2cos (problem 3.3.5)

Time bar (total: 11.8s)

start0.0ms (0%)

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

analyze77.0ms (0.7%)

Memory
-46.8MiB live, 50.4MiB allocated; 61ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50.6%49.4%0%0%0%0
0%0%50.6%49.4%0%0%0%1
0%0%50.6%49.4%0%0%0%2
0%0%25.3%49.4%0%25.3%0%3
0%0%25.3%49.4%0%25.3%0%4
0%0%19%49.4%0%31.6%0%5
0%0%15.8%49.4%0%34.8%0%6
0%0%11.1%49.4%0%39.5%0%7
0%0%8.7%49.4%0%41.9%0%8
0%0%5.9%49.4%0%44.6%0%9
0%0%4.5%49.4%0%46%0%10
0%0%3.1%49.4%0%47.5%0%11
0%0%2.7%49.4%0%47.9%0%12
Compiler

Compiled 27 to 19 computations (29.6% saved)

sample6.8s (57.5%)

Memory
149.7MiB live, 5 328.4MiB allocated; 2.2s collecting garbage
Samples
2.6s5 814×2valid
2.3s26 249×0invalid
385.0ms2 403×1valid
4.0ms39×0valid
Precisions
Click to see histograms. Total time spent on operations: 4.2s
ival-cos: 2.7s (63.5% of total)
adjust: 572.0ms (13.6% of total)
ival-fabs: 248.0ms (5.9% of total)
ival-<: 223.0ms (5.3% of total)
ival-sub!: 145.0ms (3.4% of total)
ival-mult!: 138.0ms (3.3% of total)
ival-add!: 130.0ms (3.1% of total)
ival-and: 67.0ms (1.6% of total)
ival-assert: 13.0ms (0.3% of total)
Bogosity

preprocess73.0ms (0.6%)

Memory
-51.6MiB live, 55.6MiB allocated; 49ms 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
57.0%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 14 to 12 computations (14.3% saved)

series83.0ms (0.7%)

Memory
26.1MiB live, 69.8MiB allocated; 14ms collecting garbage
Counts
6 → 33
Calls
Call 1
Inputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(cos.f64 x)
Outputs
#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 (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 (+ x eps) eps)
#s(approx (+ x eps) (+.f64 eps x))
#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 (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (cos (+ x eps)) (cos.f64 (+.f64 eps x)))
#s(approx (+ x eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (cos x) (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 (cos (+ x eps)) (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) 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 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 (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 (+ x eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x)))
#s(approx (cos (+ x eps)) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) 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)))))
Calls

6 calls:

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

rewrite149.0ms (1.3%)

Memory
3.2MiB live, 141.1MiB allocated; 46ms collecting garbage
Counts
6 → 18
Calls
Call 1
Inputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(cos.f64 x)
Outputs
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 x eps) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64)))))
(+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(neg.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(cos.f64 (+.f64 x eps))
(cos.f64 (fabs.f64 (+.f64 x eps)))
(cos.f64 (neg.f64 (+.f64 x eps)))
(sin.f64 (+.f64 (+.f64 x eps) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 x eps)
(+.f64 eps x)
(-.f64 x (neg.f64 eps))
x
eps
(cos.f64 x)
(cos.f64 (fabs.f64 x))
(cos.f64 (neg.f64 x))
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))

eval5.0ms (0%)

Memory
8.9MiB live, 8.9MiB allocated; 0ms collecting garbage
Compiler

Compiled 711 to 215 computations (69.8% saved)

prune7.0ms (0.1%)

Memory
11.3MiB live, 11.3MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New36945
Fresh000
Picked011
Done000
Total361046
Accuracy
99.8%
Counts
46 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.0%
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))
57.0%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
55.9%
(-.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))))))
55.2%
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
83.7%
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 x eps) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64)))))
56.1%
#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)))
55.1%
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
99.4%
#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))))
99.2%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
80.0%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x))))
Compiler

Compiled 293 to 228 computations (22.2% saved)

series172.0ms (1.5%)

Memory
-4.8MiB live, 220.4MiB allocated; 63ms collecting garbage
Counts
31 → 118
Calls
Call 1
Inputs
#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))))
(*.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)))
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))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))
#s(literal -1/2 binary64)
(cos.f64 x)
x
(*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x)))
#s(literal 1/6 binary64)
(*.f64 eps (sin.f64 x))
(sin.f64 x)
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(cos.f64 eps)
#s(literal 1 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
#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)))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64))
(+.f64 (cos.f64 eps) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps))))
(*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps)))
(*.f64 x (sin.f64 eps))
(sin.f64 eps)
#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 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))
(*.f64 eps (cos.f64 x))
Outputs
#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 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.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 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.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)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 eps x))) #s(literal 1 binary64)))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/4 binary64) eps (*.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 (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
#s(approx (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 eps x))))))
#s(approx (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (fma.f64 #s(literal -1/2 binary64) eps (*.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 #s(literal 1/4 binary64) eps)))))))
#s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64))
#s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))
#s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) eps (*.f64 #s(literal 1/4 binary64) x))) #s(literal 1/2 binary64)))
#s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) eps (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 eps x)))))) #s(literal 1/2 binary64)))
#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 x x)
#s(approx (* 1/6 (* eps (sin x))) (*.f64 #s(literal 1/6 binary64) (*.f64 eps x)))
#s(approx (* 1/6 (* eps (sin x))) (*.f64 x (fma.f64 #s(literal -1/36 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) eps))))
#s(approx (* 1/6 (* eps (sin x))) (*.f64 x (fma.f64 #s(literal 1/6 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/36 binary64) eps (*.f64 #s(literal 1/720 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (* 1/6 (* eps (sin x))) (*.f64 x (fma.f64 #s(literal 1/6 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/36 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/30240 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/720 binary64) eps))))))))
#s(approx (* eps (sin x)) (*.f64 eps x))
#s(approx (* eps (sin x)) (*.f64 x (+.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* eps (sin x)) (*.f64 x (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) eps (*.f64 #s(literal 1/120 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (* eps (sin x)) (*.f64 x (+.f64 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 -1/5040 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/120 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 (* eps (sin x))) (*.f64 #s(literal -1 binary64) (*.f64 eps x)))
#s(approx (* -1 (* eps (sin x))) (*.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 (* -1 (* eps (sin x))) (*.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 (* -1 (* eps (sin x))) (*.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 (+ (cos eps) (* -1 (* x (sin eps)))) (cos.f64 eps))
#s(approx (+ (cos eps) (* -1 (* x (sin eps)))) (+.f64 (cos.f64 eps) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps)))))
#s(approx (* -1 (* x (sin eps))) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps))))
#s(approx (* x (sin eps)) (*.f64 x (sin.f64 eps)))
#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))) (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 (* -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 (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 (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin 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 (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (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)) (* 1/6 (* eps (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 (+ (* -1/2 (cos x)) (* 1/6 (* eps (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 (cos x) (cos.f64 x))
#s(approx (* 1/6 (* eps (sin x))) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))
#s(approx (* eps (sin x)) (*.f64 eps (sin.f64 x)))
#s(approx (sin x) (sin.f64 x))
#s(approx (* -1 (* eps (sin x))) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x))))
#s(approx (- (+ (cos eps) (* -1 (* x (sin eps)))) 1) (*.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 eps) (/.f64 (cos.f64 eps) x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (cos eps) (* -1 (* x (sin eps)))) (*.f64 x (fma.f64 #s(literal -1 binary64) (sin.f64 eps) (/.f64 (cos.f64 eps) 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))) (sin x)) (-.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 (cos x)) (*.f64 eps (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 (- (+ (cos eps) (* -1 (* x (sin eps)))) 1) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sin.f64 eps) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x))))))
#s(approx (+ (cos eps) (* -1 (* x (sin eps)))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sin.f64 eps) (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 eps) 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 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (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)) (* 1/6 (* eps (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 (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))
#s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (- (cos eps) 1) (*.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) 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 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 (* x (sin eps)))) 1) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps))))
#s(approx (- (+ (cos eps) (* -1 (* x (sin eps)))) 1) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))))))
#s(approx (- (+ (cos eps) (* -1 (* x (sin eps)))) 1) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x))) #s(literal 1/2 binary64))))))
#s(approx (+ (cos eps) (* -1 (* x (sin eps)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 eps x))))
#s(approx (+ (cos eps) (* -1 (* x (sin eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (+ (cos eps) (* -1 (* x (sin eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
#s(approx (* -1 (* x (sin eps))) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
#s(approx (* -1 (* x (sin eps))) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))))))
#s(approx (* -1 (* x (sin eps))) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) x (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) x (*.f64 #s(literal 1/5040 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))))))
#s(approx (* x (sin eps)) (*.f64 eps (+.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
#s(approx (* x (sin eps)) (*.f64 eps (+.f64 x (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) x (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))))
#s(approx (* x (sin eps)) (*.f64 eps (+.f64 x (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) x (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 #s(literal 1/120 binary64) x))))))))
#s(approx (sin eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (sin eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin eps) (*.f64 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 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (sin.f64 x))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))))
#s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))
#s(approx (sin eps) (sin.f64 eps))
#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 (- (* -1/2 (* 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 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x)))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) eps))))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (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 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (*.f64 #s(literal -1/6 binary64) (sin.f64 x))))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (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)))))
#s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.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)))))
Calls

6 calls:

TimeVariablePoint
9.0ms
x
0
7.0ms
eps
-inf
6.0ms
eps
0
5.0ms
x
inf
4.0ms
x
-inf

rewrite458.0ms (3.9%)

