Metrics for 2sin (example 3.3)

start0.0ms (0.0%)

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

analyze29.0ms (0.4%)

Memory

32.1MiB live, 32.1MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample4.6s (71.0%)

Memory

119.8MiB live, 5 980.5MiB allocated; 2.3s collecting garbage

Samples

1.9s	26 390×	0	invalid
711.0ms	5 549×	1	valid
187.0ms	2 707×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.7s

ival-sin: 600.0ms (35.6% of total)

ival-fabs: 275.0ms (16.3% of total)

adjust: 180.0ms (10.7% of total)

ival-<: 153.0ms (9.1% of total)

ival-mult!: 152.0ms (9.0% of total)

ival-add!: 150.0ms (8.9% of total)

ival-sub!: 99.0ms (5.9% of total)

ival-and: 65.0ms (3.9% of total)

ival-assert: 13.0ms (0.8% of total)

Bogosity

preprocess40.0ms (0.6%)

Memory

-8.8MiB live, 37.8MiB allocated; 4ms 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
▶	61.9%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs

Outputs

series13.0ms (0.2%)

Memory

18.7MiB live, 18.7MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	499

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)) (*.f64 #s(literal -1 binary64) (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))) (.f64 #s(literal -1 binary64) (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 (sin.f64 x) (*.f64 #s(literal -1 binary64) (sin.f64 x))))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 x) (fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 eps (cos.f64 x)))))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 x) (fma.f64 #s(literal -1 binary64) (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)) (sin x)) (+.f64 (sin.f64 x) (fma.f64 #s(literal -1 binary64) (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 (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))) (.f64 #s(literal -1 binary64) (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
1.0ms	eps	inf
1.0ms	x	-inf
1.0ms	x	0
1.0ms	eps	-inf
1.0ms	x	inf

rewrite122.0ms (1.9%)

Memory

17.9MiB live, 161.6MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	64	18
2	260	18
3	1483	18
0	4032	18

Stop Event

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

Counts

6 → 170

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

eval22.0ms (0.3%)

Memory: -2.3MiB live, 42.9MiB allocated; 3ms collecting garbage
Compiler: Compiled 4 087 to 773 computations (81.1% saved)

prune14.0ms (0.2%)

Memory

-21.7MiB live, 24.3MiB allocated; 3ms collecting garbage

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	184	13	197
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	184	14	198

Accuracy

99.8%

Counts

198 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x))))
▶	99.6%	(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
▶	7.1%	(-.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 x) (PI.f64)) eps)) (sin.f64 x))
▶	4.0%	(-.f64 (sin.f64 (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (PI.f64))) (sin.f64 x))
	7.0%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
	4.1%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 (neg.f64 x) (PI.f64))))
✓	61.9%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	60.9%	(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))
	61.3%	(-.f64 (sin.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x eps)) eps)) (sin.f64 x))
	8.1%	(-.f64 (sin.f64 #s(approx (+ x eps) eps)) (sin.f64 x))
	99.6%	(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x))))
▶	99.8%	(.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))))
	61.9%	(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (neg.f64 x) (-.f64 (neg.f64 eps) x)) #s(literal 2 binary64))) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64)))))
▶	97.5%	#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))

Compiler

Compiled 337 to 268 computations (20.5% saved)

sample0.0ms (0.0%)

Memory

0.7MiB live, 0.6MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1/2
0
2
-1/2
(PI)

Outputs
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
#s(literal -1/2 binary64)
#s(literal 884279719003555/281474976710656 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 7 to 7 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series60.0ms (0.9%)

Memory

-0.6MiB live, 93.3MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	747	3661

