Hyperbolic secant

Time bar (total: 1.3s)

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
100%100%0%0%0%0%0%2
Compiler

Compiled 10 to 9 computations (10% saved)

sample685.0ms (52%)

Memory
54.4MiB live, 1 137.3MiB allocated; 252ms collecting garbage
Samples
499.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 324.0ms
ival-exp: 209.0ms (64.5% of total)
ival-div!: 44.0ms (13.6% of total)
ival-add!: 37.0ms (11.4% of total)
ival-neg: 33.0ms (10.2% of total)
adjust: 2.0ms (0.6% of total)
Bogosity

preprocess49.0ms (3.7%)

Memory
-40.1MiB live, 56.5MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01218
15212
218012
3139012
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Symmetry

(abs x)

Compiler

Compiled 16 to 14 computations (12.5% saved)

series8.0ms (0.6%)

Memory
14.1MiB live, 14.1MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089306
Stop Event
iter-limit
Counts
7 → 23
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
#s(literal 2 binary64)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
Outputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (+ (exp x) (exp (neg x))) #s(literal 2 binary64))
#s(approx (+ (exp x) (exp (neg x))) (+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (exp x) (exp (neg x))) (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (exp x) (exp (neg x))) (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 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 (neg x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))
#s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))))
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
#s(approx (+ (exp x) (exp (neg x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
#s(approx (exp x) (exp.f64 x))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))))
#s(approx (+ (exp x) (exp (neg x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
#s(approx (exp (neg x)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
Calls

3 calls:

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

rewrite52.0ms (3.9%)

Memory
10.2MiB live, 54.5MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0723
01219
15217
046717
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
7 → 109
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
#s(literal 2 binary64)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
Outputs
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(pow.f64 (cosh.f64 x) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64))) (exp.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (cosh.f64 x)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
#s(literal 2 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (exp.f64 (neg.f64 x))) (exp.f64 x))) (exp.f64 x))
(*.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (exp.f64 x))
(*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(*.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))))
(*.f64 (cosh.f64 x) #s(literal 2 binary64))
(*.f64 (exp.f64 x) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (pow.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (*.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(/.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (expm1.f64 (+.f64 x x))))
(/.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))) (cosh.f64 x) (exp.f64 x))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.f64 x) (exp.f64 (neg.f64 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.f64 x) (exp.f64 x))
(fma.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x)))
(fma.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) (neg.f64 (exp.f64 (neg.f64 x)))))
(fma.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x))
(fma.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (cosh.f64 x) (*.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (sinh.f64 x)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (exp.f64 x))
(fma.f64 (cosh.f64 x) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (*.f64 (sinh.f64 x) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64))))
(fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x)))
(fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (-.f64 (sinh.f64 x) (neg.f64 (exp.f64 (neg.f64 x)))))
(fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (cosh.f64 x))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (+.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x)))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (+.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) (neg.f64 (exp.f64 (neg.f64 x)))))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (cosh.f64 x))
(-.f64 (+.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 x))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(-.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (exp.f64 x)))
(-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 x)))
(-.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (cosh.f64 x)) (sinh.f64 x))
(+.f64 (+.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 (neg.f64 x)))
(+.f64 (*.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (cosh.f64 x)) (*.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (sinh.f64 x)))
(+.f64 (*.f64 (cosh.f64 x) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64))) (*.f64 (sinh.f64 x) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64))))
(+.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x)))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (neg.f64 (exp.f64 (neg.f64 x)))))
(+.f64 (cosh.f64 x) (cosh.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.f64 x))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(fma.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)) (sinh.f64 x))
(fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (sinh.f64 x))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 x))
(sqrt.f64 (exp.f64 (+.f64 x x)))
(-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(fabs.f64 (neg.f64 (exp.f64 x)))
(fabs.f64 (exp.f64 x))
(exp.f64 x)
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
x
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))) (cosh.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.f64 x))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)))) (exp.f64 x))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x))) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (sinh.f64 x) (sinh.f64 x) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(neg.f64 (neg.f64 (exp.f64 (neg.f64 x))))
(fma.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)) (sinh.f64 (neg.f64 x)))
(fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (sinh.f64 (neg.f64 x)))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 (neg.f64 x)))
(sqrt.f64 (exp.f64 (-.f64 (neg.f64 x) x)))
(-.f64 (cosh.f64 x) (neg.f64 (sinh.f64 (neg.f64 x))))
(-.f64 (cosh.f64 x) (sinh.f64 x))
(fabs.f64 (neg.f64 (exp.f64 (neg.f64 x))))
(fabs.f64 (exp.f64 (neg.f64 x)))
(exp.f64 (neg.f64 x))
(+.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(neg.f64 x)

eval11.0ms (0.8%)

