2cos (problem 3.3.5)

Time bar (total: 9.4s)

start0.0ms (0.0%)

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

analyze39.0ms (0.4%)

Memory
-18.4MiB live, 26.5MiB allocated; 11ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%50.6%49.4%0.0%0.0%0.0%0
0.0%0.0%50.6%49.4%0.0%0.0%0.0%1
0.0%0.0%50.6%49.4%0.0%0.0%0.0%2
0.0%0.0%25.3%49.4%0.0%25.3%0.0%3
0.0%0.0%25.3%49.4%0.0%25.3%0.0%4
0.0%0.0%19.0%49.4%0.0%31.6%0.0%5
0.0%0.0%15.8%49.4%0.0%34.8%0.0%6
0.0%0.0%11.1%49.4%0.0%39.5%0.0%7
0.0%0.0%8.7%49.4%0.0%41.9%0.0%8
0.0%0.0%5.9%49.4%0.0%44.6%0.0%9
0.0%0.0%4.5%49.4%0.0%46.0%0.0%10
0.0%0.0%3.1%49.4%0.0%47.5%0.0%11
0.0%0.0%2.7%49.4%0.0%47.9%0.0%12
Compiler

Compiled 27 to 19 computations (29.6% saved)

sample7.0s (74.1%)

Memory
138.3MiB live, 9 829.4MiB allocated; 3.6s collecting garbage
Samples
3.1s5 811×2valid
2.1s26 203×0invalid
413.0ms2 394×1valid
18.0ms51×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.9s
ival-cos: 2.6s (65.3% of total)
adjust: 425.0ms (10.8% of total)
ival-fabs: 263.0ms (6.7% of total)
ival-add!: 176.0ms (4.5% of total)
ival-mult!: 151.0ms (3.9% of total)
ival-<: 147.0ms (3.8% of total)
ival-sub!: 125.0ms (3.2% of total)
ival-and: 60.0ms (1.5% of total)
ival-assert: 12.0ms (0.3% of total)
Bogosity

preprocess33.0ms (0.4%)

Memory
-25.6MiB live, 63.2MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02146
114342
2185142
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.2%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample0.0ms (0.0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
Outputs

series14.0ms (0.1%)

Memory
42.5MiB live, 42.5MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0141506
Stop Event
iter-limit
Counts
6 → 33
Calls
Call 1
Inputs
x
eps
(+.f64 x eps)
(cos.f64 (+.f64 x eps))
(cos.f64 x)
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Outputs
#s(approx x x)
#s(approx (+ x eps) eps)
#s(approx (+ x eps) (+.f64 eps x))
#s(approx (cos (+ x eps)) (cos.f64 eps))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 eps) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 eps))) (sin.f64 eps)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 eps))))) (sin.f64 eps)))))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos 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 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))) (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 eps)))))) (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (+ x eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (cos (+ x eps)) (cos.f64 (+.f64 eps x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (+ x eps) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (cos (+ x eps)) (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 x)))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 x) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x))))
#s(approx (+ x eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (+ x eps) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (cos (+ x eps)) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x)))
Calls

6 calls:

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

rewrite166.0ms (1.8%)

Memory
-37.5MiB live, 341.2MiB allocated; 47ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
01018
17918
252818
0411918
Stop Event
iter-limit
node-limit
iter-limit
Counts
6 → 230
Calls
Call 1
Inputs
x
eps
(+.f64 x eps)
(cos.f64 (+.f64 x eps))
(cos.f64 x)
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Outputs
x
eps
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 eps)) x)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) eps)) eps)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x eps)) eps)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 eps) x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x)
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 eps)))) (-.f64 x (neg.f64 (neg.f64 eps))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 eps eps)) (-.f64 x eps))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 eps)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 eps))) (*.f64 x (neg.f64 (neg.f64 eps))))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 eps eps (+.f64 (*.f64 x x) (*.f64 eps (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 x x)) (+.f64 eps (neg.f64 x)))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 x x)) (-.f64 eps x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 eps) (neg.f64 eps))) (+.f64 x (neg.f64 eps)))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (*.f64 x x) (*.f64 eps x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (neg.f64 eps) (neg.f64 eps) (*.f64 x (neg.f64 eps)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 eps eps) (*.f64 x eps))))
(neg.f64 (neg.f64 (+.f64 eps x)))
(-.f64 eps (neg.f64 x))
(-.f64 x (neg.f64 eps))
(+.f64 eps x)
(+.f64 x (neg.f64 (neg.f64 eps)))
(+.f64 x eps)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64)) (*.f64 (sin.f64 (+.f64 eps x)) #s(literal 0 binary64)))) (*.f64 (sin.f64 (+.f64 eps x)) #s(literal 0 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))) (*.f64 (cos.f64 eps) (cos.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 (cos.f64 eps) (cos.f64 x)))) (*.f64 (cos.f64 eps) (cos.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 eps) (cos.f64 x)))) (*.f64 (cos.f64 eps) (cos.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))) (*.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 (+.f64 eps x)) #s(literal 0 binary64)) (*.f64 (sin.f64 (+.f64 eps x)) #s(literal 0 binary64))) (*.f64 (*.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64)) (*.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64)))) (-.f64 (*.f64 (sin.f64 (+.f64 eps x)) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))) (cos.f64 (+.f64 (neg.f64 x) eps)))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))) (*.f64 (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x))))) (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))) (*.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))) (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (+.f64 eps x)) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (+.f64 eps x)) #s(literal 0 binary64)) (*.f64 (sin.f64 (+.f64 eps x)) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64)) (*.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (+.f64 eps x)) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x)))) (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))))))
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 x) eps)) (cos.f64 (+.f64 eps x))) (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 x) eps)) (cos.f64 (-.f64 (fabs.f64 x) eps))) (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 x eps))) (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 x) eps)) (cos.f64 (+.f64 eps x))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 x) eps)) (cos.f64 (-.f64 (fabs.f64 x) eps))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 x eps))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))) (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))) (cos.f64 (-.f64 x eps)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))))))
(neg.f64 (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))
(sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (neg.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) eps))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)))
(fma.f64 (sin.f64 (neg.f64 (+.f64 eps x))) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (fabs.f64 (+.f64 eps x))) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (+.f64 eps x)) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64)))
(fma.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 x) eps)) (cos.f64 (+.f64 eps x))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 x) eps)) (cos.f64 (+.f64 eps x))) #s(literal 1/2 binary64) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 x) eps)) (cos.f64 (+.f64 eps x))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 x) eps)) (cos.f64 (+.f64 eps x))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x))))
(fma.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 x) eps)) (cos.f64 (+.f64 eps x))) #s(literal 1/2 binary64) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(fma.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 x) eps)) (cos.f64 (-.f64 (fabs.f64 x) eps))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)))
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(/.f64 (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64))) (fma.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)) (-.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (neg.f64 (cos.f64 x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (neg.f64 (cos.f64 x))) (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (neg.f64 (cos.f64 x))) (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (neg.f64 (cos.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 (cos.f64 x))) #s(literal 3 binary64))) (fma.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)) (fma.f64 (neg.f64 (neg.f64 (cos.f64 x))) (neg.f64 (neg.f64 (cos.f64 x))) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (neg.f64 (cos.f64 x)))))))
(/.f64 (-.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (-.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
(/.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)) (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))))
(/.f64 (-.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 (cos.f64 x) (cos.f64 x))) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)) (fma.f64 (cos.f64 x) (cos.f64 x) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))))
(neg.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (neg.f64 (cos.f64 x))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (neg.f64 (cos.f64 x))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(+.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x)))
(+.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x)))

eval32.0ms (0.3%)

Memory
36.3MiB live, 83.8MiB allocated; 10ms collecting garbage
Compiler

Compiled 5 638 to 1 318 computations (76.6% saved)

prune18.0ms (0.2%)

Memory
-4.1MiB live, 41.7MiB allocated; 5ms collecting garbage
Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New23919258
Fresh000
Picked101
Done-110
Total23920259
Accuracy
99.8%
Counts
259 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.5%
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))) (*.f64 (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (neg.f64 (cos.f64 x))) (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (neg.f64 (cos.f64 x))))) (+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (neg.f64 (cos.f64 x)))))
53.5%
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
53.5%
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
53.2%
(-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) (cos.f64 x))
53.2%
(-.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) eps)) (cos.f64 x))
53.1%
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
53.2%
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
53.2%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
50.8%
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
50.8%
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
50.8%
(-.f64 (cos.f64 #s(approx (+ x eps) eps)) (cos.f64 x))
80.2%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
53.2%
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
53.3%
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
6.2%
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (+.f64 eps x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (neg.f64 x) (PI.f64)) (+.f64 eps x)) #s(literal 2 binary64)))))
50.7%
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
98.8%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x))))
98.6%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x))))
98.3%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
79.3%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x))))
Compiler

Compiled 661 to 436 computations (34.0% saved)

sample0.0ms (0.0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
-1/2
1/24
-1/6
1
2
(PI)
1/2
(* (PI) 1/2)
Outputs
#s(literal -1/2 binary64)
#s(literal 6004799503160661/144115188075855872 binary64)
#s(literal -6004799503160661/36028797018963968 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 884279719003555/281474976710656 binary64)
#s(literal 1/2 binary64)
#s(literal 884279719003555/562949953421312 binary64)
Samples
0.0ms0valid
Compiler

Compiled 12 to 10 computations (16.7% saved)

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

series83.0ms (0.9%)

