Metrics for 2cos (problem 3.3.5)

start0.0ms (0.0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze47.0ms (0.6%)

Memory

-19.4MiB live, 66.0MiB allocated; 25ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	50.6%	49.4%	0.0%	0.0%	0.0%	0
0.0%	0.0%	50.6%	49.4%	0.0%	0.0%	0.0%	1
0.0%	0.0%	50.6%	49.4%	0.0%	0.0%	0.0%	2
0.0%	0.0%	25.3%	49.4%	0.0%	25.3%	0.0%	3
0.0%	0.0%	25.3%	49.4%	0.0%	25.3%	0.0%	4
0.0%	0.0%	19.0%	49.4%	0.0%	31.6%	0.0%	5
0.0%	0.0%	15.8%	49.4%	0.0%	34.8%	0.0%	6
0.0%	0.0%	11.1%	49.4%	0.0%	39.5%	0.0%	7
0.0%	0.0%	8.7%	49.4%	0.0%	41.9%	0.0%	8
0.0%	0.0%	5.9%	49.4%	0.0%	44.6%	0.0%	9
0.0%	0.0%	4.5%	49.4%	0.0%	46.0%	0.0%	10
0.0%	0.0%	3.1%	49.4%	0.0%	47.5%	0.0%	11
0.0%	0.0%	2.7%	49.4%	0.0%	47.9%	0.0%	12

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample6.5s (77.6%)

Memory

120.8MiB live, 8 081.7MiB allocated; 2.9s collecting garbage

Samples

2.6s	5 844×	2	valid
2.0s	25 674×	0	invalid
353.0ms	2 369×	1	valid
14.0ms	43×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.7s

ival-cos: 2.3s (62.3% of total)

adjust: 450.0ms (12.2% of total)

ival-fabs: 292.0ms (7.9% of total)

ival-mult!: 161.0ms (4.4% of total)

ival-sub!: 144.0ms (3.9% of total)

ival-<: 135.0ms (3.7% of total)

ival-add!: 134.0ms (3.6% of total)

ival-and: 62.0ms (1.7% of total)

ival-assert: 14.0ms (0.4% of total)

Bogosity

preprocess30.0ms (0.4%)

Memory

16.3MiB live, 61.4MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	46
1	143	42
2	1851	42

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.8%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs

Outputs

series18.0ms (0.2%)

Memory

-10.0MiB live, 35.0MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	506

Stop Event

1×	iter-limit

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:

Time	Variable	Point
4.0ms	eps	0
2.0ms	eps	inf
1.0ms	x	0
1.0ms	eps	-inf
1.0ms	x	-inf

rewrite264.0ms (3.1%)

Memory

26.6MiB live, 233.1MiB allocated; 158ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	79	18
2	528	18
0	4119	18

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

6 → 230

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 (+.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x)))) (neg.f64 (cos.f64 x)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (neg.f64 (cos.f64 x))) (.f64 (cos.f64 eps) (cos.f64 x)))) (.f64 (cos.f64 eps) (cos.f64 x)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x)))) (*.f64 (cos.f64 eps) (cos.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 (cos.f64 x))) (cos.f64 (+.f64 eps x)))) (cos.f64 (+.f64 eps x)))
(.f64 (.f64 #s(literal -2 binary64) (sin.f64 (.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x)))) (cos.f64 (+.f64 eps x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) (cos.f64 (+.f64 eps x)))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (-.f64 (neg.f64 eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (-.f64 (neg.f64 eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (-.f64 (neg.f64 eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (-.f64 (neg.f64 eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (-.f64 (neg.f64 eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (-.f64 (neg.f64 eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (fabs.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (fabs.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (+.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (+.f64 (-.f64 (neg.f64 eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (+.f64 (-.f64 (neg.f64 eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (+.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (+.f64 (fabs.f64 (+.f64 eps x)) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (+.f64 (fabs.f64 (+.f64 eps x)) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (+.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64)) (+.f64 (-.f64 (neg.f64 eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64)) (+.f64 (-.f64 (neg.f64 eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64)) (+.f64 (fabs.f64 (+.f64 eps x)) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64)) (+.f64 (fabs.f64 (+.f64 eps x)) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 (-.f64 (neg.f64 eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (-.f64 (neg.f64 eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 (-.f64 (neg.f64 eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (-.f64 (neg.f64 eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64))) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64))) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64))) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (fabs.f64 (+.f64 eps x)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (fabs.f64 (+.f64 eps x)))) #s(literal 2 binary64)))))
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eps
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (sin.f64 x) #s(literal 0 binary64)))) (.f64 (sin.f64 x) #s(literal 0 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 x) #s(literal 0 binary64)) (.f64 (sin.f64 x) #s(literal 0 binary64))) (.f64 (.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (cos.f64 x) #s(literal 1 binary64)))) (-.f64 (.f64 (sin.f64 x) #s(literal 0 binary64)) (.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 x) #s(literal 0 binary64)) (.f64 (sin.f64 x) #s(literal 0 binary64)) (-.f64 (.f64 (.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 (.f64 (sin.f64 x) #s(literal 0 binary64)) (.f64 (cos.f64 x) #s(literal 1 binary64))))))
(sin.f64 (+.f64 (neg.f64 (neg.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (neg.f64 (fabs.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (fabs.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (fabs.f64 x)) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(fma.f64 (sin.f64 x) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(-.f64 (.f64 (sin.f64 x) #s(literal 0 binary64)) (.f64 (cos.f64 x) (sin.f64 (neg.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(cos.f64 (neg.f64 (neg.f64 (neg.f64 x))))
(cos.f64 (neg.f64 (neg.f64 (fabs.f64 x))))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 (fabs.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 (fabs.f64 x))
(cos.f64 x)
(+.f64 (.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64)) (.f64 (cos.f64 x) #s(literal 1 binary64)))
(+.f64 (.f64 (sin.f64 (fabs.f64 x)) #s(literal 0 binary64)) (.f64 (cos.f64 x) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 #s(literal 0 binary64) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 x) #s(literal 0 binary64)) (.f64 (cos.f64 x) #s(literal 1 binary64)))

eval30.0ms (0.4%)

Memory: 0.0MiB live, 47.8MiB allocated; 5ms collecting garbage
Compiler: Compiled 5 792 to 1 321 computations (77.2% saved)

prune13.0ms (0.2%)

Memory

19.9MiB live, 19.9MiB allocated; 0ms collecting garbage

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	246	13	259
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	246	14	260

Accuracy

99.8%

Counts

260 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.9%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
▶	46.8%	(-.f64 (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 x))
	46.7%	(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
✓	46.8%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
▶	45.2%	(-.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))))))
	44.9%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
	79.0%	(.f64 (.f64 (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
	47.8%	(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (-.f64 (neg.f64 eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (-.f64 (neg.f64 eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))))
▶	47.6%	(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (-.f64 (neg.f64 eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (-.f64 (neg.f64 eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
▶	44.7%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
▶	99.5%	#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))))
	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))))
	99.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
	75.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x))))

Compiler

Compiled 515 to 352 computations (31.7% saved)

sample0.0ms (0.0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
-1/2
1/24
-1/6
1
2
(* (PI) 1/2)
(PI)
1/2

Outputs
#s(literal -1/2 binary64)
#s(literal 6004799503160661/144115188075855872 binary64)
#s(literal -6004799503160661/36028797018963968 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 884279719003555/562949953421312 binary64)
#s(literal 884279719003555/281474976710656 binary64)
#s(literal 1/2 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 12 to 10 computations (16.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series69.0ms (0.8%)

Memory

-18.1MiB live, 73.6MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	898	6857

