (+ 1/6 (* 1/24 x)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)))
#s(approx (* 1/24 x) (*.f64 #s(literal 1/24 binary64) x))
#s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
#s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))))))))
#s(approx (/ (- (exp x) 1) x) (/.f64 (expm1.f64 x) x))
#s(approx (+ 1 (* 1/2 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))))
#s(approx (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (+ 1/6 (* 1/24 x)) (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1/24 binary64)))))
#s(approx (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)) #s(literal 1/24 binary64)))))
Calls

3 calls:

TimeVariablePoint
2.0ms
x
inf
2.0ms
x
-inf
1.0ms
x
0

rewrite98.0ms (7.1%)

Memory
-13.6MiB live, 177.0MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021101
030101
188101
2293101
31123101
0407387
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
18 → 559
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- (exp x) 1) x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(approx (/ (- (exp x) 1) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)))
(+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))
#s(literal 1/6 binary64)
(*.f64 #s(literal 1/24 binary64) x)
#s(literal 1/24 binary64)
(/.f64 (expm1.f64 x) x)
(expm1.f64 x)
Outputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(/.f64 (+.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) x)))
(neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(neg.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 0 binary64))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64))
(neg.f64 (*.f64 #s(literal -1/2 binary64) x))
#s(literal 1/2 binary64)
x
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 (+.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64)) x)))
(neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
(neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64)) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) (*.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64))
(-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x)))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x)) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x) #s(literal -1 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64)) x))
(+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) x) x) x))
(+.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #s(literal 0 binary64))
(+.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64)) x)))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64)) (neg.f64 x))
(*.f64 (neg.f64 x) (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64)))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))
(neg.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64)) x))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) x) x) x))
(fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x))
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x))
(fma.f64 x (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) x) x) x))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
(fma.f64 x (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x))
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) (*.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x)))
(+.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) x) x) x))
(+.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) x) x) x))
(+.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) x) x) x))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x))
(neg.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) (neg.f64 x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 x) (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/6 binary64) x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 #s(literal 1/24 binary64) x) (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)))
(fma.f64 x (*.f64 #s(literal 1/24 binary64) x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) (*.f64 #s(literal -1/6 binary64) x))
(-.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))
(-.f64 (*.f64 #s(literal 1/6 binary64) x) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)))
(-.f64 (*.f64 #s(literal 1/6 binary64) x) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))
(-.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x))
(+.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x))
(+.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/6 binary64) x))
(+.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) x) x) (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) x) x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
(+.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x))
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(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64)) #s(literal -4 binary64)) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64)) #s(literal -4 binary64)) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal -2 binary64)) #s(literal -8 binary64)) #s(literal -8 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 8 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -2 binary64)) #s(literal -8 binary64)) #s(literal -8 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 8 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal -4 binary64))
(/.f64 (*.f64 (*.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal -4 binary64))
(/.f64 (*.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (expm1.f64 x) #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (expm1.f64 x) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (expm1.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 (expm1.f64 x)) #s(literal 1 binary64)))
(neg.f64 (*.f64 (expm1.f64 x) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (expm1.f64 x)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64) (+.f64 (cosh.f64 x) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 (expm1.f64 x) #s(literal 1 binary64) (*.f64 (expm1.f64 x) #s(literal 0 binary64)))
(fma.f64 (expm1.f64 x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (expm1.f64 x)))
(fma.f64 #s(literal 1 binary64) (expm1.f64 x) (*.f64 (expm1.f64 x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (expm1.f64 x) (*.f64 #s(literal 0 binary64) (expm1.f64 x)))
(fma.f64 (exp.f64 x) (exp.f64 (*.f64 x #s(literal 0 binary64))) #s(literal -1 binary64))
(fma.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))
(expm1.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)))
(expm1.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64)))
(expm1.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(expm1.f64 x)
(-.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) (sinh.f64 (neg.f64 x)))
(-.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(-.f64 (sinh.f64 x) (-.f64 #s(literal 1 binary64) (cosh.f64 x)))
(-.f64 (cosh.f64 x) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal -1 binary64)))
(-.f64 (cosh.f64 x) (+.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(-.f64 (cosh.f64 x) (neg.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64))))
(-.f64 (expm1.f64 x) #s(literal 0 binary64))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) (sinh.f64 x))
(+.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x))
(+.f64 #s(literal -1 binary64) (exp.f64 x))
(+.f64 (sinh.f64 x) (+.f64 (cosh.f64 x) #s(literal -1 binary64)))
(+.f64 (sinh.f64 x) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (expm1.f64 x) (*.f64 (expm1.f64 x) #s(literal 0 binary64)))
(+.f64 (expm1.f64 x) (*.f64 #s(literal 0 binary64) (expm1.f64 x)))
(+.f64 (exp.f64 x) #s(literal -1 binary64))