Memory
13.4MiB live, 205.4MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08546196
Stop Event
iter-limit
Counts
44 → 204
Calls
Call 1
Inputs
eps
#s(literal -1/2 binary64)
x
(cos.f64 x)
#s(literal 1/24 binary64)
(*.f64 eps (cos.f64 x))
(*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)))
#s(literal -1/6 binary64)
(sin.f64 x)
(*.f64 #s(literal -1/6 binary64) (sin.f64 x))
(-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x))))))
(-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x))))
(cos.f64 eps)
#s(literal 1 binary64)
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (+ x eps) eps)
(cos.f64 #s(approx (+ x eps) eps))
(-.f64 (cos.f64 #s(approx (+ x eps) eps)) (cos.f64 x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
#s(literal 2 binary64)
(PI.f64)
#s(literal 1/2 binary64)
(+.f64 eps x)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))
(neg.f64 x)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sin.f64 (/.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(cos.f64 (/.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (sin.f64 (/.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
Outputs
#s(approx x x)
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos 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 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (* eps (cos x)) eps)
#s(approx (* eps (cos x)) (+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* eps (cos x)) (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 #s(literal 1/24 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* eps (cos x)) (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) eps)))))))
#s(approx (* 1/24 (* eps (cos x))) (*.f64 #s(literal 1/24 binary64) eps))
#s(approx (* 1/24 (* eps (cos x))) (fma.f64 #s(literal -1/48 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) eps)))
#s(approx (* 1/24 (* eps (cos x))) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) eps (*.f64 #s(literal 1/576 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* 1/24 (* eps (cos x))) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/17280 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/576 binary64) eps)))))))
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin x) (*.f64 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 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (* -1/6 (sin x)) (*.f64 #s(literal -1/6 binary64) x))
#s(approx (* -1/6 (sin x)) (*.f64 x (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))
#s(approx (* -1/6 (sin x)) (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))
#s(approx (* -1/6 (sin x)) (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/30240 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/720 binary64))))) #s(literal 1/6 binary64))))
#s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x)))
#s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 eps x))))))
#s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps)))))))
#s(approx (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))) (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps x))))
#s(approx (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/48 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 #s(literal 1/6 binary64) eps)))))
#s(approx (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/6 binary64) eps (*.f64 x (fma.f64 #s(literal -1/36 binary64) (*.f64 eps x) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (-.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps x))) #s(literal 1/2 binary64)))
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (-.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/6 binary64) eps (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) #s(literal 1/2 binary64)))
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (-.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/6 binary64) eps (*.f64 x (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/36 binary64) (*.f64 eps x) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))))) #s(literal 1/2 binary64)))
#s(approx (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (fma.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))
#s(approx (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (fma.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/36 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (fma.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (fma.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal 1 binary64)))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (fma.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 eps (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) #s(literal 1 binary64)))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (fma.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (fma.f64 x (fma.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (fma.f64 x (fma.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 x (fma.f64 eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))) (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 eps)))))) (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (+ x eps) (+.f64 eps x))
#s(approx (cos (+ x eps)) (cos.f64 eps))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 eps) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 eps))) (sin.f64 eps)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 eps))))) (sin.f64 eps)))))
#s(approx (* -1/2 (* eps (cos x))) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (* -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) eps)))))
#s(approx (* -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) eps (*.f64 #s(literal 1/1440 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (*.f64 eps x) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1 binary64) eps (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 eps x) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))
#s(approx (+ (* (PI) 1/2) (+ eps x)) (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (+ (* (PI) 1/2) (+ eps x)) (+.f64 eps (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx (+ (neg x) (* (PI) 1/2)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (+ (neg x) (* (PI) 1/2)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
#s(approx (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2) (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))
#s(approx (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))))
#s(approx (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) (+.f64 eps (PI.f64)))
#s(approx (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))
#s(approx (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))
#s(approx (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2))) (fma.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2))) (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* 2 (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* 2 (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)))) (fma.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
#s(approx (* 2 (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)))) (fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))))))))
#s(approx (* 2 (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)))) (fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))) (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))))))))))
#s(approx (cos x) (cos.f64 x))
#s(approx (* eps (cos x)) (*.f64 eps (cos.f64 x)))
#s(approx (* 1/24 (* eps (cos x))) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))))
#s(approx (sin x) (sin.f64 x))
#s(approx (* -1/6 (sin x)) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))
#s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x))))
#s(approx (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x))))))
#s(approx (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (+ x eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (cos (+ x eps)) (cos.f64 (+.f64 eps x)))
#s(approx (* -1/2 (* eps (cos x))) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
#s(approx (+ (* (PI) 1/2) (+ eps x)) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (/.f64 eps x)))))
#s(approx (+ (neg x) (* (PI) 1/2)) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x)) #s(literal 1 binary64))))
#s(approx (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
#s(approx (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))))
#s(approx (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
#s(approx (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
#s(approx (* 2 (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 x)))
#s(approx (+ x eps) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (cos (+ x eps)) (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))))
#s(approx (+ (* (PI) 1/2) (+ eps x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))) x)) #s(literal 1 binary64)))))
#s(approx (+ (neg x) (* (PI) 1/2)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) x))))))
#s(approx (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64)))))
#s(approx (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))
#s(approx (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
#s(approx (* 2 (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))))
#s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
#s(approx (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))
#s(approx (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))) (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x)))))
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))))
#s(approx (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))))
#s(approx (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x)))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (*.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (*.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (*.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x))))
#s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (- (cos eps) 1) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
#s(approx (- (cos eps) 1) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/40320 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 x) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x)))))
#s(approx (+ (* (PI) 1/2) (+ eps x)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (+.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 x)))))
#s(approx (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (+.f64 (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (sin.f64 x)) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))))
#s(approx (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (+.f64 (sin.f64 x) (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (sin.f64 x) (*.f64 #s(literal -1/48 binary64) (*.f64 eps (cos.f64 x)))))))))
#s(approx (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) (PI.f64))
#s(approx (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2) (fma.f64 #s(literal 1/2 binary64) eps (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 eps (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))
#s(approx (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))
#s(approx (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 x)))
#s(approx (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2))) (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 x))))
#s(approx (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2))) (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 eps (fma.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 x))))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 x))))
#s(approx (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2))) (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 eps (fma.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 x)) (*.f64 eps (fma.f64 #s(literal -1/16 binary64) (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 #s(literal -1/48 binary64) (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 #s(literal 1/48 binary64) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 x))))
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#s(approx (* 2 (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)))) (fma.f64 #s(literal 2 binary64) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 x)))))
#s(approx (* 2 (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)))) (fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 x)) (*.f64 eps (fma.f64 #s(literal 2 binary64) (*.f64 eps (fma.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 x))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))))
#s(approx (* 2 (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)))) (fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 x)) (*.f64 eps (fma.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (*.f64 eps (fma.f64 #s(literal 2 binary64) (*.f64 eps (fma.f64 #s(literal -1/16 binary64) (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 #s(literal -1/48 binary64) (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 #s(literal 1/48 binary64) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 x)))))))))))
#s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps)))))
#s(approx (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))
#s(approx (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps)))))
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) eps)))))
#s(approx (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (cos.f64 x))))
#s(approx (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps)))))
#s(approx (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps))))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) eps)))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) (cos.f64 x)))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) eps)))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (cos.f64 x))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps)))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps))))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps)))))))
#s(approx (+ x eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
#s(approx (+ (* (PI) 1/2) (+ eps x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) eps) (/.f64 x eps)))))
#s(approx (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))))
#s(approx (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))
#s(approx (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (PI.f64) eps))))
#s(approx (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) eps)))))
#s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/24 binary64) (cos.f64 x))))))
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) eps))) eps) (*.f64 #s(literal 1/24 binary64) (cos.f64 x)))))
#s(approx (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/24 binary64) (cos.f64 x))))))
#s(approx (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps) (*.f64 #s(literal -1/24 binary64) (cos.f64 x))))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) eps) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps) (*.f64 #s(literal -1/24 binary64) (cos.f64 x))))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) eps))) eps) (*.f64 #s(literal 1/24 binary64) (cos.f64 x)))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (*.f64 #s(literal -1/6 binary64) (sin.f64 x))) eps) (*.f64 #s(literal 1/24 binary64) (cos.f64 x)))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x)))
#s(approx (+ x eps) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (cos (+ x eps)) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)))))
#s(approx (+ (* (PI) 1/2) (+ eps x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))) eps)) #s(literal 1 binary64)))))
#s(approx (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))))
#s(approx (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))
#s(approx (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) eps)) #s(literal 1 binary64)))))
#s(approx (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) eps)) #s(literal 1/2 binary64)))))
#s(approx (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (*.f64 #s(literal -1 binary64) eps)))))
#s(approx (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))
#s(approx (* 2 (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))))
Calls

6 calls:

TimeVariablePoint
10.0ms
x
0
8.0ms
eps
inf
7.0ms
x
-inf
5.0ms
eps
-inf
5.0ms
eps
0

rewrite269.0ms (2.9%)