Stop Event

1×	iter-limit

Counts

49 → 220

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 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x))))
(.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))
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))
(.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))))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (.f64 #s(literal -1/6 binary64) (sin.f64 x)))))
#s(literal -1/2 binary64)
(cos.f64 x)
x
(.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (.f64 #s(literal -1/6 binary64) (sin.f64 x))))
(-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))
(.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))
#s(literal 1/24 binary64)
(*.f64 eps (cos.f64 x))
(*.f64 #s(literal -1/6 binary64) (sin.f64 x))
#s(literal -1/6 binary64)
(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)
(-.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))))))
(cos.f64 (+.f64 x eps))
(+.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)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 x))
(sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(-.f64 (neg.f64 x) eps)
(neg.f64 x)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (-.f64 (neg.f64 eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (-.f64 (neg.f64 eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (-.f64 (neg.f64 eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (-.f64 (neg.f64 eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(sin.f64 (/.f64 (-.f64 (+.f64 (-.f64 (neg.f64 eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (-.f64 (neg.f64 eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(-.f64 (+.f64 (-.f64 (neg.f64 eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64))))
(+.f64 (-.f64 (neg.f64 eps) x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(-.f64 (neg.f64 eps) x)
(neg.f64 eps)
(+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(cos.f64 (/.f64 (+.f64 (+.f64 (-.f64 (neg.f64 eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(/.f64 (+.f64 (+.f64 (-.f64 (neg.f64 eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(+.f64 (+.f64 (-.f64 (neg.f64 eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 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 (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (fma.f64 eps (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (fma.f64 x (fma.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (fma.f64 x (fma.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 x (fma.f64 eps (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal 1 binary64)))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) #s(literal 1 binary64)))))
#s(approx (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x) (.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))
#s(approx (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/36 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x) (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (-.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 eps x))) #s(literal 1/2 binary64)))
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (-.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/6 binary64) eps (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) #s(literal 1/2 binary64)))
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (-.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/6 binary64) eps (.f64 x (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/36 binary64) (.f64 eps x) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))))) #s(literal 1/2 binary64)))
#s(approx (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 (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))) (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 eps x))))
#s(approx (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/48 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 #s(literal 1/6 binary64) eps)))))
#s(approx (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/6 binary64) eps (.f64 x (fma.f64 #s(literal -1/36 binary64) (.f64 eps x) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))
#s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 #s(literal 1/24 binary64) eps))
#s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x)))
#s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 eps x))))))
#s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps)))))))
#s(approx (* 1/24 (* eps (cos x))) (fma.f64 #s(literal -1/48 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) eps)))
#s(approx (* 1/24 (* eps (cos x))) (fma.f64 #s(literal 1/24 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) eps (.f64 #s(literal 1/576 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* 1/24 (* eps (cos x))) (fma.f64 #s(literal 1/24 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/17280 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/576 binary64) eps)))))))
#s(approx (* eps (cos x)) eps)
#s(approx (* eps (cos x)) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* eps (cos x)) (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/24 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* eps (cos x)) (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) eps)))))))
#s(approx (* -1/6 (sin x)) (*.f64 #s(literal -1/6 binary64) x))
#s(approx (* -1/6 (sin x)) (.f64 x (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))
#s(approx (* -1/6 (sin x)) (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))
#s(approx (* -1/6 (sin x)) (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/36 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/30240 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/720 binary64))))) #s(literal 1/6 binary64))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (cos (+ x eps)) (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) (+.f64 eps x))
#s(approx (* -1/2 (pow x 2)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (- (sin (+ (- (neg x) eps) (* (PI) 1/2))) (cos x)) (-.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) eps)) #s(literal 1 binary64)))
#s(approx (- (sin (+ (- (neg x) eps) (* (PI) 1/2))) (cos x)) (-.f64 (+.f64 (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) eps)) (.f64 #s(literal -1 binary64) (.f64 x (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) eps))))) #s(literal 1 binary64)))
#s(approx (- (sin (+ (- (neg x) eps) (* (PI) 1/2))) (cos x)) (-.f64 (+.f64 (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) eps)) (.f64 x (fma.f64 #s(literal -1 binary64) (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) eps)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) eps)))))))) #s(literal 1 binary64)))
#s(approx (- (sin (+ (- (neg x) eps) (* (PI) 1/2))) (cos x)) (-.f64 (+.f64 (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) eps)) (.f64 x (fma.f64 #s(literal -1 binary64) (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) eps)) (.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) eps)) (.f64 #s(literal 1/6 binary64) (.f64 x (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) eps)))))))))) #s(literal 1 binary64)))
#s(approx (sin (+ (- (neg x) eps) (* (PI) 1/2))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) eps)))
#s(approx (sin (+ (- (neg x) eps) (* (PI) 1/2))) (+.f64 (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) eps)) (.f64 #s(literal -1 binary64) (.f64 x (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) eps))))))
#s(approx (sin (+ (- (neg x) eps) (* (PI) 1/2))) (+.f64 (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) eps)) (.f64 x (fma.f64 #s(literal -1 binary64) (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) eps)) (.f64 #s(literal -1/2 binary64) (.f64 x (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) eps))))))))
#s(approx (sin (+ (- (neg x) eps) (* (PI) 1/2))) (+.f64 (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) eps)) (.f64 x (fma.f64 #s(literal -1 binary64) (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) eps)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) eps)) (.f64 #s(literal 1/6 binary64) (.f64 x (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) eps))))))))))
#s(approx (+ (- (neg x) eps) (* (PI) 1/2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) eps))
#s(approx (+ (- (neg x) eps) (* (PI) 1/2)) (-.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/2 binary64) (PI.f64))) eps))
#s(approx (- (neg x) eps) (*.f64 #s(literal -1 binary64) eps))
#s(approx (- (neg x) eps) (-.f64 (*.f64 #s(literal -1 binary64) x) eps))
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx (* 2 (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (sin.f64 (.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (* 2 (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)))) (fma.f64 #s(literal 2 binary64) (.f64 x (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (sin.f64 (.f64 #s(literal -1/2 binary64) eps))))))
#s(approx (* 2 (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)))) (fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (sin.f64 (.f64 #s(literal -1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal -1 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (sin.f64 (.f64 #s(literal -1/2 binary64) eps)))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps)))))))))
#s(approx (* 2 (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)))) (fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (sin.f64 (.f64 #s(literal -1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps)))) (.f64 x (fma.f64 #s(literal -1 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (sin.f64 (.f64 #s(literal -1/2 binary64) eps))) (.f64 #s(literal -1/3 binary64) (.f64 x (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))))))))))))
#s(approx (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps))))
#s(approx (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2))) (fma.f64 x (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (sin.f64 (.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2))) (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (sin.f64 (.f64 #s(literal -1/2 binary64) eps)))) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (sin.f64 (.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (sin.f64 (.f64 #s(literal -1/2 binary64) eps))) (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))))))) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (sin.f64 (.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (+ (neg x) (* (PI) 1/2)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (+ (neg x) (* (PI) 1/2)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))))
#s(approx (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))))))
#s(approx (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))))) (.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))))))))
#s(approx (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (.f64 #s(literal -1/6 binary64) (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))))))) (.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))))))))
#s(approx (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps)))
#s(approx (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))))
#s(approx (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) (-.f64 (PI.f64) eps))
#s(approx (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) (-.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) x)) 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)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))
#s(approx (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))))
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (.f64 #s(literal -1/6 binary64) (sin.f64 x))))))
#s(approx (cos x) (cos.f64 x))
#s(approx (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (.f64 #s(literal -1/6 binary64) (sin.f64 x)))))
#s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x))))
#s(approx (* 1/24 (* eps (cos x))) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))))
#s(approx (* eps (cos x)) (*.f64 eps (cos.f64 x)))
#s(approx (* -1/6 (sin x)) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))
#s(approx (sin x) (sin.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 (+ 1 (* -1/2 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (- (sin (+ (- (neg x) eps) (* (PI) 1/2))) (cos x)) (-.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 eps x))) (cos.f64 x)))
#s(approx (sin (+ (- (neg x) eps) (* (PI) 1/2))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 eps x))))
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#s(approx (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (PI.f64) eps) x)) #s(literal 1 binary64))))
#s(approx (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) (*.f64 #s(literal -2 binary64) x))
#s(approx (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) (*.f64 x (-.f64 (/.f64 (PI.f64) x) (+.f64 #s(literal 2 binary64) (/.f64 eps 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))))
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#s(approx (sin (+ (- (neg x) eps) (* (PI) 1/2))) (sin.f64 (-.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/2 binary64) (PI.f64))) eps)))
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#s(approx (* 2 (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (PI.f64) (.f64 #s(literal -2 binary64) x)) eps))) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (PI.f64) (.f64 #s(literal -2 binary64) x)) eps))) (sin.f64 (.f64 #s(literal -1/2 binary64) eps))))
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#s(approx (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (PI.f64) (.f64 #s(literal -2 binary64) x)) eps))))
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#s(approx (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (PI.f64) eps) x))))))
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#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
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#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))) (sin.f64 x)))
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#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))
#s(approx (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))))
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#s(approx (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))))))
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
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#s(approx (- (cos eps) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 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))))
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#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 (+ 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)))))
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#s(approx (- (sin (+ (- (neg x) eps) (* (PI) 1/2))) (cos x)) (-.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x)) (cos.f64 x)))
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#s(approx (- (sin (+ (- (neg x) eps) (* (PI) 1/2))) (cos x)) (-.f64 (+.f64 (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x)) (.f64 eps (fma.f64 #s(literal -1 binary64) (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x)) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x))))))) (cos.f64 x)))
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#s(approx (sin (+ (- (neg x) eps) (* (PI) 1/2))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x)))
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#s(approx (+ (- (neg x) eps) (* (PI) 1/2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x))
#s(approx (+ (- (neg x) eps) (* (PI) 1/2)) (-.f64 (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal 1/2 binary64) (PI.f64))) x))
#s(approx (- (neg x) eps) (-.f64 (*.f64 #s(literal -1 binary64) eps) x))
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#s(approx (* 2 (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)))) (.f64 eps (fma.f64 #s(literal -1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (*.f64 #s(literal 2 binary64) x)))))))))
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#s(approx (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 #s(literal -1/4 binary64) (.f64 eps (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (*.f64 #s(literal 2 binary64) x)))))))))
#s(approx (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 eps (fma.f64 #s(literal -1/4 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 eps (fma.f64 #s(literal 1/48 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 #s(literal 1/16 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))))))))))
#s(approx (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 eps (fma.f64 #s(literal -1/4 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 eps (fma.f64 #s(literal 1/48 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (fma.f64 #s(literal 1/48 binary64) (.f64 eps (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))) (.f64 #s(literal 1/16 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (*.f64 #s(literal 2 binary64) x)))))))))))))
#s(approx (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (.f64 eps (-.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (.f64 eps (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
#s(approx (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (.f64 eps (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/645120 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/3840 binary64))))) #s(literal 1/2 binary64))))
#s(approx (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))))
#s(approx (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))))))
#s(approx (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 eps (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))))) (.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))))))))
#s(approx (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 #s(literal -1/48 binary64) (.f64 eps (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))))))) (.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (*.f64 #s(literal 2 binary64) x)))))))))
#s(approx (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2) (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))
#s(approx (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))))
#s(approx (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) (-.f64 (PI.f64) (*.f64 #s(literal 2 binary64) x)))
#s(approx (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) (-.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) eps)) (.f64 #s(literal 2 binary64) x)))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 eps #s(literal 4 binary64)) (cos.f64 x))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps)))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps))))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps)))))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (cos.f64 x))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps)))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) eps)))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) (cos.f64 x)))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) eps)))))
#s(approx (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps))))))
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps)))))
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) eps)))))
#s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (.f64 eps (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps)))))
#s(approx (+ x eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (+ (- (neg x) eps) (* (PI) 1/2)) (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) eps)) (+.f64 #s(literal 1 binary64) (/.f64 x eps)))))
#s(approx (- (neg x) eps) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
#s(approx (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2) (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (PI.f64) (*.f64 #s(literal 2 binary64) x)) eps)) #s(literal 1/2 binary64))))
#s(approx (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) (.f64 eps (-.f64 (/.f64 (PI.f64) eps) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 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 (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) eps))) eps) (*.f64 #s(literal 1/24 binary64) (cos.f64 x)))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (.f64 #s(literal -1/6 binary64) (sin.f64 x))) eps) (.f64 #s(literal 1/24 binary64) (cos.f64 x)))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/24 binary64) (cos.f64 x))))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps) (.f64 #s(literal -1/24 binary64) (cos.f64 x))))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) eps) (.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps) (.f64 #s(literal -1/24 binary64) (cos.f64 x))))))
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) eps))) eps) (*.f64 #s(literal 1/24 binary64) (cos.f64 x)))))
#s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/24 binary64) (cos.f64 x))))))
#s(approx (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)))))
#s(approx (- (sin (+ (- (neg x) eps) (* (PI) 1/2))) (cos x)) (-.f64 (sin.f64 (-.f64 (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal 1/2 binary64) (PI.f64))) x)) (cos.f64 x)))
#s(approx (sin (+ (- (neg x) eps) (* (PI) 1/2))) (sin.f64 (-.f64 (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal 1/2 binary64) (PI.f64))) x)))
#s(approx (+ (- (neg x) eps) (* (PI) 1/2)) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x) eps))))))
#s(approx (- (neg x) eps) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))))
#s(approx (* 2 (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) eps)) (.f64 #s(literal 2 binary64) x)))) (sin.f64 (.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) eps)) (.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps))))
#s(approx (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) eps)) (*.f64 #s(literal 2 binary64) x)))))
#s(approx (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)) eps))))))
#s(approx (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)) eps))))))