Stop Event

1×	iter-limit

Counts

33 → 162

Calls

Call 1

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

Outputs
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (fma.f64 #s(literal 2 binary64) (.f64 x (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal -1 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal -1 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal -1/3 binary64) (.f64 x (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))))))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 x (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 x (+.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 #s(literal -1/2 binary64) (.f64 x (cos.f64 (.f64 #s(literal -1/2 binary64) eps))))))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 x (+.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 #s(literal -1/6 binary64) (.f64 x (sin.f64 (.f64 #s(literal -1/2 binary64) eps))))))))))
#s(approx (* (+ (* 2 x) eps) -1/2) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (* (+ (* 2 x) eps) -1/2) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (+ (* 2 x) eps) eps)
#s(approx (+ (* 2 x) eps) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
#s(approx x x)
#s(approx (- (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 (- (+ (neg x) (PI)) eps)) (sin x)) (sin.f64 (+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) eps))))
#s(approx (- (sin (- (+ (neg x) (PI)) eps)) (sin x)) (+.f64 (sin.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) eps))) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (cos.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64)))))
#s(approx (- (sin (- (+ (neg x) (PI)) eps)) (sin x)) (+.f64 (sin.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) eps))) (.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) eps))) (.f64 #s(literal -1/2 binary64) (.f64 x (sin.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) eps)))))) #s(literal 1 binary64)))))
#s(approx (- (sin (- (+ (neg x) (PI)) eps)) (sin x)) (+.f64 (sin.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) eps))) (.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) eps))) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) eps))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/6 binary64) (cos.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) eps))))))))) #s(literal 1 binary64)))))
#s(approx (sin (- (+ (neg x) (PI)) eps)) (+.f64 (sin.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) eps))) (.f64 #s(literal -1 binary64) (.f64 x (cos.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) eps)))))))
#s(approx (sin (- (+ (neg x) (PI)) eps)) (+.f64 (sin.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) eps))) (.f64 x (fma.f64 #s(literal -1 binary64) (cos.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) eps))) (.f64 #s(literal -1/2 binary64) (.f64 x (sin.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) eps)))))))))
#s(approx (sin (- (+ (neg x) (PI)) eps)) (+.f64 (sin.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) eps))) (.f64 x (fma.f64 #s(literal -1 binary64) (cos.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) eps))) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) eps))) (.f64 #s(literal 1/6 binary64) (.f64 x (cos.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) eps)))))))))))
#s(approx (- (+ (neg x) (PI)) eps) (+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) eps)))
#s(approx (- (+ (neg x) (PI)) eps) (+.f64 (PI.f64) (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal -1 binary64) x))))
#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 (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 (+ (+ (+ eps x) (PI)) (PI))) (sin x)) (sin.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) (PI.f64)))))
#s(approx (- (sin (+ (+ (+ eps x) (PI)) (PI))) (sin x)) (+.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 x (-.f64 (cos.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 1 binary64)))))
#s(approx (- (sin (+ (+ (+ eps x) (PI)) (PI))) (sin x)) (+.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 x (-.f64 (+.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 #s(literal -1/2 binary64) (.f64 x (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64))))))) #s(literal 1 binary64)))))
#s(approx (- (sin (+ (+ (+ eps x) (PI)) (PI))) (sin x)) (+.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 x (-.f64 (+.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/6 binary64) (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))))))))) #s(literal 1 binary64)))))
#s(approx (sin (+ (+ (+ eps x) (PI)) (PI))) (+.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 x (cos.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) (PI.f64)))))))
#s(approx (sin (+ (+ (+ eps x) (PI)) (PI))) (+.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 x (+.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 #s(literal -1/2 binary64) (.f64 x (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64))))))))))
#s(approx (sin (+ (+ (+ eps x) (PI)) (PI))) (+.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 x (+.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 #s(literal -1/6 binary64) (.f64 x (cos.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64))))))))))))
#s(approx (+ (+ (+ eps x) (PI)) (PI)) (+.f64 eps (*.f64 #s(literal 2 binary64) (PI.f64))))
#s(approx (+ (+ (+ eps x) (PI)) (PI)) (+.f64 eps (+.f64 x (*.f64 #s(literal 2 binary64) (PI.f64)))))
#s(approx (+ (+ eps x) (PI)) (+.f64 eps (PI.f64)))
#s(approx (+ (+ eps x) (PI)) (+.f64 eps (+.f64 x (PI.f64))))
#s(approx (+ eps x) (+.f64 eps x))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/6 binary64) (cos.f64 eps))))) #s(literal 1 binary64))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (cos.f64 eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (cos.f64 eps)) #s(literal 1/120 binary64))))))) #s(literal 1 binary64))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (cos.f64 eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/120 binary64) (cos.f64 eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/5040 binary64) (*.f64 #s(literal -1/5040 binary64) (cos.f64 eps))))) #s(literal 1/120 binary64))))))) #s(literal 1 binary64))))
#s(approx (* (cos eps) (sin x)) (*.f64 x (cos.f64 eps)))
#s(approx (* (cos eps) (sin x)) (.f64 x (+.f64 (cos.f64 eps) (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cos.f64 eps))))))
#s(approx (* (cos eps) (sin x)) (.f64 x (+.f64 (cos.f64 eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 eps) (.f64 #s(literal 1/120 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (cos.f64 eps))))))))
#s(approx (* (cos eps) (sin x)) (.f64 x (+.f64 (cos.f64 eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (cos.f64 eps)) (*.f64 #s(literal 1/120 binary64) (cos.f64 eps)))))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))))
#s(approx (* (+ (* 2 x) eps) -1/2) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
#s(approx (+ (* 2 x) eps) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (* 2 x) eps) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 (+.f64 eps x)) (*.f64 #s(literal -1 binary64) (sin.f64 x))))
#s(approx (- (sin (- (+ (neg x) (PI)) eps)) (sin x)) (+.f64 (sin.f64 (-.f64 (PI.f64) (+.f64 eps x))) (*.f64 #s(literal -1 binary64) (sin.f64 x))))
#s(approx (sin (- (+ (neg x) (PI)) eps)) (sin.f64 (-.f64 (PI.f64) (+.f64 eps x))))
#s(approx (- (+ (neg x) (PI)) eps) (*.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 eps x) (/.f64 (PI.f64) x)) #s(literal 1 binary64))))
#s(approx (+ (neg x) (PI)) (*.f64 x (-.f64 (/.f64 (PI.f64) x) #s(literal 1 binary64))))
#s(approx (sin x) (sin.f64 x))
#s(approx (- (sin (+ (+ (+ eps x) (PI)) (PI))) (sin x)) (+.f64 (sin.f64 (+.f64 eps (+.f64 x (.f64 #s(literal 2 binary64) (PI.f64))))) (.f64 #s(literal -1 binary64) (sin.f64 x))))
#s(approx (sin (+ (+ (+ eps x) (PI)) (PI))) (sin.f64 (+.f64 eps (+.f64 x (*.f64 #s(literal 2 binary64) (PI.f64))))))
#s(approx (+ (+ (+ eps x) (PI)) (PI)) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (PI.f64) x) (/.f64 eps x)))))
#s(approx (+ (+ eps x) (PI)) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 eps x) (/.f64 (PI.f64) x)))))
#s(approx (+ eps x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (fma.f64 #s(literal -1 binary64) (sin.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))))
#s(approx (cos x) (cos.f64 x))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))))
#s(approx (* (cos eps) (sin x)) (*.f64 (cos.f64 eps) (sin.f64 x)))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (cos.f64 (.f64 #s(literal -1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))))
#s(approx (* (+ (* 2 x) eps) -1/2) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))))
#s(approx (+ (* 2 x) eps) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (sin.f64 x))))
#s(approx (- (sin (- (+ (neg x) (PI)) eps)) (sin x)) (+.f64 (sin.f64 (-.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) x)) eps)) (.f64 #s(literal -1 binary64) (sin.f64 x))))
#s(approx (sin (- (+ (neg x) (PI)) eps)) (sin.f64 (-.f64 (+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) x)) eps)))
#s(approx (- (+ (neg x) (PI)) eps) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) eps)) 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 (- (sin (+ (+ (+ eps x) (PI)) (PI))) (sin x)) (+.f64 (sin.f64 (-.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64))) (.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (sin.f64 x))))
#s(approx (sin (+ (+ (+ eps x) (PI)) (PI))) (sin.f64 (-.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64))) (.f64 #s(literal -1 binary64) x))))
#s(approx (+ (+ (+ eps x) (PI)) (PI)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 eps (.f64 #s(literal 2 binary64) (PI.f64))) x)) #s(literal 1 binary64)))))
#s(approx (+ (+ eps x) (PI)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 eps (PI.f64)) x)) #s(literal 1 binary64)))))
#s(approx (+ eps x) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps (cos.f64 (.f64 #s(literal -1 binary64) x))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 (*.f64 #s(literal -1 binary64) x)))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 2 binary64) (.f64 eps (fma.f64 #s(literal -1/16 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1/48 binary64) (cos.f64 (*.f64 #s(literal -1 binary64) x)))))))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal -1/24 binary64) (.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/16 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1/48 binary64) (cos.f64 (*.f64 #s(literal -1 binary64) x))))))))))))
#s(approx (* (sin (* 1/2 (- eps 0))) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (* (sin (* 1/2 (- eps 0))) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1920 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/24 binary64))))))
#s(approx (* (sin (* 1/2 (- eps 0))) 2) (.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 1/1920 binary64) (.f64 #s(literal -1/322560 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/24 binary64))))))
#s(approx (sin (* 1/2 (- eps 0))) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (sin (* 1/2 (- eps 0))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (sin (* 1/2 (- eps 0))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))))))
#s(approx (sin (* 1/2 (- eps 0))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3840 binary64) (.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/48 binary64))))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (cos.f64 (*.f64 #s(literal -1 binary64) x)))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x))))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)))))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1/48 binary64) (.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x))))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 x) (*.f64 #s(literal -1 binary64) (sin.f64 x))))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 x) (fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 eps (cos.f64 x)))))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 x) (fma.f64 #s(literal -1 binary64) (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)) (sin x)) (+.f64 (sin.f64 x) (fma.f64 #s(literal -1 binary64) (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 (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (- (sin (- (+ (neg x) (PI)) eps)) (sin x)) (+.f64 (sin.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (sin.f64 x))))
#s(approx (- (sin (- (+ (neg x) (PI)) eps)) (sin x)) (+.f64 (sin.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) x))) (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 #s(literal -1 binary64) (.f64 eps (cos.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) x))))))))
#s(approx (- (sin (- (+ (neg x) (PI)) eps)) (sin x)) (+.f64 (sin.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) x))) (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1 binary64) (cos.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) x))))))))))
#s(approx (- (sin (- (+ (neg x) (PI)) eps)) (sin x)) (+.f64 (sin.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) x))) (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1 binary64) (cos.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) x))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/6 binary64) (.f64 eps (cos.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) x))))))))))))
#s(approx (sin (- (+ (neg x) (PI)) eps)) (sin.f64 (+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) x))))
#s(approx (sin (- (+ (neg x) (PI)) eps)) (+.f64 (sin.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (.f64 eps (cos.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) x)))))))
#s(approx (sin (- (+ (neg x) (PI)) eps)) (+.f64 (sin.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) x))) (.f64 eps (fma.f64 #s(literal -1 binary64) (cos.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) x)))))))))
#s(approx (sin (- (+ (neg x) (PI)) eps)) (+.f64 (sin.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) x))) (.f64 eps (fma.f64 #s(literal -1 binary64) (cos.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) x))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/6 binary64) (.f64 eps (cos.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) x)))))))))))
#s(approx (- (sin (+ (+ (+ eps x) (PI)) (PI))) (sin x)) (+.f64 (sin.f64 (+.f64 x (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 #s(literal -1 binary64) (sin.f64 x))))
#s(approx (- (sin (+ (+ (+ eps x) (PI)) (PI))) (sin x)) (+.f64 (sin.f64 (+.f64 x (.f64 #s(literal 2 binary64) (PI.f64)))) (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 eps (cos.f64 (+.f64 x (*.f64 #s(literal 2 binary64) (PI.f64))))))))
#s(approx (- (sin (+ (+ (+ eps x) (PI)) (PI))) (sin x)) (+.f64 (sin.f64 (+.f64 x (.f64 #s(literal 2 binary64) (PI.f64)))) (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 eps (+.f64 (cos.f64 (+.f64 x (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 (+.f64 x (.f64 #s(literal 2 binary64) (PI.f64)))))))))))
#s(approx (- (sin (+ (+ (+ eps x) (PI)) (PI))) (sin x)) (+.f64 (sin.f64 (+.f64 x (.f64 #s(literal 2 binary64) (PI.f64)))) (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 eps (+.f64 (cos.f64 (+.f64 x (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 (+.f64 x (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 (+.f64 x (.f64 #s(literal 2 binary64) (PI.f64)))))))))))))
#s(approx (sin (+ (+ (+ eps x) (PI)) (PI))) (sin.f64 (+.f64 x (*.f64 #s(literal 2 binary64) (PI.f64)))))
#s(approx (sin (+ (+ (+ eps x) (PI)) (PI))) (+.f64 (sin.f64 (+.f64 x (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 eps (cos.f64 (+.f64 x (*.f64 #s(literal 2 binary64) (PI.f64)))))))
#s(approx (sin (+ (+ (+ eps x) (PI)) (PI))) (+.f64 (sin.f64 (+.f64 x (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 eps (+.f64 (cos.f64 (+.f64 x (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 (+.f64 x (.f64 #s(literal 2 binary64) (PI.f64))))))))))
#s(approx (sin (+ (+ (+ eps x) (PI)) (PI))) (+.f64 (sin.f64 (+.f64 x (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 eps (+.f64 (cos.f64 (+.f64 x (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 (+.f64 x (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 (+.f64 x (.f64 #s(literal 2 binary64) (PI.f64))))))))))))
#s(approx (+ (+ (+ eps x) (PI)) (PI)) (+.f64 x (*.f64 #s(literal 2 binary64) (PI.f64))))
#s(approx (+ (+ eps x) (PI)) (+.f64 x (PI.f64)))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (+.f64 (sin.f64 x) (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (+.f64 (sin.f64 x) (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))))))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (+.f64 (sin.f64 x) (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)) (.f64 #s(literal 1/24 binary64) (sin.f64 x)))))))))
#s(approx (* (cos eps) (sin x)) (+.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))))
#s(approx (* (cos eps) (sin x)) (+.f64 (sin.f64 x) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))))))
#s(approx (* (cos eps) (sin x)) (+.f64 (sin.f64 x) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)) (.f64 #s(literal 1/24 binary64) (sin.f64 x))))))))
#s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (cos eps) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos eps) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (* (sin (* 1/2 (- eps 0))) 2) (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (sin (* 1/2 (- eps 0))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (* (+ (* 2 x) eps) -1/2) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
#s(approx (+ (* 2 x) eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps)))))
#s(approx (- (+ (neg x) (PI)) eps) (*.f64 #s(literal -1 binary64) eps))
#s(approx (- (+ (neg x) (PI)) eps) (*.f64 eps (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x eps) (/.f64 (PI.f64) eps)) #s(literal 1 binary64))))
#s(approx (+ (+ (+ eps x) (PI)) (PI)) (*.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (PI.f64) eps) (/.f64 x eps)))))
#s(approx (+ (+ eps x) (PI)) (*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 x eps) (/.f64 (PI.f64) eps)))))
#s(approx (+ eps x) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (cos eps) (cos.f64 eps))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (cos.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))
#s(approx (* (+ (* 2 x) eps) -1/2) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))))
#s(approx (+ (* 2 x) eps) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 (-.f64 x (.f64 #s(literal -1 binary64) eps))) (.f64 #s(literal -1 binary64) (sin.f64 x))))
#s(approx (- (sin (- (+ (neg x) (PI)) eps)) (sin x)) (+.f64 (sin.f64 (-.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) eps)) x)) (.f64 #s(literal -1 binary64) (sin.f64 x))))
#s(approx (sin (- (+ (neg x) (PI)) eps)) (sin.f64 (-.f64 (+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) eps)) x)))
#s(approx (- (+ (neg x) (PI)) eps) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) x)) eps))))))
#s(approx (- (sin (+ (+ (+ eps x) (PI)) (PI))) (sin x)) (+.f64 (sin.f64 (-.f64 (+.f64 x (.f64 #s(literal 2 binary64) (PI.f64))) (.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal -1 binary64) (sin.f64 x))))
#s(approx (sin (+ (+ (+ eps x) (PI)) (PI))) (sin.f64 (-.f64 (+.f64 x (.f64 #s(literal 2 binary64) (PI.f64))) (.f64 #s(literal -1 binary64) eps))))
#s(approx (+ (+ (+ eps x) (PI)) (PI)) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (.f64 #s(literal 2 binary64) (PI.f64))) eps)) #s(literal 1 binary64)))))
#s(approx (+ (+ eps x) (PI)) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (PI.f64)) eps)) #s(literal 1 binary64)))))
#s(approx (+ eps x) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))