Memory
-63.2MiB live, 523.6MiB allocated; 106ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048424
082404
1445387
22552387
04866376
Stop Event
iter-limit
node-limit
iter-limit
Counts
44 → 620
Calls
Call 1
Inputs
eps
#s(literal -1/2 binary64)
x
(cos.f64 x)
#s(literal 1/24 binary64)
(*.f64 eps (cos.f64 x))
(*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)))
#s(literal -1/6 binary64)
(sin.f64 x)
(*.f64 #s(literal -1/6 binary64) (sin.f64 x))
(-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x))))))
(-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x))))
(cos.f64 eps)
#s(literal 1 binary64)
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (+ x eps) eps)
(cos.f64 #s(approx (+ x eps) eps))
(-.f64 (cos.f64 #s(approx (+ x eps) eps)) (cos.f64 x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
#s(literal 2 binary64)
(PI.f64)
#s(literal 1/2 binary64)
(+.f64 eps x)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))
(neg.f64 x)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sin.f64 (/.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(cos.f64 (/.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (sin.f64 (/.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
Outputs
eps
#s(literal -1/2 binary64)
x
(sin.f64 (+.f64 (fabs.f64 x) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))
(sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 x) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (neg.f64 (sin.f64 x))))
(fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(fma.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(-.f64 (*.f64 (neg.f64 (sin.f64 x)) (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (*.f64 (cos.f64 x) (sin.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))))
(cos.f64 (neg.f64 (fabs.f64 x)))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (fabs.f64 (fabs.f64 x)))
(cos.f64 (fabs.f64 x))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 x)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 (neg.f64 (sin.f64 x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(literal 1/24 binary64)
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps)
(*.f64 (*.f64 #s(literal 1/24 binary64) eps) (cos.f64 x))
(*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) (*.f64 (cos.f64 x) eps))
(*.f64 (cos.f64 x) (*.f64 #s(literal 1/24 binary64) eps))
(*.f64 eps (*.f64 (cos.f64 x) #s(literal 1/24 binary64)))
#s(literal -1/6 binary64)
(sin.f64 x)
(*.f64 (sin.f64 x) #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) (sin.f64 x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 x) #s(literal -1/6 binary64)) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) (-.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) (*.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (*.f64 (sin.f64 x) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) #s(literal -1/6 binary64)))) (+.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (sin.f64 x) #s(literal -1/6 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) #s(literal -1/6 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (fma.f64 (*.f64 (sin.f64 x) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (sin.f64 x) #s(literal -1/6 binary64))))))
(neg.f64 (fma.f64 (sin.f64 x) #s(literal -1/6 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 (cos.f64 x) eps))))
(fma.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal -1/6 binary64) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))
(fma.f64 (*.f64 #s(literal 1/24 binary64) eps) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))
(fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))
(fma.f64 #s(literal -1/6 binary64) (neg.f64 (sin.f64 x)) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))
(fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(fma.f64 (cos.f64 x) (*.f64 #s(literal 1/24 binary64) eps) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(fma.f64 eps (*.f64 (cos.f64 x) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(-.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (neg.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))
(-.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (sin.f64 x) #s(literal -1/6 binary64)))
(+.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))
(+.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)
(*.f64 eps (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))))
(neg.f64 (*.f64 (fma.f64 (sin.f64 x) #s(literal -1/6 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 (cos.f64 x) eps))) eps))
(fma.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) eps (*.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) eps))
(fma.f64 eps (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))
(+.f64 (*.f64 eps (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))
(+.f64 (*.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) eps) (*.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) eps))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (sin.f64 x) #s(literal -1/6 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 (cos.f64 x) eps))) eps) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) (*.f64 (*.f64 (fma.f64 (sin.f64 x) #s(literal -1/6 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 (cos.f64 x) eps))) eps) (*.f64 (fma.f64 (sin.f64 x) #s(literal -1/6 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 (cos.f64 x) eps))) eps))) (+.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 (fma.f64 (sin.f64 x) #s(literal -1/6 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 (cos.f64 x) eps))) eps)))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) (-.f64 (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (sin.f64 x) #s(literal -1/6 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 (cos.f64 x) eps))) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (fma.f64 (*.f64 (fma.f64 (sin.f64 x) #s(literal -1/6 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 (cos.f64 x) eps))) eps) (*.f64 (fma.f64 (sin.f64 x) #s(literal -1/6 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 (cos.f64 x) eps))) eps) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 (fma.f64 (sin.f64 x) #s(literal -1/6 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 (cos.f64 x) eps))) eps)))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps))) (-.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)))))
(neg.f64 (-.f64 (*.f64 (fma.f64 (sin.f64 x) #s(literal -1/6 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 (cos.f64 x) eps))) eps) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (neg.f64 (neg.f64 eps)) (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (neg.f64 (neg.f64 eps)) (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps))
(fma.f64 eps (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))
(-.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 (fma.f64 (sin.f64 x) #s(literal -1/6 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 (cos.f64 x) eps))) eps))
(-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) (*.f64 (neg.f64 (cos.f64 x)) #s(literal -1/2 binary64)))
(-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))
(-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) (neg.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64))))
(+.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 (neg.f64 (neg.f64 eps)) (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))))
(+.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps))
(+.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) eps) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)))) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps)
(*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) eps) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) eps))) (-.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) eps)))
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(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (neg.f64 (cos.f64 x))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (+.f64 x eps) x))) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (+.f64 (+.f64 x eps) x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (+.f64 x eps) x))) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (+.f64 (+.f64 x eps) x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 1/2 binary64)))))
(-.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (+.f64 x eps) x))) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (+.f64 (+.f64 x eps) x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (+.f64 (+.f64 x eps) x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (+.f64 x eps) x))) #s(literal 1/2 binary64)))))
(-.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (+.f64 x eps) x))) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (+.f64 (+.f64 x eps) x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (+.f64 x eps) x))) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (+.f64 (+.f64 x eps) x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 1/2 binary64))))))
(-.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (neg.f64 (cos.f64 x))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (+.f64 x eps) x))) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (+.f64 (+.f64 x eps) x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (+.f64 x eps) x))) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (+.f64 (+.f64 x eps) x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (+.f64 x eps) x))) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (+.f64 (+.f64 x eps) x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 1/2 binary64))))) (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (+.f64 x eps) x))) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (+.f64 (+.f64 x eps) x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 1/2 binary64))))))
(+.f64 (sin.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x))) (cos.f64 (+.f64 x eps)))
(+.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(+.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (+.f64 x eps) x))) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (+.f64 (+.f64 x eps) x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (+.f64 x eps) x))) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (+.f64 (+.f64 x eps) x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 1/2 binary64)))))
(+.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x))))
(+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))

eval131.0ms (1.4%)

Memory
0.7MiB live, 372.8MiB allocated; 89ms collecting garbage
Compiler

Compiled 27 861 to 5 423 computations (80.5% saved)

prune42.0ms (0.4%)

Memory
21.9MiB live, 113.6MiB allocated; 10ms collecting garbage
Pruning

35 alts after pruning (32 fresh and 3 done)

PrunedKeptTotal
New82124845
Fresh6814
Picked505
Done-231
Total83035865
Accuracy
100.0%
Counts
865 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.5%
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))) (*.f64 (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (neg.f64 (cos.f64 x))) (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (neg.f64 (cos.f64 x))))) (+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (neg.f64 (cos.f64 x)))))
53.5%
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
53.5%
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
53.2%
(-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) (cos.f64 x))
53.2%
(-.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) eps)) (cos.f64 x))
53.1%
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
53.2%
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
53.2%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
50.8%
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
50.8%
(-.f64 (cos.f64 #s(approx (+ x eps) eps)) (cos.f64 x))
80.2%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
10.2%
(*.f64 #s(literal 2 binary64) #s(approx (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))))
98.8%
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) eps (*.f64 (neg.f64 (sin.f64 x)) eps)))
98.3%
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps (*.f64 (neg.f64 (sin.f64 x)) eps)))
50.7%
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64)))
98.8%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
98.7%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) #s(approx (* eps (cos x)) eps)) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x))))
98.0%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps)))))))))) (sin.f64 x))))
98.1%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x)))))) (sin.f64 x))))
98.6%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x))))
97.6%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps #s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 x))))
98.3%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
97.6%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) (sin.f64 x))))
97.3%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 #s(approx (* -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))) (sin.f64 x))))
79.3%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))))
96.7%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))))
96.1%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))))
96.1%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))))
98.2%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))))
96.3%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (fma.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
21.5%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps))))))))
51.8%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
96.1%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (*.f64 eps x) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
51.7%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
51.7%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))))
Compiler

Compiled 1 101 to 838 computations (23.9% saved)

sample18.0ms (0.2%)

Memory
-44.6MiB live, 0.9MiB allocated; 6ms collecting garbage
Calls
Call 1
Inputs
-1/2
1/6
1/24
-1
(PI)
1/2
Outputs
#s(literal -1/2 binary64)
#s(literal 6004799503160661/36028797018963968 binary64)
#s(literal 6004799503160661/144115188075855872 binary64)
#s(literal -1 binary64)
#s(literal 884279719003555/281474976710656 binary64)
#s(literal 1/2 binary64)
Samples
0.0ms0valid
Compiler

Compiled 8 to 8 computations (0.0% saved)

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

series69.0ms (0.7%)

