Metrics for 2cos (problem 3.3.5)

start0.0ms (0%)

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

analyze33.0ms (0.3%)

Memory

-7.1MiB live, 36.4MiB allocated; 5ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50.6%	49.4%	0%	0%	0%	0
0%	0%	50.6%	49.4%	0%	0%	0%	1
0%	0%	50.6%	49.4%	0%	0%	0%	2
0%	0%	25.3%	49.4%	0%	25.3%	0%	3
0%	0%	25.3%	49.4%	0%	25.3%	0%	4
0%	0%	19%	49.4%	0%	31.6%	0%	5
0%	0%	15.8%	49.4%	0%	34.8%	0%	6
0%	0%	11.1%	49.4%	0%	39.5%	0%	7
0%	0%	8.7%	49.4%	0%	41.9%	0%	8
0%	0%	5.9%	49.4%	0%	44.6%	0%	9
0%	0%	4.5%	49.4%	0%	46%	0%	10
0%	0%	3.1%	49.4%	0%	47.5%	0%	11
0%	0%	2.7%	49.4%	0%	47.9%	0%	12

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample6.9s (68%)

Memory

259.1MiB live, 8 517.9MiB allocated; 2.9s collecting garbage

Samples

2.7s	26 341×	0	invalid
2.3s	5 766×	2	valid
353.0ms	2 434×	1	valid
6.0ms	56×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.6s

ival-cos: 2.3s (63.4% of total)

adjust: 362.0ms (10% of total)

ival-fabs: 232.0ms (6.4% of total)

ival-<: 168.0ms (4.7% of total)

ival-add!: 166.0ms (4.6% of total)

ival-sub!: 144.0ms (4% of total)

ival-mult!: 144.0ms (4% of total)

ival-and: 89.0ms (2.5% of total)

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

Bogosity

preprocess40.0ms (0.4%)

Memory

-23.2MiB live, 27.9MiB allocated; 15ms 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
▶	55.0%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 12 to 12 computations (0% saved)

series12.0ms (0.1%)

Memory

25.8MiB live, 25.8MiB allocated; 0ms 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	Expression
1.0ms	eps	@	inf	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) x eps (cos x))
1.0ms	x	@	0	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) x eps (cos x))
1.0ms	eps	@	-inf	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) x eps (cos x))
1.0ms	x	@	-inf	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) x eps (cos x))
1.0ms	eps	@	0	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) x eps (cos x))

rewrite239.0ms (2.4%)

Memory

37.6MiB live, 308.5MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	79	18
2	528	18
3	4941	18
0	8513	18

Stop Event

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

Counts

6 → 251

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

eval39.0ms (0.4%)

Memory: -19.5MiB live, 73.3MiB allocated; 24ms collecting garbage
Compiler: Compiled 3 431 to 1 229 computations (64.2% saved)

prune16.0ms (0.2%)

Memory

-11.8MiB live, 33.5MiB allocated; 6ms collecting garbage

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	266	14	280
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	266	15	281

Accuracy

99.8%

Counts

281 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.2%	(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
	81.1%	(-.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x))) (.f64 (sin.f64 eps) (sin.f64 x)))
▶	55.2%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	55.1%	(-.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x))) (cos.f64 x))
	55.1%	(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 x))))
▶	55.1%	(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))
✓	55.0%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	54.2%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
	55.2%	(.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)))
▶	99.6%	(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
	82.2%	(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 (+.f64 (+.f64 (fabs.f64 x) eps) x) #s(literal 1/2 binary64))) (sin.f64 (.f64 (-.f64 (-.f64 (fabs.f64 x) eps) x) #s(literal 1/2 binary64)))))
	5.7%	(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 eps x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (PI.f64) x) (+.f64 eps x)) #s(literal 2 binary64)))))
▶	54.1%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
▶	99.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
	80.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x))))

Compiler

Compiled 338 to 316 computations (6.5% saved)

series140.0ms (1.4%)

Memory

35.7MiB live, 127.7MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	669	3230

Stop Event

1×	iter-limit

Counts

36 → 151

Calls

Call 1

Inputs
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
#s(literal 1/2 binary64)
(fma.f64 #s(literal 2 binary64) x eps)
#s(literal 2 binary64)
x
eps
(sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))
(-.f64 eps #s(literal 0 binary64))
#s(literal 0 binary64)
#s(literal -2 binary64)
#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)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) x)
(PI.f64)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
(.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))) (sin.f64 x))
(.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x)))
#s(literal -1/2 binary64)
(*.f64 eps (cos.f64 x))
(cos.f64 x)
(sin.f64 x)
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(*.f64 (cos.f64 eps) (cos.f64 x))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(sin.f64 eps)

Outputs
#s(approx (* (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) -2) (.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
#s(approx (* (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) -2) (fma.f64 #s(literal -2 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))
#s(approx (* (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) -2) (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))
#s(approx (* (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) -2) (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))))))
#s(approx (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
#s(approx (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) (fma.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
#s(approx (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
#s(approx (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
#s(approx (sin (* 1/2 (+ (* 2 x) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (sin (* 1/2 (+ (* 2 x) eps))) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (sin (* 1/2 (+ (* 2 x) eps))) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal -1/2 binary64) (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))))
#s(approx (sin (* 1/2 (+ (* 2 x) eps))) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal -1/6 binary64) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) eps))))))))))
#s(approx (* 1/2 (+ (* 2 x) eps)) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (* 1/2 (+ (* 2 x) eps)) (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (+ (* 2 x) eps) eps)
#s(approx (+ (* 2 x) eps) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
#s(approx x x)
#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)) (sin (+ (* 1/2 (PI)) x))) (-.f64 (cos.f64 eps) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (- (cos (+ x eps)) (sin (+ (* 1/2 (PI)) x))) (-.f64 (+.f64 (cos.f64 eps) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 eps))))) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (- (cos (+ x eps)) (sin (+ (* 1/2 (PI)) x))) (-.f64 (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 eps)) (.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 eps))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (- (cos (+ x eps)) (sin (+ (* 1/2 (PI)) x))) (-.f64 (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1/6 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1/6 binary64) (sin.f64 eps)))) (.f64 #s(literal -1/2 binary64) (cos.f64 eps))) (.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 eps))))) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
#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 (sin (+ (* 1/2 (PI)) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (sin (+ (* 1/2 (PI)) x)) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (sin (+ (* 1/2 (PI)) x)) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1/2 binary64) (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))))))
#s(approx (sin (+ (* 1/2 (PI)) x)) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1/6 binary64) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))))))))
#s(approx (+ (* 1/2 (PI)) 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 (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (.f64 eps x) (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 eps x) (.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
#s(approx (* -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) eps)))))
#s(approx (* -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) eps (.f64 #s(literal 1/1440 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (* eps (cos x)) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* eps (cos x)) (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/24 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* eps (cos x)) (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) eps)))))))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (* (cos eps) (cos x)) (+.f64 (cos.f64 eps) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (cos.f64 eps)))))
#s(approx (* (cos eps) (cos x)) (+.f64 (cos.f64 eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cos.f64 eps)))))))
#s(approx (* (cos eps) (cos x)) (+.f64 (cos.f64 eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (cos.f64 eps)) (.f64 #s(literal 1/24 binary64) (cos.f64 eps))))))))
#s(approx (+ (* (sin eps) (sin x)) (cos x)) (+.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps))))
#s(approx (+ (* (sin eps) (sin x)) (cos x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (sin.f64 eps) (.f64 #s(literal -1/2 binary64) x)))))
#s(approx (+ (* (sin eps) (sin x)) (cos x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (sin.f64 eps) (.f64 x (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 x (sin.f64 eps))) #s(literal 1/2 binary64)))))))
#s(approx (* (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) -2) (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))))
#s(approx (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x))))))
#s(approx (sin (* 1/2 (+ (* 2 x) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))))
#s(approx (* 1/2 (+ (* 2 x) eps)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x)))))
#s(approx (+ (* 2 x) eps) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (* 2 x) eps) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (- (cos (+ x eps)) (sin (+ (* 1/2 (PI)) x))) (-.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (cos (+ x eps)) (cos.f64 (+.f64 eps x)))
#s(approx (+ x eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (sin (+ (* 1/2 (PI)) x)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#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 (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))) (sin.f64 x)))
#s(approx (* -1/2 (* eps (cos x))) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))))
#s(approx (* eps (cos x)) (*.f64 eps (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (sin x) (sin.f64 x))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin eps) (sin x)) (cos x))) (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x)))))
#s(approx (* (cos eps) (cos x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
#s(approx (+ (* (sin eps) (sin x)) (cos x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
#s(approx (* (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) -2) (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))))
#s(approx (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x))))))
#s(approx (sin (* 1/2 (+ (* 2 x) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))))
#s(approx (* 1/2 (+ (* 2 x) eps)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (+ (* 2 x) eps) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64)))))
#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)) (sin (+ (* 1/2 (PI)) x))) (-.f64 (cos.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x))) (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -1 binary64) 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 (+ (* 1/2 (PI)) x)) (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal -1 binary64) 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 (* (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) -2) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x))))
#s(approx (* (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) -2) (.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))))))
#s(approx (* (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) -2) (.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -2 binary64) (.f64 eps (fma.f64 #s(literal -1/16 binary64) (sin.f64 x) (.f64 #s(literal -1/48 binary64) (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))))
#s(approx (* (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) -2) (.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal -2 binary64) (fma.f64 #s(literal -1/16 binary64) (sin.f64 x) (.f64 #s(literal -1/48 binary64) (sin.f64 x))) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))))))))))
#s(approx (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) (.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 x))))
#s(approx (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) (.f64 eps (fma.f64 #s(literal 1/4 binary64) (.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
#s(approx (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal 1/4 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/16 binary64) (sin.f64 x) (.f64 #s(literal -1/48 binary64) (sin.f64 x)))))))))
#s(approx (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal 1/4 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/16 binary64) (sin.f64 x) (fma.f64 #s(literal -1/48 binary64) (sin.f64 x) (.f64 #s(literal -1/48 binary64) (*.f64 eps (cos.f64 x)))))))))))
#s(approx (sin (* 1/2 (+ (* 2 x) eps))) (+.f64 (sin.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x)))))
#s(approx (sin (* 1/2 (+ (* 2 x) eps))) (+.f64 (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (.f64 eps (sin.f64 x)) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))))
#s(approx (sin (* 1/2 (+ (* 2 x) eps))) (+.f64 (sin.f64 x) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (sin.f64 x) (.f64 #s(literal -1/48 binary64) (.f64 eps (cos.f64 x)))))))))
#s(approx (sin (* 1/2 (- eps 0))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (sin (* 1/2 (- eps 0))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))))))
#s(approx (sin (* 1/2 (- eps 0))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3840 binary64) (.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/48 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #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 eps) 1) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (- (cos eps) 1) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
#s(approx (- (cos eps) 1) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/40320 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64))))
#s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (cos eps) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos eps) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (sin (+ (* 1/2 (PI)) x))) (-.f64 (cos.f64 x) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (- (cos (+ x eps)) (sin (+ (* 1/2 (PI)) x))) (-.f64 (+.f64 (cos.f64 x) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x)))) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (- (cos (+ x eps)) (sin (+ (* 1/2 (PI)) x))) (-.f64 (+.f64 (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))) (sin.f64 x)))) (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (- (cos (+ x eps)) (sin (+ (* 1/2 (PI)) x))) (-.f64 (+.f64 (cos.f64 x) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x))))) (sin.f64 x)))) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 x) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 x) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x))))) (sin.f64 x)))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))
#s(approx (* (cos eps) (cos x)) (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))))
#s(approx (* (cos eps) (cos x)) (+.f64 (cos.f64 x) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))))))
#s(approx (* (cos eps) (cos x)) (+.f64 (cos.f64 x) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)) (.f64 #s(literal 1/24 binary64) (cos.f64 x))))))))
#s(approx (+ (* (sin eps) (sin x)) (cos x)) (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))
#s(approx (+ (* (sin eps) (sin x)) (cos x)) (+.f64 (cos.f64 x) (.f64 eps (+.f64 (sin.f64 x) (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))))))
#s(approx (+ (* (sin eps) (sin x)) (cos x)) (+.f64 (cos.f64 x) (.f64 eps (+.f64 (sin.f64 x) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/120 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))))))))
#s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (* 1/2 (+ (* 2 x) eps)) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))
#s(approx (+ (* 2 x) eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps)))))
#s(approx (+ x eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
#s(approx (sin eps) (sin.f64 eps))
#s(approx (* (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) -2) (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps)))))))
#s(approx (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))
#s(approx (sin (* 1/2 (+ (* 2 x) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))
#s(approx (* 1/2 (+ (* 2 x) eps)) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))))
#s(approx (+ (* 2 x) eps) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#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)) (sin (+ (* 1/2 (PI)) x))) (-.f64 (cos.f64 (-.f64 x (.f64 #s(literal -1 binary64) eps))) (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (cos (+ x eps)) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))))
#s(approx (+ x eps) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)))))

Calls

6 calls:

Time	Variable		Point	Expression
23.0ms	eps	@	0	((* (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) -2) (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) (sin (* 1/2 (+ (* 2 x) eps))) (* 1/2 (+ (* 2 x) eps)) 1/2 (+ (* 2 x) eps) 2 x eps (sin (* 1/2 (- eps 0))) (* 1/2 (- eps 0)) (- eps 0) 0 -2 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (sin (+ (* 1/2 (PI)) x))) (cos (+ x eps)) (+ x eps) (sin (+ (* 1/2 (PI)) x)) (+ (* 1/2 (PI)) x) (PI) (- (cos (+ x eps)) (cos x)) (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (- (* -1/2 (* eps (cos x))) (sin x)) (* -1/2 (* eps (cos x))) -1/2 (* eps (cos x)) (cos x) (sin x) (- (* (cos eps) (cos x)) (+ (* (sin eps) (sin x)) (cos x))) (* (cos eps) (cos x)) (+ (* (sin eps) (sin x)) (cos x)) (sin eps))
5.0ms	x	@	inf	((* (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) -2) (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) (sin (* 1/2 (+ (* 2 x) eps))) (* 1/2 (+ (* 2 x) eps)) 1/2 (+ (* 2 x) eps) 2 x eps (sin (* 1/2 (- eps 0))) (* 1/2 (- eps 0)) (- eps 0) 0 -2 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (sin (+ (* 1/2 (PI)) x))) (cos (+ x eps)) (+ x eps) (sin (+ (* 1/2 (PI)) x)) (+ (* 1/2 (PI)) x) (PI) (- (cos (+ x eps)) (cos x)) (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (- (* -1/2 (* eps (cos x))) (sin x)) (* -1/2 (* eps (cos x))) -1/2 (* eps (cos x)) (cos x) (sin x) (- (* (cos eps) (cos x)) (+ (* (sin eps) (sin x)) (cos x))) (* (cos eps) (cos x)) (+ (* (sin eps) (sin x)) (cos x)) (sin eps))
5.0ms	eps	@	-inf	((* (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) -2) (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) (sin (* 1/2 (+ (* 2 x) eps))) (* 1/2 (+ (* 2 x) eps)) 1/2 (+ (* 2 x) eps) 2 x eps (sin (* 1/2 (- eps 0))) (* 1/2 (- eps 0)) (- eps 0) 0 -2 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (sin (+ (* 1/2 (PI)) x))) (cos (+ x eps)) (+ x eps) (sin (+ (* 1/2 (PI)) x)) (+ (* 1/2 (PI)) x) (PI) (- (cos (+ x eps)) (cos x)) (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (- (* -1/2 (* eps (cos x))) (sin x)) (* -1/2 (* eps (cos x))) -1/2 (* eps (cos x)) (cos x) (sin x) (- (* (cos eps) (cos x)) (+ (* (sin eps) (sin x)) (cos x))) (* (cos eps) (cos x)) (+ (* (sin eps) (sin x)) (cos x)) (sin eps))
4.0ms	eps	@	inf	((* (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) -2) (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) (sin (* 1/2 (+ (* 2 x) eps))) (* 1/2 (+ (* 2 x) eps)) 1/2 (+ (* 2 x) eps) 2 x eps (sin (* 1/2 (- eps 0))) (* 1/2 (- eps 0)) (- eps 0) 0 -2 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (sin (+ (* 1/2 (PI)) x))) (cos (+ x eps)) (+ x eps) (sin (+ (* 1/2 (PI)) x)) (+ (* 1/2 (PI)) x) (PI) (- (cos (+ x eps)) (cos x)) (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (- (* -1/2 (* eps (cos x))) (sin x)) (* -1/2 (* eps (cos x))) -1/2 (* eps (cos x)) (cos x) (sin x) (- (* (cos eps) (cos x)) (+ (* (sin eps) (sin x)) (cos x))) (* (cos eps) (cos x)) (+ (* (sin eps) (sin x)) (cos x)) (sin eps))
4.0ms	x	@	0	((* (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) -2) (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) (sin (* 1/2 (+ (* 2 x) eps))) (* 1/2 (+ (* 2 x) eps)) 1/2 (+ (* 2 x) eps) 2 x eps (sin (* 1/2 (- eps 0))) (* 1/2 (- eps 0)) (- eps 0) 0 -2 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (sin (+ (* 1/2 (PI)) x))) (cos (+ x eps)) (+ x eps) (sin (+ (* 1/2 (PI)) x)) (+ (* 1/2 (PI)) x) (PI) (- (cos (+ x eps)) (cos x)) (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (- (* -1/2 (* eps (cos x))) (sin x)) (* -1/2 (* eps (cos x))) -1/2 (* eps (cos x)) (cos x) (sin x) (- (* (cos eps) (cos x)) (+ (* (sin eps) (sin x)) (cos x))) (* (cos eps) (cos x)) (+ (* (sin eps) (sin x)) (cos x)) (sin eps))

rewrite266.0ms (2.6%)