Calls

6 calls:

Time	Variable	Point
10.0ms	eps	-inf
5.0ms	eps	inf
5.0ms	x	inf
4.0ms	x	0
4.0ms	eps	0

rewrite126.0ms (1.9%)

Memory

29.4MiB live, 172.0MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	169
0	65	154
1	376	143
2	1727	143
0	4038	142

Stop Event

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

Counts

33 → 507

Calls

Call 1

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

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

eval78.0ms (1.2%)

Memory: 11.6MiB live, 145.3MiB allocated; 14ms collecting garbage
Compiler: Compiled 13 115 to 2 711 computations (79.3% saved)

prune38.0ms (0.6%)

Memory

-10.4MiB live, 43.5MiB allocated; 39ms collecting garbage

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	566	14	580
Fresh	8	0	8
Picked	4	1	5
Done	0	1	1
Total	578	16	594

Accuracy

100.0%

Counts

594 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (-.f64 (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))) (.f64 (sin.f64 x) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))))
✓	99.6%	(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
✓	61.9%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	61.9%	(.f64 (.f64 (sin.f64 (.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
	99.8%	(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))))
▶	99.8%	(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) #s(approx (cos ( (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1/48 binary64) (.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x)))))))))))
▶	99.8%	(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) #s(approx (cos ( (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x))))))))
	99.6%	(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) #s(approx (cos ( (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x)))))))
▶	99.5%	(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
	99.7%	(.f64 #s(approx ( (sin (* 1/2 (- eps 0))) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
	3.2%	#s(approx (- (sin (+ (+ (+ eps x) (PI)) (PI))) (sin x)) (sin.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) (PI.f64)))))
▶	97.5%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
	98.1%	#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal -1 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))))
	99.8%	#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal -1/24 binary64) (.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/16 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1/48 binary64) (cos.f64 (*.f64 #s(literal -1 binary64) x))))))))))))
▶	99.6%	#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 (*.f64 #s(literal -1 binary64) x)))))))
	99.1%	#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps (cos.f64 (.f64 #s(literal -1 binary64) x))))

Compiler

Compiled 886 to 615 computations (30.6% saved)

sample0.0ms (0.0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1/2
0
2
-1
-1/8
-1/48
1
-1/6
-1/2

Outputs
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(literal -1/8 binary64)
#s(literal -6004799503160661/288230376151711744 binary64)
#s(literal 1 binary64)
#s(literal -6004799503160661/36028797018963968 binary64)
#s(literal -1/2 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 11 to 11 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series74.0ms (1.1%)

Memory

-14.7MiB live, 122.4MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	749	4537

Stop Event

1×	iter-limit

Counts

51 → 163

Calls

Call 1

Inputs
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) #s(approx (cos ( (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1/48 binary64) (.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x)))))))))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))
#s(literal 1/2 binary64)
(-.f64 eps #s(literal 0 binary64))
eps
#s(literal 0 binary64)
#s(literal 2 binary64)
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1/48 binary64) (.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x))))))))))
(+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1/48 binary64) (.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x)))))))))
(cos.f64 (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1/48 binary64) (.f64 eps (sin.f64 (*.f64 #s(literal -1 binary64) x))))))))
(fma.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1/48 binary64) (.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x)))))))
(sin.f64 (*.f64 #s(literal -1 binary64) x))
(.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1/48 binary64) (.f64 eps (sin.f64 (*.f64 #s(literal -1 binary64) x))))))
(fma.f64 #s(literal -1/8 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1/48 binary64) (.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x)))))
#s(literal -1/8 binary64)
(.f64 #s(literal -1/48 binary64) (.f64 eps (sin.f64 (*.f64 #s(literal -1 binary64) x))))
#s(literal -1/48 binary64)
(.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))
#s(literal -1/6 binary64)
(pow.f64 eps #s(literal 2 binary64))
(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
(.f64 #s(approx (sin ( 1/2 (- eps 0))) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))
#s(approx (sin (* 1/2 (- eps 0))) (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
(cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))
(fma.f64 #s(literal 2 binary64) x eps)
#s(literal -1/2 binary64)
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 (*.f64 #s(literal -1 binary64) x)))))))
(.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 (*.f64 #s(literal -1 binary64) x))))))
(+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x)))))
(.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 (*.f64 #s(literal -1 binary64) x))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) #s(approx (cos ( (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x))))))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)))))))
(+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x))))))
(.f64 eps (fma.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (sin.f64 (*.f64 #s(literal -1 binary64) x)))))
(fma.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x))))
(.f64 eps (cos.f64 (.f64 #s(literal -1 binary64) x)))
(.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)))

