expq2 (section 3.11)

Time bar (total: 6.1s)

start0.0ms (0%)

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

analyze2.0ms (0%)

Memory
5.9MiB live, 5.9MiB 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)

sample568.0ms (9.3%)

Memory
34.9MiB live, 734.4MiB allocated; 164ms collecting garbage
Samples
394.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 206.0ms
ival-exp: 80.0ms (38.8% of total)
ival-div!: 76.0ms (36.9% of total)
ival-expm1: 48.0ms (23.3% of total)
adjust: 1.0ms (0.5% of total)
Bogosity

preprocess44.0ms (0.7%)

Memory
-32.7MiB live, 12.3MiB allocated; 6ms 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
39.2%
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Compiler

Compiled 12 to 10 computations (16.7% saved)

series95.0ms (1.6%)

Memory
0.9MiB live, 48.5MiB allocated; 8ms 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:

TimeVariablePointExpression
1.0ms
x
@-inf
((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) 1)
1.0ms
x
@inf
((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) 1)
1.0ms
x
@0
((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) 1)

rewrite1.5s (24.8%)

Memory
39.1MiB live, 1 555.6MiB allocated; 439ms collecting garbage
Counts
5 → 566
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 (neg.f64 #s(literal 1 binary64)) (expm1.f64 x)) (neg.f64 (exp.f64 x)))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 (neg.f64 #s(literal 1 binary64)) (expm1.f64 x)))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64))
(*.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 (*.f64 (expm1.f64 x) (exp.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) (expm1.f64 x))))
(*.f64 (neg.f64 #s(literal 1 binary64)) (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 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 (neg.f64 #s(literal 1 binary64)) (expm1.f64 x)) (neg.f64 (cosh.f64 x))) (*.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (expm1.f64 x)) (sinh.f64 (neg.f64 x))))
(+.f64 (*.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (expm1.f64 x)) (sinh.f64 (neg.f64 x))) (*.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (expm1.f64 x)) (neg.f64 (cosh.f64 x))))
(+.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 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 0 binary64)))
(+.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 (neg.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 (neg.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 (neg.f64 #s(literal 2 binary64)) (exp.f64 x)) (*.f64 (neg.f64 #s(literal 2 binary64)) (expm1.f64 x)))
(/.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)) (neg.f64 #s(literal 1 binary64))) (expm1.f64 x))
(/.f64 (*.f64 (neg.f64 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 (neg.f64 (expm1.f64 x)) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 x)) (*.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) #s(literal 2 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)) (/.f64 #s(literal 2 binary64) (expm1.f64 x))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (neg.f64 #s(literal 1 binary64))) (*.f64 (neg.f64 (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 #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 (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)) (expm1.f64 x)))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 x))) (*.f64 (neg.f64 (expm1.f64 x)) #s(literal 2 binary64)))
(/.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 1 binary64) (*.f64 (expm1.f64 x) (exp.f64 x))) (*.f64 (expm1.f64 x) (expm1.f64 x)))
(/.f64 (*.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (exp.f64 x))) (expm1.f64 x))
(/.f64 (*.f64 (neg.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 (exp.f64 x) (/.f64 #s(literal 2 binary64) (expm1.f64 x))) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 #s(literal 2 binary64)) (/.f64 (exp.f64 x) (expm1.f64 x))) (neg.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 #s(literal 2 binary64)) (*.f64 (expm1.f64 x) (exp.f64 x))) (*.f64 (neg.f64 #s(literal 2 binary64)) (*.f64 (expm1.f64 x) (expm1.f64 x))))
(/.f64 (*.f64 (neg.f64 #s(literal 2 binary64)) (neg.f64 (exp.f64 x))) (*.f64 (neg.f64 #s(literal 2 binary64)) (neg.f64 (expm1.f64 x))))
(/.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)) (expm1.f64 x) (sinh.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)) (*.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) (neg.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (expm1.f64 x)) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.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))) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (expm1.f64 x))) (*.f64 (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64))) (neg.f64 #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)) (neg.f64 (expm1.f64 x))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64))) (neg.f64 #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)) (*.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 2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) #s(literal 2 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 1 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)) (expm1.f64 x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64)))) (*.f64 (neg.f64 (expm1.f64 x)) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.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)) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 #s(literal 2 binary64)) (fma.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (expm1.f64 x) (sinh.f64 x))) (*.f64 (neg.f64 #s(literal 2 binary64)) (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) (+.f64 #s(literal 2 binary64) #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 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64)))) (*.f64 (*.f64 (expm1.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) #s(literal 2 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 (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))))
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#s(literal 1 binary64)
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(-.f64 #s(literal 1 binary64) #s(literal 0 binary64))
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(fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 0 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 (neg.f64 #s(literal 1 binary64)) (expm1.f64 x)) #s(literal 1 binary64))
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(fma.f64 (neg.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal 1 binary64)))
(neg.f64 (neg.f64 #s(literal 1 binary64)))
(pow.f64 #s(literal 1 binary64) #s(literal -1 binary64))
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(sqrt.f64 #s(literal 1 binary64))

eval83.0ms (1.4%)