Calls

6 calls:

Time	Variable	Point
9.0ms	x	0
7.0ms	x	-inf
5.0ms	eps	0
5.0ms	x	inf
4.0ms	eps	-inf

rewrite140.0ms (1.7%)

Memory

19.9MiB live, 158.3MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	464
0	93	432
1	501	403
2	2696	403
0	4124	389

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

49 → 760

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 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x))))
(.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))
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))
(.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))))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (.f64 #s(literal -1/6 binary64) (sin.f64 x)))))
#s(literal -1/2 binary64)
(cos.f64 x)
x
(.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (.f64 #s(literal -1/6 binary64) (sin.f64 x))))
(-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))
(.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))
#s(literal 1/24 binary64)
(*.f64 eps (cos.f64 x))
(*.f64 #s(literal -1/6 binary64) (sin.f64 x))
#s(literal -1/6 binary64)
(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)
(-.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))))))
(cos.f64 (+.f64 x eps))
(+.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)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 x))
(sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(-.f64 (neg.f64 x) eps)
(neg.f64 x)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (-.f64 (neg.f64 eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (-.f64 (neg.f64 eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (-.f64 (neg.f64 eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (-.f64 (neg.f64 eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(sin.f64 (/.f64 (-.f64 (+.f64 (-.f64 (neg.f64 eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (-.f64 (neg.f64 eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(-.f64 (+.f64 (-.f64 (neg.f64 eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64))))
(+.f64 (-.f64 (neg.f64 eps) x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(-.f64 (neg.f64 eps) x)
(neg.f64 eps)
(+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(cos.f64 (/.f64 (+.f64 (+.f64 (-.f64 (neg.f64 eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(/.f64 (+.f64 (+.f64 (-.f64 (neg.f64 eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(+.f64 (+.f64 (-.f64 (neg.f64 eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64))))

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps)
(.f64 eps (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)))
(neg.f64 (.f64 (-.f64 (sin.f64 x) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps)) eps))
(neg.f64 (.f64 eps (-.f64 (sin.f64 x) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps))))
(fma.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) eps (*.f64 (neg.f64 (sin.f64 x)) eps))
(fma.f64 eps (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (.f64 eps (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps)) (.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) eps) (.f64 (neg.f64 (sin.f64 x)) eps))
eps
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 x)) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps))) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps))) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps)) (.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))) (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (neg.f64 (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) #s(literal 3 binary64)) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (-.f64 (.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (neg.f64 (sin.f64 x))))))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps)) (.f64 (sin.f64 x) (sin.f64 x))) (+.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (fma.f64 (sin.f64 x) (sin.f64 x) (.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)))))
(neg.f64 (-.f64 (sin.f64 x) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps)))
(fma.f64 (.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (fma.f64 (.f64 eps eps) (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (neg.f64 (sin.f64 x))))
(fma.f64 (.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 eps eps)) (sin.f64 x)))
(fma.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps (fma.f64 (.f64 eps eps) (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (neg.f64 (sin.f64 x))))
(fma.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 eps eps)) (sin.f64 x)))
(fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps (neg.f64 (sin.f64 x)))
(fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (fma.f64 (.f64 eps eps) (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (neg.f64 (sin.f64 x))))
(fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 eps eps)) (sin.f64 x)))
(fma.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) eps) (fma.f64 (.f64 eps eps) (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (neg.f64 (sin.f64 x))))
(fma.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) eps) (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 eps eps)) (sin.f64 x)))
(fma.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 x) eps) (fma.f64 (.f64 eps eps) (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (neg.f64 (sin.f64 x))))
(fma.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 x) eps) (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 eps eps)) (sin.f64 x)))
(fma.f64 eps (.f64 (cos.f64 x) #s(literal -1/2 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (neg.f64 (sin.f64 x))))
(fma.f64 eps (.f64 (cos.f64 x) #s(literal -1/2 binary64)) (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 eps eps)) (sin.f64 x)))
(fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) (neg.f64 (sin.f64 x)))
(-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (neg.f64 (neg.f64 (sin.f64 x))))
(-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x))
(+.f64 (neg.f64 (sin.f64 x)) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps))
(+.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (fma.f64 (.f64 eps eps) (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (.f64 eps eps)) (sin.f64 x)))
(+.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (neg.f64 (sin.f64 x)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (.f64 eps eps)) (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps))) (.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps))
(.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps)
(.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (.f64 eps eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (.f64 eps eps)))) (-.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (.f64 eps eps))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (.f64 eps eps)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (.f64 eps eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (.f64 eps eps))) (.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (.f64 eps eps))))))
(fma.f64 (.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 eps eps)))
(fma.f64 (.f64 eps eps) (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps))
(fma.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 eps eps)))
(fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) eps (.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (.f64 eps eps) (.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps))
(fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 eps eps)))
(fma.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) eps) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 eps eps)))
(fma.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 x) eps) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 eps eps)))
(fma.f64 eps (.f64 (cos.f64 x) #s(literal -1/2 binary64)) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 eps eps)))
(fma.f64 eps (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) (.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps))
(-.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (.f64 (neg.f64 eps) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)))
(-.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (.f64 (.f64 (fma.f64 (sin.f64 x) #s(literal -1/6 binary64) (.f64 #s(literal -1/24 binary64) (.f64 (cos.f64 x) eps))) eps) eps))
(-.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (neg.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (.f64 eps eps))))
(+.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (.f64 eps eps)))
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x
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(-.f64 (neg.f64 eps) (+.f64 (-.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64))) (-.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))))
(-.f64 (neg.f64 x) (-.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x) eps)))
(+.f64 (+.f64 (-.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x) eps) (.f64 #s(literal 1/2 binary64) (PI.f64))) (neg.f64 x))
(+.f64 (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x) (-.f64 (neg.f64 eps) x)) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (-.f64 (-.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x) eps) x) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x)) (-.f64 (neg.f64 eps) x))
(+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x) (-.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x) eps))
(+.f64 (-.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x) eps) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x))
(+.f64 (-.f64 (neg.f64 eps) x) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x)))
(+.f64 (neg.f64 eps) (+.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x))))
(+.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (-.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x) eps) x))
(+.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x) eps)))

eval115.0ms (1.4%)

Memory: 4.1MiB live, 188.3MiB allocated; 29ms collecting garbage
Compiler: Compiled 32 463 to 4 664 computations (85.6% saved)

prune31.0ms (0.4%)

Memory

6.0MiB live, 52.8MiB allocated; 3ms collecting garbage

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	812	19	831
Fresh	6	2	8
Picked	4	1	5
Done	0	1	1
Total	822	23	845

Accuracy

100.0%

Counts

845 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.9%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	46.8%	(-.f64 (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))
▶	46.8%	(-.f64 (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) #s(literal 884279719003555/562949953421312 binary64))) (cos.f64 x))
✓	46.8%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
▶	45.2%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	44.9%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
▶	47.8%	(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (-.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x) eps) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (-.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x) eps) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64)))))
	16.2%	(.f64 #s(literal 2 binary64) #s(approx ( (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (PI.f64) (.f64 #s(literal -2 binary64) x)) eps))) (sin.f64 (.f64 #s(literal -1/2 binary64) eps)))))
	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 eps (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (*.f64 eps (neg.f64 (sin.f64 x)))))
✓	44.7%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
	44.7%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64)))
▶	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps #s(approx (- ( 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x)))))) (sin.f64 x))))
	98.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 x))))
	99.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (sin.f64 x))))
	97.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) #s(literal 1 binary64)))))))
	96.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))))))
	46.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
	75.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))))
▶	46.3%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
	97.2%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (fma.f64 x (fma.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 x (fma.f64 eps (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
	96.5%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (fma.f64 eps (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
	14.4%	#s(approx (* 2 (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)))) (.f64 #s(literal -1 binary64) (.f64 eps (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))))))

Compiler

Compiled 1 543 to 1 008 computations (34.7% saved)

sample0.0ms (0.0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
-1/2
1/6
1/24
2
1
884279719003555/562949953421312
(* 1/2 (PI))
1/2
(PI)

Outputs
#s(literal -1/2 binary64)
#s(literal 6004799503160661/36028797018963968 binary64)
#s(literal 6004799503160661/144115188075855872 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 884279719003555/562949953421312 binary64)
#s(literal 884279719003555/562949953421312 binary64)
#s(literal 1/2 binary64)
#s(literal 884279719003555/281474976710656 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 13 to 11 computations (15.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series66.0ms (0.8%)

Memory

-26.4MiB live, 75.3MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	934	6507