Memory
42.8MiB live, 134.5MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06514244
Stop Event
iter-limit
Counts
41 → 156
Calls
Call 1
Inputs
x
(cos.f64 x)
#s(literal -1/2 binary64)
#s(literal 1/6 binary64)
(sin.f64 x)
eps
(*.f64 (cos.f64 x) eps)
#s(literal 1/24 binary64)
(*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))
(fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps))
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps)
(-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x))
(*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps)
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
#s(literal -1 binary64)
(*.f64 #s(literal -1/2 binary64) eps)
(fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))
(*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (* eps (cos x)) eps)
(*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps))
(-.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) (sin.f64 x))
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) (sin.f64 x))))
(PI.f64)
#s(literal 1/2 binary64)
(+.f64 eps x)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)))
(-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) (cos.f64 x))
(*.f64 #s(literal 1/6 binary64) (sin.f64 x))
#s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))))
(-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x))))
Outputs
#s(approx x x)
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos 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 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin x) (*.f64 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 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (* (cos x) eps) eps)
#s(approx (* (cos x) eps) (+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (cos x) eps) (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 #s(literal 1/24 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* (cos x) eps) (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) eps)))))))
#s(approx (* (* (cos x) eps) 1/24) (*.f64 #s(literal 1/24 binary64) eps))
#s(approx (* (* (cos x) eps) 1/24) (fma.f64 #s(literal -1/48 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) eps)))
#s(approx (* (* (cos x) eps) 1/24) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) eps (*.f64 #s(literal 1/576 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* (* (cos x) eps) 1/24) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/17280 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/576 binary64) eps)))))))
#s(approx (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x)))
#s(approx (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 eps x))))))
#s(approx (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps)))))))
#s(approx (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps) (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps x))))
#s(approx (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/48 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 #s(literal 1/6 binary64) eps)))))
#s(approx (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/6 binary64) eps (*.f64 x (fma.f64 #s(literal -1/36 binary64) (*.f64 eps x) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps x))) #s(literal 1/2 binary64)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/6 binary64) eps (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) #s(literal 1/2 binary64)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/6 binary64) eps (*.f64 x (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/36 binary64) (*.f64 eps x) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))))) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (fma.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (fma.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/36 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (fma.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (fma.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal 1 binary64)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (fma.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 eps (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) #s(literal 1 binary64)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 x (fma.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 x (fma.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 x (fma.f64 eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))) (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 eps)))))) (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (+ (* -1 x) (* -1/2 eps)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (*.f64 eps x) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1 binary64) eps (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 eps x) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))
#s(approx (* -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) eps)))))
#s(approx (* -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) eps (*.f64 #s(literal 1/1440 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (+ eps x) (+.f64 eps x))
#s(approx (+ (* (PI) 1/2) (+ eps x)) (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (+ (* (PI) 1/2) (+ eps x)) (+.f64 eps (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (sin (+ (* (PI) 1/2) (+ eps x))) (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (sin (+ (* (PI) 1/2) (+ eps x))) (+.f64 (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 x (cos.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (sin (+ (* (PI) 1/2) (+ eps x))) (+.f64 (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 x (+.f64 (cos.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))))
#s(approx (sin (+ (* (PI) 1/2) (+ eps x))) (+.f64 (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 x (+.f64 (cos.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/6 binary64) (*.f64 x (cos.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))))))
#s(approx (- (sin (+ (* (PI) 1/2) (+ eps x))) (cos x)) (-.f64 (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 1 binary64)))
#s(approx (- (sin (+ (* (PI) 1/2) (+ eps x))) (cos x)) (-.f64 (+.f64 (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 x (cos.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) #s(literal 1 binary64)))
#s(approx (- (sin (+ (* (PI) 1/2) (+ eps x))) (cos x)) (-.f64 (+.f64 (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 x (+.f64 (cos.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))) #s(literal 1 binary64)))
#s(approx (- (sin (+ (* (PI) 1/2) (+ eps x))) (cos x)) (-.f64 (+.f64 (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 x (+.f64 (cos.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/6 binary64) (*.f64 x (cos.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))))) #s(literal 1 binary64)))
#s(approx (* 1/6 (sin x)) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (* 1/6 (sin x)) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* 1/6 (sin x)) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/36 binary64))))))
#s(approx (* 1/6 (sin x)) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/30240 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/36 binary64))))))
#s(approx (cos x) (cos.f64 x))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (cos x) eps) (*.f64 eps (cos.f64 x)))
#s(approx (* (* (cos x) eps) 1/24) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))))
#s(approx (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))
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#s(approx (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) x))
#s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
#s(approx (* -1/2 (* eps (cos x))) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))))
#s(approx (+ eps x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (+ (* (PI) 1/2) (+ eps x)) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (/.f64 eps x)))))
#s(approx (sin (+ (* (PI) 1/2) (+ eps x))) (sin.f64 (+.f64 eps (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (- (sin (+ (* (PI) 1/2) (+ eps x))) (cos x)) (-.f64 (sin.f64 (+.f64 eps (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (cos.f64 x)))
#s(approx (* 1/6 (sin x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
#s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x))))
#s(approx (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))
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#s(approx (+ (* (PI) 1/2) (+ eps x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))) x)) #s(literal 1 binary64)))))
#s(approx (sin (+ (* (PI) 1/2) (+ eps x))) (sin.f64 (-.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) x))))
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#s(approx (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x))))
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#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))))))
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#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x))))
#s(approx (+ (* (PI) 1/2) (+ eps x)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (sin (+ (* (PI) 1/2) (+ eps x))) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (sin (+ (* (PI) 1/2) (+ eps x))) (+.f64 (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 eps (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (sin (+ (* (PI) 1/2) (+ eps x))) (+.f64 (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 eps (+.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))))
#s(approx (sin (+ (* (PI) 1/2) (+ eps x))) (+.f64 (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 eps (+.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))))))
#s(approx (- (sin (+ (* (PI) 1/2) (+ eps x))) (cos x)) (-.f64 (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 x)))
#s(approx (- (sin (+ (* (PI) 1/2) (+ eps x))) (cos x)) (-.f64 (+.f64 (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 eps (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (cos.f64 x)))
#s(approx (- (sin (+ (* (PI) 1/2) (+ eps x))) (cos x)) (-.f64 (+.f64 (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 eps (+.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))) (cos.f64 x)))
#s(approx (- (sin (+ (* (PI) 1/2) (+ eps x))) (cos x)) (-.f64 (+.f64 (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 eps (+.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))))) (cos.f64 x)))
#s(approx (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps)))))
#s(approx (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))
#s(approx (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps)))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps))))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (cos.f64 x))))
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#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (cos.f64 x))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps)))))
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#s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
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#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
#s(approx (+ eps x) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (+ (* (PI) 1/2) (+ eps x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) eps) (/.f64 x eps)))))
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) eps)))))
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#s(approx (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/24 binary64) (cos.f64 x))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) eps))) eps) (*.f64 #s(literal 1/24 binary64) (cos.f64 x)))))
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#s(approx (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps) (*.f64 #s(literal -1/24 binary64) (cos.f64 x))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) eps) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps) (*.f64 #s(literal -1/24 binary64) (cos.f64 x))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) eps))) eps) (*.f64 #s(literal 1/24 binary64) (cos.f64 x)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (*.f64 #s(literal -1/6 binary64) (sin.f64 x))) eps) (*.f64 #s(literal 1/24 binary64) (cos.f64 x)))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x)))
#s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)))))
#s(approx (+ eps x) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (+ (* (PI) 1/2) (+ eps x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))) eps)) #s(literal 1 binary64)))))
#s(approx (sin (+ (* (PI) 1/2) (+ eps x))) (sin.f64 (-.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) eps))))
#s(approx (- (sin (+ (* (PI) 1/2) (+ eps x))) (cos x)) (-.f64 (sin.f64 (-.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x)))
Calls

6 calls:

TimeVariablePoint
16.0ms
eps
-inf
8.0ms
x
-inf
4.0ms
x
inf
3.0ms
eps
inf
3.0ms
eps
0

rewrite184.0ms (2.0%)

Memory
-39.1MiB live, 544.9MiB allocated; 63ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053484
087477
1449467
21727467
04040467
Stop Event
iter-limit
node-limit
iter-limit
Counts
41 → 533
Calls
Call 1
Inputs
x
(cos.f64 x)
#s(literal -1/2 binary64)
#s(literal 1/6 binary64)
(sin.f64 x)
eps
(*.f64 (cos.f64 x) eps)
#s(literal 1/24 binary64)
(*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))
(fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps))
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps)
(-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x))
(*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps)
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
#s(literal -1 binary64)
(*.f64 #s(literal -1/2 binary64) eps)
(fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))
(*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (* eps (cos x)) eps)
(*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps))
(-.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) (sin.f64 x))
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) (sin.f64 x))))
(PI.f64)
#s(literal 1/2 binary64)
(+.f64 eps x)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)))
(-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) (cos.f64 x))
(*.f64 #s(literal 1/6 binary64) (sin.f64 x))
#s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))))
(-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x))))
Outputs
x
(sin.f64 (+.f64 (neg.f64 (fabs.f64 x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (+.f64 (neg.f64 (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (+.f64 (fabs.f64 (fabs.f64 x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (+.f64 (fabs.f64 x) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (+.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))
(fma.f64 (sin.f64 (fabs.f64 x)) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(fma.f64 (sin.f64 x) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(-.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (*.f64 (cos.f64 x) (sin.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(cos.f64 (neg.f64 (neg.f64 (fabs.f64 x))))
(cos.f64 (neg.f64 (neg.f64 (neg.f64 x))))
(cos.f64 (neg.f64 (fabs.f64 (fabs.f64 x))))
(cos.f64 (fabs.f64 (neg.f64 (fabs.f64 x))))
(cos.f64 (fabs.f64 (neg.f64 (neg.f64 x))))
(cos.f64 (fabs.f64 (fabs.f64 (fabs.f64 x))))
(cos.f64 (neg.f64 (fabs.f64 x)))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (fabs.f64 (fabs.f64 x)))
(cos.f64 (fabs.f64 x))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (*.f64 (sin.f64 (fabs.f64 x)) #s(literal 0 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(+.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
#s(literal -1/2 binary64)
#s(literal 1/6 binary64)
(sin.f64 x)
eps
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
#s(literal 1/24 binary64)
(*.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps)
(*.f64 (*.f64 #s(literal 1/24 binary64) eps) (cos.f64 x))
(*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)))
(*.f64 eps (*.f64 (cos.f64 x) #s(literal 1/24 binary64)))
(*.f64 (cos.f64 x) (*.f64 #s(literal 1/24 binary64) eps))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)))) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 x)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)))) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))) (*.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))) (-.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/24 binary64) (*.f64 eps (cos.f64 x))))) (+.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/24 binary64) (*.f64 eps (cos.f64 x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 eps (cos.f64 x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (fma.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/24 binary64) (*.f64 eps (cos.f64 x)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)))) (-.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))) (+.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 #s(literal -1/6 binary64) (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))) (*.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)) (*.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 #s(literal -1/6 binary64) (sin.f64 x))))))
(neg.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (*.f64 #s(literal -1/24 binary64) (*.f64 eps (cos.f64 x)))))
(fma.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 #s(literal 1/24 binary64) eps) (cos.f64 x) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal -1/6 binary64) (*.f64 (neg.f64 (*.f64 (neg.f64 eps) (cos.f64 x))) #s(literal 1/24 binary64)))
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal -1/6 binary64) (neg.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 eps (cos.f64 x)))))
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)))
(fma.f64 #s(literal -1/6 binary64) (neg.f64 (sin.f64 x)) (*.f64 (neg.f64 (*.f64 (neg.f64 eps) (cos.f64 x))) #s(literal 1/24 binary64)))
(fma.f64 #s(literal -1/6 binary64) (neg.f64 (sin.f64 x)) (neg.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 eps (cos.f64 x)))))
(fma.f64 #s(literal -1/6 binary64) (neg.f64 (sin.f64 x)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)))
(fma.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(fma.f64 eps (*.f64 (cos.f64 x) #s(literal 1/24 binary64)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (*.f64 (neg.f64 (*.f64 (neg.f64 eps) (cos.f64 x))) #s(literal 1/24 binary64)))
(fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (neg.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 eps (cos.f64 x)))))
(fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)))
(fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (neg.f64 (*.f64 (neg.f64 eps) (cos.f64 x))) #s(literal 1/24 binary64)))
(fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (neg.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 eps (cos.f64 x)))))
(fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)))
(fma.f64 (cos.f64 x) (*.f64 #s(literal 1/24 binary64) eps) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(-.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1/6 binary64)))
(-.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (neg.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64))))
(-.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))
(-.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/24 binary64) (*.f64 eps (cos.f64 x))))
(+.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(+.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 (neg.f64 (*.f64 (neg.f64 eps) (cos.f64 x))) #s(literal 1/24 binary64)))
(+.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (neg.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 eps (cos.f64 x)))))
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(fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 eps eps) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64) (*.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))))
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (*.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))))
(fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))))
(fma.f64 eps (*.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))))
(fma.f64 (cos.f64 x) (*.f64 eps #s(literal -1/2 binary64)) (*.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))))
(-.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)) (*.f64 (neg.f64 eps) (*.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps)))
(-.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (neg.f64 eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))) eps))
(-.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)) (neg.f64 (*.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))))))
(+.f64 (*.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)) (*.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps))) (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps))) (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))) (-.f64 (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (neg.f64 (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) #s(literal 3 binary64)) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (*.f64 (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (neg.f64 (sin.f64 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (fma.f64 (sin.f64 x) (sin.f64 x) (*.f64 (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)))))
(neg.f64 (-.f64 (sin.f64 x) (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps (fma.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (neg.f64 (sin.f64 x))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps (-.f64 (*.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))) (sin.f64 x)))
(fma.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps (neg.f64 (sin.f64 x)))
(fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64) (fma.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (neg.f64 (sin.f64 x))))
(fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64) (-.f64 (*.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))) (sin.f64 x)))
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (fma.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (neg.f64 (sin.f64 x))))
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (-.f64 (*.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))) (sin.f64 x)))
(fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (fma.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (neg.f64 (sin.f64 x))))
(fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (-.f64 (*.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))) (sin.f64 x)))
(fma.f64 eps (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)) (fma.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (neg.f64 (sin.f64 x))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)) (-.f64 (*.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))) (sin.f64 x)))
(fma.f64 (cos.f64 x) (*.f64 eps #s(literal -1/2 binary64)) (fma.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (neg.f64 (sin.f64 x))))
(fma.f64 (cos.f64 x) (*.f64 eps #s(literal -1/2 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))) (sin.f64 x)))
(-.f64 (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (neg.f64 (neg.f64 (sin.f64 x))))
(-.f64 (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x))
(+.f64 (neg.f64 (sin.f64 x)) (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps))
(+.f64 (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (neg.f64 (sin.f64 x)))
(+.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))) (sin.f64 x)))
(*.f64 (-.f64 (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps)
(*.f64 eps (-.f64 (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)))
(neg.f64 (*.f64 (-.f64 (sin.f64 x) (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)) eps))
(neg.f64 (*.f64 eps (-.f64 (sin.f64 x) (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps))))
(fma.f64 (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) eps (*.f64 (neg.f64 (sin.f64 x)) eps))
(fma.f64 eps (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 eps (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) eps) (*.f64 (neg.f64 (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))