Memory
-11.1MiB live, 95.4MiB allocated; 59ms collecting garbage
Compiler

Compiled 5 678 to 1 651 computations (70.9% saved)

prune11.0ms (0.2%)

Memory
24.6MiB live, 24.6MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New5716577
Fresh000
Picked101
Done000
Total5726578
Accuracy
100.0%
Counts
578 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (exp.f64 x) (expm1.f64 x))
4.4%
(/.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)))
100.0%
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
65.5%
#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))
65.4%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
65.3%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 112 to 100 computations (10.7% saved)

series113.0ms (1.9%)

Memory
-4.5MiB live, 88.1MiB allocated; 6ms collecting garbage
Counts
24 → 35
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 #s(literal 1 binary64) x))
(/.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))
(/.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 (* (/ 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 (* 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 (* (/ 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 (* 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:

TimeVariablePointExpression
5.0ms
x
@inf
((* (/ 1 (- (exp x) 1)) (exp x)) (/ 1 (- (exp x) 1)) 1 (- (exp x) 1) x (exp x) (/ (exp x) (- (exp x) 1)) (/ 1 x) (/ (exp x) (- (exp x) 1)) (/ (+ 1 (* 1/2 x)) x) (+ 1 (* 1/2 x)) (* 1/2 x) 1/2 (/ (exp x) (- (exp x) 1)) (exp x) (+ 1 x) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (+ 1 (* x (+ 1/2 (* 1/12 x)))) (* x (+ 1/2 (* 1/12 x))) (+ 1/2 (* 1/12 x)) (* 1/12 x) 1/12)
4.0ms
x
@-inf
((* (/ 1 (- (exp x) 1)) (exp x)) (/ 1 (- (exp x) 1)) 1 (- (exp x) 1) x (exp x) (/ (exp x) (- (exp x) 1)) (/ 1 x) (/ (exp x) (- (exp x) 1)) (/ (+ 1 (* 1/2 x)) x) (+ 1 (* 1/2 x)) (* 1/2 x) 1/2 (/ (exp x) (- (exp x) 1)) (exp x) (+ 1 x) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (+ 1 (* x (+ 1/2 (* 1/12 x)))) (* x (+ 1/2 (* 1/12 x))) (+ 1/2 (* 1/12 x)) (* 1/12 x) 1/12)
2.0ms
x
@0
((* (/ 1 (- (exp x) 1)) (exp x)) (/ 1 (- (exp x) 1)) 1 (- (exp x) 1) x (exp x) (/ (exp x) (- (exp x) 1)) (/ 1 x) (/ (exp x) (- (exp x) 1)) (/ (+ 1 (* 1/2 x)) x) (+ 1 (* 1/2 x)) (* 1/2 x) 1/2 (/ (exp x) (- (exp x) 1)) (exp x) (+ 1 x) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) (+ 1 (* x (+ 1/2 (* 1/12 x)))) (* x (+ 1/2 (* 1/12 x))) (+ 1/2 (* 1/12 x)) (* 1/12 x) 1/12)

rewrite954.0ms (15.7%)