Stop Event

1×	iter-limit

Counts

48 → 226

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps)
(-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x))
(.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps)
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps))
(cos.f64 x)
x
#s(literal -1/2 binary64)
(.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)
(fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))
#s(literal 1/6 binary64)
(sin.f64 x)
(.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))
(*.f64 (cos.f64 x) eps)
eps
#s(literal 1/24 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (- (cos eps) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))
(pow.f64 eps #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1 binary64)
(-.f64 (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) #s(literal 884279719003555/562949953421312 binary64))) (cos.f64 x))
(sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) #s(literal 884279719003555/562949953421312 binary64)))
(+.f64 (-.f64 (neg.f64 x) eps) #s(literal 884279719003555/562949953421312 binary64))
(-.f64 (neg.f64 x) eps)
(neg.f64 x)
#s(literal 884279719003555/562949953421312 binary64)
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (-.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x) eps) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (-.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x) eps) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64)))))
(.f64 (sin.f64 (/.f64 (-.f64 (-.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x) eps) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x) eps) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64))))
(sin.f64 (/.f64 (-.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x) eps) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x) eps) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64))
(-.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x) eps) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))
(-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x) eps)
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(PI.f64)
(fma.f64 #s(literal 1/2 binary64) (PI.f64) x)
(cos.f64 (/.f64 (+.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x) eps) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64)))
(/.f64 (+.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x) eps) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64))
(+.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x) eps) (fma.f64 #s(literal 1/2 binary64) (PI.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) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 eps (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 x (fma.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 x (fma.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 x (fma.f64 eps (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal 1 binary64)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) #s(literal 1 binary64)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x) (.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/36 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x) (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 eps x))) #s(literal 1/2 binary64)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/6 binary64) eps (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) #s(literal 1/2 binary64)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/6 binary64) eps (.f64 x (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/36 binary64) (.f64 eps x) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))))) #s(literal 1/2 binary64)))
#s(approx (cos x) #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 (sin x)) (* (* (cos x) eps) 1/24)) eps) (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 eps x))))
#s(approx (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/48 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 #s(literal 1/6 binary64) eps)))))
#s(approx (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/6 binary64) eps (.f64 x (fma.f64 #s(literal -1/36 binary64) (.f64 eps x) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))
#s(approx (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (*.f64 #s(literal 1/24 binary64) eps))
#s(approx (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x)))
#s(approx (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 eps x))))))
#s(approx (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps)))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (* (* (cos x) eps) 1/24) (fma.f64 #s(literal -1/48 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) eps)))
#s(approx (* (* (cos x) eps) 1/24) (fma.f64 #s(literal 1/24 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) eps (.f64 #s(literal 1/576 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* (* (cos x) eps) 1/24) (fma.f64 #s(literal 1/24 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/17280 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/576 binary64) eps)))))))
#s(approx (* (cos x) eps) eps)
#s(approx (* (cos x) eps) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (cos x) eps) (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/24 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* (cos x) eps) (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) eps)))))))
#s(approx (cos (+ x eps)) (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) (+.f64 eps x))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (- (sin (+ (- (neg x) eps) 884279719003555/562949953421312)) (cos x)) (-.f64 (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) eps)) #s(literal 1 binary64)))
#s(approx (- (sin (+ (- (neg x) eps) 884279719003555/562949953421312)) (cos x)) (-.f64 (+.f64 (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) eps)) (.f64 #s(literal -1 binary64) (.f64 x (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) eps))))) #s(literal 1 binary64)))
#s(approx (- (sin (+ (- (neg x) eps) 884279719003555/562949953421312)) (cos x)) (-.f64 (+.f64 (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) eps)) (.f64 x (fma.f64 #s(literal -1 binary64) (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) eps)) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) eps)))))))) #s(literal 1 binary64)))
#s(approx (- (sin (+ (- (neg x) eps) 884279719003555/562949953421312)) (cos x)) (-.f64 (+.f64 (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) eps)) (.f64 x (fma.f64 #s(literal -1 binary64) (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) eps)) (.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) eps)) (.f64 #s(literal 1/6 binary64) (.f64 x (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) eps)))))))))) #s(literal 1 binary64)))
#s(approx (sin (+ (- (neg x) eps) 884279719003555/562949953421312)) (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) eps)))
#s(approx (sin (+ (- (neg x) eps) 884279719003555/562949953421312)) (+.f64 (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) eps)) (.f64 #s(literal -1 binary64) (.f64 x (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) eps))))))
#s(approx (sin (+ (- (neg x) eps) 884279719003555/562949953421312)) (+.f64 (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) eps)) (.f64 x (fma.f64 #s(literal -1 binary64) (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) eps)) (.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) eps))))))))
#s(approx (sin (+ (- (neg x) eps) 884279719003555/562949953421312)) (+.f64 (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) eps)) (.f64 x (fma.f64 #s(literal -1 binary64) (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) eps)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) eps)) (.f64 #s(literal 1/6 binary64) (.f64 x (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) eps))))))))))
#s(approx (+ (- (neg x) eps) 884279719003555/562949953421312) (-.f64 #s(literal 884279719003555/562949953421312 binary64) eps))
#s(approx (+ (- (neg x) eps) 884279719003555/562949953421312) (-.f64 (+.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal -1 binary64) x)) eps))
#s(approx (- (neg x) eps) (*.f64 #s(literal -1 binary64) eps))
#s(approx (- (neg x) eps) (-.f64 (*.f64 #s(literal -1 binary64) x) eps))
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx (* 2 (* (sin (/ (- (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2)) (cos (/ (+ (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2)))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (sin.f64 (.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (* 2 (* (sin (/ (- (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2)) (cos (/ (+ (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2)))) (fma.f64 #s(literal -2 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (sin.f64 (.f64 #s(literal -1/2 binary64) eps))))))
#s(approx (* 2 (* (sin (/ (- (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2)) (cos (/ (+ (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2)))) (fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (sin.f64 (.f64 #s(literal -1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps)))) (.f64 #s(literal -1 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (sin.f64 (.f64 #s(literal -1/2 binary64) eps)))))))))
#s(approx (* 2 (* (sin (/ (- (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2)) (cos (/ (+ (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2)))) (fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (sin.f64 (.f64 #s(literal -1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps)))) (.f64 x (fma.f64 #s(literal -1 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (sin.f64 (.f64 #s(literal -1/2 binary64) eps))) (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))))))))))))
#s(approx (* (sin (/ (- (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2)) (cos (/ (+ (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps))))
#s(approx (* (sin (/ (- (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2)) (cos (/ (+ (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2))) (fma.f64 #s(literal -1 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (* (sin (/ (- (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2)) (cos (/ (+ (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2))) (fma.f64 x (fma.f64 #s(literal -1 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps)))) (.f64 #s(literal -1/2 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (sin.f64 (.f64 #s(literal -1/2 binary64) eps)))))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (* (sin (/ (- (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2)) (cos (/ (+ (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2))) (fma.f64 x (fma.f64 #s(literal -1 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps)))) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (sin.f64 (.f64 #s(literal -1/2 binary64) eps))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))))))))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (sin (/ (- (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2)) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (sin (/ (- (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2)) (+.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 #s(literal -1 binary64) (.f64 x (cos.f64 (.f64 #s(literal -1/2 binary64) eps))))))
#s(approx (sin (/ (- (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2)) (+.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 x (fma.f64 #s(literal -1 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 #s(literal -1/2 binary64) (.f64 x (sin.f64 (.f64 #s(literal -1/2 binary64) eps))))))))
#s(approx (sin (/ (- (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2)) (+.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 x (fma.f64 #s(literal -1 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 #s(literal 1/6 binary64) (.f64 x (cos.f64 (.f64 #s(literal -1/2 binary64) eps))))))))))
#s(approx (/ (- (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (/ (- (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) (-.f64 (*.f64 #s(literal -2 binary64) x) eps))
#s(approx (- (- (* 1/2 (PI)) x) eps) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) eps))
#s(approx (- (- (* 1/2 (PI)) x) eps) (-.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/2 binary64) (PI.f64))) eps))
#s(approx (- (* 1/2 (PI)) x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (- (* 1/2 (PI)) x) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (+ (* 1/2 (PI)) x) (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (cos (/ (+ (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))))
#s(approx (/ (+ (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps)))
#s(approx (+ (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) (-.f64 (PI.f64) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))))
#s(approx (cos x) (cos.f64 x))
#s(approx (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps) (.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))
#s(approx (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)) (.f64 #s(literal 1/6 binary64) (sin.f64 x))))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (* (cos x) eps) 1/24) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))))
#s(approx (* (cos x) eps) (*.f64 eps (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 (+ (* (* x x) -1/2) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* (* x x) -1/2) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (- (sin (+ (- (neg x) eps) 884279719003555/562949953421312)) (cos x)) (-.f64 (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) (+.f64 eps x))) (cos.f64 x)))
#s(approx (sin (+ (- (neg x) eps) 884279719003555/562949953421312)) (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) (+.f64 eps x))))
#s(approx (+ (- (neg x) eps) 884279719003555/562949953421312) (.f64 x (-.f64 (.f64 #s(literal 884279719003555/562949953421312 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 eps x)))))
#s(approx (- (neg x) eps) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
#s(approx (* 2 (* (sin (/ (- (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2)) (cos (/ (+ (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2)))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (sin.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))))
#s(approx (* (sin (/ (- (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2)) (cos (/ (+ (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (sin.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x))))))
#s(approx (sin (/ (- (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2)) (sin.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))))
#s(approx (/ (- (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
#s(approx (- (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) (*.f64 #s(literal -2 binary64) x))
#s(approx (- (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64))))
#s(approx (- (- (* 1/2 (PI)) x) eps) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x)) (+.f64 #s(literal 1 binary64) (/.f64 eps x)))))
#s(approx (- (* 1/2 (PI)) x) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x)) #s(literal 1 binary64))))
#s(approx (+ (* 1/2 (PI)) x) (.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 (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 (+ (- (neg x) eps) 884279719003555/562949953421312)) (cos x)) (-.f64 (sin.f64 (-.f64 (+.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal -1 binary64) x)) eps)) (cos.f64 x)))
#s(approx (sin (+ (- (neg x) eps) 884279719003555/562949953421312)) (sin.f64 (-.f64 (+.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal -1 binary64) x)) eps)))
#s(approx (+ (- (neg x) eps) 884279719003555/562949953421312) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) eps) x))))))
#s(approx (- (neg x) eps) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))))
#s(approx (* 2 (* (sin (/ (- (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2)) (cos (/ (+ (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2)))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal -2 binary64) x) eps))))))
#s(approx (* (sin (/ (- (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2)) (cos (/ (+ (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -2 binary64) x) eps)))))
#s(approx (sin (/ (- (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -2 binary64) x) eps))))
#s(approx (/ (- (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))))
#s(approx (- (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))))
#s(approx (- (- (* 1/2 (PI)) x) eps) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) eps) x))))))
#s(approx (- (* 1/2 (PI)) x) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) x))))))
#s(approx (+ (* 1/2 (PI)) x) (.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 #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) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x))))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))) (sin.f64 x)))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x)))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x)))))
#s(approx (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x))))
#s(approx (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
#s(approx (- (cos eps) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 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 (pow eps 2) (pow.f64 eps #s(literal 2 binary64)))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 x) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 x) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x))))) (sin.f64 x)))))
#s(approx (- (sin (+ (- (neg x) eps) 884279719003555/562949953421312)) (cos x)) (-.f64 (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x)) (cos.f64 x)))
#s(approx (- (sin (+ (- (neg x) eps) 884279719003555/562949953421312)) (cos x)) (-.f64 (+.f64 (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x)) (.f64 #s(literal -1 binary64) (.f64 eps (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x))))) (cos.f64 x)))
#s(approx (- (sin (+ (- (neg x) eps) 884279719003555/562949953421312)) (cos x)) (-.f64 (+.f64 (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x)) (.f64 eps (fma.f64 #s(literal -1 binary64) (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x)) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x))))))) (cos.f64 x)))
#s(approx (- (sin (+ (- (neg x) eps) 884279719003555/562949953421312)) (cos x)) (-.f64 (+.f64 (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x)) (.f64 eps (fma.f64 #s(literal -1 binary64) (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x)) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x)) (.f64 #s(literal 1/6 binary64) (.f64 eps (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x))))))))) (cos.f64 x)))
#s(approx (sin (+ (- (neg x) eps) 884279719003555/562949953421312)) (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x)))
#s(approx (sin (+ (- (neg x) eps) 884279719003555/562949953421312)) (+.f64 (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x)) (.f64 #s(literal -1 binary64) (.f64 eps (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x))))))
#s(approx (sin (+ (- (neg x) eps) 884279719003555/562949953421312)) (+.f64 (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x)) (.f64 eps (fma.f64 #s(literal -1 binary64) (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x)) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x))))))))
#s(approx (sin (+ (- (neg x) eps) 884279719003555/562949953421312)) (+.f64 (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x)) (.f64 eps (fma.f64 #s(literal -1 binary64) (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x)) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x)) (.f64 #s(literal 1/6 binary64) (.f64 eps (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x))))))))))
#s(approx (+ (- (neg x) eps) 884279719003555/562949953421312) (-.f64 #s(literal 884279719003555/562949953421312 binary64) x))
#s(approx (+ (- (neg x) eps) 884279719003555/562949953421312) (-.f64 (+.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal -1 binary64) eps)) x))
#s(approx (- (neg x) eps) (-.f64 (*.f64 #s(literal -1 binary64) eps) x))
#s(approx (* 2 (* (sin (/ (- (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2)) (cos (/ (+ (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2)))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (.f64 #s(literal -1 binary64) x)))))
#s(approx (* 2 (* (sin (/ (- (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2)) (cos (/ (+ (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2)))) (fma.f64 #s(literal 2 binary64) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 (.f64 #s(literal -1 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))))))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (.f64 #s(literal -1 binary64) x))))))
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#s(approx (- (neg x) eps) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))))
#s(approx (* 2 (* (sin (/ (- (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2)) (cos (/ (+ (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2)))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) eps)))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 2 binary64) x)))))))
#s(approx (* (sin (/ (- (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2)) (cos (/ (+ (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) eps)))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -1 binary64) eps) (.f64 #s(literal 2 binary64) x))))))
#s(approx (sin (/ (- (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 2 binary64) x)))))
#s(approx (/ (- (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))))
#s(approx (- (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))))
#s(approx (- (- (* 1/2 (PI)) x) eps) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x) eps))))))
#s(approx (cos (/ (+ (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) eps)))))
#s(approx (/ (+ (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) eps))))))
#s(approx (+ (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) eps))))))