Memory

-22.0MiB live, 372.7MiB allocated; 65ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	194
0	69	184
1	335	172
2	1783	172
0	8718	172

Stop Event

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

Counts

36 → 984

Calls

Call 1

Inputs
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
#s(literal 1/2 binary64)
(fma.f64 #s(literal 2 binary64) x eps)
#s(literal 2 binary64)
x
eps
(sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))
(-.f64 eps #s(literal 0 binary64))
#s(literal 0 binary64)
#s(literal -2 binary64)
#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)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) x)
(PI.f64)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
(.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))) (sin.f64 x))
(.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x)))
#s(literal -1/2 binary64)
(*.f64 eps (cos.f64 x))
(cos.f64 x)
(sin.f64 x)
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(*.f64 (cos.f64 eps) (cos.f64 x))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(sin.f64 eps)

Outputs
(.f64 (.f64 #s(literal -2 binary64) (sin.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) (sin.f64 (.f64 eps #s(literal 1/2 binary64))))
(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)) (sin.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)))) #s(literal 1 binary64)))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))))
(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))) #s(literal -2 binary64)))
(.f64 (sin.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)))
(/.f64 (neg.f64 (.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 (-.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)))) #s(literal -2 binary64))) #s(literal -2 binary64))
(/.f64 (.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))))) #s(literal 2 binary64))
(/.f64 (.f64 (-.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)))) #s(literal -2 binary64)) #s(literal 2 binary64))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)) (.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))) #s(literal 2 binary64))) (sin.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x #s(literal 2 binary64) eps) eps) (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(.f64 (-.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)))) #s(literal 1/2 binary64))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))))
(.f64 (sin.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))) #s(literal 2 binary64)) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))) #s(literal 2 binary64)) (fma.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))) #s(literal 2 binary64)) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))) #s(literal 2 binary64)) (.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))) #s(literal 2 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))))) #s(literal 4 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))))) #s(literal -2 binary64))
(/.f64 (-.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))))))
(-.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))) #s(literal 2 binary64)) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))) #s(literal 2 binary64)))
(+.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))) #s(literal 2 binary64)) (/.f64 (neg.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)))) #s(literal 2 binary64)))
(sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))
(fma.f64 (sin.f64 (/.f64 (+.f64 eps x) #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 (+.f64 eps x) #s(literal 2 binary64))) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(fma.f64 (sin.f64 (.f64 #s(literal 1 binary64) x)) (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(fma.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (cos.f64 (.f64 #s(literal 1 binary64) x)) (.f64 (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1 binary64) x))))
(-.f64 (.f64 (sin.f64 (.f64 #s(literal 1 binary64) x)) (cos.f64 (.f64 #s(literal -1/2 binary64) eps))) (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) (sin.f64 (.f64 #s(literal -1/2 binary64) eps))))
(-.f64 (.f64 (sin.f64 (.f64 #s(literal 1 binary64) x)) (cos.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) (sin.f64 (.f64 (neg.f64 eps) #s(literal 1/2 binary64)))))
(-.f64 (.f64 (sin.f64 (.f64 #s(literal 1 binary64) x)) (cos.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) (sin.f64 (neg.f64 (.f64 eps #s(literal 1/2 binary64))))))
(+.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (cos.f64 (.f64 #s(literal 1 binary64) x))) (.f64 (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1 binary64) x))))
(+.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps x) #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 (cos.f64 (/.f64 (+.f64 eps x) #s(literal 2 binary64))) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
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(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 x) (fabs.f64 eps))) (cos.f64 (-.f64 (fabs.f64 x) (fabs.f64 eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 x) eps)) (cos.f64 (-.f64 (fabs.f64 x) eps))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 x (neg.f64 eps))) (cos.f64 (+.f64 eps x))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 x (fabs.f64 eps))) (cos.f64 (-.f64 x (fabs.f64 eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 eps) (fabs.f64 x))) (cos.f64 (-.f64 (neg.f64 eps) (fabs.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 eps) x)) (cos.f64 (+.f64 eps x))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 eps) (neg.f64 x))) (cos.f64 (-.f64 (fabs.f64 eps) (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 eps) (fabs.f64 x))) (cos.f64 (-.f64 (fabs.f64 eps) (fabs.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 eps) x)) (cos.f64 (-.f64 (fabs.f64 eps) x))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 eps (fabs.f64 x))) (cos.f64 (-.f64 eps (fabs.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps))) (cos.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) (cos.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 x) eps)) (cos.f64 (+.f64 eps x))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 (neg.f64 eps) (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x)))))
(-.f64 (/.f64 (cos.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)))
(-.f64 (/.f64 (cos.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(-.f64 (/.f64 (.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (cos.f64 (-.f64 x eps))) #s(literal 2 binary64)))
(-.f64 (/.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)) (/.f64 (neg.f64 (cos.f64 (-.f64 x eps))) #s(literal 2 binary64)))
(+.f64 (/.f64 (cos.f64 (+.f64 (fabs.f64 x) (neg.f64 eps))) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 (fabs.f64 x) (neg.f64 eps))) #s(literal 2 binary64)))
(+.f64 (/.f64 (cos.f64 (+.f64 (fabs.f64 x) (fabs.f64 eps))) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 (fabs.f64 x) (fabs.f64 eps))) #s(literal 2 binary64)))
(+.f64 (/.f64 (cos.f64 (+.f64 (fabs.f64 x) eps)) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 (fabs.f64 x) eps)) #s(literal 2 binary64)))
(+.f64 (/.f64 (cos.f64 (+.f64 x (neg.f64 eps))) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))
(+.f64 (/.f64 (cos.f64 (+.f64 x (fabs.f64 eps))) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 x (fabs.f64 eps))) #s(literal 2 binary64)))
(+.f64 (/.f64 (cos.f64 (+.f64 (neg.f64 eps) (fabs.f64 x))) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 (neg.f64 eps) (fabs.f64 x))) #s(literal 2 binary64)))
(+.f64 (/.f64 (cos.f64 (+.f64 (neg.f64 eps) x)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))
(+.f64 (/.f64 (cos.f64 (+.f64 (fabs.f64 eps) (neg.f64 x))) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 (fabs.f64 eps) (neg.f64 x))) #s(literal 2 binary64)))
(+.f64 (/.f64 (cos.f64 (+.f64 (fabs.f64 eps) (fabs.f64 x))) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 (fabs.f64 eps) (fabs.f64 x))) #s(literal 2 binary64)))
(+.f64 (/.f64 (cos.f64 (+.f64 (fabs.f64 eps) x)) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 (fabs.f64 eps) x)) #s(literal 2 binary64)))
(+.f64 (/.f64 (cos.f64 (+.f64 eps (fabs.f64 x))) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 eps (fabs.f64 x))) #s(literal 2 binary64)))
(+.f64 (/.f64 (cos.f64 (+.f64 (neg.f64 x) (fabs.f64 eps))) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 (neg.f64 x) (fabs.f64 eps))) #s(literal 2 binary64)))
(+.f64 (/.f64 (cos.f64 (+.f64 (neg.f64 x) eps)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))
(+.f64 (/.f64 (cos.f64 (-.f64 x eps)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))
(+.f64 (/.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 (neg.f64 x) (neg.f64 eps))) #s(literal 2 binary64)))
(+.f64 (/.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 (neg.f64 eps) (neg.f64 x))) #s(literal 2 binary64)))
(+.f64 (/.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 x eps)) #s(literal 2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (cos.f64 x))) (cos.f64 x))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x)))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (cos.f64 x) (fma.f64 (.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)) (.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)) (.f64 (cos.f64 x) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (cos.f64 x) (fma.f64 (.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (.f64 (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (.f64 (sin.f64 eps) (sin.f64 x))) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (cos.f64 x) (fma.f64 (neg.f64 (.f64 (sin.f64 eps) (sin.f64 x))) (neg.f64 (.f64 (sin.f64 eps) (sin.f64 x))) (.f64 (cos.f64 x) (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x)))))))
(/.f64 (neg.f64 (fma.f64 (cos.f64 x) #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x))))) #s(literal -2 binary64))
(/.f64 (fma.f64 (cos.f64 x) #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))) (-.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (+.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (neg.f64 (cos.f64 x))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)) (.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (neg.f64 (cos.f64 x))))))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (cos.f64 x)))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)) (-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (cos.f64 x)))))
(neg.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 (/.f64 (-.f64 (-.f64 eps x) (-.f64 (neg.f64 eps) x)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 eps x) (-.f64 (neg.f64 eps) x)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (neg.f64 (neg.f64 (cos.f64 x))))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 (/.f64 (-.f64 (-.f64 eps x) (-.f64 (neg.f64 eps) x)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 eps x) (-.f64 (neg.f64 eps) x)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (cos.f64 x))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 (/.f64 (-.f64 (-.f64 eps x) (fabs.f64 (+.f64 eps x))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 eps x) (fabs.f64 (+.f64 eps x))) #s(literal 2 binary64)))) #s(literal 1 binary64)) (neg.f64 (neg.f64 (cos.f64 x))))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 (/.f64 (-.f64 (-.f64 eps x) (fabs.f64 (+.f64 eps x))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 eps x) (fabs.f64 (+.f64 eps x))) #s(literal 2 binary64)))) #s(literal 1 binary64)) (cos.f64 x))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 (/.f64 (-.f64 (-.f64 eps x) (+.f64 eps x)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 eps x) (+.f64 eps x)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (neg.f64 (neg.f64 (cos.f64 x))))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 (/.f64 (-.f64 (-.f64 eps x) (+.f64 eps x)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 eps x) (+.f64 eps x)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (cos.f64 x))
(fma.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x))) #s(literal 1/2 binary64) (neg.f64 (neg.f64 (cos.f64 x))))
(fma.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x))) #s(literal 1/2 binary64) (cos.f64 x))
(fma.f64 (sin.f64 eps) (sin.f64 (+.f64 #s(literal 0 binary64) x)) (neg.f64 (neg.f64 (cos.f64 x))))
(fma.f64 (sin.f64 eps) (sin.f64 (+.f64 #s(literal 0 binary64) x)) (cos.f64 x))
(fma.f64 (sin.f64 eps) (sin.f64 x) (neg.f64 (neg.f64 (cos.f64 x))))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(fma.f64 (sin.f64 x) (sin.f64 eps) (neg.f64 (neg.f64 (cos.f64 x))))
(fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))
(-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 x) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)))
(-.f64 (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(-.f64 (cos.f64 x) (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x))))
(+.f64 (/.f64 (.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (neg.f64 (neg.f64 (cos.f64 x))))
(+.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 eps) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 eps) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 eps) #s(literal 1 binary64)) (.f64 (sin.f64 eps) #s(literal 1 binary64)) (fma.f64 (.f64 (cos.f64 eps) #s(literal 0 binary64)) (.f64 (cos.f64 eps) #s(literal 0 binary64)) (.f64 (.f64 (sin.f64 eps) #s(literal 1 binary64)) (*.f64 (cos.f64 eps) #s(literal 0 binary64))))))
(neg.f64 (neg.f64 (sin.f64 eps)))
(sin.f64 (+.f64 (neg.f64 eps) (PI.f64)))
(sin.f64 eps)
(fma.f64 (sin.f64 eps) #s(literal 1 binary64) (*.f64 (cos.f64 eps) #s(literal 0 binary64)))
(fma.f64 #s(literal 0 binary64) (cos.f64 eps) (*.f64 #s(literal 1 binary64) (sin.f64 eps)))
(-.f64 (.f64 (sin.f64 eps) #s(literal 1 binary64)) (.f64 (cos.f64 eps) #s(literal 0 binary64)))
(cos.f64 (+.f64 (neg.f64 eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(+.f64 (.f64 #s(literal 0 binary64) (cos.f64 eps)) (.f64 #s(literal 1 binary64) (sin.f64 eps)))
(+.f64 (.f64 (sin.f64 eps) #s(literal 1 binary64)) (.f64 (cos.f64 eps) #s(literal 0 binary64)))

eval183.0ms (1.8%)

Memory: 10.1MiB live, 244.9MiB allocated; 49ms collecting garbage
Compiler: Compiled 12 254 to 4 499 computations (63.3% saved)

prune37.0ms (0.4%)

Memory

4.2MiB live, 95.9MiB allocated; 9ms collecting garbage

Pruning

31 alts after pruning (26 fresh and 5 done)

	Pruned	Kept	Total
New	951	21	972
Fresh	4	5	9
Picked	1	4	5
Done	0	1	1
Total	956	31	987

Accuracy

100.0%

Counts

987 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.2%	(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
	81.1%	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
✓	55.2%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	55.1%	(-.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x))) (cos.f64 x))
✓	55.1%	(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))
▶	55.1%	(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)))
✓	55.0%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
▶	54.2%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
▶	99.7%	(.f64 (.f64 (fma.f64 (sin.f64 (.f64 #s(literal 1 binary64) x)) (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) (sin.f64 (.f64 eps #s(literal 1/2 binary64))))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
	99.6%	(.f64 (.f64 (sin.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
▶	99.6%	(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x x))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
	99.3%	(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(approx (sin ( 1/2 (- eps 0))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))))))) #s(literal -2 binary64))
	99.2%	(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(approx (sin ( 1/2 (- eps 0))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal -2 binary64))
	99.6%	(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps x) x))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
	99.5%	(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ ( 2 x) eps) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
	98.0%	(.f64 #s(approx ( (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) (fma.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) #s(literal -2 binary64))
	82.2%	(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 (+.f64 (+.f64 (fabs.f64 x) eps) x) #s(literal 1/2 binary64))) (sin.f64 (.f64 (-.f64 (-.f64 (fabs.f64 x) eps) x) #s(literal 1/2 binary64)))))
	5.7%	(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 eps x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (PI.f64) x) (+.f64 eps x)) #s(literal 2 binary64)))))
✓	54.1%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
	54.1%	#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)))
✓	99.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
	98.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 #s(approx ( -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))) (sin.f64 x))))
	98.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))))
	97.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))))
	97.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))))
	99.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))))))
▶	55.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))))
	80.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))))
	98.4%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 eps x) (.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))
	97.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (.f64 eps x) (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
	97.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x))))))