Memory
-23.8MiB live, 600.0MiB allocated; 177ms collecting garbage
Counts
24 → 643
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 #s(literal 1 binary64) x))
(/.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))
(/.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 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 (neg.f64 #s(literal 1 binary64)) (expm1.f64 x)))
(*.f64 (/.f64 (neg.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 (neg.f64 #s(literal 1 binary64)) (*.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (expm1.f64 x)) (exp.f64 x)))
(*.f64 (neg.f64 #s(literal 1 binary64)) (/.f64 (neg.f64 (exp.f64 x)) (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 (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 (/.f64 (cosh.f64 x) (expm1.f64 x)) (*.f64 (sinh.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(-.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (*.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (expm1.f64 x)) (sinh.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)) (exp.f64 x)) (*.f64 #s(literal 2 binary64) (expm1.f64 x)))
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 x))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)) (neg.f64 (exp.f64 x))) (*.f64 #s(literal 2 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 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (cosh.f64 x) (/.f64 (sinh.f64 x) (expm1.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (sinh.f64 x) (/.f64 (cosh.f64 x) (expm1.f64 x)))
(fma.f64 (*.f64 (cosh.f64 x) (neg.f64 #s(literal 1 binary64))) (/.f64 (neg.f64 #s(literal 1 binary64)) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x)))
(fma.f64 (*.f64 (sinh.f64 x) (neg.f64 #s(literal 1 binary64))) (/.f64 (neg.f64 #s(literal 1 binary64)) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x)))
(fma.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) #s(literal 1 binary64) (/.f64 (sinh.f64 x) (expm1.f64 x)))
(fma.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) #s(literal 1 binary64) (/.f64 (cosh.f64 x) (expm1.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (expm1.f64 x)) (/.f64 (cosh.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 (neg.f64 #s(literal 1 binary64)) (*.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (expm1.f64 x)) (cosh.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x)))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (*.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (expm1.f64 x)) (sinh.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x)))
(neg.f64 (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 x)))
(neg.f64 (*.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (expm1.f64 x)) (exp.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (expm1.f64 x)) (neg.f64 #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(*.f64 (neg.f64 #s(literal 1 binary64)) (/.f64 (neg.f64 #s(literal 1 binary64)) (expm1.f64 x)))
(*.f64 (neg.f64 #s(literal 1 binary64)) (*.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (expm1.f64 x)) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 0 binary64) (expm1.f64 x)))
(+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 0 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(/.f64 #s(literal 1 binary64) (expm1.f64 x))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (expm1.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) (*.f64 (expm1.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (expm1.f64 x)))
(/.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (expm1.f64 x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) (*.f64 (neg.f64 (expm1.f64 x)) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)) (neg.f64 #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (neg.f64 (expm1.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (expm1.f64 x)))
(fma.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (expm1.f64 x)) (neg.f64 #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (expm1.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 0 binary64) (expm1.f64 x)))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (/.f64 (neg.f64 #s(literal 1 binary64)) (expm1.f64 x)) (/.f64 #s(literal 0 binary64) (expm1.f64 x)))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (*.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (expm1.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (expm1.f64 x)))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (*.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (expm1.f64 x)) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (*.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (expm1.f64 x)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (/.f64 (neg.f64 #s(literal 1 binary64)) (expm1.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 0 binary64)))
(fma.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (expm1.f64 x)) (neg.f64 #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (/.f64 (neg.f64 #s(literal 1 binary64)) (expm1.f64 x)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (expm1.f64 x)) (neg.f64 #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(neg.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (expm1.f64 x)))
(neg.f64 (*.f64 (/.f64 (neg.f64 #s(literal 1 binary64)) (expm1.f64 x)) #s(literal 1 binary64)))
(pow.f64 (expm1.f64 x) #s(literal -1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) x)
(*.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 #s(literal 1 binary64)))
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(fma.f64 (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x))
(fma.f64 (neg.f64 #s(literal 1/2 binary64)) (/.f64 x (neg.f64 x)) (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x))
(fma.f64 #s(literal 1 binary64) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x))
(neg.f64 (-.f64 (neg.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))))
(neg.f64 (*.f64 (neg.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 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))))
(+.f64 (*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+.f64 (fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #s(literal 0 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) x) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(+.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)))
(+.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/12 binary64) x) x))
(+.f64 (fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #s(literal 0 binary64)))
(+.f64 (fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (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) (+.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) (neg.f64 x))))
(-.f64 (*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) (neg.f64 #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) (neg.f64 x)))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) (neg.f64 x) (neg.f64 #s(literal 1 binary64))))
(-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) x) x)))
(-.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) x) x))) (neg.f64 (*.f64 #s(literal 1/2 binary64) x)))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) x) x)) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (neg.f64 #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/12 binary64) x) x)))
(/.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) (fma.f64 x #s(literal 1/2 binary64) #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 #s(literal 1/12 binary64) (*.f64 x x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal 1/12 binary64) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) (neg.f64 x) #s(literal 1 binary64))
(fma.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) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/12 binary64) x) x))
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (neg.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))))
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/12 binary64) x) x))
(fma.f64 #s(literal 1/2 binary64) x (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) x (*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))))
(fma.f64 x (/.f64 #s(literal 1 binary64) x) (*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/12 binary64) x) x))
(fma.f64 (neg.f64 x) (neg.f64 #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 #s(literal 1 binary64)) (*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))))
(fma.f64 (neg.f64 #s(literal 1/2 binary64)) (neg.f64 x) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) x) (*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) x) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) (neg.f64 x))))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) x) (+.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))))
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.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) (*.f64 (fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) (*.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
(fma.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) (*.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) x (+.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))))
(fma.f64 x (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) (neg.f64 x))))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) (neg.f64 x))))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) (neg.f64 x))))
(fma.f64 x (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) (neg.f64 x))))
(fma.f64 (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) (neg.f64 x))))
(neg.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 (*.f64 (neg.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)))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x)
(*.f64 (neg.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) (neg.f64 x))
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) x) x) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 #s(literal 1/12 binary64) x) x))
(+.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) x) x))) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) x) x))))
(-.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) x) x) (neg.f64 (*.f64 #s(literal 1/2 binary64) x)))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) x) x)))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x (*.f64 #s(literal 1/12 binary64) x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/12 binary64) x) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal 1/12 binary64) x) x))
(fma.f64 (neg.f64 x) (neg.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/12 binary64) x) x))
(fma.f64 (neg.f64 #s(literal 1/2 binary64)) (neg.f64 x) (*.f64 (*.f64 #s(literal 1/12 binary64) x) x))
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) x) x))))
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) x) x))))
(fma.f64 (neg.f64 x) (neg.f64 #s(literal 1/2 binary64)) (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) x) x))))
(fma.f64 (neg.f64 #s(literal 1/2 binary64)) (neg.f64 x) (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) x) x))))
(neg.f64 (*.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) (neg.f64 x)))
(+.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))
(-.f64 (*.f64 #s(literal 1/12 binary64) x) (neg.f64 #s(literal 1/2 binary64)))
(-.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal 1/12 binary64) x)))
(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))
(fma.f64 (neg.f64 #s(literal 1/12 binary64)) (neg.f64 x) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 x) (neg.f64 #s(literal 1/12 binary64)) #s(literal 1/2 binary64))
(neg.f64 (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 #s(literal 1/12 binary64)) (neg.f64 x))
(*.f64 (neg.f64 x) (neg.f64 #s(literal 1/12 binary64)))
(neg.f64 (neg.f64 (*.f64 #s(literal 1/12 binary64) x)))
#s(literal 1/12 binary64)
(neg.f64 (neg.f64 #s(literal 1/12 binary64)))

