Kahan's exp quotient

Time bar (total: 1.6s)

start0.0ms (0.0%)

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

analyze1.0ms (0.1%)

Memory
2.8MiB live, 2.8MiB 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)

sample638.0ms (41.1%)

Memory
27.8MiB live, 1 085.6MiB allocated; 350ms collecting garbage
Samples
474.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 115.0ms
ival-expm1: 65.0ms (56.4% of total)
ival-div!: 48.0ms (41.6% of total)
adjust: 2.0ms (1.7% of total)
Bogosity

preprocess58.0ms (3.8%)

Memory
-35.0MiB live, 71.7MiB allocated; 40ms 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
▶56.4%
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Compiler

Compiled 12 to 10 computations (16.7% saved)

sample0.0ms (0.0%)

Memory
1.9MiB live, 1.9MiB 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)

series12.0ms (0.8%)

Memory
22.6MiB live, 71.3MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040144
Stop Event
1×iter-limit
Counts
5 → 14
Calls
Call 1
Inputs
x
(exp.f64 x)
#s(literal 1 binary64)
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Outputs
#s(approx x x)
#s(approx (exp x) #s(literal 1 binary64))
#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) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
#s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))))))))
#s(approx (/ (- (exp x) 1) x) (+.f64 #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) (exp.f64 x))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (/ (- (exp x) 1) x) (/.f64 (expm1.f64 x) x))
Calls

3 calls:

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

rewrite131.0ms (8.4%)

Memory
7.8MiB live, 234.6MiB allocated; 32ms 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
x
(exp.f64 x)
#s(literal 1 binary64)
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Outputs
x
(*.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))
#s(literal 1 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x))) (cosh.f64 x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (exp.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (exp.f64 x))
(*.f64 (expm1.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (expm1.f64 x))
(/.f64 (+.f64 (-.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal -2 binary64) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal -2 binary64) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (-.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
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(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal -1 binary64) x)))))
(/.f64 (fma.f64 (neg.f64 (exp.f64 x)) x (*.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 (exp.f64 x) x (*.f64 x #s(literal -1 binary64))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 x)) (neg.f64 x)) (*.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 x)) x) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (*.f64 (exp.f64 x) (neg.f64 x)) (*.f64 x #s(literal -1 binary64))) (*.f64 x (neg.f64 x)))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x #s(literal 0 binary64)))) (neg.f64 x))
(/.f64 (neg.f64 (-.f64 (*.f64 (exp.f64 x) x) x)) (neg.f64 (*.f64 x x)))
(/.f64 (expm1.f64 (+.f64 x #s(literal 0 binary64))) x)
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x) (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (*.f64 (exp.f64 x) x) x) (*.f64 x x))
(/.f64 (neg.f64 (expm1.f64 x)) (*.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 (+.f64 x #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 (*.f64 (exp.f64 x) x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (neg.f64 (expm1.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 x)))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 x)) x))
(fma.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(fma.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (expm1.f64 x)) (/.f64 (*.f64 (expm1.f64 x) #s(literal 0 binary64)) x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (expm1.f64 x)) (/.f64 (*.f64 #s(literal 0 binary64) (expm1.f64 x)) x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (expm1.f64 x)) (/.f64 #s(literal 0 binary64) x))
(fma.f64 (expm1.f64 (+.f64 x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (expm1.f64 x) #s(literal 0 binary64)) x))
(fma.f64 (expm1.f64 (+.f64 x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 #s(literal 0 binary64) (expm1.f64 x)) x))
(fma.f64 (expm1.f64 (+.f64 x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 0 binary64) x))
(fma.f64 (-.f64 (*.f64 (exp.f64 x) x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 (expm1.f64 x) #s(literal 0 binary64)) x))
(fma.f64 (-.f64 (*.f64 (exp.f64 x) x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal 0 binary64) (expm1.f64 x)) x))
(fma.f64 (-.f64 (*.f64 (exp.f64 x) x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 0 binary64) x))
(fma.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(fma.f64 (neg.f64 (exp.f64 x)) (/.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 (+.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x))) (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 x) 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) (expm1.f64 x) (/.f64 (*.f64 (expm1.f64 x) #s(literal 0 binary64)) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x) (/.f64 (*.f64 #s(literal 0 binary64) (expm1.f64 x)) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x) (/.f64 #s(literal 0 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 x) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (expm1.f64 x) #s(literal 0 binary64)) x))
(fma.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 #s(literal 0 binary64) (expm1.f64 x)) x))
(fma.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 0 binary64) x))
(fma.f64 (sinh.f64 x) (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (cosh.f64 x) #s(literal -1 binary64)) x))
(fma.f64 (sinh.f64 x) (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (cosh.f64 x) #s(literal 1 binary64)) x))
(fma.f64 (cosh.f64 x) (/.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (cosh.f64 x) (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) x))
(fma.f64 (expm1.f64 x) (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (expm1.f64 x) #s(literal 0 binary64)) x))
(fma.f64 (expm1.f64 x) (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 #s(literal 0 binary64) (expm1.f64 x)) x))
(fma.f64 (expm1.f64 x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) x) (/.f64 (*.f64 (expm1.f64 x) #s(literal 0 binary64)) x))
(fma.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) x) (/.f64 (*.f64 #s(literal 0 binary64) (expm1.f64 x)) x))
(fma.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) x) (/.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x))) (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 (exp.f64 x) x))
(fma.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(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 #s(literal 1 binary64) 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 (neg.f64 (exp.f64 x)) x) (*.f64 (neg.f64 x) x)) (/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) x)))
(+.f64 (/.f64 (*.f64 (neg.f64 (exp.f64 x)) x) (*.f64 (neg.f64 x) x)) (/.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)))
(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) x) (/.f64 (sinh.f64 x) 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 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (exp.f64 x) x))
(+.f64 (/.f64 (*.f64 (exp.f64 x) x) (*.f64 x x)) (/.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 x x)))
(+.f64 (/.f64 (*.f64 (exp.f64 x) x) (*.f64 x x)) (/.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x x)))
(+.f64 (/.f64 (*.f64 (exp.f64 x) x) (*.f64 x x)) (/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(+.f64 (/.f64 (*.f64 (exp.f64 x) x) (*.f64 x x)) (/.f64 (neg.f64 x) (*.f64 x x)))
(+.f64 (/.f64 (-.f64 (cosh.f64 x) #s(literal 1 binary64)) x) (/.f64 (sinh.f64 x) x))
(+.f64 (/.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) x) (/.f64 (cosh.f64 x) x))
(+.f64 (/.f64 (expm1.f64 x) x) (/.f64 (*.f64 (expm1.f64 x) #s(literal 0 binary64)) x))
(+.f64 (/.f64 (expm1.f64 x) x) (/.f64 (*.f64 #s(literal 0 binary64) (expm1.f64 x)) x))
(+.f64 (/.f64 (expm1.f64 x) x) (/.f64 #s(literal 0 binary64) x))
(+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x))) (neg.f64 x)))
(+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (neg.f64 x)))
(+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (exp.f64 x) x))
(+.f64 (/.f64 (sinh.f64 x) x) (/.f64 (+.f64 (cosh.f64 x) #s(literal -1 binary64)) x))
(+.f64 (/.f64 (sinh.f64 x) x) (/.f64 (-.f64 (cosh.f64 x) #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 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(+.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal -1 binary64) x))

