Kahan's exp quotient

Time bar (total: 1.7s)

start0.0ms (0.0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze4.0ms (0.2%)

Memory
-44.9MiB live, 3.5MiB allocated; 3ms 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)

sample543.0ms (32.3%)

Memory
-3.3MiB live, 964.7MiB allocated; 268ms collecting garbage
Samples
353.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 149.0ms
ival-expm1: 99.0ms (66.5% of total)
ival-div!: 49.0ms (32.9% of total)
adjust: 1.0ms (0.7% of total)
Bogosity

preprocess36.0ms (2.2%)

Memory
-0.1MiB live, 45.3MiB allocated; 19ms 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
▶53.2%
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Compiler

Compiled 12 to 10 computations (16.7% saved)

sample0.0ms (0.0%)

Memory
0.5MiB live, 0.5MiB 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)

series11.0ms (0.7%)

Memory
43.3MiB live, 43.3MiB 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))
#s(literal 1 binary64)
(exp.f64 x)
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 (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

rewrite186.0ms (11.1%)

Memory
-9.8MiB live, 337.0MiB allocated; 67ms 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))
#s(literal 1 binary64)
(exp.f64 x)
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 (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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#s(literal 1 binary64)
(*.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

eval109.0ms (6.5%)

Memory
-23.5MiB live, 163.5MiB allocated; 28ms collecting garbage
Compiler

Compiled 8 053 to 1 636 computations (79.7% saved)

prune11.0ms (0.7%)

Memory
-8.7MiB live, 37.3MiB allocated; 4ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New5443547
Fresh000
Picked101
Done000
Total5453548
Accuracy
100.0%
Counts
548 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (expm1.f64 x) x)
▶51.1%
#s(approx (/ (- (exp x) 1) x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
▶51.0%
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
Compiler

Compiled 24 to 20 computations (16.7% saved)

sample0.0ms (0.0%)

Memory
0.7MiB live, 0.8MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1/2
1
Outputs
#s(literal 1/2 binary64)
#s(literal 1 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 (0.3%)

Memory
20.4MiB live, 20.4MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038128
Stop Event
1×iter-limit
Counts
9 → 12
Calls
Call 1
Inputs
(/.f64 (expm1.f64 x) x)
(expm1.f64 x)
#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)
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#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) 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))))
Calls

3 calls:

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

rewrite220.0ms (13.1%)

Memory
-14.5MiB live, 327.2MiB allocated; 56ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01233
01533
17333
225733
3107533
0406931
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
9 → 452
Calls
Call 1
Inputs
(/.f64 (expm1.f64 x) x)
(expm1.f64 x)
#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)
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#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 (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))
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(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -1 binary64) (exp.f64 x)))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))) (-.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal -1 binary64) (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64))) (*.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64))))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (exp.f64 (+.f64 x #s(literal 0 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)))
(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)
(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))
(-.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))
#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 #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 (-.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 (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))
(/.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) (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 (*.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 (*.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)))))
(/.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 (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)))))
(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)
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(literal 1 binary64)
x

eval92.0ms (5.5%)

Memory
-12.4MiB live, 130.4MiB allocated; 16ms collecting garbage
Compiler

Compiled 6 833 to 1 369 computations (80.0% saved)

prune7.0ms (0.4%)

Memory
26.5MiB live, 26.5MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New4542456
Fresh000
Picked303
Done-220
Total4554459
Accuracy
100.0%
Counts
459 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (expm1.f64 x) x)
▶51.1%
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
▶51.0%
#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)))))
✓51.0%
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
Compiler

Compiled 43 to 34 computations (20.9% saved)

sample0.0ms (0.0%)

Memory
0.6MiB live, 0.6MiB 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)

series9.0ms (0.5%)

Memory
-25.9MiB live, 18.3MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038120
Stop Event
1×iter-limit
Counts
10 → 12
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))
#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)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#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 (/ 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 x 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 (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))
#s(approx (+ 1/2 (/ 1 x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
Calls

3 calls:

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

rewrite121.0ms (7.2%)

Memory
49.0MiB live, 279.1MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01566
02061
113055
242555
3235255
0423551
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
10 → 328
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))
#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)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
x
Outputs
#s(approx (/ (- (exp x) 1) 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 #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 (*.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 (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 (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))
(/.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) (neg.f64 x) (neg.f64 x)) (neg.f64 x))
(/.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)
(/.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 (*.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 (*.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 (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)))))
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(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 x #s(literal 0 binary64)) (*.f64 x x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 #s(literal 0 binary64) x) (*.f64 x 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(literal 1/2 binary64)
x

eval35.0ms (2.1%)

Memory
-2.5MiB live, 94.7MiB allocated; 19ms collecting garbage
Compiler

Compiled 6 932 to 1 334 computations (80.8% saved)

prune9.0ms (0.6%)

Memory
-25.1MiB live, 20.0MiB allocated; 6ms collecting garbage
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New2782280
Fresh000
Picked202
Done-242
Total2786284
Accuracy
100.0%
Counts
284 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (expm1.f64 x) x)
✓51.1%
#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)))
✓51.0%
#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)))))
▶50.9%
#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)))))
✓51.0%
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
Compiler

Compiled 83 to 62 computations (25.3% saved)

sample0.0ms (0.0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1/2
1
Outputs
#s(literal 1/2 binary64)
#s(literal 1 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
17.2MiB live, 17.2MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038119
Stop Event
1×iter-limit
Counts
11 → 12
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)
#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)
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 (+ 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 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))))
#s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))
#s(approx (+ 1/2 (/ 1 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
1.0ms
x
0

rewrite164.0ms (9.8%)

Memory
-15.3MiB live, 229.0MiB allocated; 41ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02095
02395
112895
238595
3158195
0417587
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
11 → 68
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)
#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)
x
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 #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))
(neg.f64 (*.f64 #s(literal -1/2 binary64) x))
#s(literal 1/2 binary64)
#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 (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.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 (/.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) (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 (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 #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) (/.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)
(/.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))
(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))
#s(literal 1 binary64)
x

eval7.0ms (0.4%)

Memory
14.4MiB live, 14.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 882 to 399 computations (78.8% saved)

prune4.0ms (0.3%)

Memory
6.1MiB live, 6.1MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New71172
Fresh000
Picked202
Done-264
Total71778
Accuracy
100.0%
Counts
78 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (expm1.f64 x) x)
✓51.1%
#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)))
✓51.0%
#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)))))
29.9%
#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))))))
✓50.9%
#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)))))
✓51.0%
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
Compiler

Compiled 109 to 78 computations (28.4% saved)

regimes33.0ms (2.0%)

Memory
-11.2MiB live, 35.4MiB allocated; 2ms collecting garbage
Counts
2 → 1
7 → 1
9 → 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)))
#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 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 (+ (* 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)))
#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 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))))))
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Outputs
(/.f64 (expm1.f64 x) x)
Calls

6 calls:

19.0ms
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
3.0ms
x
3.0ms
x
2.0ms
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
2.0ms
x
Results
AccuracySegmentsBranch
51.0%1(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
51.0%1x
51.1%1(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
51.1%1x
100.0%1(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
100.0%1x
Compiler

Compiled 148 to 60 computations (59.5% saved)

derivations39.0ms (2.3%)

Memory
-1.1MiB live, 52.6MiB allocated; 7ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 23 to 12 computations (47.8% saved)

preprocess27.0ms (1.6%)

Memory
-19.2MiB live, 70.7MiB allocated; 12ms 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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