eval136.0ms (2.2%)

Memory
-4.6MiB live, 86.2MiB allocated; 25ms collecting garbage
Compiler

Compiled 6 448 to 2 826 computations (56.2% saved)

prune18.0ms (0.3%)

Memory
22.2MiB live, 22.2MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New9256931
Fresh011
Picked235
Done000
Total92710937
Accuracy
100.0%
Counts
937 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (exp.f64 x) (expm1.f64 x))
4.4%
(/.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)))
100.0%
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
97.8%
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (exp x) 1) x)) (exp.f64 x))
65.6%
#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))))
65.5%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) x (*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))) x))
65.5%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) x))
65.4%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
65.3%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
65.4%
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
Compiler

Compiled 179 to 165 computations (7.8% saved)

series100.0ms (1.6%)

Memory
11.9MiB live, 11.9MiB allocated; 0ms collecting garbage
Counts
19 → 29
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 (/.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 binary64)
#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))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 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 (*.f64 x x) #s(literal 1/12 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) x))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) x)
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 x x)
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 (+ (* x 1/2) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* (* x x) 1/12) (+ (* x 1/2) 1)) (+.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 (/ (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 x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (/ 1 x) 1/2) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* x 1/2) 1) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* x 1/2) 1) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* 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 x) 1/12) (+ (* x 1/2) 1)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* (* x x) 1/12) (+ (* x 1/2) 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 x) 1/12) (+ (* x 1/2) 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 1/12) (+ (/ 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:

TimeVariablePointExpression
2.0ms
x
@-inf
((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (+ (/ 1 x) 1/2) (/ 1 x) 1 1/2 (/ (exp x) (- (exp x) 1)) (/ (+ (* x 1/2) 1) x) (+ (* x 1/2) 1) (/ (exp x) (- (exp x) 1)) (+ (* x 1/12) (+ (/ 1 x) 1/2)) 1/12 (/ (exp x) (- (exp x) 1)) (/ (+ (* (* x x) 1/12) (+ (* x 1/2) 1)) x) (+ (* (* x x) 1/12) (+ (* x 1/2) 1)) (* x x))
1.0ms
x
@inf
((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (+ (/ 1 x) 1/2) (/ 1 x) 1 1/2 (/ (exp x) (- (exp x) 1)) (/ (+ (* x 1/2) 1) x) (+ (* x 1/2) 1) (/ (exp x) (- (exp x) 1)) (+ (* x 1/12) (+ (/ 1 x) 1/2)) 1/12 (/ (exp x) (- (exp x) 1)) (/ (+ (* (* x x) 1/12) (+ (* x 1/2) 1)) x) (+ (* (* x x) 1/12) (+ (* x 1/2) 1)) (* x x))
1.0ms
x
@0
((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (+ (/ 1 x) 1/2) (/ 1 x) 1 1/2 (/ (exp x) (- (exp x) 1)) (/ (+ (* x 1/2) 1) x) (+ (* x 1/2) 1) (/ (exp x) (- (exp x) 1)) (+ (* x 1/12) (+ (/ 1 x) 1/2)) 1/12 (/ (exp x) (- (exp x) 1)) (/ (+ (* (* x x) 1/12) (+ (* x 1/2) 1)) x) (+ (* (* x x) 1/12) (+ (* x 1/2) 1)) (* x x))

rewrite870.0ms (14.3%)