eval62.0ms (4.0%)

Memory
3.5MiB live, 101.1MiB allocated; 16ms collecting garbage
Compiler

Compiled 8 055 to 1 640 computations (79.6% saved)

prune11.0ms (0.7%)

Memory
-31.2MiB live, 16.5MiB allocated; 2ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New5434547
Fresh000
Picked101
Done000
Total5444548
Accuracy
100.0%
Counts
548 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶4.6%
(/.f64 (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x)
▶3.2%
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
▶100.0%
(/.f64 (expm1.f64 x) x)
▶48.0%
#s(approx (/ (- (exp x) 1) x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
Compiler

Compiled 34 to 26 computations (23.5% saved)

sample0.0ms (0.0%)

Memory
0.5MiB live, 0.5MiB 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
11.5MiB live, 11.5MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048179
Stop Event
1×iter-limit
Counts
15 → 17
Calls
Call 1
Inputs
x
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) 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 #s(literal 1/2 binary64) x)))
(expm1.f64 x)
(/.f64 (expm1.f64 x) x)
#s(approx (exp x) #s(literal 1 binary64))
(-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(+.f64 #s(literal 1 binary64) x)
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x)
Outputs
#s(approx x x)
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ 1 (* 1/2 x)) #s(literal 1 binary64))
#s(approx (+ 1 (* 1/2 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) (*.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 (+ 1 (* 1/2 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.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 (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
1.0ms
x
-inf
1.0ms
x
inf
0.0ms
x
0

rewrite171.0ms (11.0%)

