expq2 (section 3.11)

Time bar (total: 3.0s)

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%75.2%24.8%0%0%0%0
0%0%75.2%24.8%0%0%0%1
50%37.6%37.6%24.8%0%0%0%2
75%56.4%18.8%24.8%0%0%0%3
87.5%65.8%9.4%24.8%0%0%0%4
93.8%70.5%4.7%24.8%0%0%0%5
96.9%72.8%2.3%24.8%0%0%0%6
98.4%74%1.2%24.8%0%0%0%7
99.2%74.6%0.6%24.8%0%0%0%8
99.6%74.9%0.3%24.8%0%0%0%9
99.8%75%0.1%24.8%0%0%0%10
99.9%75.1%0.1%24.8%0%0%0%11
100%75.1%0%24.8%0%0%0%12
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample736.0ms (24.6%)

Memory
-39.9MiB live, 326.4MiB allocated; 261ms collecting garbage
Samples
519.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 215.0ms
ival-exp: 89.0ms (41.4% of total)
ival-expm1: 77.0ms (35.8% of total)
ival-div!: 48.0ms (22.3% of total)
adjust: 2.0ms (0.9% of total)
Bogosity

preprocess32.0ms (1.1%)

Memory
24.3MiB live, 24.3MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01026
14325
217525
3100319
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.1%
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Compiler

Compiled 14 to 10 computations (28.6% saved)

series88.0ms (2.9%)

Memory
-6.4MiB live, 91.4MiB allocated; 23ms collecting garbage
Counts
5 → 15
Calls
Call 1
Inputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(exp.f64 x)
x
(-.f64 (exp.f64 x) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))) 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 x 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) (- (exp x) 1)) (/.f64 (exp.f64 x) (expm1.f64 x)))
#s(approx (exp x) (exp.f64 x))
#s(approx (- (exp x) 1) (expm1.f64 x))
Calls

3 calls:

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

rewrite987.0ms (33%)