Memory
-0.1MiB live, 233.3MiB allocated; 23ms collecting garbage
Counts
19 → 808
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 (/.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 binary64)
#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))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 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 (*.f64 x x) #s(literal 1/12 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) x))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) x)
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 x x)
Outputs
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 (neg.f64 #s(literal 1 binary64)) (expm1.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
(*.f64 (/.f64 (neg.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) (neg.f64 #s(literal 1 binary64))) (neg.f64 (expm1.f64 x)))
(/.f64 (*.f64 (neg.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 (neg.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)))) (*.f64 #s(literal 2 binary64) #s(literal 2 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))) (*.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (*.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(exp.f64 x)
(exp.f64 (+.f64 x #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (cosh.f64 x))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) #s(literal 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)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (neg.f64 (sinh.f64 (neg.f64 x))))
(neg.f64 (neg.f64 (exp.f64 x)))
(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 x x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) x))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 x) x))
(*.f64 (neg.f64 (fabs.f64 x)) (/.f64 (neg.f64 (fabs.f64 x)) x))
(+.f64 x (*.f64 #s(literal 0 binary64) x))
(+.f64 x (*.f64 x #s(literal 0 binary64)))
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(/.f64 (*.f64 x x) x)
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 x))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 0 binary64) x))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 0 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 x #s(literal 0 binary64)))
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) x) (*.f64 #s(literal 0 binary64) x))
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) x) (*.f64 x #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) x) (*.f64 #s(literal 0 binary64) x))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) x) (*.f64 x #s(literal 0 binary64)))
(fma.f64 (neg.f64 (fabs.f64 x)) (/.f64 (neg.f64 (fabs.f64 x)) x) (*.f64 #s(literal 0 binary64) x))
(fma.f64 (neg.f64 (fabs.f64 x)) (/.f64 (neg.f64 (fabs.f64 x)) x) (*.f64 x #s(literal 0 binary64)))
(neg.f64 (neg.f64 x))
(neg.f64 (/.f64 (neg.f64 (*.f64 x x)) x))
(+.f64 (exp.f64 x) (neg.f64 #s(literal 1 binary64)))
(+.f64 (neg.f64 #s(literal 1 binary64)) (exp.f64 x))
(+.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x))
(+.f64 (+.f64 (neg.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) (neg.f64 #s(literal 1 binary64))))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(-.f64 (expm1.f64 x) #s(literal 0 binary64))
(-.f64 (+.f64 (neg.f64 #s(literal 1 binary64)) (cosh.f64 x)) (sinh.f64 (neg.f64 x)))
(-.f64 (neg.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)) (neg.f64 #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) (neg.f64 #s(literal 1 binary64)))
(fma.f64 (neg.f64 #s(literal 1 binary64)) #s(literal 1 binary64) (exp.f64 x))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) (neg.f64 #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 #s(literal 1 binary64)) (exp.f64 x))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (cosh.f64 x) (neg.f64 #s(literal 1 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(neg.f64 (neg.f64 (expm1.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) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 #s(literal 1 binary64)) (-.f64 (neg.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x x)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x))))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (*.f64 x x)) (/.f64 x (*.f64 x x)))
(+.f64 (/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)) (neg.f64 (*.f64 x x))) (/.f64 (neg.f64 x) (neg.f64 (*.f64 x x))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 #s(literal 1/2 binary64)))
(-.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 x)))
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(fma.f64 (neg.f64 x) (-.f64 (neg.f64 (*.f64 x #s(literal 1/12 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/12 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.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) (*.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
(fma.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) (*.f64 (fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x)))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x)))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x)))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x)))
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 #s(literal 1/12 binary64))) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 #s(literal 1/12 binary64))) (*.f64 x x)))
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 (neg.f64 (fma.f64 (*.f64 x #s(literal 1/12 binary64)) x #s(literal 1 binary64)))))
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 (neg.f64 (fma.f64 (*.f64 x #s(literal 1/12 binary64)) x #s(literal 1 binary64)))))
(fma.f64 (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) x (neg.f64 (neg.f64 (fma.f64 (*.f64 x #s(literal 1/12 binary64)) x #s(literal 1 binary64)))))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) x) (neg.f64 (neg.f64 (fma.f64 (*.f64 x #s(literal 1/12 binary64)) x #s(literal 1 binary64)))))
(fma.f64 x (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 (fma.f64 (*.f64 x #s(literal 1/12 binary64)) x #s(literal 1 binary64)))))
(neg.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 (*.f64 (neg.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)))
(*.f64 x x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(fabs.f64 (*.f64 x x))
(fabs.f64 (neg.f64 (*.f64 x x)))
(neg.f64 (neg.f64 (*.f64 x x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))

eval104.0ms (1.7%)