eval57.0ms (4.2%)

Memory
10.9MiB live, 103.0MiB allocated; 5ms collecting garbage
Compiler

Compiled 9 564 to 1 847 computations (80.7% saved)

prune15.0ms (1.1%)

Memory
-22.2MiB live, 29.5MiB allocated; 5ms collecting garbage
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New5753578
Fresh000
Picked224
Done000
Total5775582
Accuracy
100.0%
Counts
582 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (expm1.f64 x) x)
▶71.8%
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
▶55.5%
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
▶55.4%
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
✓55.5%
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
Compiler

Compiled 60 to 47 computations (21.7% saved)

series9.0ms (0.7%)

Memory
20.5MiB live, 20.5MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093413
Stop Event
1×iter-limit
Counts
16 → 27
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ 1 (* 1/2 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
x
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
#s(literal 1/6 binary64)
Outputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))
#s(approx (/ (- (exp x) 1) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)))))))
#s(approx x x)
#s(approx (+ 1/2 (/ 1 x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (+ 1/2 (/ 1 x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)))))
#s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64))
#s(approx (+ (* 1/24 x) 1/6) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (/.f64 (expm1.f64 x) x))
#s(approx (+ 1 (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ 1 (* 1/2 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ 1/2 (/ 1 x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x))
#s(approx (+ (* 1/24 x) 1/6) (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1/24 binary64)))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)) #s(literal 1/24 binary64)))))
Calls

3 calls:

TimeVariablePoint
3.0ms
x
-inf
1.0ms
x
inf
1.0ms
x
0

rewrite129.0ms (9.4%)

Memory
-27.3MiB live, 176.1MiB allocated; 71ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021106
032107
18595
227595
3190595
0457289
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
16 → 397
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ 1 (* 1/2 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
x
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
#s(literal 1/6 binary64)
Outputs
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
#s(approx (+ 1 (* 1/2 x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 x)) (*.f64 (neg.f64 x) #s(literal -1 binary64))) (neg.f64 x))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 (neg.f64 x) #s(literal 1 binary64))) x)
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (+.f64 (neg.f64 x) x)) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x (fma.f64 #s(literal -1 binary64) (neg.f64 x) (neg.f64 x))) (neg.f64 x))
(/.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (neg.f64 x) (neg.f64 x))) (neg.f64 x))
(/.f64 (+.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 x) (neg.f64 x)) (fma.f64 #s(literal -1 binary64) (neg.f64 x) (neg.f64 x))) (neg.f64 x))
(/.f64 (+.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) (fma.f64 #s(literal -1 binary64) (neg.f64 x) (neg.f64 x))) (neg.f64 x))
(/.f64 (+.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 x) (neg.f64 x))) x)
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) x)
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) (neg.f64 x))
(/.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))) (neg.f64 x))
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(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) #s(literal -1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x))
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x))
(fma.f64 #s(literal 1/2 binary64) x (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) #s(literal -1 binary64)))
(fma.f64 x (+.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) #s(literal 0 binary64))
(fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 x (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(fma.f64 x (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x))
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) #s(literal -1 binary64)))
(-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64)) x))
(+.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (neg.f64 x)) (neg.f64 x)) #s(literal 1 binary64))
(+.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) x) #s(literal 1 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x))
(+.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #s(literal 0 binary64))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64)) x)))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 x))
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)
(neg.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/6 binary64) x (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)))
(fma.f64 x (*.f64 #s(literal 1/24 binary64) x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
(fma.f64 x (*.f64 #s(literal 1/24 binary64) x) (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)))
(fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/6 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(-.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 #s(literal 1/6 binary64) x))
(+.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/6 binary64) x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x))
(neg.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64))
(-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))
(+.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (neg.f64 (*.f64 #s(literal -1/24 binary64) x)))
(+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))
#s(literal 1/24 binary64)
#s(literal 1/6 binary64)

