Kahan's exp quotient

Time bar (total: 1.6s)

start0.0ms (0.0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze1.0ms (0.1%)

Memory
3.4MiB live, 3.4MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%100.0%0.0%0.0%0.0%0.0%0
0.0%0.0%100.0%0.0%0.0%0.0%0.0%1
50.0%50.0%50.0%0.0%0.0%0.0%0.0%2
75.0%75.0%25.0%0.0%0.0%0.0%0.0%3
87.5%87.5%12.5%0.0%0.0%0.0%0.0%4
93.8%93.7%6.2%0.0%0.0%0.0%0.0%5
96.9%96.8%3.1%0.0%0.0%0.0%0.0%6
98.4%98.4%1.6%0.0%0.0%0.0%0.0%7
99.2%99.2%0.8%0.0%0.0%0.0%0.0%8
99.6%99.6%0.4%0.0%0.0%0.0%0.0%9
99.8%99.8%0.2%0.0%0.0%0.0%0.0%10
99.9%99.9%0.1%0.0%0.0%0.0%0.0%11
100.0%99.9%0.0%0.0%0.0%0.0%0.0%12
Compiler

Compiled 8 to 5 computations (37.5% saved)

sample557.0ms (35.7%)

Memory
38.6MiB live, 848.7MiB allocated; 271ms collecting garbage
Samples
380.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 168.0ms
ival-div!: 97.0ms (57.7% of total)
ival-expm1: 69.0ms (41.1% of total)
adjust: 2.0ms (1.2% of total)
Bogosity

preprocess34.0ms (2.2%)

Memory
-38.1MiB live, 53.7MiB allocated; 9ms 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
▶54.8%
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Compiler

Compiled 12 to 10 computations (16.7% saved)

sample0.0ms (0.0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
Outputs
#s(literal 1 binary64)
Samples
0.0ms1×0valid
Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series8.0ms (0.5%)

Memory
17.4MiB live, 17.4MiB allocated; 0ms 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

rewrite155.0ms (9.9%)

Memory
-22.0MiB live, 230.8MiB allocated; 69ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0514
0814
14514
217514
392714
0407710
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
5 → 537
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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (exp.f64 x) x))) (/.f64 (exp.f64 x) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (expm1.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 x) x))) (/.f64 (exp.f64 x) 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) (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 (+.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))))
(/.f64 (fma.f64 (fma.f64 (cosh.f64 x) x (*.f64 x (sinh.f64 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 x (sinh.f64 x))) (neg.f64 x) (*.f64 (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (neg.f64 x)))
(/.f64 (fma.f64 (neg.f64 (exp.f64 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 (neg.f64 (exp.f64 x)) (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (fma.f64 (exp.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 (exp.f64 x) (neg.f64 x) x) (*.f64 x (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) #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 (exp.f64 x) x) (*.f64 x x)) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 x)) (neg.f64 x)) (*.f64 (neg.f64 x) (sinh.f64 x))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (exp.f64 x))) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 (exp.f64 x) x)) (*.f64 x (neg.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) (exp.f64 x))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 x) #s(literal -1 binary64)) #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 (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 (-.f64 (*.f64 (*.f64 (exp.f64 x) #s(literal -1 binary64)) (*.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 (exp.f64 x) #s(literal -1 binary64)) (neg.f64 x)) (*.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 x) #s(literal -1 binary64)) x) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (*.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 (-.f64 (*.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) (*.f64 #s(literal 2 binary64) x)) (*.f64 x #s(literal 2 binary64))) (*.f64 x (*.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) (neg.f64 x)) (*.f64 x #s(literal -1 binary64))) (*.f64 x (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) x) x) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (cosh.f64 x) x) x (sinh.f64 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 (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 (-.f64 (*.f64 (fma.f64 (/.f64 (cosh.f64 x) x) x (sinh.f64 x)) (*.f64 #s(literal 2 binary64) x)) (*.f64 x #s(literal 2 binary64))) (*.f64 x (*.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (cosh.f64 x) x) x (sinh.f64 x)) (neg.f64 x)) (*.f64 x #s(literal -1 binary64))) (*.f64 x (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (cosh.f64 x) x) x (sinh.f64 x)) x) x) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (fma.f64 (cosh.f64 x) x (*.f64 (sinh.f64 x) x)) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.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 (-.f64 (*.f64 (fma.f64 (cosh.f64 x) x (*.f64 (sinh.f64 x) x)) (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.f64 (fma.f64 (cosh.f64 x) x (*.f64 x (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
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(/.f64 (-.f64 (*.f64 (fma.f64 (cosh.f64 x) x (*.f64 x (sinh.f64 x))) (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x)))
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(*.f64 (sqrt.f64 (neg.f64 (exp.f64 x))) (sqrt.f64 (neg.f64 (exp.f64 x))))
(*.f64 (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) (sinh.f64 x))) (sinh.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))) (cosh.f64 x))
(*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.f64 x))
(*.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 (+.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 (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (cosh.f64 x))) (-.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))))
(/.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 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 x) (sinh.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.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 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64) (sinh.f64 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)))
(sqrt.f64 (exp.f64 (+.f64 x 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 (*.f64 (log.f64 (exp.f64 (+.f64 x x))) #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)

eval50.0ms (3.2%)

