Hyperbolic secant

Time bar (total: 2.5s)

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%100.0%0.0%0.0%0.0%0.0%0
0.0%0.0%100.0%0.0%0.0%0.0%0.0%1
100.0%100.0%0.0%0.0%0.0%0.0%0.0%2
Compiler

Compiled 10 to 9 computations (10.0% saved)

sample1.6s (65.8%)

Memory
-54.0MiB live, 1 210.6MiB allocated; 1.7s collecting garbage
Samples
1.3s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-exp: 1.0s (91.0% of total)
ival-div!: 40.0ms (3.6% of total)
ival-neg: 34.0ms (3.1% of total)
ival-add!: 23.0ms (2.1% of total)
adjust: 1.0ms (0.1% of total)
Bogosity

preprocess105.0ms (4.3%)

Memory
-26.9MiB live, 63.2MiB allocated; 97ms 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)

sample0.0ms (0.0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
2
Outputs
#s(literal 2 binary64)
Samples
0.0ms0valid
Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series13.0ms (0.5%)

Memory
28.1MiB live, 28.1MiB 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
3.0ms
x
0
1.0ms
x
inf
1.0ms
x
-inf

rewrite217.0ms (8.7%)

Memory
-6.1MiB live, 310.6MiB allocated; 108ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0723
01219
15217
221717
3126917
0430817
Stop Event
iter-limit
node-limit
iter-limit
Counts
7 → 901
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 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 x)) (cosh.f64 x)))
(*.f64 (/.f64 (cosh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (cosh.f64 x)))
(*.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cosh.f64 x))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (cosh.f64 x))) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cosh.f64 x))) #s(literal 1/4 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (cosh.f64 x))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cosh.f64 x))))
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal -1 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(*.f64 (/.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))) (exp.f64 x))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64)) #s(literal 4 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(*.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (cosh.f64 x))))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (cosh.f64 x)))))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) (cosh.f64 x)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 x) x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 x) x) #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 x (neg.f64 x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 x (neg.f64 x)) #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 x x) #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (cosh.f64 x))))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (cosh.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)) (/.f64 (neg.f64 (cosh.f64 x)) (cosh.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)) #s(literal -2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (cosh.f64 x)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cosh.f64 x))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (cosh.f64 x)))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64))))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 x) x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 x) x) #s(literal 2 binary64))))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 x (neg.f64 x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 x (neg.f64 x)) #s(literal 2 binary64))))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 x x) #s(literal 2 binary64))))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (/.f64 (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64)))) (cosh.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (/.f64 (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 x) x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 x) x) #s(literal 2 binary64)))) (cosh.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (/.f64 (*.f64 (cosh.f64 (/.f64 (+.f64 x (neg.f64 x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 x (neg.f64 x)) #s(literal 2 binary64)))) (cosh.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (/.f64 (*.f64 (cosh.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 x x) #s(literal 2 binary64)))) (cosh.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (/.f64 (cosh.f64 x) (cosh.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 binary64))
(*.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 (pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (fma.f64 (/.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))))))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 x)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (cosh.f64 x) #s(literal 1/2 binary64))) (neg.f64 (cosh.f64 x)))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -1 binary64))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (cosh.f64 x))) (neg.f64 (*.f64 (cosh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (cosh.f64 x)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))) (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (cosh.f64 x))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))) (neg.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) (cosh.f64 x) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))) (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (cosh.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))) (neg.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (cosh.f64 x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))) (neg.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (neg.f64 (cosh.f64 x)))) (neg.f64 (*.f64 (cosh.f64 x) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (cosh.f64 x)) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (cosh.f64 x))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -1 binary64)))) (neg.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) (cosh.f64 x) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (neg.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))))
(/.f64 (neg.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))
(/.f64 #s(literal -4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (cosh.f64 x) #s(literal 1/2 binary64)) (cosh.f64 x))
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (*.f64 (cosh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (+.f64 (neg.f64 (cosh.f64 x)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (cosh.f64 x)))