Outputs
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (fma.f64 #s(literal 2 binary64) (.f64 x (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal -1 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal -1 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal -1/3 binary64) (.f64 x (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))))))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 x (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 x (+.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 #s(literal -1/2 binary64) (.f64 x (cos.f64 (.f64 #s(literal -1/2 binary64) eps))))))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 x (+.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 #s(literal -1/6 binary64) (.f64 x (sin.f64 (.f64 #s(literal -1/2 binary64) eps))))))))))
#s(approx (+ (cos (* -1 x)) (* eps (+ (* 1/2 (sin (* -1 x))) (* eps (+ (* -1/8 (cos (* -1 x))) (* -1/48 (* eps (sin (* -1 x))))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (+ (cos (* -1 x)) (* eps (+ (* 1/2 (sin (* -1 x))) (* eps (+ (* -1/8 (cos (* -1 x))) (* -1/48 (* eps (sin (* -1 x))))))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))
#s(approx (+ (cos (* -1 x)) (* eps (+ (* 1/2 (sin (* -1 x))) (* eps (+ (* -1/8 (cos (* -1 x))) (* -1/48 (* eps (sin (* -1 x))))))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 eps (-.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))))
#s(approx (+ (cos (* -1 x)) (* eps (+ (* 1/2 (sin (* -1 x))) (* eps (+ (* -1/8 (cos (* -1 x))) (* -1/48 (* eps (sin (* -1 x))))))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 eps (-.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (-.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/288 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal 1/2 binary64))))))))
#s(approx (cos (* -1 x)) #s(literal 1 binary64))
#s(approx (cos (* -1 x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos (* -1 x)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos (* -1 x)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (* -1 x) (*.f64 #s(literal -1 binary64) x))
#s(approx x x)
#s(approx (* eps (+ (* 1/2 (sin (* -1 x))) (* eps (+ (* -1/8 (cos (* -1 x))) (* -1/48 (* eps (sin (* -1 x)))))))) (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (* eps (+ (* 1/2 (sin (* -1 x))) (* eps (+ (* -1/8 (cos (* -1 x))) (* -1/48 (* eps (sin (* -1 x)))))))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
#s(approx (* eps (+ (* 1/2 (sin (* -1 x))) (* eps (+ (* -1/8 (cos (* -1 x))) (* -1/48 (* eps (sin (* -1 x)))))))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x) (.f64 eps (-.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))
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#s(approx (sin (* -1 x)) (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
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#s(approx (* eps (+ (* -1/8 (cos (* -1 x))) (* -1/48 (* eps (sin (* -1 x)))))) (fma.f64 #s(literal -1/8 binary64) eps (.f64 x (fma.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/288 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x) (.f64 #s(literal 1/16 binary64) eps)))))))
#s(approx (+ (* -1/8 (cos (* -1 x))) (* -1/48 (* eps (sin (* -1 x))))) #s(literal -1/8 binary64))
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#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)))))
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#s(approx (* (+ (* 2 x) eps) -1/2) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (* (+ (* 2 x) eps) -1/2) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (+ (* 2 x) eps) eps)
#s(approx (+ (* 2 x) eps) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
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#s(approx (* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 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))))))))
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#s(approx (* 1/2 (* eps (sin (* -1 x)))) (.f64 #s(literal -1/2 binary64) (.f64 eps x)))
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#s(approx (+ (cos (* -1 x)) (* eps (+ (* -1/8 (* eps (cos (* -1 x)))) (* 1/2 (sin (* -1 x)))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64))))))
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#s(approx (* eps (+ (* -1/8 (* eps (cos (* -1 x)))) (* 1/2 (sin (* -1 x))))) (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64)))))
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#s(approx (+ (* -1/8 (* eps (cos (* -1 x)))) (* 1/2 (sin (* -1 x)))) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/8 binary64) eps)))
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#s(approx (* eps (cos (* -1 x))) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* eps (cos (* -1 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))))))))
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#s(approx (* 1/2 (sin (* -1 x))) (*.f64 #s(literal -1/2 binary64) x))
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#s(approx (cos (* -1 x)) (cos.f64 (*.f64 #s(literal -1 binary64) x)))
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#s(approx (sin (* -1 x)) (sin.f64 (*.f64 #s(literal -1 binary64) x)))
#s(approx (* eps (+ (* -1/8 (cos (* -1 x))) (* -1/48 (* eps (sin (* -1 x)))))) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1/48 binary64) (.f64 eps (sin.f64 (*.f64 #s(literal -1 binary64) x)))))))
#s(approx (+ (* -1/8 (cos (* -1 x))) (* -1/48 (* eps (sin (* -1 x))))) (fma.f64 #s(literal -1/8 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1/48 binary64) (.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x))))))
#s(approx (* -1/48 (* eps (sin (* -1 x)))) (.f64 #s(literal -1/48 binary64) (.f64 eps (sin.f64 (*.f64 #s(literal -1 binary64) x)))))
#s(approx (* eps (sin (* -1 x))) (.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x))))
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#s(approx (+ (* 2 x) eps) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (* 2 x) eps) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
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#s(approx (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x))))) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x))))))
#s(approx (* 1/2 (* eps (sin (* -1 x)))) (.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 (*.f64 #s(literal -1 binary64) x)))))
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#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (cos.f64 (.f64 #s(literal -1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))))
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#s(approx (* (+ (* 2 x) eps) -1/2) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))))
#s(approx (+ (* 2 x) eps) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64)))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 2 binary64) (.f64 eps (fma.f64 #s(literal -1/16 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1/48 binary64) (cos.f64 (*.f64 #s(literal -1 binary64) x)))))))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal -1/24 binary64) (.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/16 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1/48 binary64) (cos.f64 (*.f64 #s(literal -1 binary64) x))))))))))))
#s(approx (* (sin (* 1/2 (- eps 0))) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (* (sin (* 1/2 (- eps 0))) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1920 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/24 binary64))))))
#s(approx (* (sin (* 1/2 (- eps 0))) 2) (.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 1/1920 binary64) (.f64 #s(literal -1/322560 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/24 binary64))))))
#s(approx (sin (* 1/2 (- eps 0))) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (sin (* 1/2 (- eps 0))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (sin (* 1/2 (- eps 0))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))))))
#s(approx (sin (* 1/2 (- eps 0))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3840 binary64) (.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/48 binary64))))))
#s(approx (* eps (+ (* -1/8 (cos (* -1 x))) (* -1/48 (* eps (sin (* -1 x)))))) (.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 (*.f64 #s(literal -1 binary64) x)))))
#s(approx (+ (* -1/8 (cos (* -1 x))) (* -1/48 (* eps (sin (* -1 x))))) (.f64 #s(literal -1/8 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x))))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 x) (*.f64 #s(literal -1 binary64) (sin.f64 x))))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 x) (fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 eps (cos.f64 x)))))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 x) (fma.f64 #s(literal -1 binary64) (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)) (sin x)) (+.f64 (sin.f64 x) (fma.f64 #s(literal -1 binary64) (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 (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (+ 1 (* -1/6 (pow eps 2))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (* -1/6 (pow eps 2)) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (pow eps 2) (pow.f64 eps #s(literal 2 binary64)))
#s(approx (* (sin (* 1/2 (- eps 0))) 2) (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (sin (* 1/2 (- eps 0))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (+ (cos (* -1 x)) (* eps (+ (* 1/2 (sin (* -1 x))) (* eps (+ (* -1/8 (cos (* -1 x))) (* -1/48 (* eps (sin (* -1 x))))))))) (.f64 #s(literal -1/48 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (sin.f64 (*.f64 #s(literal -1 binary64) x)))))
#s(approx (+ (cos (* -1 x)) (* eps (+ (* 1/2 (sin (* -1 x))) (* eps (+ (* -1/8 (cos (* -1 x))) (* -1/48 (* eps (sin (* -1 x))))))))) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) eps) (.f64 #s(literal -1/48 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x))))))
#s(approx (+ (cos (* -1 x)) (* eps (+ (* 1/2 (sin (* -1 x))) (* eps (+ (* -1/8 (cos (* -1 x))) (* -1/48 (* eps (sin (* -1 x))))))))) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) eps) (fma.f64 #s(literal -1/48 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (*.f64 #s(literal -1 binary64) x)) (pow.f64 eps #s(literal 2 binary64))))))))
#s(approx (+ (cos (* -1 x)) (* eps (+ (* 1/2 (sin (* -1 x))) (* eps (+ (* -1/8 (cos (* -1 x))) (* -1/48 (* eps (sin (* -1 x))))))))) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) eps) (fma.f64 #s(literal -1/48 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (.f64 #s(literal -1 binary64) x)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 (cos.f64 (*.f64 #s(literal -1 binary64) x)) (pow.f64 eps #s(literal 3 binary64))))))))
#s(approx (+ (* 1/2 (sin (* -1 x))) (* eps (+ (* -1/8 (cos (* -1 x))) (* -1/48 (* eps (sin (* -1 x))))))) (.f64 #s(literal -1/48 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal -1 binary64) x)))))
#s(approx (+ (* 1/2 (sin (* -1 x))) (* eps (+ (* -1/8 (cos (* -1 x))) (* -1/48 (* eps (sin (* -1 x))))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) eps) (.f64 #s(literal -1/48 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x))))))
#s(approx (+ (* 1/2 (sin (* -1 x))) (* eps (+ (* -1/8 (cos (* -1 x))) (* -1/48 (* eps (sin (* -1 x))))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) eps) (fma.f64 #s(literal -1/48 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (*.f64 #s(literal -1 binary64) x)) (pow.f64 eps #s(literal 2 binary64))))))))
#s(approx (+ (* -1/8 (cos (* -1 x))) (* -1/48 (* eps (sin (* -1 x))))) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (/.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) eps) (.f64 #s(literal -1/48 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x))))))
#s(approx (* eps (+ 1 (* -1/6 (pow eps 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (* eps (+ 1 (* -1/6 (pow eps 2)))) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/6 binary64))))
#s(approx (+ 1 (* -1/6 (pow eps 2))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/6 binary64))))
#s(approx (* (+ (* 2 x) eps) -1/2) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
#s(approx (+ (* 2 x) eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps)))))
#s(approx (* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x)))))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal -1 binary64) x)))))
#s(approx (* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x)))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (/.f64 (cos.f64 (*.f64 #s(literal -1 binary64) x)) eps))))
#s(approx (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x))))) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (/.f64 (cos.f64 (*.f64 #s(literal -1 binary64) x)) eps))))
#s(approx (+ (cos (* -1 x)) (* eps (+ (* -1/8 (* eps (cos (* -1 x)))) (* 1/2 (sin (* -1 x)))))) (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1 binary64) x)))))
#s(approx (+ (cos (* -1 x)) (* eps (+ (* -1/8 (* eps (cos (* -1 x)))) (* 1/2 (sin (* -1 x)))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (.f64 #s(literal -1 binary64) x)) eps)))))
#s(approx (+ (cos (* -1 x)) (* eps (+ (* -1/8 (* eps (cos (* -1 x)))) (* 1/2 (sin (* -1 x)))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (.f64 #s(literal -1 binary64) x)) eps) (/.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (+ (* -1/8 (* eps (cos (* -1 x)))) (* 1/2 (sin (* -1 x)))) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (.f64 #s(literal -1 binary64) x)) eps)))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (cos.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))
#s(approx (+ (cos (* -1 x)) (* eps (+ (* 1/2 (sin (* -1 x))) (* eps (+ (* -1/8 (cos (* -1 x))) (* -1/48 (* eps (sin (* -1 x))))))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/48 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 1/8 binary64) (/.f64 (cos.f64 (*.f64 #s(literal -1 binary64) x)) eps))))))
#s(approx (+ (cos (* -1 x)) (* eps (+ (* 1/2 (sin (* -1 x))) (* eps (+ (* -1/8 (cos (* -1 x))) (* -1/48 (* eps (sin (* -1 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 -1/8 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (.f64 #s(literal -1 binary64) x)) eps))) eps) (.f64 #s(literal 1/48 binary64) (sin.f64 (*.f64 #s(literal -1 binary64) x)))))))
#s(approx (+ (cos (* -1 x)) (* eps (+ (* 1/2 (sin (* -1 x))) (* eps (+ (* -1/8 (cos (* -1 x))) (* -1/48 (* eps (sin (* -1 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 (.f64 #s(literal -1 binary64) x)) eps) (.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)))) eps) (.f64 #s(literal -1/8 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)))) eps) (.f64 #s(literal 1/48 binary64) (sin.f64 (*.f64 #s(literal -1 binary64) x)))))))
#s(approx (+ (* 1/2 (sin (* -1 x))) (* eps (+ (* -1/8 (cos (* -1 x))) (* -1/48 (* eps (sin (* -1 x))))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 (.f64 #s(literal -1 binary64) x)) eps) (.f64 #s(literal 1/8 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)))) eps) (.f64 #s(literal -1/48 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x))))))
#s(approx (+ (* -1/8 (cos (* -1 x))) (* -1/48 (* eps (sin (* -1 x))))) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal 1/48 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 1/8 binary64) (/.f64 (cos.f64 (*.f64 #s(literal -1 binary64) x)) eps))))))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 (-.f64 x (.f64 #s(literal -1 binary64) eps))) (.f64 #s(literal -1 binary64) (sin.f64 x))))
#s(approx (* eps (+ 1 (* -1/6 (pow eps 2)))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (* (+ (* 2 x) eps) -1/2) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))))
#s(approx (+ (* 2 x) eps) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x))))) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) eps) (.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal -1 binary64) x)))))))
#s(approx (+ (cos (* -1 x)) (* eps (+ (* -1/8 (* eps (cos (* -1 x)))) (* 1/2 (sin (* -1 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 (.f64 #s(literal -1 binary64) x)) eps) (.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)))) eps) (.f64 #s(literal -1/8 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x))))))
#s(approx (+ (* -1/8 (* eps (cos (* -1 x)))) (* 1/2 (sin (* -1 x)))) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 (.f64 #s(literal -1 binary64) x)) eps) (.f64 #s(literal 1/8 binary64) (cos.f64 (*.f64 #s(literal -1 binary64) x)))))))