eval60.0ms (4.4%)

Memory
-13.7MiB live, 128.5MiB allocated; 12ms collecting garbage
Compiler

Compiled 8 986 to 1 591 computations (82.3% saved)

prune8.0ms (0.6%)

Memory
26.3MiB live, 26.2MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New3624366
Fresh000
Picked123
Done022
Total3638371
Accuracy
100.0%
Counts
371 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (expm1.f64 x) x)
✓71.8%
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
▶68.4%
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓55.5%
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
▶55.4%
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)))
▶55.4%
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 x #s(approx (+ 1/2 (/ 1 x)) (/.f64 #s(literal 1 binary64) x)))))
▶3.8%
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)))
✓55.5%
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
Compiler

Compiled 120 to 91 computations (24.2% saved)

series10.0ms (0.7%)

Memory
-30.4MiB live, 20.5MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093411
Stop Event
1×iter-limit
Counts
21 → 27
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ 1 (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 x #s(approx (+ 1/2 (/ 1 x)) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ 1 (* 1/2 x)) (*.f64 x #s(approx (+ 1/2 (/ 1 x)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x #s(approx (+ 1/2 (/ 1 x)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ 1/2 (/ 1 x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)))
#s(approx (+ 1 (* 1/2 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
#s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
Outputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))
#s(approx (/ (- (exp x) 1) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)))))))
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx x x)
#s(approx (+ 1/2 (/ 1 x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (+ 1/2 (/ 1 x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)))))
#s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64))
#s(approx (+ (* 1/24 x) 1/6) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (/.f64 (expm1.f64 x) x))
#s(approx (+ 1 (* 1/2 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ 1/2 (/ 1 x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x))
#s(approx (+ (* 1/24 x) 1/6) (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1/24 binary64)))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)) #s(literal 1/24 binary64)))))
Calls

3 calls:

TimeVariablePoint
1.0ms
x
-inf
1.0ms
x
inf
1.0ms
x
0

rewrite115.0ms (8.3%)