Compiler

Compiled 1 001 to 954 computations (4.7% saved)

series136.0ms (1.3%)

Memory

-39.8MiB live, 126.6MiB allocated; 159ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	619	3573

Stop Event

1×	iter-limit

Counts

40 → 142

Calls

Call 1

Inputs
(.f64 (.f64 (fma.f64 (sin.f64 (.f64 #s(literal 1 binary64) x)) (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) (sin.f64 (.f64 eps #s(literal 1/2 binary64))))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(.f64 (fma.f64 (sin.f64 (.f64 #s(literal 1 binary64) x)) (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) (sin.f64 (.f64 eps #s(literal 1/2 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))))
(fma.f64 (sin.f64 (.f64 #s(literal 1 binary64) x)) (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(sin.f64 (*.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(cos.f64 (*.f64 eps #s(literal 1/2 binary64)))
(*.f64 eps #s(literal 1/2 binary64))
eps
#s(literal 1/2 binary64)
(.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(cos.f64 (*.f64 #s(literal 1 binary64) x))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))
(-.f64 eps #s(literal 0 binary64))
#s(literal 0 binary64)
#s(literal -2 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))))
(.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))
(*.f64 #s(literal -1/2 binary64) eps)
#s(literal -1/2 binary64)
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
#s(approx (cos x) #s(literal 1 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)))
(sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x x))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x x)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x x))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x x)
(+.f64 #s(literal 1 binary64) (/.f64 eps x))
(/.f64 eps x)

Outputs
#s(approx (* (* (+ (* (sin (* 1 x)) (cos (* eps 1/2))) (* (cos (* 1 x)) (sin (* eps 1/2)))) (sin (* 1/2 (- eps 0)))) -2) (.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
#s(approx (* (* (+ (* (sin (* 1 x)) (cos (* eps 1/2))) (* (cos (* 1 x)) (sin (* eps 1/2)))) (sin (* 1/2 (- eps 0)))) -2) (fma.f64 #s(literal -2 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))
#s(approx (* (* (+ (* (sin (* 1 x)) (cos (* eps 1/2))) (* (cos (* 1 x)) (sin (* eps 1/2)))) (sin (* 1/2 (- eps 0)))) -2) (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))
#s(approx (* (* (+ (* (sin (* 1 x)) (cos (* eps 1/2))) (* (cos (* 1 x)) (sin (* eps 1/2)))) (sin (* 1/2 (- eps 0)))) -2) (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))))))
#s(approx (* (+ (* (sin (* 1 x)) (cos (* eps 1/2))) (* (cos (* 1 x)) (sin (* eps 1/2)))) (sin (* 1/2 (- eps 0)))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
#s(approx (* (+ (* (sin (* 1 x)) (cos (* eps 1/2))) (* (cos (* 1 x)) (sin (* eps 1/2)))) (sin (* 1/2 (- eps 0)))) (fma.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
#s(approx (* (+ (* (sin (* 1 x)) (cos (* eps 1/2))) (* (cos (* 1 x)) (sin (* eps 1/2)))) (sin (* 1/2 (- eps 0)))) (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
#s(approx (* (+ (* (sin (* 1 x)) (cos (* eps 1/2))) (* (cos (* 1 x)) (sin (* eps 1/2)))) (sin (* 1/2 (- eps 0)))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
#s(approx (+ (* (sin (* 1 x)) (cos (* eps 1/2))) (* (cos (* 1 x)) (sin (* eps 1/2)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (+ (* (sin (* 1 x)) (cos (* eps 1/2))) (* (cos (* 1 x)) (sin (* eps 1/2)))) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (+ (* (sin (* 1 x)) (cos (* eps 1/2))) (* (cos (* 1 x)) (sin (* eps 1/2)))) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal -1/2 binary64) (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))))
#s(approx (+ (* (sin (* 1 x)) (cos (* eps 1/2))) (* (cos (* 1 x)) (sin (* eps 1/2)))) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal -1/6 binary64) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) eps))))))))))
#s(approx (sin (* 1 x)) x)
#s(approx (sin (* 1 x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sin (* 1 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 (* 1 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 (* 1 x)) (sin (* eps 1/2))) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))
#s(approx (* (cos (* 1 x)) (sin (* eps 1/2))) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))))
#s(approx (* (cos (* 1 x)) (sin (* eps 1/2))) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal 1/24 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))))))
#s(approx (cos (* 1 x)) #s(literal 1 binary64))
#s(approx (cos (* 1 x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos (* 1 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 (* 1 x)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (.f64 #s(literal -1 binary64) (.f64 x (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))) (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (.f64 #s(literal 1/6 binary64) (.f64 x (sin.f64 eps)))))) (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (.f64 eps x) (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 eps x) (.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
#s(approx (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 (- (cos (+ x eps)) (sin (- (* (PI) 1/2) x))) (-.f64 (cos.f64 eps) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (- (cos (+ x eps)) (sin (- (* (PI) 1/2) x))) (-.f64 (+.f64 (cos.f64 eps) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sin.f64 eps) (.f64 #s(literal -1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (- (cos (+ x eps)) (sin (- (* (PI) 1/2) x))) (-.f64 (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 eps)) (.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (+.f64 (sin.f64 eps) (.f64 #s(literal -1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))))) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (- (cos (+ x eps)) (sin (- (* (PI) 1/2) x))) (-.f64 (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1/6 binary64) (sin.f64 eps) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (.f64 #s(literal -1/2 binary64) (cos.f64 eps))) (.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (+.f64 (sin.f64 eps) (.f64 #s(literal -1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (sin (- (* (PI) 1/2) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (sin (- (* (PI) 1/2) x)) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1 binary64) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (sin (- (* (PI) 1/2) x)) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 x (fma.f64 #s(literal -1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1/2 binary64) (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))))))
#s(approx (sin (- (* (PI) 1/2) x)) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 x (fma.f64 #s(literal -1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal 1/6 binary64) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))))))))
#s(approx (- (* (PI) 1/2) x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (- (* (PI) 1/2) x) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (* 1/2 (+ (* (+ 1 (/ eps x)) x) x)) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (* 1/2 (+ (* (+ 1 (/ eps x)) x) x)) (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (+ (* (+ 1 (/ eps x)) x) x) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
#s(approx (+ 1 (/ eps x)) (/.f64 eps x))
#s(approx (+ 1 (/ eps x)) (/.f64 (+.f64 eps x) x))
#s(approx (* (* (+ (* (sin (* 1 x)) (cos (* eps 1/2))) (* (cos (* 1 x)) (sin (* eps 1/2)))) (sin (* 1/2 (- eps 0)))) -2) (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (fma.f64 (cos.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x))))))
#s(approx (* (+ (* (sin (* 1 x)) (cos (* eps 1/2))) (* (cos (* 1 x)) (sin (* eps 1/2)))) (sin (* 1/2 (- eps 0)))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (fma.f64 (cos.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)))))
#s(approx (+ (* (sin (* 1 x)) (cos (* eps 1/2))) (* (cos (* 1 x)) (sin (* eps 1/2)))) (fma.f64 (cos.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x))))
#s(approx (sin (* 1 x)) (sin.f64 x))
#s(approx (* (cos (* 1 x)) (sin (* eps 1/2))) (.f64 (cos.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (cos (* 1 x)) (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))) (sin.f64 x)))
#s(approx (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 eps)) (sin (- (* (PI) 1/2) x))) (-.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x))))
#s(approx (sin (- (* (PI) 1/2) x)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x)))
#s(approx (- (* (PI) 1/2) x) (*.f64 #s(literal -1 binary64) x))
#s(approx (- (* (PI) 1/2) x) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x)) #s(literal 1 binary64))))
#s(approx (* (* (sin (* 1/2 (+ (* (+ 1 (/ eps x)) x) x))) (sin (* 1/2 (- eps 0)))) -2) (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))))
#s(approx (* (sin (* 1/2 (+ (* (+ 1 (/ eps x)) x) x))) (sin (* 1/2 (- eps 0)))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x))))))
#s(approx (sin (* 1/2 (+ (* (+ 1 (/ eps x)) x) x))) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))))
#s(approx (* 1/2 (+ (* (+ 1 (/ eps x)) x) x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x)))))
#s(approx (+ (* (+ 1 (/ eps x)) x) x) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (* (+ 1 (/ eps x)) x) x) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
#s(approx (+ 1 (/ eps x)) (+.f64 #s(literal 1 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))))
#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)) (sin (- (* (PI) 1/2) x))) (-.f64 (cos.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x))) (sin.f64 (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (sin (- (* (PI) 1/2) x)) (sin.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (- (* (PI) 1/2) 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 (* (* (sin (* 1/2 (+ (* (+ 1 (/ eps x)) x) x))) (sin (* 1/2 (- eps 0)))) -2) (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))) (.f64 #s(literal -1 binary64) x)))))))
#s(approx (* (sin (* 1/2 (+ (* (+ 1 (/ eps x)) x) x))) (sin (* 1/2 (- eps 0)))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))) (*.f64 #s(literal -1 binary64) x))))))
#s(approx (sin (* 1/2 (+ (* (+ 1 (/ eps x)) x) x))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))) (*.f64 #s(literal -1 binary64) x)))))
#s(approx (* 1/2 (+ (* (+ 1 (/ eps x)) x) x)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (+ (* (+ 1 (/ eps x)) x) x) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64)))))
#s(approx (* (* (+ (* (sin (* 1 x)) (cos (* eps 1/2))) (* (cos (* 1 x)) (sin (* eps 1/2)))) (sin (* 1/2 (- eps 0)))) -2) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x))))
#s(approx (* (* (+ (* (sin (* 1 x)) (cos (* eps 1/2))) (* (cos (* 1 x)) (sin (* eps 1/2)))) (sin (* 1/2 (- eps 0)))) -2) (.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))))))
#s(approx (* (* (+ (* (sin (* 1 x)) (cos (* eps 1/2))) (* (cos (* 1 x)) (sin (* eps 1/2)))) (sin (* 1/2 (- eps 0)))) -2) (.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -2 binary64) (.f64 eps (fma.f64 #s(literal -1/16 binary64) (sin.f64 x) (.f64 #s(literal -1/48 binary64) (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))))
#s(approx (* (* (+ (* (sin (* 1 x)) (cos (* eps 1/2))) (* (cos (* 1 x)) (sin (* eps 1/2)))) (sin (* 1/2 (- eps 0)))) -2) (.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal -2 binary64) (fma.f64 #s(literal -1/16 binary64) (sin.f64 x) (.f64 #s(literal -1/48 binary64) (sin.f64 x))) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))))))))))
#s(approx (* (+ (* (sin (* 1 x)) (cos (* eps 1/2))) (* (cos (* 1 x)) (sin (* eps 1/2)))) (sin (* 1/2 (- eps 0)))) (.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 x))))
#s(approx (* (+ (* (sin (* 1 x)) (cos (* eps 1/2))) (* (cos (* 1 x)) (sin (* eps 1/2)))) (sin (* 1/2 (- eps 0)))) (.f64 eps (fma.f64 #s(literal 1/4 binary64) (.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
#s(approx (* (+ (* (sin (* 1 x)) (cos (* eps 1/2))) (* (cos (* 1 x)) (sin (* eps 1/2)))) (sin (* 1/2 (- eps 0)))) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal 1/4 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/16 binary64) (sin.f64 x) (.f64 #s(literal -1/48 binary64) (sin.f64 x)))))))))
#s(approx (* (+ (* (sin (* 1 x)) (cos (* eps 1/2))) (* (cos (* 1 x)) (sin (* eps 1/2)))) (sin (* 1/2 (- eps 0)))) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal 1/4 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/16 binary64) (sin.f64 x) (fma.f64 #s(literal -1/48 binary64) (sin.f64 x) (.f64 #s(literal -1/48 binary64) (*.f64 eps (cos.f64 x)))))))))))
#s(approx (+ (* (sin (* 1 x)) (cos (* eps 1/2))) (* (cos (* 1 x)) (sin (* eps 1/2)))) (+.f64 (sin.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x)))))
#s(approx (+ (* (sin (* 1 x)) (cos (* eps 1/2))) (* (cos (* 1 x)) (sin (* eps 1/2)))) (+.f64 (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (.f64 eps (sin.f64 x)) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))))
#s(approx (+ (* (sin (* 1 x)) (cos (* eps 1/2))) (* (cos (* 1 x)) (sin (* eps 1/2)))) (+.f64 (sin.f64 x) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (sin.f64 x) (.f64 #s(literal -1/48 binary64) (.f64 eps (cos.f64 x)))))))))
#s(approx (cos (* eps 1/2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (cos (* eps 1/2)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/384 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/8 binary64)))))
#s(approx (cos (* eps 1/2)) (+.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 1/384 binary64) (*.f64 #s(literal -1/46080 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/8 binary64)))))
#s(approx (* (cos (* 1 x)) (sin (* eps 1/2))) (.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x))))
#s(approx (* (cos (* 1 x)) (sin (* eps 1/2))) (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))))
#s(approx (* (cos (* 1 x)) (sin (* eps 1/2))) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) (cos.f64 x) (.f64 #s(literal 1/3840 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))))))
#s(approx (* (cos (* 1 x)) (sin (* eps 1/2))) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) (cos.f64 x) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/645120 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)) (*.f64 #s(literal 1/3840 binary64) (cos.f64 x)))))))))
#s(approx (sin (* eps 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (sin (* eps 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))))))
#s(approx (sin (* eps 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3840 binary64) (.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/48 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #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 (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 #s(literal -1 binary64) (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 (- (cos (+ x eps)) (sin (- (* (PI) 1/2) x))) (-.f64 (cos.f64 x) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x))))
#s(approx (- (cos (+ x eps)) (sin (- (* (PI) 1/2) x))) (-.f64 (+.f64 (cos.f64 x) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x)))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x))))
#s(approx (- (cos (+ x eps)) (sin (- (* (PI) 1/2) x))) (-.f64 (+.f64 (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))) (sin.f64 x)))) (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x))))
#s(approx (- (cos (+ x eps)) (sin (- (* (PI) 1/2) x))) (-.f64 (+.f64 (cos.f64 x) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x))))) (sin.f64 x)))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x))))
#s(approx (cos (* eps 1/2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
#s(approx (+ x eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (* (* (sin (* 1/2 (+ (* (+ 1 (/ eps x)) x) x))) (sin (* 1/2 (- eps 0)))) -2) (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))))))))
#s(approx (* (sin (* 1/2 (+ (* (+ 1 (/ eps x)) x) x))) (sin (* 1/2 (- eps 0)))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))))))
#s(approx (sin (* 1/2 (+ (* (+ 1 (/ eps x)) x) x))) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))))))
#s(approx (* 1/2 (+ (* (+ 1 (/ eps x)) x) x)) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))
#s(approx (+ (* (+ 1 (/ eps x)) x) x) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps)))))
#s(approx (+ 1 (/ eps x)) (*.f64 eps (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x)))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)))))
#s(approx (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 (- (cos (+ x eps)) (sin (- (* (PI) 1/2) x))) (-.f64 (cos.f64 (-.f64 x (.f64 #s(literal -1 binary64) eps))) (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x))))
#s(approx (* (* (sin (* 1/2 (+ (* (+ 1 (/ eps x)) x) x))) (sin (* 1/2 (- eps 0)))) -2) (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 eps x))))))))))
#s(approx (* (sin (* 1/2 (+ (* (+ 1 (/ eps x)) x) x))) (sin (* 1/2 (- eps 0)))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 eps x)))))))))
#s(approx (sin (* 1/2 (+ (* (+ 1 (/ eps x)) x) x))) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 eps x))))))))
#s(approx (* 1/2 (+ (* (+ 1 (/ eps x)) x) x)) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))))
#s(approx (+ (* (+ 1 (/ eps x)) x) x) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))