Memory
8.2MiB live, 573.0MiB allocated; 160ms collecting garbage
Counts
5 → 654
Calls
Call 1
Inputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(exp.f64 x)
x
(-.f64 (exp.f64 x) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (neg.f64 (exp.f64 x)))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (expm1.f64 x)))
(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(*.f64 (fma.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (expm1.f64 x) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(*.f64 (/.f64 (exp.f64 x) (*.f64 (expm1.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (*.f64 (expm1.f64 x) (exp.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) (expm1.f64 x))))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (/.f64 (fma.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (expm1.f64 x) (sinh.f64 x)) (*.f64 (expm1.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 (/.f64 (neg.f64 (exp.f64 x)) (*.f64 (neg.f64 (expm1.f64 x)) #s(literal 2 binary64))) #s(literal 2 binary64))
(+.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x)))
(+.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 0 binary64))
(+.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x)))
(+.f64 (/.f64 (*.f64 (cosh.f64 x) (expm1.f64 x)) (*.f64 (expm1.f64 x) (expm1.f64 x))) (/.f64 (*.f64 (expm1.f64 x) (sinh.f64 x)) (*.f64 (expm1.f64 x) (expm1.f64 x))))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (neg.f64 (cosh.f64 x))) (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (sinh.f64 (neg.f64 x))))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (sinh.f64 (neg.f64 x))) (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (neg.f64 (cosh.f64 x))))
(+.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 0 binary64)))
(+.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (*.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x))))
(+.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (*.f64 (neg.f64 (exp.f64 x)) #s(literal 0 binary64)))
(+.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) (expm1.f64 x)) (expm1.f64 x)) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x)))
(-.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 (neg.f64 x)) (expm1.f64 x)))
(-.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (sinh.f64 x)))
(-.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (/.f64 (neg.f64 (cosh.f64 x)) (expm1.f64 x)))
(-.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (cosh.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x)))
(/.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (expm1.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 (expm1.f64 x) (exp.f64 x)) (*.f64 (expm1.f64 x) (expm1.f64 x)))
(/.f64 (*.f64 #s(literal -2 binary64) (exp.f64 x)) (*.f64 #s(literal -2 binary64) (expm1.f64 x)))
(/.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 x)) (*.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (expm1.f64 x)) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (expm1.f64 x))) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (expm1.f64 x) #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (*.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 (neg.f64 (expm1.f64 x)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (neg.f64 (expm1.f64 x)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))) (expm1.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) (exp.f64 x))) (*.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) (expm1.f64 x))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) (exp.f64 x))) (*.f64 (expm1.f64 x) (expm1.f64 x)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (expm1.f64 x) (exp.f64 x))) (*.f64 #s(literal -2 binary64) (*.f64 (expm1.f64 x) (expm1.f64 x))))
(/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (exp.f64 x) (expm1.f64 x))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 x))) (*.f64 #s(literal -2 binary64) (neg.f64 (expm1.f64 x))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (expm1.f64 x)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (expm1.f64 x) (exp.f64 x))) (*.f64 #s(literal 2 binary64) (*.f64 (expm1.f64 x) (expm1.f64 x))))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (exp.f64 x) (expm1.f64 x))) #s(literal 2 binary64))
(/.f64 (*.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (expm1.f64 x))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (expm1.f64 x) (exp.f64 x)) (expm1.f64 x)) (expm1.f64 x))
(/.f64 (fma.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (neg.f64 (expm1.f64 x)) (sinh.f64 (neg.f64 x))) (neg.f64 (expm1.f64 x)))
(/.f64 (fma.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (expm1.f64 x) (sinh.f64 x)) (expm1.f64 x))
(/.f64 (fma.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (*.f64 (expm1.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (*.f64 (expm1.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (neg.f64 (expm1.f64 x)) (neg.f64 (cosh.f64 x))) (neg.f64 (expm1.f64 x)))
(/.f64 (fma.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (*.f64 (expm1.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (*.f64 (expm1.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (expm1.f64 x) (cosh.f64 x)) (expm1.f64 x))
(/.f64 (neg.f64 (*.f64 (expm1.f64 x) (exp.f64 x))) (neg.f64 (*.f64 (expm1.f64 x) (expm1.f64 x))))