Memory
44.8MiB live, 647.7MiB allocated; 187ms collecting garbage
Counts
31 → 493
Calls
Call 1
Inputs
#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))))
(*.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)))
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))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))
#s(literal -1/2 binary64)
(cos.f64 x)
x
(*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x)))
#s(literal 1/6 binary64)
(*.f64 eps (sin.f64 x))
(sin.f64 x)
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(cos.f64 eps)
#s(literal 1 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))
#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)))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64))
(+.f64 (cos.f64 eps) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps))))
(*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps)))
(*.f64 x (sin.f64 eps))
(sin.f64 eps)
#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 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))
(*.f64 eps (cos.f64 x))
Outputs
#s(approx (- (cos (+ eps x)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (*.f64 eps #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 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x)))) (sin.f64 x)))
(*.f64 (fma.f64 (fma.f64 (*.f64 eps (sin.f64 x)) #s(literal -1/6 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) eps (sin.f64 x)) (neg.f64 eps))
(*.f64 (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x)))) (sin.f64 x)) eps)
(*.f64 (neg.f64 eps) (fma.f64 (fma.f64 (*.f64 eps (sin.f64 x)) #s(literal -1/6 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) eps (sin.f64 x)))
(+.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x))) (*.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (neg.f64 eps) (sin.f64 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x))) (*.f64 eps eps)))
(+.f64 (*.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) eps) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x)) eps) (sin.f64 x)) eps))
(+.f64 (*.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) eps) (*.f64 eps (-.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x)) eps) (sin.f64 x))))
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x))) (*.f64 eps eps)) (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x))) (*.f64 eps eps)) (*.f64 (sin.f64 (neg.f64 x)) (neg.f64 eps)))
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x))) (*.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 (neg.f64 x))))
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x))) (*.f64 eps eps)) (*.f64 (*.f64 (neg.f64 eps) (sin.f64 x)) #s(literal -1 binary64)))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x))) (*.f64 eps eps) (*.f64 (neg.f64 eps) (sin.f64 x)))
(fma.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x)))) eps (*.f64 (neg.f64 eps) (sin.f64 x)))
(fma.f64 (*.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x))) (*.f64 (neg.f64 eps) (sin.f64 x)))
(fma.f64 eps (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x)))) (*.f64 (neg.f64 eps) (sin.f64 x)))
(fma.f64 (neg.f64 eps) (sin.f64 x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x))) (*.f64 eps eps)))
(fma.f64 (sin.f64 x) (neg.f64 eps) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x))) (*.f64 eps eps)))
(fma.f64 eps (sin.f64 (neg.f64 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x))) (*.f64 eps eps)))
(fma.f64 (sin.f64 (neg.f64 x)) eps (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x))) (*.f64 eps eps)))
(fma.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x))) (*.f64 eps eps)))
(fma.f64 (*.f64 eps (sin.f64 x)) #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x))) (*.f64 eps eps)))
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 eps) (sin.f64 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x))) (*.f64 eps eps)))
(fma.f64 (*.f64 (neg.f64 eps) (sin.f64 x)) #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x))) (*.f64 eps eps)))
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x)) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x)) eps) (sin.f64 x)) eps))
(fma.f64 (*.f64 eps (cos.f64 x)) (*.f64 eps #s(literal -1/2 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x)) eps) (sin.f64 x)) eps))
(fma.f64 (cos.f64 x) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) eps) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x)) eps) (sin.f64 x)) eps))
(fma.f64 (*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x)) eps) (sin.f64 x)) eps))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 eps (cos.f64 x)) eps) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x)) eps) (sin.f64 x)) eps))
(fma.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) #s(literal -1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x)) eps) (sin.f64 x)) eps))
(fma.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) eps (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x)) eps) (sin.f64 x)) eps))
(fma.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 eps eps) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x)) eps) (sin.f64 x)) eps))
(fma.f64 eps (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x)) eps) (sin.f64 x)) eps))
(fma.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x)) eps) (sin.f64 x)) eps))
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x)) (*.f64 eps (-.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x)) eps) (sin.f64 x))))
(fma.f64 (*.f64 eps (cos.f64 x)) (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps (-.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x)) eps) (sin.f64 x))))
(fma.f64 (cos.f64 x) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) eps) (*.f64 eps (-.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x)) eps) (sin.f64 x))))
(fma.f64 (*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x)) eps) (sin.f64 x))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 eps (cos.f64 x)) eps) (*.f64 eps (-.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x)) eps) (sin.f64 x))))
(fma.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) #s(literal -1/2 binary64) (*.f64 eps (-.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x)) eps) (sin.f64 x))))
(fma.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) eps (*.f64 eps (-.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x)) eps) (sin.f64 x))))
(fma.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 eps eps) (*.f64 eps (-.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x)) eps) (sin.f64 x))))
(fma.f64 eps (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (*.f64 eps (-.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x)) eps) (sin.f64 x))))
(fma.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 eps (-.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x)) eps) (sin.f64 x))))
(neg.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps (sin.f64 x)) #s(literal -1/6 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) eps (sin.f64 x)) eps))
eps
(*.f64 eps #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) eps)
(*.f64 (neg.f64 eps) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 eps))
(/.f64 (+.f64 eps eps) #s(literal 2 binary64))
(neg.f64 (neg.f64 eps))
(+.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x)))) (sin.f64 (neg.f64 x)))
(+.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x)) eps) (sin.f64 x)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)))
(+.f64 (-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x)) (*.f64 (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x)) eps))
(+.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x)) eps) (-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x)))
(+.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (-.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x)) eps) (sin.f64 x)))
(+.f64 (sin.f64 (neg.f64 x)) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x)))))
(-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x)))) (sin.f64 x))
(-.f64 (-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x)) (*.f64 (*.f64 (*.f64 eps #s(literal -1/6 binary64)) (sin.f64 x)) eps))
(-.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x)) eps) (fma.f64 (*.f64 eps #s(literal 1/2 binary64)) (cos.f64 x) (sin.f64 x)))
(-.f64 (sin.f64 (neg.f64 x)) (*.f64 (fma.f64 (*.f64 eps (sin.f64 x)) #s(literal -1/6 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) eps))
(-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (fma.f64 (*.f64 (*.f64 eps #s(literal -1/6 binary64)) (sin.f64 x)) eps (sin.f64 x)))
(-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x)) eps) (sin.f64 x))))
(-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (-.f64 (*.f64 (*.f64 (*.f64 eps #s(literal -1/6 binary64)) (sin.f64 x)) eps) (sin.f64 (neg.f64 x))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x))) eps (sin.f64 (neg.f64 x)))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x))) (sin.f64 (neg.f64 x)))
(fma.f64 (*.f64 (*.f64 eps eps) (sin.f64 x)) #s(literal 1/6 binary64) (-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x)))
(fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64) (-.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x)) eps) (sin.f64 x)))
(fma.f64 (sin.f64 x) #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x)))))
(fma.f64 (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x)) eps (-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x)))
(fma.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps (-.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x)) eps) (sin.f64 x)))
(fma.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps #s(literal 1/6 binary64)) (-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x)))
(fma.f64 (cos.f64 x) (*.f64 eps #s(literal -1/2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x)) eps) (sin.f64 x)))
(fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 eps eps) (-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x)))
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (-.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x)) eps) (sin.f64 x)))
(fma.f64 (*.f64 (*.f64 eps #s(literal 1/6 binary64)) eps) (sin.f64 x) (-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x)))
(fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x)))))
(fma.f64 eps (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x)) (-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 x) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) eps) (-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 eps eps) (sin.f64 x)) (-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)) (-.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x)) eps) (sin.f64 x)))
(fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x)) eps) (sin.f64 x)))
(fma.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x)))
(fma.f64 (*.f64 eps #s(literal 1/6 binary64)) (*.f64 eps (sin.f64 x)) (-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x)))
(neg.f64 (fma.f64 (fma.f64 (*.f64 eps (sin.f64 x)) #s(literal -1/6 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) eps (sin.f64 x)))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x))) eps)
(+.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x)) eps) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)))
(+.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (*.f64 (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x)) eps))
(-.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x)) eps) (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (cos.f64 x)))
(-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (*.f64 (*.f64 (*.f64 eps #s(literal -1/6 binary64)) (sin.f64 x)) eps))
(fma.f64 (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x)) eps (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)))
(fma.f64 (*.f64 (*.f64 eps #s(literal 1/6 binary64)) eps) (sin.f64 x) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)))
(fma.f64 (*.f64 (*.f64 eps eps) (sin.f64 x)) #s(literal 1/6 binary64) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)))
(fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 eps eps) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)))
(fma.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps #s(literal 1/6 binary64)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)))
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(*.f64 (cos.f64 x) (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))
(*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64))
(*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)
(*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (*.f64 eps #s(literal -1/2 binary64))) (*.f64 (*.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(+.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 0 binary64))) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64))))
(fma.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (*.f64 eps #s(literal -1/2 binary64)) (*.f64 (*.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 0 binary64)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64))))
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) eps) (*.f64 (*.f64 (cos.f64 x) #s(literal 1 binary64)) eps))
(+.f64 (*.f64 eps (*.f64 (sin.f64 x) #s(literal 0 binary64))) (*.f64 eps (*.f64 (cos.f64 x) #s(literal 1 binary64))))
(fma.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) eps (*.f64 (*.f64 (cos.f64 x) #s(literal 1 binary64)) eps))
(fma.f64 eps (*.f64 (sin.f64 x) #s(literal 0 binary64)) (*.f64 eps (*.f64 (cos.f64 x) #s(literal 1 binary64))))

eval89.0ms (0.8%)

Memory
-2.7MiB live, 185.7MiB allocated; 22ms collecting garbage
Compiler

Compiled 19 504 to 3 408 computations (82.5% saved)

prune46.0ms (0.4%)

Memory
-22.1MiB live, 123.2MiB allocated; 15ms collecting garbage
Pruning

25 alts after pruning (23 fresh and 2 done)

PrunedKeptTotal
New75621777
Fresh224
Picked415
Done011
Total76225787
Accuracy
100.0%
Counts
787 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.0%
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))
57.0%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
83.7%
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 x eps) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64)))))
99.3%
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 (neg.f64 x)) eps (*.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) eps)))
99.2%
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (*.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) eps) (*.f64 eps (sin.f64 x))))
56.1%
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (+ (cos eps) (* -1 (* x (sin eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps))))) #s(literal 1 binary64)))
55.7%
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (+ (cos eps) (* -1 (* x (sin eps)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 eps x)))) #s(literal 1 binary64)))
80.0%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (sin.f64 (neg.f64 x)) eps))
99.4%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))) (sin.f64 x))))
99.4%
#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) #s(approx (* eps (sin x)) (*.f64 eps x))))) (sin.f64 x))))
99.4%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(approx (* 1/6 (* eps (sin x))) (*.f64 x (fma.f64 #s(literal -1/36 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) eps)))))) (sin.f64 x))))
98.8%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) eps (*.f64 #s(literal 1/4 binary64) x))) #s(literal 1/2 binary64)))) (sin.f64 x))))
98.6%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64))) (sin.f64 x))))
14.3%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 (+.f64 (neg.f64 x) (PI.f64))))))
99.2%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
98.1%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/4 binary64) eps (*.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)))))))
98.0%
#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)))))))
97.7%
#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 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))))
97.7%
#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)))))
12.6%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))))))
79.3%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 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)))))))))
79.3%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))
97.7%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (+ (cos eps) (* -1 (* x (sin eps)))) 1) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
97.7%
#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))))))
79.3%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* -1 (* eps (sin x))) (*.f64 x (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
Compiler

Compiled 1 262 to 904 computations (28.4% saved)

series279.0ms (2.4%)

Memory
-20.6MiB live, 450.3MiB allocated; 172ms collecting garbage
Counts
39 → 149
Calls
Call 1
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))) (sin.f64 x))))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))) (sin.f64 x)))
eps
(-.f64 (*.f64 eps (fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))) (sin.f64 x))
(*.f64 eps (fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))
(*.f64 (sin.f64 x) #s(literal 1/6 binary64))
(sin.f64 x)
x
#s(literal 1/6 binary64)
(*.f64 (cos.f64 x) #s(literal -1/2 binary64))
(cos.f64 x)
#s(literal -1/2 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))
(*.f64 #s(literal -1 binary64) #s(approx (* eps (sin x)) (*.f64 eps x)))
#s(literal -1 binary64)
#s(approx (* eps (sin x)) (*.f64 eps x))
(*.f64 eps x)
#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)))))))
(*.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 (- (* -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)))))
(fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64))))
(*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 eps x))
#s(literal 1/4 binary64)
#s(literal 1 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (sin.f64 (neg.f64 x)) eps))
(*.f64 (sin.f64 (neg.f64 x)) eps)
(sin.f64 (neg.f64 x))
(neg.f64 x)
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
Outputs
#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 (* eps (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x))) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (* eps (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))))))
#s(approx (* eps (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))))))
#s(approx (* eps (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.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 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))))
#s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 eps x))) #s(literal 1 binary64)))))
#s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/4 binary64) eps (*.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 (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
#s(approx (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 eps x))))))
#s(approx (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (fma.f64 #s(literal -1/2 binary64) eps (*.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 #s(literal 1/4 binary64) eps)))))))
#s(approx (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2)) #s(literal -1/2 binary64))
#s(approx (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2)) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2)) (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) eps (*.f64 #s(literal 1/4 binary64) x))) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2)) (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) eps (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 eps x)))))) #s(literal 1/2 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 (sin x) x)
#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) -1/2) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (* (cos x) -1/2) (-.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 (* (cos x) -1/2) (-.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 (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 (* eps (sin x))) (*.f64 #s(literal -1 binary64) (*.f64 eps x)))
#s(approx (* -1 (* eps (sin x))) (*.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 (* -1 (* eps (sin x))) (*.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 (* -1 (* eps (sin x))) (*.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 (* eps (sin x)) (*.f64 eps x))
#s(approx (* eps (sin x)) (*.f64 x (+.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* eps (sin x)) (*.f64 x (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) eps (*.f64 #s(literal 1/120 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (* eps (sin x)) (*.f64 x (+.f64 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 -1/5040 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/120 binary64) eps))))))))
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#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))) (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)))))
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#s(approx (* x (- (* 1/4 (* eps x)) 1)) (*.f64 #s(literal -1 binary64) x))
#s(approx (* x (- (* 1/4 (* eps x)) 1)) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64))))
#s(approx (- (* 1/4 (* eps x)) 1) #s(literal -1 binary64))
#s(approx (- (* 1/4 (* eps x)) 1) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))
#s(approx (* 1/4 (* eps x)) (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)))
#s(approx (sin (neg x)) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (sin (neg 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))))
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#s(approx (- (cos (+ x eps)) (sin (+ x (/ (PI) 2)))) (-.f64 (+.f64 (cos.f64 eps) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 eps))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
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#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 (+ x eps) eps)
#s(approx (+ x eps) (+.f64 eps x))
#s(approx (sin (+ x (/ (PI) 2))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (sin (+ x (/ (PI) 2))) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (sin (+ x (/ (PI) 2))) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 x (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))
#s(approx (sin (+ x (/ (PI) 2))) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 x (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/6 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))))
#s(approx (+ x (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (+ x (/ (PI) 2)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))
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#s(approx (* eps (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin 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))))
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#s(approx (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (*.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 (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x)))))
#s(approx (* (sin x) 1/6) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (cos x) -1/2) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (* -1 (* eps (sin x))) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x))))
#s(approx (* eps (sin x)) (*.f64 eps (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))) (sin x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
#s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) eps)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* 1/4 (* eps x)) 1) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (sin (neg x)) eps) (*.f64 eps (sin.f64 (neg.f64 x))))
#s(approx (sin (neg x)) (sin.f64 (neg.f64 x)))
#s(approx (- (cos (+ x eps)) (sin (+ x (/ (PI) 2)))) (-.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (cos (+ x eps)) (cos.f64 (+.f64 eps x)))
#s(approx (+ x eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (sin (+ x (/ (PI) 2))) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ x (/ (PI) 2)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.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 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))) x) (*.f64 #s(literal 1/4 binary64) eps))))
#s(approx (- (* 1/4 (* eps x)) 1) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1/4 binary64) eps (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* (sin (neg x)) eps) (*.f64 eps (sin.f64 (*.f64 #s(literal -1 binary64) x))))
#s(approx (sin (neg x)) (sin.f64 (*.f64 #s(literal -1 binary64) x)))
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#s(approx (cos (+ x eps)) (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) 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 (sin (+ x (/ (PI) 2))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -1 binary64) x))))
#s(approx (+ x (/ (PI) 2)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) x)) #s(literal 1 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 (-.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 (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x))) (*.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))))))
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#s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))
#s(approx (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))))
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#s(approx (* x (- (* 1/4 (* eps x)) 1)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (cos (+ x eps)) (sin (+ x (/ (PI) 2)))) (-.f64 (cos.f64 x) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (- (cos (+ x eps)) (sin (+ x (/ (PI) 2)))) (-.f64 (+.f64 (cos.f64 x) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (- (cos (+ x eps)) (sin (+ x (/ (PI) 2)))) (-.f64 (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (- (cos (+ x eps)) (sin (+ x (/ (PI) 2)))) (-.f64 (+.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)))) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#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 (* eps (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x))) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (sin.f64 x))))
#s(approx (* eps (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x))) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))
#s(approx (* eps (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x))) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))))
#s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))))
#s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))
#s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))))
#s(approx (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))
#s(approx (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2)) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/6 binary64) (sin.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 (- (* -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 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 eps (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 eps (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x eps) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
#s(approx (* x (- (* 1/4 (* eps x)) 1)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 x eps) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (* 1/4 (* eps x)) 1) (*.f64 eps (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))))
#s(approx (+ x eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x)))
#s(approx (* eps (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) eps))))))
#s(approx (* eps (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (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 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (*.f64 #s(literal -1/6 binary64) (sin.f64 x))))))
#s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (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)))))
#s(approx (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2)) (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.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 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) (/.f64 x eps))))))
#s(approx (* x (- (* 1/4 (* eps x)) 1)) (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) (/.f64 x eps)))))
#s(approx (- (* 1/4 (* eps x)) 1) (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1/4 binary64) x (/.f64 #s(literal 1 binary64) eps)))))
#s(approx (- (cos (+ x eps)) (sin (+ x (/ (PI) 2)))) (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (cos (+ x eps)) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) 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)))))
Calls

