Hyperbolic secant

Time bar (total: 2.8s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB 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)

sample623.0ms (22.3%)

Memory
-14.1MiB live, 1 217.1MiB allocated; 191ms collecting garbage
Samples
430.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 255.0ms
ival-exp: 137.0ms (53.8% of total)
ival-div!: 58.0ms (22.8% of total)
ival-neg: 37.0ms (14.5% of total)
ival-add!: 21.0ms (8.2% of total)
adjust: 1.0ms (0.4% of total)
Bogosity

preprocess33.0ms (1.2%)

Memory
-10.4MiB live, 36.0MiB allocated; 6ms 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)

series10.0ms (0.4%)

Memory
22.7MiB live, 22.7MiB 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

rewrite164.0ms (5.9%)

Memory
4.7MiB live, 294.2MiB allocated; 38ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0723
01219
13417
212217
377117
0458717
Stop Event
iter-limit
node-limit
iter-limit
Counts
7 → 880
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 (/.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 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))
(*.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 -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 #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)) #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)) #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 (fma.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (neg.f64 (cosh.f64 x)) #s(literal -1/2 binary64)) (neg.f64 (cosh.f64 x)))
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (*.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 (fma.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (exp.f64 x)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (cosh.f64 x)) #s(literal -1/2 binary64)) (cosh.f64 x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (neg.f64 (cosh.f64 x))) #s(literal 1/2 binary64)) (neg.f64 (cosh.f64 x)))
(/.f64 (-.f64 (*.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 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (*.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 (+.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 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(/.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (neg.f64 (cosh.f64 x))) (*.f64 (cosh.f64 x) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(/.f64 (+.f64 (neg.f64 (cosh.f64 x)) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))) (*.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 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -1 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
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(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)))
(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))))
(-.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))
(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 #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 (+.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)

eval106.0ms (3.8%)

Memory
21.6MiB live, 228.4MiB allocated; 55ms collecting garbage
Compiler

Compiled 15 300 to 2 590 computations (83.1% saved)

prune25.0ms (0.9%)

Memory
16.4MiB live, 58.3MiB allocated; 12ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New8916897
Fresh000
Picked101
Done000
Total8926898
Accuracy
100.0%
Counts
898 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.2%
(/.f64 (+.f64 (exp.f64 x) (exp.f64 x)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))
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 x x)) #s(literal -1 binary64))) (exp.f64 x))
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 124 to 102 computations (17.7% saved)

series29.0ms (1%)

Memory
17.4MiB live, 60.6MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0178655
Stop Event
iter-limit
Counts
21 → 45
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
#s(literal 1 binary64)
(cosh.f64 x)
x
#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)))))
(+.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))
#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)))
(exp.f64 x)
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))) (exp.f64 x))
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))
(-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))
(exp.f64 (+.f64 x x))
(+.f64 x x)
#s(literal -1 binary64)
Outputs
#s(approx (/ 1 (cosh x)) #s(literal 1 binary64))
#s(approx (/ 1 (cosh x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ 1 (cosh 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 (/ 1 (cosh 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 (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 x x)
#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))) #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 (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx (/ 1 (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 (+ x x)) -1)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (/ 2 (- (exp (+ x x)) -1)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -2/15 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))))
#s(approx (- (exp (+ x x)) -1) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))
#s(approx (- (exp (+ x x)) -1) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))))
#s(approx (- (exp (+ x x)) -1) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 binary64) x)))))))
#s(approx (exp (+ x x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))
#s(approx (exp (+ x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))))
#s(approx (exp (+ x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 binary64) x)))))))
#s(approx (+ x x) (*.f64 #s(literal 2 binary64) 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 (/ 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 (+ (exp x) (/ 1 (exp x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
#s(approx (exp x) (exp.f64 x))
#s(approx (/ 1 (exp x)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
#s(approx (* (/ 2 (- (exp (+ 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 (+ x x)) -1)) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x)))))
#s(approx (- (exp (+ x x)) -1) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))
#s(approx (exp (+ 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)))))
#s(approx (* (/ 2 (- (exp (+ 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 (+ 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 (+ x x)) -1) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x)))))
#s(approx (exp (+ x x)) (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))))
Calls