(/.f64 (*.f64 (exp.f64 x) #s(literal -2 binary64)) (*.f64 (neg.f64 (expm1.f64 x)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (exp.f64 x)) (*.f64 (neg.f64 (expm1.f64 x)) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (neg.f64 (expm1.f64 x))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (expm1.f64 x))) #s(literal 8 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (expm1.f64 x)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 (expm1.f64 x) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 (neg.f64 (expm1.f64 x)) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (expm1.f64 x) (sinh.f64 x))) (expm1.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64)))) (*.f64 (expm1.f64 x) #s(literal 4 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64)))) (*.f64 (neg.f64 (expm1.f64 x)) #s(literal 4 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal 8 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (expm1.f64 x) (sinh.f64 x))) (*.f64 (expm1.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64)))) (*.f64 (*.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (expm1.f64 x) (sinh.f64 x))) (*.f64 #s(literal -2 binary64) (expm1.f64 x)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64)))) (*.f64 (*.f64 (neg.f64 (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (fma.f64 (neg.f64 (cosh.f64 x)) (expm1.f64 x) (*.f64 (neg.f64 (expm1.f64 x)) (sinh.f64 x))) (*.f64 (neg.f64 (expm1.f64 x)) (expm1.f64 x)))
(/.f64 (fma.f64 (neg.f64 (cosh.f64 x)) (expm1.f64 x) (*.f64 (sinh.f64 x) (neg.f64 (expm1.f64 x)))) (*.f64 (neg.f64 (expm1.f64 x)) (expm1.f64 x)))
(/.f64 (fma.f64 (neg.f64 (cosh.f64 x)) (neg.f64 (expm1.f64 x)) (*.f64 (neg.f64 (expm1.f64 x)) (sinh.f64 (neg.f64 x)))) (*.f64 (expm1.f64 x) (expm1.f64 x)))
(/.f64 (fma.f64 (neg.f64 (cosh.f64 x)) (neg.f64 (expm1.f64 x)) (*.f64 (sinh.f64 (neg.f64 x)) (neg.f64 (expm1.f64 x)))) (*.f64 (expm1.f64 x) (expm1.f64 x)))
(/.f64 (fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (expm1.f64 x) (*.f64 (*.f64 (expm1.f64 x) #s(literal 2 binary64)) (sinh.f64 x))) (*.f64 (*.f64 (expm1.f64 x) #s(literal 2 binary64)) (expm1.f64 x)))
(/.f64 (fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (expm1.f64 x) (*.f64 (sinh.f64 x) (*.f64 (expm1.f64 x) #s(literal 2 binary64)))) (*.f64 (*.f64 (expm1.f64 x) #s(literal 2 binary64)) (expm1.f64 x)))
(/.f64 (fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (neg.f64 (expm1.f64 x)) (*.f64 (*.f64 (expm1.f64 x) #s(literal 2 binary64)) (sinh.f64 (neg.f64 x)))) (*.f64 (*.f64 (expm1.f64 x) #s(literal 2 binary64)) (neg.f64 (expm1.f64 x))))
(/.f64 (fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (neg.f64 (expm1.f64 x)) (*.f64 (sinh.f64 (neg.f64 x)) (*.f64 (expm1.f64 x) #s(literal 2 binary64)))) (*.f64 (*.f64 (expm1.f64 x) #s(literal 2 binary64)) (neg.f64 (expm1.f64 x))))
(/.f64 (fma.f64 (sinh.f64 (neg.f64 x)) (expm1.f64 x) (*.f64 (neg.f64 (expm1.f64 x)) (cosh.f64 x))) (*.f64 (neg.f64 (expm1.f64 x)) (expm1.f64 x)))
(/.f64 (fma.f64 (sinh.f64 (neg.f64 x)) (expm1.f64 x) (*.f64 (cosh.f64 x) (neg.f64 (expm1.f64 x)))) (*.f64 (neg.f64 (expm1.f64 x)) (expm1.f64 x)))
(/.f64 (fma.f64 (sinh.f64 (neg.f64 x)) (neg.f64 (expm1.f64 x)) (*.f64 (neg.f64 (expm1.f64 x)) (neg.f64 (cosh.f64 x)))) (*.f64 (expm1.f64 x) (expm1.f64 x)))
(/.f64 (fma.f64 (sinh.f64 (neg.f64 x)) (neg.f64 (expm1.f64 x)) (*.f64 (neg.f64 (cosh.f64 x)) (neg.f64 (expm1.f64 x)))) (*.f64 (expm1.f64 x) (expm1.f64 x)))
(/.f64 (fma.f64 (sinh.f64 (neg.f64 x)) (*.f64 (expm1.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (expm1.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))) (*.f64 (neg.f64 (expm1.f64 x)) (*.f64 (expm1.f64 x) #s(literal 2 binary64))))
(/.f64 (fma.f64 (sinh.f64 (neg.f64 x)) (*.f64 (expm1.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (neg.f64 (expm1.f64 x)))) (*.f64 (neg.f64 (expm1.f64 x)) (*.f64 (expm1.f64 x) #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (expm1.f64 x) (*.f64 (*.f64 (expm1.f64 x) #s(literal 2 binary64)) (cosh.f64 x))) (*.f64 (*.f64 (expm1.f64 x) #s(literal 2 binary64)) (expm1.f64 x)))
(/.f64 (fma.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (expm1.f64 x) (*.f64 (cosh.f64 x) (*.f64 (expm1.f64 x) #s(literal 2 binary64)))) (*.f64 (*.f64 (expm1.f64 x) #s(literal 2 binary64)) (expm1.f64 x)))
(/.f64 (fma.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (neg.f64 (expm1.f64 x)) (*.f64 (*.f64 (expm1.f64 x) #s(literal 2 binary64)) (neg.f64 (cosh.f64 x)))) (*.f64 (*.f64 (expm1.f64 x) #s(literal 2 binary64)) (neg.f64 (expm1.f64 x))))
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(fma.f64 #s(literal 1/2 binary64) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (cosh.f64 x))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) #s(literal 1/2 binary64)) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (sinh.f64 x) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))
(fma.f64 (/.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64) (-.f64 (cosh.f64 x) #s(literal 0 binary64)))
(fma.f64 (/.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64) (cosh.f64 x))
(fma.f64 (/.f64 (*.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))
(fma.f64 (/.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64) (-.f64 (cosh.f64 x) #s(literal 0 binary64)))
(fma.f64 (/.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64) (cosh.f64 x))
(fma.f64 (/.f64 (*.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (sinh.f64 x))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (*.f64 x #s(literal 1/2 binary64))) (sinh.f64 (*.f64 x #s(literal 1/2 binary64)))) (sinh.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (*.f64 x #s(literal 1/2 binary64))) (sinh.f64 (*.f64 x #s(literal 1/2 binary64)))) (-.f64 (sinh.f64 x) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x))))
(fma.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64) (fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64) (-.f64 (sinh.f64 x) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x))))
(fma.f64 #s(literal 1/2 binary64) #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x))))
(fma.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64) (-.f64 (sinh.f64 x) #s(literal 1 binary64))))