Calls

6 calls:

Time	Variable		Point	Expression
87.0ms	eps	@	inf	((* (* (+ (* (sin (* 1 x)) (cos (* eps 1/2))) (* (cos (* 1 x)) (sin (* eps 1/2)))) (sin (* 1/2 (- eps 0)))) -2) (* (+ (* (sin (* 1 x)) (cos (* eps 1/2))) (* (cos (* 1 x)) (sin (* eps 1/2)))) (sin (* 1/2 (- eps 0)))) (+ (* (sin (* 1 x)) (cos (* eps 1/2))) (* (cos (* 1 x)) (sin (* eps 1/2)))) (sin (* 1 x)) (* 1 x) 1 x (cos (* eps 1/2)) (* eps 1/2) eps 1/2 (* (cos (* 1 x)) (sin (* eps 1/2))) (cos (* 1 x)) (sin (* eps 1/2)) (sin (* 1/2 (- eps 0))) (* 1/2 (- eps 0)) (- eps 0) 0 -2 (- (cos (+ x eps)) (cos x)) (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (- (* -1/2 (* eps (cos x))) (sin x)) (* -1/2 eps) -1/2 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (- (cos (+ x eps)) (sin (- (* (PI) 1/2) x))) (sin (- (* (PI) 1/2) x)) (- (* (PI) 1/2) x) (* (PI) 1/2) (PI) (* (* (sin (* 1/2 (+ (* (+ 1 (/ eps x)) x) x))) (sin (* 1/2 (- eps 0)))) -2) (* (sin (* 1/2 (+ (* (+ 1 (/ eps x)) x) x))) (sin (* 1/2 (- eps 0)))) (sin (* 1/2 (+ (* (+ 1 (/ eps x)) x) x))) (* 1/2 (+ (* (+ 1 (/ eps x)) x) x)) (+ (* (+ 1 (/ eps x)) x) x) (+ 1 (/ eps x)) (/ eps x))
7.0ms	x	@	inf	((* (* (+ (* (sin (* 1 x)) (cos (* eps 1/2))) (* (cos (* 1 x)) (sin (* eps 1/2)))) (sin (* 1/2 (- eps 0)))) -2) (* (+ (* (sin (* 1 x)) (cos (* eps 1/2))) (* (cos (* 1 x)) (sin (* eps 1/2)))) (sin (* 1/2 (- eps 0)))) (+ (* (sin (* 1 x)) (cos (* eps 1/2))) (* (cos (* 1 x)) (sin (* eps 1/2)))) (sin (* 1 x)) (* 1 x) 1 x (cos (* eps 1/2)) (* eps 1/2) eps 1/2 (* (cos (* 1 x)) (sin (* eps 1/2))) (cos (* 1 x)) (sin (* eps 1/2)) (sin (* 1/2 (- eps 0))) (* 1/2 (- eps 0)) (- eps 0) 0 -2 (- (cos (+ x eps)) (cos x)) (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (- (* -1/2 (* eps (cos x))) (sin x)) (* -1/2 eps) -1/2 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (- (cos (+ x eps)) (sin (- (* (PI) 1/2) x))) (sin (- (* (PI) 1/2) x)) (- (* (PI) 1/2) x) (* (PI) 1/2) (PI) (* (* (sin (* 1/2 (+ (* (+ 1 (/ eps x)) x) x))) (sin (* 1/2 (- eps 0)))) -2) (* (sin (* 1/2 (+ (* (+ 1 (/ eps x)) x) x))) (sin (* 1/2 (- eps 0)))) (sin (* 1/2 (+ (* (+ 1 (/ eps x)) x) x))) (* 1/2 (+ (* (+ 1 (/ eps x)) x) x)) (+ (* (+ 1 (/ eps x)) x) x) (+ 1 (/ eps x)) (/ eps x))
5.0ms	eps	@	-inf	((* (* (+ (* (sin (* 1 x)) (cos (* eps 1/2))) (* (cos (* 1 x)) (sin (* eps 1/2)))) (sin (* 1/2 (- eps 0)))) -2) (* (+ (* (sin (* 1 x)) (cos (* eps 1/2))) (* (cos (* 1 x)) (sin (* eps 1/2)))) (sin (* 1/2 (- eps 0)))) (+ (* (sin (* 1 x)) (cos (* eps 1/2))) (* (cos (* 1 x)) (sin (* eps 1/2)))) (sin (* 1 x)) (* 1 x) 1 x (cos (* eps 1/2)) (* eps 1/2) eps 1/2 (* (cos (* 1 x)) (sin (* eps 1/2))) (cos (* 1 x)) (sin (* eps 1/2)) (sin (* 1/2 (- eps 0))) (* 1/2 (- eps 0)) (- eps 0) 0 -2 (- (cos (+ x eps)) (cos x)) (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (- (* -1/2 (* eps (cos x))) (sin x)) (* -1/2 eps) -1/2 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (- (cos (+ x eps)) (sin (- (* (PI) 1/2) x))) (sin (- (* (PI) 1/2) x)) (- (* (PI) 1/2) x) (* (PI) 1/2) (PI) (* (* (sin (* 1/2 (+ (* (+ 1 (/ eps x)) x) x))) (sin (* 1/2 (- eps 0)))) -2) (* (sin (* 1/2 (+ (* (+ 1 (/ eps x)) x) x))) (sin (* 1/2 (- eps 0)))) (sin (* 1/2 (+ (* (+ 1 (/ eps x)) x) x))) (* 1/2 (+ (* (+ 1 (/ eps x)) x) x)) (+ (* (+ 1 (/ eps x)) x) x) (+ 1 (/ eps x)) (/ eps x))
5.0ms	x	@	-inf	((* (* (+ (* (sin (* 1 x)) (cos (* eps 1/2))) (* (cos (* 1 x)) (sin (* eps 1/2)))) (sin (* 1/2 (- eps 0)))) -2) (* (+ (* (sin (* 1 x)) (cos (* eps 1/2))) (* (cos (* 1 x)) (sin (* eps 1/2)))) (sin (* 1/2 (- eps 0)))) (+ (* (sin (* 1 x)) (cos (* eps 1/2))) (* (cos (* 1 x)) (sin (* eps 1/2)))) (sin (* 1 x)) (* 1 x) 1 x (cos (* eps 1/2)) (* eps 1/2) eps 1/2 (* (cos (* 1 x)) (sin (* eps 1/2))) (cos (* 1 x)) (sin (* eps 1/2)) (sin (* 1/2 (- eps 0))) (* 1/2 (- eps 0)) (- eps 0) 0 -2 (- (cos (+ x eps)) (cos x)) (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (- (* -1/2 (* eps (cos x))) (sin x)) (* -1/2 eps) -1/2 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (- (cos (+ x eps)) (sin (- (* (PI) 1/2) x))) (sin (- (* (PI) 1/2) x)) (- (* (PI) 1/2) x) (* (PI) 1/2) (PI) (* (* (sin (* 1/2 (+ (* (+ 1 (/ eps x)) x) x))) (sin (* 1/2 (- eps 0)))) -2) (* (sin (* 1/2 (+ (* (+ 1 (/ eps x)) x) x))) (sin (* 1/2 (- eps 0)))) (sin (* 1/2 (+ (* (+ 1 (/ eps x)) x) x))) (* 1/2 (+ (* (+ 1 (/ eps x)) x) x)) (+ (* (+ 1 (/ eps x)) x) x) (+ 1 (/ eps x)) (/ eps x))
3.0ms	x	@	0	((* (* (+ (* (sin (* 1 x)) (cos (* eps 1/2))) (* (cos (* 1 x)) (sin (* eps 1/2)))) (sin (* 1/2 (- eps 0)))) -2) (* (+ (* (sin (* 1 x)) (cos (* eps 1/2))) (* (cos (* 1 x)) (sin (* eps 1/2)))) (sin (* 1/2 (- eps 0)))) (+ (* (sin (* 1 x)) (cos (* eps 1/2))) (* (cos (* 1 x)) (sin (* eps 1/2)))) (sin (* 1 x)) (* 1 x) 1 x (cos (* eps 1/2)) (* eps 1/2) eps 1/2 (* (cos (* 1 x)) (sin (* eps 1/2))) (cos (* 1 x)) (sin (* eps 1/2)) (sin (* 1/2 (- eps 0))) (* 1/2 (- eps 0)) (- eps 0) 0 -2 (- (cos (+ x eps)) (cos x)) (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (- (* -1/2 (* eps (cos x))) (sin x)) (* -1/2 eps) -1/2 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (- (cos (+ x eps)) (sin (- (* (PI) 1/2) x))) (sin (- (* (PI) 1/2) x)) (- (* (PI) 1/2) x) (* (PI) 1/2) (PI) (* (* (sin (* 1/2 (+ (* (+ 1 (/ eps x)) x) x))) (sin (* 1/2 (- eps 0)))) -2) (* (sin (* 1/2 (+ (* (+ 1 (/ eps x)) x) x))) (sin (* 1/2 (- eps 0)))) (sin (* 1/2 (+ (* (+ 1 (/ eps x)) x) x))) (* 1/2 (+ (* (+ 1 (/ eps x)) x) x)) (+ (* (+ 1 (/ eps x)) x) x) (+ 1 (/ eps x)) (/ eps x))

rewrite321.0ms (3.2%)

Memory

41.9MiB live, 451.1MiB allocated; 68ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	297
0	80	220
1	390	216
2	1881	216
0	8893	213

Stop Event

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

Counts

40 → 1 077

Calls

Call 1

Inputs
(.f64 (.f64 (fma.f64 (sin.f64 (.f64 #s(literal 1 binary64) x)) (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) (sin.f64 (.f64 eps #s(literal 1/2 binary64))))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(.f64 (fma.f64 (sin.f64 (.f64 #s(literal 1 binary64) x)) (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) (sin.f64 (.f64 eps #s(literal 1/2 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))))
(fma.f64 (sin.f64 (.f64 #s(literal 1 binary64) x)) (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(sin.f64 (*.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(cos.f64 (*.f64 eps #s(literal 1/2 binary64)))
(*.f64 eps #s(literal 1/2 binary64))
eps
#s(literal 1/2 binary64)
(.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(cos.f64 (*.f64 #s(literal 1 binary64) x))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))
(-.f64 eps #s(literal 0 binary64))
#s(literal 0 binary64)
#s(literal -2 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))))
(.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))
(*.f64 #s(literal -1/2 binary64) eps)
#s(literal -1/2 binary64)
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
#s(approx (cos x) #s(literal 1 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)))
(sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x x))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x x)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x x))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x x)
(+.f64 #s(literal 1 binary64) (/.f64 eps x))
(/.f64 eps x)

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

eval270.0ms (2.7%)

Memory: -35.0MiB live, 310.5MiB allocated; 67ms collecting garbage
Compiler: Compiled 16 479 to 6 519 computations (60.4% saved)

prune43.0ms (0.4%)

Memory

25.3MiB live, 117.4MiB allocated; 10ms collecting garbage

Pruning

34 alts after pruning (26 fresh and 8 done)

	Pruned	Kept	Total
New	1 275	11	1 286
Fresh	6	15	21
Picked	2	3	5
Done	0	5	5
Total	1 283	34	1 317

Accuracy

100.0%

Counts

1 317 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.2%	(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
	81.1%	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
✓	55.2%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
▶	54.2%	(-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) #s(approx (cos x) #s(literal 1 binary64)))
	55.1%	(-.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x))) (cos.f64 x))
✓	55.1%	(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))
✓	55.1%	(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)))
✓	55.0%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	54.2%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
▶	99.9%	(.f64 (fma.f64 (.f64 (sin.f64 x) (cos.f64 (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (.f64 (cos.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) #s(literal -2 binary64))
	99.7%	(.f64 (.f64 (fma.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (cos.f64 x) (sin.f64 (.f64 eps #s(literal 1/2 binary64))))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
	99.6%	(.f64 (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64))
	99.5%	(.f64 (.f64 (sin.f64 (.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
	99.6%	(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 eps x) #s(literal -1 binary64)) x x))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
	99.2%	(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(approx (sin ( 1/2 (- eps 0))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal -2 binary64))
▶	99.6%	(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
	13.3%	(.f64 (.f64 (neg.f64 (cos.f64 (+.f64 x (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
	98.0%	(.f64 #s(approx ( (+ (* (sin (* 1 x)) (cos (* eps 1/2))) (* (cos (* 1 x)) (sin (* eps 1/2)))) (sin (* 1/2 (- eps 0)))) (fma.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) #s(literal -2 binary64))
	99.7%	(.f64 #s(approx ( (+ (* (sin (* 1 x)) (cos (* eps 1/2))) (* (cos (* 1 x)) (sin (* eps 1/2)))) (sin (* 1/2 (- eps 0)))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (fma.f64 (cos.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x))))) #s(literal -2 binary64))
	99.6%	(.f64 #s(approx ( (sin (* 1/2 (+ (* (+ 1 (/ eps x)) x) x))) (sin (* 1/2 (- eps 0)))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))))))) #s(literal -2 binary64))
▶	5.7%	(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 eps x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (PI.f64) x) (+.f64 eps x)) #s(literal 2 binary64)))))
✓	54.1%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
	54.1%	#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)))
✓	99.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
	98.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 #s(approx ( -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))) (sin.f64 x))))
	98.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))))
	97.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))))
▶	97.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))))
	99.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))))))
✓	55.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))))
	80.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))))
	98.4%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 eps x) (.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))
	97.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (.f64 eps x) (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
	97.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x))))))

Compiler

Compiled 1 098 to 1 036 computations (5.6% saved)

series106.0ms (1.1%)

Memory

-23.6MiB live, 211.8MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1011	6414