Memory
13.9MiB live, 294.2MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01872
02672
114572
249872
3191672
0424870
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
15 → 696
Calls
Call 1
Inputs
x
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) 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 #s(literal 1/2 binary64) x)))
(expm1.f64 x)
(/.f64 (expm1.f64 x) x)
#s(approx (exp x) #s(literal 1 binary64))
(-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(+.f64 #s(literal 1 binary64) x)
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x)
Outputs
x
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(*.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))
(*.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 (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)))))
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(/.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)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))
(/.f64 (*.f64 (*.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) x))
(/.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)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 x))))
(/.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)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 (neg.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 x))))
(/.f64 (*.f64 (fma.f64 (neg.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))) x)
(/.f64 (neg.f64 (/.f64 (-.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) x) x) x)) (neg.f64 x))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) x) (neg.f64 x)) #s(literal -1 binary64))) x)
(/.f64 (neg.f64 (fma.f64 (neg.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) x (*.f64 #s(literal -1 binary64) (neg.f64 x)))) (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (fma.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) x (*.f64 #s(literal -1 binary64) x))) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (fma.f64 (neg.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) x (*.f64 (neg.f64 x) #s(literal -1 binary64)))) (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (fma.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) x (*.f64 x #s(literal -1 binary64)))) (neg.f64 (*.f64 x x)))
(/.f64 (neg.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)))) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))) (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (neg.f64 x)) (*.f64 x #s(literal -1 binary64)))) (neg.f64 (*.f64 x (neg.f64 x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal -1 binary64)))) x)
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) x) x))) (neg.f64 (neg.f64 (*.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 (/.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)) (*.f64 x #s(literal -1 binary64)))
(/.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(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (*.f64 x #s(literal -1 binary64)))
(/.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 (-.f64 (*.f64 (/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) x) (neg.f64 x)) #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 (fma.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) x (*.f64 #s(literal -1 binary64) x)) (*.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 (fma.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) x (*.f64 x #s(literal -1 binary64))) (*.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 (-.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (neg.f64 x)) (*.f64 x #s(literal -1 binary64))) (*.f64 x (neg.f64 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 (-.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) x) x)) (neg.f64 (*.f64 x 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 (-.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)))) (*.f64 x #s(literal -1 binary64)))
(/.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 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 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) #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 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(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 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(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 #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(literal -1 binary64) (/.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 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(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 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(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))
(-.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 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(approx (exp x) (-.f64 x #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 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) x) (/.f64 #s(literal -1 binary64) x))

eval78.0ms (5.0%)

Memory
18.6MiB live, 212.4MiB allocated; 34ms collecting garbage
Compiler

Compiled 10 676 to 1 763 computations (83.5% saved)

prune17.0ms (1.1%)

Memory
-16.9MiB live, 34.4MiB allocated; 9ms collecting garbage
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New7013704
Fresh000
Picked404
Done-220
Total7035708
Accuracy
100.0%
Counts
708 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓3.2%
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
✓100.0%
(/.f64 (expm1.f64 x) x)
▶48.0%
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
▶47.9%
#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)))))
▶47.8%
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) #s(literal 1 binary64)))
Compiler

Compiled 57 to 44 computations (22.8% saved)

sample0.0ms (0.0%)

Memory
0.4MiB live, 0.4MiB 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
11.5MiB live, 11.5MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036122
Stop Event
1×iter-limit
Counts
12 → 12
Calls
Call 1
Inputs
x
#s(literal 1 binary64)
#s(approx (+ 1 (* 1/2 x)) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) #s(literal 1 binary64)))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) 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)))
#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 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
Outputs
#s(approx x x)
#s(approx (+ 1 (* 1/2 x)) #s(literal 1 binary64))
#s(approx (+ 1 (* 1/2 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 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (+ 1/2 (/ 1 x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (+ 1 (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ 1 (* 1/2 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (exp x) 1) x) (/.f64 (expm1.f64 x) 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

rewrite116.0ms (7.4%)

Memory
-25.5MiB live, 160.9MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01787
02286
113374
242874
3235574
0423768
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
12 → 330
Calls
Call 1
Inputs
x
#s(literal 1 binary64)
#s(approx (+ 1 (* 1/2 x)) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) #s(literal 1 binary64)))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) 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)))
#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 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
Outputs
x
#s(literal 1 binary64)
#s(approx (+ 1 (* 1/2 x)) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) #s(literal 1 binary64)))
#s(literal 1/2 binary64)
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 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) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)
(*.f64 (pow.f64 x #s(literal 0 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))
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(/.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 (*.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) (-.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 #s(literal 1 binary64) (/.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
(neg.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 #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 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 x)) (neg.f64 x)) #s(literal 1 binary64))
(+.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) x)) x) #s(literal 1 binary64))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) x) #s(literal 1 binary64))
(+.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 (*.f64 x (*.f64 #s(literal 1/2 binary64) x)) x))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) 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 0 binary64) (*.f64 #s(literal -1/2 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))

eval30.0ms (1.9%)