(fma.f64 #s(literal -1/2 binary64) #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x))))
(fma.f64 (/.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64) (fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64) (-.f64 (sinh.f64 x) #s(literal 1 binary64))))
(fma.f64 #s(literal 2 binary64) #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64) (-.f64 (sinh.f64 x) #s(literal 1 binary64))))
(fma.f64 #s(literal -2 binary64) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64) (-.f64 (sinh.f64 x) #s(literal 1 binary64))))
(fma.f64 (/.f64 (exp.f64 x) #s(literal 8 binary64)) #s(literal 4 binary64) (fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64) (-.f64 (sinh.f64 x) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal -2 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x))))
(fma.f64 #s(literal 1 binary64) (sinh.f64 x) (*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 (*.f64 x #s(literal 1/2 binary64))) (sinh.f64 (/.f64 x #s(literal -2 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 (*.f64 x #s(literal 1/2 binary64))) (sinh.f64 (/.f64 x #s(literal -2 binary64))))))
(fma.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 (*.f64 x #s(literal 1/2 binary64))) (sinh.f64 (/.f64 x #s(literal -2 binary64))))))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 (*.f64 x #s(literal 1/2 binary64))) (sinh.f64 (/.f64 x #s(literal -2 binary64))))))
(fma.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 (*.f64 x #s(literal 1/2 binary64))) (sinh.f64 (/.f64 x #s(literal -2 binary64))))))
(fma.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 (*.f64 x #s(literal 1/2 binary64))) (sinh.f64 (/.f64 x #s(literal -2 binary64))))))
(fma.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 (*.f64 x #s(literal 1/2 binary64))) (sinh.f64 (/.f64 x #s(literal -2 binary64))))))
(fma.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 (*.f64 x #s(literal 1/2 binary64))) (sinh.f64 (/.f64 x #s(literal -2 binary64))))))
(fma.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (-.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sinh.f64 x))))
(fma.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64) (-.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sinh.f64 x))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (-.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sinh.f64 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (-.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sinh.f64 x))))
(fma.f64 (/.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64) (-.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sinh.f64 x))))
(fma.f64 (/.f64 (exp.f64 x) #s(literal 8 binary64)) #s(literal 4 binary64) (-.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sinh.f64 x))))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 x #s(literal -2 binary64))) (sinh.f64 (/.f64 (-.f64 (neg.f64 x) #s(literal 0 binary64)) #s(literal 2 binary64)))) (sinh.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 x #s(literal -2 binary64))) (sinh.f64 (/.f64 (-.f64 (neg.f64 x) #s(literal 0 binary64)) #s(literal 2 binary64)))) (-.f64 (sinh.f64 x) #s(literal 0 binary64)))
(neg.f64 (neg.f64 (expm1.f64 x)))
#s(literal 1 binary64)
(*.f64 #s(literal -1 binary64) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) #s(literal -1/2 binary64))
(*.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) #s(literal 8 binary64)) #s(literal 4 binary64))
(fabs.f64 #s(literal -1 binary64))
(fabs.f64 #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) #s(literal -1 binary64))
(-.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(-.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(-.f64 (*.f64 (cosh.f64 #s(literal 1 binary64)) (cosh.f64 #s(literal 1 binary64))) (*.f64 (sinh.f64 #s(literal 1 binary64)) (sinh.f64 #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal -2 binary64) #s(literal -2 binary64))
(/.f64 #s(literal 4 binary64) #s(literal 4 binary64))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal -4 binary64) #s(literal -4 binary64))
(/.f64 #s(literal 8 binary64) #s(literal 8 binary64))
(/.f64 (*.f64 #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 8 binary64))
(/.f64 (*.f64 #s(literal 8 binary64) #s(literal 1/2 binary64)) #s(literal 4 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal -4 binary64) #s(literal 0 binary64)) #s(literal -4 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) #s(literal -4 binary64)) #s(literal -4 binary64))
(/.f64 (-.f64 #s(literal -4 binary64) #s(literal 0 binary64)) #s(literal -4 binary64))
(/.f64 (exp.f64 #s(literal 1 binary64)) (exp.f64 #s(literal 1 binary64)))
(copysign.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(copysign.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal -2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) #s(literal -2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 4 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/4 binary64) #s(literal 2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -2 binary64) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -2 binary64) #s(literal -1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 4 binary64) #s(literal 1/4 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))
(fma.f64 (exp.f64 x) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 0 binary64) (exp.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 1 binary64))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal 1 binary64))
(hypot.f64 #s(literal 0 binary64) #s(literal 1 binary64))
(hypot.f64 #s(literal 0 binary64) #s(literal -1 binary64))
(hypot.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(hypot.f64 #s(literal -1 binary64) #s(literal 0 binary64))
(neg.f64 #s(literal -1 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 1 binary64))