3 calls:

TimeVariablePoint
15.0ms
x
inf
5.0ms
x
-inf
2.0ms
x
0

rewrite160.0ms (5.7%)

Memory
8.8MiB live, 195.8MiB allocated; 54ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026106
04086
110682
237382
3306482
0405580
Stop Event
iter-limit
node-limit
iter-limit
Counts
21 → 1 441
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
#s(literal 1 binary64)
(cosh.f64 x)
x
#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)))))
(+.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))
#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)))
(exp.f64 x)
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))) (exp.f64 x))
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))
(-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))
(exp.f64 (+.f64 x x))
(+.f64 x x)
#s(literal -1 binary64)
Outputs
(*.f64 (exp.f64 (+.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))))
(*.f64 (*.f64 #s(literal -2 binary64) (exp.f64 x)) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))) (neg.f64 (exp.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)) #s(literal -1 binary64))
(*.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 x) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))) (*.f64 (exp.f64 x) #s(literal 2 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)) #s(literal 1 binary64)))
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(fabs.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (neg.f64 (exp.f64 (+.f64 x x)))))
(fabs.f64 (neg.f64 (exp.f64 (+.f64 x x))))
(fabs.f64 (exp.f64 (+.f64 x x)))
(exp.f64 (+.f64 (-.f64 (+.f64 x x) x) (/.f64 (+.f64 x x) #s(literal 2 binary64))))
(exp.f64 (+.f64 (-.f64 (+.f64 x x) x) x))
(exp.f64 (+.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)) (/.f64 (+.f64 x x) #s(literal 2 binary64))))
(exp.f64 (+.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)) x))
(exp.f64 (+.f64 x (/.f64 (+.f64 x x) #s(literal 2 binary64))))
(exp.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) x))))
(exp.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x (neg.f64 x))))
(exp.f64 (neg.f64 (+.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) x))))
(exp.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))))
(exp.f64 (-.f64 (-.f64 x (*.f64 #s(literal -1 binary64) x)) #s(literal 0 binary64)))
(exp.f64 (-.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))))
(exp.f64 (-.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) x))))
(exp.f64 (-.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) x)))
(exp.f64 (-.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)) (neg.f64 x)))
(exp.f64 (-.f64 x (fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))))
(exp.f64 (-.f64 x (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) x))))
(exp.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) x))))
(exp.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) x (neg.f64 x))))
(exp.f64 (-.f64 #s(literal 0 binary64) (+.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) x))))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))))
(exp.f64 (-.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x)) (-.f64 x (*.f64 #s(literal -1 binary64) x))))
(exp.f64 (-.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x)) (+.f64 x x)))
(exp.f64 (-.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) (-.f64 x (*.f64 #s(literal -1 binary64) x))))
(exp.f64 (-.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) (+.f64 x x)))
(exp.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (-.f64 x (*.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x)))
(exp.f64 (-.f64 (+.f64 x x) #s(literal 0 binary64)))
(exp.f64 (-.f64 x (*.f64 #s(literal -1 binary64) x)))
(exp.f64 (+.f64 x x))
(+.f64 (cosh.f64 (-.f64 x (*.f64 #s(literal -1 binary64) x))) (sinh.f64 (-.f64 x (*.f64 #s(literal -1 binary64) x))))
(+.f64 (+.f64 (sinh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (sinh.f64 x))) (*.f64 (cosh.f64 x) (cosh.f64 x)))
(+.f64 (fma.f64 (cosh.f64 x) (cosh.f64 x) (sinh.f64 (+.f64 x x))) (*.f64 (sinh.f64 x) (sinh.f64 x)))
(+.f64 (+.f64 (sinh.f64 (+.f64 x x)) (*.f64 (cosh.f64 x) (cosh.f64 x))) (*.f64 (sinh.f64 x) (sinh.f64 x)))
(+.f64 (+.f64 (cosh.f64 (+.f64 x x)) (/.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64))) (/.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64)))
(+.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (sinh.f64 (*.f64 #s(literal -2 binary64) x))) (*.f64 (sinh.f64 x) (sinh.f64 x)))
(+.f64 (*.f64 (neg.f64 (exp.f64 x)) (neg.f64 (cosh.f64 x))) (*.f64 (neg.f64 (exp.f64 x)) (sinh.f64 (neg.f64 x))))
(+.f64 (*.f64 (neg.f64 (cosh.f64 x)) (neg.f64 (exp.f64 x))) (*.f64 (sinh.f64 (neg.f64 x)) (neg.f64 (exp.f64 x))))
(+.f64 (fma.f64 (sinh.f64 x) (sinh.f64 x) (sinh.f64 (+.f64 x x))) (*.f64 (cosh.f64 x) (cosh.f64 x)))
(+.f64 (/.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (cosh.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (/.f64 (cosh.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 (sinh.f64 x) (exp.f64 x)) (*.f64 (exp.f64 x) (cosh.f64 x)))
(+.f64 (*.f64 (exp.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 x) (exp.f64 x)))
(+.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (sinh.f64 (*.f64 #s(literal -2 binary64) x))))
(+.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (fma.f64 (sinh.f64 x) (sinh.f64 x) (sinh.f64 (+.f64 x x))))
(+.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (fma.f64 (cosh.f64 x) (cosh.f64 x) (sinh.f64 (+.f64 x x))))
(+.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (sinh.f64 (*.f64 #s(literal -2 binary64) x))))
(+.f64 (/.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64)) (+.f64 (/.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64)) (cosh.f64 (+.f64 x x))))
(+.f64 (sinh.f64 (+.f64 x x)) (cosh.f64 (+.f64 x x)))
(+.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x)))
(*.f64 (+.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) x))
(-.f64 x (neg.f64 x))
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))
(+.f64 x x)
#s(literal -1 binary64)