Calls

6 calls:

Time	Variable	Point
11.0ms	eps	-inf
10.0ms	eps	0
9.0ms	x	inf
6.0ms	eps	inf
5.0ms	x	-inf

rewrite149.0ms (2.3%)

Memory

26.8MiB live, 170.9MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	562
0	103	493
1	416	470
2	1848	461
0	4393	451

Stop Event

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

Counts

51 → 658

Calls

Call 1

Inputs
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) #s(approx (cos ( (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1/48 binary64) (.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x)))))))))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))
#s(literal 1/2 binary64)
(-.f64 eps #s(literal 0 binary64))
eps
#s(literal 0 binary64)
#s(literal 2 binary64)
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1/48 binary64) (.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x))))))))))
(+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1/48 binary64) (.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x)))))))))
(cos.f64 (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1/48 binary64) (.f64 eps (sin.f64 (*.f64 #s(literal -1 binary64) x))))))))
(fma.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1/48 binary64) (.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x)))))))
(sin.f64 (*.f64 #s(literal -1 binary64) x))
(.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1/48 binary64) (.f64 eps (sin.f64 (*.f64 #s(literal -1 binary64) x))))))
(fma.f64 #s(literal -1/8 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1/48 binary64) (.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x)))))
#s(literal -1/8 binary64)
(.f64 #s(literal -1/48 binary64) (.f64 eps (sin.f64 (*.f64 #s(literal -1 binary64) x))))
#s(literal -1/48 binary64)
(.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))
#s(literal -1/6 binary64)
(pow.f64 eps #s(literal 2 binary64))
(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
(.f64 #s(approx (sin ( 1/2 (- eps 0))) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))
#s(approx (sin (* 1/2 (- eps 0))) (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
(cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))
(fma.f64 #s(literal 2 binary64) x eps)
#s(literal -1/2 binary64)
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 (*.f64 #s(literal -1 binary64) x)))))))
(.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 (*.f64 #s(literal -1 binary64) x))))))
(+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x)))))
(.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 (*.f64 #s(literal -1 binary64) x))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) #s(approx (cos ( (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x))))))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)))))))
(+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x))))))
(.f64 eps (fma.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (sin.f64 (*.f64 #s(literal -1 binary64) x)))))
(fma.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x))))
(.f64 eps (cos.f64 (.f64 #s(literal -1 binary64) x)))
(.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)))