Memory
25.5MiB live, 25.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 824 to 440 computations (75.9% saved)

prune9.0ms (0.7%)

Memory
-34.4MiB live, 10.8MiB allocated; 9ms collecting garbage
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1197126
Fresh000
Picked101
Done000
Total1207127
Accuracy
100.0%
Counts
127 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64))) (exp.f64 x))
100.0%
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
47.2%
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))))
47.3%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
47.1%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
47.4%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Compiler

Compiled 204 to 160 computations (21.6% saved)

series18.0ms (1.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0181717
Stop Event
iter-limit
Counts
21 → 46
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64))) (exp.f64 x))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64)))
#s(literal 2 binary64)
(+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64))
(exp.f64 (-.f64 (neg.f64 x) x))
(-.f64 (neg.f64 x) x)
(neg.f64 x)
x
#s(literal 1 binary64)
(exp.f64 x)
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(cosh.f64 x)
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(pow.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
Outputs
#s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) #s(literal 1 binary64))
#s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (/ 2 (+ (exp (- (neg x) x)) 1)) (+.f64 #s(literal 1 binary64) x))
#s(approx (/ 2 (+ (exp (- (neg x) x)) 1)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (/ 2 (+ (exp (- (neg x) x)) 1)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))))))
#s(approx (+ (exp (- (neg x) x)) 1) #s(literal 2 binary64))
#s(approx (+ (exp (- (neg x) x)) 1) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)))
#s(approx (+ (exp (- (neg x) x)) 1) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))))
#s(approx (+ (exp (- (neg x) x)) 1) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -4/3 binary64) x))) #s(literal 2 binary64)))))
#s(approx (exp (- (neg x) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x)))
#s(approx (exp (- (neg x) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))))
#s(approx (exp (- (neg x) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -4/3 binary64) x))) #s(literal 2 binary64)))))
#s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx x 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 (cosh x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cosh x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (cosh x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (* -1/2 (pow x 2)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (exp x) (/ 1 (exp x))) (+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (exp x) (/ 1 (exp x))) (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (exp x) (/ 1 (exp x))) (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (/ 1 (exp x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(approx (/ 1 (exp x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))
#s(approx (/ 1 (exp x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))))
#s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (/.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x)))))))
#s(approx (/ 2 (+ (exp (- (neg x) x)) 1)) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x))))))
#s(approx (+ (exp (- (neg x) x)) 1) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x)))))
#s(approx (exp (- (neg x) x)) (exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x))))
#s(approx (exp x) (exp.f64 x))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
#s(approx (/ 1 (cosh x)) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))))
#s(approx (cosh x) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))))
#s(approx (+ 1 (* -1/2 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (+ (exp x) (/ 1 (exp x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
#s(approx (/ 1 (exp x)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
#s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (/.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
#s(approx (/ 2 (+ (exp (- (neg x) x)) 1)) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
#s(approx (+ (exp (- (neg x) x)) 1) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
#s(approx (exp (- (neg x) x)) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))))
Calls

3 calls:

TimeVariablePoint
6.0ms
x
inf
4.0ms
x
-inf
2.0ms
x
0

rewrite32.0ms (2.4%)