6 calls:

TimeVariablePoint
12.0ms
eps
-inf
9.0ms
x
-inf
4.0ms
eps
inf
4.0ms
eps
0
4.0ms
x
inf

rewrite778.0ms (6.6%)

Memory
8.2MiB live, 469.4MiB allocated; 243ms collecting garbage
Counts
39 → 1 215
Calls
Call 1
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))) (sin.f64 x))))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))) (sin.f64 x)))
eps
(-.f64 (*.f64 eps (fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))) (sin.f64 x))
(*.f64 eps (fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))
(*.f64 (sin.f64 x) #s(literal 1/6 binary64))
(sin.f64 x)
x
#s(literal 1/6 binary64)
(*.f64 (cos.f64 x) #s(literal -1/2 binary64))
(cos.f64 x)
#s(literal -1/2 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))
(*.f64 #s(literal -1 binary64) #s(approx (* eps (sin x)) (*.f64 eps x)))
#s(literal -1 binary64)
#s(approx (* eps (sin x)) (*.f64 eps x))
(*.f64 eps x)
#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)))))))
(*.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 (- (* -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)))))
(fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64))))
(*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 eps x))
#s(literal 1/4 binary64)
#s(literal 1 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (sin.f64 (neg.f64 x)) eps))
(*.f64 (sin.f64 (neg.f64 x)) eps)
(sin.f64 (neg.f64 x))
(neg.f64 x)
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))) (sin.f64 x))))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))) (sin.f64 x)))
(*.f64 (-.f64 (*.f64 eps (fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))) (sin.f64 x)) eps)
(*.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 x) #s(literal -1/6 binary64)) eps (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) eps (sin.f64 x)) (neg.f64 eps))
(*.f64 (neg.f64 eps) (fma.f64 (fma.f64 (*.f64 (sin.f64 x) #s(literal -1/6 binary64)) eps (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) eps (sin.f64 x)))
(+.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 eps eps)) eps) (*.f64 (-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x)) eps))
(+.f64 (*.f64 eps (*.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 eps eps))) (*.f64 (-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x)) eps))
(+.f64 (*.f64 (neg.f64 eps) (sin.f64 x)) (*.f64 (fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps)))
(-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps)) (*.f64 (sin.f64 x) eps))
(-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps)) (*.f64 (*.f64 (neg.f64 eps) (sin.f64 x)) #s(literal -1 binary64)))
(-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps)) (*.f64 (sin.f64 (neg.f64 x)) (neg.f64 eps)))
(-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 (neg.f64 x))))
(fma.f64 (fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps) (*.f64 (neg.f64 eps) (sin.f64 x)))
(fma.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 eps eps)) eps (*.f64 (-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x)) eps))
(fma.f64 (*.f64 eps (fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))) eps (*.f64 (neg.f64 eps) (sin.f64 x)))
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) (*.f64 (neg.f64 eps) (sin.f64 x)))
(fma.f64 eps (*.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 eps eps)) (*.f64 (-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x)) eps))
(fma.f64 eps (*.f64 eps (fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))) (*.f64 (neg.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 (neg.f64 x)) eps (*.f64 (fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps)))
(fma.f64 eps (sin.f64 (neg.f64 x)) (*.f64 (fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps)))
(fma.f64 (neg.f64 eps) (sin.f64 x) (*.f64 (fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps)))
(fma.f64 (sin.f64 x) (neg.f64 eps) (*.f64 (fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps)))
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps)))
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 eps) (sin.f64 x)) (*.f64 (fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps)))
(fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1 binary64) (*.f64 (fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps)))
(fma.f64 (*.f64 (neg.f64 eps) (sin.f64 x)) #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps)))
(neg.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 x) #s(literal -1/6 binary64)) eps (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) eps (sin.f64 x)) eps))
eps
(*.f64 eps #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) eps)
(*.f64 (neg.f64 eps) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 eps))
(/.f64 (*.f64 #s(literal 2 binary64) eps) #s(literal 2 binary64))
(neg.f64 (neg.f64 eps))
(+.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 eps eps)) (-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x)))
(+.f64 (*.f64 eps (fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))) (sin.f64 (neg.f64 x)))
(+.f64 (fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 eps eps) (sin.f64 (neg.f64 x))) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)))
(+.f64 (-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x)) (*.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 eps eps)))
(+.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 eps eps) (sin.f64 (neg.f64 x))))
(+.f64 (sin.f64 (neg.f64 x)) (*.f64 eps (fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))))
(+.f64 (+.f64 (sin.f64 (neg.f64 x)) (*.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 eps eps))) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)))
(+.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (-.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 eps eps)) (sin.f64 x)))
(-.f64 (*.f64 eps (fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))) (sin.f64 x))
(-.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 eps eps)) (fma.f64 (*.f64 eps #s(literal 1/2 binary64)) (cos.f64 x) (sin.f64 x)))
(-.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 eps eps)) (-.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (cos.f64 x)) (sin.f64 (neg.f64 x))))
(-.f64 (sin.f64 (neg.f64 x)) (*.f64 (fma.f64 (*.f64 (sin.f64 x) #s(literal -1/6 binary64)) eps (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) eps))
(-.f64 (+.f64 (sin.f64 (neg.f64 x)) (*.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 eps eps))) (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (cos.f64 x)))
(-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (-.f64 (sin.f64 x) (*.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 eps eps))))
(fma.f64 (fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps (sin.f64 (neg.f64 x)))
(fma.f64 (*.f64 eps (*.f64 (sin.f64 x) eps)) #s(literal 1/6 binary64) (-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x)))
(fma.f64 (*.f64 (*.f64 (sin.f64 x) eps) eps) #s(literal 1/6 binary64) (-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x)))
(fma.f64 eps (fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) (sin.f64 (neg.f64 x)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) eps) (-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x)))
(fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 eps eps) (-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x)))
(fma.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x)))
(fma.f64 (*.f64 (sin.f64 x) eps) (*.f64 eps #s(literal 1/6 binary64)) (-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x)))
(fma.f64 (*.f64 (*.f64 eps eps) (sin.f64 x)) #s(literal 1/6 binary64) (-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x)))
(fma.f64 (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x)) eps (-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x)))
(fma.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps (fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 eps eps) (sin.f64 (neg.f64 x))))
(fma.f64 eps (*.f64 (*.f64 eps #s(literal 1/6 binary64)) (sin.f64 x)) (-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x)))
(fma.f64 (*.f64 eps #s(literal 1/6 binary64)) (*.f64 (sin.f64 x) eps) (-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x)))
(fma.f64 (cos.f64 x) (*.f64 eps #s(literal -1/2 binary64)) (fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 eps eps) (sin.f64 (neg.f64 x))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps) (fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 eps eps) (sin.f64 (neg.f64 x))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) (*.f64 eps eps)) (-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x)))
(fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 eps eps) (sin.f64 (neg.f64 x))))
(fma.f64 (*.f64 (*.f64 eps #s(literal 1/6 binary64)) eps) (sin.f64 x) (-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x)))
(fma.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) (sin.f64 x) (-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x)))
(fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 eps (fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 eps eps) (sin.f64 (neg.f64 x))))
(fma.f64 (sin.f64 x) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) eps) (-.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x)))
(fma.f64 (cos.f64 x) (*.f64 #s(literal 1 binary64) (*.f64 eps #s(literal -1/2 binary64))) (fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 eps eps) (sin.f64 (neg.f64 x))))
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 eps eps) (sin.f64 (neg.f64 x))))
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(fabs.f64 #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(/.f64 #s(literal 4 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 4 binary64) #s(literal 4 binary64)) #s(literal 4 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (PI.f64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)))) #s(literal 0 binary64))
(neg.f64 #s(literal -2 binary64))

eval193.0ms (1.6%)

Memory
31.0MiB live, 262.3MiB allocated; 42ms collecting garbage
Compiler

Compiled 37 858 to 6 999 computations (81.5% saved)

prune51.0ms (0.4%)

Memory
-11.5MiB live, 79.3MiB allocated; 14ms collecting garbage
Pruning

26 alts after pruning (22 fresh and 4 done)

PrunedKeptTotal
New1 338131 351
Fresh9918
Picked325
Done022
Total1 350261 376
Accuracy
100.0%
Counts
1 376 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.0%
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
57.0%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
99.8%
(*.f64 (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64)))) #s(literal -2 binary64))
99.3%
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 (neg.f64 x)) eps (*.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) eps)))
99.2%
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (*.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) eps) (*.f64 eps (sin.f64 x))))
56.1%
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (+ (cos eps) (* -1 (* x (sin eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps))))) #s(literal 1 binary64)))
55.7%
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (+ (cos eps) (* -1 (* x (sin eps)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 eps x)))) #s(literal 1 binary64)))
80.0%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (sin.f64 (neg.f64 x)) eps))
79.3%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (sin (neg x)) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))) eps))
99.4%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #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)))))) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))) (sin.f64 x))))
98.8%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps #s(approx (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2)) (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) eps (*.f64 #s(literal 1/4 binary64) x))) #s(literal 1/2 binary64)))) (sin.f64 x))))
98.6%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps #s(approx (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2)) #s(literal -1/2 binary64))) (sin.f64 x))))
14.3%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 (+.f64 (neg.f64 x) (PI.f64))))))
99.2%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
97.7%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* (cos x) (* -1/2 eps)) (sin x)) (fma.f64 (fma.f64 (*.f64 x #s(literal 1/4 binary64)) eps #s(literal -1 binary64)) x (*.f64 eps #s(literal -1/2 binary64))))))
98.1%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/4 binary64) eps (*.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)))))))
98.0%
#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)))))))
97.6%
#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 #s(approx (- (* 1/4 (* eps x)) 1) (*.f64 eps (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps)))))))))
97.7%
#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 #s(approx (- (* 1/4 (* eps x)) 1) #s(literal -1 binary64)))))))
97.5%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))) x) (*.f64 #s(literal 1/4 binary64) eps)))))))
79.3%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))))))
97.6%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 eps (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x eps) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))))
12.6%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))))))
79.3%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))
97.7%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (+ (cos eps) (* -1 (* x (sin eps)))) 1) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
97.7%
#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))))))
Compiler

Compiled 1 435 to 1 025 computations (28.6% saved)

series354.0ms (3%)