Outputs
(.f64 (.f64 #s(approx (cos (* (+ (* 2 x) eps) -1/2)) (fma.f64 eps (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (.f64 (.f64 #s(literal -1/48 binary64) eps) (sin.f64 x))) eps) (.f64 (sin.f64 x) #s(literal 1/2 binary64))) (cos.f64 x))) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 #s(approx (cos (* (+ (* 2 x) eps) -1/2)) (fma.f64 eps (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (.f64 (.f64 #s(literal -1/48 binary64) eps) (sin.f64 x))) eps) (.f64 (sin.f64 x) #s(literal 1/2 binary64))) (cos.f64 x))) #s(literal 2 binary64)) (sin.f64 (.f64 eps #s(literal 1/2 binary64))))
(.f64 #s(approx (cos ( (+ (* 2 x) eps) -1/2)) (fma.f64 eps (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (.f64 (.f64 #s(literal -1/48 binary64) eps) (sin.f64 x))) eps) (.f64 (sin.f64 x) #s(literal 1/2 binary64))) (cos.f64 x))) (.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(approx (cos ( (+ (* 2 x) eps) -1/2)) (fma.f64 eps (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (.f64 (.f64 #s(literal -1/48 binary64) eps) (sin.f64 x))) eps) (*.f64 (sin.f64 x) #s(literal 1/2 binary64))) (cos.f64 x))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(approx (cos ( (+ (* 2 x) eps) -1/2)) (fma.f64 eps (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (.f64 (.f64 #s(literal -1/48 binary64) eps) (sin.f64 x))) eps) (*.f64 (sin.f64 x) #s(literal 1/2 binary64))) (cos.f64 x)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 #s(approx (cos ( (+ (* 2 x) eps) -1/2)) (fma.f64 eps (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (.f64 (.f64 #s(literal -1/48 binary64) eps) (sin.f64 x))) eps) (*.f64 (sin.f64 x) #s(literal 1/2 binary64))) (cos.f64 x))) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (fma.f64 eps #s(literal 1/2 binary64) (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (.f64 eps #s(literal 1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (sin.f64 (.f64 eps #s(literal 1/2 binary64))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1 binary64) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 #s(literal 1 binary64) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) (-.f64 (.f64 (.f64 #s(literal 1 binary64) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 #s(literal 1 binary64) (sin.f64 (.f64 eps #s(literal 1/2 binary64))))) (.f64 (.f64 #s(literal 1 binary64) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 #s(literal 1 binary64) (sin.f64 (.f64 eps #s(literal 1/2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (-.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal 1 binary64) (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 #s(literal 1 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(fma.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 1 binary64) (.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 #s(literal 1 binary64) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))
(+.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (.f64 eps #s(literal 1/2 binary64))))
(neg.f64 (sin.f64 (*.f64 (neg.f64 eps) #s(literal 1/2 binary64))))
(neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 eps))))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(fma.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 1 binary64) (.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 0 binary64)))
(+.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (cos.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 0 binary64)))
(*.f64 eps #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) eps)
(/.f64 (+.f64 (pow.f64 (.f64 eps #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (fma.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 eps #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 (.f64 eps #s(literal 1/2 binary64)) #s(literal 0 binary64)))))
(neg.f64 (*.f64 (neg.f64 eps) #s(literal 1/2 binary64)))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 eps)))
(fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))
(+.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 0 binary64))
#s(literal 1/2 binary64)
eps
eps
#s(literal 0 binary64)
#s(literal 2 binary64)
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (fma.f64 eps (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (.f64 (.f64 #s(literal -1/48 binary64) eps) (sin.f64 x))) eps) (*.f64 (sin.f64 x) #s(literal 1/2 binary64))) (cos.f64 x)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (.f64 (.f64 #s(literal -1/48 binary64) eps) (sin.f64 x))) eps) (.f64 (sin.f64 x) #s(literal 1/2 binary64))) eps))) (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (.f64 (.f64 #s(literal -1/48 binary64) eps) (sin.f64 x))) eps) (*.f64 (sin.f64 x) #s(literal 1/2 binary64))) eps))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 eps) (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (.f64 (.f64 #s(literal -1/48 binary64) eps) (sin.f64 x))) eps) (*.f64 (sin.f64 x) #s(literal 1/2 binary64)))) (cos.f64 x))) (cos.f64 x))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (.f64 (.f64 #s(literal -1/48 binary64) eps) (sin.f64 x))) eps) (*.f64 (sin.f64 x) #s(literal 1/2 binary64))) eps) (cos.f64 x))) (cos.f64 x))
(/.f64 (+.f64 (pow.f64 (-.f64 (cos.f64 x) (.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64)) eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (.f64 (.f64 #s(literal -1/48 binary64) eps) (sin.f64 x))) (.f64 eps eps)) #s(literal 3 binary64))) (fma.f64 (-.f64 (cos.f64 x) (.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64)) eps)) (-.f64 (cos.f64 x) (.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64)) eps)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (.f64 (.f64 #s(literal -1/48 binary64) eps) (sin.f64 x))) (.f64 eps eps)) (.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (.f64 (.f64 #s(literal -1/48 binary64) eps) (sin.f64 x))) (.f64 eps eps))) (.f64 (-.f64 (cos.f64 x) (.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64)) eps)) (.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (.f64 (.f64 #s(literal -1/48 binary64) eps) (sin.f64 x))) (.f64 eps eps))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (neg.f64 (sin.f64 x)) #s(literal 1/2 binary64)) eps) #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (.f64 (.f64 #s(literal -1/48 binary64) eps) (sin.f64 x))) (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (neg.f64 (sin.f64 x)) #s(literal 1/2 binary64)) eps) (.f64 (.f64 (neg.f64 (sin.f64 x)) #s(literal 1/2 binary64)) eps) (-.f64 (.f64 (fma.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (.f64 (.f64 #s(literal -1/48 binary64) eps) (sin.f64 x))) (cos.f64 x)) (fma.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (.f64 (.f64 #s(literal -1/48 binary64) eps) (sin.f64 x))) (cos.f64 x))) (.f64 (.f64 (.f64 (neg.f64 (sin.f64 x)) #s(literal 1/2 binary64)) eps) (fma.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (.f64 (.f64 #s(literal -1/48 binary64) eps) (sin.f64 x))) (cos.f64 x))))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (.f64 (.f64 #s(literal -1/48 binary64) eps) (sin.f64 x))) eps) (.f64 (sin.f64 x) #s(literal 1/2 binary64))) eps) #s(literal 3 binary64)) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (.f64 (.f64 #s(literal -1/48 binary64) eps) (sin.f64 x))) eps) (.f64 (sin.f64 x) #s(literal 1/2 binary64))) eps) (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (.f64 (.f64 #s(literal -1/48 binary64) eps) (sin.f64 x))) eps) (.f64 (sin.f64 x) #s(literal 1/2 binary64))) eps) (fma.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)) (.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (.f64 (.f64 #s(literal -1/48 binary64) eps) (sin.f64 x))) eps) (*.f64 (sin.f64 x) #s(literal 1/2 binary64))) eps) (neg.f64 (cos.f64 x))))))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (.f64 (.f64 #s(literal -1/48 binary64) eps) (sin.f64 x))) eps) (.f64 (sin.f64 x) #s(literal 1/2 binary64))) eps) (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (.f64 (.f64 #s(literal -1/48 binary64) eps) (sin.f64 x))) eps) (.f64 (sin.f64 x) #s(literal 1/2 binary64))) eps)) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (.f64 (.f64 #s(literal -1/48 binary64) eps) (sin.f64 x))) eps) (.f64 (sin.f64 x) #s(literal 1/2 binary64))) eps) (cos.f64 x)))
(/.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (.f64 (neg.f64 eps) (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (.f64 (.f64 #s(literal -1/48 binary64) eps) (sin.f64 x))) eps) (.f64 (sin.f64 x) #s(literal 1/2 binary64)))) (.f64 (neg.f64 eps) (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (.f64 (.f64 #s(literal -1/48 binary64) eps) (sin.f64 x))) eps) (.f64 (sin.f64 x) #s(literal 1/2 binary64)))))) (+.f64 (cos.f64 x) (.f64 (neg.f64 eps) (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (.f64 (.f64 #s(literal -1/48 binary64) eps) (sin.f64 x))) eps) (.f64 (sin.f64 x) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (.f64 (.f64 #s(literal -1/48 binary64) eps) (sin.f64 x))) eps) (.f64 (sin.f64 x) #s(literal 1/2 binary64))) eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (.f64 (.f64 #s(literal -1/48 binary64) eps) (sin.f64 x))) eps) (.f64 (sin.f64 x) #s(literal 1/2 binary64))) eps) (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (.f64 (.f64 #s(literal -1/48 binary64) eps) (sin.f64 x))) eps) (.f64 (sin.f64 x) #s(literal 1/2 binary64))) eps) (-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (.f64 (.f64 #s(literal -1/48 binary64) eps) (sin.f64 x))) eps) (.f64 (sin.f64 x) #s(literal 1/2 binary64))) eps) (cos.f64 x)))))
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(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) eps) (.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) eps)) (.f64 (.f64 (neg.f64 (sin.f64 x)) #s(literal 1/2 binary64)) (.f64 (neg.f64 (sin.f64 x)) #s(literal 1/2 binary64)))) (-.f64 (.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) eps) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) eps) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (sin.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) eps) (.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) eps) (-.f64 (.f64 (.f64 (neg.f64 (sin.f64 x)) #s(literal 1/2 binary64)) (.f64 (neg.f64 (sin.f64 x)) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) eps) (.f64 (neg.f64 (sin.f64 x)) #s(literal 1/2 binary64))))))
(neg.f64 (-.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64)) (.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) eps)))
(fma.f64 (.f64 #s(literal -1/8 binary64) eps) (cos.f64 x) (neg.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64))))
(fma.f64 (.f64 #s(literal -1/8 binary64) eps) (cos.f64 x) (.f64 (neg.f64 (sin.f64 x)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) eps (neg.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64))))
(fma.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) eps (.f64 (neg.f64 (sin.f64 x)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/8 binary64) (neg.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64))))
(fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/8 binary64) (.f64 (neg.f64 (sin.f64 x)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/8 binary64) (.f64 (cos.f64 x) eps) (neg.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1/8 binary64) (.f64 (cos.f64 x) eps) (.f64 (neg.f64 (sin.f64 x)) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) eps))
(fma.f64 (cos.f64 x) (.f64 #s(literal -1/8 binary64) eps) (neg.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64))))
(fma.f64 (cos.f64 x) (.f64 #s(literal -1/8 binary64) eps) (.f64 (neg.f64 (sin.f64 x)) #s(literal 1/2 binary64)))
(fma.f64 eps (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (neg.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64))))
(fma.f64 eps (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (.f64 (neg.f64 (sin.f64 x)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (sin.f64 x)) (.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) eps))
(-.f64 (.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) eps) (*.f64 (sin.f64 x) #s(literal 1/2 binary64)))
(-.f64 (.f64 (neg.f64 (sin.f64 x)) #s(literal 1/2 binary64)) (.f64 (neg.f64 (*.f64 #s(literal -1/8 binary64) eps)) (cos.f64 x)))
(-.f64 (.f64 (neg.f64 (sin.f64 x)) #s(literal 1/2 binary64)) (.f64 (neg.f64 (*.f64 (cos.f64 x) eps)) #s(literal -1/8 binary64)))
(-.f64 (.f64 (neg.f64 (sin.f64 x)) #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) (*.f64 (cos.f64 x) eps)))
(-.f64 (.f64 (neg.f64 (sin.f64 x)) #s(literal 1/2 binary64)) (neg.f64 (.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) eps)))
(+.f64 (.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) eps) (neg.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64))))
(+.f64 (.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) eps) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1/2 binary64)))
(+.f64 (.f64 (neg.f64 (sin.f64 x)) #s(literal 1/2 binary64)) (.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) eps))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 x) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 x) eps) (.f64 (cos.f64 x) eps) (-.f64 (.f64 (.f64 (cos.f64 x) #s(literal 0 binary64)) (.f64 (cos.f64 x) #s(literal 0 binary64))) (.f64 (.f64 (cos.f64 x) eps) (.f64 (cos.f64 x) #s(literal 0 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 x) eps) (.f64 (cos.f64 x) eps) (-.f64 (.f64 (.f64 #s(literal 0 binary64) (cos.f64 x)) (.f64 #s(literal 0 binary64) (cos.f64 x))) (.f64 (.f64 (cos.f64 x) eps) (.f64 #s(literal 0 binary64) (cos.f64 x))))))
(neg.f64 (*.f64 (neg.f64 eps) (cos.f64 x)))
(neg.f64 (*.f64 (cos.f64 x) (neg.f64 eps)))
(fma.f64 (cos.f64 x) eps (*.f64 (cos.f64 x) #s(literal 0 binary64)))
(fma.f64 (cos.f64 x) eps (*.f64 #s(literal 0 binary64) (cos.f64 x)))
(fma.f64 eps (cos.f64 x) (*.f64 (cos.f64 x) #s(literal 0 binary64)))
(fma.f64 eps (cos.f64 x) (*.f64 #s(literal 0 binary64) (cos.f64 x)))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 (cos.f64 x) #s(literal 0 binary64)))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 #s(literal 0 binary64) (cos.f64 x)))
(*.f64 (neg.f64 (sin.f64 x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (neg.f64 (sin.f64 x)))

eval155.0ms (2.4%)

Memory: 1.1MiB live, 274.8MiB allocated; 53ms collecting garbage
Compiler: Compiled 44 334 to 5 457 computations (87.7% saved)

prune34.0ms (0.5%)

Memory

-8.4MiB live, 85.2MiB allocated; 5ms collecting garbage

Pruning

25 alts after pruning (22 fresh and 3 done)

	Pruned	Kept	Total
New	921	15	936
Fresh	2	7	9
Picked	4	1	5
Done	0	2	2
Total	927	25	952