eval218.0ms (7.8%)

Memory
17.4MiB live, 270.2MiB allocated; 202ms collecting garbage
Compiler

Compiled 22 209 to 3 840 computations (82.7% saved)

prune28.0ms (1%)

Memory
-0.3MiB live, 47.1MiB allocated; 10ms collecting garbage
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1 25821 260
Fresh101
Picked145
Done000
Total1 26061 266
Accuracy
100.0%
Counts
1 266 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.2%
(/.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))
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 x x)) #s(literal -1 binary64))) (exp.f64 x))
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 60 to 50 computations (16.7% saved)

series9.0ms (0.3%)

Memory
17.5MiB live, 17.5MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0120423
Stop Event
iter-limit
Counts
14 → 31
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)
(/.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))
(*.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
#s(literal 2 binary64)
(-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))
(exp.f64 (+.f64 x x))
(+.f64 x x)
#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 (* (exp x) 2) #s(literal 2 binary64))
#s(approx (* (exp x) 2) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))
#s(approx (* (exp x) 2) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) x))))
#s(approx (* (exp x) 2) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) x)))))))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))
#s(approx (- (exp (+ x x)) -1) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))))
#s(approx (- (exp (+ x x)) -1) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 binary64) x)))))))
#s(approx (exp (+ x x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))
#s(approx (exp (+ x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))))
#s(approx (exp (+ x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 binary64) x)))))))
#s(approx (+ x x) (*.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 (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 (/ (* (exp x) 2) (- (exp (+ x x)) -1)) (*.f64 #s(literal 2 binary64) (/.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))))
#s(approx (* (exp x) 2) (*.f64 #s(literal 2 binary64) (exp.f64 x)))
#s(approx (exp x) (exp.f64 x))
#s(approx (- (exp (+ x x)) -1) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))
#s(approx (exp (+ 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)))))
#s(approx (/ (* (exp x) 2) (- (exp (+ x x)) -1)) (*.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 (- (exp (+ x x)) -1) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x)))))
#s(approx (exp (+ x x)) (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))))
Calls