Calls

6 calls:

Time	Variable	Point
11.0ms	x	inf
5.0ms	x	-inf
4.0ms	eps	0
4.0ms	x	0
4.0ms	eps	-inf

rewrite208.0ms (2.5%)

Memory

24.6MiB live, 167.2MiB allocated; 95ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	424
0	93	405
1	491	399
2	2478	399
0	4480	399

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

48 → 586

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps)
(-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x))
(.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps)
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps))
(cos.f64 x)
x
#s(literal -1/2 binary64)
(.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)
(fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))
#s(literal 1/6 binary64)
(sin.f64 x)
(.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))
(*.f64 (cos.f64 x) eps)
eps
#s(literal 1/24 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (- (cos eps) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))
(pow.f64 eps #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1 binary64)
(-.f64 (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) #s(literal 884279719003555/562949953421312 binary64))) (cos.f64 x))
(sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) #s(literal 884279719003555/562949953421312 binary64)))
(+.f64 (-.f64 (neg.f64 x) eps) #s(literal 884279719003555/562949953421312 binary64))
(-.f64 (neg.f64 x) eps)
(neg.f64 x)
#s(literal 884279719003555/562949953421312 binary64)
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (-.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x) eps) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (-.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x) eps) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64)))))
(.f64 (sin.f64 (/.f64 (-.f64 (-.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x) eps) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x) eps) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64))))
(sin.f64 (/.f64 (-.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x) eps) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x) eps) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64))
(-.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x) eps) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))
(-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x) eps)
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(PI.f64)
(fma.f64 #s(literal 1/2 binary64) (PI.f64) x)
(cos.f64 (/.f64 (+.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x) eps) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64)))
(/.f64 (+.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x) eps) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64))
(+.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x) eps) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps)
(.f64 eps (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)))
(neg.f64 (.f64 (-.f64 (sin.f64 x) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps)) eps))
(neg.f64 (.f64 eps (-.f64 (sin.f64 x) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps))))
(fma.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) eps (*.f64 (neg.f64 (sin.f64 x)) eps))
(fma.f64 eps (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (.f64 eps (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps)) (.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) eps) (.f64 (neg.f64 (sin.f64 x)) eps))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 x)) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps))) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps))) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps)) (.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))) (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (neg.f64 (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) #s(literal 3 binary64)) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (-.f64 (.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (neg.f64 (sin.f64 x))))))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps)) (.f64 (sin.f64 x) (sin.f64 x))) (+.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (fma.f64 (sin.f64 x) (sin.f64 x) (.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)))))
(neg.f64 (-.f64 (sin.f64 x) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps)))
(fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps (neg.f64 (sin.f64 x)))
(fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) (neg.f64 (sin.f64 x)))
(-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (neg.f64 (neg.f64 (sin.f64 x))))
(-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x))
(+.f64 (neg.f64 (sin.f64 x)) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps))
(+.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (neg.f64 (sin.f64 x)))
(.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps)
(.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps (.f64 (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) eps))
(fma.f64 (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) eps (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps))
(fma.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)))
(fma.f64 eps (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) (.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(+.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 eps (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)))
(+.f64 (.f64 eps (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (.f64 (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) eps))
(+.f64 (.f64 (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) eps) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps))) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/24 binary64)) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
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(/.f64 (+.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps)) (-.f64 (.f64 x x) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps)) x))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (-.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps) #s(literal 3 binary64))) (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (-.f64 (.f64 (-.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps) (-.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps)) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (-.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) (fma.f64 (-.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps) (-.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps) (fma.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 (-.f64 eps (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) (fma.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x) (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x) (fma.f64 (-.f64 eps (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (-.f64 eps (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) (-.f64 eps (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))))
(/.f64 (-.f64 (.f64 (-.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps) (-.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps)) (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) (-.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
(/.f64 (+.f64 (pow.f64 (-.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps) #s(literal 3 binary64)) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps) (-.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps) (-.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (.f64 (-.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))))
(neg.f64 (-.f64 (-.f64 eps (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)) (+.f64 x (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)) (-.f64 (neg.f64 x) (-.f64 eps (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x)) x (-.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 eps) (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x))) (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (.f64 (PI.f64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 eps (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x))) (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))
(fma.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (+.f64 x (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps)))
(fma.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (-.f64 (neg.f64 x) (-.f64 eps (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
(fma.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (+.f64 x (-.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps)))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 (neg.f64 x) (-.f64 eps (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (neg.f64 x) (-.f64 eps (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 x (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 x) (-.f64 eps (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
(-.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)) eps)
(-.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 eps x))
(-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps)) (neg.f64 x))
(-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (-.f64 eps (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)))
(-.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
(-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) (-.f64 eps (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
(-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (neg.f64 x) (-.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (+.f64 eps x) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 (+.f64 eps x) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 x (-.f64 eps (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
(+.f64 (+.f64 (-.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64)))
(+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)) (neg.f64 eps))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps)) x)
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps))
(+.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))
(+.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) (+.f64 (neg.f64 eps) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
(+.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) (-.f64 (neg.f64 eps) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
(+.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) (neg.f64 (-.f64 eps (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
(+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 x (-.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (neg.f64 x) (-.f64 eps (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
(+.f64 x (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps)))

eval120.0ms (1.4%)

Memory: 0.2MiB live, 183.0MiB allocated; 38ms collecting garbage
Compiler: Compiled 31 274 to 4 854 computations (84.5% saved)

prune35.0ms (0.4%)

Memory

19.7MiB live, 65.6MiB allocated; 3ms collecting garbage

Pruning

26 alts after pruning (22 fresh and 4 done)

	Pruned	Kept	Total
New	793	17	810
Fresh	11	5	16
Picked	3	2	5
Done	0	2	2
Total	807	26	833

Accuracy

100.0%

Counts

833 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.9%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
▶	46.8%	(-.f64 (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) (+.f64 eps x))) (cos.f64 x))
	46.8%	(-.f64 (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) #s(literal 884279719003555/562949953421312 binary64))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
✓	46.8%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	45.2%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	44.9%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
	47.5%	(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (-.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x) eps) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64))) (sin.f64 (fma.f64 (-.f64 (-.f64 eps (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x)) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
	10.6%	(.f64 #s(literal 2 binary64) (.f64 (sin.f64 #s(approx (/ (- (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2) (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1/2 binary64) eps)))) (cos.f64 (/.f64 (+.f64 (-.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x) eps) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64)))))
	10.8%	(.f64 #s(literal 2 binary64) #s(approx ( (sin (/ (- (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2)) (cos (/ (+ (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -2 binary64) x) eps))))))
	16.2%	(.f64 #s(literal 2 binary64) #s(approx ( (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (PI.f64) (.f64 #s(literal -2 binary64) x)) eps))) (sin.f64 (.f64 #s(literal -1/2 binary64) eps)))))
▶	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 eps (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (*.f64 eps (neg.f64 (sin.f64 x)))))
✓	44.7%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
	44.7%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64)))
✓	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
▶	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 #s(approx (+ ( 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x))) eps)) eps) (sin.f64 x)) eps))
	98.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
	99.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
	97.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) #s(literal 1 binary64))))) eps))
	96.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))))) eps))
	46.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))) eps))
▶	75.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x))) eps))
▶	46.3%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
	46.3%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 #s(literal -1/2 binary64) (exp.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))))))
	97.2%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 x (fma.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 x (fma.f64 eps (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
	96.5%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 eps (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
	14.4%	#s(approx (* 2 (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)))) (.f64 #s(literal -1 binary64) (.f64 eps (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))))))

Compiler

Compiled 1 722 to 1 133 computations (34.2% saved)

sample0.0ms (0.0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
-1/2
1/6
1/24
-1
884279719003555/562949953421312

Outputs
#s(literal -1/2 binary64)
#s(literal 6004799503160661/36028797018963968 binary64)
#s(literal 6004799503160661/144115188075855872 binary64)
#s(literal -1 binary64)
#s(literal 884279719003555/562949953421312 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 7 to 7 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series45.0ms (0.5%)

Memory

-29.3MiB live, 63.1MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	655	3893