eval64.0ms (2.1%)

Memory
19.9MiB live, 66.5MiB allocated; 7ms collecting garbage
Compiler

Compiled 10 389 to 1 893 computations (81.8% saved)

prune18.0ms (0.6%)

Memory
-29.3MiB live, 17.6MiB allocated; 2ms collecting garbage
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New6587665
Fresh000
Picked101
Done000
Total6597666
Accuracy
100.0%
Counts
666 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (exp.f64 x) (expm1.f64 x))
97.1%
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
5.3%
(/.f64 #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)))
99.9%
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
69.8%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) x))
69.3%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
68.9%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 174 to 124 computations (28.7% saved)

series85.0ms (2.9%)

Memory
27.1MiB live, 27.1MiB allocated; 0ms collecting garbage
Counts
23 → 31
Calls
Call 1
Inputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 x)
x
(expm1.f64 x)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(/.f64 #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)))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) x)
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1/12 binary64)
Outputs
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))) 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 x 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 (* 1/2 x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ 1 (* x (+ 1/2 (* 1/12 x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))))
#s(approx (* x (+ 1/2 (* 1/12 x))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x))))
#s(approx (+ 1/2 (* 1/12 x)) #s(literal 1/2 binary64))
#s(approx (+ 1/2 (* 1/12 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (* 1/12 x) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (expm1.f64 x)))
#s(approx (exp x) (exp.f64 x))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (/ (+ 1 (* 1/2 x)) 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 (+ 1 x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (*.f64 x (+.f64 #s(literal 1/12 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ 1 (* x (+ 1/2 (* 1/12 x)))) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ 1 (* x (+ 1/2 (* 1/12 x)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ 1 (* x (+ 1/2 (* 1/12 x)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/12 binary64)))))
Calls

3 calls:

TimeVariablePoint
3.0ms
x
inf
2.0ms
x
-inf
1.0ms
x
0

rewrite273.0ms (9.1%)

Memory
-5.4MiB live, 90.3MiB allocated; 18ms collecting garbage
Counts
23 → 618
Calls
Call 1
Inputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 x)
x
(expm1.f64 x)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(/.f64 #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)))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) x)
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1/12 binary64)
Outputs
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (neg.f64 (exp.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (expm1.f64 x)))
(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(+.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x)))
(+.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (sinh.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (cosh.f64 x)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (cosh.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (sinh.f64 x)))
(-.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 (neg.f64 x)) (expm1.f64 x)))
(-.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (neg.f64 (/.f64 (sinh.f64 x) (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (*.f64 (exp.f64 x) #s(literal -1 binary64)) (neg.f64 (expm1.f64 x)))
(/.f64 (*.f64 #s(literal -1 binary64) (exp.f64 x)) (neg.f64 (expm1.f64 x)))
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x)))
(/.f64 (*.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) (neg.f64 (expm1.f64 x)))
(/.f64 (fma.f64 (cosh.f64 x) (expm1.f64 x) (*.f64 (expm1.f64 x) (sinh.f64 x))) (*.f64 (expm1.f64 x) (expm1.f64 x)))
(/.f64 (fma.f64 (cosh.f64 x) (expm1.f64 x) (*.f64 (sinh.f64 x) (expm1.f64 x))) (*.f64 (expm1.f64 x) (expm1.f64 x)))
(/.f64 (fma.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (expm1.f64 x) (sinh.f64 x)) (expm1.f64 x))
(fma.f64 (cosh.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x)))
(fma.f64 (sinh.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (sinh.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (cosh.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (cosh.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (sinh.f64 x)))
(neg.f64 (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 x)))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (exp.f64 x)))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(fabs.f64 (exp.f64 x))
(fabs.f64 (neg.f64 (exp.f64 x)))
(fabs.f64 (*.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (exp.f64 x) (*.f64 #s(literal 0 binary64) (exp.f64 x)))
(+.f64 (exp.f64 x) (*.f64 (exp.f64 x) #s(literal 0 binary64)))
(+.f64 (neg.f64 (neg.f64 (cosh.f64 x))) (neg.f64 (sinh.f64 (neg.f64 x))))
(+.f64 (cosh.f64 x) (neg.f64 (sinh.f64 (neg.f64 x))))
(-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(-.f64 (sinh.f64 x) (neg.f64 (cosh.f64 x)))
(/.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #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 #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) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 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 (*.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 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 #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 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) #s(literal 4 binary64))
(exp.f64 x)
(exp.f64 (+.f64 x #s(literal 0 binary64)))
(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))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (exp.f64 x)))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) (*.f64 #s(literal 0 binary64) (exp.f64 x)))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) (*.f64 (exp.f64 x) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64) (neg.f64 (sinh.f64 (neg.f64 x))))
(neg.f64 (neg.f64 (exp.f64 x)))
(neg.f64 (*.f64 (exp.f64 x) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(sqrt.f64 (exp.f64 (+.f64 x x)))
x
(*.f64 x #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) x)
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(neg.f64 (neg.f64 x))
(+.f64 (exp.f64 x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 x))
(+.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x))
(+.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) (sinh.f64 x))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.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 (exp.f64 x) #s(literal 1 binary64))
(-.f64 (expm1.f64 x) #s(literal 0 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) (neg.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64))))
(-.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 (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(expm1.f64 x)
(expm1.f64 (+.f64 x #s(literal 0 binary64)))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal -1 binary64) (exp.f64 x))
(fma.f64 #s(literal -1 binary64) #s(literal 1 binary64) (exp.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)))
(neg.f64 (neg.f64 (expm1.f64 x)))
#s(approx (/ (exp x) (+ -1 (exp x))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #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))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 0 binary64) x))
(+.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 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.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) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64) (/.f64 #s(literal 0 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 #s(literal 0 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal -1 binary64) (*.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 (/.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 (/.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 (/.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 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(pow.f64 x #s(literal -1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal -1 binary64) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) x)
(*.f64 x (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) x))
(fabs.f64 #s(literal -1 binary64))
(fabs.f64 #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal -2 binary64) #s(literal -2 binary64))
(/.f64 #s(literal 4 binary64) #s(literal 4 binary64))
(/.f64 x x)
(/.f64 (neg.f64 x) (neg.f64 x))
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) x #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) x #s(literal 1/2 binary64))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
(fma.f64 x (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 x (neg.f64 x)) #s(literal 1/2 binary64))
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(fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 x x) x) #s(literal 1/2 binary64))
(fma.f64 x (/.f64 (*.f64 #s(literal 1/12 binary64) x) x) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) (neg.f64 x)) (*.f64 #s(literal 1/12 binary64) x))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) x (*.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 1 binary64)))
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 1 binary64)))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 1 binary64)))
(neg.f64 (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 x #s(literal 1/12 binary64))
(*.f64 (neg.f64 x) #s(literal -1/12 binary64))
(*.f64 #s(literal -1/12 binary64) (neg.f64 x))
(neg.f64 (*.f64 x #s(literal -1/12 binary64)))
#s(literal 1/12 binary64)
(neg.f64 #s(literal -1/12 binary64))