Memory
-9.5MiB live, 36.2MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026112
04187
018085
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
21 → 102
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64))) (exp.f64 x))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64)))
#s(literal 2 binary64)
(+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64))
(exp.f64 (-.f64 (neg.f64 x) x))
(-.f64 (neg.f64 x) x)
(neg.f64 x)
x
#s(literal 1 binary64)
(exp.f64 x)
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(cosh.f64 x)
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(pow.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
Outputs
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(pow.f64 (cosh.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64)))) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (cosh.f64 x)))
(/.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))))
(/.f64 #s(literal -2 binary64) (neg.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64)))
#s(literal 2 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) (exp.f64 (-.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 1 binary64)) (expm1.f64 (-.f64 (neg.f64 x) x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (-.f64 (neg.f64 x) x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64)))))
(-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
(+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64))
(/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(fabs.f64 (exp.f64 (-.f64 (neg.f64 x) x)))
(exp.f64 (-.f64 (neg.f64 x) x))
(+.f64 (cosh.f64 (-.f64 (neg.f64 x) x)) (sinh.f64 (-.f64 (neg.f64 x) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x))) (neg.f64 x))
(/.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 x x)) (+.f64 (neg.f64 x) x))
(/.f64 (-.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (neg.f64 x) (neg.f64 x) (fma.f64 x x (*.f64 (neg.f64 x) x))))
(neg.f64 (-.f64 x (neg.f64 x)))
(-.f64 (neg.f64 x) x)
(+.f64 (neg.f64 x) (neg.f64 x))
(neg.f64 x)
x
#s(literal 1 binary64)
(fabs.f64 (exp.f64 x))
(exp.f64 x)
(+.f64 (cosh.f64 x) (sinh.f64 x))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(pow.f64 (cosh.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64)))) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (cosh.f64 x)))
(/.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 x))
(cosh.f64 x)
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
#s(literal -1/2 binary64)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(pow.f64 (cosh.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64)))) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (cosh.f64 x)))
(/.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(*.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64)) (exp.f64 x))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
(/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (-.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (exp.f64 x))
(-.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(-.f64 (cosh.f64 x) (sinh.f64 x))
(fabs.f64 (exp.f64 (neg.f64 x)))
(exp.f64 (neg.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))

eval11.0ms (0.8%)

Memory
18.2MiB live, 18.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 984 to 505 computations (74.5% saved)

prune5.0ms (0.4%)

Memory
5.4MiB live, 5.4MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1144118
Fresh202
Picked235
Done000
Total1187125
Accuracy
100.0%
Counts
125 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1 binary64))) (exp.f64 x))
100.0%
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))) (exp.f64 x))
100.0%
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
47.3%
#s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
47.1%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
47.4%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Compiler

Compiled 99 to 78 computations (21.2% saved)

series71.0ms (5.4%)

Memory
-30.7MiB live, 39.2MiB allocated; 36ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02031168
Stop Event
iter-limit
Counts
32 → 64
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(literal 5/24 binary64)
(*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal -61/720 binary64)
#s(literal 1/2 binary64)
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))) (exp.f64 x))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)))
(+.f64 (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))
(exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x)))
#s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(exp.f64 x)
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1 binary64))) (exp.f64 x))
(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1 binary64)))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1 binary64))
(/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(exp.f64 (neg.f64 x))
(neg.f64 x)
Outputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
#s(approx (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2) (-.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
#s(approx (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ 5/24 (* -61/720 (pow x 2))) #s(literal 5/24 binary64))
#s(approx (+ 5/24 (* -61/720 (pow x 2))) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* -61/720 (pow x 2)) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ 2 (+ (exp (- (neg x) x)) 1)) (+.f64 #s(literal 1 binary64) x))
#s(approx (/ 2 (+ (exp (- (neg x) x)) 1)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (/ 2 (+ (exp (- (neg x) x)) 1)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))))))
#s(approx (+ (exp (- (neg x) x)) 1) #s(literal 2 binary64))
#s(approx (+ (exp (- (neg x) x)) 1) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)))
#s(approx (+ (exp (- (neg x) x)) 1) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))))
#s(approx (+ (exp (- (neg x) x)) 1) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -4/3 binary64) x))) #s(literal 2 binary64)))))
#s(approx (exp (- (neg x) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x)))
#s(approx (exp (- (neg x) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))))
#s(approx (exp (- (neg x) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -4/3 binary64) x))) #s(literal 2 binary64)))))
#s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))
#s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))))
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
#s(approx (+ (* (* x x) -1/2) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (/.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x)))))))
#s(approx (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 61/720 binary64))))
#s(approx (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 61/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 #s(literal 5/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 61/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 61/720 binary64))))
#s(approx (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 61/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (+ 5/24 (* -61/720 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 61/720 binary64))))
#s(approx (/ 2 (+ (exp (- (neg x) x)) 1)) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x))))))
#s(approx (+ (exp (- (neg x) x)) 1) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x)))))
#s(approx (exp (- (neg x) x)) (exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x))))
#s(approx (exp x) (exp.f64 x))
#s(approx (/ (/ 2 (+ (/ (exp (neg x)) (exp x)) 1)) (exp x)) (/.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))))
#s(approx (/ 2 (+ (/ (exp (neg x)) (exp x)) 1)) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))
#s(approx (+ (/ (exp (neg x)) (exp x)) 1) (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
#s(approx (/ (exp (neg x)) (exp x)) (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))))
#s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (/.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
#s(approx (/ 2 (+ (exp (- (neg x) x)) 1)) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
#s(approx (+ (exp (- (neg x) x)) 1) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
#s(approx (exp (- (neg x) x)) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
#s(approx (/ (/ 2 (+ (/ (exp (neg x)) (exp x)) 1)) (exp x)) (/.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (exp.f64 x))))))
#s(approx (/ 2 (+ (/ (exp (neg x)) (exp x)) 1)) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (exp.f64 x)))))
#s(approx (+ (/ (exp (neg x)) (exp x)) 1) (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (exp.f64 x))))
#s(approx (/ (exp (neg x)) (exp x)) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (exp.f64 x)))
#s(approx (exp (neg x)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
Calls