3 calls:

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

rewrite165.0ms (5.9%)

Memory
10.3MiB live, 188.4MiB allocated; 63ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01959
02857
18155
231148
3186448
0476048
Stop Event
iter-limit
node-limit
iter-limit
Counts
14 → 755
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)
(/.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))
(*.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
#s(literal 2 binary64)
(-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))
(exp.f64 (+.f64 x x))
(+.f64 x x)
#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 (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))
(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 #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 (-.f64 x #s(literal 0 binary64)) (-.f64 x #s(literal 0 binary64)))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.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))
(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))
x
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))) (*.f64 #s(literal -2 binary64) (exp.f64 x)))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal -2 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))) (exp.f64 x))
(*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))) (*.f64 (exp.f64 x) #s(literal 2 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))))
(*.f64 #s(literal -2 binary64) (/.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)))
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(*.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))))
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(fabs.f64 (*.f64 (exp.f64 x) #s(literal -1 binary64)))
(fabs.f64 (*.f64 #s(literal -1 binary64) (exp.f64 x)))
(fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x))))
(fabs.f64 (*.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)))
(fabs.f64 (neg.f64 (exp.f64 x)))
(fabs.f64 (exp.f64 x))
(exp.f64 (+.f64 (+.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)))
(exp.f64 (+.f64 (+.f64 x #s(literal 0 binary64)) #s(literal 0 binary64)))
(exp.f64 (+.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x)))
(exp.f64 (+.f64 #s(literal 0 binary64) (+.f64 x #s(literal 0 binary64))))
(exp.f64 (+.f64 #s(literal 0 binary64) (/.f64 (+.f64 x x) #s(literal 2 binary64))))
(exp.f64 (neg.f64 (*.f64 x #s(literal -1 binary64))))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1 binary64))))
(exp.f64 (-.f64 #s(literal 0 binary64) (neg.f64 x)))
(exp.f64 (-.f64 (+.f64 x x) (+.f64 #s(literal 0 binary64) x)))
(exp.f64 (-.f64 (+.f64 x x) (+.f64 x #s(literal 0 binary64))))
(exp.f64 (-.f64 (+.f64 x x) (/.f64 (+.f64 x x) #s(literal 2 binary64))))
(exp.f64 (-.f64 (+.f64 x x) x))
(exp.f64 (-.f64 (+.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)))
(exp.f64 (-.f64 (+.f64 x #s(literal 0 binary64)) #s(literal 0 binary64)))
(exp.f64 (-.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)) #s(literal 0 binary64)))
(exp.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64)))
(exp.f64 (-.f64 x #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) x))
(exp.f64 (+.f64 x #s(literal 0 binary64)))
(exp.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)))
(exp.f64 x)
(+.f64 (cosh.f64 (+.f64 x #s(literal 0 binary64))) (sinh.f64 (+.f64 x #s(literal 0 binary64))))
(+.f64 (cosh.f64 (+.f64 #s(literal 0 binary64) x)) (sinh.f64 (+.f64 #s(literal 0 binary64) x)))
(+.f64 (*.f64 #s(literal 1 binary64) (sinh.f64 x)) (cosh.f64 x))
(+.f64 (*.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))))
(+.f64 (cosh.f64 x) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
(+.f64 (cosh.f64 x) (*.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(+.f64 (exp.f64 x) (*.f64 (exp.f64 x) #s(literal 0 binary64)))
(+.f64 (exp.f64 x) (*.f64 #s(literal 0 binary64) (exp.f64 x)))
#s(literal 2 binary64)
(/.f64 (+.f64 (fma.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) (fma.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))
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(/.f64 (+.f64 (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
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(/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))) #s(literal 2 binary64))
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(/.f64 (+.f64 #s(literal 4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))) #s(literal 2 binary64))
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(/.f64 (+.f64 #s(literal 4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))))) #s(literal 4 binary64))
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(/.f64 (-.f64 (fma.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)))) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)))) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 x) #s(literal 2 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))))