eval94.0ms (1.0%)

Memory
19.6MiB live, 293.8MiB allocated; 43ms collecting garbage
Compiler

Compiled 17 765 to 4 273 computations (75.9% saved)

prune41.0ms (0.4%)

Memory
22.0MiB live, 124.5MiB allocated; 8ms collecting garbage
Pruning

41 alts after pruning (35 fresh and 6 done)

PrunedKeptTotal
New70922731
Fresh141327
Picked505
Done-363
Total72541766
Accuracy
100.0%
Counts
766 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.5%
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))) (*.f64 (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (neg.f64 (cos.f64 x))) (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (neg.f64 (cos.f64 x))))) (+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (neg.f64 (cos.f64 x)))))
53.5%
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
53.5%
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
53.2%
(-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) (sin.f64 (+.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
53.1%
(-.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 eps x))) (cos.f64 x))
53.2%
(-.f64 (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps) x)) (cos.f64 x))
53.1%
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
53.2%
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
53.2%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
50.8%
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
50.8%
(-.f64 (cos.f64 #s(approx (+ x eps) eps)) (cos.f64 x))
80.2%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
10.2%
(*.f64 #s(literal 2 binary64) #s(approx (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))))
98.8%
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) eps (*.f64 (neg.f64 (sin.f64 x)) eps)))
98.3%
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps (*.f64 (neg.f64 (sin.f64 x)) eps)))
50.7%
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64)))
98.8%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
98.7%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 #s(approx (* (cos x) eps) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
98.0%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 #s(approx (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps))))))) eps)) eps) (sin.f64 x)) eps))
97.6%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
79.3%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x))) eps))
96.1%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) eps))
98.6%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x))))
98.1%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) #s(approx (* 1/6 (sin x)) (*.f64 #s(literal 1/6 binary64) x)))))) (sin.f64 x))))
98.3%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
97.6%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) (sin.f64 x))))
96.7%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) #s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
97.3%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 #s(approx (* -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))) (sin.f64 x))))
96.7%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))))
96.1%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))))
33.4%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (/.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x))))))))
98.2%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))))
96.0%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))))
96.0%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))))))
51.7%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) eps)))))
78.0%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) x)))))
96.3%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
21.5%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps))))))))
51.8%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
96.1%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (*.f64 eps x) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
51.7%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))))
Compiler

Compiled 1 250 to 949 computations (24.1% saved)

sample0.0ms (0.0%)

Memory
1.2MiB live, 1.1MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1/24
1/6
-1/2
-1
2
3
Outputs
#s(literal 6004799503160661/144115188075855872 binary64)
#s(literal 6004799503160661/36028797018963968 binary64)
#s(literal -1/2 binary64)
#s(literal -1 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
Samples
0.0ms0valid
Compiler

Compiled 8 to 8 computations (0.0% saved)

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

series114.0ms (1.2%)