Memory
23.1MiB live, 113.9MiB allocated; 9ms collecting garbage
Compiler

Compiled 8 051 to 1 634 computations (79.7% saved)

prune12.0ms (0.8%)

Memory
-18.1MiB live, 28.5MiB allocated; 2ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New5425547
Fresh000
Picked101
Done000
Total5435548
Accuracy
100.0%
Counts
548 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶5.1%
(/.f64 (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x)
▶100.0%
(/.f64 (expm1.f64 x) x)
▶99.9%
(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
▶50.0%
#s(approx (/ (- (exp x) 1) x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
▶49.6%
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
Compiler

Compiled 80 to 64 computations (20.0% saved)

sample0.0ms (0.0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
1/2
Outputs
#s(literal 1 binary64)
#s(literal 1/2 binary64)
Samples
0.0ms1×0valid
Compiler

Compiled 4 to 4 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series6.0ms (0.4%)

Memory
13.9MiB live, 13.9MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049185
Stop Event
1×iter-limit
Counts
15 → 18
Calls
Call 1
Inputs
(/.f64 (expm1.f64 x) x)
(expm1.f64 x)
x
#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)
(/.f64 (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x)
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
(/.f64 #s(literal 1 binary64) 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 (- (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 (* 1/2 x) (*.f64 #s(literal 1/2 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 (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (- (exp x) 1) x) (/.f64 (expm1.f64 x) x))
#s(approx (- (exp x) 1) (expm1.f64 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) (exp.f64 x))
#s(approx (+ 1 x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
Calls

3 calls:

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

rewrite203.0ms (13.0%)

Memory
13.6MiB live, 283.4MiB allocated; 113ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01869
02667
112767
246667
3207467
0442465
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
15 → 672
Calls
Call 1
Inputs
(/.f64 (expm1.f64 x) x)
(expm1.f64 x)
x
#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)
(/.f64 (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x)
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
(/.f64 #s(literal 1 binary64) x)
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (exp.f64 x) x))) (/.f64 (exp.f64 x) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (expm1.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 x) x))) (/.f64 (exp.f64 x) x))
(*.f64 (fma.f64 (neg.f64 x) (exp.f64 x) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (-.f64 (*.f64 (exp.f64 x) x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (expm1.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (expm1.f64 x)) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
(*.f64 (/.f64 (expm1.f64 x) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) x))
(*.f64 (expm1.f64 x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (exp.f64 x)) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 x) x) (*.f64 x x)) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 x)) (neg.f64 x)) (*.f64 (neg.f64 x) (sinh.f64 x))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (exp.f64 x))) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 (exp.f64 x) x)) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) (exp.f64 x))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (exp.f64 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)))
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(fma.f64 (cosh.f64 x) (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) (/.f64 (exp.f64 x) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (cosh.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (sinh.f64 x) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 x) (/.f64 #s(literal -1 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 (exp.f64 x) x))
(fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 (*.f64 (exp.f64 x) x) (*.f64 x x)) (/.f64 x (*.f64 x x)))
(-.f64 (/.f64 (-.f64 (cosh.f64 x) #s(literal 1 binary64)) x) (/.f64 (sinh.f64 (neg.f64 x)) x))
(-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (exp.f64 x) (neg.f64 x)))
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (cosh.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (sinh.f64 x) #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (exp.f64 x) x))
(+.f64 (/.f64 (cosh.f64 x) x) (+.f64 (/.f64 (sinh.f64 x) x) (/.f64 #s(literal -1 binary64) x)))
(+.f64 (/.f64 (cosh.f64 x) x) (-.f64 (/.f64 (sinh.f64 x) x) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 (cosh.f64 x) x) (*.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 (cosh.f64 x) x) (/.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) x))
(+.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)))
(*.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 (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 #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 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) 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))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(+.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))

eval82.0ms (5.2%)

Memory
22.1MiB live, 109.9MiB allocated; 19ms collecting garbage
Compiler

Compiled 10 454 to 1 793 computations (82.8% saved)

prune51.0ms (3.3%)