Memory
15.5MiB live, 155.3MiB allocated; 25ms collecting garbage
Compiler

Compiled 6 937 to 2 827 computations (59.2% saved)

prune45.0ms (0.7%)

Memory
-18.1MiB live, 28.1MiB allocated; 4ms collecting garbage
Pruning

13 alts after pruning (6 fresh and 7 done)

PrunedKeptTotal
New9575962
Fresh112
Picked145
Done033
Total95913972
Accuracy
100.0%
Counts
972 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (exp.f64 x) (expm1.f64 x))
4.4%
(/.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)))
100.0%
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
97.8%
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (exp x) 1) x)) (exp.f64 x))
33.0%
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x x) (*.f64 x x))))
65.6%
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))
65.5%
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x x) x) x)))
65.6%
#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))))
65.4%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
65.3%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
65.4%
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
3.2%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
3.2%
#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 220 to 203 computations (7.7% saved)

series109.0ms (1.8%)

Memory
16.3MiB live, 16.3MiB allocated; 0ms collecting garbage
Counts
23 → 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 (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
#s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#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)) (fma.f64 x #s(literal 1/12 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))
(fma.f64 x #s(literal 1/12 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x x) (*.f64 x x))))
(fma.f64 x #s(literal 1/12 binary64) (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x x) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x x) (*.f64 x x))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) x x)
(*.f64 x #s(literal 1/2 binary64))
(*.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 (* 1/12 x) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (+ (* x 1/2) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (* x 1/2) (*.f64 #s(literal 1/2 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) #s(literal 1/2 binary64))
#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 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 1/2) 1) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (* x 1/2) x) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* (* x 1/2) x) x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.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 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:

TimeVariablePointExpression
3.0ms
x
@-inf
((* (/ 1 (- (exp x) 1)) (exp x)) (/ 1 (- (exp x) 1)) 1 (- (exp x) 1) x (exp x) (/ (exp x) (- (exp x) 1)) (+ (/ 1 x) 1/2) 1/2 (/ (exp x) (- (exp x) 1)) (+ (* x 1/12) (+ (/ 1 x) 1/2)) (* 1/12 x) 1/12 (/ (exp x) (- (exp x) 1)) (+ (* x 1/12) (/ (+ (* x 1/2) 1) x)) (/ (+ (* x 1/2) 1) x) (+ (* x 1/2) 1) (/ (exp x) (- (exp x) 1)) (+ (* x 1/12) (/ (+ (* (* x 1/2) x) x) (* x x))) (/ (+ (* (* x 1/2) x) x) (* x x)) (+ (* (* x 1/2) x) x) (* x 1/2) (* x x))
3.0ms
x
@inf
((* (/ 1 (- (exp x) 1)) (exp x)) (/ 1 (- (exp x) 1)) 1 (- (exp x) 1) x (exp x) (/ (exp x) (- (exp x) 1)) (+ (/ 1 x) 1/2) 1/2 (/ (exp x) (- (exp x) 1)) (+ (* x 1/12) (+ (/ 1 x) 1/2)) (* 1/12 x) 1/12 (/ (exp x) (- (exp x) 1)) (+ (* x 1/12) (/ (+ (* x 1/2) 1) x)) (/ (+ (* x 1/2) 1) x) (+ (* x 1/2) 1) (/ (exp x) (- (exp x) 1)) (+ (* x 1/12) (/ (+ (* (* x 1/2) x) x) (* x x))) (/ (+ (* (* x 1/2) x) x) (* x x)) (+ (* (* x 1/2) x) x) (* x 1/2) (* x x))
2.0ms
x
@0
((* (/ 1 (- (exp x) 1)) (exp x)) (/ 1 (- (exp x) 1)) 1 (- (exp x) 1) x (exp x) (/ (exp x) (- (exp x) 1)) (+ (/ 1 x) 1/2) 1/2 (/ (exp x) (- (exp x) 1)) (+ (* x 1/12) (+ (/ 1 x) 1/2)) (* 1/12 x) 1/12 (/ (exp x) (- (exp x) 1)) (+ (* x 1/12) (/ (+ (* x 1/2) 1) x)) (/ (+ (* x 1/2) 1) x) (+ (* x 1/2) 1) (/ (exp x) (- (exp x) 1)) (+ (* x 1/12) (/ (+ (* (* x 1/2) x) x) (* x x))) (/ (+ (* (* x 1/2) x) x) (* x x)) (+ (* (* x 1/2) x) x) (* x 1/2) (* x x))

rewrite989.0ms (16.2%)

