Metrics for 2sin (example 3.3)

start0.0ms (0%)

Memory: 0.2MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze31.0ms (0.4%)

Memory

-5.1MiB live, 38.0MiB allocated; 7ms 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)

sample4.1s (58.2%)

Memory

136.0MiB live, 4 098.6MiB allocated; 1.5s collecting garbage

Samples

1.8s	25 823×	0	invalid
711.0ms	5 616×	1	valid
170.0ms	2 640×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.6s

ival-sin: 567.0ms (35% of total)

ival-fabs: 253.0ms (15.6% of total)

adjust: 176.0ms (10.9% of total)

ival-add!: 158.0ms (9.8% of total)

ival-mult!: 153.0ms (9.4% of total)

ival-<: 145.0ms (9% of total)

ival-sub!: 97.0ms (6% of total)

ival-and: 60.0ms (3.7% of total)

ival-assert: 12.0ms (0.7% of total)

Bogosity

preprocess49.0ms (0.7%)

Memory

-25.3MiB live, 29.3MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	46
1	99	42
2	509	42
3	3308	42

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.1%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Compiler

Compiled 12 to 12 computations (0% saved)

series9.0ms (0.1%)

Memory

15.7MiB live, 15.7MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	488

Stop Event

1×	iter-limit

Counts

6 → 31

Calls

Call 1

Inputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(sin.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(sin.f64 x)

Outputs
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 eps) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 eps) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/6 binary64) (cos.f64 eps))))))) #s(literal 1 binary64)))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (.f64 #s(literal -1/6 binary64) (.f64 x (cos.f64 eps)))))))))
#s(approx (+ x eps) eps)
#s(approx (+ x eps) (+.f64 eps x))
#s(approx 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 (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (sin (+ x eps)) (sin.f64 (+.f64 eps x)))
#s(approx (+ x eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (sin x) (sin.f64 x))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x)))
#s(approx (sin (+ x eps)) (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))))
#s(approx (+ x eps) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 x) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 x) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x)))))))))
#s(approx (+ x eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x)))
#s(approx (sin (+ x eps)) (sin.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	((- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) x eps (sin x))
1.0ms	x	@	-inf	((- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) x eps (sin x))
1.0ms	eps	@	-inf	((- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) x eps (sin x))
1.0ms	x	@	0	((- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) x eps (sin x))
1.0ms	x	@	inf	((- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) x eps (sin x))

rewrite490.0ms (6.9%)

Memory

35.5MiB live, 165.0MiB allocated; 61ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	64	18
2	534	18
3	5716	18
0	8971	18
1	31339	18

Stop Event

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

Counts

6 → 97

Calls

Call 1

Inputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(sin.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(sin.f64 x)

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

eval27.0ms (0.4%)

Memory: -46.2MiB live, 15.6MiB allocated; 7ms collecting garbage
Compiler: Compiled 1 209 to 407 computations (66.3% saved)

prune6.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	116	8	124
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	116	9	125

Accuracy

100.0%

Counts

125 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	3.4%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 (neg.f64 x) (PI.f64))))
✓	61.1%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	60.3%	(-.f64 (sin.f64 #s(approx (+ x eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))) (sin.f64 x))
	99.9%	(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
▶	100.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))))))
▶	99.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x))))))))
▶	99.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
	99.3%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
▶	98.5%	#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))

Compiler

Compiled 216 to 210 computations (2.8% saved)

series52.0ms (0.7%)

Memory

21.9MiB live, 66.8MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	691	4333

Stop Event

1×	iter-limit

Counts

36 → 168

Calls

Call 1

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

Outputs
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 eps) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 eps) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/6 binary64) (cos.f64 eps))))))) #s(literal 1 binary64)))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (fma.f64 eps (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (fma.f64 x (fma.f64 eps (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/144 binary64) (pow.f64 eps #s(literal 2 binary64))))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (-.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/144 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal 1/2 binary64))))))))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx x x)
#s(approx (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
#s(approx (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))
#s(approx (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (fma.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/144 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))))
#s(approx (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) (*.f64 #s(literal -1/6 binary64) eps))
#s(approx (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/12 binary64) (*.f64 eps x))) #s(literal 1/2 binary64)))))
#s(approx (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/12 binary64) eps (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/144 binary64) (pow.f64 eps #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 (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
#s(approx (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/12 binary64) (*.f64 eps x))))))
#s(approx (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/144 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x) (.f64 #s(literal 1/12 binary64) eps)))))))
#s(approx (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))) #s(literal -1/6 binary64))
#s(approx (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps x)) #s(literal 1/6 binary64)))
#s(approx (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))) (-.f64 (.f64 x (fma.f64 #s(literal 1/24 binary64) eps (.f64 #s(literal 1/12 binary64) x))) #s(literal 1/6 binary64)))
#s(approx (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))) (-.f64 (.f64 x (fma.f64 #s(literal 1/24 binary64) eps (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/144 binary64) (.f64 eps x)))))) #s(literal 1/6 binary64)))
#s(approx (* 1/24 (* eps (sin x))) (.f64 #s(literal 1/24 binary64) (.f64 eps x)))
#s(approx (* 1/24 (* eps (sin x))) (.f64 x (fma.f64 #s(literal -1/144 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) eps))))
#s(approx (* 1/24 (* eps (sin x))) (.f64 x (fma.f64 #s(literal 1/24 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/144 binary64) eps (.f64 #s(literal 1/2880 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (* 1/24 (* eps (sin x))) (.f64 x (fma.f64 #s(literal 1/24 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/144 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/120960 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2880 binary64) eps))))))))
#s(approx (* eps (sin x)) (*.f64 eps x))
#s(approx (* eps (sin x)) (.f64 x (+.f64 eps (.f64 #s(literal -1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* eps (sin x)) (.f64 x (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) eps (.f64 #s(literal 1/120 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (* eps (sin x)) (.f64 x (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/120 binary64) eps))))))))
#s(approx (- (sin (+ x eps)) (sin (+ (neg x) (PI)))) (-.f64 (sin.f64 eps) (sin.f64 (PI.f64))))
#s(approx (- (sin (+ x eps)) (sin (+ (neg x) (PI)))) (-.f64 (+.f64 (sin.f64 eps) (.f64 x (-.f64 (cos.f64 eps) (.f64 #s(literal -1 binary64) (cos.f64 (PI.f64)))))) (sin.f64 (PI.f64))))
#s(approx (- (sin (+ x eps)) (sin (+ (neg x) (PI)))) (-.f64 (+.f64 (sin.f64 eps) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (.f64 #s(literal -1/2 binary64) (sin.f64 (PI.f64)))))) (*.f64 #s(literal -1 binary64) (cos.f64 (PI.f64)))))) (sin.f64 (PI.f64))))
#s(approx (- (sin (+ x eps)) (sin (+ (neg x) (PI)))) (-.f64 (+.f64 (sin.f64 eps) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 x (-.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (.f64 x (-.f64 (.f64 #s(literal -1/6 binary64) (cos.f64 eps)) (.f64 #s(literal 1/6 binary64) (cos.f64 (PI.f64)))))) (.f64 #s(literal -1/2 binary64) (sin.f64 (PI.f64)))))) (*.f64 #s(literal -1 binary64) (cos.f64 (PI.f64)))))) (sin.f64 (PI.f64))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (.f64 #s(literal -1/6 binary64) (.f64 x (cos.f64 eps)))))))))
#s(approx (+ x eps) eps)
#s(approx (+ x eps) (+.f64 eps x))
#s(approx (sin (+ (neg x) (PI))) (sin.f64 (PI.f64)))
#s(approx (sin (+ (neg x) (PI))) (+.f64 (sin.f64 (PI.f64)) (.f64 #s(literal -1 binary64) (.f64 x (cos.f64 (PI.f64))))))
#s(approx (sin (+ (neg x) (PI))) (+.f64 (sin.f64 (PI.f64)) (.f64 x (fma.f64 #s(literal -1 binary64) (cos.f64 (PI.f64)) (.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 (PI.f64))))))))
#s(approx (sin (+ (neg x) (PI))) (+.f64 (sin.f64 (PI.f64)) (.f64 x (fma.f64 #s(literal -1 binary64) (cos.f64 (PI.f64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (PI.f64)) (.f64 #s(literal 1/6 binary64) (.f64 x (cos.f64 (PI.f64))))))))))
#s(approx (+ (neg x) (PI)) (PI.f64))
#s(approx (+ (neg x) (PI)) (+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) x)))
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
#s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+.f64 eps (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+.f64 eps (.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))))
#s(approx (+ (cos x) (* -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x))))
#s(approx (+ (cos x) (* -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal -1/2 binary64) x)))))
#s(approx (+ (cos x) (* -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64)))))))
#s(approx (* -1/2 (* eps (sin x))) (.f64 #s(literal -1/2 binary64) (.f64 eps x)))
#s(approx (* -1/2 (* eps (sin x))) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* -1/2 (* eps (sin x))) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/240 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/12 binary64) eps))))))
#s(approx (* -1/2 (* eps (sin x))) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/240 binary64) eps (.f64 #s(literal 1/10080 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (fma.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x) (.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x) (.f64 eps (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps x) (.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))))
#s(approx (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))) (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
#s(approx (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 eps x) (.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))
#s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) eps)))
#s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))
#s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/12 binary64) eps (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))
#s(approx (* -1/6 (* eps (cos x))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 #s(literal 1/12 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* -1/6 (* eps (cos x))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/144 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/12 binary64) eps)))))
#s(approx (* -1/6 (* eps (cos x))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/144 binary64) eps (.f64 #s(literal 1/4320 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 (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (sin.f64 x)))))))))
#s(approx (cos x) (cos.f64 x))
#s(approx (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (sin.f64 x))))))))
#s(approx (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))
#s(approx (sin x) (sin.f64 x))
#s(approx (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))
#s(approx (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))) (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (sin.f64 x)))))
#s(approx (* 1/24 (* eps (sin x))) (.f64 #s(literal 1/24 binary64) (.f64 eps (sin.f64 x))))
#s(approx (* eps (sin x)) (*.f64 eps (sin.f64 x)))
#s(approx (- (sin (+ x eps)) (sin (+ (neg x) (PI)))) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 (PI.f64) x))))
#s(approx (sin (+ x eps)) (sin.f64 (+.f64 eps x)))
#s(approx (+ x eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (sin (+ (neg x) (PI))) (sin.f64 (-.f64 (PI.f64) x)))
#s(approx (+ (neg x) (PI)) (*.f64 x (-.f64 (/.f64 (PI.f64) x) #s(literal 1 binary64))))
#s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
#s(approx (+ (cos x) (* -1/2 (* eps (sin x)))) (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))))
#s(approx (* -1/2 (* eps (sin x))) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x))))))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
#s(approx (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))
#s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x)))))
#s(approx (* -1/6 (* eps (cos x))) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x))))
#s(approx (* eps (cos x)) (*.f64 eps (cos.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x)))
#s(approx (- (sin (+ x eps)) (sin (+ (neg x) (PI)))) (-.f64 (sin.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x))) (sin.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) x)))))
#s(approx (sin (+ x eps)) (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))))
#s(approx (+ x eps) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (sin (+ (neg x) (PI))) (sin.f64 (+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) x))))
#s(approx (+ (neg x) (PI)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) x))))))
#s(approx (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
#s(approx (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))) (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))
#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 (- (sin (+ x eps)) (sin (+ (neg x) (PI)))) (-.f64 (sin.f64 x) (sin.f64 (-.f64 (PI.f64) x))))
#s(approx (- (sin (+ x eps)) (sin (+ (neg x) (PI)))) (-.f64 (+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x))) (sin.f64 (-.f64 (PI.f64) x))))
#s(approx (- (sin (+ x eps)) (sin (+ (neg x) (PI)))) (-.f64 (+.f64 (sin.f64 x) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))) (sin.f64 (-.f64 (PI.f64) x))))
#s(approx (- (sin (+ x eps)) (sin (+ (neg x) (PI)))) (-.f64 (+.f64 (sin.f64 x) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x)))))))) (sin.f64 (-.f64 (PI.f64) x))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 x) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 x) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x)))))))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 eps #s(literal 4 binary64)) (sin.f64 x))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/24 binary64) (sin.f64 x)))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/24 binary64) (sin.f64 x))))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 3 binary64))))))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (sin.f64 x))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/24 binary64) (sin.f64 x)))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/24 binary64) (sin.f64 x))))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 3 binary64))))))))
#s(approx (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))))
#s(approx (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/24 binary64) (sin.f64 x)))))
#s(approx (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/24 binary64) (sin.f64 x))))))
#s(approx (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/24 binary64) (sin.f64 x)))))
#s(approx (+ x eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))))
#s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))))
#s(approx (+ (cos x) (* -1/2 (* eps (sin x)))) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (cos.f64 x))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/6 binary64) (cos.f64 x)))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/6 binary64) (cos.f64 x)))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/6 binary64) (cos.f64 x)))))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x)))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))) eps) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps) (.f64 #s(literal 1/6 binary64) (cos.f64 x))) eps) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (cos.f64 x) eps))))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/6 binary64) (cos.f64 x))) eps) (.f64 #s(literal -1/24 binary64) (sin.f64 x))))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) eps) (.f64 #s(literal -1/6 binary64) (cos.f64 x))) eps) (*.f64 #s(literal -1/24 binary64) (sin.f64 x))))))
#s(approx (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))) eps) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))))
#s(approx (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (cos.f64 x) eps))))))
#s(approx (- (sin (+ x eps)) (sin (+ (neg x) (PI)))) (-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 (-.f64 (PI.f64) x))))
#s(approx (sin (+ x eps)) (sin.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) (* -1/2 (* eps (sin x)))) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps) (*.f64 #s(literal 1/6 binary64) (cos.f64 x))))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) eps) (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))))
#s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal 1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))))))