Memory
-29.1MiB live, 28.2MiB allocated; 66ms collecting garbage
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New6613664
Fresh000
Picked235
Done000
Total6636669
Accuracy
100.0%
Counts
669 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶5.1%
(/.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x)
✓100.0%
(/.f64 (expm1.f64 x) x)
✓99.9%
(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
▶49.5%
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (- (exp x) 1) x))
▶50.0%
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
✓49.6%
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
Compiler

Compiled 49 to 40 computations (18.4% saved)

sample0.0ms (0.0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1/2
1
-1
Outputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal -1 binary64)
Samples
0.0ms1×0valid
Compiler

Compiled 5 to 5 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series5.0ms (0.3%)

Memory
11.1MiB live, 11.1MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053184
Stop Event
1×iter-limit
Counts
13 → 18
Calls
Call 1
Inputs
#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))
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (- (exp x) 1) x))
(/.f64 #s(literal 1 binary64) x)
#s(approx (- (exp x) 1) x)
(/.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x)
(-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#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 x x)
#s(approx (/ 1 x) (/.f64 #s(literal 1 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) (+.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 (+ (* x 1/2) 1) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* x 1/2) 1) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (exp x) (exp.f64 x))
#s(approx (- x -1) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
Calls

3 calls:

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

rewrite152.0ms (9.8%)

Memory
-2.0MiB live, 189.2MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01665
02365
112463
243263
3189763
0404057
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
13 → 289
Calls
Call 1
Inputs
#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))
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (- (exp x) 1) x))
(/.f64 #s(literal 1 binary64) x)
#s(approx (- (exp x) 1) x)
(/.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x)
(-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
Outputs
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 1/2 binary64) x))
(/.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))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))
(neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(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 (*.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) (neg.f64 (*.f64 #s(literal -1/2 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 (neg.f64 #s(approx (- (exp x) 1) x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (- (exp x) 1) x)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 #s(approx (- (exp x) 1) x)) x))
(*.f64 (/.f64 #s(approx (- (exp x) 1) x) x) #s(literal 1 binary64))
(*.f64 #s(approx (- (exp x) 1) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (- (exp x) 1) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (exp x) 1) x) x))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(approx (- (exp x) 1) x) x))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 #s(approx (- (exp x) 1) x)))) (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) #s(approx (- (exp x) 1) x))) (neg.f64 (*.f64 #s(literal 2 binary64) x)))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(approx (- (exp x) 1) x) x)) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 #s(approx (- (exp x) 1) x)) #s(literal -1 binary64)) x)
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 #s(approx (- (exp x) 1) x))) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (*.f64 #s(literal 2 binary64) #s(approx (- (exp x) 1) x)) (*.f64 #s(literal 2 binary64) x))
(/.f64 (neg.f64 #s(approx (- (exp x) 1) x)) (neg.f64 x))
(/.f64 #s(approx (- (exp x) 1) x) x)
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (neg.f64 #s(approx (- (exp x) 1) x))))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (- (exp x) 1) x)))
(neg.f64 (*.f64 (neg.f64 #s(approx (- (exp x) 1) x)) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (- (exp x) 1) x)))
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(approx (- (exp x) 1) x) x)))
(neg.f64 (*.f64 #s(approx (- (exp x) 1) x) (/.f64 #s(literal -1 binary64) x)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 #s(approx (- (exp x) 1) x))))
(neg.f64 (/.f64 (neg.f64 #s(approx (- (exp x) 1) x)) x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)))
(*.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 (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))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) x))) (neg.f64 (neg.f64 (*.f64 (neg.f64 x) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) x) x))) (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 (/.f64 (fma.f64 (neg.f64 x) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) x) x) (neg.f64 x))
(/.f64 (/.f64 (-.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) x) x) x) x)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64)) x)
(/.f64 (-.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))) x)
(/.f64 (-.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (fma.f64 (neg.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) x (*.f64 #s(literal -1 binary64) (neg.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) x) (/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))) (-.f64 (/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) x) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) x) (/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) x) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) x) (/.f64 #s(literal -1 binary64) x)))))
(/.f64 (fma.f64 (neg.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) x (*.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (*.f64 (neg.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) (neg.f64 x)) (*.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (neg.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) x) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (-.f64 (neg.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64))) x)
(/.f64 (neg.f64 (fma.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal -1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) x)) (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) x) x)) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (neg.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (fma.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal -1 binary64)) x)
(/.f64 (-.f64 (*.f64 (/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) x) (/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) x) (/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) x) (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) x) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (fma.f64 (neg.f64 x) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) x) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) x) x) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) (neg.f64 x))
(/.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (-.f64 (neg.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (neg.f64 x) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(neg.f64 (/.f64 (-.f64 (neg.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)) x))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) x))
(fma.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64) (/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) x))
(fma.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (neg.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) x) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(fma.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) (/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) x))
(-.f64 (/.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) x) (*.f64 x x)) (/.f64 x (*.f64 x x)))
(-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (neg.f64 x)))
(-.f64 (/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) x) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) x))
(+.f64 (/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))
(*.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))) (-.f64 #s(literal -1 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64)) (pow.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (-.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (+.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)))
(neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))))
(fma.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(-.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (neg.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))))
(+.f64 (neg.f64 (neg.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))) #s(literal -1 binary64))
(+.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)))
(+.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(+.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))))
(+.f64 #s(literal -1 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (neg.f64 x))))
(neg.f64 (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 x #s(literal -1 binary64))
(+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal -1 binary64)