Memory
-2.0MiB live, 329.1MiB allocated; 63ms collecting garbage
Counts
57 → 203
Calls
Call 1
Inputs
(*.f64 (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64)))) #s(literal -2 binary64))
(*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))))
(sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(fma.f64 eps #s(literal 1/2 binary64) x)
eps
#s(literal 1/2 binary64)
x
(sin.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(literal -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 #s(approx (- (* 1/4 (* eps x)) 1) #s(literal -1 binary64)))))))
(*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x #s(approx (- (* 1/4 (* eps x)) 1) #s(literal -1 binary64))))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x #s(approx (- (* 1/4 (* eps x)) 1) #s(literal -1 binary64)))))
(fma.f64 #s(literal -1/2 binary64) eps (*.f64 x #s(approx (- (* 1/4 (* eps x)) 1) #s(literal -1 binary64))))
#s(literal -1/2 binary64)
(*.f64 x #s(approx (- (* 1/4 (* eps x)) 1) #s(literal -1 binary64)))
#s(approx (- (* 1/4 (* eps x)) 1) #s(literal -1 binary64))
#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 #s(approx (- (* 1/4 (* eps x)) 1) (*.f64 eps (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps)))))))))
(*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x #s(approx (- (* 1/4 (* eps x)) 1) (*.f64 eps (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))))))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x #s(approx (- (* 1/4 (* eps x)) 1) (*.f64 eps (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps)))))))
(fma.f64 #s(literal -1/2 binary64) eps (*.f64 x #s(approx (- (* 1/4 (* eps x)) 1) (*.f64 eps (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))))))
(*.f64 x #s(approx (- (* 1/4 (* eps x)) 1) (*.f64 eps (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps)))))
#s(approx (- (* 1/4 (* eps x)) 1) (*.f64 eps (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))))
(*.f64 eps (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))
(*.f64 #s(literal 1/4 binary64) x)
#s(literal 1/4 binary64)
(/.f64 #s(literal 1 binary64) eps)
#s(literal 1 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 eps (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x eps) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))))
(*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 eps (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x eps) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 eps (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x eps) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
#s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 eps (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x eps) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 eps (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x eps) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x eps) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 x eps) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 x eps)
(*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/4 binary64) eps (*.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)))))))
(*.f64 eps #s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/4 binary64) eps (*.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 (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/4 binary64) eps (*.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)))))
(fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/4 binary64) eps (*.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))))
(*.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/4 binary64) eps (*.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)))
(-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/4 binary64) eps (*.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))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/4 binary64) eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64))))))))
#s(literal 1/6 binary64)
(pow.f64 eps #s(literal 2 binary64))
(*.f64 x (fma.f64 #s(literal 1/4 binary64) eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
(fma.f64 #s(literal 1/4 binary64) eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/36 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)))))
(+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64)))
#s(literal -1/36 binary64)
Outputs
#s(approx (* (* (sin (+ (* eps 1/2) x)) (sin (+ (* eps 1/2) 0))) -2) (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
#s(approx (* (* (sin (+ (* eps 1/2) x)) (sin (+ (* eps 1/2) 0))) -2) (fma.f64 #s(literal -2 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))
#s(approx (* (* (sin (+ (* eps 1/2) x)) (sin (+ (* eps 1/2) 0))) -2) (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))
#s(approx (* (* (sin (+ (* eps 1/2) x)) (sin (+ (* eps 1/2) 0))) -2) (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))))))
#s(approx (* (sin (+ (* eps 1/2) x)) (sin (+ (* eps 1/2) 0))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
#s(approx (* (sin (+ (* eps 1/2) x)) (sin (+ (* eps 1/2) 0))) (fma.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
#s(approx (* (sin (+ (* eps 1/2) x)) (sin (+ (* eps 1/2) 0))) (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
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#s(approx (+ (* eps 1/2) x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 x)))
#s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))) x) (*.f64 #s(literal 1/4 binary64) eps))))
#s(approx (- (* 1/4 (* eps x)) 1) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1/4 binary64) eps (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (* 1/4 x) (/ 1 eps)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps x)) #s(literal 1/4 binary64)))))
#s(approx (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 eps x))))))
#s(approx (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 #s(literal 1/4 binary64) eps)) (/.f64 #s(literal 1 binary64) x)) x))))))
#s(approx (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))) x) (*.f64 #s(literal 1/4 binary64) eps)) x))))))
#s(approx (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) x) (*.f64 #s(literal -1/4 binary64) eps)) x) (*.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) eps (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) x) (*.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 eps x))))))
#s(approx (* (* (sin (+ (* eps 1/2) x)) (sin (+ (* eps 1/2) 0))) -2) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x))))
#s(approx (* (* (sin (+ (* eps 1/2) x)) (sin (+ (* eps 1/2) 0))) -2) (*.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))))))
#s(approx (* (* (sin (+ (* eps 1/2) x)) (sin (+ (* eps 1/2) 0))) -2) (*.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -2 binary64) (*.f64 eps (fma.f64 #s(literal -1/16 binary64) (sin.f64 x) (*.f64 #s(literal -1/48 binary64) (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))))
#s(approx (* (* (sin (+ (* eps 1/2) x)) (sin (+ (* eps 1/2) 0))) -2) (*.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 -2 binary64) (fma.f64 #s(literal -1/16 binary64) (sin.f64 x) (*.f64 #s(literal -1/48 binary64) (sin.f64 x))) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))))))))))
#s(approx (* (sin (+ (* eps 1/2) x)) (sin (+ (* eps 1/2) 0))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 x))))
#s(approx (* (sin (+ (* eps 1/2) x)) (sin (+ (* eps 1/2) 0))) (*.f64 eps (fma.f64 #s(literal 1/4 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
#s(approx (* (sin (+ (* eps 1/2) x)) (sin (+ (* eps 1/2) 0))) (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal 1/4 binary64) (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/16 binary64) (sin.f64 x) (*.f64 #s(literal -1/48 binary64) (sin.f64 x)))))))))
#s(approx (* (sin (+ (* eps 1/2) x)) (sin (+ (* eps 1/2) 0))) (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal 1/4 binary64) (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/16 binary64) (sin.f64 x) (fma.f64 #s(literal -1/48 binary64) (sin.f64 x) (*.f64 #s(literal -1/48 binary64) (*.f64 eps (cos.f64 x)))))))))))
#s(approx (sin (+ (* eps 1/2) x)) (sin.f64 x))
#s(approx (sin (+ (* eps 1/2) x)) (+.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 x)))))
#s(approx (sin (+ (* eps 1/2) x)) (+.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 (+ (* eps 1/2) x)) (+.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 eps eps)
#s(approx (sin (+ (* eps 1/2) 0)) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (sin (+ (* eps 1/2) 0)) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))))))
#s(approx (sin (+ (* eps 1/2) 0)) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3840 binary64) (*.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/48 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 (-.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 (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))
#s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (fma.f64 #s(literal -1 binary64) x (*.f64 eps (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (* x (- (* 1/4 (* eps x)) 1)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (* 1/4 x) (/ 1 eps)) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)) eps))
#s(approx (/ 1 eps) (/.f64 #s(literal 1 binary64) eps))
#s(approx (- (+ (* -1 (/ x eps)) (* 1/4 (pow x 2))) 1/2) (/.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 eps (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) eps))
#s(approx (+ (* -1 (/ x eps)) (* 1/4 (pow x 2))) (/.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))) eps))
#s(approx (* eps (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (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 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1))) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1))) (fma.f64 eps (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1))) (fma.f64 eps (-.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 2 binary64))))))) #s(literal 1/2 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)) (fma.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)) (fma.f64 eps (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 2 binary64))))))) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1) (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(approx (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1) (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 eps x))) #s(literal 1 binary64)))
#s(approx (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1) (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/4 binary64) x (*.f64 eps (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 2 binary64)))))))) #s(literal 1 binary64)))
#s(approx (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 eps x))))
#s(approx (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/4 binary64) x (*.f64 eps (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (pow eps 2) (pow.f64 eps #s(literal 2 binary64)))
#s(approx (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2)))))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps (fma.f64 #s(literal -1/36 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) x)))))
#s(approx (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))) (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)))
#s(approx (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))) (fma.f64 #s(literal 1/6 binary64) x (*.f64 eps (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 eps x))))))
#s(approx (* x (+ 1/6 (* -1/36 (pow eps 2)))) (fma.f64 #s(literal -1/36 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))
#s(approx (+ 1/6 (* -1/36 (pow eps 2))) #s(literal 1/6 binary64))
#s(approx (+ 1/6 (* -1/36 (pow eps 2))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (* -1/36 (pow eps 2)) (*.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (+ (* eps 1/2) x) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))
#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))))
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#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (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)))))
#s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 eps (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 eps (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x eps) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
#s(approx (* x (- (* 1/4 (* eps x)) 1)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 x eps) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (* 1/4 (* eps x)) 1) (*.f64 eps (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))))
#s(approx (- (+ (* -1 (/ x eps)) (* 1/4 (pow x 2))) 1/2) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (- (+ (* -1 (/ x eps)) (* 1/4 (pow x 2))) 1/2) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x eps) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (+ (* -1 (/ x eps)) (* 1/4 (pow x 2))) (fma.f64 #s(literal -1 binary64) (/.f64 x eps) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* eps (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x))) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (sin.f64 x))))
#s(approx (* eps (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x))) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))
#s(approx (* eps (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x))) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))))
#s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))))
#s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))
#s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))))
#s(approx (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps)))))
#s(approx (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) (fma.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 eps #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps)))))
#s(approx (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) (fma.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 x eps))))))
#s(approx (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 x eps))))) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 x eps)))))))
#s(approx (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2)))))) (*.f64 #s(literal -1/36 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2)))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 x eps)))))
#s(approx (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2)))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 x eps))))))
#s(approx (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))) (*.f64 #s(literal -1/36 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
#s(approx (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) eps)))))
#s(approx (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/36 binary64) x (fma.f64 #s(literal 1/6 binary64) (/.f64 x (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) eps))))))
#s(approx (* x (+ 1/6 (* -1/36 (pow eps 2)))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal 1/6 binary64) (/.f64 x (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (+ 1/6 (* -1/36 (pow eps 2))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1/36 binary64))))
#s(approx (* (* (sin (+ (* eps 1/2) x)) (sin (+ (* eps 1/2) 0))) -2) (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))))))
#s(approx (* (sin (+ (* eps 1/2) x)) (sin (+ (* eps 1/2) 0))) (*.f64 (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (sin (+ (* eps 1/2) x)) (sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))))
#s(approx (+ (* eps 1/2) x) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))))
#s(approx (sin (+ (* eps 1/2) 0)) (sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x)))
#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 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) (/.f64 x eps))))))
#s(approx (* x (- (* 1/4 (* eps x)) 1)) (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) (/.f64 x eps)))))
#s(approx (- (* 1/4 (* eps x)) 1) (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1/4 binary64) x (/.f64 #s(literal 1 binary64) eps)))))
#s(approx (* eps (- (+ (* -1 (/ x eps)) (* 1/4 (pow x 2))) 1/2)) (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (/.f64 x eps)))))
#s(approx (* eps (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) eps))))))
#s(approx (* eps (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (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 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (*.f64 #s(literal -1/6 binary64) (sin.f64 x))))))
#s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (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)))))
#s(approx (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) eps) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) eps) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) eps) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) eps) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) eps) (*.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 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) eps) (*.f64 #s(literal -1/4 binary64) x)) eps) (*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) x (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))) eps) (*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2)))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) x (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))) eps) (*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 x eps)) #s(literal 1/4 binary64)) eps) (*.f64 #s(literal -1/36 binary64) x))))
Calls

6 calls:

TimeVariablePoint
23.0ms
x
-inf
7.0ms
x
inf
6.0ms
eps
-inf
5.0ms
eps
inf
5.0ms
eps
0

rewrite1.1s (9.5%)