3 calls:

TimeVariablePoint
54.0ms
x
inf
8.0ms
x
-inf
2.0ms
x
0

rewrite78.0ms (5.9%)

Memory
-5.5MiB live, 39.1MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042243
065225
0311213
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
32 → 123
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(literal 5/24 binary64)
(*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal -61/720 binary64)
#s(literal 1/2 binary64)
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))) (exp.f64 x))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)))
(+.f64 (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))
(exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x)))
#s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(exp.f64 x)
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1 binary64))) (exp.f64 x))
(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1 binary64)))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1 binary64))
(/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(exp.f64 (neg.f64 x))
(neg.f64 x)
Outputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(-.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
x
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x))) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))))
(-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x))))
(+.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(literal 2 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x)))) (*.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x))) #s(literal 1/4 binary64)) (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)))))
(neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x))))
(fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) #s(literal -1/2 binary64))
(-.f64 (*.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x)) #s(literal -1/2 binary64))
(*.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)))
(fma.f64 #s(literal 5/24 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal -61/720 binary64) (*.f64 x x)) (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal -61/720 binary64) (*.f64 x x))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 (*.f64 x x) (*.f64 #s(literal -61/720 binary64) (*.f64 x x))))
(+.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal -61/720 binary64) (*.f64 x x)) (*.f64 x x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -61/720 binary64) (*.f64 x x)) #s(literal 5/24 binary64))) #s(literal 5/24 binary64))
(/.f64 (-.f64 #s(literal 25/576 binary64) (*.f64 (*.f64 #s(literal -61/720 binary64) (*.f64 x x)) (*.f64 #s(literal -61/720 binary64) (*.f64 x x)))) (-.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (*.f64 x x))))
(/.f64 (+.f64 #s(literal 125/13824 binary64) (pow.f64 (*.f64 #s(literal -61/720 binary64) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 25/576 binary64) (-.f64 (*.f64 (*.f64 #s(literal -61/720 binary64) (*.f64 x x)) (*.f64 #s(literal -61/720 binary64) (*.f64 x x))) (*.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (*.f64 x x))))))
(fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64))
(fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64))
(-.f64 #s(literal 5/24 binary64) (*.f64 #s(literal 61/720 binary64) (*.f64 x x)))
(-.f64 #s(literal 5/24 binary64) (neg.f64 (*.f64 #s(literal -61/720 binary64) (*.f64 x x))))
(+.f64 (*.f64 #s(literal -61/720 binary64) (*.f64 x x)) #s(literal 5/24 binary64))
(+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (*.f64 x x)))
#s(literal 5/24 binary64)
(*.f64 #s(literal -61/720 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal -61/720 binary64))
#s(literal -61/720 binary64)
#s(literal 1/2 binary64)
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64))) (exp.f64 (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64)))) (neg.f64 (exp.f64 x)))
(/.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64))) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 (-.f64 (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64)) (exp.f64 x)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64))))
(/.f64 #s(literal -2 binary64) (neg.f64 (-.f64 (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))))) (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))))
(/.f64 (-.f64 (*.f64 (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (expm1.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))))
(/.f64 (+.f64 (pow.f64 (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)))))
(-.f64 (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64))
(+.f64 (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))))
(fabs.f64 (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))))
(exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x)))
(+.f64 (cosh.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) (sinh.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))))
#s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
(fabs.f64 (exp.f64 x))
(exp.f64 x)
(+.f64 (cosh.f64 x) (sinh.f64 x))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64)))) (neg.f64 (exp.f64 x)))
(/.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))) (exp.f64 x))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))))
(/.f64 #s(literal -2 binary64) (neg.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) (exp.f64 (-.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 1 binary64)) (expm1.f64 (-.f64 (neg.f64 x) x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (-.f64 (neg.f64 x) x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64)))))
(fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))
(+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
(*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (neg.f64 (exp.f64 (neg.f64 x))) (neg.f64 (exp.f64 x)))
(/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fabs.f64 (exp.f64 (-.f64 (neg.f64 x) x)))
(exp.f64 (-.f64 (neg.f64 x) x))
(+.f64 (cosh.f64 (-.f64 (neg.f64 x) x)) (sinh.f64 (-.f64 (neg.f64 x) x)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(-.f64 (cosh.f64 x) (sinh.f64 x))
(fabs.f64 (exp.f64 (neg.f64 x)))
(exp.f64 (neg.f64 x))
(+.f64 (cosh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)))
(neg.f64 x)