Stop Event

1×	iter-limit

Counts

40 → 147

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 eps (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (*.f64 eps (neg.f64 (sin.f64 x)))))
(fma.f64 eps (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (*.f64 eps (neg.f64 (sin.f64 x))))
eps
(.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps)
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps))
(cos.f64 x)
x
#s(literal -1/2 binary64)
(.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)
(fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))
(sin.f64 x)
#s(literal 1/6 binary64)
(.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))
(*.f64 (cos.f64 x) eps)
#s(literal 1/24 binary64)
(*.f64 eps (neg.f64 (sin.f64 x)))
(neg.f64 (sin.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
(.f64 (.f64 eps eps) #s(literal -1/2 binary64))
(*.f64 eps eps)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x))) eps))
(.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x))) eps)
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (sin.f64 x))
#s(literal -1 binary64)
(-.f64 (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) (+.f64 eps x))) (cos.f64 x))
(sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) (+.f64 eps x)))
(-.f64 #s(literal 884279719003555/562949953421312 binary64) (+.f64 eps x))
#s(literal 884279719003555/562949953421312 binary64)
(+.f64 eps x)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 #s(approx (+ ( 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x))) eps)) eps) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 #s(approx (+ ( 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x))) eps)) eps) (sin.f64 x)) eps)
(-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 #s(approx (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x))) eps)) eps) (sin.f64 x))
(.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 #s(approx (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x))) eps)) eps)
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 #s(approx (+ ( 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x))) eps))
(.f64 #s(approx (+ ( 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x))) eps)
#s(approx (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x)))
(fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x))
(*.f64 #s(literal 1/6 binary64) 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 (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps)) (* eps (neg (sin x)))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (+ (* eps (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps)) (* eps (neg (sin x)))) (fma.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64)))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (+ (* eps (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps)) (* eps (neg (sin x)))) (fma.f64 x (fma.f64 #s(literal -1 binary64) eps (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (+ (* eps (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps)) (* eps (neg (sin x)))) (fma.f64 x (fma.f64 #s(literal -1 binary64) eps (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 x (fma.f64 x (fma.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 #s(literal 1/6 binary64) eps)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x) (.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/36 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x) (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 eps x))) #s(literal 1/2 binary64)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/6 binary64) eps (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) #s(literal 1/2 binary64)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/6 binary64) eps (.f64 x (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/36 binary64) (.f64 eps x) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))))) #s(literal 1/2 binary64)))
#s(approx (cos x) #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 (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 eps x))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/48 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 #s(literal 1/6 binary64) eps)))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/6 binary64) eps (.f64 x (fma.f64 #s(literal -1/36 binary64) (.f64 eps x) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (*.f64 #s(literal 1/24 binary64) eps))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x)))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 eps x))))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps)))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (* (* (cos x) eps) 1/24) (fma.f64 #s(literal -1/48 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) eps)))
#s(approx (* (* (cos x) eps) 1/24) (fma.f64 #s(literal 1/24 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) eps (.f64 #s(literal 1/576 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* (* (cos x) eps) 1/24) (fma.f64 #s(literal 1/24 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/17280 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/576 binary64) eps)))))))
#s(approx (* (cos x) eps) eps)
#s(approx (* (cos x) eps) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (cos x) eps) (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/24 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* (cos x) eps) (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) eps)))))))
#s(approx (* eps (neg (sin x))) (.f64 #s(literal -1 binary64) (.f64 eps x)))
#s(approx (* eps (neg (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 (* eps (neg (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 (* eps (neg (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 (neg (sin x)) (*.f64 #s(literal -1 binary64) x))
#s(approx (neg (sin x)) (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (neg (sin x)) (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))))
#s(approx (neg (sin x)) (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/120 binary64))))) #s(literal 1 binary64))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 eps (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 x (fma.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 x (fma.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 x (fma.f64 eps (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal 1 binary64)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) #s(literal 1 binary64)))))
#s(approx (- (sin (- 884279719003555/562949953421312 (+ eps x))) (cos x)) (-.f64 (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) eps)) #s(literal 1 binary64)))
#s(approx (- (sin (- 884279719003555/562949953421312 (+ eps x))) (cos x)) (-.f64 (+.f64 (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) eps)) (.f64 #s(literal -1 binary64) (.f64 x (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) eps))))) #s(literal 1 binary64)))
#s(approx (- (sin (- 884279719003555/562949953421312 (+ eps x))) (cos x)) (-.f64 (+.f64 (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) eps)) (.f64 x (fma.f64 #s(literal -1 binary64) (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) eps)) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) eps)))))))) #s(literal 1 binary64)))
#s(approx (- (sin (- 884279719003555/562949953421312 (+ eps x))) (cos x)) (-.f64 (+.f64 (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) eps)) (.f64 x (fma.f64 #s(literal -1 binary64) (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) eps)) (.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) eps)) (.f64 #s(literal 1/6 binary64) (.f64 x (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) eps)))))))))) #s(literal 1 binary64)))
#s(approx (sin (- 884279719003555/562949953421312 (+ eps x))) (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) eps)))
#s(approx (sin (- 884279719003555/562949953421312 (+ eps x))) (+.f64 (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) eps)) (.f64 #s(literal -1 binary64) (.f64 x (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) eps))))))
#s(approx (sin (- 884279719003555/562949953421312 (+ eps x))) (+.f64 (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) eps)) (.f64 x (fma.f64 #s(literal -1 binary64) (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) eps)) (.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) eps))))))))
#s(approx (sin (- 884279719003555/562949953421312 (+ eps x))) (+.f64 (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) eps)) (.f64 x (fma.f64 #s(literal -1 binary64) (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) eps)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) eps)) (.f64 #s(literal 1/6 binary64) (.f64 x (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) eps))))))))))
#s(approx (- 884279719003555/562949953421312 (+ eps x)) (-.f64 #s(literal 884279719003555/562949953421312 binary64) eps))
#s(approx (- 884279719003555/562949953421312 (+ eps x)) (-.f64 (+.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal -1 binary64) x)) eps))
#s(approx (+ eps x) (+.f64 eps x))
#s(approx (* 1/6 x) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (+ (* eps (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps)) (* eps (neg (sin x)))) (fma.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))))
#s(approx (cos x) (cos.f64 x))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)) (.f64 #s(literal 1/6 binary64) (sin.f64 x))))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (* (cos x) eps) 1/24) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))))
#s(approx (* (cos x) eps) (*.f64 eps (cos.f64 x)))
#s(approx (* eps (neg (sin x))) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x))))
#s(approx (neg (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))
#s(approx (- (sin (- 884279719003555/562949953421312 (+ eps x))) (cos x)) (-.f64 (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) (+.f64 eps x))) (cos.f64 x)))
#s(approx (sin (- 884279719003555/562949953421312 (+ eps x))) (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) (+.f64 eps x))))
#s(approx (- 884279719003555/562949953421312 (+ eps x)) (.f64 x (-.f64 (.f64 #s(literal 884279719003555/562949953421312 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 eps x)))))
#s(approx (+ eps x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (+ (* 1/24 eps) (* 1/6 x)) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (/.f64 eps x)))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 x)))
#s(approx (- (sin (- 884279719003555/562949953421312 (+ eps x))) (cos x)) (-.f64 (sin.f64 (-.f64 (+.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal -1 binary64) x)) eps)) (cos.f64 x)))
#s(approx (sin (- 884279719003555/562949953421312 (+ eps x))) (sin.f64 (-.f64 (+.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal -1 binary64) x)) eps)))
#s(approx (- 884279719003555/562949953421312 (+ eps x)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) eps) x))))))
#s(approx (+ eps x) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (+ (* 1/24 eps) (* 1/6 x)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 eps x)) #s(literal 1/6 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))))
#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 (+ (* eps (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps)) (* eps (neg (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 (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps)) (* eps (neg (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 (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps)) (* eps (neg (sin x)))) (.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x)))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
#s(approx (- (cos eps) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 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 (* eps eps) (pow.f64 eps #s(literal 2 binary64)))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))) (sin.f64 x)))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x)))
#s(approx (- (sin (- 884279719003555/562949953421312 (+ eps x))) (cos x)) (-.f64 (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x)) (cos.f64 x)))
#s(approx (- (sin (- 884279719003555/562949953421312 (+ eps x))) (cos x)) (-.f64 (+.f64 (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x)) (.f64 #s(literal -1 binary64) (.f64 eps (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x))))) (cos.f64 x)))
#s(approx (- (sin (- 884279719003555/562949953421312 (+ eps x))) (cos x)) (-.f64 (+.f64 (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x)) (.f64 eps (fma.f64 #s(literal -1 binary64) (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x)) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x))))))) (cos.f64 x)))
#s(approx (- (sin (- 884279719003555/562949953421312 (+ eps x))) (cos x)) (-.f64 (+.f64 (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x)) (.f64 eps (fma.f64 #s(literal -1 binary64) (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x)) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x)) (.f64 #s(literal 1/6 binary64) (.f64 eps (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x))))))))) (cos.f64 x)))
#s(approx (sin (- 884279719003555/562949953421312 (+ eps x))) (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x)))
#s(approx (sin (- 884279719003555/562949953421312 (+ eps x))) (+.f64 (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x)) (.f64 #s(literal -1 binary64) (.f64 eps (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x))))))
#s(approx (sin (- 884279719003555/562949953421312 (+ eps x))) (+.f64 (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x)) (.f64 eps (fma.f64 #s(literal -1 binary64) (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x)) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x))))))))
#s(approx (sin (- 884279719003555/562949953421312 (+ eps x))) (+.f64 (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x)) (.f64 eps (fma.f64 #s(literal -1 binary64) (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x)) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x)) (.f64 #s(literal 1/6 binary64) (.f64 eps (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x))))))))))
#s(approx (- 884279719003555/562949953421312 (+ eps x)) (-.f64 #s(literal 884279719003555/562949953421312 binary64) x))
#s(approx (- 884279719003555/562949953421312 (+ eps x)) (-.f64 (+.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal -1 binary64) eps)) x))
#s(approx (+ (* eps (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps)) (* eps (neg (sin x)))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 eps #s(literal 4 binary64)) (cos.f64 x))))
#s(approx (+ (* eps (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps)) (* eps (neg (sin x)))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps)))))
#s(approx (+ (* eps (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps)) (* eps (neg (sin x)))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps))))))
#s(approx (+ (* eps (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps)) (* eps (neg (sin x)))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps)))))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (cos.f64 x))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps)))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps))))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (.f64 eps (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (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 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps)))))))
#s(approx (- 884279719003555/562949953421312 (+ eps x)) (*.f64 #s(literal -1 binary64) eps))
#s(approx (- 884279719003555/562949953421312 (+ eps x)) (.f64 eps (-.f64 (.f64 #s(literal 884279719003555/562949953421312 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (/.f64 x eps)))))
#s(approx (+ eps x) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (+ (* 1/24 eps) (* 1/6 x)) (.f64 eps (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/6 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 (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps)) (* eps (neg (sin x)))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) eps))) eps) (*.f64 #s(literal 1/24 binary64) (cos.f64 x)))))
#s(approx (+ (* eps (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps)) (* eps (neg (sin x)))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (.f64 #s(literal -1/6 binary64) (sin.f64 x))) eps) (.f64 #s(literal 1/24 binary64) (cos.f64 x)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/24 binary64) (cos.f64 x))))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps) (.f64 #s(literal -1/24 binary64) (cos.f64 x))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) eps))) eps) (*.f64 #s(literal 1/24 binary64) (cos.f64 x)))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/24 binary64) (cos.f64 x))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) eps) (.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps) (.f64 #s(literal -1/24 binary64) (cos.f64 x))))))
#s(approx (- (sin (- 884279719003555/562949953421312 (+ eps x))) (cos x)) (-.f64 (sin.f64 (-.f64 (+.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal -1 binary64) eps)) x)) (cos.f64 x)))
#s(approx (sin (- 884279719003555/562949953421312 (+ eps x))) (sin.f64 (-.f64 (+.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal -1 binary64) eps)) x)))
#s(approx (- 884279719003555/562949953421312 (+ eps x)) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x) eps))))))
#s(approx (+ eps x) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (+ (* 1/24 eps) (* 1/6 x)) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 x eps)) #s(literal 1/24 binary64)))))