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))) (pow.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -2 binary64) (cosh.f64 x) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (+.f64 (cosh.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (cosh.f64 x)))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(/.f64 (-.f64 (*.f64 (/.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)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))))
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#s(literal 2 binary64)
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(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64) (sinh.f64 (neg.f64 x)))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64) (sinh.f64 (neg.f64 x)))
(fma.f64 (/.f64 (neg.f64 (cosh.f64 x)) #s(literal 2 binary64)) #s(literal -2 binary64) (sinh.f64 (neg.f64 x)))
(fma.f64 (/.f64 (cosh.f64 x) #s(literal -2 binary64)) #s(literal -2 binary64) (sinh.f64 (neg.f64 x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (sinh.f64 (neg.f64 x)))
(fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (sinh.f64 (neg.f64 x)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 x))) (/.f64 #s(literal 0 binary64) (exp.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (sinh.f64 (neg.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 x)) (/.f64 #s(literal 0 binary64) (exp.f64 x)))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (cosh.f64 x))) #s(literal 1 binary64)) (sinh.f64 (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (cosh.f64 x)) #s(literal 1 binary64)) (sinh.f64 (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (/.f64 (cosh.f64 x) #s(literal -1 binary64)) (sinh.f64 (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x))) (/.f64 #s(literal 0 binary64) (exp.f64 x)))
(fma.f64 #s(literal -1 binary64) (sinh.f64 x) (cosh.f64 x))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 1/2 binary64) (cosh.f64 x))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal -1 binary64)) (sinh.f64 (neg.f64 x)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (cosh.f64 x))) #s(literal 2 binary64)) (sinh.f64 (neg.f64 x)))
(fma.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (cosh.f64 x)) #s(literal 2 binary64)) (sinh.f64 (neg.f64 x)))
(fma.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 x) #s(literal 1/2 binary64)) (cosh.f64 x))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (cosh.f64 x))) #s(literal -1 binary64)) (sinh.f64 (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64)) (sinh.f64 (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (sinh.f64 (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 x) x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 x) x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (sinh.f64 (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cosh.f64 (/.f64 (+.f64 x (neg.f64 x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 x (neg.f64 x)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (sinh.f64 (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cosh.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (sinh.f64 (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 x)) (cosh.f64 x))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (/.f64 #s(literal 0 binary64) (exp.f64 x)))
(fma.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64) (cosh.f64 x))
(fma.f64 (cosh.f64 x) #s(literal 1 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 (exp.f64 (neg.f64 x)) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (exp.f64 x)))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (sinh.f64 (neg.f64 x)))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 x) x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 x) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (sinh.f64 (neg.f64 x)))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cosh.f64 (/.f64 (+.f64 x (neg.f64 x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 x (neg.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (sinh.f64 (neg.f64 x)))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cosh.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 x x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (sinh.f64 (neg.f64 x)))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 1 binary64)) (sinh.f64 (neg.f64 x)))
(fma.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal -2 binary64)) (cosh.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (sinh.f64 (neg.f64 x)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 0 binary64) (exp.f64 x)))
(-.f64 (/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 4 binary64)))
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 x)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 x)))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))))
(-.f64 (sinh.f64 (neg.f64 x)) (neg.f64 (cosh.f64 x)))
(-.f64 (cosh.f64 x) (sinh.f64 x))
(sqrt.f64 (*.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(sqrt.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))))
(fabs.f64 (*.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)))
(fabs.f64 (neg.f64 (exp.f64 (neg.f64 x))))
(fabs.f64 (exp.f64 (neg.f64 x)))
(exp.f64 (+.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 x))))
(exp.f64 (+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1 binary64))))
(exp.f64 (+.f64 (+.f64 #s(literal 0 binary64) (neg.f64 x)) #s(literal 0 binary64)))
(exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)))
(exp.f64 (fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)))
(exp.f64 (/.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (+.f64 x x) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (+.f64 (neg.f64 x) (neg.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 x x))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (neg.f64 x)))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp.f64 (*.f64 x #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -1 binary64)))
(exp.f64 (/.f64 (+.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (neg.f64 x))
(+.f64 (/.f64 (*.f64 (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (cosh.f64 x))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 4 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 4 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)))) #s(literal 4 binary64)))
(+.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 x)))) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 x)))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))))
(+.f64 (cosh.f64 (+.f64 #s(literal 0 binary64) (neg.f64 x))) (sinh.f64 (+.f64 #s(literal 0 binary64) (neg.f64 x))))
(+.f64 (cosh.f64 (-.f64 #s(literal 0 binary64) x)) (sinh.f64 (-.f64 #s(literal 0 binary64) x)))
(+.f64 (cosh.f64 (*.f64 x #s(literal -1 binary64))) (sinh.f64 (*.f64 x #s(literal -1 binary64))))
(+.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 0 binary64) (exp.f64 x)))
(neg.f64 x)