Memory
25.1MiB live, 192.5MiB allocated; 51ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07314185
Stop Event
iter-limit
Counts
50 → 157
Calls
Call 1
Inputs
#s(literal 1/24 binary64)
x
(cos.f64 x)
(*.f64 #s(literal 1/24 binary64) (cos.f64 x))
eps
(sin.f64 x)
#s(literal 1/6 binary64)
(*.f64 (sin.f64 x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
#s(literal -1/2 binary64)
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)
(neg.f64 (sin.f64 x))
(*.f64 (neg.f64 (sin.f64 x)) eps)
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) eps (*.f64 (neg.f64 (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) eps (*.f64 (neg.f64 (sin.f64 x)) eps)))
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) x)
#s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) x))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) x)))
(*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) x)))))
(*.f64 eps x)
#s(literal 2 binary64)
(pow.f64 eps #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 eps x) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (*.f64 eps x) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (*.f64 eps x) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 eps #s(literal -1/2 binary64))
#s(literal 3 binary64)
(pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 3 binary64))
(neg.f64 x)
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(+.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x))
(-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x)))
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x)))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (/.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x))))))
(*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (/.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (/.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x))))))))
(/.f64 (sin.f64 x) eps)
(fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
(*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))))
Outputs
#s(approx x x)
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos 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 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (* 1/24 (cos x)) #s(literal 1/24 binary64))
#s(approx (* 1/24 (cos x)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* 1/24 (cos x)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/48 binary64)))))
#s(approx (* 1/24 (cos x)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/576 binary64) (*.f64 #s(literal -1/17280 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/48 binary64)))))
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin x) (*.f64 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 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (* (sin x) 1/6) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (* (sin x) 1/6) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (sin x) 1/6) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/36 binary64))))))
#s(approx (* (sin x) 1/6) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/30240 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/36 binary64))))))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (*.f64 #s(literal 1/24 binary64) eps))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x)))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 eps x))))))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps)))))))
#s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64))
#s(approx (* -1/2 (cos x)) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
#s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1440 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/48 binary64))))) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) (-.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps x))) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) (-.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/6 binary64) eps (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) (-.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/6 binary64) eps (*.f64 x (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/36 binary64) (*.f64 eps x) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))))) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) (fma.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))
#s(approx (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) (fma.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/36 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))
#s(approx (neg (sin x)) (*.f64 #s(literal -1 binary64) x))
#s(approx (neg (sin x)) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (neg (sin x)) (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))))
#s(approx (neg (sin x)) (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/120 binary64))))) #s(literal 1 binary64))))
#s(approx (* (neg (sin x)) eps) (*.f64 #s(literal -1 binary64) (*.f64 eps x)))
#s(approx (* (neg (sin x)) eps) (*.f64 x (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (neg (sin x)) eps) (*.f64 x (fma.f64 #s(literal -1 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) eps))))))
#s(approx (* (neg (sin x)) eps) (*.f64 x (fma.f64 #s(literal -1 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) eps (*.f64 #s(literal 1/5040 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))))
#s(approx (+ (* (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) eps) (* (neg (sin x)) eps)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (+ (* (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) eps) (* (neg (sin x)) eps)) (fma.f64 x (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (+ (* (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) eps) (* (neg (sin x)) eps)) (fma.f64 x (fma.f64 #s(literal -1 binary64) eps (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (+ (* (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) eps) (* (neg (sin x)) eps)) (fma.f64 x (fma.f64 #s(literal -1 binary64) eps (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) eps)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))) (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 eps)))))) (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (+ (* -1 x) (* -1/2 eps)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (*.f64 eps x) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1 binary64) eps (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 eps x) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))
#s(approx (* eps x) (*.f64 eps x))
#s(approx (pow (neg x) 3) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (pow (* eps -1/2) 3) (pow (neg x) 3)) (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (+ (pow (* eps -1/2) 3) (pow (neg x) 3)) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 3 binary64)))))
#s(approx (* (neg x) (neg x)) (pow.f64 x #s(literal 2 binary64)))
#s(approx (* (* eps -1/2) (neg x)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps x)))
#s(approx (- (* (neg x) (neg x)) (* (* eps -1/2) (neg x))) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
#s(approx (- (* (neg x) (neg x)) (* (* eps -1/2) (neg x))) (*.f64 x (-.f64 x (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (+ (* (* eps -1/2) (* eps -1/2)) (- (* (neg x) (neg x)) (* (* eps -1/2) (neg x)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (+ (* (* eps -1/2) (* eps -1/2)) (- (* (neg x) (neg x)) (* (* eps -1/2) (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (+ (* (* eps -1/2) (* eps -1/2)) (- (* (neg x) (neg x)) (* (* eps -1/2) (neg x)))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (/ (sin x) eps) (/.f64 x eps))
#s(approx (/ (sin x) eps) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) (/.f64 #s(literal 1 binary64) eps))))
#s(approx (/ (sin x) eps) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) eps))) (/.f64 #s(literal 1 binary64) eps))))
#s(approx (/ (sin x) eps) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) (*.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) eps))) (/.f64 #s(literal 1 binary64) eps))))
#s(approx (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))
#s(approx (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64)))
#s(approx (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) (-.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 x eps)))) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64)))
#s(approx (cos x) (cos.f64 x))
#s(approx (* 1/24 (cos x)) (*.f64 #s(literal 1/24 binary64) (cos.f64 x)))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (sin x) 1/6) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))
#s(approx (* -1/2 (cos x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))))
#s(approx (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))))
#s(approx (neg (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))
#s(approx (* (neg (sin x)) eps) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x))))
#s(approx (+ (* (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) eps) (* (neg (sin x)) eps)) (fma.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
#s(approx (+ (* -1 (* eps x)) (* -1/2 (pow eps 2))) (*.f64 x (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
#s(approx (+ (pow (* eps -1/2) 3) (pow (neg x) 3)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))))
#s(approx (- (* (neg x) (neg x)) (* (* eps -1/2) (neg x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))))
#s(approx (+ (* (* eps -1/2) (* eps -1/2)) (- (* (neg x) (neg x)) (* (* eps -1/2) (neg x)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))))
#s(approx (/ (+ (pow (* eps -1/2) 3) (pow (neg x) 3)) (+ (* (* eps -1/2) (* eps -1/2)) (- (* (neg x) (neg x)) (* (* eps -1/2) (neg x))))) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))))
#s(approx (/ (+ (pow (* eps -1/2) 3) (pow (neg x) 3)) (+ (* (* eps -1/2) (* eps -1/2)) (- (* (neg x) (neg x)) (* (* eps -1/2) (neg x))))) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 eps (fma.f64 #s(literal -1/4 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))))))
#s(approx (/ (sin x) eps) (/.f64 (sin.f64 x) eps))
#s(approx (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
#s(approx (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 x)))
#s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))))
#s(approx (+ (* -1 (* eps x)) (* -1/2 (pow eps 2))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 eps (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
#s(approx (+ (pow (* eps -1/2) 3) (pow (neg x) 3)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))))
#s(approx (+ (* (* eps -1/2) (* eps -1/2)) (- (* (neg x) (neg x)) (* (* eps -1/2) (neg x)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 #s(literal -1/2 binary64) eps)) x)))))
#s(approx (/ (+ (pow (* eps -1/2) 3) (pow (neg x) 3)) (+ (* (* eps -1/2) (* eps -1/2)) (- (* (neg x) (neg x)) (* (* eps -1/2) (neg x))))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) (*.f64 #s(literal 1/2 binary64) eps)) x))))))
#s(approx (/ (+ (pow (* eps -1/2) 3) (pow (neg x) 3)) (+ (* (* eps -1/2) (* eps -1/2)) (- (* (neg x) (neg x)) (* (* eps -1/2) (neg x))))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 eps (fma.f64 #s(literal -1/4 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))) x)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))) x)) (*.f64 #s(literal 1/2 binary64) eps)) x))))))
#s(approx eps eps)
#s(approx (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x)))))
#s(approx (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))))
#s(approx (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))))
#s(approx (+ (* (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) eps) (* (neg (sin x)) eps)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))))))
#s(approx (+ (* (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) eps) (* (neg (sin x)) eps)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))))))
#s(approx (+ (* (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) eps) (* (neg (sin x)) eps)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x))))
#s(approx (pow eps 2) (pow.f64 eps #s(literal 2 binary64)))
#s(approx (+ (* -1 (* eps x)) (* -1/2 (pow eps 2))) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps))))
#s(approx (- (* (neg x) (neg x)) (* (* eps -1/2) (neg x))) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* (* eps -1/2) (* eps -1/2)) (- (* (neg x) (neg x)) (* (* eps -1/2) (neg x)))) (fma.f64 eps (-.f64 (*.f64 #s(literal 1/4 binary64) eps) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps)))
#s(approx (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) (/.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))) eps))
#s(approx (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))) (fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps)))))
#s(approx (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))
#s(approx (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps)))))
#s(approx (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps))))))
#s(approx (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (cos.f64 x))))
#s(approx (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps)))))
#s(approx (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps))))))
#s(approx (+ (* (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) eps) (* (neg (sin x)) eps)) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (cos.f64 x))))
#s(approx (+ (* (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) eps) (* (neg (sin x)) eps)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps)))))
#s(approx (+ (* (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) eps) (* (neg (sin x)) eps)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps))))))
#s(approx (+ (* (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) eps) (* (neg (sin x)) eps)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps)))))))
#s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
#s(approx (+ (* -1 (* eps x)) (* -1/2 (pow eps 2))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
#s(approx (+ (pow (* eps -1/2) 3) (pow (neg x) 3)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) #s(literal 1/8 binary64))))
#s(approx (- (* (neg x) (neg x)) (* (* eps -1/2) (neg x))) (*.f64 eps (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (+ (* (* eps -1/2) (* eps -1/2)) (- (* (neg x) (neg x)) (* (* eps -1/2) (neg x)))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)))))
#s(approx (+ (* (* eps -1/2) (* eps -1/2)) (- (* (neg x) (neg x)) (* (* eps -1/2) (neg x)))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x eps)))))
#s(approx (/ (+ (pow (* eps -1/2) 3) (pow (neg x) 3)) (+ (* (* eps -1/2) (* eps -1/2)) (- (* (neg x) (neg x)) (* (* eps -1/2) (neg x))))) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))))
#s(approx (/ (+ (pow (* eps -1/2) 3) (pow (neg x) 3)) (+ (* (* eps -1/2) (* eps -1/2)) (- (* (neg x) (neg x)) (* (* eps -1/2) (neg x))))) (*.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 eps #s(literal 3 binary64)))) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 x eps)))))))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/24 binary64) (cos.f64 x))))))
#s(approx (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) eps))) eps) (*.f64 #s(literal 1/24 binary64) (cos.f64 x)))))
#s(approx (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/24 binary64) (cos.f64 x))))))
#s(approx (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps) (*.f64 #s(literal -1/24 binary64) (cos.f64 x))))))
#s(approx (+ (* (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) eps) (* (neg (sin x)) eps)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) eps))) eps) (*.f64 #s(literal 1/24 binary64) (cos.f64 x)))))
#s(approx (+ (* (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) eps) (* (neg (sin x)) eps)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (*.f64 #s(literal -1/6 binary64) (sin.f64 x))) eps) (*.f64 #s(literal 1/24 binary64) (cos.f64 x)))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x)))
#s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)))))
#s(approx (+ (pow (* eps -1/2) 3) (pow (neg x) 3)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))))))
#s(approx (- (* (neg x) (neg x)) (* (* eps -1/2) (neg x))) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 #s(literal -1/2 binary64) x)))))
#s(approx (+ (* (* eps -1/2) (* eps -1/2)) (- (* (neg x) (neg x)) (* (* eps -1/2) (neg x)))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 #s(literal -1/2 binary64) x)) eps)))))
#s(approx (/ (+ (pow (* eps -1/2) 3) (pow (neg x) 3)) (+ (* (* eps -1/2) (* eps -1/2)) (- (* (neg x) (neg x)) (* (* eps -1/2) (neg x))))) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))) x) eps))))))
#s(approx (/ (+ (pow (* eps -1/2) 3) (pow (neg x) 3)) (+ (* (* eps -1/2) (* eps -1/2)) (- (* (neg x) (neg x)) (* (* eps -1/2) (neg x))))) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) eps)) (fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) eps)) x) eps))))))
Calls

6 calls:

TimeVariablePoint
24.0ms
eps
-inf
11.0ms
x
-inf
7.0ms
x
inf
6.0ms
x
0
6.0ms
eps
inf

rewrite316.0ms (3.4%)