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	eps	@	0	((- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))) eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (cos x) x (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))) (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) -1/2 (sin x) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))) (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))) -1/6 (* 1/24 (* eps (sin x))) 1/24 (* eps (sin x)) (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin (+ (neg x) (PI)))) (sin (+ x eps)) (+ x eps) (sin (+ (neg x) (PI))) (+ (neg x) (PI)) (neg x) (PI) (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+ (cos x) (* -1/2 (* eps (sin x)))) (* -1/2 (* eps (sin x))) (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))) (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (* -1/6 (* eps (cos x))) (* eps (cos x)))
5.0ms	eps	@	-inf	((- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))) eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (cos x) x (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))) (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) -1/2 (sin x) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))) (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))) -1/6 (* 1/24 (* eps (sin x))) 1/24 (* eps (sin x)) (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin (+ (neg x) (PI)))) (sin (+ x eps)) (+ x eps) (sin (+ (neg x) (PI))) (+ (neg x) (PI)) (neg x) (PI) (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+ (cos x) (* -1/2 (* eps (sin x)))) (* -1/2 (* eps (sin x))) (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))) (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (* -1/6 (* eps (cos x))) (* eps (cos x)))
5.0ms	x	@	inf	((- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))) eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (cos x) x (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))) (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) -1/2 (sin x) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))) (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))) -1/6 (* 1/24 (* eps (sin x))) 1/24 (* eps (sin x)) (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin (+ (neg x) (PI)))) (sin (+ x eps)) (+ x eps) (sin (+ (neg x) (PI))) (+ (neg x) (PI)) (neg x) (PI) (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+ (cos x) (* -1/2 (* eps (sin x)))) (* -1/2 (* eps (sin x))) (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))) (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (* -1/6 (* eps (cos x))) (* eps (cos x)))
5.0ms	x	@	-inf	((- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))) eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (cos x) x (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))) (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) -1/2 (sin x) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))) (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))) -1/6 (* 1/24 (* eps (sin x))) 1/24 (* eps (sin x)) (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin (+ (neg x) (PI)))) (sin (+ x eps)) (+ x eps) (sin (+ (neg x) (PI))) (+ (neg x) (PI)) (neg x) (PI) (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+ (cos x) (* -1/2 (* eps (sin x)))) (* -1/2 (* eps (sin x))) (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))) (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (* -1/6 (* eps (cos x))) (* eps (cos x)))
5.0ms	x	@	0	((- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))) eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (cos x) x (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))) (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) -1/2 (sin x) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))) (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))) -1/6 (* 1/24 (* eps (sin x))) 1/24 (* eps (sin x)) (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin (+ (neg x) (PI)))) (sin (+ x eps)) (+ x eps) (sin (+ (neg x) (PI))) (+ (neg x) (PI)) (neg x) (PI) (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+ (cos x) (* -1/2 (* eps (sin x)))) (* -1/2 (* eps (sin x))) (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))) (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (* -1/6 (* eps (cos x))) (* eps (cos x)))

rewrite202.0ms (2.8%)

Memory

-6.0MiB live, 153.0MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	325
0	69	323
1	360	320
2	3383	320
0	8350	311
1	26043	311

Stop Event

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

Counts

36 → 376

Calls

Call 1

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

Outputs
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
(.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps)
(.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)))
(fma.f64 (.f64 eps eps) (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (*.f64 (cos.f64 x) eps))
(fma.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) eps (*.f64 (cos.f64 x) eps))
(fma.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps) (*.f64 (cos.f64 x) eps))
(fma.f64 (cos.f64 x) eps (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps)))
(fma.f64 eps (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) (*.f64 (cos.f64 x) eps))
(fma.f64 eps (cos.f64 x) (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps)))
(-.f64 (.f64 (cos.f64 x) eps) (.f64 (neg.f64 eps) (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps)))
(-.f64 (.f64 (cos.f64 x) eps) (.f64 (.f64 (neg.f64 eps) (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64)))) eps))
(-.f64 (.f64 (cos.f64 x) eps) (neg.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps))))
(+.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)) (.f64 (cos.f64 x) eps))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)))
eps
(neg.f64 (-.f64 (.f64 (neg.f64 eps) (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64)))) (cos.f64 x)))
(fma.f64 (.f64 #s(literal -1/2 binary64) eps) (sin.f64 x) (fma.f64 eps (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps) (cos.f64 x)))
(fma.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps (fma.f64 eps (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps) (cos.f64 x)))
(fma.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps (cos.f64 x))
(fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (fma.f64 eps (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps) (cos.f64 x)))
(fma.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) eps) (fma.f64 eps (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps) (cos.f64 x)))
(fma.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 x) eps) (fma.f64 eps (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps) (cos.f64 x)))
(fma.f64 eps (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (fma.f64 eps (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps) (cos.f64 x)))
(fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x))
(-.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 x) (.f64 (neg.f64 eps) (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64)))))
(+.f64 (.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps) (fma.f64 eps (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps) (cos.f64 x)))
(+.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 eps eps)))
(+.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) (cos.f64 x))
(+.f64 (cos.f64 x) (.f64 (neg.f64 (neg.f64 eps)) (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64)))))
(+.f64 (cos.f64 x) (neg.f64 (.f64 (neg.f64 eps) (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))))))
(+.f64 (cos.f64 x) (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps))
(sin.f64 (+.f64 (neg.f64 (fabs.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (fabs.f64 (fabs.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (neg.f64 (neg.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (fabs.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))
(fma.f64 (sin.f64 (fabs.f64 x)) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(fma.f64 (sin.f64 x) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(-.f64 (.f64 (sin.f64 x) #s(literal 0 binary64)) (.f64 (cos.f64 x) (sin.f64 (neg.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(cos.f64 (neg.f64 (neg.f64 (fabs.f64 x))))
(cos.f64 (neg.f64 (fabs.f64 (fabs.f64 x))))
(cos.f64 (fabs.f64 (neg.f64 (fabs.f64 x))))
(cos.f64 (fabs.f64 (fabs.f64 (fabs.f64 x))))
(cos.f64 (fabs.f64 (neg.f64 (neg.f64 x))))
(cos.f64 (neg.f64 (neg.f64 (neg.f64 x))))
(cos.f64 (neg.f64 (fabs.f64 x)))
(cos.f64 (fabs.f64 (fabs.f64 x)))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (fabs.f64 x))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (.f64 (sin.f64 (fabs.f64 x)) #s(literal 0 binary64)) (.f64 (cos.f64 x) #s(literal 1 binary64)))
(+.f64 (.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64)) (.f64 (cos.f64 x) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 #s(literal 0 binary64) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 x) #s(literal 0 binary64)) (.f64 (cos.f64 x) #s(literal 1 binary64)))
x
(.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps)
(.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))))
(fma.f64 (.f64 #s(literal -1/2 binary64) eps) (sin.f64 x) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 eps eps)))
(fma.f64 (.f64 eps eps) (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps))
(fma.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 eps eps)))
(fma.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps) eps (.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps))
(fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 eps eps) (.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps))
(fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 eps eps)))
(fma.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) eps) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 eps eps)))
(fma.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 x) eps) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 eps eps)))
(fma.f64 eps (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 eps eps)))
(fma.f64 eps (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps) (.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps))
(-.f64 (.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps) (.f64 (neg.f64 eps) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps)))
(-.f64 (.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps) (.f64 (.f64 (neg.f64 eps) (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)))) eps))
(-.f64 (.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps) (neg.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 eps eps))))
(+.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 eps eps)) (.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps))
(+.f64 (.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 eps eps)))
(neg.f64 (-.f64 (.f64 (neg.f64 eps) (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))))
(fma.f64 (.f64 #s(literal -1/6 binary64) eps) (cos.f64 x) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal -1/2 binary64))))
(fma.f64 (.f64 #s(literal -1/6 binary64) (cos.f64 x)) eps (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal -1/2 binary64))))
(fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal -1/2 binary64))))
(fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/6 binary64) (.f64 (cos.f64 x) eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal -1/2 binary64))))
(fma.f64 (sin.f64 x) #s(literal -1/2 binary64) (.f64 (neg.f64 (neg.f64 eps)) (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)))))
(fma.f64 (sin.f64 x) #s(literal -1/2 binary64) (neg.f64 (.f64 (neg.f64 eps) (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))))))
(fma.f64 (sin.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps))
(fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (neg.f64 (neg.f64 eps)) (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)))))
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(.f64 (.f64 #s(literal -1/6 binary64) (cos.f64 x)) eps)
(.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))
(.f64 #s(literal -1/6 binary64) (.f64 (cos.f64 x) eps))
(.f64 (cos.f64 x) (.f64 #s(literal -1/6 binary64) eps))
(.f64 eps (.f64 #s(literal -1/6 binary64) (cos.f64 x)))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))

eval170.0ms (2.4%)

Memory: -2.0MiB live, 132.5MiB allocated; 19ms collecting garbage
Compiler: Compiled 7 820 to 3 080 computations (60.6% saved)

prune67.0ms (0.9%)

Memory

-23.0MiB live, 31.4MiB allocated; 9ms collecting garbage

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	590	17	607
Fresh	0	3	3
Picked	5	0	5
Done	0	1	1
Total	595	21	616

Accuracy

100.0%

Counts

616 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.4%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 (PI.f64) x)))
▶	3.4%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (neg.f64 (+.f64 (-.f64 (PI.f64) x) (PI.f64)))))
✓	61.1%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	60.3%	(-.f64 (sin.f64 #s(approx (+ x eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))) (sin.f64 x))
	99.9%	(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
▶	100.0%	#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps))))
	99.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	99.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 (sin.f64 x) #s(literal -1/2 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) (cos.f64 x)) eps))
	100.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
	99.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps #s(approx (+ ( -1/6 (cos x)) (* 1/24 (* eps (sin x)))) #s(literal -1/6 binary64))))))))
	99.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) (*.f64 #s(literal -1/6 binary64) eps))))))
▶	99.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/12 binary64) eps (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))))))
	99.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) eps)))))))
	99.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))))
	99.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) #s(approx ( -1/2 (* eps (sin x))) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))))
▶	99.3%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
	98.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
	98.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))))
	98.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal -1/2 binary64) x)))))))
▶	98.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x))))))
	40.6%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))))))))