eval124.0ms (5.0%)

Memory
-1.9MiB live, 200.6MiB allocated; 99ms collecting garbage
Compiler

Compiled 15 865 to 2 744 computations (82.7% saved)

prune15.0ms (0.6%)

Memory
-7.5MiB live, 38.3MiB allocated; 4ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New9153918
Fresh000
Picked101
Done000
Total9163919
Accuracy
100.0%
Counts
919 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
55.1%
#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)))))
55.7%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Compiler

Compiled 30 to 27 computations (10.0% saved)

sample0.0ms (0.0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
-1/2
2
Outputs
#s(literal 1 binary64)
#s(literal -1/2 binary64)
#s(literal 2 binary64)
Samples
0.0ms0valid
Compiler

Compiled 5 to 5 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series10.0ms (0.4%)

Memory
23.5MiB live, 23.5MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068225
Stop Event
iter-limit
Counts
11 → 15
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#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)))))
(+.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))
x
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(cosh.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 (* -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 x 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 (/ 2 (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.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 (/ 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 (/ 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
2.0ms
x
inf
2.0ms
x
-inf
1.0ms
x
0

rewrite139.0ms (5.6%)

Memory
-18.9MiB live, 214.2MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01651
02147
110143
236643
3208543
0423541
Stop Event
iter-limit
node-limit
iter-limit
Counts
11 → 312
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#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)))))
(+.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))
x
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(cosh.f64 x)
Outputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#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 (-.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 #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 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 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 2 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.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) #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)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 (-.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) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
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(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (sinh.f64 x) (exp.f64 x)) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 0 binary64) (sinh.f64 (neg.f64 x))))
(-.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 (+.f64 #s(literal 0 binary64) x))) (*.f64 #s(literal 0 binary64) (sinh.f64 (+.f64 #s(literal 0 binary64) x))))
(-.f64 (/.f64 (+.f64 (cosh.f64 x) (exp.f64 x)) #s(literal 2 binary64)) (/.f64 (sinh.f64 x) #s(literal 2 binary64)))
(-.f64 (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (/.f64 (-.f64 (sinh.f64 x) (exp.f64 x)) #s(literal 2 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))) (/.f64 (exp.f64 x) #s(literal -2 binary64)))
(-.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(-.f64 (cosh.f64 x) (*.f64 #s(literal 0 binary64) (sinh.f64 x)))
(+.f64 (/.f64 (+.f64 (cosh.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (/.f64 (sinh.f64 x) #s(literal 2 binary64)))
(+.f64 (/.f64 (+.f64 (cosh.f64 x) (exp.f64 x)) #s(literal 2 binary64)) (/.f64 (sinh.f64 x) #s(literal -2 binary64)))
(+.f64 (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (/.f64 (-.f64 (sinh.f64 x) (exp.f64 x)) #s(literal -2 binary64)))
(+.f64 (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))))
(+.f64 (cosh.f64 x) (*.f64 #s(literal 0 binary64) (sinh.f64 (neg.f64 x))))

eval31.0ms (1.2%)