Memory
37.1MiB live, 1 122.8MiB allocated; 244ms collecting garbage
Counts
57 → 1 930
Calls
Call 1
Inputs
(*.f64 (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64)))) #s(literal -2 binary64))
(*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))))
(sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(fma.f64 eps #s(literal 1/2 binary64) x)
eps
#s(literal 1/2 binary64)
x
(sin.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64)))
(fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(literal -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 #s(approx (- (* 1/4 (* eps x)) 1) #s(literal -1 binary64)))))))
(*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x #s(approx (- (* 1/4 (* eps x)) 1) #s(literal -1 binary64))))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x #s(approx (- (* 1/4 (* eps x)) 1) #s(literal -1 binary64)))))
(fma.f64 #s(literal -1/2 binary64) eps (*.f64 x #s(approx (- (* 1/4 (* eps x)) 1) #s(literal -1 binary64))))
#s(literal -1/2 binary64)
(*.f64 x #s(approx (- (* 1/4 (* eps x)) 1) #s(literal -1 binary64)))
#s(approx (- (* 1/4 (* eps x)) 1) #s(literal -1 binary64))
#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 #s(approx (- (* 1/4 (* eps x)) 1) (*.f64 eps (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps)))))))))
(*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x #s(approx (- (* 1/4 (* eps x)) 1) (*.f64 eps (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))))))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x #s(approx (- (* 1/4 (* eps x)) 1) (*.f64 eps (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps)))))))
(fma.f64 #s(literal -1/2 binary64) eps (*.f64 x #s(approx (- (* 1/4 (* eps x)) 1) (*.f64 eps (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))))))
(*.f64 x #s(approx (- (* 1/4 (* eps x)) 1) (*.f64 eps (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps)))))
#s(approx (- (* 1/4 (* eps x)) 1) (*.f64 eps (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))))
(*.f64 eps (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))
(*.f64 #s(literal 1/4 binary64) x)
#s(literal 1/4 binary64)
(/.f64 #s(literal 1 binary64) eps)
#s(literal 1 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 eps (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x eps) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))))
(*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 eps (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x eps) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 eps (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x eps) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
#s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 eps (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x eps) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 eps (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x eps) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x eps) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 x eps) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 x eps)
(*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/4 binary64) eps (*.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)))))))
(*.f64 eps #s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/4 binary64) eps (*.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 (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/4 binary64) eps (*.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)))))
(fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/4 binary64) eps (*.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))))
(*.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/4 binary64) eps (*.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)))
(-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/4 binary64) eps (*.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))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/4 binary64) eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64))))))))
#s(literal 1/6 binary64)
(pow.f64 eps #s(literal 2 binary64))
(*.f64 x (fma.f64 #s(literal 1/4 binary64) eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
(fma.f64 #s(literal 1/4 binary64) eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/36 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)))))
(+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64)))
#s(literal -1/36 binary64)
Outputs
(*.f64 (*.f64 (-.f64 (cos.f64 x) (cos.f64 (fma.f64 eps #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) #s(literal -2 binary64))
(*.f64 (-.f64 (cos.f64 x) (cos.f64 (fma.f64 eps #s(literal 1 binary64) x))) #s(literal -1 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)) (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
(*.f64 (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal -2 binary64)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 (-.f64 (cos.f64 x) (cos.f64 (fma.f64 eps #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal -2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (-.f64 (cos.f64 x) (cos.f64 (fma.f64 eps #s(literal 1 binary64) x))) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal -2 binary64)))) (sin.f64 (*.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal 1/2 binary64)))) (sin.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal -2 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal -2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal 1/2 binary64))) (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (cos.f64 x) (cos.f64 (fma.f64 eps #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (cos.f64 (fma.f64 eps #s(literal 1 binary64) x)) (cos.f64 x)) #s(literal 2 binary64)))
(*.f64 (*.f64 (sin.f64 (/.f64 (+.f64 (fabs.f64 x) (+.f64 eps x)) #s(literal -2 binary64))) (sin.f64 (*.f64 (-.f64 (-.f64 (fabs.f64 x) x) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 (+.f64 eps x) (fabs.f64 x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 (fabs.f64 x) (+.f64 eps x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (+.f64 (fabs.f64 x) (+.f64 eps x)) #s(literal -2 binary64)))) (sin.f64 (*.f64 (-.f64 (-.f64 (fabs.f64 x) x) eps) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (-.f64 (+.f64 eps x) (fabs.f64 x)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 (fabs.f64 x) (+.f64 eps x)) #s(literal 1/2 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (/.f64 (+.f64 (fabs.f64 x) (+.f64 eps x)) #s(literal -2 binary64))) (sin.f64 (*.f64 (-.f64 (-.f64 (fabs.f64 x) x) eps) #s(literal 1/2 binary64)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 (-.f64 (+.f64 eps x) (fabs.f64 x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 (fabs.f64 x) (+.f64 eps x)) #s(literal 1/2 binary64)))))
(*.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)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 x (PI.f64)) (+.f64 eps x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 x (PI.f64)) (+.f64 eps x)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) (+.f64 (neg.f64 x) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 eps x) (+.f64 (neg.f64 x) (PI.f64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) (+.f64 x (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 eps x) (+.f64 x (PI.f64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 (-.f64 (-.f64 (fabs.f64 x) x) eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 (fabs.f64 x) (+.f64 eps x)) #s(literal 1/2 binary64)))))
(*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (sin.f64 (*.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal 1/2 binary64))) (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))))
(*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (+.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (fabs.f64 (+.f64 eps x)) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (-.f64 (fabs.f64 (+.f64 eps x)) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (-.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 x)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 x)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 (fabs.f64 (+.f64 eps x)) x) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (-.f64 (fabs.f64 (+.f64 eps x)) x) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (-.f64 (fabs.f64 (+.f64 eps x)) x) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 (fabs.f64 (+.f64 eps x)) x) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (+.f64 eps x)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (+.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (+.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (+.f64 eps x)) #s(literal 2 binary64)))))
(*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (+.f64 eps x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x) x) (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps)) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (+.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 eps x) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 x) (PI.f64)) (fabs.f64 (+.f64 eps x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 x) (PI.f64)) (fabs.f64 (+.f64 eps x))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 x) (PI.f64)) (-.f64 (neg.f64 x) eps)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 x) (PI.f64)) (-.f64 (neg.f64 x) eps)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 x) (PI.f64)) (+.f64 eps x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 x) (PI.f64)) (+.f64 eps x)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (fabs.f64 (+.f64 eps x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (neg.f64 x) (PI.f64)) (fabs.f64 (+.f64 eps x))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (-.f64 (neg.f64 x) eps)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (neg.f64 x) (PI.f64)) (-.f64 (neg.f64 x) eps)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 x (PI.f64)) (fabs.f64 (+.f64 eps x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 x (PI.f64)) (fabs.f64 (+.f64 eps x))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 x (PI.f64)) (-.f64 (neg.f64 x) eps)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 x (PI.f64)) (-.f64 (neg.f64 x) eps)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (fabs.f64 (+.f64 eps x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (fabs.f64 (+.f64 eps x))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (-.f64 (neg.f64 x) eps)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (-.f64 (neg.f64 x) eps)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (+.f64 (fabs.f64 x) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (fabs.f64 (+.f64 eps x)) (+.f64 (fabs.f64 x) (PI.f64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (+.f64 (neg.f64 x) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (fabs.f64 (+.f64 eps x)) (+.f64 (neg.f64 x) (PI.f64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (+.f64 x (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (fabs.f64 (+.f64 eps x)) (+.f64 x (PI.f64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (fabs.f64 (+.f64 eps x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) (+.f64 (fabs.f64 x) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 eps x) (+.f64 (fabs.f64 x) (PI.f64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (-.f64 (neg.f64 x) eps) (+.f64 (fabs.f64 x) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (-.f64 (neg.f64 x) eps) (+.f64 (fabs.f64 x) (PI.f64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (-.f64 (neg.f64 x) eps) (+.f64 (neg.f64 x) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (-.f64 (neg.f64 x) eps) (+.f64 (neg.f64 x) (PI.f64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (-.f64 (neg.f64 x) eps) (+.f64 x (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (-.f64 (neg.f64 x) eps) (+.f64 x (PI.f64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (-.f64 (neg.f64 x) eps) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (-.f64 (neg.f64 x) eps) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))) #s(literal 2 binary64)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 (-.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 x)) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (-.f64 (fabs.f64 x) (fabs.f64 (+.f64 eps x))) #s(literal 1/2 binary64)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 (+.f64 (fabs.f64 (+.f64 eps x)) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (-.f64 (fabs.f64 (+.f64 eps x)) x) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 (+.f64 (fabs.f64 (+.f64 eps x)) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (-.f64 x (fabs.f64 (+.f64 eps x))) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 (-.f64 (fabs.f64 (+.f64 eps x)) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (+.f64 (fabs.f64 (+.f64 eps x)) x) #s(literal -2 binary64)))))
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(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (+.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) x) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) x) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x))) #s(literal 2 binary64)))))
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(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (-.f64 (neg.f64 x) eps)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (neg.f64 x) (PI.f64)) (-.f64 (neg.f64 x) eps)) #s(literal 2 binary64)))) (*.f64 (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 0 binary64)) #s(literal -2 binary64)))
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(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (-.f64 (neg.f64 x) eps)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (neg.f64 x) (PI.f64)) (-.f64 (neg.f64 x) eps)) #s(literal 2 binary64)))) (*.f64 (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 x (PI.f64)) (fabs.f64 (+.f64 eps x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 x (PI.f64)) (fabs.f64 (+.f64 eps x))) #s(literal 2 binary64)))) (*.f64 (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 0 binary64)) #s(literal -2 binary64)))
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(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 x (PI.f64)) (fabs.f64 (+.f64 eps x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 x (PI.f64)) (fabs.f64 (+.f64 eps x))) #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 0 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 x (PI.f64)) (fabs.f64 (+.f64 eps x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 x (PI.f64)) (fabs.f64 (+.f64 eps x))) #s(literal 2 binary64)))) (*.f64 (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 x (PI.f64)) (-.f64 (neg.f64 x) eps)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 x (PI.f64)) (-.f64 (neg.f64 x) eps)) #s(literal 2 binary64)))) (*.f64 (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 0 binary64)) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 x (PI.f64)) (-.f64 (neg.f64 x) eps)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 x (PI.f64)) (-.f64 (neg.f64 x) eps)) #s(literal 2 binary64)))) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal -2 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 x (PI.f64)) (-.f64 (neg.f64 x) eps)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 x (PI.f64)) (-.f64 (neg.f64 x) eps)) #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 0 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 x (PI.f64)) (-.f64 (neg.f64 x) eps)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 x (PI.f64)) (-.f64 (neg.f64 x) eps)) #s(literal 2 binary64)))) (*.f64 (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal -2 binary64)) #s(literal 0 binary64)))
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(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (fabs.f64 (+.f64 eps x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (fabs.f64 (+.f64 eps x))) #s(literal 2 binary64)))) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal -2 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (fabs.f64 (+.f64 eps x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (fabs.f64 (+.f64 eps x))) #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 0 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (fabs.f64 (+.f64 eps x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (fabs.f64 (+.f64 eps x))) #s(literal 2 binary64)))) (*.f64 (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (-.f64 (neg.f64 x) eps)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (-.f64 (neg.f64 x) eps)) #s(literal 2 binary64)))) (*.f64 (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 0 binary64)) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (-.f64 (neg.f64 x) eps)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (-.f64 (neg.f64 x) eps)) #s(literal 2 binary64)))) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal -2 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (-.f64 (neg.f64 x) eps)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (-.f64 (neg.f64 x) eps)) #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 0 binary64))))
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(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (+.f64 (fabs.f64 x) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (fabs.f64 (+.f64 eps x)) (+.f64 (fabs.f64 x) (PI.f64))) #s(literal 2 binary64)))) (*.f64 (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 0 binary64)) #s(literal -2 binary64)))
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(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (+.f64 (neg.f64 x) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (fabs.f64 (+.f64 eps x)) (+.f64 (neg.f64 x) (PI.f64))) #s(literal 2 binary64)))) (*.f64 (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 0 binary64)) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (+.f64 (neg.f64 x) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (fabs.f64 (+.f64 eps x)) (+.f64 (neg.f64 x) (PI.f64))) #s(literal 2 binary64)))) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal -2 binary64))))
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(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (+.f64 (neg.f64 x) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (fabs.f64 (+.f64 eps x)) (+.f64 (neg.f64 x) (PI.f64))) #s(literal 2 binary64)))) (*.f64 (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (+.f64 x (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (fabs.f64 (+.f64 eps x)) (+.f64 x (PI.f64))) #s(literal 2 binary64)))) (*.f64 (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 0 binary64)) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (+.f64 x (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (fabs.f64 (+.f64 eps x)) (+.f64 x (PI.f64))) #s(literal 2 binary64)))) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal -2 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (+.f64 x (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (fabs.f64 (+.f64 eps x)) (+.f64 x (PI.f64))) #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 0 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (+.f64 x (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (fabs.f64 (+.f64 eps x)) (+.f64 x (PI.f64))) #s(literal 2 binary64)))) (*.f64 (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (fabs.f64 (+.f64 eps x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))) #s(literal 2 binary64)))) (*.f64 (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 0 binary64)) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (fabs.f64 (+.f64 eps x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))) #s(literal 2 binary64)))) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal -2 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (fabs.f64 (+.f64 eps x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))) #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 0 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (fabs.f64 (+.f64 eps x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))) #s(literal 2 binary64)))) (*.f64 (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) (+.f64 (fabs.f64 x) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 eps x) (+.f64 (fabs.f64 x) (PI.f64))) #s(literal 2 binary64)))) (*.f64 (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 0 binary64)) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) (+.f64 (fabs.f64 x) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 eps x) (+.f64 (fabs.f64 x) (PI.f64))) #s(literal 2 binary64)))) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal -2 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) (+.f64 (fabs.f64 x) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 eps x) (+.f64 (fabs.f64 x) (PI.f64))) #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 0 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) (+.f64 (fabs.f64 x) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 eps x) (+.f64 (fabs.f64 x) (PI.f64))) #s(literal 2 binary64)))) (*.f64 (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (-.f64 (neg.f64 x) eps) (+.f64 (fabs.f64 x) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (-.f64 (neg.f64 x) eps) (+.f64 (fabs.f64 x) (PI.f64))) #s(literal 2 binary64)))) (*.f64 (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 0 binary64)) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (-.f64 (neg.f64 x) eps) (+.f64 (fabs.f64 x) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (-.f64 (neg.f64 x) eps) (+.f64 (fabs.f64 x) (PI.f64))) #s(literal 2 binary64)))) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal -2 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (-.f64 (neg.f64 x) eps) (+.f64 (fabs.f64 x) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (-.f64 (neg.f64 x) eps) (+.f64 (fabs.f64 x) (PI.f64))) #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 0 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (-.f64 (neg.f64 x) eps) (+.f64 (fabs.f64 x) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (-.f64 (neg.f64 x) eps) (+.f64 (fabs.f64 x) (PI.f64))) #s(literal 2 binary64)))) (*.f64 (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (-.f64 (neg.f64 x) eps) (+.f64 (neg.f64 x) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (-.f64 (neg.f64 x) eps) (+.f64 (neg.f64 x) (PI.f64))) #s(literal 2 binary64)))) (*.f64 (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 0 binary64)) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (-.f64 (neg.f64 x) eps) (+.f64 (neg.f64 x) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (-.f64 (neg.f64 x) eps) (+.f64 (neg.f64 x) (PI.f64))) #s(literal 2 binary64)))) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal -2 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (-.f64 (neg.f64 x) eps) (+.f64 (neg.f64 x) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (-.f64 (neg.f64 x) eps) (+.f64 (neg.f64 x) (PI.f64))) #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 0 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (-.f64 (neg.f64 x) eps) (+.f64 (neg.f64 x) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (-.f64 (neg.f64 x) eps) (+.f64 (neg.f64 x) (PI.f64))) #s(literal 2 binary64)))) (*.f64 (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (-.f64 (neg.f64 x) eps) (+.f64 x (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (-.f64 (neg.f64 x) eps) (+.f64 x (PI.f64))) #s(literal 2 binary64)))) (*.f64 (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 0 binary64)) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (-.f64 (neg.f64 x) eps) (+.f64 x (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (-.f64 (neg.f64 x) eps) (+.f64 x (PI.f64))) #s(literal 2 binary64)))) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal -2 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (-.f64 (neg.f64 x) eps) (+.f64 x (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (-.f64 (neg.f64 x) eps) (+.f64 x (PI.f64))) #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 0 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (-.f64 (neg.f64 x) eps) (+.f64 x (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (-.f64 (neg.f64 x) eps) (+.f64 x (PI.f64))) #s(literal 2 binary64)))) (*.f64 (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal -2 binary64)) #s(literal 0 binary64)))
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(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (neg.f64 (fabs.f64 (+.f64 eps x)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (neg.f64 (fabs.f64 (+.f64 eps x)))) #s(literal 2 binary64)))) (*.f64 (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (+.f64 (fabs.f64 x) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (+.f64 (fabs.f64 x) (PI.f64))) #s(literal 2 binary64)))) (*.f64 (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 0 binary64)) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (+.f64 (fabs.f64 x) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (+.f64 (fabs.f64 x) (PI.f64))) #s(literal 2 binary64)))) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal -2 binary64))))
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(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (+.f64 (neg.f64 x) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (+.f64 (neg.f64 x) (PI.f64))) #s(literal 2 binary64)))) (*.f64 (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 0 binary64)) #s(literal -2 binary64)))
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(fma.f64 eps (*.f64 (*.f64 eps #s(literal -1/36 binary64)) x) (neg.f64 (*.f64 x #s(literal -1/6 binary64))))
(fma.f64 eps (*.f64 eps (*.f64 x #s(literal -1/36 binary64))) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 eps (*.f64 eps (*.f64 x #s(literal -1/36 binary64))) (neg.f64 (*.f64 x #s(literal -1/6 binary64))))
(fma.f64 (fabs.f64 eps) (*.f64 (fabs.f64 eps) (*.f64 x #s(literal -1/36 binary64))) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 (fabs.f64 eps) (*.f64 (fabs.f64 eps) (*.f64 x #s(literal -1/36 binary64))) (neg.f64 (*.f64 x #s(literal -1/6 binary64))))
(fma.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) (*.f64 x #s(literal -1/36 binary64))) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) (*.f64 x #s(literal -1/36 binary64))) (neg.f64 (*.f64 x #s(literal -1/6 binary64))))
(fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 eps #s(literal -1/36 binary64)) (*.f64 eps x)))
(fma.f64 #s(literal 1/6 binary64) x (*.f64 (*.f64 eps #s(literal -1/36 binary64)) (*.f64 eps x)))
(fma.f64 (*.f64 eps x) (*.f64 eps #s(literal -1/36 binary64)) (neg.f64 (*.f64 x #s(literal -1/6 binary64))))
(fma.f64 (*.f64 eps eps) (*.f64 x #s(literal -1/36 binary64)) (neg.f64 (*.f64 x #s(literal -1/6 binary64))))
(fma.f64 (*.f64 eps #s(literal -1/36 binary64)) (*.f64 eps x) (neg.f64 (*.f64 x #s(literal -1/6 binary64))))
(fma.f64 (*.f64 x #s(literal -1/36 binary64)) (*.f64 eps eps) (neg.f64 (*.f64 x #s(literal -1/6 binary64))))
(neg.f64 (*.f64 (fma.f64 (*.f64 eps #s(literal 1/36 binary64)) eps #s(literal -1/6 binary64)) x))
(+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 eps eps)))
(+.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 eps eps)) #s(literal 1/6 binary64))
(-.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 eps eps)) #s(literal -1/6 binary64))
(-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 eps #s(literal 1/36 binary64)) eps))
(fma.f64 (*.f64 eps #s(literal 1/36 binary64)) (neg.f64 eps) #s(literal 1/6 binary64))
(fma.f64 (*.f64 eps #s(literal -1/36 binary64)) eps #s(literal 1/6 binary64))
(fma.f64 (*.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64))
(fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64))
(fma.f64 eps (*.f64 eps #s(literal -1/36 binary64)) #s(literal 1/6 binary64))
(fma.f64 (neg.f64 (*.f64 eps eps)) #s(literal 1/36 binary64) #s(literal 1/6 binary64))
(fma.f64 (*.f64 #s(literal -1/36 binary64) (fabs.f64 eps)) (fabs.f64 eps) #s(literal 1/6 binary64))
(fma.f64 (*.f64 #s(literal -1/36 binary64) (neg.f64 eps)) (neg.f64 eps) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/36 binary64) (neg.f64 (*.f64 eps eps)) #s(literal 1/6 binary64))
(fma.f64 (fabs.f64 eps) (*.f64 (fabs.f64 eps) #s(literal -1/36 binary64)) #s(literal 1/6 binary64))
(fma.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) #s(literal -1/36 binary64)) #s(literal 1/6 binary64))
(neg.f64 (fma.f64 (*.f64 eps #s(literal 1/36 binary64)) eps #s(literal -1/6 binary64)))
(*.f64 #s(literal -1/36 binary64) (*.f64 eps eps))
(*.f64 (*.f64 eps #s(literal 1/36 binary64)) (neg.f64 eps))
(*.f64 (*.f64 eps #s(literal -1/36 binary64)) eps)
(*.f64 (*.f64 eps eps) #s(literal -1/36 binary64))
(*.f64 eps (*.f64 eps #s(literal -1/36 binary64)))
(*.f64 (neg.f64 (*.f64 eps eps)) #s(literal 1/36 binary64))
(*.f64 (*.f64 #s(literal -1/36 binary64) (fabs.f64 eps)) (fabs.f64 eps))
(*.f64 (*.f64 #s(literal -1/36 binary64) (neg.f64 eps)) (neg.f64 eps))
(*.f64 #s(literal 1/36 binary64) (neg.f64 (*.f64 eps eps)))
(*.f64 (fabs.f64 eps) (*.f64 (fabs.f64 eps) #s(literal -1/36 binary64)))
(*.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) #s(literal -1/36 binary64)))
(neg.f64 (*.f64 (*.f64 eps #s(literal 1/36 binary64)) eps))
#s(literal -1/36 binary64)
(neg.f64 #s(literal 1/36 binary64))