Memory
9.9MiB live, 54.3MiB allocated; 7ms collecting garbage
Compiler

Compiled 7 227 to 1 384 computations (80.8% saved)

prune7.0ms (0.5%)

Memory
11.2MiB live, 11.2MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New2781279
Fresh000
Picked303
Done-352
Total2786284
Accuracy
100.0%
Counts
284 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓3.2%
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
✓100.0%
(/.f64 (expm1.f64 x) x)
✓48.0%
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
✓47.9%
#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)))))
▶3.7%
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))))
✓47.8%
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) #s(literal 1 binary64)))
Compiler

Compiled 79 to 59 computations (25.3% saved)

sample0.0ms (0.0%)

Memory
0.2MiB live, 0.2MiB 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
4.8MiB live, 4.8MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036132
Stop Event
1×iter-limit
Counts
6 → 12
Calls
Call 1
Inputs
x
#s(literal 1/2 binary64)
#s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))
(*.f64 x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
#s(approx (+ 1 (* 1/2 x)) (*.f64 x #s(approx (+ 1/2 (/ 1 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)) #s(literal 1/2 binary64)))))
Outputs
#s(approx x x)
#s(approx (+ 1/2 (/ 1 x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (+ 1/2 (/ 1 x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (* x (+ 1/2 (/ 1 x))) #s(literal 1 binary64))
#s(approx (* x (+ 1/2 (/ 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)) #s(literal 1/2 binary64))
#s(approx (+ 1/2 (/ 1 x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (* x (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* x (+ 1/2 (/ 1 x))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (exp x) 1) x) (/.f64 (expm1.f64 x) x))
Calls

3 calls:

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

rewrite128.0ms (8.2%)

Memory
-14.9MiB live, 127.8MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01455
01555
19855
235155
3152455
0409451
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
6 → 7
Calls
Call 1
Inputs
x
#s(literal 1/2 binary64)
#s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))
(*.f64 x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
#s(approx (+ 1 (* 1/2 x)) (*.f64 x #s(approx (+ 1/2 (/ 1 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)) #s(literal 1/2 binary64)))))
Outputs
x
#s(literal 1/2 binary64)
#s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)) x)
(*.f64 x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
#s(approx (+ 1 (* 1/2 x)) (*.f64 #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)) x))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)) x)))

eval1.0ms (0.1%)

Memory
2.4MiB live, 2.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 293 to 71 computations (75.8% saved)

prune2.0ms (0.2%)

Memory
4.4MiB live, 4.4MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New12113
Fresh000
Picked101
Done-165
Total12719
Accuracy
100.0%
Counts
19 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓3.2%
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
✓100.0%
(/.f64 (expm1.f64 x) x)
✓48.0%
#s(approx (/ (- (exp x) 1) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
✓47.9%
#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)))))
47.8%
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 x #s(approx (+ 1/2 (/ 1 x)) (/.f64 #s(literal 1 binary64) x)))))
✓3.7%
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))))
✓47.8%
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) #s(literal 1 binary64)))
Compiler

Compiled 103 to 75 computations (27.2% saved)

regimes19.0ms (1.2%)

Memory
10.2MiB live, 56.8MiB allocated; 2ms collecting garbage
Counts
2 → 1
8 → 1
10 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))))
Outputs
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) #s(literal 1 binary64)))
Call 2
Inputs
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))))
#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(approx (exp x) #s(literal 1 binary64)) #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 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #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)))))
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(approx (+ 1 (* 1/2 x)) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ 1 (* 1/2 x)) (*.f64 x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))))
#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(approx (exp x) #s(literal 1 binary64)) #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 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #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)))))
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
Outputs
(/.f64 (expm1.f64 x) x)
Calls

6 calls:

4.0ms
x
3.0ms
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
3.0ms
x
3.0ms
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
2.0ms
x
Results
AccuracySegmentsBranch
47.8%1x
47.8%1(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
48.0%1(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
48.0%1x
100.0%1(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
100.0%1x
Compiler

Compiled 152 to 62 computations (59.2% saved)

derivations27.0ms (1.7%)

Memory
-3.6MiB live, 42.6MiB allocated; 3ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 29 to 16 computations (44.8% saved)

preprocess25.0ms (1.6%)

Memory
10.1MiB live, 55.4MiB allocated; 5ms collecting garbage
Compiler

Compiled 57 to 33 computations (42.1% saved)

end0.0ms (0.0%)

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

Profiling

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