Calls

6 calls:

Time	Variable	Point
4.0ms	eps	-inf
3.0ms	x	inf
3.0ms	x	-inf
3.0ms	eps	inf
3.0ms	eps	0

rewrite118.0ms (1.4%)

Memory

28.4MiB live, 127.4MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	498
0	90	477
1	461	477
2	1712	477
0	4208	477

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

40 → 364

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 eps (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (*.f64 eps (neg.f64 (sin.f64 x)))))
(fma.f64 eps (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (*.f64 eps (neg.f64 (sin.f64 x))))
eps
(.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps)
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps))
(cos.f64 x)
x
#s(literal -1/2 binary64)
(.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)
(fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))
(sin.f64 x)
#s(literal 1/6 binary64)
(.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))
(*.f64 (cos.f64 x) eps)
#s(literal 1/24 binary64)
(*.f64 eps (neg.f64 (sin.f64 x)))
(neg.f64 (sin.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
(.f64 (.f64 eps eps) #s(literal -1/2 binary64))
(*.f64 eps eps)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x))) eps))
(.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x))) eps)
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (sin.f64 x))
#s(literal -1 binary64)
(-.f64 (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) (+.f64 eps x))) (cos.f64 x))
(sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) (+.f64 eps x)))
(-.f64 #s(literal 884279719003555/562949953421312 binary64) (+.f64 eps x))
#s(literal 884279719003555/562949953421312 binary64)
(+.f64 eps x)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 #s(approx (+ ( 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x))) eps)) eps) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 #s(approx (+ ( 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x))) eps)) eps) (sin.f64 x)) eps)
(-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 #s(approx (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x))) eps)) eps) (sin.f64 x))
(.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 #s(approx (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x))) eps)) eps)
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 #s(approx (+ ( 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x))) eps))
(.f64 #s(approx (+ ( 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x))) eps)
#s(approx (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x)))
(fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x))
(*.f64 #s(literal 1/6 binary64) x)

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) (.f64 eps eps)) (.f64 (neg.f64 eps) (sin.f64 x)))) (.f64 (neg.f64 eps) (sin.f64 x)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (sin.f64 x) eps) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) (.f64 eps eps)))) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) (.f64 eps eps)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) (.f64 eps eps)))) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) (.f64 eps eps)))
(.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps)
(.f64 eps (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (.f64 (neg.f64 eps) (sin.f64 x))) (.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) (.f64 eps eps)) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) (.f64 eps eps)))) (-.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) (.f64 eps eps))))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) (.f64 eps eps)) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) (.f64 eps eps))) (.f64 (.f64 (sin.f64 x) eps) (.f64 (sin.f64 x) eps))) (+.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) (.f64 eps eps)) (.f64 (sin.f64 x) eps)))
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(+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 #s(approx (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x))) eps))
(+.f64 (.f64 #s(approx (+ ( 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (.f64 #s(literal 1/6 binary64) x))) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(.f64 #s(approx (+ ( 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x))) eps)
(.f64 eps #s(approx (+ ( 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x))))
#s(approx (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/24 binary64) eps) (.f64 #s(literal 1/6 binary64) x))) (.f64 #s(literal 1/6 binary64) x))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 #s(literal 1/24 binary64) eps))) (.f64 #s(literal 1/24 binary64) eps))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/24 binary64) eps))) (.f64 #s(literal 1/24 binary64) eps))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/6 binary64) x)) (.f64 (.f64 #s(literal 1/24 binary64) eps) (.f64 #s(literal 1/24 binary64) eps))) (-.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/24 binary64) eps)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) eps) (.f64 #s(literal 1/24 binary64) eps)) (.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 #s(literal -1/6 binary64) x))) (+.f64 (.f64 #s(literal 1/24 binary64) eps) (.f64 #s(literal -1/6 binary64) x)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/24 binary64) eps) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/6 binary64) x) (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) eps) (.f64 #s(literal 1/24 binary64) eps)) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/24 binary64) eps)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) eps) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/24 binary64) eps) (.f64 #s(literal 1/24 binary64) eps) (fma.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 #s(literal -1/6 binary64) x) (.f64 (.f64 #s(literal 1/24 binary64) eps) (*.f64 #s(literal -1/6 binary64) x)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) eps) (.f64 #s(literal 1/24 binary64) eps)) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/6 binary64) x))) (-.f64 (.f64 #s(literal 1/24 binary64) eps) (.f64 #s(literal 1/6 binary64) x)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) eps) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/24 binary64) eps) (.f64 #s(literal 1/24 binary64) eps) (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/6 binary64) x)) (.f64 (.f64 #s(literal 1/24 binary64) eps) (.f64 #s(literal 1/6 binary64) x)))))
(neg.f64 (-.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 #s(literal 1/24 binary64) eps)))
(fma.f64 #s(literal 1/24 binary64) eps (neg.f64 (*.f64 #s(literal -1/6 binary64) x)))
(fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x))
(fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps))
(fma.f64 eps #s(literal 1/24 binary64) (neg.f64 (*.f64 #s(literal -1/6 binary64) x)))
(fma.f64 eps #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) x))
(fma.f64 x #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) eps))
(-.f64 (.f64 #s(literal 1/24 binary64) eps) (.f64 #s(literal -1/6 binary64) x))
(-.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal -1/24 binary64) eps))
(-.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (neg.f64 eps) #s(literal 1/24 binary64)))
(-.f64 (.f64 #s(literal 1/6 binary64) x) (neg.f64 (.f64 #s(literal 1/24 binary64) eps)))
(+.f64 (.f64 #s(literal 1/24 binary64) eps) (neg.f64 (.f64 #s(literal -1/6 binary64) x)))
(+.f64 (.f64 #s(literal 1/24 binary64) eps) (.f64 #s(literal 1/6 binary64) x))
(+.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/24 binary64) eps))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))

eval64.0ms (0.8%)

Memory: 2.5MiB live, 94.7MiB allocated; 5ms collecting garbage
Compiler: Compiled 19 789 to 2 904 computations (85.3% saved)

prune28.0ms (0.3%)

Memory

-20.1MiB live, 30.0MiB allocated; 6ms collecting garbage

Pruning

25 alts after pruning (20 fresh and 5 done)

	Pruned	Kept	Total
New	501	9	510
Fresh	6	11	17
Picked	3	2	5
Done	1	3	4
Total	511	25	536

Accuracy

100.0%

Counts

536 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.9%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	46.8%	(-.f64 (sin.f64 (-.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x) eps)) (cos.f64 x))
	46.8%	(-.f64 (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) (+.f64 eps x))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
✓	46.8%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	45.2%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	47.5%	(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (-.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x) eps) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64))) (sin.f64 (fma.f64 (-.f64 (-.f64 eps (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x)) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
	10.6%	(.f64 #s(literal 2 binary64) (.f64 (sin.f64 #s(approx (/ (- (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2) (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1/2 binary64) eps)))) (cos.f64 (/.f64 (+.f64 (-.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x) eps) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64)))))
	10.8%	(.f64 #s(literal 2 binary64) #s(approx ( (sin (/ (- (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2)) (cos (/ (+ (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -2 binary64) x) eps))))))
	16.2%	(.f64 #s(literal 2 binary64) #s(approx ( (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (PI.f64) (.f64 #s(literal -2 binary64) x)) eps))) (sin.f64 (.f64 #s(literal -1/2 binary64) eps)))))
	98.5%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 eps (.f64 #s(approx (+ ( (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))) eps) (.f64 eps (neg.f64 (sin.f64 x)))))
	99.3%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 eps (.f64 #s(approx (+ ( (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (.f64 eps (neg.f64 (sin.f64 x)))))
	44.7%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64)))
✓	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
✓	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 #s(approx (+ ( 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x))) eps)) eps) (sin.f64 x)) eps))
	98.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal -1/2 binary64) (.f64 #s(approx (+ ( 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x))) eps)) eps) (sin.f64 x)) eps))
	98.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
	99.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
	96.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))))) eps))
	46.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))) eps))
	74.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 #s(literal -1 binary64) #s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))) eps))
	75.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (neg.f64 (sin.f64 x))) eps))
✓	46.3%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
	46.3%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (exp.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))) #s(literal -1/2 binary64))))
	96.5%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* eps (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps)) (* eps (neg (sin x)))) (fma.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64)))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
	14.4%	#s(approx (* 2 (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)))) (.f64 #s(literal -1 binary64) (.f64 eps (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))))))

Compiler

Compiled 859 to 579 computations (32.6% saved)

regimes301.0ms (3.6%)

Memory

-58.6MiB live, 265.1MiB allocated; 127ms collecting garbage

Counts

5 → 1

7 → 1

9 → 1

16 → 1

18 → 1

31 → 1

51 → 1

54 → 1

59 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (exp.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))) #s(literal -1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 #s(literal -1/2 binary64) (exp.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64)))

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))

Call 2

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (exp.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))) #s(literal -1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 #s(literal -1/2 binary64) (exp.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))) eps))

Outputs

#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))

Call 3

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (exp.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))) #s(literal -1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 #s(literal -1/2 binary64) (exp.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 #s(literal -1 binary64) #s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))

Outputs

#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 #s(literal -1 binary64) #s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))) eps))

Call 4

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (exp.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))) #s(literal -1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 #s(literal -1/2 binary64) (exp.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 #s(literal -1 binary64) #s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (neg.f64 (sin.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(approx (- ( (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* 2 (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)))) (.f64 #s(literal -1 binary64) (.f64 eps (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))))))

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (neg.f64 (sin.f64 x))) eps))