eval32.0ms (2.0%)

Memory
-14.9MiB live, 75.4MiB allocated; 11ms collecting garbage
Compiler

Compiled 5 066 to 888 computations (82.5% saved)

prune6.0ms (0.4%)

Memory
19.3MiB live, 19.3MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New2951296
Fresh000
Picked033
Done033
Total2957302
Accuracy
100.0%
Counts
302 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓5.1%
(/.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x)
✓100.0%
(/.f64 (expm1.f64 x) x)
✓99.9%
(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
✓49.5%
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (- (exp x) 1) x))
✓50.0%
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
▶3.7%
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x 1/2) 1) (*.f64 #s(literal 1/2 binary64) x)))
✓49.6%
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
Compiler

Compiled 65 to 52 computations (20.0% saved)

sample0.0ms (0.0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1/2
Outputs
#s(literal 1/2 binary64)
Samples
0.0ms1×0valid
Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series4.0ms (0.3%)

Memory
12.0MiB live, 12.0MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03379
Stop Event
1×iter-limit
Counts
5 → 8
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x 1/2) 1) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* x 1/2) 1) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
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 (/ (- (exp x) 1) x) (/.f64 (expm1.f64 x) x))
#s(approx (+ (* x 1/2) 1) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
Calls

3 calls:

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

rewrite121.0ms (7.8%)

Memory
-15.4MiB live, 172.4MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01130
01230
16530
222730
3106330
0405026
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
5 → 8
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x 1/2) 1) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* x 1/2) 1) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
Outputs
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x 1/2) 1) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* x 1/2) 1) (*.f64 #s(literal 1/2 binary64) x))
(*.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))
#s(literal 1/2 binary64)
x

eval1.0ms (0.1%)

Memory
3.2MiB live, 3.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 173 to 57 computations (67.1% saved)

prune2.0ms (0.1%)

Memory
5.7MiB live, 5.7MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New10010
Fresh000
Picked011
Done066
Total10717
Accuracy
100.0%
Counts
17 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓5.1%
(/.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x)
✓100.0%
(/.f64 (expm1.f64 x) x)
✓99.9%
(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
✓49.5%
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (- (exp x) 1) x))
✓50.0%
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
✓3.7%
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x 1/2) 1) (*.f64 #s(literal 1/2 binary64) x)))
✓49.6%
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
Compiler

Compiled 65 to 52 computations (20.0% saved)

regimes19.0ms (1.2%)

Memory
1.9MiB live, 47.8MiB allocated; 3ms collecting garbage
Counts
2 → 1
7 → 1
10 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* x 1/2) 1) (*.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 (+ (* x 1/2) 1) (*.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)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (- (exp x) 1) x))
(/.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x)
(/.f64 (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) 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 (+ (* x 1/2) 1) (*.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)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (- (exp x) 1) x))
(/.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x)
(/.f64 (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x)
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Outputs
(/.f64 (expm1.f64 x) x)
Calls

6 calls:

5.0ms
x
4.0ms
x
3.0ms
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
2.0ms
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
2.0ms
x
Results
AccuracySegmentsBranch
49.6%1(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
49.6%1x
50.0%1(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
50.0%1x
100.0%1(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
100.0%1x
Compiler

Compiled 114 to 54 computations (52.6% saved)

derivations31.0ms (2.0%)

Memory
0.7MiB live, 53.0MiB allocated; 8ms collecting garbage
Stop Event
1×done
Compiler

Compiled 23 to 12 computations (47.8% saved)

preprocess26.0ms (1.6%)

Memory
17.2MiB live, 62.1MiB allocated; 6ms collecting garbage
Compiler

Compiled 51 to 29 computations (43.1% saved)

end0.0ms (0.0%)

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

Profiling

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