(/.f64 (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (neg.f64 (exp.f64 (neg.f64 x))))
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x))))
(fma.f64 (fabs.f64 (fabs.f64 (sinh.f64 x))) (fabs.f64 (fabs.f64 (sinh.f64 x))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (sinh.f64 (+.f64 x x)) #s(literal -1 binary64))))
(fma.f64 (fabs.f64 (fabs.f64 (cosh.f64 x))) (fabs.f64 (fabs.f64 (cosh.f64 x))) (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (sinh.f64 (+.f64 x x)) #s(literal -1 binary64))))
(fma.f64 (neg.f64 (fabs.f64 (sinh.f64 x))) (neg.f64 (fabs.f64 (sinh.f64 x))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (sinh.f64 (+.f64 x x)) #s(literal -1 binary64))))
(fma.f64 (neg.f64 (fabs.f64 (cosh.f64 x))) (neg.f64 (fabs.f64 (cosh.f64 x))) (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (sinh.f64 (+.f64 x x)) #s(literal -1 binary64))))
(fma.f64 (exp.f64 (*.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (exp.f64 (*.f64 #s(literal 1 binary64) x)) (exp.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(fma.f64 (*.f64 (exp.f64 x) #s(literal -1 binary64)) (*.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1 binary64) (exp.f64 x)) (*.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (sinh.f64 x)) (fabs.f64 (sinh.f64 x)) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (sinh.f64 (+.f64 x x)) #s(literal -1 binary64))))
(fma.f64 (fabs.f64 (cosh.f64 x)) (fabs.f64 (cosh.f64 x)) (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (sinh.f64 (+.f64 x x)) #s(literal -1 binary64))))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x))) (*.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x))) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (cosh.f64 x) (+.f64 (cosh.f64 (+.f64 x x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (cosh.f64 x) (-.f64 (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)))
(fma.f64 (neg.f64 (cosh.f64 x)) (neg.f64 (cosh.f64 x)) (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (sinh.f64 (+.f64 x x)) #s(literal -1 binary64))))
(fma.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 1/2 binary64) (+.f64 (cosh.f64 (+.f64 x x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 1/2 binary64) (-.f64 (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 1/2 binary64) (-.f64 (sinh.f64 (+.f64 x x)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64)) #s(literal 2 binary64) (+.f64 (cosh.f64 (+.f64 x x)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64)) #s(literal 2 binary64) (-.f64 (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)))
(fma.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (sinh.f64 (+.f64 x x)) #s(literal -1 binary64))))
(fma.f64 (sinh.f64 x) (sinh.f64 x) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (sinh.f64 (+.f64 x x)) #s(literal -1 binary64))))
(fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (sinh.f64 (+.f64 x x)) #s(literal -1 binary64))))
(fma.f64 (cosh.f64 x) (exp.f64 x) (fma.f64 (sinh.f64 x) (exp.f64 x) #s(literal 1 binary64)))
(fma.f64 (cosh.f64 x) (exp.f64 x) (-.f64 (*.f64 (sinh.f64 x) (exp.f64 x)) #s(literal -1 binary64)))
(fma.f64 (exp.f64 x) (cosh.f64 x) (fma.f64 (sinh.f64 x) (exp.f64 x) #s(literal 1 binary64)))
(fma.f64 (exp.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 x) (exp.f64 x)) #s(literal -1 binary64)))
(fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (*.f64 #s(literal 1 binary64) x)) (cosh.f64 (*.f64 #s(literal 1 binary64) x))) (+.f64 (cosh.f64 (+.f64 x x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (*.f64 #s(literal 1 binary64) x)) (cosh.f64 (*.f64 #s(literal 1 binary64) x))) (-.f64 (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)))
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(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 #s(literal 0 binary64) (+.f64 x x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 x x)) #s(literal 2 binary64)))) (sinh.f64 (+.f64 x x)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64))) (+.f64 (cosh.f64 (+.f64 x x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64))) (-.f64 (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64)) (+.f64 (cosh.f64 (+.f64 x x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64)) (-.f64 (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 (+.f64 x x))) (sinh.f64 (*.f64 #s(literal -2 binary64) x)))
(-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (-.f64 (*.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 x)) (-.f64 (sinh.f64 (+.f64 x x)) #s(literal -1 binary64))))
(-.f64 (sinh.f64 (+.f64 x x)) (-.f64 #s(literal -1 binary64) (cosh.f64 (+.f64 x x))))
(-.f64 (cosh.f64 (+.f64 x x)) (-.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(-.f64 (cosh.f64 (+.f64 x x)) (+.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)))
(-.f64 (cosh.f64 (+.f64 x x)) (neg.f64 (-.f64 (sinh.f64 (+.f64 x x)) #s(literal -1 binary64))))