Compiler

Compiled 816 to 770 computations (5.6% saved)

series99.0ms (1.4%)

Memory

8.7MiB live, 97.5MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	810	5026

Stop Event

1×	iter-limit

Counts

46 → 207

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps))))
(fma.f64 (cos.f64 x) eps (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps)))
(cos.f64 x)
x
eps
(.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps))
(fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)))
#s(literal -1/6 binary64)
(.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))
(*.f64 (sin.f64 x) eps)
(sin.f64 x)
#s(literal 1/24 binary64)
(*.f64 (sin.f64 x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 eps eps)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x))))))
(.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x)))))
#s(approx (+ (cos x) (* -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x)))
#s(literal 1 binary64)
(.f64 #s(literal -1/2 binary64) (.f64 eps x))
(*.f64 eps x)
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
(*.f64 eps (cos.f64 x))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/12 binary64) eps (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/12 binary64) eps (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64))))))))
(+.f64 (cos.f64 x) (.f64 eps #s(approx (+ ( -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/12 binary64) eps (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))))
(.f64 eps #s(approx (+ ( -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/12 binary64) eps (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64))))))
#s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/12 binary64) eps (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/12 binary64) eps (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64))))
(.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/12 binary64) eps (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))
(-.f64 (.f64 x (fma.f64 #s(literal 1/12 binary64) eps (.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64))
(.f64 x (fma.f64 #s(literal 1/12 binary64) eps (.f64 #s(literal 1/12 binary64) x)))
(fma.f64 #s(literal 1/12 binary64) eps (*.f64 #s(literal 1/12 binary64) x))
#s(literal 1/12 binary64)
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1/2 binary64)
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (neg.f64 (+.f64 (-.f64 (PI.f64) x) (PI.f64)))))
(sin.f64 (+.f64 x eps))
(+.f64 x eps)
(sin.f64 (neg.f64 (+.f64 (-.f64 (PI.f64) x) (PI.f64))))
(neg.f64 (+.f64 (-.f64 (PI.f64) x) (PI.f64)))
(+.f64 (-.f64 (PI.f64) x) (PI.f64))
(-.f64 (PI.f64) x)
(PI.f64)