eval27.0ms (2%)

Memory
-7.1MiB live, 38.8MiB allocated; 5ms collecting garbage
Compiler

Compiled 4 387 to 800 computations (81.8% saved)

prune5.0ms (0.4%)

Memory
13.7MiB live, 13.7MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1662168
Fresh000
Picked314
Done033
Total1696175
Accuracy
100.0%
Counts
175 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)) #s(literal 1 binary64))) (exp.f64 x))
100.0%
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
47.3%
#s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
47.1%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
47.4%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Compiler

Compiled 80 to 60 computations (25% saved)

series16.0ms (1.2%)

Memory
-14.3MiB live, 29.2MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0177812
Stop Event
iter-limit
Counts
17 → 44
Calls
Call 1
Inputs
#s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64))
#s(literal -61/720 binary64)
(*.f64 x x)
x
#s(literal 5/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)) #s(literal 1 binary64))) (exp.f64 x))
(/.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))
#s(literal 2 binary64)
(fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(exp.f64 (neg.f64 x))
(neg.f64 x)
(exp.f64 x)
Outputs
#s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) #s(literal 1 binary64))
#s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) #s(literal -1/2 binary64))
#s(approx (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (-.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
#s(approx (+ (* -61/720 (* x x)) 5/24) #s(literal 5/24 binary64))
#s(approx (+ (* -61/720 (* x x)) 5/24) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (/ 2 (+ (* (exp (neg x)) (exp (neg x))) 1)) (+.f64 #s(literal 1 binary64) x))
#s(approx (/ 2 (+ (* (exp (neg x)) (exp (neg x))) 1)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (/ 2 (+ (* (exp (neg x)) (exp (neg x))) 1)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))))))
#s(approx (+ (* (exp (neg x)) (exp (neg x))) 1) #s(literal 2 binary64))
#s(approx (+ (* (exp (neg x)) (exp (neg x))) 1) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)))
#s(approx (+ (* (exp (neg x)) (exp (neg x))) 1) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))))
#s(approx (+ (* (exp (neg x)) (exp (neg x))) 1) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -4/3 binary64) x))) #s(literal 2 binary64)))))
#s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))
#s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))))
#s(approx (neg 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 (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (/.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x)))))))
#s(approx (+ (* (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (* x x)) 1) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 61/720 binary64))))
#s(approx (+ (* (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 61/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (+ (* (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 #s(literal 5/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 61/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 61/720 binary64))))
#s(approx (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 61/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (+ (* -61/720 (* x x)) 5/24) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* -61/720 (* x x)) 5/24) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 61/720 binary64))))
#s(approx (/ (/ 2 (+ (* (exp (neg x)) (exp (neg x))) 1)) (exp x)) (/.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))))
#s(approx (/ 2 (+ (* (exp (neg x)) (exp (neg x))) 1)) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))))
#s(approx (+ (* (exp (neg x)) (exp (neg x))) 1) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (exp x) (exp.f64 x))
#s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (/.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
#s(approx (/ (/ 2 (+ (* (exp (neg x)) (exp (neg x))) 1)) (exp x)) (/.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))))))
#s(approx (/ 2 (+ (* (exp (neg x)) (exp (neg x))) 1)) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))))
#s(approx (+ (* (exp (neg x)) (exp (neg x))) 1) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))))
#s(approx (exp (neg x)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
Calls

3 calls:

TimeVariablePoint
6.0ms
x
-inf
3.0ms
x
inf
1.0ms
x
0

rewrite93.0ms (7.1%)

Memory
31.0MiB live, 125.6MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024109
038106
121788
0181088
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
17 → 268
Calls
Call 1
Inputs
#s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64))
#s(literal -61/720 binary64)
(*.f64 x x)
x
#s(literal 5/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)) #s(literal 1 binary64))) (exp.f64 x))
(/.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))
#s(literal 2 binary64)
(fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(exp.f64 (neg.f64 x))
(neg.f64 x)
(exp.f64 x)
Outputs
#s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64)))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x)) x)
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 x x))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x)) #s(literal 1 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x))
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal -1 binary64)))))
(*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1 binary64))))
(neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) x) x)) #s(literal 1 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) x) x) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))
(fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) x) x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) x) x) (*.f64 x x)) #s(literal 1 binary64))
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(+.f64 (cosh.f64 (+.f64 x x)) (+.f64 (sinh.f64 (+.f64 x x)) #s(literal 1 binary64)))
(+.f64 (cosh.f64 (+.f64 x x)) (-.f64 (sinh.f64 (+.f64 x x)) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))
(+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))) (cosh.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.f64 x))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)))) (exp.f64 x))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 x) (sinh.f64 x))) (exp.f64 x))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x))) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (sinh.f64 x) (sinh.f64 x) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(neg.f64 (neg.f64 (exp.f64 (neg.f64 x))))
(sqrt.f64 (exp.f64 (+.f64 x x)))
(-.f64 (cosh.f64 x) (neg.f64 (sinh.f64 (neg.f64 x))))
(-.f64 (cosh.f64 x) (sinh.f64 x))
(fabs.f64 (neg.f64 (exp.f64 (neg.f64 x))))
(fabs.f64 (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp.f64 (neg.f64 x))
(+.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(neg.f64 x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.f64 x))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 x) (sinh.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(sqrt.f64 (*.f64 (exp.f64 x) (exp.f64 x)))
(-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(fabs.f64 (neg.f64 (exp.f64 x)))
(fabs.f64 (exp.f64 x))
(exp.f64 x)
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))

eval65.0ms (5%)

Memory
-28.9MiB live, 60.3MiB allocated; 15ms collecting garbage
Compiler

Compiled 8 974 to 1 259 computations (86% saved)

prune7.0ms (0.5%)

Memory
11.7MiB live, 11.7MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New2982300
Fresh000
Picked112
Done044
Total2997306
Accuracy
100.0%
Counts
306 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)) #s(literal 1 binary64))) (exp.f64 x))
100.0%
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
47.3%
#s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (fma.f64 (fma.f64 #s(approx (+ (* -61/720 (* x x)) 5/24) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
47.3%
#s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64)))
47.1%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
47.4%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Compiler

Compiled 112 to 84 computations (25% saved)

regimes41.0ms (3.1%)

Memory
6.3MiB live, 58.6MiB allocated; 21ms collecting garbage
Accuracy

Total -0.4b remaining (-1.3%)

Threshold costs -0.4b (-1.3%)

Counts
2 → 1
9 → 1
16 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
Outputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Call 2
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
#s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (fma.f64 (fma.f64 #s(approx (+ (* -61/720 (* x x)) 5/24) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
Outputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
Call 3
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
#s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (fma.f64 (fma.f64 #s(approx (+ (* -61/720 (* x x)) 5/24) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))) (exp.f64 x))
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64))) (exp.f64 x))
(/.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)) #s(literal 1 binary64))) (exp.f64 x))
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1 binary64))) (exp.f64 x))
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
Outputs
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))) (exp.f64 x))
Calls

9 calls:

17.0ms
x
5.0ms
x
3.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
3.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
47.4%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
47.4%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
47.4%1x
100.0%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
100.0%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
100.0%1x
100.0%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
100.0%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
100.0%1x
Compiler

Compiled 334 to 133 computations (60.2% saved)

derivations7.0ms (0.5%)

Memory
13.8MiB live, 13.8MiB allocated; 0ms collecting garbage
Stop Event
fuel
Compiler

Compiled 30 to 21 computations (30% saved)

preprocess28.0ms (2.2%)

Memory
-29.1MiB live, 61.2MiB allocated; 13ms collecting garbage
Remove

(abs x)

Compiler

Compiled 98 to 80 computations (18.4% saved)

end0.0ms (0%)

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

Profiling

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