Memory
23.0MiB live, 207.0MiB allocated; 37ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031192
040192
190192
2266186
31169186
04032165
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
21 → 255
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ 1 (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 x #s(approx (+ 1/2 (/ 1 x)) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ 1 (* 1/2 x)) (*.f64 x #s(approx (+ 1/2 (/ 1 x)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x #s(approx (+ 1/2 (/ 1 x)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ 1/2 (/ 1 x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)))
#s(approx (+ 1 (* 1/2 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
#s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
Outputs
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ 1 (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (neg.f64 x) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (neg.f64 x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(neg.f64 (*.f64 #s(literal -1/2 binary64) x))
#s(literal 1/2 binary64)
x
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 #s(approx (+ 1/2 (/ 1 x)) (/.f64 #s(literal 1 binary64) x)) x)))
#s(approx (+ 1 (* 1/2 x)) (*.f64 #s(approx (+ 1/2 (/ 1 x)) (/.f64 #s(literal 1 binary64) x)) x))
(*.f64 #s(approx (+ 1/2 (/ 1 x)) (/.f64 #s(literal 1 binary64) x)) x)
(*.f64 x #s(approx (+ 1/2 (/ 1 x)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ 1/2 (/ 1 x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal -1 binary64))
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) x))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) x #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) x))
(/.f64 (fma.f64 #s(literal -2 binary64) x (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) x))
(/.f64 (fma.f64 #s(literal -2 binary64) x (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 0 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) x))
(/.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 0 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) x) x))
(/.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 (*.f64 x #s(literal 2 binary64)) x))
(/.f64 (+.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 0 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(/.f64 (*.f64 x (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) x) (neg.f64 x))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 x (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 x (*.f64 x x))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 0 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 0 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 0 binary64) x))
#s(literal 1 binary64)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
#s(approx (+ 1 (* 1/2 x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 2 binary64) (*.f64 (neg.f64 x) #s(literal 0 binary64))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))) #s(literal 2 binary64) (*.f64 (neg.f64 x) #s(literal 0 binary64))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) #s(literal 2 binary64) (*.f64 (neg.f64 x) #s(literal 0 binary64))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64) (*.f64 x #s(literal 0 binary64))) (*.f64 x #s(literal 2 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) x)
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) (neg.f64 x))
(/.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))) (neg.f64 x))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) (neg.f64 x))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) x)
(neg.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x #s(literal 0 binary64))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) x))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (neg.f64 x) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) x))) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 2 binary64) x))
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) x))) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) x (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 2 binary64) x))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) x))) (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) (neg.f64 x)))
(/.f64 (fma.f64 #s(literal -2 binary64) x (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) x))
(/.f64 (+.f64 #s(literal -4 binary64) (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 x) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (*.f64 #s(literal -1/2 binary64) x))) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (neg.f64 x)))
(/.f64 (fma.f64 #s(literal -2 binary64) x (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) x))
(/.f64 (+.f64 #s(literal -4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 x) (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1/2 binary64) x))) (*.f64 (*.f64 #s(literal 2 binary64) x) (neg.f64 x)))
(/.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 #s(literal 2 binary64) x) x))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 x) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) x))) (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 x)))
(/.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x #s(literal 2 binary64)) x))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 #s(literal -1/2 binary64) x))) (*.f64 x x))
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 x (*.f64 #s(literal -1/2 binary64) x))) (*.f64 (neg.f64 x) x))
(/.f64 (+.f64 #s(literal 2 binary64) x) (*.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64) (*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) #s(literal -2 binary64))) (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 2 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) #s(literal -2 binary64))) (*.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) (neg.f64 x))))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) x)))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 (neg.f64 x) (*.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 x x))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (*.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))) (*.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 (neg.f64 x) #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 2 binary64) (neg.f64 x)) (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 #s(literal 2 binary64) (neg.f64 x))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 2 binary64) x) (*.f64 x #s(literal 2 binary64))) (*.f64 x (*.f64 #s(literal 2 binary64) x)))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))) #s(literal 4 binary64))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 x))))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) x))) (*.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (neg.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) x))) (*.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) x))) (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) x))
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (*.f64 #s(literal -1/2 binary64) x))) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) x))
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (neg.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1/2 binary64) x))) (*.f64 (*.f64 #s(literal 2 binary64) x) x))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 #s(literal 2 binary64) x) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) x))) (*.f64 (*.f64 x #s(literal 2 binary64)) x))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 x (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) x)))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 2 binary64) x)) (*.f64 (neg.f64 x) #s(literal -2 binary64))) (*.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 2 binary64) (neg.f64 x))) (*.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) x) (*.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (neg.f64 x)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) x)))) (*.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 2 binary64) x)) (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 2 binary64) (neg.f64 x))) (*.f64 x #s(literal 2 binary64))) (*.f64 x (*.f64 #s(literal 2 binary64) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (neg.f64 x)) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 x)) x) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) x)))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)) #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 x))) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 x))))
(/.f64 (-.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64))) x)
(/.f64 (neg.f64 (+.f64 (neg.f64 x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 x)))) (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 x) (neg.f64 x))) (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (+.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (-.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 #s(literal -1/2 binary64) x)))) (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (-.f64 x (*.f64 x (*.f64 #s(literal -1/2 binary64) x)))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (+.f64 (neg.f64 x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) x))
(/.f64 (+.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 #s(literal -1/2 binary64) x))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 x (*.f64 x (*.f64 #s(literal -1/2 binary64) x))) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (*.f64 x x))
(/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal -1/2 binary64)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (-.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x)) x) #s(literal 1 binary64)))
(neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x) x))
(fma.f64 (*.f64 x x) #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x) (*.f64 (*.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x) x))
(fma.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x) x))
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (fma.f64 (*.f64 x x) #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (-.f64 (*.f64 (*.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x) x) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x) x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x (*.f64 (*.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x) x))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (fma.f64 (*.f64 x x) #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (-.f64 (*.f64 (*.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x) x) #s(literal -1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x) x))
(fma.f64 #s(literal 1/2 binary64) x (fma.f64 (*.f64 x x) #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (-.f64 (*.f64 (*.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x) x) #s(literal -1 binary64)))
(fma.f64 x (*.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(fma.f64 x (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x) x))
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x) x) #s(literal -1 binary64)))
(-.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x)) x))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x) x)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 (*.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(+.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(+.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #s(literal 0 binary64))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (*.f64 x x) #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (*.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x) x) #s(literal -1 binary64)))
(+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (*.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x) x))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x)) x)))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x))
(neg.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x)))
(fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(fma.f64 x #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(-.f64 (*.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64))))
(+.f64 (*.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (neg.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)))) x))
(+.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (neg.f64 x) #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x))
#s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)