Outputs
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 eps) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 eps) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/6 binary64) (cos.f64 eps))))))) #s(literal 1 binary64)))))
#s(approx (+ (* (cos x) eps) (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (* eps eps))) (+.f64 eps (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64)))))
#s(approx (+ (* (cos x) eps) (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (* eps eps))) (+.f64 eps (fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))
#s(approx (+ (* (cos x) eps) (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (* eps eps))) (+.f64 eps (fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 x (fma.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 3 binary64)))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))))
#s(approx (+ (* (cos x) eps) (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (* eps eps))) (+.f64 eps (fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 x (fma.f64 x (fma.f64 #s(literal -1/2 binary64) eps (fma.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/144 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx x x)
#s(approx (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (* eps eps)) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (* eps eps)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
#s(approx (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (* eps eps)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) x) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))
#s(approx (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (* eps eps)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 x (fma.f64 x (fma.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/144 binary64) (pow.f64 eps #s(literal 2 binary64))))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))
#s(approx (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps))
#s(approx (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/12 binary64) (*.f64 eps x))) #s(literal 1/2 binary64)))))
#s(approx (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/12 binary64) eps (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/144 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) #s(literal 1/2 binary64)))))
#s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(literal -1/6 binary64))
#s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps x)) #s(literal 1/6 binary64)))
#s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) (-.f64 (.f64 x (fma.f64 #s(literal 1/24 binary64) eps (.f64 #s(literal 1/12 binary64) x))) #s(literal 1/6 binary64)))
#s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) (-.f64 (.f64 x (fma.f64 #s(literal 1/24 binary64) eps (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/144 binary64) (.f64 eps x)))))) #s(literal 1/6 binary64)))
#s(approx (* (* (sin x) eps) 1/24) (.f64 #s(literal 1/24 binary64) (.f64 eps x)))
#s(approx (* (* (sin x) eps) 1/24) (.f64 x (fma.f64 #s(literal -1/144 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) eps))))
#s(approx (* (* (sin x) eps) 1/24) (.f64 x (fma.f64 #s(literal 1/24 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/144 binary64) eps (.f64 #s(literal 1/2880 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (* (* (sin x) eps) 1/24) (.f64 x (fma.f64 #s(literal 1/24 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/144 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/120960 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2880 binary64) eps))))))))
#s(approx (* (sin x) eps) (*.f64 eps x))
#s(approx (* (sin x) eps) (.f64 x (+.f64 eps (.f64 #s(literal -1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (sin x) eps) (.f64 x (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) eps (.f64 #s(literal 1/120 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (* (sin x) eps) (.f64 x (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/120 binary64) eps))))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (* (sin x) -1/2) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* (sin x) -1/2) (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (* (sin x) -1/2) (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/240 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
#s(approx (* (sin x) -1/2) (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/10080 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/240 binary64))))) #s(literal 1/2 binary64))))
#s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) eps)
#s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
#s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+.f64 eps (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+.f64 eps (.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))))
#s(approx (+ (cos x) (* -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x))))
#s(approx (+ (cos x) (* -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal -1/2 binary64) x)))))
#s(approx (+ (cos x) (* -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64)))))))
#s(approx (* -1/2 (* eps x)) (.f64 #s(literal -1/2 binary64) (.f64 eps x)))
#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 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (fma.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x) (.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x) (.f64 eps (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps x) (.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))))
#s(approx (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))) (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
#s(approx (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 eps x) (.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))
#s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) eps)))
#s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))
#s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/12 binary64) eps (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))
#s(approx (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2)) (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))))
#s(approx (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2)) (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/12 binary64) eps (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64))))
#s(approx (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2) (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64)))
#s(approx (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2) (-.f64 (.f64 x (fma.f64 #s(literal 1/12 binary64) eps (.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))
#s(approx (* x (+ (* 1/12 eps) (* 1/12 x))) (.f64 #s(literal 1/12 binary64) (.f64 eps x)))
#s(approx (* x (+ (* 1/12 eps) (* 1/12 x))) (.f64 x (fma.f64 #s(literal 1/12 binary64) eps (.f64 #s(literal 1/12 binary64) x))))
#s(approx (+ (* 1/12 eps) (* 1/12 x)) (*.f64 #s(literal 1/12 binary64) eps))
#s(approx (+ (* 1/12 eps) (* 1/12 x)) (fma.f64 #s(literal 1/12 binary64) eps (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (* 1/12 x) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (- (sin (+ x eps)) (sin (neg (+ (- (PI) x) (PI))))) (-.f64 (sin.f64 eps) (sin.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))))
#s(approx (- (sin (+ x eps)) (sin (neg (+ (- (PI) x) (PI))))) (-.f64 (+.f64 (sin.f64 eps) (.f64 x (-.f64 (cos.f64 eps) (cos.f64 (neg.f64 (.f64 #s(literal 2 binary64) (PI.f64))))))) (sin.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))))
#s(approx (- (sin (+ x eps)) (sin (neg (+ (- (PI) x) (PI))))) (-.f64 (+.f64 (sin.f64 eps) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (.f64 #s(literal -1/2 binary64) (sin.f64 (neg.f64 (.f64 #s(literal 2 binary64) (PI.f64)))))))) (cos.f64 (neg.f64 (.f64 #s(literal 2 binary64) (PI.f64))))))) (sin.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))))
#s(approx (- (sin (+ x eps)) (sin (neg (+ (- (PI) x) (PI))))) (-.f64 (+.f64 (sin.f64 eps) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 x (-.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (.f64 x (-.f64 (.f64 #s(literal -1/6 binary64) (cos.f64 eps)) (.f64 #s(literal -1/6 binary64) (cos.f64 (neg.f64 (.f64 #s(literal 2 binary64) (PI.f64)))))))) (.f64 #s(literal -1/2 binary64) (sin.f64 (neg.f64 (.f64 #s(literal 2 binary64) (PI.f64)))))))) (cos.f64 (neg.f64 (.f64 #s(literal 2 binary64) (PI.f64))))))) (sin.f64 (neg.f64 (.f64 #s(literal 2 binary64) (PI.f64))))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (.f64 #s(literal -1/6 binary64) (.f64 x (cos.f64 eps)))))))))
#s(approx (+ x eps) (+.f64 eps x))
#s(approx (sin (neg (+ (- (PI) x) (PI)))) (sin.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))
#s(approx (sin (neg (+ (- (PI) x) (PI)))) (+.f64 (sin.f64 (neg.f64 (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 x (cos.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))))
#s(approx (sin (neg (+ (- (PI) x) (PI)))) (+.f64 (sin.f64 (neg.f64 (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 x (+.f64 (cos.f64 (neg.f64 (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 #s(literal -1/2 binary64) (.f64 x (sin.f64 (neg.f64 (.f64 #s(literal 2 binary64) (PI.f64))))))))))
#s(approx (sin (neg (+ (- (PI) x) (PI)))) (+.f64 (sin.f64 (neg.f64 (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 x (+.f64 (cos.f64 (neg.f64 (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (neg.f64 (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 #s(literal -1/6 binary64) (.f64 x (cos.f64 (neg.f64 (.f64 #s(literal 2 binary64) (PI.f64))))))))))))
#s(approx (neg (+ (- (PI) x) (PI))) (*.f64 #s(literal -2 binary64) (PI.f64)))
#s(approx (neg (+ (- (PI) x) (PI))) (-.f64 x (*.f64 #s(literal 2 binary64) (PI.f64))))
#s(approx (+ (- (PI) x) (PI)) (*.f64 #s(literal 2 binary64) (PI.f64)))
#s(approx (+ (- (PI) x) (PI)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 2 binary64) (PI.f64))))
#s(approx (- (PI) x) (PI.f64))
#s(approx (- (PI) x) (+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) x)))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (+ (* (cos x) eps) (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (* eps eps))) (fma.f64 eps (cos.f64 x) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (sin.f64 x)))))))))
#s(approx (cos x) (cos.f64 x))
#s(approx (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (* eps eps)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (sin.f64 x))))))))
#s(approx (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))
#s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (sin.f64 x)))))
#s(approx (* (* (sin x) eps) 1/24) (.f64 #s(literal 1/24 binary64) (.f64 eps (sin.f64 x))))
#s(approx (* (sin x) eps) (*.f64 eps (sin.f64 x)))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (sin x) -1/2) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
#s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
#s(approx (+ (cos x) (* -1/2 (* eps (sin x)))) (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))))
#s(approx (+ 1 (* -1/2 (* eps x))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (/.f64 #s(literal 1 binary64) x))))
#s(approx (* eps (cos x)) (*.f64 eps (cos.f64 x)))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x))))))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
#s(approx (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))
#s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x)))))
#s(approx (+ (* -1/6 eps) (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2))) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* -1/6 eps) (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2))) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 eps x)))))
#s(approx (+ (* -1/6 eps) (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2))) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 eps x))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ (* -1/6 eps) (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2))) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1/12 binary64) (fma.f64 #s(literal -1/6 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/12 binary64) (/.f64 eps x)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 eps x)))))
#s(approx (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 eps x))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ (* 1/12 eps) (* 1/12 x)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 eps x)))))
#s(approx (- (sin (+ x eps)) (sin (neg (+ (- (PI) x) (PI))))) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (PI.f64))))))
#s(approx (sin (+ x eps)) (sin.f64 (+.f64 eps x)))
#s(approx (+ x eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (sin (neg (+ (- (PI) x) (PI)))) (sin.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (PI.f64)))))
#s(approx (neg (+ (- (PI) x) (PI))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 (PI.f64) x)))))
#s(approx (+ (- (PI) x) (PI)) (*.f64 #s(literal -1 binary64) x))
#s(approx (+ (- (PI) x) (PI)) (.f64 x (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) x)) #s(literal 1 binary64))))
#s(approx (- (PI) x) (*.f64 x (-.f64 (/.f64 (PI.f64) x) #s(literal 1 binary64))))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x)))
#s(approx (+ 1 (* -1/2 (* eps x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* -1/6 eps) (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/12 binary64) (/.f64 eps x)) #s(literal 1/12 binary64)))))
#s(approx (+ (* -1/6 eps) (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1/12 binary64)))))
#s(approx (+ (* -1/6 eps) (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 eps x))) x) (*.f64 #s(literal 1/12 binary64) eps)) x)) #s(literal 1/12 binary64)))))
#s(approx (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/12 binary64) eps (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)))))
#s(approx (+ (* 1/12 eps) (* 1/12 x)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/12 binary64) (/.f64 eps x)) #s(literal 1/12 binary64)))))
#s(approx (- (sin (+ x eps)) (sin (neg (+ (- (PI) x) (PI))))) (-.f64 (sin.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x))) (sin.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal 2 binary64) (PI.f64)))))))
#s(approx (sin (+ x eps)) (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))))
#s(approx (+ x eps) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (sin (neg (+ (- (PI) x) (PI)))) (sin.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 2 binary64) (PI.f64))))))
#s(approx (neg (+ (- (PI) x) (PI))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) x)) #s(literal 1 binary64)))))
#s(approx (+ (- (PI) x) (PI)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (PI.f64) x))))))
#s(approx (- (PI) x) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))))))
#s(approx (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (* eps eps)) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))))
#s(approx (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (* eps eps)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))
#s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))
#s(approx (* eps eps) (pow.f64 eps #s(literal 2 binary64)))
#s(approx (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))))
#s(approx (+ (* -1/6 eps) (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2))) (fma.f64 eps (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)) (.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2)) (fma.f64 #s(literal 1/12 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2) (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2) (-.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps x) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (* x (+ (* 1/12 eps) (* 1/12 x))) (fma.f64 #s(literal 1/12 binary64) (.f64 eps x) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin (neg (+ (- (PI) x) (PI))))) (-.f64 (sin.f64 x) (sin.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (PI.f64))))))
#s(approx (- (sin (+ x eps)) (sin (neg (+ (- (PI) x) (PI))))) (-.f64 (+.f64 (sin.f64 x) (.f64 eps (cos.f64 x))) (sin.f64 (-.f64 x (.f64 #s(literal 2 binary64) (PI.f64))))))
#s(approx (- (sin (+ x eps)) (sin (neg (+ (- (PI) x) (PI))))) (-.f64 (+.f64 (sin.f64 x) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))))) (sin.f64 (-.f64 x (.f64 #s(literal 2 binary64) (PI.f64))))))
#s(approx (- (sin (+ x eps)) (sin (neg (+ (- (PI) x) (PI))))) (-.f64 (+.f64 (sin.f64 x) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x)))))))) (sin.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (PI.f64))))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 x) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 x) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x)))))))))
#s(approx (+ (* (cos x) eps) (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (* eps eps))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 eps #s(literal 4 binary64)) (sin.f64 x))))
#s(approx (+ (* (cos x) eps) (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (* eps eps))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/24 binary64) (sin.f64 x)))))
#s(approx (+ (* (cos x) eps) (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (* eps eps))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/24 binary64) (sin.f64 x))))))
#s(approx (+ (* (cos x) eps) (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (* eps eps))) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 3 binary64))))))))
#s(approx (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))))
#s(approx (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/24 binary64) (sin.f64 x)))))
#s(approx (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/24 binary64) (sin.f64 x))))))
#s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/24 binary64) (sin.f64 x)))))
#s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))))
#s(approx (+ (cos x) (* -1/2 (* eps (sin x)))) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))))
#s(approx (+ 1 (* -1/2 (* eps x))) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) eps))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (cos.f64 x))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/6 binary64) (cos.f64 x)))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/6 binary64) (cos.f64 x)))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x))))
#s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/6 binary64) (cos.f64 x)))))
#s(approx (+ (* -1/6 eps) (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2))) (.f64 eps (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))
#s(approx (+ (* -1/6 eps) (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2))) (.f64 eps (-.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)) (/.f64 (.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) eps)) #s(literal 1/6 binary64))))
#s(approx (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2)) (.f64 #s(literal 1/12 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2)) (.f64 eps (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)) (/.f64 (.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) eps))))
#s(approx (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2) (.f64 eps (-.f64 (fma.f64 #s(literal 1/12 binary64) x (.f64 #s(literal 1/12 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps)))))
#s(approx (* x (+ (* 1/12 eps) (* 1/12 x))) (.f64 eps (fma.f64 #s(literal 1/12 binary64) x (.f64 #s(literal 1/12 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))
#s(approx (+ (* 1/12 eps) (* 1/12 x)) (.f64 eps (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 x eps)))))
#s(approx (+ x eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x)))
#s(approx (+ (* (cos x) eps) (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (* eps eps))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))) eps) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))))
#s(approx (+ (* (cos x) eps) (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (* eps eps))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps) (.f64 #s(literal 1/6 binary64) (cos.f64 x))) eps) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))))
#s(approx (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))) eps) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))))
#s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (cos.f64 x) eps))))))
#s(approx (+ (cos x) (* -1/2 (* eps (sin x)))) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))))
#s(approx (+ 1 (* -1/2 (* eps x))) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps) (*.f64 #s(literal 1/6 binary64) (cos.f64 x))))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) eps) (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))))
#s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal 1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))))))
#s(approx (+ (* -1/6 eps) (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2))) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* -1/6 eps) (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2))) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) eps) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2)) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) eps) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) eps) (.f64 #s(literal -1/12 binary64) x)))))
#s(approx (* x (+ (* 1/12 eps) (* 1/12 x))) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1/12 binary64) x (*.f64 #s(literal -1/12 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))))
#s(approx (+ (* 1/12 eps) (* 1/12 x)) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1/12 binary64) (/.f64 x eps)) #s(literal 1/12 binary64)))))
#s(approx (- (sin (+ x eps)) (sin (neg (+ (- (PI) x) (PI))))) (-.f64 (sin.f64 (-.f64 x (.f64 #s(literal -1 binary64) eps))) (sin.f64 (-.f64 x (.f64 #s(literal 2 binary64) (PI.f64))))))
#s(approx (sin (+ x eps)) (sin.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
47.0ms	eps	@	0	((- (sin (+ x eps)) (sin x)) (+ (* (cos x) eps) (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (* eps eps))) (cos x) x eps (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (* eps eps)) (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) -1/6 (* (* (sin x) eps) 1/24) (* (sin x) eps) (sin x) 1/24 (* (sin x) -1/2) -1/2 (* eps eps) (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+ (cos x) (* -1/2 (* eps (sin x)))) (+ 1 (* -1/2 (* eps x))) 1 (* -1/2 (* eps x)) (* eps x) (- (sin (+ x eps)) (sin x)) (* eps (cos x)) (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))) (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (+ (* -1/6 eps) (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2))) (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2)) (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2) (* x (+ (* 1/12 eps) (* 1/12 x))) (+ (* 1/12 eps) (* 1/12 x)) 1/12 (* 1/12 x) 1/2 (- (sin (+ x eps)) (sin (neg (+ (- (PI) x) (PI))))) (sin (+ x eps)) (+ x eps) (sin (neg (+ (- (PI) x) (PI)))) (neg (+ (- (PI) x) (PI))) (+ (- (PI) x) (PI)) (- (PI) x) (PI))
5.0ms	eps	@	-inf	((- (sin (+ x eps)) (sin x)) (+ (* (cos x) eps) (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (* eps eps))) (cos x) x eps (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (* eps eps)) (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) -1/6 (* (* (sin x) eps) 1/24) (* (sin x) eps) (sin x) 1/24 (* (sin x) -1/2) -1/2 (* eps eps) (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+ (cos x) (* -1/2 (* eps (sin x)))) (+ 1 (* -1/2 (* eps x))) 1 (* -1/2 (* eps x)) (* eps x) (- (sin (+ x eps)) (sin x)) (* eps (cos x)) (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))) (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (+ (* -1/6 eps) (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2))) (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2)) (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2) (* x (+ (* 1/12 eps) (* 1/12 x))) (+ (* 1/12 eps) (* 1/12 x)) 1/12 (* 1/12 x) 1/2 (- (sin (+ x eps)) (sin (neg (+ (- (PI) x) (PI))))) (sin (+ x eps)) (+ x eps) (sin (neg (+ (- (PI) x) (PI)))) (neg (+ (- (PI) x) (PI))) (+ (- (PI) x) (PI)) (- (PI) x) (PI))
5.0ms	x	@	-inf	((- (sin (+ x eps)) (sin x)) (+ (* (cos x) eps) (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (* eps eps))) (cos x) x eps (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (* eps eps)) (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) -1/6 (* (* (sin x) eps) 1/24) (* (sin x) eps) (sin x) 1/24 (* (sin x) -1/2) -1/2 (* eps eps) (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+ (cos x) (* -1/2 (* eps (sin x)))) (+ 1 (* -1/2 (* eps x))) 1 (* -1/2 (* eps x)) (* eps x) (- (sin (+ x eps)) (sin x)) (* eps (cos x)) (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))) (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (+ (* -1/6 eps) (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2))) (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2)) (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2) (* x (+ (* 1/12 eps) (* 1/12 x))) (+ (* 1/12 eps) (* 1/12 x)) 1/12 (* 1/12 x) 1/2 (- (sin (+ x eps)) (sin (neg (+ (- (PI) x) (PI))))) (sin (+ x eps)) (+ x eps) (sin (neg (+ (- (PI) x) (PI)))) (neg (+ (- (PI) x) (PI))) (+ (- (PI) x) (PI)) (- (PI) x) (PI))
5.0ms	x	@	inf	((- (sin (+ x eps)) (sin x)) (+ (* (cos x) eps) (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (* eps eps))) (cos x) x eps (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (* eps eps)) (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) -1/6 (* (* (sin x) eps) 1/24) (* (sin x) eps) (sin x) 1/24 (* (sin x) -1/2) -1/2 (* eps eps) (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+ (cos x) (* -1/2 (* eps (sin x)))) (+ 1 (* -1/2 (* eps x))) 1 (* -1/2 (* eps x)) (* eps x) (- (sin (+ x eps)) (sin x)) (* eps (cos x)) (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))) (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (+ (* -1/6 eps) (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2))) (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2)) (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2) (* x (+ (* 1/12 eps) (* 1/12 x))) (+ (* 1/12 eps) (* 1/12 x)) 1/12 (* 1/12 x) 1/2 (- (sin (+ x eps)) (sin (neg (+ (- (PI) x) (PI))))) (sin (+ x eps)) (+ x eps) (sin (neg (+ (- (PI) x) (PI)))) (neg (+ (- (PI) x) (PI))) (+ (- (PI) x) (PI)) (- (PI) x) (PI))
5.0ms	eps	@	inf	((- (sin (+ x eps)) (sin x)) (+ (* (cos x) eps) (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (* eps eps))) (cos x) x eps (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (* eps eps)) (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) -1/6 (* (* (sin x) eps) 1/24) (* (sin x) eps) (sin x) 1/24 (* (sin x) -1/2) -1/2 (* eps eps) (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+ (cos x) (* -1/2 (* eps (sin x)))) (+ 1 (* -1/2 (* eps x))) 1 (* -1/2 (* eps x)) (* eps x) (- (sin (+ x eps)) (sin x)) (* eps (cos x)) (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))) (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (+ (* -1/6 eps) (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2))) (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2)) (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2) (* x (+ (* 1/12 eps) (* 1/12 x))) (+ (* 1/12 eps) (* 1/12 x)) 1/12 (* 1/12 x) 1/2 (- (sin (+ x eps)) (sin (neg (+ (- (PI) x) (PI))))) (sin (+ x eps)) (+ x eps) (sin (neg (+ (- (PI) x) (PI)))) (neg (+ (- (PI) x) (PI))) (+ (- (PI) x) (PI)) (- (PI) x) (PI))

rewrite210.0ms (3%)