Accuracy

100.0%

Counts

952 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (-.f64 (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))) (.f64 (sin.f64 x) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))))
✓	99.6%	(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
✓	61.9%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	61.9%	(.f64 (.f64 (sin.f64 (.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
	99.8%	(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))))
	99.8%	(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) #s(approx (cos ( (+ (* 2 x) eps) -1/2)) (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) eps) eps (-.f64 (cos.f64 x) (.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64)) eps)))))
▶	99.8%	(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) #s(approx (cos ( (+ (* 2 x) eps) -1/2)) (fma.f64 (.f64 (neg.f64 (sin.f64 x)) eps) #s(literal 1/2 binary64) (fma.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (.f64 (*.f64 #s(literal -1/48 binary64) eps) (sin.f64 x))) (cos.f64 x)))))
	99.6%	(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) #s(approx (cos ( (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x)))))))
	99.6%	(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (sin.f64 (/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) eps) (PI.f64)) #s(literal 2 binary64))))
✓	99.5%	(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
▶	99.5%	(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (.f64 (/.f64 (-.f64 (.f64 (+.f64 x x) (+.f64 x x)) (.f64 eps eps)) (-.f64 (+.f64 x x) eps)) #s(literal -1/2 binary64))))
	99.6%	(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) #s(approx (cos ( (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x))))))))
	99.7%	(.f64 #s(approx ( (sin (* 1/2 (- eps 0))) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
	99.8%	(.f64 #s(approx ( (sin (* 1/2 (- eps 0))) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) #s(approx (cos (* (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x))))))))
	3.2%	#s(approx (- (sin (+ (+ (+ eps x) (PI)) (PI))) (sin x)) (sin.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) (PI.f64)))))
▶	97.5%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (fma.f64 (.f64 (.f64 eps eps) eps) #s(literal -1/6 binary64) eps)))
	99.6%	#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 (-.f64 (cos.f64 x) (.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) eps)) eps))
	98.9%	#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) #s(approx (* 1/2 (* eps (sin (* -1 x)))) (.f64 #s(literal -1/2 binary64) (.f64 eps x))))))
	99.1%	#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps (cos.f64 (.f64 #s(literal -1 binary64) x))))
	98.1%	#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps #s(approx (+ (cos ( -1 x)) (* 1/2 (* eps (sin (* -1 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)))))))))
	98.1%	#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps #s(approx (+ (cos ( -1 x)) (* 1/2 (* eps (sin (* -1 x))))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal -1/2 binary64) x)))))))
	97.6%	#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps #s(approx (+ (cos ( -1 x)) (* 1/2 (* eps (sin (* -1 x))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x))))))
▶	98.1%	#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) #s(approx (* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 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))))))))
	97.6%	#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) #s(approx (* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x)))))) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
▶	52.0%	#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) #s(approx (* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x)))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (/.f64 (cos.f64 (*.f64 #s(literal -1 binary64) x)) eps)))))

Compiler

Compiled 1 538 to 1 114 computations (27.6% saved)

sample0.0ms (0.0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1/2
0
2
-1/8
-1/48
-1/6
-1/2
-1

Outputs
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
#s(literal -1/8 binary64)
#s(literal -6004799503160661/288230376151711744 binary64)
#s(literal -6004799503160661/36028797018963968 binary64)
#s(literal -1/2 binary64)
#s(literal -1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 10 to 10 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series98.0ms (1.5%)

Memory

30.9MiB live, 174.3MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	821	4488

Stop Event

1×	iter-limit

Counts

58 → 177

Calls

Call 1

Inputs
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) #s(approx (cos ( (+ (* 2 x) eps) -1/2)) (fma.f64 (.f64 (neg.f64 (sin.f64 x)) eps) #s(literal 1/2 binary64) (fma.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (.f64 (*.f64 #s(literal -1/48 binary64) eps) (sin.f64 x))) (cos.f64 x)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))
#s(literal 1/2 binary64)
(-.f64 eps #s(literal 0 binary64))
eps
#s(literal 0 binary64)
#s(literal 2 binary64)
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (fma.f64 (.f64 (neg.f64 (sin.f64 x)) eps) #s(literal 1/2 binary64) (fma.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (.f64 (*.f64 #s(literal -1/48 binary64) eps) (sin.f64 x))) (cos.f64 x))))
(fma.f64 (.f64 (neg.f64 (sin.f64 x)) eps) #s(literal 1/2 binary64) (fma.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (.f64 (*.f64 #s(literal -1/48 binary64) eps) (sin.f64 x))) (cos.f64 x)))
(*.f64 (neg.f64 (sin.f64 x)) eps)
(neg.f64 (sin.f64 x))
(sin.f64 x)
x
(fma.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (.f64 (.f64 #s(literal -1/48 binary64) eps) (sin.f64 x))) (cos.f64 x))
(*.f64 eps eps)
(-.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (.f64 (*.f64 #s(literal -1/48 binary64) eps) (sin.f64 x)))
(*.f64 #s(literal -1/8 binary64) (cos.f64 x))
#s(literal -1/8 binary64)
(cos.f64 x)
(.f64 (.f64 #s(literal -1/48 binary64) eps) (sin.f64 x))
(*.f64 #s(literal -1/48 binary64) eps)
#s(literal -1/48 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (fma.f64 (.f64 (.f64 eps eps) eps) #s(literal -1/6 binary64) eps)))
#s(approx (sin eps) (fma.f64 (.f64 (.f64 eps eps) eps) #s(literal -1/6 binary64) eps))
(fma.f64 (.f64 (.f64 eps eps) eps) #s(literal -1/6 binary64) eps)
(.f64 (.f64 eps eps) eps)
#s(literal -1/6 binary64)
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) #s(approx (* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 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 (* -1 x)) (* 1/2 (* eps (sin (* -1 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)))))))
(+.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))))))
(.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)))))
(fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(literal -1/2 binary64)
(*.f64 eps x)
(*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))
(pow.f64 eps #s(literal 2 binary64))
(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (.f64 (/.f64 (-.f64 (.f64 (+.f64 x x) (+.f64 x x)) (.f64 eps eps)) (-.f64 (+.f64 x x) eps)) #s(literal -1/2 binary64))))
(.f64 #s(approx (sin ( 1/2 (- eps 0))) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))
#s(approx (sin (* 1/2 (- eps 0))) (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
(cos.f64 (.f64 (/.f64 (-.f64 (.f64 (+.f64 x x) (+.f64 x x)) (*.f64 eps eps)) (-.f64 (+.f64 x x) eps)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (-.f64 (.f64 (+.f64 x x) (+.f64 x x)) (*.f64 eps eps)) (-.f64 (+.f64 x x) eps)) #s(literal -1/2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 x x) (+.f64 x x)) (.f64 eps eps)) (-.f64 (+.f64 x x) eps))
(-.f64 (.f64 (+.f64 x x) (+.f64 x x)) (.f64 eps eps))
(*.f64 (+.f64 x x) (+.f64 x x))
(+.f64 x x)
(-.f64 (+.f64 x x) eps)
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) #s(approx (* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x)))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (/.f64 (cos.f64 (*.f64 #s(literal -1 binary64) x)) eps)))))
#s(approx (* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x)))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (/.f64 (cos.f64 (*.f64 #s(literal -1 binary64) x)) eps))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (/.f64 (cos.f64 (*.f64 #s(literal -1 binary64) x)) eps)))
(fma.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (/.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) eps))
(sin.f64 (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(/.f64 (cos.f64 (*.f64 #s(literal -1 binary64) x)) eps)
(cos.f64 (*.f64 #s(literal -1 binary64) x))