eval367.0ms (3.1%)

Memory
25.5MiB live, 386.4MiB allocated; 66ms collecting garbage
Compiler

Compiled 109 681 to 15 622 computations (85.8% saved)

prune77.0ms (0.7%)

Memory
8.8MiB live, 101.4MiB allocated; 6ms collecting garbage
Pruning

35 alts after pruning (31 fresh and 4 done)

PrunedKeptTotal
New2 617172 634
Fresh31417
Picked415
Done134
Total2 625352 660
Accuracy
100.0%
Counts
2 660 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
99.8%
(*.f64 (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(approx (sin (+ (* eps 1/2) 0)) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal -2 binary64))
14.7%
(*.f64 (*.f64 (neg.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)) x))) (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64)))) #s(literal -2 binary64))
99.3%
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 (neg.f64 x)) eps (*.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) eps)))
99.2%
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (*.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) eps) (*.f64 eps (sin.f64 x))))
56.1%
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (+ (cos eps) (* -1 (* x (sin eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps))))) #s(literal 1 binary64)))
55.7%
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (+ (cos eps) (* -1 (* x (sin eps)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 eps x)))) #s(literal 1 binary64)))
80.0%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (sin.f64 (neg.f64 x)) eps))
79.3%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (sin (neg x)) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))) eps))
98.8%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps #s(approx (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2)) (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) eps (*.f64 #s(literal 1/4 binary64) x))) #s(literal 1/2 binary64)))) (sin.f64 x))))
98.6%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps #s(approx (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2)) #s(literal -1/2 binary64))) (sin.f64 x))))
99.2%
#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 #s(approx (- (* (cos x) (* eps -1/2)) (sin x)) #s(approx (+ (* eps -1/2) (- (* x (* x (* eps 1/4))) x)) (*.f64 eps (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)))))))
97.7%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* (cos x) (* -1/2 eps)) (sin x)) (fma.f64 (fma.f64 (*.f64 x #s(literal 1/4 binary64)) eps #s(literal -1 binary64)) x (*.f64 eps #s(literal -1/2 binary64))))))
98.2%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal -1/36 binary64)) eps #s(literal 1/6 binary64)) x (*.f64 eps #s(literal 1/4 binary64))) x (fma.f64 (*.f64 eps #s(literal 1/6 binary64)) eps #s(literal -1 binary64))) x (*.f64 eps #s(literal -1/2 binary64))))))
98.2%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) eps)) (neg.f64 x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal 1/36 binary64)) eps #s(literal -1/6 binary64)) x (*.f64 eps #s(literal -1/4 binary64))) x) (neg.f64 x)))))))
98.1%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) (*.f64 #s(literal 1/4 binary64) x)) (fma.f64 (fma.f64 (*.f64 eps #s(literal -1/36 binary64)) eps #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1 binary64))))))))
98.1%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/4 binary64) eps (*.f64 x #s(approx (+ 1/6 (* -1/36 (pow eps 2))) #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))))))
97.9%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 #s(approx (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))))))
98.1%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (+.f64 (fma.f64 (*.f64 eps #s(literal 1/4 binary64)) x #s(literal -1 binary64)) (fma.f64 (fma.f64 (*.f64 eps #s(literal -1/36 binary64)) eps #s(literal 1/6 binary64)) (*.f64 x x) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) eps))))))))
59.0%
#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 (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(approx (- (* 1/4 (* eps x)) 1) #s(literal -1 binary64)))))))
59.0%
#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 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(approx (- (* 1/4 (* eps x)) 1) #s(literal -1 binary64)))))))
98.0%
#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)))))))
45.2%
#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 #s(approx (- (* 1/4 (* eps x)) 1) (*.f64 eps #s(approx (- (* 1/4 x) (/ 1 eps)) (*.f64 x (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps x))))))))))))
97.7%
#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 #s(approx (- (* 1/4 (* eps x)) 1) #s(literal -1 binary64)))))))
97.6%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x #s(literal -1/2 binary64)) eps (*.f64 (neg.f64 (/.f64 x eps)) eps))))))
97.5%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (fma.f64 (*.f64 eps x) (/.f64 #s(literal -1 binary64) eps) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x #s(literal -1/2 binary64)) eps))))))
97.6%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (fma.f64 eps #s(literal -1/2 binary64) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) eps))) eps))))))
97.5%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))) x) (*.f64 #s(literal 1/4 binary64) eps)))))))
79.3%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))))))
97.6%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 eps (-.f64 #s(approx (+ (* -1 (/ x eps)) (* 1/4 (pow x 2))) (*.f64 #s(literal -1 binary64) (/.f64 x eps))) #s(literal 1/2 binary64)))))))
12.6%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))))))
79.3%
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))
97.7%
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (+ (cos eps) (* -1 (* x (sin eps)))) 1) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
97.7%
#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))))))
Compiler