Memory
3.5MiB live, 529.2MiB allocated; 148ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062628
0101592
1496567
22084567
04078489
Stop Event
iter-limit
node-limit
iter-limit
Counts
50 → 620
Calls
Call 1
Inputs
#s(literal 1/24 binary64)
x
(cos.f64 x)
(*.f64 #s(literal 1/24 binary64) (cos.f64 x))
eps
(sin.f64 x)
#s(literal 1/6 binary64)
(*.f64 (sin.f64 x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
#s(literal -1/2 binary64)
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)
(neg.f64 (sin.f64 x))
(*.f64 (neg.f64 (sin.f64 x)) eps)
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) eps (*.f64 (neg.f64 (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) eps (*.f64 (neg.f64 (sin.f64 x)) eps)))
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) x)
#s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) x))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) x)))
(*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) x)))))
(*.f64 eps x)
#s(literal 2 binary64)
(pow.f64 eps #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 eps x) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (*.f64 eps x) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (*.f64 eps x) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 eps #s(literal -1/2 binary64))
#s(literal 3 binary64)
(pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 3 binary64))
(neg.f64 x)
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(+.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x))
(-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x)))
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x)))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (/.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x))))))
(*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (/.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (/.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x))))))))
(/.f64 (sin.f64 x) eps)
(fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
(*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))))
Outputs
#s(literal 1/24 binary64)
x
(sin.f64 (+.f64 (neg.f64 (fabs.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (fabs.f64 (fabs.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (fabs.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))
(fma.f64 (sin.f64 (fabs.f64 x)) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(fma.f64 (sin.f64 x) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(-.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (*.f64 (cos.f64 x) (sin.f64 (neg.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(cos.f64 (neg.f64 (neg.f64 (fabs.f64 x))))
(cos.f64 (neg.f64 (fabs.f64 (fabs.f64 x))))
(cos.f64 (fabs.f64 (neg.f64 (fabs.f64 x))))
(cos.f64 (fabs.f64 (fabs.f64 (fabs.f64 x))))
(cos.f64 (-.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(cos.f64 (neg.f64 (fabs.f64 x)))
(cos.f64 (fabs.f64 (fabs.f64 x)))
(cos.f64 (fabs.f64 x))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (*.f64 (sin.f64 (fabs.f64 x)) #s(literal 0 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(+.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 (cos.f64 x) #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) (cos.f64 x))
eps
(neg.f64 (neg.f64 (sin.f64 x)))
(sin.f64 (neg.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(sin.f64 (+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (neg.f64 (+.f64 (PI.f64) x)))
(sin.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))
(sin.f64 (+.f64 (neg.f64 x) (PI.f64)))
(sin.f64 x)
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64) (*.f64 (cos.f64 x) #s(literal 0 binary64)))
(-.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal 0 binary64)) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)))
(-.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (*.f64 (cos.f64 x) #s(literal 0 binary64)))
(-.f64 (*.f64 (cos.f64 x) #s(literal 0 binary64)) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)))
(cos.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(cos.f64 (fabs.f64 (+.f64 (+.f64 (PI.f64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(cos.f64 (fabs.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(cos.f64 (fabs.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64))))
(cos.f64 (neg.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(cos.f64 (neg.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64))))
(cos.f64 (+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(cos.f64 (+.f64 (fabs.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (PI.f64)))
(cos.f64 (+.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (PI.f64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(cos.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(cos.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64)))
(+.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 0 binary64)))
(+.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (*.f64 (cos.f64 x) #s(literal 0 binary64)))
#s(literal 1/6 binary64)
(*.f64 #s(literal 1/6 binary64) (sin.f64 x))
(*.f64 (sin.f64 x) #s(literal 1/6 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 x)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)))) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)))) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) (*.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)))) (-.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))) (+.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 #s(literal -1/6 binary64) (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) (-.f64 (*.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)) (*.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 #s(literal -1/6 binary64) (sin.f64 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) (-.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) (*.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))))
(neg.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 x)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))))
(fma.f64 (*.f64 eps #s(literal 1/24 binary64)) (cos.f64 x) (neg.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 x))))
(fma.f64 (*.f64 eps #s(literal 1/24 binary64)) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(fma.f64 (*.f64 #s(literal 1/24 binary64) eps) (cos.f64 x) (neg.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 x))))
(fma.f64 (*.f64 #s(literal 1/24 binary64) eps) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(fma.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64) (neg.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 x))))
(fma.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)))
(fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)))
(fma.f64 eps (*.f64 (cos.f64 x) #s(literal 1/24 binary64)) (neg.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 x))))
(fma.f64 eps (*.f64 (cos.f64 x) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(fma.f64 (*.f64 (cos.f64 x) #s(literal 1/24 binary64)) eps (neg.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 x))))
(fma.f64 (*.f64 (cos.f64 x) #s(literal 1/24 binary64)) eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(fma.f64 (cos.f64 x) (*.f64 #s(literal 1/24 binary64) eps) (neg.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 x))))
(fma.f64 (cos.f64 x) (*.f64 #s(literal 1/24 binary64) eps) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (neg.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 x))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(-.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))
(-.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) (*.f64 (neg.f64 eps) (*.f64 (cos.f64 x) #s(literal 1/24 binary64))))
(-.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) (*.f64 (neg.f64 (*.f64 (cos.f64 x) #s(literal 1/24 binary64))) eps))
(-.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) (*.f64 #s(literal -1/24 binary64) (*.f64 eps (cos.f64 x))))
(-.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) (neg.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))))
(+.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (neg.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 x))))
(+.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(+.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)))
#s(literal -1/2 binary64)
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
(*.f64 (cos.f64 x) #s(literal -1/2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 eps (*.f64 (cos.f64 x) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (*.f64 (fma.f64 eps (*.f64 (cos.f64 x) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps))) (*.f64 (fma.f64 eps (*.f64 (cos.f64 x) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (fma.f64 eps (*.f64 (cos.f64 x) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps))) (*.f64 (fma.f64 eps (*.f64 (cos.f64 x) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 (*.f64 (fma.f64 eps (*.f64 (cos.f64 x) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps) (*.f64 (fma.f64 eps (*.f64 (cos.f64 x) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps))) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (fma.f64 eps (*.f64 (cos.f64 x) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps)))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 eps (*.f64 (cos.f64 x) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps) (*.f64 (fma.f64 eps (*.f64 (cos.f64 x) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))) (+.f64 (*.f64 (fma.f64 eps (*.f64 (cos.f64 x) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))
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(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 eps (*.f64 (cos.f64 x) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 eps (*.f64 (cos.f64 x) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps) (*.f64 (fma.f64 eps (*.f64 (cos.f64 x) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (*.f64 (*.f64 (fma.f64 eps (*.f64 (cos.f64 x) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))))
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(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) eps) (/.f64 (neg.f64 (sin.f64 x)) eps)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (-.f64 (/.f64 (neg.f64 (sin.f64 x)) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(/.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 (sin.f64 x)) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (neg.f64 (sin.f64 x)) eps) (/.f64 (neg.f64 (sin.f64 x)) eps) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 (/.f64 (neg.f64 (sin.f64 x)) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)) (sin.f64 x)) eps)
(neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) eps)))
(fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))
(fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (neg.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))
(fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) eps) (neg.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))
(fma.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps))
(fma.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (neg.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))
(fma.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 (sin.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) eps)) (neg.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))
(fma.f64 (sin.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (/.f64 (neg.f64 (sin.f64 x)) eps))
(-.f64 (/.f64 (neg.f64 (sin.f64 x)) eps) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))
(-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (/.f64 (neg.f64 (sin.f64 x)) eps) #s(literal -1 binary64)))
(-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) eps)))
(-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))
(+.f64 (/.f64 (neg.f64 (sin.f64 x)) eps) (neg.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))
(+.f64 (/.f64 (neg.f64 (sin.f64 x)) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) eps))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)) (*.f64 (neg.f64 eps) (/.f64 (sin.f64 x) eps)))) (*.f64 (neg.f64 eps) (/.f64 (sin.f64 x) eps)))
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) eps)
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 eps) (/.f64 (sin.f64 x) eps)) (*.f64 (neg.f64 eps) (/.f64 (sin.f64 x) eps))) (*.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)))) (-.f64 (*.f64 (neg.f64 eps) (/.f64 (sin.f64 x) eps)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 eps) (/.f64 (sin.f64 x) eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 eps) (/.f64 (sin.f64 x) eps)) (*.f64 (neg.f64 eps) (/.f64 (sin.f64 x) eps)) (-.f64 (*.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64))) (*.f64 (*.f64 (neg.f64 eps) (/.f64 (sin.f64 x) eps)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64))))))
(fma.f64 (*.f64 eps (/.f64 (sin.f64 x) eps)) #s(literal -1 binary64) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 eps) (/.f64 (sin.f64 x) eps) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)))
(fma.f64 (/.f64 (neg.f64 (sin.f64 x)) eps) eps (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)))
(fma.f64 (/.f64 (sin.f64 x) eps) (neg.f64 eps) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (*.f64 (neg.f64 eps) (/.f64 (sin.f64 x) eps)))
(fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64) (*.f64 (neg.f64 eps) (/.f64 (sin.f64 x) eps)))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sin.f64 x) eps) eps) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps (*.f64 (neg.f64 eps) (/.f64 (sin.f64 x) eps)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)) (*.f64 (neg.f64 eps) (/.f64 (sin.f64 x) eps)))
(fma.f64 eps (/.f64 (neg.f64 (sin.f64 x)) eps) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)))
(fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (neg.f64 eps) (/.f64 (sin.f64 x) eps)))
(fma.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (neg.f64 eps) (/.f64 (sin.f64 x) eps)))
(-.f64 (*.f64 (neg.f64 eps) (/.f64 (sin.f64 x) eps)) (*.f64 (neg.f64 eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(-.f64 (*.f64 (neg.f64 eps) (/.f64 (sin.f64 x) eps)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) eps))
(-.f64 (*.f64 (neg.f64 eps) (/.f64 (sin.f64 x) eps)) (neg.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64))))
(+.f64 (*.f64 (neg.f64 eps) (/.f64 (sin.f64 x) eps)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)) (*.f64 (neg.f64 eps) (/.f64 (sin.f64 x) eps)))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) eps))
(*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) eps)) eps)
(*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) eps)) eps))

eval190.0ms (2.0%)

Memory
-1.6MiB live, 373.2MiB allocated; 174ms collecting garbage
Compiler

Compiled 25 568 to 5 042 computations (80.3% saved)

prune51.0ms (0.5%)

Memory
-6.5MiB live, 88.7MiB allocated; 16ms collecting garbage
Pruning

45 alts after pruning (39 fresh and 6 done)

PrunedKeptTotal
New79517812
Fresh82230
Picked505
Done066
Total80845853
Accuracy
100.0%
Counts
853 → 45
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.5%
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))) (*.f64 (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (neg.f64 (cos.f64 x))) (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (neg.f64 (cos.f64 x))))) (+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (neg.f64 (cos.f64 x)))))
53.5%
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
53.5%
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
53.2%
(-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) (sin.f64 (+.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
53.1%
(-.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 eps x))) (cos.f64 x))
53.2%
(-.f64 (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps) x)) (cos.f64 x))
53.1%
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
53.2%
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
53.2%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
50.8%
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
50.8%
(-.f64 (cos.f64 #s(approx (+ x eps) eps)) (cos.f64 x))
80.2%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
10.2%
(*.f64 #s(literal 2 binary64) #s(approx (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))))
14.7%
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) eps (*.f64 (sin.f64 (neg.f64 (+.f64 (neg.f64 x) (PI.f64)))) eps)))
97.9%
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps))))))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) eps (*.f64 (neg.f64 (sin.f64 x)) eps)))
98.1%
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) eps (*.f64 (neg.f64 (sin.f64 x)) eps)))
98.3%
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps (*.f64 (neg.f64 (sin.f64 x)) eps)))
98.8%
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 eps (*.f64 (cos.f64 x) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) eps) (*.f64 (sin.f64 x) eps)))
50.7%
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64)))
98.8%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
98.7%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 #s(approx (* (cos x) eps) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
98.0%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 #s(approx (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps))))))) eps)) eps) (sin.f64 x)) eps))
97.6%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
79.3%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x))) eps))
96.1%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) eps))
98.2%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) eps)) eps))
78.0%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (neg.f64 x))) eps))
98.6%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x))))
98.1%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) #s(approx (* 1/6 (sin x)) (*.f64 #s(literal 1/6 binary64) x)))))) (sin.f64 x))))
98.3%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
97.6%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) (sin.f64 x))))
96.7%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) #s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
97.3%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 #s(approx (* -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))) (sin.f64 x))))
96.7%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))))
96.1%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))))
14.2%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))))
98.2%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps (/.f64 (-.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)) (sin.f64 x)) eps)))))
96.5%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps #s(approx (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) (-.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 x eps)))) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64)))))))
96.0%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps #s(approx (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64)))))))
96.0%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))))
51.7%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) eps)))))
51.8%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) eps) (* (neg (sin x)) eps)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
96.3%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 (neg.f64 x) eps (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
96.1%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 eps x))))
51.7%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))))
Compiler