Stop Event

1×	iter-limit

Counts

43 → 224

Calls

Call 1

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

Outputs
#s(approx (* (+ (* (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) -2) (.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
#s(approx (* (+ (* (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) -2) (fma.f64 #s(literal -2 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))
#s(approx (* (+ (* (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) -2) (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))
#s(approx (* (+ (* (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) -2) (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))))))
#s(approx (+ (* (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
#s(approx (+ (* (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) (fma.f64 x (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
#s(approx (+ (* (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
#s(approx (+ (* (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
#s(approx (* (sin x) (cos (* -1/2 eps))) (.f64 x (cos.f64 (.f64 #s(literal -1/2 binary64) eps))))
#s(approx (* (sin x) (cos (* -1/2 eps))) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)))))))
#s(approx (* (sin x) (cos (* -1/2 eps))) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 #s(literal 1/120 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)))))))))
#s(approx (* (sin x) (cos (* -1/2 eps))) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) eps))) (.f64 #s(literal 1/120 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps))))))))))
#s(approx (sin x) x)
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps))) (fma.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
#s(approx (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
#s(approx (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
#s(approx (* (cos x) (sin (* 1/2 eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (* (cos x) (sin (* 1/2 eps))) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))
#s(approx (* (cos x) (sin (* 1/2 eps))) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))))
#s(approx (* (cos x) (sin (* 1/2 eps))) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal 1/24 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))))))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (.f64 #s(literal -1 binary64) (.f64 x (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))) (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (.f64 #s(literal 1/6 binary64) (.f64 x (sin.f64 eps)))))) (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (.f64 eps x) (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 eps x) (.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
#s(approx (- (sin (+ (* (PI) 1/2) (+ eps x))) (cos x)) (-.f64 (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 1 binary64)))
#s(approx (- (sin (+ (* (PI) 1/2) (+ eps x))) (cos x)) (-.f64 (+.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 x (cos.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) #s(literal 1 binary64)))
#s(approx (- (sin (+ (* (PI) 1/2) (+ eps x))) (cos x)) (-.f64 (+.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 x (+.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))))))))) #s(literal 1 binary64)))
#s(approx (- (sin (+ (* (PI) 1/2) (+ eps x))) (cos x)) (-.f64 (+.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 x (+.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal -1/6 binary64) (.f64 x (cos.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))))))))))) #s(literal 1 binary64)))
#s(approx (sin (+ (* (PI) 1/2) (+ eps x))) (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (sin (+ (* (PI) 1/2) (+ eps x))) (+.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 x (cos.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (sin (+ (* (PI) 1/2) (+ eps x))) (+.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 x (+.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal -1/2 binary64) (.f64 x (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64))))))))))
#s(approx (sin (+ (* (PI) 1/2) (+ eps x))) (+.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 x (+.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal -1/6 binary64) (.f64 x (cos.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64))))))))))))
#s(approx (+ (* (PI) 1/2) (+ eps x)) (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (+ (* (PI) 1/2) (+ eps x)) (+.f64 eps (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ eps x) eps)
#s(approx (+ eps x) (+.f64 eps x))
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (fma.f64 #s(literal -2 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))))))
#s(approx (sin (* (+ (+ eps x) x) 1/2)) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (sin (* (+ (+ eps x) x) 1/2)) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal -1/2 binary64) (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))))
#s(approx (sin (* (+ (+ eps x) x) 1/2)) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal -1/6 binary64) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) eps))))))))))
#s(approx (* (+ (+ eps x) x) 1/2) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (* (+ (+ eps x) x) 1/2) (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (+ (+ eps x) x) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
#s(approx (* 2 (* (cos (/ (+ (+ (PI) x) (+ eps x)) 2)) (cos (/ (- (+ (PI) x) (+ eps x)) 2)))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))))))
#s(approx (* 2 (* (cos (/ (+ (+ (PI) x) (+ eps x)) 2)) (cos (/ (- (+ (PI) x) (+ eps x)) 2)))) (fma.f64 #s(literal -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) (+.f64 eps (PI.f64)))))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps)))))))
#s(approx (* 2 (* (cos (/ (+ (+ (PI) x) (+ eps x)) 2)) (cos (/ (- (+ (PI) x) (+ eps x)) 2)))) (fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps)))) (.f64 x (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) (+.f64 eps (PI.f64))))) (.f64 #s(literal -1 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))))))))))
#s(approx (* 2 (* (cos (/ (+ (+ (PI) x) (+ eps x)) 2)) (cos (/ (- (+ (PI) x) (+ eps x)) 2)))) (fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps)))) (.f64 x (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) (+.f64 eps (PI.f64))))) (.f64 x (fma.f64 #s(literal -1 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps)))) (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))))))))))
#s(approx (* (cos (/ (+ (+ (PI) x) (+ eps x)) 2)) (cos (/ (- (+ (PI) x) (+ eps x)) 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps)))))
#s(approx (* (cos (/ (+ (+ (PI) x) (+ eps x)) 2)) (cos (/ (- (+ (PI) x) (+ eps x)) 2))) (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) (+.f64 eps (PI.f64)))))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))))))
#s(approx (* (cos (/ (+ (+ (PI) x) (+ eps x)) 2)) (cos (/ (- (+ (PI) x) (+ eps x)) 2))) (fma.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) (+.f64 eps (PI.f64))))) (.f64 #s(literal -1/2 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))))))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))))))
#s(approx (* (cos (/ (+ (+ (PI) x) (+ eps x)) 2)) (cos (/ (- (+ (PI) x) (+ eps x)) 2))) (fma.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) (+.f64 eps (PI.f64))))) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps)))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))))))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))))))
#s(approx (cos (/ (+ (+ (PI) x) (+ eps x)) 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))
#s(approx (cos (/ (+ (+ (PI) x) (+ eps x)) 2)) (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (.f64 #s(literal -1 binary64) (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))))))
#s(approx (cos (/ (+ (+ (PI) x) (+ eps x)) 2)) (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))))))
#s(approx (cos (/ (+ (+ (PI) x) (+ eps x)) 2)) (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (.f64 #s(literal 1/6 binary64) (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))))) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))))))
#s(approx (/ (+ (+ (PI) x) (+ eps x)) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))
#s(approx (/ (+ (+ (PI) x) (+ eps x)) 2) (+.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))
#s(approx (+ (+ (PI) x) (+ eps x)) (+.f64 eps (PI.f64)))
#s(approx (+ (+ (PI) x) (+ eps x)) (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) x))))
#s(approx (+ (PI) x) (PI.f64))
#s(approx (+ (PI) x) (+.f64 x (PI.f64)))
#s(approx (cos (/ (- (+ (PI) x) (+ eps x)) 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))))
#s(approx (/ (- (+ (PI) x) (+ eps x)) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps)))
#s(approx (- (+ (PI) x) (+ eps x)) (-.f64 (PI.f64) eps))
#s(approx (* (+ (* (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) -2) (.f64 #s(literal -2 binary64) (fma.f64 (cos.f64 x) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))))
#s(approx (+ (* (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) (fma.f64 (cos.f64 x) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
#s(approx (* (sin x) (cos (* -1/2 eps))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x)))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps))) (.f64 (cos.f64 x) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
#s(approx (* (cos x) (sin (* 1/2 eps))) (.f64 (cos.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (cos x) (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))) (sin.f64 x)))
#s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) x))
#s(approx (+ (* -1 x) (* -1/2 eps)) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
#s(approx (- (sin (+ (* (PI) 1/2) (+ eps x))) (cos x)) (-.f64 (sin.f64 (+.f64 eps (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (cos.f64 x)))
#s(approx (sin (+ (* (PI) 1/2) (+ eps x))) (sin.f64 (+.f64 eps (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (+ (* (PI) 1/2) (+ eps x)) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (/.f64 eps x)))))
#s(approx (+ eps x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))))
#s(approx (sin (* (+ (+ eps x) x) 1/2)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))))
#s(approx (* (+ (+ eps x) x) 1/2) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x)))))
#s(approx (+ (+ eps x) x) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (+ eps x) x) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
#s(approx (* 2 (* (cos (/ (+ (+ (PI) x) (+ eps x)) 2)) (cos (/ (- (+ (PI) x) (+ eps x)) 2)))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))))))
#s(approx (* (cos (/ (+ (+ (PI) x) (+ eps x)) 2)) (cos (/ (- (+ (PI) x) (+ eps x)) 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps)))))
#s(approx (cos (/ (+ (+ (PI) x) (+ eps x)) 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))))
#s(approx (/ (+ (+ (PI) x) (+ eps x)) 2) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 eps (PI.f64)) x)))))
#s(approx (+ (+ (PI) x) (+ eps x)) (*.f64 x (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 eps x) (/.f64 (PI.f64) x)))))
#s(approx (+ (PI) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (PI.f64) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 x)))
#s(approx (+ (* -1 x) (* -1/2 eps)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))))
#s(approx (- (sin (+ (* (PI) 1/2) (+ eps x))) (cos x)) (-.f64 (sin.f64 (-.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1 binary64) x))) (cos.f64 x)))
#s(approx (sin (+ (* (PI) 1/2) (+ eps x))) (sin.f64 (-.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1 binary64) x))))
#s(approx (+ (* (PI) 1/2) (+ eps x)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64))) x)) #s(literal 1 binary64)))))
#s(approx (+ eps x) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))))
#s(approx (sin (* (+ (+ eps x) x) 1/2)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))))
#s(approx (* (+ (+ eps x) x) 1/2) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (+ (+ eps x) x) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64)))))
#s(approx (* 2 (* (cos (/ (+ (+ (PI) x) (+ eps x)) 2)) (cos (/ (- (+ (PI) x) (+ eps x)) 2)))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 eps (PI.f64)) (*.f64 #s(literal -2 binary64) x)))))))
#s(approx (* (cos (/ (+ (+ (PI) x) (+ eps x)) 2)) (cos (/ (- (+ (PI) x) (+ eps x)) 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 eps (PI.f64)) (.f64 #s(literal -2 binary64) x))))))
#s(approx (cos (/ (+ (+ (PI) x) (+ eps x)) 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 eps (PI.f64)) (.f64 #s(literal -2 binary64) x)))))
#s(approx (/ (+ (+ (PI) x) (+ eps x)) 2) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 eps (PI.f64)) x)) #s(literal 1 binary64)))))
#s(approx (+ (+ (PI) x) (+ eps x)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 eps (PI.f64)) x)) #s(literal 2 binary64)))))
#s(approx (+ (PI) x) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) x)) #s(literal 1 binary64)))))
#s(approx (* (+ (* (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) -2) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x))))
#s(approx (* (+ (* (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) -2) (.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))))))
#s(approx (* (+ (* (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) -2) (.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -2 binary64) (.f64 eps (fma.f64 #s(literal -1/16 binary64) (sin.f64 x) (.f64 #s(literal -1/48 binary64) (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))))
#s(approx (* (+ (* (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) -2) (.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal -2 binary64) (fma.f64 #s(literal -1/16 binary64) (sin.f64 x) (.f64 #s(literal -1/48 binary64) (sin.f64 x))) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))))))))))
#s(approx (+ (* (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) (.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 x))))
#s(approx (+ (* (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) (.f64 eps (fma.f64 #s(literal 1/4 binary64) (.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
#s(approx (+ (* (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal 1/4 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/16 binary64) (sin.f64 x) (.f64 #s(literal -1/48 binary64) (sin.f64 x)))))))))
#s(approx (+ (* (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal 1/4 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/16 binary64) (sin.f64 x) (fma.f64 #s(literal -1/48 binary64) (sin.f64 x) (.f64 #s(literal -1/48 binary64) (*.f64 eps (cos.f64 x)))))))))))
#s(approx (* (sin x) (cos (* -1/2 eps))) (+.f64 (sin.f64 x) (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))))
#s(approx (* (sin x) (cos (* -1/2 eps))) (+.f64 (sin.f64 x) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (sin.f64 x) (.f64 #s(literal 1/384 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))))))
#s(approx (* (sin x) (cos (* -1/2 eps))) (+.f64 (sin.f64 x) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (sin.f64 x) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/46080 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)) (.f64 #s(literal 1/384 binary64) (sin.f64 x))))))))
#s(approx (cos (* -1/2 eps)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (cos (* -1/2 eps)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/384 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/8 binary64)))))
#s(approx (cos (* -1/2 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 1/384 binary64) (*.f64 #s(literal -1/46080 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/8 binary64)))))
#s(approx (sin (* 1/2 eps)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (sin (* 1/2 eps)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))))))
#s(approx (sin (* 1/2 eps)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3840 binary64) (.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/48 binary64))))))
#s(approx (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps))) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))
#s(approx (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)) (*.f64 #s(literal 1/4 binary64) (cos.f64 x)))))
#s(approx (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (cos.f64 x) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) (cos.f64 x) (.f64 #s(literal 1/1440 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))))))