Compiled 1 268 to 871 computations (31.3% saved)

regimes537.0ms (4.5%)

Memory
-69.5MiB live, 248.5MiB allocated; 162ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
10 → 1
15 → 1
29 → 1
30 → 1
31 → 1
38 → 1
43 → 1
49 → 1
61 → 1
Calls
Call 1
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))
Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))
Call 2
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))
#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)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x #s(approx (- (* 1/4 (* eps x)) 1) #s(literal -1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (+ (cos eps) (* -1 (* x (sin eps)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 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 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 eps (-.f64 #s(approx (+ (* -1 (/ x eps)) (* 1/4 (pow x 2))) (*.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)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(approx (- (* 1/4 (* eps x)) 1) #s(literal -1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (+ (cos eps) (* -1 (* x (sin eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 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 (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(approx (- (* 1/4 (* eps x)) 1) #s(literal -1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* (cos x) (* -1/2 eps)) (sin x)) (fma.f64 (fma.f64 (*.f64 x #s(literal 1/4 binary64)) eps #s(literal -1 binary64)) x (*.f64 eps #s(literal -1/2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* (cos x) (* eps -1/2)) (sin x)) #s(approx (+ (* eps -1/2) (- (* x (* x (* eps 1/4))) x)) (*.f64 eps (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)))))))
Outputs
#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)))))
Call 3
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))
#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)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x #s(approx (- (* 1/4 (* eps x)) 1) #s(literal -1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (+ (cos eps) (* -1 (* x (sin eps)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 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 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 eps (-.f64 #s(approx (+ (* -1 (/ x eps)) (* 1/4 (pow x 2))) (*.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)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(approx (- (* 1/4 (* eps x)) 1) #s(literal -1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (+ (cos eps) (* -1 (* x (sin eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 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 (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(approx (- (* 1/4 (* eps x)) 1) #s(literal -1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* (cos x) (* -1/2 eps)) (sin x)) (fma.f64 (fma.f64 (*.f64 x #s(literal 1/4 binary64)) eps #s(literal -1 binary64)) x (*.f64 eps #s(literal -1/2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* (cos x) (* eps -1/2)) (sin x)) #s(approx (+ (* eps -1/2) (- (* x (* x (* eps 1/4))) x)) (*.f64 eps (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (+ (cos eps) (* -1 (* x (sin eps)))) 1) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps x)) #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 #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)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (fma.f64 eps #s(literal -1/2 binary64) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) eps))) eps))))))
#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 #s(approx (- (* 1/4 (* eps x)) 1) (*.f64 eps (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps)))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x #s(literal -1/2 binary64)) eps (*.f64 (neg.f64 (/.f64 x eps)) eps))))))
Outputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (+ (cos eps) (* -1 (* x (sin eps)))) 1) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
Call 4
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))
#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)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x #s(approx (- (* 1/4 (* eps x)) 1) #s(literal -1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (+ (cos eps) (* -1 (* x (sin eps)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 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 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 eps (-.f64 #s(approx (+ (* -1 (/ x eps)) (* 1/4 (pow x 2))) (*.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)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(approx (- (* 1/4 (* eps x)) 1) #s(literal -1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (+ (cos eps) (* -1 (* x (sin eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 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 (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(approx (- (* 1/4 (* eps x)) 1) #s(literal -1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* (cos x) (* -1/2 eps)) (sin x)) (fma.f64 (fma.f64 (*.f64 x #s(literal 1/4 binary64)) eps #s(literal -1 binary64)) x (*.f64 eps #s(literal -1/2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* (cos x) (* eps -1/2)) (sin x)) #s(approx (+ (* eps -1/2) (- (* x (* x (* eps 1/4))) x)) (*.f64 eps (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (+ (cos eps) (* -1 (* x (sin eps)))) 1) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps x)) #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 #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)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (fma.f64 eps #s(literal -1/2 binary64) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) eps))) eps))))))
#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 #s(approx (- (* 1/4 (* eps x)) 1) (*.f64 eps (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps)))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x #s(literal -1/2 binary64)) eps (*.f64 (neg.f64 (/.f64 x eps)) eps))))))
#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)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (fma.f64 (*.f64 eps x) (/.f64 #s(literal -1 binary64) eps) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x #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 -1/2 binary64) eps (*.f64 x #s(approx (- (* 1/4 (* eps x)) 1) (*.f64 eps #s(approx (- (* 1/4 x) (/ 1 eps)) (*.f64 x (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps x))))))))))))
#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 #s(approx (sin (neg x)) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* -1 (* eps (sin x))) (*.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 (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 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 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 #s(approx (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 eps (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x eps) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (sin.f64 (neg.f64 x)) eps))
(-.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))))
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(literal -1 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))
#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)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x #s(approx (- (* 1/4 (* eps x)) 1) #s(literal -1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (+ (cos eps) (* -1 (* x (sin eps)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 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 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 eps (-.f64 #s(approx (+ (* -1 (/ x eps)) (* 1/4 (pow x 2))) (*.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)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(approx (- (* 1/4 (* eps x)) 1) #s(literal -1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (+ (cos eps) (* -1 (* x (sin eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 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 (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(approx (- (* 1/4 (* eps x)) 1) #s(literal -1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* (cos x) (* -1/2 eps)) (sin x)) (fma.f64 (fma.f64 (*.f64 x #s(literal 1/4 binary64)) eps #s(literal -1 binary64)) x (*.f64 eps #s(literal -1/2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* (cos x) (* eps -1/2)) (sin x)) #s(approx (+ (* eps -1/2) (- (* x (* x (* eps 1/4))) x)) (*.f64 eps (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (+ (cos eps) (* -1 (* x (sin eps)))) 1) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps x)) #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 #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)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (fma.f64 eps #s(literal -1/2 binary64) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) eps))) eps))))))
#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 #s(approx (- (* 1/4 (* eps x)) 1) (*.f64 eps (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps)))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x #s(literal -1/2 binary64)) eps (*.f64 (neg.f64 (/.f64 x eps)) eps))))))
#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)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (fma.f64 (*.f64 eps x) (/.f64 #s(literal -1 binary64) eps) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x #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 -1/2 binary64) eps (*.f64 x #s(approx (- (* 1/4 (* eps x)) 1) (*.f64 eps #s(approx (- (* 1/4 x) (/ 1 eps)) (*.f64 x (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps x))))))))))))
#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 #s(approx (sin (neg x)) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* -1 (* eps (sin x))) (*.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 (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 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 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 #s(approx (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 eps (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x eps) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (sin.f64 (neg.f64 x)) eps))
(-.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 (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) (*.f64 #s(literal 1/4 binary64) x)) (fma.f64 (fma.f64 (*.f64 eps #s(literal -1/36 binary64)) eps #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1 binary64))))))))
Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) (*.f64 #s(literal 1/4 binary64) x)) (fma.f64 (fma.f64 (*.f64 eps #s(literal -1/36 binary64)) eps #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1 binary64))))))))
Call 6
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))
#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)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x #s(approx (- (* 1/4 (* eps x)) 1) #s(literal -1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (+ (cos eps) (* -1 (* x (sin eps)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 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 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 eps (-.f64 #s(approx (+ (* -1 (/ x eps)) (* 1/4 (pow x 2))) (*.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)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(approx (- (* 1/4 (* eps x)) 1) #s(literal -1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (+ (cos eps) (* -1 (* x (sin eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 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 (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(approx (- (* 1/4 (* eps x)) 1) #s(literal -1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* (cos x) (* -1/2 eps)) (sin x)) (fma.f64 (fma.f64 (*.f64 x #s(literal 1/4 binary64)) eps #s(literal -1 binary64)) x (*.f64 eps #s(literal -1/2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* (cos x) (* eps -1/2)) (sin x)) #s(approx (+ (* eps -1/2) (- (* x (* x (* eps 1/4))) x)) (*.f64 eps (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (+ (cos eps) (* -1 (* x (sin eps)))) 1) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps x)) #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 #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)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (fma.f64 eps #s(literal -1/2 binary64) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) eps))) eps))))))
#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 #s(approx (- (* 1/4 (* eps x)) 1) (*.f64 eps (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps)))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x #s(literal -1/2 binary64)) eps (*.f64 (neg.f64 (/.f64 x eps)) eps))))))
#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)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (fma.f64 (*.f64 eps x) (/.f64 #s(literal -1 binary64) eps) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x #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 -1/2 binary64) eps (*.f64 x #s(approx (- (* 1/4 (* eps x)) 1) (*.f64 eps #s(approx (- (* 1/4 x) (/ 1 eps)) (*.f64 x (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps x))))))))))))
#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 #s(approx (sin (neg x)) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* -1 (* eps (sin x))) (*.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 (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 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 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 #s(approx (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 eps (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x eps) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (sin.f64 (neg.f64 x)) eps))
(-.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 (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) (*.f64 #s(literal 1/4 binary64) x)) (fma.f64 (fma.f64 (*.f64 eps #s(literal -1/36 binary64)) eps #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1 binary64))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal -1/36 binary64)) eps #s(literal 1/6 binary64)) x (*.f64 eps #s(literal 1/4 binary64))) x (fma.f64 (*.f64 eps #s(literal 1/6 binary64)) eps #s(literal -1 binary64))) x (*.f64 eps #s(literal -1/2 binary64))))))
Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal -1/36 binary64)) eps #s(literal 1/6 binary64)) x (*.f64 eps #s(literal 1/4 binary64))) x (fma.f64 (*.f64 eps #s(literal 1/6 binary64)) eps #s(literal -1 binary64))) x (*.f64 eps #s(literal -1/2 binary64))))))
Call 7
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))
#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)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x #s(approx (- (* 1/4 (* eps x)) 1) #s(literal -1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (+ (cos eps) (* -1 (* x (sin eps)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 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 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 eps (-.f64 #s(approx (+ (* -1 (/ x eps)) (* 1/4 (pow x 2))) (*.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)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(approx (- (* 1/4 (* eps x)) 1) #s(literal -1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (+ (cos eps) (* -1 (* x (sin eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 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 (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(approx (- (* 1/4 (* eps x)) 1) #s(literal -1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* (cos x) (* -1/2 eps)) (sin x)) (fma.f64 (fma.f64 (*.f64 x #s(literal 1/4 binary64)) eps #s(literal -1 binary64)) x (*.f64 eps #s(literal -1/2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* (cos x) (* eps -1/2)) (sin x)) #s(approx (+ (* eps -1/2) (- (* x (* x (* eps 1/4))) x)) (*.f64 eps (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (+ (cos eps) (* -1 (* x (sin eps)))) 1) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps x)) #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 #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)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (fma.f64 eps #s(literal -1/2 binary64) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) eps))) eps))))))
#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 #s(approx (- (* 1/4 (* eps x)) 1) (*.f64 eps (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps)))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x #s(literal -1/2 binary64)) eps (*.f64 (neg.f64 (/.f64 x eps)) eps))))))
#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)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (fma.f64 (*.f64 eps x) (/.f64 #s(literal -1 binary64) eps) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x #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 -1/2 binary64) eps (*.f64 x #s(approx (- (* 1/4 (* eps x)) 1) (*.f64 eps #s(approx (- (* 1/4 x) (/ 1 eps)) (*.f64 x (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps x))))))))))))
#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 #s(approx (sin (neg x)) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* -1 (* eps (sin x))) (*.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 (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 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 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 #s(approx (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 eps (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x eps) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (sin.f64 (neg.f64 x)) eps))
(-.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 (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) (*.f64 #s(literal 1/4 binary64) x)) (fma.f64 (fma.f64 (*.f64 eps #s(literal -1/36 binary64)) eps #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1 binary64))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal -1/36 binary64)) eps #s(literal 1/6 binary64)) x (*.f64 eps #s(literal 1/4 binary64))) x (fma.f64 (*.f64 eps #s(literal 1/6 binary64)) eps #s(literal -1 binary64))) x (*.f64 eps #s(literal -1/2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps #s(approx (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2)) #s(literal -1/2 binary64))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))) x) (*.f64 #s(literal 1/4 binary64) eps)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (+.f64 (fma.f64 (*.f64 eps #s(literal 1/4 binary64)) x #s(literal -1 binary64)) (fma.f64 (fma.f64 (*.f64 eps #s(literal -1/36 binary64)) eps #s(literal 1/6 binary64)) (*.f64 x x) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) eps))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) eps)) (neg.f64 x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal 1/36 binary64)) eps #s(literal -1/6 binary64)) x (*.f64 eps #s(literal -1/4 binary64))) x) (neg.f64 x)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/4 binary64) eps (*.f64 x #s(approx (+ 1/6 (* -1/36 (pow eps 2))) #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))))))
Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64))) (sin.f64 x))))
Call 8