Memory

14.9MiB live, 202.3MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	484
0	98	474
1	501	468
2	4375	463
0	8231	438
1	25953	438

Stop Event

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

Counts

46 → 402

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps))))
(fma.f64 (cos.f64 x) eps (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps)))
(cos.f64 x)
x
eps
(.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps))
(fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)))
#s(literal -1/6 binary64)
(.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))
(*.f64 (sin.f64 x) eps)
(sin.f64 x)
#s(literal 1/24 binary64)
(*.f64 (sin.f64 x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 eps eps)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x))))))
(.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x)))))
#s(approx (+ (cos x) (* -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x)))
#s(literal 1 binary64)
(.f64 #s(literal -1/2 binary64) (.f64 eps x))
(*.f64 eps x)
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
(*.f64 eps (cos.f64 x))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/12 binary64) eps (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/12 binary64) eps (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64))))))))
(+.f64 (cos.f64 x) (.f64 eps #s(approx (+ ( -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/12 binary64) eps (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))))
(.f64 eps #s(approx (+ ( -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/12 binary64) eps (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64))))))
#s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/12 binary64) eps (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/12 binary64) eps (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64))))
(.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/12 binary64) eps (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))
(-.f64 (.f64 x (fma.f64 #s(literal 1/12 binary64) eps (.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64))
(.f64 x (fma.f64 #s(literal 1/12 binary64) eps (.f64 #s(literal 1/12 binary64) x)))
(fma.f64 #s(literal 1/12 binary64) eps (*.f64 #s(literal 1/12 binary64) x))
#s(literal 1/12 binary64)
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1/2 binary64)
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (neg.f64 (+.f64 (-.f64 (PI.f64) x) (PI.f64)))))
(sin.f64 (+.f64 x eps))
(+.f64 x eps)
(sin.f64 (neg.f64 (+.f64 (-.f64 (PI.f64) x) (PI.f64))))
(neg.f64 (+.f64 (-.f64 (PI.f64) x) (PI.f64)))
(+.f64 (-.f64 (PI.f64) x) (PI.f64))
(-.f64 (PI.f64) x)
(PI.f64)

Outputs
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps)))
(.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)))
(neg.f64 (-.f64 (.f64 (-.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps))) eps)) (.f64 eps eps)) (*.f64 (cos.f64 x) eps)))
(fma.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (fabs.f64 eps)) (fabs.f64 eps) (*.f64 (cos.f64 x) eps))
(fma.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (neg.f64 eps)) (neg.f64 eps) (*.f64 (cos.f64 x) eps))
(fma.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) eps (*.f64 (cos.f64 x) eps))
(fma.f64 (fabs.f64 eps) (.f64 (fabs.f64 eps) (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps))) (.f64 (sin.f64 x) #s(literal -1/2 binary64)))) (*.f64 (cos.f64 x) eps))
(fma.f64 (neg.f64 eps) (.f64 (neg.f64 eps) (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps))) (.f64 (sin.f64 x) #s(literal -1/2 binary64)))) (*.f64 (cos.f64 x) eps))
(fma.f64 (.f64 eps eps) (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (*.f64 (cos.f64 x) eps))
(fma.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps) (*.f64 (cos.f64 x) eps))
(fma.f64 (cos.f64 x) eps (neg.f64 (.f64 (-.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps))) eps)) (.f64 eps eps))))
(fma.f64 (cos.f64 x) eps (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps)))
(fma.f64 eps (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) (*.f64 (cos.f64 x) eps))
(fma.f64 eps (cos.f64 x) (neg.f64 (.f64 (-.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps))) eps)) (.f64 eps eps))))
(fma.f64 eps (cos.f64 x) (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps)))
(-.f64 (.f64 (cos.f64 x) eps) (.f64 (-.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps))) eps)) (*.f64 eps eps)))
(-.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)) (.f64 (neg.f64 (cos.f64 x)) eps))
(-.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)) (.f64 (neg.f64 eps) (cos.f64 x)))
(-.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)) (neg.f64 (.f64 (cos.f64 x) eps)))
(+.f64 (.f64 (cos.f64 x) eps) (neg.f64 (.f64 (-.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps))) eps)) (*.f64 eps eps))))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)))
(+.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)) (.f64 (cos.f64 x) eps))
(sin.f64 (+.f64 (neg.f64 (neg.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (neg.f64 (fabs.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
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x
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(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (+.f64 (neg.f64 x) (+.f64 eps x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 x) (+.f64 eps x)) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 eps x) (+.f64 (PI.f64) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 eps x) (+.f64 (PI.f64) x)) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 (-.f64 (+.f64 eps x) (-.f64 (PI.f64) (-.f64 x (PI.f64)))) #s(literal 1/2 binary64))) (sin.f64 (.f64 (-.f64 (+.f64 eps x) (-.f64 (-.f64 x (PI.f64)) (PI.f64))) #s(literal 1/2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (cos.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)))))
(neg.f64 (-.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))
(fma.f64 (cos.f64 eps) (sin.f64 x) (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x))))
(fma.f64 (cos.f64 eps) (sin.f64 x) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (neg.f64 (sin.f64 x)))))
(fma.f64 (cos.f64 (.f64 (-.f64 (+.f64 eps x) (-.f64 (PI.f64) (-.f64 x (PI.f64)))) #s(literal 1/2 binary64))) (sin.f64 (.f64 (-.f64 (+.f64 eps x) (-.f64 (-.f64 x (PI.f64)) (PI.f64))) #s(literal 1/2 binary64))) (.f64 (cos.f64 (.f64 (-.f64 (+.f64 eps x) (-.f64 (PI.f64) (-.f64 x (PI.f64)))) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (-.f64 (+.f64 eps x) (-.f64 (-.f64 x (PI.f64)) (PI.f64))) #s(literal 1/2 binary64)))))
(fma.f64 (sin.f64 (.f64 (-.f64 (+.f64 eps x) (-.f64 (-.f64 x (PI.f64)) (PI.f64))) #s(literal 1/2 binary64))) (cos.f64 (.f64 (-.f64 (+.f64 eps x) (-.f64 (PI.f64) (-.f64 x (PI.f64)))) #s(literal 1/2 binary64))) (.f64 (cos.f64 (.f64 (-.f64 (+.f64 eps x) (-.f64 (PI.f64) (-.f64 x (PI.f64)))) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (-.f64 (+.f64 eps x) (-.f64 (-.f64 x (PI.f64)) (PI.f64))) #s(literal 1/2 binary64)))))
(fma.f64 (cos.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 (cos.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)))))
(fma.f64 (sin.f64 (.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (cos.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (.f64 (cos.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)))))
(fma.f64 (sin.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x))))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (neg.f64 (sin.f64 x)))))
(-.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (neg.f64 (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 eps x)))
(+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (neg.f64 (sin.f64 x)))))
(+.f64 (.f64 (cos.f64 (.f64 (-.f64 (+.f64 eps x) (-.f64 (PI.f64) (-.f64 x (PI.f64)))) #s(literal 1/2 binary64))) (sin.f64 (.f64 (-.f64 (+.f64 eps x) (-.f64 (-.f64 x (PI.f64)) (PI.f64))) #s(literal 1/2 binary64)))) (.f64 (cos.f64 (.f64 (-.f64 (+.f64 eps x) (-.f64 (PI.f64) (-.f64 x (PI.f64)))) #s(literal 1/2 binary64))) (sin.f64 (.f64 (-.f64 (+.f64 eps x) (-.f64 (-.f64 x (PI.f64)) (PI.f64))) #s(literal 1/2 binary64)))))
(+.f64 (.f64 (cos.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 (cos.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 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))
(neg.f64 (sin.f64 (-.f64 (neg.f64 eps) x)))
(sin.f64 (+.f64 eps x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 (neg.f64 (neg.f64 eps)))))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 (neg.f64 (neg.f64 eps)))))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (neg.f64 (cos.f64 x)) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))))
(-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (neg.f64 (sin.f64 eps))))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 (neg.f64 (neg.f64 eps)))))
(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))
(neg.f64 (-.f64 (neg.f64 eps) x))
(-.f64 eps (neg.f64 x))
(-.f64 x (neg.f64 eps))
(+.f64 eps x)
(+.f64 x (neg.f64 (neg.f64 eps)))
(+.f64 x eps)
(neg.f64 (neg.f64 (sin.f64 x)))
(sin.f64 (neg.f64 (+.f64 (PI.f64) x)))
(sin.f64 (neg.f64 (+.f64 (-.f64 (-.f64 x (PI.f64)) (PI.f64)) (PI.f64))))
(sin.f64 (+.f64 (+.f64 (-.f64 (PI.f64) (-.f64 x (PI.f64))) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (-.f64 (-.f64 x (PI.f64)) (PI.f64)) (PI.f64)) (PI.f64)))
(sin.f64 (neg.f64 (neg.f64 x)))
(sin.f64 (+.f64 (-.f64 (PI.f64) (-.f64 x (PI.f64))) (PI.f64)))
(sin.f64 (-.f64 (-.f64 x (PI.f64)) (PI.f64)))
(sin.f64 (-.f64 (PI.f64) x))
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64) (*.f64 (cos.f64 (-.f64 (PI.f64) (-.f64 x (PI.f64)))) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64) (*.f64 (cos.f64 x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 0 binary64)))
(fma.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x)) (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x))))
(fma.f64 #s(literal 0 binary64) (cos.f64 x) (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x))))
(-.f64 (.f64 (cos.f64 (-.f64 (PI.f64) (-.f64 x (PI.f64)))) #s(literal 0 binary64)) (.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)))
(-.f64 (.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (.f64 (neg.f64 (cos.f64 x)) (sin.f64 (neg.f64 (neg.f64 (PI.f64))))))
(-.f64 (.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (.f64 (neg.f64 (cos.f64 x)) #s(literal 0 binary64)))
(-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x))) (.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (sin.f64 x)))))
(-.f64 (.f64 #s(literal 0 binary64) (cos.f64 x)) (.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (sin.f64 x)))))
(-.f64 (.f64 #s(literal 0 binary64) (cos.f64 x)) (.f64 #s(literal -1 binary64) (sin.f64 x)))
(cos.f64 (neg.f64 (+.f64 (-.f64 (PI.f64) (-.f64 x (PI.f64))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(cos.f64 (fabs.f64 (+.f64 (-.f64 (PI.f64) (-.f64 x (PI.f64))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(cos.f64 (+.f64 (+.f64 (PI.f64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(cos.f64 (+.f64 (+.f64 (-.f64 (-.f64 x (PI.f64)) (PI.f64)) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(cos.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (-.f64 (-.f64 x (PI.f64)) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (PI.f64)))
(cos.f64 (+.f64 (-.f64 (PI.f64) (-.f64 x (PI.f64))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(cos.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(+.f64 (.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (.f64 (cos.f64 (-.f64 (PI.f64) (-.f64 x (PI.f64)))) #s(literal 0 binary64)))
(+.f64 (.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (.f64 (cos.f64 x) #s(literal 0 binary64)))
(+.f64 (.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (.f64 (neg.f64 (cos.f64 x)) #s(literal 0 binary64)))
(+.f64 (.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x))) (.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 #s(literal 0 binary64) (cos.f64 x)) (.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x))))
(neg.f64 (-.f64 (PI.f64) (-.f64 x (PI.f64))))
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)) (-.f64 x (PI.f64)))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (neg.f64 (cbrt.f64 (PI.f64))) (-.f64 x (PI.f64)))
(-.f64 (-.f64 x (PI.f64)) (neg.f64 (neg.f64 (PI.f64))))
(-.f64 (-.f64 x (PI.f64)) (PI.f64))
(-.f64 (neg.f64 (PI.f64)) (-.f64 (PI.f64) x))
(+.f64 (-.f64 x (PI.f64)) (neg.f64 (PI.f64)))
(+.f64 (neg.f64 (PI.f64)) (-.f64 x (PI.f64)))
(neg.f64 (-.f64 (-.f64 x (PI.f64)) (PI.f64)))
(-.f64 (+.f64 (PI.f64) (PI.f64)) x)
(-.f64 (-.f64 (PI.f64) x) (neg.f64 (PI.f64)))
(-.f64 (PI.f64) (-.f64 x (PI.f64)))
(+.f64 (+.f64 (PI.f64) (PI.f64)) (neg.f64 x))
(+.f64 (-.f64 (PI.f64) x) (neg.f64 (neg.f64 (PI.f64))))
(+.f64 (-.f64 (PI.f64) x) (PI.f64))
(+.f64 (PI.f64) (-.f64 (neg.f64 x) (neg.f64 (PI.f64))))
(+.f64 (PI.f64) (-.f64 (PI.f64) x))
(neg.f64 (-.f64 x (PI.f64)))
(-.f64 (PI.f64) (neg.f64 (neg.f64 x)))
(-.f64 (PI.f64) x)
(+.f64 (neg.f64 x) (PI.f64))
(+.f64 (PI.f64) (neg.f64 x))
(PI.f64)

eval99.0ms (1.4%)