#s(approx (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (cos.f64 x) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) (cos.f64 x) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/80640 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)) (*.f64 #s(literal 1/1440 binary64) (cos.f64 x)))))))))
#s(approx (* (cos x) (sin (* 1/2 eps))) (.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x))))
#s(approx (* (cos x) (sin (* 1/2 eps))) (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))))
#s(approx (* (cos x) (sin (* 1/2 eps))) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) (cos.f64 x) (.f64 #s(literal 1/3840 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))))))
#s(approx (* (cos x) (sin (* 1/2 eps))) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) (cos.f64 x) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/645120 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)) (*.f64 #s(literal 1/3840 binary64) (cos.f64 x)))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #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 (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))
#s(approx (- (sin (+ (* (PI) 1/2) (+ eps x))) (cos x)) (-.f64 (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 x)))
#s(approx (- (sin (+ (* (PI) 1/2) (+ eps x))) (cos x)) (-.f64 (+.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 eps (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (cos.f64 x)))
#s(approx (- (sin (+ (* (PI) 1/2) (+ eps x))) (cos x)) (-.f64 (+.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 eps (+.f64 (cos.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64))))))))) (cos.f64 x)))
#s(approx (- (sin (+ (* (PI) 1/2) (+ eps x))) (cos x)) (-.f64 (+.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 eps (+.f64 (cos.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64))))))))))) (cos.f64 x)))
#s(approx (sin (+ (* (PI) 1/2) (+ eps x))) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (sin (+ (* (PI) 1/2) (+ eps x))) (+.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 eps (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (sin (+ (* (PI) 1/2) (+ eps x))) (+.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 eps (+.f64 (cos.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64))))))))))
#s(approx (sin (+ (* (PI) 1/2) (+ eps x))) (+.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 eps (+.f64 (cos.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64))))))))))))
#s(approx (+ (* (PI) 1/2) (+ eps x)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (* (sin (* 1/2 eps)) -2) (*.f64 #s(literal -1 binary64) eps))
#s(approx (* (sin (* 1/2 eps)) -2) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (* (sin (* 1/2 eps)) -2) (.f64 eps (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/1920 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64))))
#s(approx (* (sin (* 1/2 eps)) -2) (.f64 eps (-.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 1/322560 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/1920 binary64))))) #s(literal 1 binary64))))
#s(approx (sin (* (+ (+ eps x) x) 1/2)) (+.f64 (sin.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x)))))
#s(approx (sin (* (+ (+ eps x) x) 1/2)) (+.f64 (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (.f64 eps (sin.f64 x)) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))))
#s(approx (sin (* (+ (+ eps x) x) 1/2)) (+.f64 (sin.f64 x) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (sin.f64 x) (.f64 #s(literal -1/48 binary64) (.f64 eps (cos.f64 x)))))))))
#s(approx (* 2 (* (cos (/ (+ (+ (PI) x) (+ eps x)) 2)) (cos (/ (- (+ (PI) x) (+ eps x)) 2)))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) x)))))))
#s(approx (* 2 (* (cos (/ (+ (+ (PI) x) (+ eps x)) 2)) (cos (/ (- (+ (PI) x) (+ eps x)) 2)))) (fma.f64 #s(literal 2 binary64) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 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))) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) x))))))))
#s(approx (* 2 (* (cos (/ (+ (+ (PI) x) (+ eps x)) 2)) (cos (/ (- (+ (PI) x) (+ eps x)) 2)))) (fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))) (.f64 eps (fma.f64 #s(literal 2 binary64) (.f64 eps (fma.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))) (.f64 #s(literal -1/4 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))))
#s(approx (* 2 (* (cos (/ (+ (+ (PI) x) (+ eps x)) 2)) (cos (/ (- (+ (PI) x) (+ eps x)) 2)))) (fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))) (.f64 eps (fma.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (.f64 eps (fma.f64 #s(literal 2 binary64) (.f64 eps (fma.f64 #s(literal -1/16 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 #s(literal -1/48 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 #s(literal 1/48 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))) (.f64 #s(literal 1/16 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))))))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))) (.f64 #s(literal -1/4 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) x))))))))))))))
#s(approx (* (cos (/ (+ (+ (PI) x) (+ eps x)) 2)) (cos (/ (- (+ (PI) x) (+ eps x)) 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))))
#s(approx (* (cos (/ (+ (+ (PI) x) (+ eps x)) 2)) (cos (/ (- (+ (PI) x) (+ eps x)) 2))) (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) x)))))))
#s(approx (* (cos (/ (+ (+ (PI) x) (+ eps x)) 2)) (cos (/ (- (+ (PI) x) (+ eps x)) 2))) (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))) (fma.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 eps (fma.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))) (.f64 #s(literal -1/4 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))))))))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))))))
#s(approx (* (cos (/ (+ (+ (PI) x) (+ eps x)) 2)) (cos (/ (- (+ (PI) x) (+ eps x)) 2))) (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))) (fma.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 eps (fma.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))) (fma.f64 #s(literal -1/4 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))) (.f64 eps (fma.f64 #s(literal -1/16 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 #s(literal -1/48 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 #s(literal 1/48 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))) (.f64 #s(literal 1/16 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))))))))))))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) x)))))))
#s(approx (cos (/ (+ (+ (PI) x) (+ eps x)) 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))))
#s(approx (cos (/ (+ (+ (PI) x) (+ eps x)) 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 (/ (+ (+ (PI) x) (+ eps x)) 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 (/ (+ (+ (PI) x) (+ eps x)) 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 (/ (+ (+ (PI) x) (+ eps x)) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))
#s(approx (/ (+ (+ (PI) x) (+ eps x)) 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 (+ (+ (PI) x) (+ eps x)) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) x)))
#s(approx (cos (/ (- (+ (PI) x) (+ eps x)) 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (cos (/ (- (+ (PI) x) (+ eps x)) 2)) (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (cos (/ (- (+ (PI) x) (+ eps x)) 2)) (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 eps (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))
#s(approx (cos (/ (- (+ (PI) x) (+ eps x)) 2)) (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1/48 binary64) (.f64 eps (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))))))) (.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))
#s(approx (/ (- (+ (PI) x) (+ eps x)) 2) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (/ (- (+ (PI) x) (+ eps x)) 2) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (- (+ (PI) x) (+ eps x)) (+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) eps)))
#s(approx (cos (* -1/2 eps)) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
#s(approx (+ (* -1 x) (* -1/2 eps)) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
#s(approx (+ (* (PI) 1/2) (+ eps x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) eps) (/.f64 x eps)))))
#s(approx (+ eps x) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (* (sin (* 1/2 eps)) -2) (.f64 #s(literal -2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (+ (+ eps x) x) 1/2) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))
#s(approx (+ (+ eps x) x) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps)))))
#s(approx (/ (+ (+ (PI) x) (+ eps x)) 2) (.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 (+ (+ (PI) x) (+ eps x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) (/.f64 (PI.f64) eps)))))
#s(approx (/ (- (+ (PI) x) (+ eps x)) 2) (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) eps)) #s(literal 1/2 binary64))))
#s(approx (- (+ (PI) x) (+ eps x)) (*.f64 eps (-.f64 (/.f64 (PI.f64) eps) #s(literal 1 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x)))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)))))
#s(approx (+ (* -1 x) (* -1/2 eps)) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))))
#s(approx (- (sin (+ (* (PI) 1/2) (+ eps x))) (cos x)) (-.f64 (sin.f64 (-.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1 binary64) eps))) (cos.f64 x)))
#s(approx (sin (+ (* (PI) 1/2) (+ eps x))) (sin.f64 (-.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1 binary64) eps))))
#s(approx (+ (* (PI) 1/2) (+ eps x)) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64))) eps)) #s(literal 1 binary64)))))
#s(approx (+ eps x) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps)))))))
#s(approx (sin (* (+ (+ eps x) x) 1/2)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))
#s(approx (* (+ (+ eps x) x) 1/2) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))))
#s(approx (+ (+ eps x) x) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (* 2 (* (cos (/ (+ (+ (PI) x) (+ eps x)) 2)) (cos (/ (- (+ (PI) x) (+ eps 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)))) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal -1 binary64) eps)))))))
#s(approx (* (cos (/ (+ (+ (PI) x) (+ eps x)) 2)) (cos (/ (- (+ (PI) x) (+ eps x)) 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) eps)))) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal -1 binary64) eps))))))
#s(approx (cos (/ (+ (+ (PI) x) (+ eps x)) 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal -1 binary64) eps)))))
#s(approx (/ (+ (+ (PI) x) (+ eps x)) 2) (.f64 #s(literal -1 binary64) (.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 (+ (+ (PI) x) (+ eps x)) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)) eps)) #s(literal 1 binary64)))))
#s(approx (cos (/ (- (+ (PI) x) (+ eps x)) 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) eps)))))
#s(approx (/ (- (+ (PI) x) (+ eps 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 (- (+ (PI) x) (+ eps 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	Expression
18.0ms	x	@	inf	((* (+ (* (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) -2) (+ (* (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) (* (sin x) (cos (* -1/2 eps))) (sin x) x (cos (* -1/2 eps)) (* -1/2 eps) -1/2 eps (sin (* 1/2 eps)) (* 1/2 eps) 1/2 (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps))) (cos x) -2 (- (cos (+ x eps)) (cos x)) (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (- (* -1/2 (* eps (cos x))) (sin x)) (+ (* -1 x) (* -1/2 eps)) -1 (- (sin (+ (* (PI) 1/2) (+ eps x))) (cos x)) (sin (+ (* (PI) 1/2) (+ eps x))) (+ (* (PI) 1/2) (+ eps x)) (PI) (+ eps x) (cos x) 1 (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2)) (* (+ (+ eps x) x) 1/2) (+ (+ eps x) x) (* 2 (* (cos (/ (+ (+ (PI) x) (+ eps x)) 2)) (cos (/ (- (+ (PI) x) (+ eps x)) 2)))) 2 (* (cos (/ (+ (+ (PI) x) (+ eps x)) 2)) (cos (/ (- (+ (PI) x) (+ eps x)) 2))) (cos (/ (+ (+ (PI) x) (+ eps x)) 2)) (/ (+ (+ (PI) x) (+ eps x)) 2) (+ (+ (PI) x) (+ eps x)) (+ (PI) x) (cos (/ (- (+ (PI) x) (+ eps x)) 2)) (/ (- (+ (PI) x) (+ eps x)) 2) (- (+ (PI) x) (+ eps x)))
15.0ms	eps	@	0	((* (+ (* (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) -2) (+ (* (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) (* (sin x) (cos (* -1/2 eps))) (sin x) x (cos (* -1/2 eps)) (* -1/2 eps) -1/2 eps (sin (* 1/2 eps)) (* 1/2 eps) 1/2 (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps))) (cos x) -2 (- (cos (+ x eps)) (cos x)) (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (- (* -1/2 (* eps (cos x))) (sin x)) (+ (* -1 x) (* -1/2 eps)) -1 (- (sin (+ (* (PI) 1/2) (+ eps x))) (cos x)) (sin (+ (* (PI) 1/2) (+ eps x))) (+ (* (PI) 1/2) (+ eps x)) (PI) (+ eps x) (cos x) 1 (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2)) (* (+ (+ eps x) x) 1/2) (+ (+ eps x) x) (* 2 (* (cos (/ (+ (+ (PI) x) (+ eps x)) 2)) (cos (/ (- (+ (PI) x) (+ eps x)) 2)))) 2 (* (cos (/ (+ (+ (PI) x) (+ eps x)) 2)) (cos (/ (- (+ (PI) x) (+ eps x)) 2))) (cos (/ (+ (+ (PI) x) (+ eps x)) 2)) (/ (+ (+ (PI) x) (+ eps x)) 2) (+ (+ (PI) x) (+ eps x)) (+ (PI) x) (cos (/ (- (+ (PI) x) (+ eps x)) 2)) (/ (- (+ (PI) x) (+ eps x)) 2) (- (+ (PI) x) (+ eps x)))
10.0ms	x	@	-inf	((* (+ (* (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) -2) (+ (* (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) (* (sin x) (cos (* -1/2 eps))) (sin x) x (cos (* -1/2 eps)) (* -1/2 eps) -1/2 eps (sin (* 1/2 eps)) (* 1/2 eps) 1/2 (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps))) (cos x) -2 (- (cos (+ x eps)) (cos x)) (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (- (* -1/2 (* eps (cos x))) (sin x)) (+ (* -1 x) (* -1/2 eps)) -1 (- (sin (+ (* (PI) 1/2) (+ eps x))) (cos x)) (sin (+ (* (PI) 1/2) (+ eps x))) (+ (* (PI) 1/2) (+ eps x)) (PI) (+ eps x) (cos x) 1 (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2)) (* (+ (+ eps x) x) 1/2) (+ (+ eps x) x) (* 2 (* (cos (/ (+ (+ (PI) x) (+ eps x)) 2)) (cos (/ (- (+ (PI) x) (+ eps x)) 2)))) 2 (* (cos (/ (+ (+ (PI) x) (+ eps x)) 2)) (cos (/ (- (+ (PI) x) (+ eps x)) 2))) (cos (/ (+ (+ (PI) x) (+ eps x)) 2)) (/ (+ (+ (PI) x) (+ eps x)) 2) (+ (+ (PI) x) (+ eps x)) (+ (PI) x) (cos (/ (- (+ (PI) x) (+ eps x)) 2)) (/ (- (+ (PI) x) (+ eps x)) 2) (- (+ (PI) x) (+ eps x)))
8.0ms	eps	@	-inf	((* (+ (* (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) -2) (+ (* (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) (* (sin x) (cos (* -1/2 eps))) (sin x) x (cos (* -1/2 eps)) (* -1/2 eps) -1/2 eps (sin (* 1/2 eps)) (* 1/2 eps) 1/2 (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps))) (cos x) -2 (- (cos (+ x eps)) (cos x)) (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (- (* -1/2 (* eps (cos x))) (sin x)) (+ (* -1 x) (* -1/2 eps)) -1 (- (sin (+ (* (PI) 1/2) (+ eps x))) (cos x)) (sin (+ (* (PI) 1/2) (+ eps x))) (+ (* (PI) 1/2) (+ eps x)) (PI) (+ eps x) (cos x) 1 (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2)) (* (+ (+ eps x) x) 1/2) (+ (+ eps x) x) (* 2 (* (cos (/ (+ (+ (PI) x) (+ eps x)) 2)) (cos (/ (- (+ (PI) x) (+ eps x)) 2)))) 2 (* (cos (/ (+ (+ (PI) x) (+ eps x)) 2)) (cos (/ (- (+ (PI) x) (+ eps x)) 2))) (cos (/ (+ (+ (PI) x) (+ eps x)) 2)) (/ (+ (+ (PI) x) (+ eps x)) 2) (+ (+ (PI) x) (+ eps x)) (+ (PI) x) (cos (/ (- (+ (PI) x) (+ eps x)) 2)) (/ (- (+ (PI) x) (+ eps x)) 2) (- (+ (PI) x) (+ eps x)))
8.0ms	eps	@	inf	((* (+ (* (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) -2) (+ (* (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) (* (sin x) (cos (* -1/2 eps))) (sin x) x (cos (* -1/2 eps)) (* -1/2 eps) -1/2 eps (sin (* 1/2 eps)) (* 1/2 eps) 1/2 (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps))) (cos x) -2 (- (cos (+ x eps)) (cos x)) (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (- (* -1/2 (* eps (cos x))) (sin x)) (+ (* -1 x) (* -1/2 eps)) -1 (- (sin (+ (* (PI) 1/2) (+ eps x))) (cos x)) (sin (+ (* (PI) 1/2) (+ eps x))) (+ (* (PI) 1/2) (+ eps x)) (PI) (+ eps x) (cos x) 1 (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2)) (* (+ (+ eps x) x) 1/2) (+ (+ eps x) x) (* 2 (* (cos (/ (+ (+ (PI) x) (+ eps x)) 2)) (cos (/ (- (+ (PI) x) (+ eps x)) 2)))) 2 (* (cos (/ (+ (+ (PI) x) (+ eps x)) 2)) (cos (/ (- (+ (PI) x) (+ eps x)) 2))) (cos (/ (+ (+ (PI) x) (+ eps x)) 2)) (/ (+ (+ (PI) x) (+ eps x)) 2) (+ (+ (PI) x) (+ eps x)) (+ (PI) x) (cos (/ (- (+ (PI) x) (+ eps x)) 2)) (/ (- (+ (PI) x) (+ eps x)) 2) (- (+ (PI) x) (+ eps x)))