eval83.0ms (2.8%)

Memory
-6.7MiB live, 83.4MiB allocated; 10ms collecting garbage
Compiler

Compiled 15 487 to 2 641 computations (82.9% saved)

prune21.0ms (0.7%)

Memory
23.9MiB live, 23.9MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New7997806
Fresh112
Picked325
Done000
Total80310813
Accuracy
100.0%
Counts
813 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (exp.f64 x) (expm1.f64 x))
5.3%
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
99.9%
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
69.9%
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
69.8%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
38.0%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x) (*.f64 x x)))
69.3%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
68.9%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
69.3%
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
69.9%
#s(approx (/ (exp x) (- (exp x) 1)) (*.f64 (fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 260 to 178 computations (31.5% saved)

series89.0ms (3%)

Memory
-19.0MiB live, 27.9MiB allocated; 13ms collecting garbage
Counts
22 → 37
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (expm1.f64 x))
#s(literal 1 binary64)
(expm1.f64 x)
x
(exp.f64 x)
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal -1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(literal 1/12 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x) (*.f64 x x))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x)
(*.f64 x x)
Outputs
#s(approx (* (/ 1 (- (exp x) 1)) (exp x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (* (/ 1 (- (exp x) 1)) (exp x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (* (/ 1 (- (exp x) 1)) (exp x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) x))
#s(approx (* (/ 1 (- (exp x) 1)) (exp x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))) x))
#s(approx (/ 1 (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)) x))
#s(approx (/ 1 (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 1/2 binary64)))) x))
#s(approx (/ 1 (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 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) #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 (+ (* (+ (* x 1/12) 1/2) x) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* (+ (* x 1/12) 1/2) x) 1) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))))
#s(approx (+ (* x 1/12) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* x 1/12) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (+ (* (* x x) (+ (* x 1/12) 1/2)) x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x))))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (* (/ 1 (- (exp x) 1)) (exp x)) (/.f64 (exp.f64 x) (expm1.f64 x)))
#s(approx (/ 1 (- (exp x) 1)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (exp x) (exp.f64 x))
#s(approx (- (/ 1 x) -1/2) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (*.f64 x (+.f64 #s(literal 1/12 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* (+ (* x 1/12) 1/2) x) 1) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* (+ (* x 1/12) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* (+ (* x 1/12) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* (* x x) (+ (* x 1/12) 1/2)) x) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (* x x) (+ (* x 1/12) 1/2)) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* (* x x) (+ (* x 1/12) 1/2)) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/12 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/12 binary64)))))
#s(approx (+ (* (* x x) (+ (* x 1/12) 1/2)) x) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/12 binary64)))))
Calls

3 calls:

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

rewrite128.0ms (4.3%)