Call 5

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (exp.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))) #s(literal -1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 #s(literal -1/2 binary64) (exp.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 #s(literal -1 binary64) #s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (neg.f64 (sin.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(approx (- ( (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* 2 (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)))) (.f64 #s(literal -1 binary64) (.f64 eps (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))))))

Outputs

#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (fma.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))))) eps))

Call 6

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (exp.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))) #s(literal -1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 #s(literal -1/2 binary64) (exp.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 #s(literal -1 binary64) #s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (neg.f64 (sin.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(approx (- ( (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* 2 (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)))) (.f64 #s(literal -1 binary64) (.f64 eps (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal -1/2 binary64) (.f64 #s(approx (+ ( 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x))) eps)) eps) (sin.f64 x)) eps))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 eps (.f64 #s(approx (+ ( (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))) eps) (.f64 eps (neg.f64 (sin.f64 x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* eps (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps)) (* eps (neg (sin x)))) (fma.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64)))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (fma.f64 eps (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 eps (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(-.f64 (sin.f64 (-.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x) eps)) (cos.f64 x))
(-.f64 (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) (+.f64 eps x))) (cos.f64 x))
(-.f64 (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) #s(literal 884279719003555/562949953421312 binary64))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))

Outputs

#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal -1/2 binary64) (*.f64 #s(approx (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x))) eps)) eps) (sin.f64 x)) eps))

Call 7

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (exp.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))) #s(literal -1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 #s(literal -1/2 binary64) (exp.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 #s(literal -1 binary64) #s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (neg.f64 (sin.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(approx (- ( (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* 2 (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)))) (.f64 #s(literal -1 binary64) (.f64 eps (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal -1/2 binary64) (.f64 #s(approx (+ ( 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x))) eps)) eps) (sin.f64 x)) eps))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 eps (.f64 #s(approx (+ ( (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))) eps) (.f64 eps (neg.f64 (sin.f64 x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* eps (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps)) (* eps (neg (sin x)))) (fma.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64)))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (fma.f64 eps (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 eps (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(-.f64 (sin.f64 (-.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x) eps)) (cos.f64 x))
(-.f64 (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) (+.f64 eps x))) (cos.f64 x))
(-.f64 (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) #s(literal 884279719003555/562949953421312 binary64))) (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 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 #s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
(-.f64 (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 x))
(-.f64 (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) (+.f64 eps x))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
(-.f64 (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) #s(literal 884279719003555/562949953421312 binary64))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 eps (.f64 #s(approx (+ ( (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (.f64 eps (neg.f64 (sin.f64 x)))))
(-.f64 (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))
(.f64 #s(literal 2 binary64) #s(approx ( (sin (/ (- (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2)) (cos (/ (+ (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -2 binary64) x) eps))))))
(.f64 #s(literal 2 binary64) #s(approx ( (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (PI.f64) (.f64 #s(literal -2 binary64) x)) eps))) (sin.f64 (.f64 #s(literal -1/2 binary64) eps)))))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 #s(approx (+ ( 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x))) eps)) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps #s(approx (- ( 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x)))))) (sin.f64 x))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 #s(approx (/ (- (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2) (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1/2 binary64) eps)))) (cos.f64 (/.f64 (+.f64 (-.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x) eps) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (-.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x) eps) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (-.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x) eps) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) #s(literal 1 binary64))))) eps))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (-.f64 (neg.f64 eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (-.f64 (neg.f64 eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (-.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x) eps) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64))) (sin.f64 (fma.f64 (-.f64 (-.f64 eps (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x)) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (-.f64 (neg.f64 eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (-.f64 (neg.f64 eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))

Call 8

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (exp.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))) #s(literal -1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 #s(literal -1/2 binary64) (exp.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 #s(literal -1 binary64) #s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (neg.f64 (sin.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(approx (- ( (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* 2 (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)))) (.f64 #s(literal -1 binary64) (.f64 eps (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal -1/2 binary64) (.f64 #s(approx (+ ( 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x))) eps)) eps) (sin.f64 x)) eps))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 eps (.f64 #s(approx (+ ( (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))) eps) (.f64 eps (neg.f64 (sin.f64 x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* eps (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps)) (* eps (neg (sin x)))) (fma.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64)))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (fma.f64 eps (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 eps (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(-.f64 (sin.f64 (-.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x) eps)) (cos.f64 x))
(-.f64 (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) (+.f64 eps x))) (cos.f64 x))
(-.f64 (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) #s(literal 884279719003555/562949953421312 binary64))) (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 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 #s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
(-.f64 (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 x))
(-.f64 (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) (+.f64 eps x))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
(-.f64 (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) #s(literal 884279719003555/562949953421312 binary64))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 eps (.f64 #s(approx (+ ( (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (.f64 eps (neg.f64 (sin.f64 x)))))
(-.f64 (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))
(.f64 #s(literal 2 binary64) #s(approx ( (sin (/ (- (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2)) (cos (/ (+ (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -2 binary64) x) eps))))))
(.f64 #s(literal 2 binary64) #s(approx ( (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (PI.f64) (.f64 #s(literal -2 binary64) x)) eps))) (sin.f64 (.f64 #s(literal -1/2 binary64) eps)))))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 #s(approx (+ ( 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x))) eps)) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps #s(approx (- ( 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x)))))) (sin.f64 x))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 #s(approx (/ (- (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2) (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1/2 binary64) eps)))) (cos.f64 (/.f64 (+.f64 (-.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x) eps) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (-.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x) eps) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (-.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x) eps) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) #s(literal 1 binary64))))) eps))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (-.f64 (neg.f64 eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (-.f64 (neg.f64 eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (-.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x) eps) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64))) (sin.f64 (fma.f64 (-.f64 (-.f64 eps (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x)) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (-.f64 (neg.f64 eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (-.f64 (neg.f64 eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x))))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (fma.f64 x (fma.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 x (fma.f64 eps (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 x (fma.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 x (fma.f64 eps (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x))))) (sin.f64 x))))

Call 9

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (exp.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))) #s(literal -1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 #s(literal -1/2 binary64) (exp.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 #s(literal -1 binary64) #s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (neg.f64 (sin.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(approx (- ( (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* 2 (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)))) (.f64 #s(literal -1 binary64) (.f64 eps (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal -1/2 binary64) (.f64 #s(approx (+ ( 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x))) eps)) eps) (sin.f64 x)) eps))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 eps (.f64 #s(approx (+ ( (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))) eps) (.f64 eps (neg.f64 (sin.f64 x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* eps (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps)) (* eps (neg (sin x)))) (fma.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64)))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (fma.f64 eps (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 eps (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(-.f64 (sin.f64 (-.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x) eps)) (cos.f64 x))
(-.f64 (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) (+.f64 eps x))) (cos.f64 x))
(-.f64 (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) #s(literal 884279719003555/562949953421312 binary64))) (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 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 #s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
(-.f64 (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 x))
(-.f64 (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) (+.f64 eps x))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
(-.f64 (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) #s(literal 884279719003555/562949953421312 binary64))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 eps (.f64 #s(approx (+ ( (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (.f64 eps (neg.f64 (sin.f64 x)))))
(-.f64 (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))
(.f64 #s(literal 2 binary64) #s(approx ( (sin (/ (- (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2)) (cos (/ (+ (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -2 binary64) x) eps))))))
(.f64 #s(literal 2 binary64) #s(approx ( (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (PI.f64) (.f64 #s(literal -2 binary64) x)) eps))) (sin.f64 (.f64 #s(literal -1/2 binary64) eps)))))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 #s(approx (+ ( 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x))) eps)) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps #s(approx (- ( 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x)))))) (sin.f64 x))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 #s(approx (/ (- (- (- (* 1/2 (PI)) x) eps) (+ (* 1/2 (PI)) x)) 2) (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1/2 binary64) eps)))) (cos.f64 (/.f64 (+.f64 (-.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x) eps) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (-.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x) eps) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (-.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x) eps) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) #s(literal 1 binary64))))) eps))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (-.f64 (neg.f64 eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (-.f64 (neg.f64 eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (-.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x) eps) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64))) (sin.f64 (fma.f64 (-.f64 (-.f64 eps (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x)) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (-.f64 (neg.f64 eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (-.f64 (neg.f64 eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x))))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (fma.f64 x (fma.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 x (fma.f64 eps (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 x (fma.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 x (fma.f64 eps (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 eps (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (*.f64 eps (neg.f64 (sin.f64 x)))))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 eps (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (*.f64 eps (neg.f64 (sin.f64 x)))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))

Outputs

#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))

Calls

27 calls:

25.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
19.0ms	eps
14.0ms	x
13.0ms	x
12.0ms	eps

Results

Accuracy	Segments	Branch
46.3%	1	`x`
46.3%	1	`eps`
46.3%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
46.3%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
46.3%	1	`eps`
46.3%	1	`x`
74.1%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
74.1%	1	`x`
74.1%	1	`eps`
75.6%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
75.6%	1	`x`
75.6%	1	`eps`
96.3%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
96.3%	1	`eps`
96.3%	1	`x`
98.6%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
98.6%	1	`x`
98.6%	1	`eps`
99.3%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.3%	1	`x`
99.3%	1	`eps`
99.4%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.4%	1	`x`
99.4%	1	`eps`
99.5%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.5%	1	`x`
99.5%	1	`eps`

Compiler

Compiled 2 070 to 489 computations (76.4% saved)

derivations51.0ms (0.6%)

Memory

4.4MiB live, 49.0MiB allocated; 6ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 314 to 104 computations (66.9% saved)

preprocess91.0ms (1.1%)

Memory: 5.8MiB live, 189.4MiB allocated; 22ms collecting garbage
Compiler: Compiled 351 to 135 computations (61.5% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze47.0ms (0.6%)

sample6.5s (77.6%)

preprocess30.0ms (0.4%)

sample0.0ms (0.0%)

series18.0ms (0.2%)

rewrite264.0ms (3.1%)

eval30.0ms (0.4%)

prune13.0ms (0.2%)

sample0.0ms (0.0%)

series69.0ms (0.8%)

rewrite140.0ms (1.7%)

eval115.0ms (1.4%)

prune31.0ms (0.4%)

sample0.0ms (0.0%)

series66.0ms (0.8%)

rewrite208.0ms (2.5%)

eval120.0ms (1.4%)

prune35.0ms (0.4%)

sample0.0ms (0.0%)

series45.0ms (0.5%)

rewrite118.0ms (1.4%)

eval64.0ms (0.8%)

prune28.0ms (0.3%)

regimes301.0ms (3.6%)

derivations51.0ms (0.6%)

preprocess91.0ms (1.1%)

end0.0ms (0.0%)

Profiling