rewrite580.0ms (5.8%)

Memory

-53.1MiB live, 446.3MiB allocated; 796ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	341
0	87	319
1	436	304
2	2535	286
0	8207	276

Stop Event

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

Counts

43 → 836

Calls

Call 1

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

Outputs
(.f64 (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(.f64 (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal -2 binary64)))
(neg.f64 (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(neg.f64 (.f64 (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)))
(fma.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64) (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))) (cos.f64 x)) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal -2 binary64) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))) (cos.f64 x))))
(fma.f64 #s(literal -2 binary64) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) (cos.f64 x)) (.f64 #s(literal -2 binary64) (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) (cos.f64 x)) #s(literal -2 binary64) (.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64)))
(+.f64 (.f64 #s(literal -2 binary64) (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 #s(literal -2 binary64) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) (cos.f64 x))))
(+.f64 (.f64 #s(literal -2 binary64) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) (cos.f64 x))) (.f64 #s(literal -2 binary64) (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps)))))
(+.f64 (.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64)) (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) (cos.f64 x)) #s(literal -2 binary64)))
(+.f64 (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) (cos.f64 x)) #s(literal -2 binary64)) (.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) (cos.f64 x)))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))) (cos.f64 x)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) (cos.f64 x))) (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))))) (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) (cos.f64 x)) (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))))) (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) (cos.f64 x)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) (cos.f64 x))) (.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))))) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) (cos.f64 x)) (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) (cos.f64 x))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) (cos.f64 x))))) (+.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) (cos.f64 x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64))) (fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) (cos.f64 x)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) (cos.f64 x)) (-.f64 (.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) (cos.f64 x)) (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) (cos.f64 x))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (fma.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) (cos.f64 x))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) (cos.f64 x))) (.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))) (cos.f64 x)))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) (cos.f64 x)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) (cos.f64 x)))) (-.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) (cos.f64 x))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (-.f64 (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) (cos.f64 x)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) (cos.f64 x))) (.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) (cos.f64 x))))))
(neg.f64 (-.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) (cos.f64 x))) (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps)))))
(fma.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (neg.f64 (.f64 (neg.f64 (cos.f64 x)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(fma.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (neg.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))) (cos.f64 x)))))
(fma.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))) (cos.f64 x)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) (cos.f64 x) (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(fma.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (sin.f64 x) (.f64 (neg.f64 (.f64 (neg.f64 (cos.f64 x)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(fma.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (sin.f64 x) (neg.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))) (cos.f64 x)))))
(fma.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (sin.f64 x) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))) (cos.f64 x)))
(fma.f64 (cos.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(fma.f64 (.f64 (cos.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(fma.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (cos.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(fma.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (.f64 (neg.f64 (.f64 (neg.f64 (cos.f64 x)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(fma.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (neg.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))) (cos.f64 x)))))
(fma.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))) (cos.f64 x)))
(fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (neg.f64 (.f64 (neg.f64 (cos.f64 x)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (neg.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))) (cos.f64 x)))))
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(fma.f64 (sin.f64 (.f64 (-.f64 (-.f64 (+.f64 eps x) x) (PI.f64)) #s(literal -1/2 binary64))) #s(literal 0 binary64) (.f64 (cos.f64 (*.f64 (-.f64 (-.f64 (+.f64 eps x) x) (PI.f64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (.f64 (-.f64 (-.f64 (+.f64 eps x) x) (PI.f64)) #s(literal 1/2 binary64))) (.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (-.f64 (-.f64 (+.f64 eps x) x) (PI.f64)) #s(literal -1/2 binary64)))))
(-.f64 (.f64 #s(literal 0 binary64) (cos.f64 (/.f64 (-.f64 (-.f64 x x) eps) #s(literal 2 binary64)))) (.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (-.f64 (-.f64 x x) eps) #s(literal 2 binary64)))))
(-.f64 (.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (-.f64 (.f64 (+.f64 eps x) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))))) (.f64 (neg.f64 (sin.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 (-.f64 (.f64 (+.f64 eps x) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64))))))
(-.f64 (.f64 (neg.f64 (sin.f64 (/.f64 x #s(literal 2 binary64)))) (cos.f64 (/.f64 (-.f64 (neg.f64 eps) x) #s(literal 2 binary64)))) (.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (neg.f64 eps) x) #s(literal 2 binary64)))))
(-.f64 (.f64 (sin.f64 (.f64 (-.f64 (-.f64 (+.f64 eps x) x) (PI.f64)) #s(literal -1/2 binary64))) #s(literal 0 binary64)) (.f64 (cos.f64 (.f64 (-.f64 (-.f64 (+.f64 eps x) x) (PI.f64)) #s(literal 1/2 binary64))) (sin.f64 (neg.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(-.f64 (.f64 (neg.f64 (sin.f64 (/.f64 x #s(literal 2 binary64)))) (cos.f64 (.f64 (+.f64 eps x) #s(literal 1/2 binary64)))) (.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 (neg.f64 (.f64 (+.f64 eps x) #s(literal 1/2 binary64))))))
(cos.f64 (neg.f64 (neg.f64 (*.f64 (fabs.f64 (-.f64 x (-.f64 (+.f64 eps x) (PI.f64)))) #s(literal 1/2 binary64)))))
(cos.f64 (neg.f64 (*.f64 (fabs.f64 (-.f64 x (-.f64 (+.f64 eps x) (PI.f64)))) #s(literal 1/2 binary64))))
(cos.f64 (*.f64 (-.f64 (-.f64 (+.f64 eps x) x) (PI.f64)) #s(literal 1/2 binary64)))
(cos.f64 (*.f64 (fabs.f64 (-.f64 x (-.f64 (+.f64 eps x) (PI.f64)))) #s(literal 1/2 binary64)))
(cos.f64 (*.f64 (-.f64 (-.f64 (+.f64 eps x) x) (PI.f64)) #s(literal -1/2 binary64)))
(+.f64 (.f64 (sin.f64 (.f64 (-.f64 (-.f64 (+.f64 eps x) x) (PI.f64)) #s(literal 1/2 binary64))) #s(literal 0 binary64)) (.f64 (cos.f64 (.f64 (-.f64 (-.f64 (+.f64 eps x) x) (PI.f64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (sin.f64 (.f64 (fabs.f64 (-.f64 x (-.f64 (+.f64 eps x) (PI.f64)))) #s(literal 1/2 binary64))) #s(literal 0 binary64)) (.f64 (cos.f64 (.f64 (-.f64 (-.f64 (+.f64 eps x) x) (PI.f64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 (.f64 (-.f64 (-.f64 (+.f64 eps x) x) (PI.f64)) #s(literal 1/2 binary64)))) (.f64 #s(literal 0 binary64) (sin.f64 (.f64 (-.f64 (-.f64 (+.f64 eps x) x) (PI.f64)) #s(literal -1/2 binary64)))))
(+.f64 (.f64 (cos.f64 (.f64 (+.f64 eps x) #s(literal 1/2 binary64))) (neg.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))))) (.f64 (sin.f64 (.f64 (+.f64 eps x) #s(literal 1/2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(+.f64 (.f64 (cos.f64 (/.f64 (-.f64 (+.f64 (PI.f64) x) eps) #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (PI.f64) x) eps) #s(literal 2 binary64))) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(+.f64 (.f64 (sin.f64 (.f64 (-.f64 (-.f64 (+.f64 eps x) x) (PI.f64)) #s(literal -1/2 binary64))) #s(literal 0 binary64)) (.f64 (cos.f64 (.f64 (-.f64 (-.f64 (+.f64 eps x) x) (PI.f64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (neg.f64 (sin.f64 (/.f64 x #s(literal 2 binary64)))) (cos.f64 (.f64 (+.f64 eps x) #s(literal 1/2 binary64)))) (.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 (.f64 (+.f64 eps x) #s(literal 1/2 binary64)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 eps x) #s(literal 1/2 binary64)) (.f64 (+.f64 (PI.f64) x) #s(literal 1/2 binary64)))) (.f64 (+.f64 (PI.f64) x) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (-.f64 (+.f64 eps x) x) (PI.f64)) #s(literal -1/2 binary64))
(*.f64 (-.f64 (-.f64 (+.f64 (PI.f64) x) x) eps) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 (+.f64 (PI.f64) x) x) eps))
(/.f64 (*.f64 (-.f64 (-.f64 (+.f64 (PI.f64) x) x) eps) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 (PI.f64) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 eps x)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 (PI.f64) x) #s(literal 1/2 binary64)) (.f64 (+.f64 (PI.f64) x) #s(literal 1/2 binary64))) (.f64 (.f64 (+.f64 eps x) #s(literal 1/2 binary64)) (.f64 (+.f64 eps x) #s(literal 1/2 binary64)))) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x eps) (PI.f64)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 (PI.f64) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 eps x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (+.f64 (PI.f64) x) #s(literal 1/2 binary64)) (.f64 (+.f64 (PI.f64) x) #s(literal 1/2 binary64)) (fma.f64 (.f64 (+.f64 eps x) #s(literal 1/2 binary64)) (.f64 (+.f64 eps x) #s(literal 1/2 binary64)) (.f64 (.f64 (+.f64 (PI.f64) x) #s(literal 1/2 binary64)) (*.f64 (+.f64 eps x) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (+.f64 (PI.f64) x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (+.f64 eps x))) #s(literal 4 binary64))
(/.f64 (-.f64 (-.f64 (+.f64 eps x) x) (PI.f64)) #s(literal -2 binary64))
(/.f64 (-.f64 (-.f64 (+.f64 (PI.f64) x) x) eps) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 (-.f64 (+.f64 eps x) x) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (-.f64 (+.f64 (PI.f64) x) x) eps)))
(neg.f64 (*.f64 (-.f64 (-.f64 (+.f64 eps x) x) (PI.f64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (/.f64 (-.f64 (-.f64 x x) eps) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (/.f64 (-.f64 (-.f64 x x) eps) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 x x) eps) #s(literal 2 binary64)))
(fma.f64 (+.f64 (PI.f64) x) #s(literal 1/2 binary64) (neg.f64 (*.f64 (+.f64 eps x) #s(literal 1/2 binary64))))
(fma.f64 (+.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 (-.f64 (neg.f64 eps) x) #s(literal 2 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 x x) eps) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (-.f64 (-.f64 x x) eps) #s(literal 2 binary64)))
(-.f64 (/.f64 (-.f64 (+.f64 (PI.f64) x) eps) #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))
(-.f64 (.f64 (+.f64 (PI.f64) x) #s(literal 1/2 binary64)) (.f64 (+.f64 eps x) #s(literal 1/2 binary64)))
(+.f64 (.f64 (+.f64 (PI.f64) x) #s(literal 1/2 binary64)) (neg.f64 (.f64 (+.f64 eps x) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (+.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.f64 (-.f64 (neg.f64 eps) x) #s(literal 2 binary64)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (-.f64 (-.f64 x x) eps) #s(literal 2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 eps) x) (+.f64 (PI.f64) x))) (+.f64 (PI.f64) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 x x) eps) (PI.f64))) (PI.f64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (+.f64 (PI.f64) x) eps))) (-.f64 (+.f64 (PI.f64) x) eps))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps x) (+.f64 (PI.f64) x))) (+.f64 (PI.f64) x))
(/.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (-.f64 (-.f64 x x) eps) (-.f64 (-.f64 x x) eps))) (-.f64 (PI.f64) (-.f64 (-.f64 x x) eps)))
(/.f64 (-.f64 (.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) x)) (.f64 (-.f64 (neg.f64 eps) x) (-.f64 (neg.f64 eps) x))) (+.f64 (fma.f64 #s(literal 2 binary64) x eps) (PI.f64)))
(/.f64 (-.f64 (.f64 (-.f64 (+.f64 (PI.f64) x) eps) (-.f64 (+.f64 (PI.f64) x) eps)) (.f64 x x)) (+.f64 (-.f64 (+.f64 (PI.f64) x) eps) x))
(/.f64 (+.f64 (pow.f64 (+.f64 (PI.f64) x) #s(literal 3 binary64)) (pow.f64 (-.f64 (neg.f64 eps) x) #s(literal 3 binary64))) (fma.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) x) (-.f64 (.f64 (-.f64 (neg.f64 eps) x) (-.f64 (neg.f64 eps) x)) (.f64 (+.f64 (PI.f64) x) (-.f64 (neg.f64 eps) x)))))
(/.f64 (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (pow.f64 (-.f64 (-.f64 x x) eps) #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (-.f64 (.f64 (-.f64 (-.f64 x x) eps) (-.f64 (-.f64 x x) eps)) (.f64 (PI.f64) (-.f64 (-.f64 x x) eps)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (+.f64 (PI.f64) x) eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 (+.f64 (PI.f64) x) eps) (-.f64 (+.f64 (PI.f64) x) eps) (fma.f64 x x (*.f64 (-.f64 (+.f64 (PI.f64) x) eps) x))))
(/.f64 (-.f64 (.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) x)) (.f64 (+.f64 eps x) (+.f64 eps x))) (+.f64 (fma.f64 #s(literal 2 binary64) x eps) (PI.f64)))
(/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) x) #s(literal 3 binary64)) (pow.f64 (+.f64 eps x) #s(literal 3 binary64))) (fma.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) x) (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 (+.f64 (PI.f64) x) (+.f64 eps x)))))
(neg.f64 (-.f64 (-.f64 (+.f64 eps x) x) (PI.f64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (PI.f64) x)) x (-.f64 (neg.f64 eps) x))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (PI.f64))) (PI.f64) (-.f64 (neg.f64 eps) x))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (PI.f64))) (PI.f64) (-.f64 (neg.f64 eps) x))
(-.f64 (-.f64 (+.f64 (PI.f64) x) x) eps)
(-.f64 (-.f64 (+.f64 (PI.f64) x) eps) x)
(-.f64 (+.f64 (PI.f64) x) (+.f64 eps x))
(-.f64 (PI.f64) (-.f64 (neg.f64 x) (-.f64 (neg.f64 eps) x)))
(-.f64 (PI.f64) (+.f64 (neg.f64 x) (+.f64 eps x)))
(-.f64 (PI.f64) (-.f64 (+.f64 eps x) x))
(+.f64 (-.f64 (+.f64 (PI.f64) x) x) (neg.f64 eps))
(+.f64 (-.f64 (+.f64 (PI.f64) x) eps) (neg.f64 x))
(+.f64 (-.f64 (-.f64 x x) eps) (PI.f64))
(+.f64 (-.f64 (neg.f64 eps) x) (+.f64 (PI.f64) x))
(+.f64 (+.f64 (PI.f64) x) (-.f64 (neg.f64 eps) x))
(+.f64 (PI.f64) (-.f64 (-.f64 x x) eps))
(+.f64 x (+.f64 (PI.f64) (-.f64 (neg.f64 eps) x)))
(+.f64 x (-.f64 (PI.f64) (+.f64 eps x)))

eval179.0ms (1.8%)

Memory: 20.6MiB live, 249.5MiB allocated; 38ms collecting garbage
Compiler: Compiled 17 001 to 5 791 computations (65.9% saved)

prune46.0ms (0.5%)

Memory

3.6MiB live, 102.8MiB allocated; 10ms collecting garbage

Pruning

36 alts after pruning (27 fresh and 9 done)

	Pruned	Kept	Total
New	1 072	13	1 085
Fresh	7	14	21
Picked	4	1	5
Done	0	8	8
Total	1 083	36	1 119

Accuracy

100.0%

Counts

1 119 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	81.1%	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
✓	55.2%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
✓	54.2%	(-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) #s(approx (cos x) #s(literal 1 binary64)))
	55.1%	(-.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x))) (cos.f64 x))
✓	55.1%	(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))
✓	55.1%	(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)))
✓	55.0%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	54.2%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
	99.3%	(.f64 (fma.f64 (.f64 (sin.f64 x) (cos.f64 (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(approx (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps))) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))) #s(literal -2 binary64))
	99.7%	(.f64 (.f64 (fma.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (cos.f64 x) (sin.f64 (.f64 eps #s(literal 1/2 binary64))))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
	99.6%	(.f64 (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64))
	13.3%	(.f64 (.f64 (neg.f64 (cos.f64 (+.f64 x (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
	98.0%	(.f64 #s(approx (+ ( (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) (fma.f64 x (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) #s(literal -2 binary64))
	99.7%	(.f64 #s(approx ( (+ (* (sin (* 1 x)) (cos (* eps 1/2))) (* (cos (* 1 x)) (sin (* eps 1/2)))) (sin (* 1/2 (- eps 0)))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (fma.f64 (cos.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x))))) #s(literal -2 binary64))
	99.3%	(.f64 #s(approx ( (sin (* 1/2 eps)) -2) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
	99.0%	(.f64 #s(approx ( (sin (* 1/2 eps)) -2) (.f64 #s(literal -1 binary64) eps)) (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
	55.5%	(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 eps x)) #s(literal 2 binary64))) (sin.f64 (+.f64 (neg.f64 (.f64 (fabs.f64 (-.f64 x (-.f64 (+.f64 eps x) (PI.f64)))) #s(literal 1/2 binary64))) (.f64 (PI.f64) #s(literal 1/2 binary64))))))
	5.7%	(.f64 #s(literal 2 binary64) (.f64 (cos.f64 #s(approx (/ (+ (+ (PI) x) (+ eps x)) 2) (+.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))) (cos.f64 (/.f64 (-.f64 (+.f64 (PI.f64) x) (+.f64 eps x)) #s(literal 2 binary64)))))
	5.7%	(.f64 #s(literal 2 binary64) #s(approx ( (cos (/ (+ (+ (PI) x) (+ eps x)) 2)) (cos (/ (- (+ (PI) x) (+ eps x)) 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 eps (PI.f64)) (.f64 #s(literal -2 binary64) x)))))))
✓	54.1%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
	54.1%	#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)))
	97.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) eps))
✓	99.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
	98.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))))
	97.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))))
	39.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (/.f64 (-.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) eps) #s(literal 3 binary64))) (fma.f64 (neg.f64 x) (neg.f64 x) (fma.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal 1/2 binary64) eps) (.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) eps))))))))
	97.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (/.f64 (-.f64 (.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64))) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x))))))
	99.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))))))
✓	55.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))))
	80.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))))
	97.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))))
	97.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))))))
	79.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) x)))))
	98.4%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 eps x) (.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))
	97.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (.f64 eps x) (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
	97.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x))))))

Compiler

Compiled 1 397 to 1 072 computations (23.3% saved)

regimes50.0ms (0.5%)