Memory: 20.2MiB live, 65.5MiB allocated; 5ms collecting garbage
Compiler: Compiled 8 230 to 3 440 computations (58.2% saved)

prune69.0ms (1%)

Memory

-46.7MiB live, 50.5MiB allocated; 16ms collecting garbage

Pruning

26 alts after pruning (23 fresh and 3 done)

	Pruned	Kept	Total
New	633	12	645
Fresh	4	11	15
Picked	3	2	5
Done	0	1	1
Total	640	26	666

Accuracy

100.0%

Counts

666 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.4%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 (-.f64 x (PI.f64)) (PI.f64))))
▶	3.4%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 (PI.f64) x)))
✓	61.1%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	60.3%	(-.f64 (sin.f64 #s(approx (+ x eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))) (sin.f64 x))
	99.9%	(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
✓	100.0%	#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps))))
	99.8%	#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (fma.f64 eps #s(approx (+ ( (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(literal -1/6 binary64)) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps))))
	99.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	99.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 (fma.f64 (.f64 (+.f64 eps x) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))) eps (cos.f64 x)) eps))
▶	100.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
	98.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (fma.f64 (*.f64 eps x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
	99.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps #s(approx (+ ( -1/6 (cos x)) (* 1/24 (* eps (sin x)))) #s(literal -1/6 binary64))))))))
	99.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) (*.f64 #s(literal -1/6 binary64) eps))))))
	99.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x #s(approx (- ( x (+ (* 1/12 eps) (* 1/12 x))) 1/2) #s(literal -1/2 binary64)))))))))
	99.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) #s(approx (+ (* -1/6 eps) (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2))) (.f64 eps (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))))
	99.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))))
	99.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) #s(approx ( -1/2 (* eps (sin x))) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))))
	99.3%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
	99.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (sin.f64 (+.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64))))))
✓	99.3%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
▶	98.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))))
	98.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal -1/2 binary64) x)))))))
	98.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) #s(approx (+ 1 (* -1/2 (* eps x))) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) eps)))))))
	98.5%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (+ (* (cos x) eps) (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (* eps eps))) (+.f64 eps (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64))))))
▶	98.5%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) eps))
▶	99.0%	#s(approx (- (sin (+ x eps)) (sin x)) #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)))))))))

Compiler

Compiled 989 to 943 computations (4.7% saved)

series48.0ms (0.7%)

Memory

44.1MiB live, 87.0MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	693	4220

Stop Event

1×	iter-limit

Counts

41 → 169

Calls

Call 1

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

Outputs
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 eps) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 eps) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/6 binary64) (cos.f64 eps))))))) #s(literal 1 binary64)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2))) (cos x)) eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (fma.f64 eps (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (fma.f64 x (fma.f64 eps (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/144 binary64) (pow.f64 eps #s(literal 2 binary64))))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2))) (cos x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (+ (* eps (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2))) (cos x)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2))) (cos x)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2))) (cos x)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (-.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/144 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal 1/2 binary64))))))))
#s(approx (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps))
#s(approx (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/12 binary64) (*.f64 eps x))) #s(literal 1/2 binary64)))))
#s(approx (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/12 binary64) eps (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/144 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) #s(literal 1/2 binary64)))))
#s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(literal -1/6 binary64))
#s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps x)) #s(literal 1/6 binary64)))
#s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) (-.f64 (.f64 x (fma.f64 #s(literal 1/24 binary64) eps (.f64 #s(literal 1/12 binary64) x))) #s(literal 1/6 binary64)))
#s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) (-.f64 (.f64 x (fma.f64 #s(literal 1/24 binary64) eps (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/144 binary64) (.f64 eps x)))))) #s(literal 1/6 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx x x)
#s(approx (* (* (sin x) eps) 1/24) (.f64 #s(literal 1/24 binary64) (.f64 eps x)))
#s(approx (* (* (sin x) eps) 1/24) (.f64 x (fma.f64 #s(literal -1/144 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) eps))))
#s(approx (* (* (sin x) eps) 1/24) (.f64 x (fma.f64 #s(literal 1/24 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/144 binary64) eps (.f64 #s(literal 1/2880 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (* (* (sin x) eps) 1/24) (.f64 x (fma.f64 #s(literal 1/24 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/144 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/120960 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2880 binary64) eps))))))))
#s(approx (* (sin x) eps) (*.f64 eps x))
#s(approx (* (sin x) eps) (.f64 x (+.f64 eps (.f64 #s(literal -1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (sin x) eps) (.f64 x (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) eps (.f64 #s(literal 1/120 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (* (sin x) eps) (.f64 x (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/120 binary64) eps))))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (* (sin x) -1/2) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* (sin x) -1/2) (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (* (sin x) -1/2) (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/240 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
#s(approx (* (sin x) -1/2) (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/10080 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/240 binary64))))) #s(literal 1/2 binary64))))
#s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) eps)
#s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
#s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+.f64 eps (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+.f64 eps (.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (fma.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x) (.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x) (.f64 eps (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps x) (.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))))
#s(approx (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))) (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #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 (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))) (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))) (.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 (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2)))) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2)))) (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 (* 1/24 (* eps (pow x 2))) (.f64 #s(literal 1/24 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* eps (pow x 2)) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))
#s(approx (- (sin (+ x eps)) (sin (- (PI) x))) (-.f64 (sin.f64 eps) (sin.f64 (PI.f64))))
#s(approx (- (sin (+ x eps)) (sin (- (PI) x))) (-.f64 (+.f64 (sin.f64 eps) (.f64 x (-.f64 (cos.f64 eps) (.f64 #s(literal -1 binary64) (cos.f64 (PI.f64)))))) (sin.f64 (PI.f64))))
#s(approx (- (sin (+ x eps)) (sin (- (PI) x))) (-.f64 (+.f64 (sin.f64 eps) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (.f64 #s(literal -1/2 binary64) (sin.f64 (PI.f64)))))) (*.f64 #s(literal -1 binary64) (cos.f64 (PI.f64)))))) (sin.f64 (PI.f64))))
#s(approx (- (sin (+ x eps)) (sin (- (PI) x))) (-.f64 (+.f64 (sin.f64 eps) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 x (-.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (.f64 x (-.f64 (.f64 #s(literal -1/6 binary64) (cos.f64 eps)) (.f64 #s(literal 1/6 binary64) (cos.f64 (PI.f64)))))) (.f64 #s(literal -1/2 binary64) (sin.f64 (PI.f64)))))) (*.f64 #s(literal -1 binary64) (cos.f64 (PI.f64)))))) (sin.f64 (PI.f64))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (.f64 #s(literal -1/6 binary64) (.f64 x (cos.f64 eps)))))))))
#s(approx (+ x eps) (+.f64 eps x))
#s(approx (sin (- (PI) x)) (sin.f64 (PI.f64)))
#s(approx (sin (- (PI) x)) (+.f64 (sin.f64 (PI.f64)) (.f64 #s(literal -1 binary64) (.f64 x (cos.f64 (PI.f64))))))
#s(approx (sin (- (PI) x)) (+.f64 (sin.f64 (PI.f64)) (.f64 x (fma.f64 #s(literal -1 binary64) (cos.f64 (PI.f64)) (.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 (PI.f64))))))))
#s(approx (sin (- (PI) x)) (+.f64 (sin.f64 (PI.f64)) (.f64 x (fma.f64 #s(literal -1 binary64) (cos.f64 (PI.f64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (PI.f64)) (.f64 #s(literal 1/6 binary64) (.f64 x (cos.f64 (PI.f64))))))))))
#s(approx (- (PI) x) (PI.f64))
#s(approx (- (PI) x) (+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) x)))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (* (+ (* eps (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2))) (cos x)) eps) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2))) (cos x)) (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (sin.f64 x)))))))))
#s(approx (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))
#s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (sin.f64 x)))))
#s(approx (cos x) (cos.f64 x))
#s(approx (* (* (sin x) eps) 1/24) (.f64 #s(literal 1/24 binary64) (.f64 eps (sin.f64 x))))
#s(approx (* (sin x) eps) (*.f64 eps (sin.f64 x)))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (sin x) -1/2) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
#s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x))))))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
#s(approx (+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2)))) (.f64 #s(literal -1/2 binary64) (.f64 eps x)))
#s(approx (+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2)))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
#s(approx (* eps (cos x)) (*.f64 eps (cos.f64 x)))
#s(approx (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2)))))) (.f64 #s(literal 1/24 binary64) (.f64 eps (pow.f64 x #s(literal 4 binary64)))))
#s(approx (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2)))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) eps))))
#s(approx (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2)))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) eps (/.f64 eps (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) eps))))
#s(approx (- (sin (+ x eps)) (sin (- (PI) x))) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 (PI.f64) x))))
#s(approx (sin (+ x eps)) (sin.f64 (+.f64 eps x)))
#s(approx (+ x eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (sin (- (PI) x)) (sin.f64 (-.f64 (PI.f64) x)))
#s(approx (- (PI) x) (*.f64 #s(literal -1 binary64) x))
#s(approx (- (PI) x) (*.f64 x (-.f64 (/.f64 (PI.f64) x) #s(literal 1 binary64))))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x)))
#s(approx (+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2)))) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))) x) (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (- (sin (+ x eps)) (sin (- (PI) x))) (-.f64 (sin.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x))) (sin.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) x)))))
#s(approx (sin (+ x eps)) (sin.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 (- (PI) x)) (sin.f64 (+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) x))))
#s(approx (- (PI) x) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2))) (cos x)) (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))))
#s(approx (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x)))))
#s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))
#s(approx (+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x))))
#s(approx (+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2)))) (+.f64 #s(literal 1 binary64) (.f64 eps (fma.f64 #s(literal -1/2 binary64) x (.f64 #s(literal -1/6 binary64) eps)))))
#s(approx (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) x (.f64 #s(literal -1/6 binary64) eps))))
#s(approx (pow eps 2) (pow.f64 eps #s(literal 2 binary64)))
#s(approx (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2)))))) (.f64 eps (+.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 (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))) (.f64 eps (.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 (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2)))) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (- (sin (+ x eps)) (sin (- (PI) x))) (-.f64 (sin.f64 x) (sin.f64 (-.f64 (PI.f64) x))))
#s(approx (- (sin (+ x eps)) (sin (- (PI) x))) (-.f64 (+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x))) (sin.f64 (-.f64 (PI.f64) x))))
#s(approx (- (sin (+ x eps)) (sin (- (PI) x))) (-.f64 (+.f64 (sin.f64 x) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))) (sin.f64 (-.f64 (PI.f64) x))))
#s(approx (- (sin (+ x eps)) (sin (- (PI) x))) (-.f64 (+.f64 (sin.f64 x) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x)))))))) (sin.f64 (-.f64 (PI.f64) x))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 x) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 x) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x)))))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2))) (cos x)) eps) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 eps #s(literal 4 binary64)) (sin.f64 x))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/24 binary64) (sin.f64 x)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/24 binary64) (sin.f64 x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2))) (cos x)) eps) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 3 binary64))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2))) (cos x)) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (sin.f64 x))))
#s(approx (+ (* eps (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2))) (cos x)) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/24 binary64) (sin.f64 x)))))
#s(approx (+ (* eps (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2))) (cos x)) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/24 binary64) (sin.f64 x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2))) (cos x)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 3 binary64))))))))
#s(approx (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))))
#s(approx (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/24 binary64) (sin.f64 x)))))
#s(approx (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/24 binary64) (sin.f64 x))))))
#s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/24 binary64) (sin.f64 x)))))
#s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))))
#s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (cos.f64 x))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/6 binary64) (cos.f64 x)))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/6 binary64) (cos.f64 x)))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2)))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x eps)) #s(literal 1/6 binary64))))
#s(approx (+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2)))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x eps) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1/6 binary64))))
#s(approx (+ x eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x)))
#s(approx (* (+ (* eps (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))) eps) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps) (.f64 #s(literal 1/6 binary64) (cos.f64 x))) eps) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))))
#s(approx (+ (* eps (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2))) (cos x)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (cos.f64 x) eps))))))
#s(approx (+ (* eps (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2))) (cos x)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/6 binary64) (cos.f64 x))) eps) (.f64 #s(literal -1/24 binary64) (sin.f64 x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2))) (cos x)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) eps) (.f64 #s(literal -1/6 binary64) (cos.f64 x))) eps) (*.f64 #s(literal -1/24 binary64) (sin.f64 x))))))
#s(approx (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))) eps) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))))
#s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (cos.f64 x) eps))))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps) (*.f64 #s(literal 1/6 binary64) (cos.f64 x))))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) eps) (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))))
#s(approx (+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2)))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)) eps)) #s(literal 1/6 binary64))))
#s(approx (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2)))))) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))))
#s(approx (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))) (.f64 #s(literal -1 binary64) (.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2)))) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin (- (PI) x))) (-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 (-.f64 (PI.f64) x))))
#s(approx (sin (+ x eps)) (sin.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
8.0ms	eps	@	-inf	((- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2))) (cos x)) eps (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) (cos x) x -1/6 (* (* (sin x) eps) 1/24) (* (sin x) eps) (sin x) 1/24 (* (sin x) -1/2) -1/2 (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2)))) 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))) (* eps x) (* -1/6 (pow eps 2)) (pow eps 2) 2 (- (sin (+ x eps)) (sin x)) (* eps (cos x)) (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2)))))) (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))) (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2)))) (* 1/24 (* eps (pow x 2))) (* eps (pow x 2)) (- (sin (+ x eps)) (sin (- (PI) x))) (sin (+ x eps)) (+ x eps) (sin (- (PI) x)) (- (PI) x) (PI))
5.0ms	eps	@	inf	((- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2))) (cos x)) eps (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) (cos x) x -1/6 (* (* (sin x) eps) 1/24) (* (sin x) eps) (sin x) 1/24 (* (sin x) -1/2) -1/2 (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2)))) 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))) (* eps x) (* -1/6 (pow eps 2)) (pow eps 2) 2 (- (sin (+ x eps)) (sin x)) (* eps (cos x)) (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2)))))) (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))) (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2)))) (* 1/24 (* eps (pow x 2))) (* eps (pow x 2)) (- (sin (+ x eps)) (sin (- (PI) x))) (sin (+ x eps)) (+ x eps) (sin (- (PI) x)) (- (PI) x) (PI))
4.0ms	x	@	inf	((- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2))) (cos x)) eps (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) (cos x) x -1/6 (* (* (sin x) eps) 1/24) (* (sin x) eps) (sin x) 1/24 (* (sin x) -1/2) -1/2 (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2)))) 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))) (* eps x) (* -1/6 (pow eps 2)) (pow eps 2) 2 (- (sin (+ x eps)) (sin x)) (* eps (cos x)) (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2)))))) (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))) (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2)))) (* 1/24 (* eps (pow x 2))) (* eps (pow x 2)) (- (sin (+ x eps)) (sin (- (PI) x))) (sin (+ x eps)) (+ x eps) (sin (- (PI) x)) (- (PI) x) (PI))
4.0ms	x	@	-inf	((- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2))) (cos x)) eps (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) (cos x) x -1/6 (* (* (sin x) eps) 1/24) (* (sin x) eps) (sin x) 1/24 (* (sin x) -1/2) -1/2 (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2)))) 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))) (* eps x) (* -1/6 (pow eps 2)) (pow eps 2) 2 (- (sin (+ x eps)) (sin x)) (* eps (cos x)) (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2)))))) (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))) (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2)))) (* 1/24 (* eps (pow x 2))) (* eps (pow x 2)) (- (sin (+ x eps)) (sin (- (PI) x))) (sin (+ x eps)) (+ x eps) (sin (- (PI) x)) (- (PI) x) (PI))
4.0ms	eps	@	0	((- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2))) (cos x)) eps (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) (cos x) x -1/6 (* (* (sin x) eps) 1/24) (* (sin x) eps) (sin x) 1/24 (* (sin x) -1/2) -1/2 (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2)))) 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))) (* eps x) (* -1/6 (pow eps 2)) (pow eps 2) 2 (- (sin (+ x eps)) (sin x)) (* eps (cos x)) (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2)))))) (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))) (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2)))) (* 1/24 (* eps (pow x 2))) (* eps (pow x 2)) (- (sin (+ x eps)) (sin (- (PI) x))) (sin (+ x eps)) (+ x eps) (sin (- (PI) x)) (- (PI) x) (PI))