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))
#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)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x #s(approx (- (* 1/4 (* eps x)) 1) #s(literal -1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (+ (cos eps) (* -1 (* x (sin eps)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 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 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 eps (-.f64 #s(approx (+ (* -1 (/ x eps)) (* 1/4 (pow x 2))) (*.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)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(approx (- (* 1/4 (* eps x)) 1) #s(literal -1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (+ (cos eps) (* -1 (* x (sin eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 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 (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(approx (- (* 1/4 (* eps x)) 1) #s(literal -1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* (cos x) (* -1/2 eps)) (sin x)) (fma.f64 (fma.f64 (*.f64 x #s(literal 1/4 binary64)) eps #s(literal -1 binary64)) x (*.f64 eps #s(literal -1/2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* (cos x) (* eps -1/2)) (sin x)) #s(approx (+ (* eps -1/2) (- (* x (* x (* eps 1/4))) x)) (*.f64 eps (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (+ (cos eps) (* -1 (* x (sin eps)))) 1) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps x)) #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 #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)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (fma.f64 eps #s(literal -1/2 binary64) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) eps))) eps))))))
#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 #s(approx (- (* 1/4 (* eps x)) 1) (*.f64 eps (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps)))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x #s(literal -1/2 binary64)) eps (*.f64 (neg.f64 (/.f64 x eps)) eps))))))
#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)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (fma.f64 (*.f64 eps x) (/.f64 #s(literal -1 binary64) eps) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x #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 -1/2 binary64) eps (*.f64 x #s(approx (- (* 1/4 (* eps x)) 1) (*.f64 eps #s(approx (- (* 1/4 x) (/ 1 eps)) (*.f64 x (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps x))))))))))))
#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 #s(approx (sin (neg x)) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* -1 (* eps (sin x))) (*.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 (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 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 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 #s(approx (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 eps (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x eps) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (sin.f64 (neg.f64 x)) eps))
(-.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 (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) (*.f64 #s(literal 1/4 binary64) x)) (fma.f64 (fma.f64 (*.f64 eps #s(literal -1/36 binary64)) eps #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1 binary64))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal -1/36 binary64)) eps #s(literal 1/6 binary64)) x (*.f64 eps #s(literal 1/4 binary64))) x (fma.f64 (*.f64 eps #s(literal 1/6 binary64)) eps #s(literal -1 binary64))) x (*.f64 eps #s(literal -1/2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps #s(approx (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2)) #s(literal -1/2 binary64))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))) x) (*.f64 #s(literal 1/4 binary64) eps)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (+.f64 (fma.f64 (*.f64 eps #s(literal 1/4 binary64)) x #s(literal -1 binary64)) (fma.f64 (fma.f64 (*.f64 eps #s(literal -1/36 binary64)) eps #s(literal 1/6 binary64)) (*.f64 x x) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) eps))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) eps)) (neg.f64 x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal 1/36 binary64)) eps #s(literal -1/6 binary64)) x (*.f64 eps #s(literal -1/4 binary64))) x) (neg.f64 x)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/4 binary64) eps (*.f64 x #s(approx (+ 1/6 (* -1/36 (pow eps 2))) #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) eps (*.f64 #s(literal 1/4 binary64) x))) #s(literal 1/2 binary64)))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps #s(approx (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2)) (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) eps (*.f64 #s(literal 1/4 binary64) x))) #s(literal 1/2 binary64)))) (sin.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 #s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/4 binary64) eps (*.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 eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/4 binary64) eps (*.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)))))))
Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) eps (*.f64 #s(literal 1/4 binary64) x))) #s(literal 1/2 binary64)))) (sin.f64 x))))
Call 9
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))
#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)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x #s(approx (- (* 1/4 (* eps x)) 1) #s(literal -1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (+ (cos eps) (* -1 (* x (sin eps)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 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 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 eps (-.f64 #s(approx (+ (* -1 (/ x eps)) (* 1/4 (pow x 2))) (*.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)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(approx (- (* 1/4 (* eps x)) 1) #s(literal -1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (+ (cos eps) (* -1 (* x (sin eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 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 (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(approx (- (* 1/4 (* eps x)) 1) #s(literal -1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* (cos x) (* -1/2 eps)) (sin x)) (fma.f64 (fma.f64 (*.f64 x #s(literal 1/4 binary64)) eps #s(literal -1 binary64)) x (*.f64 eps #s(literal -1/2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* (cos x) (* eps -1/2)) (sin x)) #s(approx (+ (* eps -1/2) (- (* x (* x (* eps 1/4))) x)) (*.f64 eps (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (+ (cos eps) (* -1 (* x (sin eps)))) 1) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps x)) #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 #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)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (fma.f64 eps #s(literal -1/2 binary64) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) eps))) eps))))))
#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 #s(approx (- (* 1/4 (* eps x)) 1) (*.f64 eps (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps)))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x #s(literal -1/2 binary64)) eps (*.f64 (neg.f64 (/.f64 x eps)) eps))))))
#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)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (fma.f64 (*.f64 eps x) (/.f64 #s(literal -1 binary64) eps) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x #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 -1/2 binary64) eps (*.f64 x #s(approx (- (* 1/4 (* eps x)) 1) (*.f64 eps #s(approx (- (* 1/4 x) (/ 1 eps)) (*.f64 x (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps x))))))))))))
#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 #s(approx (sin (neg x)) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* -1 (* eps (sin x))) (*.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 (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 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 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 #s(approx (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 eps (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x eps) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (sin.f64 (neg.f64 x)) eps))
(-.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 (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) (*.f64 #s(literal 1/4 binary64) x)) (fma.f64 (fma.f64 (*.f64 eps #s(literal -1/36 binary64)) eps #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1 binary64))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal -1/36 binary64)) eps #s(literal 1/6 binary64)) x (*.f64 eps #s(literal 1/4 binary64))) x (fma.f64 (*.f64 eps #s(literal 1/6 binary64)) eps #s(literal -1 binary64))) x (*.f64 eps #s(literal -1/2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps #s(approx (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2)) #s(literal -1/2 binary64))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))) x) (*.f64 #s(literal 1/4 binary64) eps)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (+.f64 (fma.f64 (*.f64 eps #s(literal 1/4 binary64)) x #s(literal -1 binary64)) (fma.f64 (fma.f64 (*.f64 eps #s(literal -1/36 binary64)) eps #s(literal 1/6 binary64)) (*.f64 x x) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) eps))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) eps)) (neg.f64 x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal 1/36 binary64)) eps #s(literal -1/6 binary64)) x (*.f64 eps #s(literal -1/4 binary64))) x) (neg.f64 x)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/4 binary64) eps (*.f64 x #s(approx (+ 1/6 (* -1/36 (pow eps 2))) #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) eps (*.f64 #s(literal 1/4 binary64) x))) #s(literal 1/2 binary64)))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps #s(approx (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2)) (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) eps (*.f64 #s(literal 1/4 binary64) x))) #s(literal 1/2 binary64)))) (sin.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 #s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/4 binary64) eps (*.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 eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/4 binary64) eps (*.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)))))))
(*.f64 (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(approx (sin (+ (* eps 1/2) 0)) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal -2 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
#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)))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
Outputs
(*.f64 (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(approx (sin (+ (* eps 1/2) 0)) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal -2 binary64))
Call 10
Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))
#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)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x #s(approx (- (* 1/4 (* eps x)) 1) #s(literal -1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (+ (cos eps) (* -1 (* x (sin eps)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 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 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 eps (-.f64 #s(approx (+ (* -1 (/ x eps)) (* 1/4 (pow x 2))) (*.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)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(approx (- (* 1/4 (* eps x)) 1) #s(literal -1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (+ (cos eps) (* -1 (* x (sin eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 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 (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(approx (- (* 1/4 (* eps x)) 1) #s(literal -1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* (cos x) (* -1/2 eps)) (sin x)) (fma.f64 (fma.f64 (*.f64 x #s(literal 1/4 binary64)) eps #s(literal -1 binary64)) x (*.f64 eps #s(literal -1/2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* (cos x) (* eps -1/2)) (sin x)) #s(approx (+ (* eps -1/2) (- (* x (* x (* eps 1/4))) x)) (*.f64 eps (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (+ (cos eps) (* -1 (* x (sin eps)))) 1) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps x)) #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 #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)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (fma.f64 eps #s(literal -1/2 binary64) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) eps))) eps))))))
#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 #s(approx (- (* 1/4 (* eps x)) 1) (*.f64 eps (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps)))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x #s(literal -1/2 binary64)) eps (*.f64 (neg.f64 (/.f64 x eps)) eps))))))
#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)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (fma.f64 (*.f64 eps x) (/.f64 #s(literal -1 binary64) eps) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x #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 -1/2 binary64) eps (*.f64 x #s(approx (- (* 1/4 (* eps x)) 1) (*.f64 eps #s(approx (- (* 1/4 x) (/ 1 eps)) (*.f64 x (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps x))))))))))))
#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 #s(approx (sin (neg x)) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* -1 (* eps (sin x))) (*.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 (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 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 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 #s(approx (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 eps (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x eps) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (sin.f64 (neg.f64 x)) eps))
(-.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 (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) (*.f64 #s(literal 1/4 binary64) x)) (fma.f64 (fma.f64 (*.f64 eps #s(literal -1/36 binary64)) eps #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1 binary64))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal -1/36 binary64)) eps #s(literal 1/6 binary64)) x (*.f64 eps #s(literal 1/4 binary64))) x (fma.f64 (*.f64 eps #s(literal 1/6 binary64)) eps #s(literal -1 binary64))) x (*.f64 eps #s(literal -1/2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps #s(approx (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2)) #s(literal -1/2 binary64))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))) x) (*.f64 #s(literal 1/4 binary64) eps)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (+.f64 (fma.f64 (*.f64 eps #s(literal 1/4 binary64)) x #s(literal -1 binary64)) (fma.f64 (fma.f64 (*.f64 eps #s(literal -1/36 binary64)) eps #s(literal 1/6 binary64)) (*.f64 x x) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) eps))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) eps)) (neg.f64 x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal 1/36 binary64)) eps #s(literal -1/6 binary64)) x (*.f64 eps #s(literal -1/4 binary64))) x) (neg.f64 x)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/4 binary64) eps (*.f64 x #s(approx (+ 1/6 (* -1/36 (pow eps 2))) #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) eps (*.f64 #s(literal 1/4 binary64) x))) #s(literal 1/2 binary64)))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps #s(approx (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2)) (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) eps (*.f64 #s(literal 1/4 binary64) x))) #s(literal 1/2 binary64)))) (sin.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 #s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/4 binary64) eps (*.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 eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* (* (sin x) 1/6) eps) (* (cos x) -1/2))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/4 binary64) eps (*.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)))))))
(*.f64 (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(approx (sin (+ (* eps 1/2) 0)) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal -2 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
#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)))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))
#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 (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (*.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) eps) (*.f64 eps (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 (neg.f64 x)) eps (*.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 (+.f64 (neg.f64 x) (PI.f64))))))
(*.f64 (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 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) #s(approx (* eps (sin x)) (*.f64 eps x))))) (sin.f64 x))))
(*.f64 (*.f64 (neg.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)) x))) (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64)))) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 x eps) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #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)))))) eps (*.f64 (cos.f64 x) #s(literal -1/2 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) #s(approx (* 1/6 (* eps (sin x))) (*.f64 x (fma.f64 #s(literal -1/36 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) eps)))))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (*.f64 (cos.f64 x) #s(literal -1/2 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))))
Outputs
(*.f64 (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
Calls

30 calls:

200.0ms
x
22.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
15.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
14.0ms
eps
14.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
79.3%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
79.3%1x
79.3%1eps
97.7%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
97.7%1x
97.7%1eps
97.7%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
97.7%1x
97.7%1eps
98.0%1x
98.0%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
98.0%1eps
98.1%1x
98.1%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
98.1%1eps
98.2%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
98.2%1x
98.2%1eps
98.6%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
98.6%1x
98.6%1eps
98.8%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
98.8%1x
98.8%1eps
99.8%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
99.8%1x
99.8%1eps
99.8%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
99.8%1x
99.8%1eps
Compiler

Compiled 2 031 to 590 computations (71% saved)

derivations3.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated; 0ms collecting garbage
Stop Event
fuel
Compiler

Compiled 316 to 119 computations (62.3% saved)

preprocess108.0ms (0.9%)

Memory
28.8MiB live, 121.1MiB allocated; 11ms collecting garbage
Compiler

Compiled 353 to 150 computations (57.5% saved)

end0.0ms (0%)

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

Profiling

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