Memory
15.9MiB live, 60.8MiB allocated; 6ms collecting garbage
Compiler

Compiled 4 713 to 908 computations (80.7% saved)

prune6.0ms (0.2%)

Memory
16.6MiB live, 16.6MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New3171318
Fresh000
Picked123
Done000
Total3183321
Accuracy
100.0%
Counts
321 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
55.1%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
55.7%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Compiler

Compiled 29 to 25 computations (13.8% saved)

sample0.0ms (0.0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
-1/2
1
Outputs
#s(literal -1/2 binary64)
#s(literal 1 binary64)
Samples
0.0ms0valid
Compiler

Compiled 4 to 4 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series5.0ms (0.2%)

Memory
8.6MiB live, 8.6MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046151
Stop Event
iter-limit
Counts
6 → 10
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)
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 (/ 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 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#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 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
1.0ms
x
inf
1.0ms
x
-inf
0.0ms
x
0

rewrite117.0ms (4.7%)

Memory
-4.8MiB live, 140.5MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01227
01525
18323
232123
3170723
0407623
Stop Event
iter-limit
node-limit
iter-limit
Counts
6 → 101
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)
Outputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 (+.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))))
(neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal -1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 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 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (*.f64 #s(literal -1/2 binary64) (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(-.f64 (*.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 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(+.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(*.f64 (neg.f64 (neg.f64 (neg.f64 (fabs.f64 x)))) (neg.f64 (neg.f64 (neg.f64 (fabs.f64 x)))))
(*.f64 (pow.f64 (*.f64 x x) #s(literal 0 binary64)) (*.f64 x x))
(*.f64 (pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (neg.f64 (fabs.f64 x)))
(*.f64 (-.f64 x #s(literal 0 binary64)) (-.f64 x #s(literal 0 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x))
(*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (*.f64 x x) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 0 binary64)))
(*.f64 (*.f64 x x) (pow.f64 (fabs.f64 x) #s(literal 0 binary64)))
(*.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 0 binary64)))
(*.f64 (*.f64 x x) (pow.f64 x #s(literal 0 binary64)))
(*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) #s(literal 0 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (pow.f64 (*.f64 x x) #s(literal 0 binary64)) (pow.f64 (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)))
(/.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (fabs.f64 x) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (*.f64 x x) (pow.f64 (*.f64 x x) #s(literal 0 binary64)))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))
(fabs.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))))
(fabs.f64 (*.f64 x (neg.f64 (fabs.f64 x))))
(fabs.f64 (*.f64 (neg.f64 x) (fabs.f64 x)))
(fabs.f64 (*.f64 x (fabs.f64 x)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)))
(fabs.f64 (*.f64 (fabs.f64 x) (neg.f64 x)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) x))
(fabs.f64 (*.f64 (fabs.f64 x) x))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.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)

eval14.0ms (0.5%)

Memory
-24.1MiB live, 22.1MiB allocated; 5ms collecting garbage
Compiler

Compiled 2 150 to 420 computations (80.5% saved)

prune3.0ms (0.1%)

Memory
6.2MiB live, 6.2MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1050105
Fresh000
Picked011
Done022
Total1053108
Accuracy
100.0%
Counts
108 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
55.1%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
55.7%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Compiler

Compiled 29 to 25 computations (13.8% saved)

regimes12.0ms (0.5%)

Memory
26.0MiB live, 26.0MiB allocated; 0ms collecting garbage
Counts
2 → 1
5 → 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 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 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Outputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
Calls

6 calls:

2.0ms
x
2.0ms
(+.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))))
2.0ms
x
1.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
55.7%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
55.7%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
55.7%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 83 to 51 computations (38.6% saved)

derivations23.0ms (0.9%)

Memory
-39.0MiB live, 12.7MiB allocated; 9ms collecting garbage
Stop Event
done
Compiler

Compiled 14 to 11 computations (21.4% saved)

preprocess13.0ms (0.5%)

Memory
35.6MiB live, 35.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 50 to 44 computations (12.0% saved)

end0.0ms (0.0%)

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

Profiling

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