rewrite220.0ms (3.1%)

Memory

-40.3MiB live, 204.3MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	418
0	91	418
1	490	418
2	4493	416
0	8225	401
1	26092	401

Stop Event

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

Counts

41 → 383

Calls

Call 1

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

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

eval78.0ms (1.1%)

Memory: 14.5MiB live, 68.8MiB allocated; 7ms collecting garbage
Compiler: Compiled 6 581 to 2 687 computations (59.2% saved)

prune69.0ms (1%)

Memory

-3.7MiB live, 43.0MiB allocated; 3ms collecting garbage

Pruning

26 alts after pruning (20 fresh and 6 done)

	Pruned	Kept	Total
New	527	4	531
Fresh	2	16	18
Picked	2	3	5
Done	0	3	3
Total	531	26	557

Accuracy

100.0%

Counts

557 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.4%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 (-.f64 x (PI.f64)) (PI.f64))))
✓	3.4%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 (PI.f64) x)))
✓	61.1%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	60.3%	(-.f64 (sin.f64 #s(approx (+ x eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))) (sin.f64 x))
	99.9%	(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
✓	100.0%	#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps))))
	99.8%	#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (fma.f64 eps #s(approx (+ ( (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(literal -1/6 binary64)) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps))))
	99.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	99.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 (fma.f64 (.f64 (+.f64 eps x) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))) eps (cos.f64 x)) eps))
✓	100.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
	99.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps #s(approx (+ ( (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
	99.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps)) (cos.f64 x)) eps))
	98.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (fma.f64 (*.f64 eps x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
	99.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x #s(approx (- ( x (+ (* 1/12 eps) (* 1/12 x))) 1/2) #s(literal -1/2 binary64)))))))))
	99.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) #s(approx (+ (* -1/6 eps) (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2))) (.f64 eps (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))))
	99.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))))
	99.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) #s(approx ( -1/2 (* eps (sin x))) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))))
	99.3%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
	99.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (sin.f64 (+.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64))))))
✓	99.3%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
	98.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) x (.f64 #s(literal -1/6 binary64) eps))))))))
	98.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal -1/2 binary64) x)))))))
	98.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) #s(approx (+ 1 (* -1/2 (* eps x))) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) eps)))))))
	98.5%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (+ (* (cos x) eps) (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (* eps eps))) (+.f64 eps (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64))))))
✓	98.5%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) eps))
	99.0%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) eps (.f64 (.f64 (.f64 x x) eps) #s(literal 1/24 binary64))) x) x eps)))

Compiler

Compiled 1 024 to 796 computations (22.3% saved)

regimes61.0ms (0.9%)

Memory

22.9MiB live, 69.3MiB allocated; 4ms collecting garbage

Counts

42 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (fma.f64 (*.f64 eps x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) #s(approx (+ 1 (* -1/2 (* eps x))) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) eps)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal -1/2 binary64) x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) x (.f64 #s(literal -1/6 binary64) eps))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (+ (* (cos x) eps) (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (* eps eps))) (+.f64 eps (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) eps (.f64 (.f64 (.f64 x x) eps) #s(literal 1/24 binary64))) x) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (sin.f64 (+.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps)) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) (*.f64 #s(literal -1/6 binary64) eps))))))
#s(approx (- (sin (+ x eps)) (sin x)) #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 (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) eps)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x #s(approx (- ( x (+ (* 1/12 eps) (* 1/12 x))) 1/2) #s(literal -1/2 binary64)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 (fma.f64 (.f64 (+.f64 eps x) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/12 binary64) eps (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) #s(approx (+ (* -1/6 eps) (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2))) (.f64 eps (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) #s(approx ( -1/2 (* eps (sin x))) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 (PI.f64) x)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 (neg.f64 x) (PI.f64))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 (-.f64 x (PI.f64)) (PI.f64))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (neg.f64 (+.f64 (-.f64 (PI.f64) x) (PI.f64)))))
(-.f64 (sin.f64 #s(approx (+ x eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))) (sin.f64 x))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps #s(approx (+ ( (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps #s(approx (+ ( -1/6 (cos x)) (* 1/24 (* eps (sin x)))) #s(literal -1/6 binary64))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (fma.f64 eps #s(approx (+ ( (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(literal -1/6 binary64)) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 (sin.f64 x) #s(literal -1/2 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps))))

Outputs

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

Calls

3 calls:

39.0ms	x
9.0ms	eps
9.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Accuracy	Segments	Branch
100.0%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
100.0%	1	`x`
100.0%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes39.0ms (0.6%)

Memory

-14.4MiB live, 79.4MiB allocated; 17ms collecting garbage

Counts

41 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (fma.f64 (*.f64 eps x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) #s(approx (+ 1 (* -1/2 (* eps x))) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) eps)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal -1/2 binary64) x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) x (.f64 #s(literal -1/6 binary64) eps))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (+ (* (cos x) eps) (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (* eps eps))) (+.f64 eps (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) eps (.f64 (.f64 (.f64 x x) eps) #s(literal 1/24 binary64))) x) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (sin.f64 (+.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps)) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) (*.f64 #s(literal -1/6 binary64) eps))))))
#s(approx (- (sin (+ x eps)) (sin x)) #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 (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) eps)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x #s(approx (- ( x (+ (* 1/12 eps) (* 1/12 x))) 1/2) #s(literal -1/2 binary64)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 (fma.f64 (.f64 (+.f64 eps x) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/12 binary64) eps (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) #s(approx (+ (* -1/6 eps) (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2))) (.f64 eps (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) #s(approx ( -1/2 (* eps (sin x))) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 (PI.f64) x)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 (neg.f64 x) (PI.f64))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 (-.f64 x (PI.f64)) (PI.f64))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (neg.f64 (+.f64 (-.f64 (PI.f64) x) (PI.f64)))))
(-.f64 (sin.f64 #s(approx (+ x eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))) (sin.f64 x))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps #s(approx (+ ( (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps #s(approx (+ ( -1/6 (cos x)) (* 1/24 (* eps (sin x)))) #s(literal -1/6 binary64))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (fma.f64 eps #s(approx (+ ( (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(literal -1/6 binary64)) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 (sin.f64 x) #s(literal -1/2 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))))))