(-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (+.f64 x x))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 x) (exp.f64 x))) (*.f64 (sinh.f64 x) (exp.f64 x)))
(+.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 (+.f64 x x))) (sinh.f64 (+.f64 x x)))
(+.f64 (-.f64 (sinh.f64 (+.f64 x x)) #s(literal -1 binary64)) (cosh.f64 (+.f64 x x)))
(+.f64 (*.f64 (cosh.f64 x) (exp.f64 x)) (fma.f64 (sinh.f64 x) (exp.f64 x) #s(literal 1 binary64)))
(+.f64 (*.f64 (cosh.f64 x) (exp.f64 x)) (-.f64 (*.f64 (sinh.f64 x) (exp.f64 x)) #s(literal -1 binary64)))
(+.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (sinh.f64 (+.f64 x x)) #s(literal -1 binary64))))
(+.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (sinh.f64 (+.f64 x x)) #s(literal -1 binary64))))
(+.f64 (sinh.f64 (+.f64 x x)) (+.f64 (cosh.f64 (+.f64 x x)) #s(literal 1 binary64)))
(+.f64 (sinh.f64 (+.f64 x x)) (-.f64 (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (+.f64 x x)) (-.f64 (sinh.f64 (+.f64 x x)) #s(literal -1 binary64)))
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(+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (exp.f64 (+.f64 x x))))
(+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))
(*.f64 (exp.f64 (*.f64 x #s(literal 1 binary64))) (exp.f64 (*.f64 x #s(literal 1 binary64))))
(*.f64 (exp.f64 (*.f64 #s(literal 1 binary64) x)) (exp.f64 (*.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 (exp.f64 x) #s(literal -1 binary64)) (*.f64 (exp.f64 x) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (exp.f64 x)) (*.f64 #s(literal -1 binary64) (exp.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x))) (*.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x))))
(*.f64 (*.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x)))
(*.f64 (exp.f64 x) (exp.f64 x))
(pow.f64 (exp.f64 (*.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))
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(exp.f64 (+.f64 x (+.f64 #s(literal 0 binary64) x)))
(exp.f64 (+.f64 x (+.f64 x #s(literal 0 binary64))))
(exp.f64 (+.f64 x (/.f64 (+.f64 x x) #s(literal 2 binary64))))
(exp.f64 (-.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 x #s(literal -1 binary64))))
(exp.f64 (-.f64 (+.f64 #s(literal 0 binary64) x) (neg.f64 x)))
(exp.f64 (-.f64 (+.f64 x #s(literal 0 binary64)) (*.f64 x #s(literal -1 binary64))))
(exp.f64 (-.f64 (+.f64 x #s(literal 0 binary64)) (neg.f64 x)))
(exp.f64 (-.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)) (*.f64 x #s(literal -1 binary64))))
(exp.f64 (-.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)) (neg.f64 x)))
(exp.f64 (-.f64 x (*.f64 x #s(literal -1 binary64))))
(exp.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) (+.f64 x x)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) (+.f64 x x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (+.f64 #s(literal 0 binary64) x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (+.f64 x #s(literal 0 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x)))
(exp.f64 (+.f64 x x))
(+.f64 (+.f64 (sinh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (sinh.f64 x))) (*.f64 (cosh.f64 x) (cosh.f64 x)))
(+.f64 (fma.f64 (cosh.f64 x) (cosh.f64 x) (sinh.f64 (+.f64 x x))) (*.f64 (sinh.f64 x) (sinh.f64 x)))
(+.f64 (+.f64 (sinh.f64 (+.f64 x x)) (*.f64 (cosh.f64 x) (cosh.f64 x))) (*.f64 (sinh.f64 x) (sinh.f64 x)))
(+.f64 (+.f64 (cosh.f64 (+.f64 x x)) (/.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64))) (/.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64)))
(+.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (sinh.f64 (*.f64 #s(literal -2 binary64) x))) (*.f64 (sinh.f64 x) (sinh.f64 x)))
(+.f64 (fma.f64 (sinh.f64 x) (sinh.f64 x) (sinh.f64 (+.f64 x x))) (*.f64 (cosh.f64 x) (cosh.f64 x)))
(+.f64 (/.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (cosh.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (/.f64 (cosh.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 (sinh.f64 x) (exp.f64 x)) (*.f64 (cosh.f64 x) (exp.f64 x)))
(+.f64 (*.f64 (cosh.f64 x) (exp.f64 x)) (*.f64 (sinh.f64 x) (exp.f64 x)))
(+.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (sinh.f64 (*.f64 #s(literal -2 binary64) x))))
(+.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (fma.f64 (sinh.f64 x) (sinh.f64 x) (sinh.f64 (+.f64 x x))))
(+.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (fma.f64 (cosh.f64 x) (cosh.f64 x) (sinh.f64 (+.f64 x x))))
(+.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (sinh.f64 (*.f64 #s(literal -2 binary64) x))))
(+.f64 (/.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64)) (+.f64 (/.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64)) (cosh.f64 (+.f64 x x))))
(+.f64 (sinh.f64 (+.f64 x x)) (cosh.f64 (+.f64 x x)))
(+.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x)))
(*.f64 (+.f64 x x) #s(literal 1 binary64))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))
(-.f64 x (neg.f64 x))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x))
(+.f64 x x)
#s(literal -1 binary64)