Memory
-36.6MiB live, 158.8MiB allocated; 28ms collecting garbage
Counts
23 → 1 315
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 (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
#s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#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)) (fma.f64 x #s(literal 1/12 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))
(fma.f64 x #s(literal 1/12 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x x) (*.f64 x x))))
(fma.f64 x #s(literal 1/12 binary64) (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x x) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x x) (*.f64 x x))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) x x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 x 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)
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(*.f64 x (/.f64 #s(literal 1 binary64) x))
(fabs.f64 #s(literal 1 binary64))
(fabs.f64 (neg.f64 #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 #s(literal 0 binary64)))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(/.f64 x x)
(/.f64 (*.f64 #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fabs.f64 #s(literal 2 binary64)) (fabs.f64 #s(literal 2 binary64)))
(/.f64 (neg.f64 #s(literal 2 binary64)) (neg.f64 #s(literal 2 binary64)))
(/.f64 (neg.f64 x) (neg.f64 x))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (exp.f64 (neg.f64 (neg.f64 #s(literal 0 binary64))))) #s(literal 2 binary64))
(cosh.f64 #s(literal 0 binary64))
(cosh.f64 (neg.f64 #s(literal 0 binary64)))
(cosh.f64 (neg.f64 (neg.f64 #s(literal 0 binary64))))
(exp.f64 #s(literal 0 binary64))
(exp.f64 (*.f64 #s(literal 0 binary64) #s(literal 2 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) #s(literal 1 binary64)))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 x (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 0 binary64) #s(literal 1 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(neg.f64 (neg.f64 #s(literal 1 binary64)))
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(fma.f64 x (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1/2 binary64) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (copysign.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (copysign.f64 #s(literal 1 binary64) x)) (copysign.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 (*.f64 x x) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 (*.f64 x x) (fabs.f64 x)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 x)) (/.f64 (*.f64 x x) (neg.f64 x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (/.f64 (*.f64 x x) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) (neg.f64 #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (copysign.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 1/2 binary64))
(fma.f64 (copysign.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(fma.f64 (copysign.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (copysign.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (neg.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (*.f64 x x) (neg.f64 (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (neg.f64 (fabs.f64 x))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 (fabs.f64 x))) (/.f64 (*.f64 x x) (neg.f64 (fabs.f64 x))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (fabs.f64 x))) (/.f64 x (neg.f64 (fabs.f64 x))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 x (neg.f64 (fabs.f64 x))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (fabs.f64 x))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(neg.f64 (-.f64 (neg.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x x) #s(literal 1 binary64))
(*.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 x))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x x))
(+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) x)
(+.f64 x (*.f64 (*.f64 x #s(literal 1/2 binary64)) x))
(+.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x x) (*.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x x)))
(+.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x x) (*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x x) #s(literal 0 binary64)))
(+.f64 x (*.f64 (neg.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64)))) x))
(-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (neg.f64 x))
(-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 x (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)))
(/.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) x x)
(fma.f64 (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x)
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x)
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (copysign.f64 #s(literal 1 binary64) x)) (*.f64 (copysign.f64 #s(literal 1 binary64) x) (*.f64 x x)) x)
(fma.f64 (*.f64 (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (fabs.f64 x)) (fabs.f64 x) x)
(fma.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x) x)
(fma.f64 (neg.f64 (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) (*.f64 (neg.f64 #s(literal 1 binary64)) (*.f64 x x)) x)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (fabs.f64 x) x)
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) x)
(fma.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x x)) x)
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) x)
(fma.f64 (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x x)) x)
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)) x)
(fma.f64 (neg.f64 x) (neg.f64 (*.f64 x #s(literal 1/2 binary64))) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 x #s(literal 1/2 binary64)) x))
(fma.f64 (*.f64 (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) x)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) x)
(fma.f64 (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64)) x)
(fma.f64 (copysign.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 #s(literal 1/2 binary64) (copysign.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x)
(fma.f64 (neg.f64 #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) (*.f64 x x)) x)
(fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)) x)
(fma.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 x) (*.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x x)))
(fma.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 x) (*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x x) (*.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x x)))
(fma.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x x) (*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x x) #s(literal 0 binary64)))
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x (*.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x x)))
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x (*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x x) #s(literal 0 binary64)))
(fma.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x x)))
(fma.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x x) #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x x) #s(literal 0 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x x)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64)))) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64)))) x))
(neg.f64 (neg.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x x)))
(neg.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x x)) #s(literal 1 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) x)
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 x (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) x))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)) (neg.f64 x))
(/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) x)
(*.f64 x x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x))
(*.f64 (fabs.f64 x) (neg.f64 (neg.f64 (fabs.f64 x))))
(fabs.f64 (*.f64 x x))
(fabs.f64 (neg.f64 (*.f64 x x)))
(neg.f64 (neg.f64 (*.f64 x x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))

eval178.0ms (2.9%)