Memory
-11.8MiB live, 39.2MiB allocated; 11ms collecting garbage
Counts
22 → 73
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (expm1.f64 x))
#s(literal 1 binary64)
(expm1.f64 x)
x
(exp.f64 x)
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal -1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(literal 1/12 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x) (*.f64 x x))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x)
(*.f64 x x)
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (exp.f64 x)) (expm1.f64 x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(/.f64 #s(literal 1 binary64) (expm1.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 x)))
(pow.f64 (expm1.f64 x) #s(literal -1 binary64))
#s(literal 1 binary64)
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(+.f64 (exp.f64 x) #s(literal -1 binary64))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(expm1.f64 x)
(neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))
x
(fabs.f64 (exp.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(exp.f64 x)
#s(approx (/ (exp x) (+ (exp x) -1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(neg.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(pow.f64 x #s(literal -1 binary64))
#s(literal -1/2 binary64)
(neg.f64 #s(literal 1/2 binary64))
#s(approx (/ (exp x) (+ (exp x) -1)) (-.f64 (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/12 binary64)))
(+.f64 (*.f64 x #s(literal 1/12 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
(-.f64 (*.f64 x #s(literal 1/12 binary64)) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(literal 1/12 binary64)
#s(approx (/ (exp x) (+ (exp x) -1)) (+.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (neg.f64 x))
(+.f64 (*.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x))
(-.f64 (*.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x) #s(literal -1 binary64))
(fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
(-.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(neg.f64 #s(literal -1/2 binary64))
#s(approx (/ (exp x) (+ (exp x) -1)) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(+.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) (*.f64 x x)) (/.f64 x (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x) (*.f64 x x))
(/.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x) x) x)
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x)) (neg.f64 (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) x)
(+.f64 x (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))))
(-.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) (neg.f64 x))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)
(fma.f64 x (*.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x) x)
(*.f64 x x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(pow.f64 x #s(literal 2 binary64))

eval11.0ms (0.4%)

Memory
11.8MiB live, 11.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 098 to 409 computations (80.5% saved)

prune8.0ms (0.3%)

Memory
6.8MiB live, 6.8MiB allocated; 0ms collecting garbage
Pruning

12 alts after pruning (5 fresh and 7 done)

PrunedKeptTotal
New1083111
Fresh123
Picked055
Done022
Total10912121
Accuracy
100.0%
Counts
121 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (exp.f64 x) (expm1.f64 x))
5.3%
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
99.9%
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
96.0%
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (exp x) 1) x)) (exp.f64 x))
69.9%
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
69.8%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
38.0%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x) (*.f64 x x)))
69.3%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(approx (+ (* x 1/12) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
68.9%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
69.3%
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
69.9%
#s(approx (/ (exp x) (- (exp x) 1)) (*.f64 (fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
3.6%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
Compiler

Compiled 262 to 184 computations (29.8% saved)

series84.0ms (2.8%)

Memory
-8.6MiB live, 38.1MiB allocated; 5ms collecting garbage
Counts
25 → 31
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (exp x) 1) x)) (exp.f64 x))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp x) 1) x))
#s(literal 1 binary64)
#s(approx (- (exp x) 1) x)
x
(exp.f64 x)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1/12 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(approx (+ (* x 1/12) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 #s(approx (+ (* x 1/12) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 #s(approx (+ (* x 1/12) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
#s(approx (+ (* x 1/12) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) (*.f64 (fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
Outputs
#s(approx (* (/ 1 (- (exp x) 1)) (exp x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (* (/ 1 (- (exp x) 1)) (exp x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (* (/ 1 (- (exp x) 1)) (exp x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) x))
#s(approx (* (/ 1 (- (exp x) 1)) (exp x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))) x))
#s(approx (/ 1 (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)) x))
#s(approx (/ 1 (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 1/2 binary64)))) x))
#s(approx (/ 1 (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 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) #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 (* 1/12 x) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (+ (* (+ (* x 1/12) 1/2) x) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* (+ (* x 1/12) 1/2) x) 1) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))))
#s(approx (+ (* x 1/12) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* x 1/12) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (* (/ 1 (- (exp x) 1)) (exp x)) (/.f64 (exp.f64 x) (expm1.f64 x)))
#s(approx (/ 1 (- (exp x) 1)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (exp x) (exp.f64 x))
#s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (*.f64 x (+.f64 #s(literal 1/12 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* (+ (* x 1/12) 1/2) x) 1) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* (+ (* x 1/12) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* (+ (* x 1/12) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- x -1) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/12 binary64)))))
Calls

3 calls:

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

rewrite147.0ms (4.9%)