Memory

3.6MiB live, 93.3MiB allocated; 11ms collecting garbage

Counts

60 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) x)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #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 (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (.f64 eps x) (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (/.f64 (-.f64 (.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64))) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))))
(-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) #s(approx (cos x) #s(literal 1 binary64)))
(.f64 #s(approx ( (sin (* 1/2 eps)) -2) (.f64 #s(literal -1 binary64) eps)) (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 eps x) (.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 #s(approx ( -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))) (sin.f64 x))))
(.f64 #s(approx ( (sin (* 1/2 eps)) -2) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (/.f64 (-.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) eps) #s(literal 3 binary64))) (fma.f64 (neg.f64 x) (neg.f64 x) (fma.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal 1/2 binary64) eps) (.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) eps))))))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(approx (sin ( 1/2 (- eps 0))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal -2 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))
(-.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
(.f64 (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps x) x))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(.f64 #s(literal 2 binary64) #s(approx ( (cos (/ (+ (+ (PI) x) (+ eps x)) 2)) (cos (/ (- (+ (PI) x) (+ eps x)) 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 eps (PI.f64)) (.f64 #s(literal -2 binary64) x)))))))
(.f64 (.f64 (neg.f64 (cos.f64 (+.f64 x (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ ( 2 x) eps) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(.f64 #s(approx ( (sin (* 1/2 (+ (* (+ 1 (/ eps x)) x) x))) (sin (* 1/2 (- eps 0)))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))))))) #s(literal -2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 (+.f64 (+.f64 (fabs.f64 x) eps) x) #s(literal 1/2 binary64))) (sin.f64 (.f64 (-.f64 (-.f64 (fabs.f64 x) eps) x) #s(literal 1/2 binary64)))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 eps x) #s(literal -1 binary64)) x x))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x x))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 #s(approx (/ (+ (+ (PI) x) (+ eps x)) 2) (+.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))) (cos.f64 (/.f64 (-.f64 (+.f64 (PI.f64) x) (+.f64 eps x)) #s(literal 2 binary64)))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(approx (sin ( 1/2 (- eps 0))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))))))) #s(literal -2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 eps x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (PI.f64) x) (+.f64 eps x)) #s(literal 2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x))))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 eps x)) #s(literal 2 binary64))) (sin.f64 (+.f64 (neg.f64 (.f64 (fabs.f64 (-.f64 x (-.f64 (+.f64 eps x) (PI.f64)))) #s(literal 1/2 binary64))) (.f64 (PI.f64) #s(literal 1/2 binary64))))))
(.f64 #s(approx ( (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) (fma.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 #s(approx ( (+ (* (sin (* 1 x)) (cos (* eps 1/2))) (* (cos (* 1 x)) (sin (* eps 1/2)))) (sin (* 1/2 (- eps 0)))) (fma.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 #s(approx (+ ( (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) (fma.f64 x (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (fma.f64 (.f64 (sin.f64 x) (cos.f64 (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(approx (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps))) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))) #s(literal -2 binary64))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x))) (.f64 (sin.f64 eps) (sin.f64 x)))
(.f64 #s(approx ( (+ (* (sin (* 1 x)) (cos (* eps 1/2))) (* (cos (* 1 x)) (sin (* eps 1/2)))) (sin (* 1/2 (- eps 0)))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (fma.f64 (cos.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x))))) #s(literal -2 binary64))
(.f64 (.f64 (fma.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (cos.f64 x) (sin.f64 (.f64 eps #s(literal 1/2 binary64))))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(.f64 (.f64 (fma.f64 (sin.f64 (.f64 #s(literal 1 binary64) x)) (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) (sin.f64 (.f64 eps #s(literal 1/2 binary64))))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(.f64 (fma.f64 (.f64 (sin.f64 x) (cos.f64 (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (.f64 (cos.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) #s(literal -2 binary64))
(.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)))

Outputs

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

Calls

3 calls:

18.0ms	x
18.0ms	eps
10.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
99.9%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.9%	1	`x`
99.9%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes44.0ms (0.4%)

Memory

-28.6MiB live, 70.6MiB allocated; 9ms collecting garbage

Counts

58 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) x)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #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 (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (.f64 eps x) (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (/.f64 (-.f64 (.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64))) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))))
(-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) #s(approx (cos x) #s(literal 1 binary64)))
(.f64 #s(approx ( (sin (* 1/2 eps)) -2) (.f64 #s(literal -1 binary64) eps)) (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 eps x) (.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 #s(approx ( -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))) (sin.f64 x))))
(.f64 #s(approx ( (sin (* 1/2 eps)) -2) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (/.f64 (-.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) eps) #s(literal 3 binary64))) (fma.f64 (neg.f64 x) (neg.f64 x) (fma.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal 1/2 binary64) eps) (.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) eps))))))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(approx (sin ( 1/2 (- eps 0))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal -2 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))
(-.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
(.f64 (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps x) x))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(.f64 #s(literal 2 binary64) #s(approx ( (cos (/ (+ (+ (PI) x) (+ eps x)) 2)) (cos (/ (- (+ (PI) x) (+ eps x)) 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 eps (PI.f64)) (.f64 #s(literal -2 binary64) x)))))))
(.f64 (.f64 (neg.f64 (cos.f64 (+.f64 x (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ ( 2 x) eps) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(.f64 #s(approx ( (sin (* 1/2 (+ (* (+ 1 (/ eps x)) x) x))) (sin (* 1/2 (- eps 0)))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))))))) #s(literal -2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 (+.f64 (+.f64 (fabs.f64 x) eps) x) #s(literal 1/2 binary64))) (sin.f64 (.f64 (-.f64 (-.f64 (fabs.f64 x) eps) x) #s(literal 1/2 binary64)))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 eps x) #s(literal -1 binary64)) x x))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x x))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 #s(approx (/ (+ (+ (PI) x) (+ eps x)) 2) (+.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))) (cos.f64 (/.f64 (-.f64 (+.f64 (PI.f64) x) (+.f64 eps x)) #s(literal 2 binary64)))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(approx (sin ( 1/2 (- eps 0))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))))))) #s(literal -2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 eps x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (PI.f64) x) (+.f64 eps x)) #s(literal 2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x))))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 eps x)) #s(literal 2 binary64))) (sin.f64 (+.f64 (neg.f64 (.f64 (fabs.f64 (-.f64 x (-.f64 (+.f64 eps x) (PI.f64)))) #s(literal 1/2 binary64))) (.f64 (PI.f64) #s(literal 1/2 binary64))))))
(.f64 #s(approx ( (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) (fma.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 #s(approx ( (+ (* (sin (* 1 x)) (cos (* eps 1/2))) (* (cos (* 1 x)) (sin (* eps 1/2)))) (sin (* 1/2 (- eps 0)))) (fma.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 #s(approx (+ ( (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) (fma.f64 x (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (fma.f64 (.f64 (sin.f64 x) (cos.f64 (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(approx (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps))) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))) #s(literal -2 binary64))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x))) (.f64 (sin.f64 eps) (sin.f64 x)))
(.f64 #s(approx ( (+ (* (sin (* 1 x)) (cos (* eps 1/2))) (* (cos (* 1 x)) (sin (* eps 1/2)))) (sin (* 1/2 (- eps 0)))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (fma.f64 (cos.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x))))) #s(literal -2 binary64))
(.f64 (.f64 (fma.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (cos.f64 x) (sin.f64 (.f64 eps #s(literal 1/2 binary64))))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(.f64 (.f64 (fma.f64 (sin.f64 (.f64 #s(literal 1 binary64) x)) (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) (sin.f64 (.f64 eps #s(literal 1/2 binary64))))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))

Outputs

(*.f64 #s(approx (* (+ (* (sin (* 1 x)) (cos (* eps 1/2))) (* (cos (* 1 x)) (sin (* eps 1/2)))) (sin (* 1/2 (- eps 0)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (fma.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x))))) #s(literal -2 binary64))

Calls

3 calls:

15.0ms	eps
14.0ms	x
13.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
99.7%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.7%	1	`x`
99.7%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes40.0ms (0.4%)

Memory

14.5MiB live, 60.8MiB allocated; 2ms collecting garbage

Counts

55 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) x)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #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 (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (.f64 eps x) (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (/.f64 (-.f64 (.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64))) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))))
(-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) #s(approx (cos x) #s(literal 1 binary64)))
(.f64 #s(approx ( (sin (* 1/2 eps)) -2) (.f64 #s(literal -1 binary64) eps)) (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 eps x) (.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 #s(approx ( -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))) (sin.f64 x))))
(.f64 #s(approx ( (sin (* 1/2 eps)) -2) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (/.f64 (-.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) eps) #s(literal 3 binary64))) (fma.f64 (neg.f64 x) (neg.f64 x) (fma.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal 1/2 binary64) eps) (.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) eps))))))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(approx (sin ( 1/2 (- eps 0))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal -2 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))
(-.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
(.f64 (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps x) x))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(.f64 #s(literal 2 binary64) #s(approx ( (cos (/ (+ (+ (PI) x) (+ eps x)) 2)) (cos (/ (- (+ (PI) x) (+ eps x)) 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 eps (PI.f64)) (.f64 #s(literal -2 binary64) x)))))))
(.f64 (.f64 (neg.f64 (cos.f64 (+.f64 x (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ ( 2 x) eps) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(.f64 #s(approx ( (sin (* 1/2 (+ (* (+ 1 (/ eps x)) x) x))) (sin (* 1/2 (- eps 0)))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))))))) #s(literal -2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 (+.f64 (+.f64 (fabs.f64 x) eps) x) #s(literal 1/2 binary64))) (sin.f64 (.f64 (-.f64 (-.f64 (fabs.f64 x) eps) x) #s(literal 1/2 binary64)))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 eps x) #s(literal -1 binary64)) x x))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x x))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal -2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 #s(approx (/ (+ (+ (PI) x) (+ eps x)) 2) (+.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))) (cos.f64 (/.f64 (-.f64 (+.f64 (PI.f64) x) (+.f64 eps x)) #s(literal 2 binary64)))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(approx (sin ( 1/2 (- eps 0))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))))))) #s(literal -2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 eps x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (PI.f64) x) (+.f64 eps x)) #s(literal 2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x))))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 eps x)) #s(literal 2 binary64))) (sin.f64 (+.f64 (neg.f64 (.f64 (fabs.f64 (-.f64 x (-.f64 (+.f64 eps x) (PI.f64)))) #s(literal 1/2 binary64))) (.f64 (PI.f64) #s(literal 1/2 binary64))))))
(.f64 #s(approx ( (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (- eps 0)))) (fma.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 #s(approx ( (+ (* (sin (* 1 x)) (cos (* eps 1/2))) (* (cos (* 1 x)) (sin (* eps 1/2)))) (sin (* 1/2 (- eps 0)))) (fma.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 #s(approx (+ ( (* (sin x) (cos (* -1/2 eps))) (sin (* 1/2 eps))) (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) (fma.f64 x (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (fma.f64 (.f64 (sin.f64 x) (cos.f64 (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(approx (* (* (cos x) (sin (* 1/2 eps))) (sin (* 1/2 eps))) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))) #s(literal -2 binary64))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x))) (.f64 (sin.f64 eps) (sin.f64 x)))

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

Calls

3 calls:

13.0ms	eps
13.0ms	x
11.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
99.6%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.6%	1	`x`
99.6%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes22.0ms (0.2%)

Memory

-8.9MiB live, 37.7MiB allocated; 1ms collecting garbage

Counts

30 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) x)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #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 (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (.f64 eps x) (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (/.f64 (-.f64 (.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64))) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))))
(-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) #s(approx (cos x) #s(literal 1 binary64)))
(.f64 #s(approx ( (sin (* 1/2 eps)) -2) (.f64 #s(literal -1 binary64) eps)) (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 eps x) (.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 #s(approx ( -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))) (sin.f64 x))))
(.f64 #s(approx ( (sin (* 1/2 eps)) -2) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (/.f64 (-.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) eps) #s(literal 3 binary64))) (fma.f64 (neg.f64 x) (neg.f64 x) (fma.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal 1/2 binary64) eps) (.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) eps))))))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(approx (sin ( 1/2 (- eps 0))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal -2 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))
(-.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
(.f64 (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))

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

Calls

3 calls:

7.0ms	x
7.0ms	eps
6.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
99.6%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.6%	1	`x`
99.6%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes20.0ms (0.2%)

Memory

26.3MiB live, 26.3MiB allocated; 0ms collecting garbage

Counts

28 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) x)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #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 (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (.f64 eps x) (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (/.f64 (-.f64 (.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64))) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))))
(-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) #s(approx (cos x) #s(literal 1 binary64)))
(.f64 #s(approx ( (sin (* 1/2 eps)) -2) (.f64 #s(literal -1 binary64) eps)) (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 eps x) (.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 #s(approx ( -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))) (sin.f64 x))))
(.f64 #s(approx ( (sin (* 1/2 eps)) -2) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (/.f64 (-.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) eps) #s(literal 3 binary64))) (fma.f64 (neg.f64 x) (neg.f64 x) (fma.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal 1/2 binary64) eps) (.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) eps))))))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(approx (sin ( 1/2 (- eps 0))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal -2 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))
(-.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.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))))

Outputs

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

Calls

3 calls:

7.0ms	x
7.0ms	eps
5.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
99.3%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.3%	1	`x`
99.3%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes25.0ms (0.2%)

Memory

-30.8MiB live, 15.7MiB allocated; 3ms collecting garbage

Counts

19 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) x)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #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 (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (.f64 eps x) (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (/.f64 (-.f64 (.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64))) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))))
(-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) #s(approx (cos x) #s(literal 1 binary64)))
(.f64 #s(approx ( (sin (* 1/2 eps)) -2) (.f64 #s(literal -1 binary64) eps)) (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 eps x) (.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 #s(approx ( -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))) (sin.f64 x))))

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

Calls

3 calls:

14.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
5.0ms	eps
5.0ms	x

Results

Accuracy	Segments	Branch
99.0%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.0%	1	`x`
99.0%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes13.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated; 0ms collecting garbage

Counts

16 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) x)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #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 (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (.f64 eps x) (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (/.f64 (-.f64 (.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64))) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))))
(-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) #s(approx (cos x) #s(literal 1 binary64)))

Outputs

#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))))

Calls

3 calls:

4.0ms	eps
4.0ms	x
3.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
98.4%	1	`x`
98.4%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
98.4%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes7.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated; 0ms collecting garbage

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) x)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #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)) (.f64 #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) eps))

Calls

3 calls:

3.0ms	x
3.0ms	eps
2.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
97.9%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
97.9%	1	`x`
97.9%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes3.0ms (0%)

Memory

5.5MiB live, 5.5MiB allocated; 0ms collecting garbage

Accuracy

Total -15.8b remaining (-122.9%)

Threshold costs -15.8b (-122.9%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

1.0ms	eps
1.0ms	x
1.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
79.9%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
79.9%	1	`x`
79.9%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

derivations233.0ms (2.3%)

Memory

-14.0MiB live, 84.9MiB allocated; 38ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 130 to 99 computations (23.8% saved)

preprocess78.0ms (0.8%)

Memory: 35.2MiB live, 173.3MiB allocated; 19ms collecting garbage
Compiler: Compiled 164 to 130 computations (20.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze33.0ms (0.3%)

sample6.9s (68%)

preprocess40.0ms (0.4%)

series12.0ms (0.1%)

rewrite239.0ms (2.4%)

eval39.0ms (0.4%)

prune16.0ms (0.2%)

series140.0ms (1.4%)

rewrite266.0ms (2.6%)

eval183.0ms (1.8%)

prune37.0ms (0.4%)

series136.0ms (1.3%)

rewrite321.0ms (3.2%)

eval270.0ms (2.7%)

prune43.0ms (0.4%)

series106.0ms (1.1%)

rewrite580.0ms (5.8%)

eval179.0ms (1.8%)

prune46.0ms (0.5%)

regimes50.0ms (0.5%)

regimes44.0ms (0.4%)

regimes40.0ms (0.4%)

regimes22.0ms (0.2%)

regimes20.0ms (0.2%)

regimes25.0ms (0.2%)

regimes13.0ms (0.1%)

regimes7.0ms (0.1%)

regimes3.0ms (0%)

derivations233.0ms (2.3%)

preprocess78.0ms (0.8%)

end0.0ms (0%)

Profiling