eval1.2s (41.3%)

Memory
-229.5MiB live, 179.9MiB allocated; 1.7s collecting garbage
Compiler

Compiled 14 309 to 2 474 computations (82.7% saved)

prune15.0ms (0.5%)

Memory
-3.3MiB live, 38.8MiB allocated; 6ms collecting garbage
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New7720772
Fresh000
Picked022
Done044
Total7726778
Accuracy
100.0%
Counts
778 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.2%
(/.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))
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 x x)) #s(literal -1 binary64))) (exp.f64 x))
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 60 to 50 computations (16.7% saved)

regimes12.0ms (0.4%)

Memory
22.0MiB live, 22.0MiB allocated; 0ms collecting garbage
Accuracy

Total -0.4b remaining (-1.3%)

Threshold costs -0.4b (-1.3%)

Counts
2 → 1
9 → 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))))
(/.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 (+.f64 x x)) #s(literal -1 binary64))) (exp.f64 x))
(/.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 x)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
Calls

6 calls:

3.0ms
x
2.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
1.0ms
x
1.0ms
(/.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
Compiler

Compiled 126 to 64 computations (49.2% saved)

derivations28.0ms (1%)

Memory
-33.8MiB live, 9.3MiB allocated; 5ms collecting garbage
Stop Event
done
Compiler

Compiled 14 to 11 computations (21.4% saved)

preprocess15.0ms (0.5%)

Memory
43.5MiB live, 43.5MiB allocated; 0ms collecting garbage
Remove

(abs x)

Compiler

Compiled 50 to 44 computations (12% saved)

end0.0ms (0%)

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

Profiling

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