Outputs

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

Calls

3 calls:

15.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
13.0ms	eps
9.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
100.0%	1	`x`
100.0%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes31.0ms (0.4%)

Memory

24.7MiB live, 70.0MiB allocated; 6ms collecting garbage

Counts

39 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (fma.f64 (*.f64 eps x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) #s(approx (+ 1 (* -1/2 (* eps x))) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) eps)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal -1/2 binary64) x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) x (.f64 #s(literal -1/6 binary64) eps))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (+ (* (cos x) eps) (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (* eps eps))) (+.f64 eps (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) eps (.f64 (.f64 (.f64 x x) eps) #s(literal 1/24 binary64))) x) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (sin.f64 (+.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps)) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) (*.f64 #s(literal -1/6 binary64) eps))))))
#s(approx (- (sin (+ x eps)) (sin x)) #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 (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) eps)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x #s(approx (- ( x (+ (* 1/12 eps) (* 1/12 x))) 1/2) #s(literal -1/2 binary64)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 (fma.f64 (.f64 (+.f64 eps x) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/12 binary64) eps (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) #s(approx (+ (* -1/6 eps) (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2))) (.f64 eps (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) #s(approx ( -1/2 (* eps (sin x))) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 (PI.f64) x)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 (neg.f64 x) (PI.f64))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 (-.f64 x (PI.f64)) (PI.f64))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (neg.f64 (+.f64 (-.f64 (PI.f64) x) (PI.f64)))))
(-.f64 (sin.f64 #s(approx (+ x eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))) (sin.f64 x))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps #s(approx (+ ( (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps #s(approx (+ ( -1/6 (cos x)) (* 1/24 (* eps (sin x)))) #s(literal -1/6 binary64))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (fma.f64 eps #s(approx (+ ( (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(literal -1/6 binary64)) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 (sin.f64 x) #s(literal -1/2 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))))))))

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

Calls

3 calls:

12.0ms	x
9.0ms	eps
9.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes33.0ms (0.5%)

Memory

-27.0MiB live, 63.1MiB allocated; 14ms collecting garbage

Counts

35 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (fma.f64 (*.f64 eps x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) #s(approx (+ 1 (* -1/2 (* eps x))) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) eps)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal -1/2 binary64) x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) x (.f64 #s(literal -1/6 binary64) eps))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (+ (* (cos x) eps) (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (* eps eps))) (+.f64 eps (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) eps (.f64 (.f64 (.f64 x x) eps) #s(literal 1/24 binary64))) x) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (sin.f64 (+.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps)) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) (*.f64 #s(literal -1/6 binary64) eps))))))
#s(approx (- (sin (+ x eps)) (sin x)) #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 (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) eps)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x #s(approx (- ( x (+ (* 1/12 eps) (* 1/12 x))) 1/2) #s(literal -1/2 binary64)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 (fma.f64 (.f64 (+.f64 eps x) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/12 binary64) eps (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) #s(approx (+ (* -1/6 eps) (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2))) (.f64 eps (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) #s(approx ( -1/2 (* eps (sin x))) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 (PI.f64) x)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 (neg.f64 x) (PI.f64))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 (-.f64 x (PI.f64)) (PI.f64))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (neg.f64 (+.f64 (-.f64 (PI.f64) x) (PI.f64)))))
(-.f64 (sin.f64 #s(approx (+ x eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))) (sin.f64 x))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps #s(approx (+ ( (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps #s(approx (+ ( -1/6 (cos x)) (* 1/24 (* eps (sin x)))) #s(literal -1/6 binary64))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (fma.f64 eps #s(approx (+ ( (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(literal -1/6 binary64)) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps))))

Outputs

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

Calls

3 calls:

12.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
8.0ms	eps
8.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.8%	1	`x`
99.8%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes33.0ms (0.5%)

Memory

16.4MiB live, 62.7MiB allocated; 16ms collecting garbage

Counts

34 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (fma.f64 (*.f64 eps x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) #s(approx (+ 1 (* -1/2 (* eps x))) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) eps)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal -1/2 binary64) x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) x (.f64 #s(literal -1/6 binary64) eps))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (+ (* (cos x) eps) (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (* eps eps))) (+.f64 eps (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) eps (.f64 (.f64 (.f64 x x) eps) #s(literal 1/24 binary64))) x) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (sin.f64 (+.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps)) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) (*.f64 #s(literal -1/6 binary64) eps))))))
#s(approx (- (sin (+ x eps)) (sin x)) #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 (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) eps)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x #s(approx (- ( x (+ (* 1/12 eps) (* 1/12 x))) 1/2) #s(literal -1/2 binary64)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 (fma.f64 (.f64 (+.f64 eps x) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/12 binary64) eps (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) #s(approx (+ (* -1/6 eps) (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2))) (.f64 eps (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) #s(approx ( -1/2 (* eps (sin x))) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 (PI.f64) x)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 (neg.f64 x) (PI.f64))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 (-.f64 x (PI.f64)) (PI.f64))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (neg.f64 (+.f64 (-.f64 (PI.f64) x) (PI.f64)))))
(-.f64 (sin.f64 #s(approx (+ x eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))) (sin.f64 x))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps #s(approx (+ ( (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps #s(approx (+ ( -1/6 (cos x)) (* 1/24 (* eps (sin x)))) #s(literal -1/6 binary64))))))))

Outputs

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

Calls

3 calls:

16.0ms	x
8.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
8.0ms	eps

Results

Accuracy	Segments	Branch
99.8%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.8%	1	`x`
99.8%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes25.0ms (0.4%)

Memory

18.2MiB live, 64.7MiB allocated; 3ms collecting garbage

Counts

32 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (fma.f64 (*.f64 eps x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) #s(approx (+ 1 (* -1/2 (* eps x))) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) eps)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal -1/2 binary64) x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) x (.f64 #s(literal -1/6 binary64) eps))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (+ (* (cos x) eps) (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (* eps eps))) (+.f64 eps (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) eps (.f64 (.f64 (.f64 x x) eps) #s(literal 1/24 binary64))) x) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (sin.f64 (+.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps)) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) (*.f64 #s(literal -1/6 binary64) eps))))))
#s(approx (- (sin (+ x eps)) (sin x)) #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 (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) eps)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x #s(approx (- ( x (+ (* 1/12 eps) (* 1/12 x))) 1/2) #s(literal -1/2 binary64)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 (fma.f64 (.f64 (+.f64 eps x) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/12 binary64) eps (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) #s(approx (+ (* -1/6 eps) (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2))) (.f64 eps (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) #s(approx ( -1/2 (* eps (sin x))) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 (PI.f64) x)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 (neg.f64 x) (PI.f64))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 (-.f64 x (PI.f64)) (PI.f64))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (neg.f64 (+.f64 (-.f64 (PI.f64) x) (PI.f64)))))
(-.f64 (sin.f64 #s(approx (+ x eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))) (sin.f64 x))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))

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

Calls

3 calls:

9.0ms	x
7.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
7.0ms	eps

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes23.0ms (0.3%)

Memory

-29.6MiB live, 64.1MiB allocated; 3ms collecting garbage

Counts

28 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (fma.f64 (*.f64 eps x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) #s(approx (+ 1 (* -1/2 (* eps x))) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) eps)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal -1/2 binary64) x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) x (.f64 #s(literal -1/6 binary64) eps))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (+ (* (cos x) eps) (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (* eps eps))) (+.f64 eps (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) eps (.f64 (.f64 (.f64 x x) eps) #s(literal 1/24 binary64))) x) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (sin.f64 (+.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps)) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) (*.f64 #s(literal -1/6 binary64) eps))))))
#s(approx (- (sin (+ x eps)) (sin x)) #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 (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) eps)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x #s(approx (- ( x (+ (* 1/12 eps) (* 1/12 x))) 1/2) #s(literal -1/2 binary64)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 (fma.f64 (.f64 (+.f64 eps x) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/12 binary64) eps (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) #s(approx (+ (* -1/6 eps) (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2))) (.f64 eps (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) #s(approx ( -1/2 (* eps (sin x))) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 (PI.f64) x)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 (neg.f64 x) (PI.f64))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 (-.f64 x (PI.f64)) (PI.f64))))

Outputs

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

Calls

3 calls:

8.0ms	eps
7.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
6.0ms	x

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes22.0ms (0.3%)

Memory

-13.3MiB live, 46.7MiB allocated; 13ms collecting garbage

Counts

18 → 1

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
4.0ms	eps
4.0ms	x

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes13.0ms (0.2%)

Memory

-1.5MiB live, 45.9MiB allocated; 2ms collecting garbage

Counts

15 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
4.0ms	eps
4.0ms	x

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes11.0ms (0.2%)

Memory

38.8MiB live, 38.8MiB allocated; 0ms collecting garbage

Counts

14 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	eps
4.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
4.0ms	x

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes12.0ms (0.2%)

Memory

-9.6MiB live, 36.2MiB allocated; 1ms collecting garbage

Counts

13 → 1

Calls

Call 1

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

Outputs
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))

Calls

3 calls:

3.0ms	eps
3.0ms	x
3.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes16.0ms (0.2%)

Memory

-8.1MiB live, 33.8MiB allocated; 7ms collecting garbage

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	x
3.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
3.0ms	eps

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes7.0ms (0.1%)

Memory

25.3MiB live, 25.3MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

2.0ms	eps
2.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
2.0ms	x

Results

Accuracy	Segments	Branch
98.8%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
98.8%	1	`x`
98.8%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes17.0ms (0.2%)

Memory

-29.3MiB live, 21.4MiB allocated; 13ms collecting garbage

Accuracy

Total -0.1b remaining (-15.1%)

Threshold costs -0.1b (-15.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	eps
2.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
2.0ms	x

Results

Accuracy	Segments	Branch
98.5%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
98.5%	1	`x`
98.5%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

derivations506.0ms (7.1%)

Memory

-38.7MiB live, 203.5MiB allocated; 677ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 172 to 108 computations (37.2% saved)

preprocess127.0ms (1.8%)

Memory: -4.1MiB live, 195.6MiB allocated; 38ms collecting garbage
Compiler: Compiled 215 to 147 computations (31.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze31.0ms (0.4%)

sample4.1s (58.2%)

preprocess49.0ms (0.7%)

series9.0ms (0.1%)

rewrite490.0ms (6.9%)

eval27.0ms (0.4%)

prune6.0ms (0.1%)

series52.0ms (0.7%)

rewrite202.0ms (2.8%)

eval170.0ms (2.4%)

prune67.0ms (0.9%)

series99.0ms (1.4%)

rewrite210.0ms (3%)

eval99.0ms (1.4%)

prune69.0ms (1%)

series48.0ms (0.7%)

rewrite220.0ms (3.1%)

eval78.0ms (1.1%)

prune69.0ms (1%)

regimes61.0ms (0.9%)

regimes39.0ms (0.6%)

regimes31.0ms (0.4%)

regimes33.0ms (0.5%)

regimes33.0ms (0.5%)

regimes25.0ms (0.4%)

regimes23.0ms (0.3%)

regimes22.0ms (0.3%)

regimes13.0ms (0.2%)

regimes11.0ms (0.2%)

regimes12.0ms (0.2%)

regimes16.0ms (0.2%)

regimes7.0ms (0.1%)

regimes17.0ms (0.2%)

derivations506.0ms (7.1%)

preprocess127.0ms (1.8%)

end0.0ms (0%)

Profiling