Memory
18.5MiB live, 64.2MiB allocated; 9ms collecting garbage
Counts
25 → 52
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (exp x) 1) x)) (exp.f64 x))
(/.f64 #s(literal 1 binary64) #s(approx (- (exp x) 1) x))
#s(literal 1 binary64)
#s(approx (- (exp x) 1) x)
x
(exp.f64 x)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1/12 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(approx (+ (* x 1/12) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 #s(approx (+ (* x 1/12) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 #s(approx (+ (* x 1/12) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
#s(approx (+ (* x 1/12) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) (*.f64 (fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp x) -1) x)) (exp.f64 x))
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp x) -1) x))
#s(literal 1 binary64)
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(neg.f64 #s(literal -1 binary64))
#s(approx (+ (exp x) -1) x)
x
(fabs.f64 (exp.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(exp.f64 x)
#s(approx (/ (exp x) (+ (exp x) -1)) #s(approx (+ (+ (/ 1 x) 1/2) (* x 1/12)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (+ (+ (/ 1 x) 1/2) (* x 1/12)) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 x #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
#s(approx (/ (exp x) (+ (exp x) -1)) (/.f64 (fma.f64 #s(approx (+ 1/2 (* x 1/12)) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 #s(approx (+ 1/2 (* x 1/12)) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 #s(approx (+ 1/2 (* x 1/12)) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
#s(approx (+ 1/2 (* x 1/12)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(neg.f64 #s(literal -1/2 binary64))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
(neg.f64 (-.f64 #s(literal -1 binary64) x))
#s(literal -1 binary64)
(neg.f64 #s(literal 1 binary64))
(-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
#s(approx (/ (exp x) (+ (exp x) -1)) (+.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(+.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(/.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (neg.f64 x))
(+.f64 (*.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x))
(-.f64 (*.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x) #s(literal -1 binary64))
(fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x))
(-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(pow.f64 x #s(literal -1 binary64))

eval8.0ms (0.3%)

Memory
10.2MiB live, 10.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 482 to 306 computations (79.4% saved)

prune8.0ms (0.3%)

Memory
-39.2MiB live, 6.8MiB allocated; 4ms collecting garbage
Pruning

12 alts after pruning (1 fresh and 11 done)

PrunedKeptTotal
New74175
Fresh000
Picked145
Done077
Total751287
Accuracy
100.0%
Counts
87 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (exp.f64 x) (expm1.f64 x))
99.9%
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
96.0%
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (exp x) 1) x)) (exp.f64 x))
68.2%
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (exp x) 1) x)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))
69.9%
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
69.8%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
38.0%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x) (*.f64 x x)))
69.3%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(approx (+ (* x 1/12) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
68.9%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
69.3%
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
69.9%
#s(approx (/ (exp x) (- (exp x) 1)) (*.f64 (fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
3.6%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
Compiler

Compiled 176 to 126 computations (28.4% saved)

regimes54.0ms (1.8%)

Memory
11.9MiB live, 60.5MiB allocated; 8ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
2 → 1
7 → 1
13 → 1
15 → 2
19 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
Outputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
Call 2
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
Outputs
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
Call 3
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(approx (+ (* x 1/12) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (exp x) 1) x)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))
Outputs
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
Call 4
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(approx (+ (* x 1/12) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (exp x) 1) x)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #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)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) x))
#s(approx (/ (exp x) (- (exp x) 1)) (*.f64 (fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
Outputs
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
Call 5
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(approx (+ (* x 1/12) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (exp x) 1) x)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #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)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) x))
#s(approx (/ (exp x) (- (exp x) 1)) (*.f64 (fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (exp x) 1) x)) (exp.f64 x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x) (*.f64 x x)))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (exp x) 1) x)) (exp.f64 x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
Call 6
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* x 1/12) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(approx (+ (* x 1/12) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (exp x) 1) x)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #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)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) x))
#s(approx (/ (exp x) (- (exp x) 1)) (*.f64 (fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (exp x) 1) x)) (exp.f64 x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x) (*.f64 x x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Outputs
(/.f64 (exp.f64 x) (expm1.f64 x))
Calls

18 calls:

6.0ms
x
5.0ms
x
4.0ms
x
4.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
4.0ms
x
Results
AccuracySegmentsBranch
3.6%1(exp.f64 x)
3.6%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
3.6%1x
68.9%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
68.9%1(exp.f64 x)
68.9%1x
69.3%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
69.3%1(exp.f64 x)
69.3%1x
69.9%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
69.9%1(exp.f64 x)
69.9%1x
98.2%2(exp.f64 x)
96.0%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
98.2%2x
100.0%1(exp.f64 x)
100.0%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
100.0%1x
Compiler

Compiled 336 to 123 computations (63.4% saved)

bsearch11.0ms (0.4%)

Memory
8.1MiB live, 8.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
-16.498500389595872
-0.002890943360851392
Samples
5.0ms128×0valid
Compiler

Compiled 226 to 192 computations (15% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 1.0ms (31.9% of total)
ival-expm1: 1.0ms (31.9% of total)
ival-div!: 1.0ms (31.9% of total)
adjust: 0.0ms (0% of total)

derivations1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated; 0ms collecting garbage
Stop Event
fuel
Compiler

Compiled 97 to 32 computations (67% saved)

preprocess52.0ms (1.7%)

Memory
2.1MiB live, 94.1MiB allocated; 7ms collecting garbage
Compiler

Compiled 110 to 43 computations (60.9% saved)

end0.0ms (0%)

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

Profiling

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