eval33.0ms (2.4%)

Memory
25.1MiB live, 71.8MiB allocated; 5ms collecting garbage
Compiler

Compiled 8 148 to 1 438 computations (82.4% saved)

prune11.0ms (0.8%)

Memory
-26.1MiB live, 20.2MiB allocated; 3ms collecting garbage
Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New3101311
Fresh000
Picked044
Done044
Total3109319
Accuracy
100.0%
Counts
319 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (expm1.f64 x) x)
✓71.8%
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓68.4%
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓55.5%
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
✓55.4%
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)))
27.7%
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 x #s(approx (+ 1/2 (/ 1 x)) (/.f64 x (*.f64 x x))))))
✓55.4%
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 x #s(approx (+ 1/2 (/ 1 x)) (/.f64 #s(literal 1 binary64) x)))))
✓3.8%
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)))
✓55.5%
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
Compiler

Compiled 146 to 107 computations (26.7% saved)

regimes24.0ms (1.8%)

Memory
2.1MiB live, 48.3MiB allocated; 2ms collecting garbage
Accuracy

Total -33.6b remaining (-43.5%)

Threshold costs -33.6b (-43.5%)

Counts
2 → 1
8 → 1
9 → 1
13 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)))
Outputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
Call 2
Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 x #s(approx (+ 1/2 (/ 1 x)) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 x #s(approx (+ 1/2 (/ 1 x)) (/.f64 x (*.f64 x x))))))
Outputs
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
Call 3
Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 x #s(approx (+ 1/2 (/ 1 x)) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 x #s(approx (+ 1/2 (/ 1 x)) (/.f64 x (*.f64 x x))))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
Outputs
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
Call 4
Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 x #s(approx (+ 1/2 (/ 1 x)) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 x #s(approx (+ 1/2 (/ 1 x)) (/.f64 x (*.f64 x x))))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 (expm1.f64 x) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)))))))
Outputs
(/.f64 (expm1.f64 x) x)
Calls

8 calls:

4.0ms
x
4.0ms
x
3.0ms
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
3.0ms
x
2.0ms
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Results
AccuracySegmentsBranch
55.5%1(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
55.5%1x
55.5%1(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
55.5%1x
68.4%1(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
68.4%1x
100.0%1(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
100.0%1x
Compiler

Compiled 232 to 90 computations (61.2% saved)

derivations44.0ms (3.2%)

Memory
2.2MiB live, 54.8MiB allocated; 4ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 43 to 21 computations (51.2% saved)

preprocess33.0ms (2.4%)

Memory
23.6MiB live, 69.9MiB allocated; 3ms collecting garbage
Compiler

Compiled 71 to 38 computations (46.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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