Compiled 731 to 564 computations (22.8% saved)

regimes378.0ms (4.0%)

Memory
13.1MiB live, 576.1MiB allocated; 94ms collecting garbage
Counts
3 → 1
6 → 1
14 → 1
25 → 1
33 → 1
47 → 1
67 → 1
69 → 1
71 → 1
83 → 1
Calls
Call 1
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) x)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) eps)))))
Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (neg.f64 x))) eps))
Call 2
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) x)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 eps x))))
Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) eps))
Call 3
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) x)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 eps x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 (neg.f64 x) eps (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps #s(approx (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64)))))))
Outputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 (neg.f64 x) eps (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
Call 4
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) x)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 eps x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 (neg.f64 x) eps (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps #s(approx (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (*.f64 eps x) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps #s(approx (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) (-.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 x eps)))) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) #s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x))) eps))
Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))))
Call 5
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) x)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 eps x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 (neg.f64 x) eps (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps #s(approx (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (*.f64 eps x) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps #s(approx (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) (-.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 x eps)))) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) #s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) eps) (* (neg (sin x)) eps)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) (sin.f64 x))))
Call 6
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) x)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 eps x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 (neg.f64 x) eps (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps #s(approx (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (*.f64 eps x) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps #s(approx (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) (-.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 x eps)))) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) #s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) eps) (* (neg (sin x)) eps)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps #s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 #s(approx (* -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 #s(approx (* -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))) (sin.f64 x))))
(-.f64 (cos.f64 #s(approx (+ x eps) eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (/.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x))))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (fma.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
(-.f64 (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps) x)) (cos.f64 x))
(-.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) eps)) (cos.f64 x))
(-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) (cos.f64 x))
(-.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 eps x))) (cos.f64 x))
Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps #s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 x))))
Call 7
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) x)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 eps x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 (neg.f64 x) eps (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps #s(approx (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (*.f64 eps x) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps #s(approx (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) (-.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 x eps)))) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) #s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) eps) (* (neg (sin x)) eps)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps #s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 #s(approx (* -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 #s(approx (* -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))) (sin.f64 x))))
(-.f64 (cos.f64 #s(approx (+ x eps) eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (/.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x))))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (fma.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
(-.f64 (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps) x)) (cos.f64 x))
(-.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) eps)) (cos.f64 x))
(-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) (cos.f64 x))
(-.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 eps x))) (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps (*.f64 (neg.f64 (sin.f64 x)) eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) eps)) eps))
(-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) (sin.f64 (+.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps (/.f64 (-.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)) (sin.f64 x)) eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) #s(approx (* 1/6 (sin x)) (*.f64 #s(literal 1/6 binary64) x)))))) (sin.f64 x))))
(*.f64 #s(literal 2 binary64) #s(approx (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x)))))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) eps (*.f64 (neg.f64 (sin.f64 x)) eps)))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (+.f64 eps x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (neg.f64 x) (PI.f64)) (+.f64 eps x)) #s(literal 2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps)))))))))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 #s(approx (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps))))))) eps)) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps))))))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) eps (*.f64 (neg.f64 (sin.f64 x)) eps)))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
Call 8
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) x)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 eps x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 (neg.f64 x) eps (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps #s(approx (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (*.f64 eps x) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps #s(approx (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) (-.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 x eps)))) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) #s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) eps) (* (neg (sin x)) eps)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps #s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 #s(approx (* -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 #s(approx (* -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))) (sin.f64 x))))
(-.f64 (cos.f64 #s(approx (+ x eps) eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (/.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x))))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (fma.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
(-.f64 (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps) x)) (cos.f64 x))
(-.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) eps)) (cos.f64 x))
(-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) (cos.f64 x))
(-.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 eps x))) (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps (*.f64 (neg.f64 (sin.f64 x)) eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) eps)) eps))
(-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) (sin.f64 (+.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps (/.f64 (-.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)) (sin.f64 x)) eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) #s(approx (* 1/6 (sin x)) (*.f64 #s(literal 1/6 binary64) x)))))) (sin.f64 x))))
(*.f64 #s(literal 2 binary64) #s(approx (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x)))))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) eps (*.f64 (neg.f64 (sin.f64 x)) eps)))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (+.f64 eps x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (neg.f64 x) (PI.f64)) (+.f64 eps x)) #s(literal 2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps)))))))))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 #s(approx (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps))))))) eps)) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps))))))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) eps (*.f64 (neg.f64 (sin.f64 x)) eps)))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x))))
Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x))))
Call 9
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) x)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 eps x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 (neg.f64 x) eps (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps #s(approx (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (*.f64 eps x) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps #s(approx (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) (-.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 x eps)))) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) #s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) eps) (* (neg (sin x)) eps)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps #s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 #s(approx (* -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 #s(approx (* -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))) (sin.f64 x))))
(-.f64 (cos.f64 #s(approx (+ x eps) eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (/.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x))))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (fma.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
(-.f64 (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps) x)) (cos.f64 x))
(-.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) eps)) (cos.f64 x))
(-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) (cos.f64 x))
(-.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 eps x))) (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps (*.f64 (neg.f64 (sin.f64 x)) eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) eps)) eps))
(-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) (sin.f64 (+.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps (/.f64 (-.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)) (sin.f64 x)) eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) #s(approx (* 1/6 (sin x)) (*.f64 #s(literal 1/6 binary64) x)))))) (sin.f64 x))))
(*.f64 #s(literal 2 binary64) #s(approx (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x)))))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) eps (*.f64 (neg.f64 (sin.f64 x)) eps)))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (+.f64 eps x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (neg.f64 x) (PI.f64)) (+.f64 eps x)) #s(literal 2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps)))))))))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 #s(approx (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps))))))) eps)) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps))))))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) eps (*.f64 (neg.f64 (sin.f64 x)) eps)))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 #s(approx (* (cos x) eps) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) #s(approx (* eps (cos x)) eps)) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x))))
Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 #s(approx (* (cos x) eps) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
Call 10
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) x)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 eps x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 (neg.f64 x) eps (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps #s(approx (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (*.f64 eps x) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps #s(approx (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) (-.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 x eps)))) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) #s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) eps) (* (neg (sin x)) eps)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps #s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 #s(approx (* -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 #s(approx (* -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))) (sin.f64 x))))
(-.f64 (cos.f64 #s(approx (+ x eps) eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (/.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x))))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (fma.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
(-.f64 (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps) x)) (cos.f64 x))
(-.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) eps)) (cos.f64 x))
(-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) (cos.f64 x))
(-.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 eps x))) (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps (*.f64 (neg.f64 (sin.f64 x)) eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) eps)) eps))
(-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) (sin.f64 (+.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps (/.f64 (-.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)) (sin.f64 x)) eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) #s(approx (* 1/6 (sin x)) (*.f64 #s(literal 1/6 binary64) x)))))) (sin.f64 x))))
(*.f64 #s(literal 2 binary64) #s(approx (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x)))))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) eps (*.f64 (neg.f64 (sin.f64 x)) eps)))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (+.f64 eps x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (neg.f64 x) (PI.f64)) (+.f64 eps x)) #s(literal 2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps)))))))))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 #s(approx (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps))))))) eps)) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps))))))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) eps (*.f64 (neg.f64 (sin.f64 x)) eps)))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 #s(approx (* (cos x) eps) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) #s(approx (* eps (cos x)) eps)) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 eps (*.f64 (cos.f64 x) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) eps) (*.f64 (sin.f64 x) eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) eps (*.f64 (neg.f64 (sin.f64 x)) eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) eps (*.f64 (neg.f64 (sin.f64 x)) eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) eps (*.f64 (sin.f64 (neg.f64 (+.f64 (neg.f64 x) (PI.f64)))) eps)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps))))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))) (*.f64 (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (neg.f64 (cos.f64 x))) (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (neg.f64 (cos.f64 x))))) (+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (neg.f64 (cos.f64 x)))))
Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
Calls

30 calls:

39.0ms
eps
29.0ms
eps
28.0ms
eps
27.0ms
x
23.0ms
x
Results
AccuracySegmentsBranch
78.0%1x
78.0%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
78.0%1eps
96.1%1x
96.1%1eps
96.1%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
96.3%1x
96.3%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
96.3%1eps
96.7%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
96.7%1x
96.7%1eps
97.6%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
97.6%1x
97.6%1eps
97.6%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
97.6%1x
97.6%1eps
98.3%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
98.3%1x
98.3%1eps
98.6%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
98.6%1x
98.6%1eps
98.7%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
98.7%1x
98.7%1eps
98.8%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
98.8%1x
98.8%1eps
Compiler

Compiled 1 516 to 564 computations (62.8% saved)

derivations55.0ms (0.6%)

Memory
21.2MiB live, 21.2MiB allocated; 0ms collecting garbage
Stop Event
fuel
Compiler

Compiled 148 to 78 computations (47.3% saved)

preprocess99.0ms (1.1%)

Memory
-17.4MiB live, 84.2MiB allocated; 57ms collecting garbage
Compiler

Compiled 185 to 109 computations (41.1% saved)

end0.0ms (0.0%)

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

Profiling

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