Memory
5.9MiB live, 73.9MiB allocated; 103ms collecting garbage
Compiler

Compiled 7 316 to 3 183 computations (56.5% saved)

prune38.0ms (0.6%)

Memory
-15.1MiB live, 34.6MiB allocated; 8ms collecting garbage
Pruning

13 alts after pruning (3 fresh and 10 done)

PrunedKeptTotal
New8982900
Fresh011
Picked145
Done167
Total90013913
Accuracy
100.0%
Counts
913 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (exp.f64 x) (expm1.f64 x))
100.0%
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
97.8%
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (exp x) 1) x)) (exp.f64 x))
64.6%
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (exp x) 1) x)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))
32.4%
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))
65.6%
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))
65.5%
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x x) x) x)))
65.6%
#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))))
65.4%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
65.3%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
65.4%
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
3.2%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
3.2%
#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 254 to 209 computations (17.7% saved)

regimes23.0ms (0.4%)

Memory
17.1MiB live, 17.1MiB allocated; 0ms collecting garbage
Counts
20 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
#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 (+.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 #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)) (fma.f64 x #s(literal 1/12 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) #s(literal 1/2 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))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) (fma.f64 x #s(literal 1/2 binary64) #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)) (fma.f64 x #s(literal 1/12 binary64) (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x x) (*.f64 x x))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) x (*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x x) x) x)))
(/.f64 (exp.f64 x) (expm1.f64 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 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
Calls

3 calls:

11.0ms
x
7.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
4.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
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 9 to 8 computations (11.1% saved)

regimes13.0ms (0.2%)

Memory
16.4MiB live, 16.4MiB allocated; 0ms collecting garbage
Counts
18 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
#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 (+.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 #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)) (fma.f64 x #s(literal 1/12 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) #s(literal 1/2 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))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) (fma.f64 x #s(literal 1/2 binary64) #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)) (fma.f64 x #s(literal 1/12 binary64) (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x x) (*.f64 x x))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) x (*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x x) x) x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
Outputs
(/.f64 (exp.f64 x) (expm1.f64 x))
Calls

3 calls:

5.0ms
x
4.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
3.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
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 9 to 8 computations (11.1% saved)

regimes14.0ms (0.2%)

Memory
-30.6MiB live, 15.6MiB allocated; 1ms collecting garbage
Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
#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 (+.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 #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)) (fma.f64 x #s(literal 1/12 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) #s(literal 1/2 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))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) (fma.f64 x #s(literal 1/2 binary64) #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)) (fma.f64 x #s(literal 1/12 binary64) (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x x) (*.f64 x x))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) x (*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x x) x) x)))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (exp x) 1) x)) (exp.f64 x))
Calls

3 calls:

5.0ms
x
3.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
3.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
97.8%1(exp.f64 x)
97.8%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
97.8%1x
Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes10.0ms (0.2%)

Memory
13.5MiB live, 13.5MiB allocated; 0ms collecting garbage
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
#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 (+.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 #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)) (fma.f64 x #s(literal 1/12 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) #s(literal 1/2 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))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) (fma.f64 x #s(literal 1/2 binary64) #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))))
Calls

3 calls:

4.0ms
x
3.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
3.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
65.6%1(exp.f64 x)
65.6%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
65.6%1x
Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes6.0ms (0.1%)

Memory
9.8MiB live, 9.8MiB allocated; 0ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
#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 (+.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)))
Calls

3 calls:

2.0ms
x
2.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
2.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
65.4%1x
65.4%1(exp.f64 x)
65.4%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes4.0ms (0.1%)

Memory
6.8MiB live, 6.8MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
#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))
Calls

3 calls:

2.0ms
x
1.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
1.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
65.3%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
65.3%1(exp.f64 x)
65.3%1x
Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes4.0ms (0.1%)

Memory
-41.3MiB live, 6.1MiB allocated; 1ms collecting garbage
Accuracy

Total -0.5b remaining (-0.8%)

Threshold costs -0.5b (-0.8%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
#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 (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))
Calls

3 calls:

2.0ms
(exp.f64 x)
1.0ms
x
1.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
3.2%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
3.2%1(exp.f64 x)
3.2%1x
Compiler

Compiled 9 to 8 computations (11.1% saved)

derivations1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated; 0ms collecting garbage
Stop Event
fuel
Compiler

Compiled 43 to 27 computations (37.2% saved)

preprocess56.0ms (0.9%)

Memory
6.1MiB live, 105.3MiB allocated; 8ms collecting garbage
Compiler

Compiled 55 to 38 computations (30.9% saved)

end0.0ms (0%)

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

Profiling

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