Outputs
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (fma.f64 #s(literal 2 binary64) (.f64 x (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal -1 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal -1 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal -1/3 binary64) (.f64 x (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))))))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 x (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 x (+.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 #s(literal -1/2 binary64) (.f64 x (cos.f64 (.f64 #s(literal -1/2 binary64) eps))))))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 x (+.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 #s(literal -1/6 binary64) (.f64 x (sin.f64 (.f64 #s(literal -1/2 binary64) eps))))))))))
#s(approx (+ (* (* (neg (sin x)) eps) 1/2) (+ (* (* eps eps) (- (* -1/8 (cos x)) (* (* -1/48 eps) (sin x)))) (cos x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (+ (* (* (neg (sin x)) eps) 1/2) (+ (* (* eps eps) (- (* -1/8 (cos x)) (* (* -1/48 eps) (sin x)))) (cos x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 3 binary64))))))))
#s(approx (+ (* (* (neg (sin x)) eps) 1/2) (+ (* (* eps eps) (- (* -1/8 (cos x)) (* (* -1/48 eps) (sin x)))) (cos x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (fma.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))))
#s(approx (+ (* (* (neg (sin x)) eps) 1/2) (+ (* (* eps eps) (- (* -1/8 (cos x)) (* (* -1/48 eps) (sin x)))) (cos x))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (fma.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 x (-.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/288 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 #s(literal 1/12 binary64) eps)))) #s(literal 1/2 binary64)))))))))
#s(approx (* (neg (sin x)) eps) (.f64 #s(literal -1 binary64) (.f64 eps x)))
#s(approx (* (neg (sin x)) eps) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (neg (sin x)) eps) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/6 binary64) eps))))))
#s(approx (* (neg (sin x)) eps) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) eps (.f64 #s(literal 1/5040 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))))
#s(approx (neg (sin x)) (*.f64 #s(literal -1 binary64) x))
#s(approx (neg (sin x)) (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (neg (sin x)) (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))))
#s(approx (neg (sin x)) (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/120 binary64))))) #s(literal 1 binary64))))
#s(approx (sin x) x)
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (+ (* (* eps eps) (- (* -1/8 (cos x)) (* (* -1/48 eps) (sin x)))) (cos x)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/48 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) x)))))
#s(approx (+ (* (* eps eps) (- (* -1/8 (cos x)) (* (* -1/48 eps) (sin x)))) (cos x)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))))
#s(approx (+ (* (* eps eps) (- (* -1/8 (cos x)) (* (* -1/48 eps) (sin x)))) (cos x)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 x (-.f64 (fma.f64 #s(literal -1/288 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) x) (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))))
#s(approx (- (* -1/8 (cos x)) (* (* -1/48 eps) (sin x))) #s(literal -1/8 binary64))
#s(approx (- (* -1/8 (cos x)) (* (* -1/48 eps) (sin x))) (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 eps x)) #s(literal 1/8 binary64)))
#s(approx (- (* -1/8 (cos x)) (* (* -1/48 eps) (sin x))) (-.f64 (.f64 x (fma.f64 #s(literal 1/48 binary64) eps (.f64 #s(literal 1/16 binary64) x))) #s(literal 1/8 binary64)))
#s(approx (- (* -1/8 (cos x)) (* (* -1/48 eps) (sin x))) (-.f64 (.f64 x (fma.f64 #s(literal 1/48 binary64) eps (.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 #s(literal -1/288 binary64) (.f64 eps x)))))) #s(literal 1/8 binary64)))
#s(approx (* -1/8 (cos x)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64)))
#s(approx (* -1/8 (cos x)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/16 binary64) (.f64 #s(literal -1/192 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/8 binary64)))
#s(approx (* -1/8 (cos x)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/5760 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/192 binary64))))) #s(literal 1/8 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (* (* -1/48 eps) (sin x)) (.f64 #s(literal -1/48 binary64) (.f64 eps x)))
#s(approx (* (* -1/48 eps) (sin x)) (.f64 x (fma.f64 #s(literal -1/48 binary64) eps (.f64 #s(literal 1/288 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (* -1/48 eps) (sin x)) (.f64 x (fma.f64 #s(literal -1/48 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/5760 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/288 binary64) eps))))))
#s(approx (* (* -1/48 eps) (sin x)) (.f64 x (fma.f64 #s(literal -1/48 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/288 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/5760 binary64) eps (.f64 #s(literal 1/241920 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))))
#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 (* -1 x)) (* 1/2 (* eps (sin (* -1 x)))))) eps)
#s(approx (* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x)))))) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
#s(approx (* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 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 (* -1 x)) (* 1/2 (* eps (sin (* -1 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 (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
#s(approx (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))) (.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 (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2))) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2))) (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 x) (*.f64 eps x))
#s(approx (* (/ (- (* (+ x x) (+ x x)) (* eps eps)) (- (+ x x) eps)) -1/2) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (* (/ (- (* (+ x x) (+ x x)) (* eps eps)) (- (+ x x) eps)) -1/2) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (/ (- (* (+ x x) (+ x x)) (* eps eps)) (- (+ x x) eps)) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
#s(approx (- (* (+ x x) (+ x x)) (* eps eps)) (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (- (* (+ x x) (+ x x)) (* eps eps)) (fma.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* (+ x x) (+ x x)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ x x) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (+ x x) eps) (*.f64 #s(literal -1 binary64) eps))
#s(approx (- (+ x x) eps) (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal 2 binary64) x)))
#s(approx (+ (* 1/2 (sin (* -1 x))) (/ (cos (* -1 x)) eps)) (/.f64 #s(literal 1 binary64) eps))
#s(approx (+ (* 1/2 (sin (* -1 x))) (/ (cos (* -1 x)) eps)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) eps)))
#s(approx (+ (* 1/2 (sin (* -1 x))) (/ (cos (* -1 x)) eps)) (fma.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) eps)))
#s(approx (+ (* 1/2 (sin (* -1 x))) (/ (cos (* -1 x)) eps)) (fma.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) eps)))
#s(approx (/ (cos (* -1 x)) eps) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) (/.f64 #s(literal 1 binary64) eps)))
#s(approx (/ (cos (* -1 x)) eps) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps))) (/.f64 #s(literal 1 binary64) eps)))
#s(approx (/ (cos (* -1 x)) eps) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) (.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps))) (/.f64 #s(literal 1 binary64) eps)))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))))
#s(approx (+ (* (* (neg (sin x)) eps) 1/2) (+ (* (* eps eps) (- (* -1/8 (cos x)) (* (* -1/48 eps) (sin x)))) (cos x))) (+.f64 (cos.f64 x) (fma.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (.f64 #s(literal 1/48 binary64) (.f64 eps (sin.f64 x))))))))
#s(approx (* (neg (sin x)) eps) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x))))
#s(approx (neg (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))
#s(approx (sin x) (sin.f64 x))
#s(approx (+ (* (* eps eps) (- (* -1/8 (cos x)) (* (* -1/48 eps) (sin x)))) (cos x)) (+.f64 (cos.f64 x) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))))))
#s(approx (- (* -1/8 (cos x)) (* (* -1/48 eps) (sin x))) (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (.f64 #s(literal 1/48 binary64) (.f64 eps (sin.f64 x)))))
#s(approx (* -1/8 (cos x)) (*.f64 #s(literal -1/8 binary64) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (* (* -1/48 eps) (sin x)) (.f64 #s(literal -1/48 binary64) (.f64 eps (sin.f64 x))))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 (+.f64 eps x)) (*.f64 #s(literal -1 binary64) (sin.f64 x))))
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#s(approx (+ (* (* (neg (sin x)) eps) 1/2) (+ (* (* eps eps) (- (* -1/8 (cos x)) (* (* -1/48 eps) (sin x)))) (cos x))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/48 binary64) (sin.f64 x) (*.f64 #s(literal 1/8 binary64) (/.f64 (cos.f64 x) eps))))))
#s(approx (+ (* (* (neg (sin x)) eps) 1/2) (+ (* (* eps eps) (- (* -1/8 (cos x)) (* (* -1/48 eps) (sin x)))) (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 -1/8 binary64) (cos.f64 x))) eps) (.f64 #s(literal -1/48 binary64) (sin.f64 x))))))
#s(approx (+ (* (* (neg (sin x)) eps) 1/2) (+ (* (* eps eps) (- (* -1/8 (cos x)) (* (* -1/48 eps) (sin x)))) (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 -1/8 binary64) (cos.f64 x))) eps) (*.f64 #s(literal -1/48 binary64) (sin.f64 x))))))
#s(approx (+ (* (* eps eps) (- (* -1/8 (cos x)) (* (* -1/48 eps) (sin x)))) (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 -1/8 binary64) (cos.f64 x) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64)))) eps) (*.f64 #s(literal -1/48 binary64) (sin.f64 x))))))
#s(approx (- (* -1/8 (cos x)) (* (* -1/48 eps) (sin x))) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1/48 binary64) (sin.f64 x) (*.f64 #s(literal 1/8 binary64) (/.f64 (cos.f64 x) eps))))))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 (-.f64 x (.f64 #s(literal -1 binary64) eps))) (.f64 #s(literal -1 binary64) (sin.f64 x))))
#s(approx (+ (* (* (* eps eps) eps) -1/6) eps) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) eps) (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (/ (- (* (+ x x) (+ x x)) (* eps eps)) (- (+ x x) eps)) -1/2))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal 2 binary64) x))))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (cos (* (/ (- (* (+ x x) (+ x x)) (* eps eps)) (- (+ x x) eps)) -1/2)) (cos.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal 2 binary64) x))))))
#s(approx (* (/ (- (* (+ x x) (+ x x)) (* eps eps)) (- (+ x x) eps)) -1/2) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))))
#s(approx (/ (- (* (+ x x) (+ x x)) (* eps eps)) (- (+ x x) eps)) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (- (+ x x) eps) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x eps))))))

Calls

6 calls:

Time	Variable	Point
20.0ms	eps	inf
9.0ms	x	-inf
8.0ms	eps	-inf
8.0ms	x	inf
8.0ms	eps	0

rewrite163.0ms (2.5%)

Memory

5.3MiB live, 144.9MiB allocated; 50ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	622
0	126	547
1	598	533
2	2690	533
0	4014	477

Stop Event

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

Counts

58 → 804

Calls

Call 1

Inputs
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) #s(approx (cos ( (+ (* 2 x) eps) -1/2)) (fma.f64 (.f64 (neg.f64 (sin.f64 x)) eps) #s(literal 1/2 binary64) (fma.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (.f64 (*.f64 #s(literal -1/48 binary64) eps) (sin.f64 x))) (cos.f64 x)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))
#s(literal 1/2 binary64)
(-.f64 eps #s(literal 0 binary64))
eps
#s(literal 0 binary64)
#s(literal 2 binary64)
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (fma.f64 (.f64 (neg.f64 (sin.f64 x)) eps) #s(literal 1/2 binary64) (fma.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (.f64 (*.f64 #s(literal -1/48 binary64) eps) (sin.f64 x))) (cos.f64 x))))
(fma.f64 (.f64 (neg.f64 (sin.f64 x)) eps) #s(literal 1/2 binary64) (fma.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (.f64 (*.f64 #s(literal -1/48 binary64) eps) (sin.f64 x))) (cos.f64 x)))
(*.f64 (neg.f64 (sin.f64 x)) eps)
(neg.f64 (sin.f64 x))
(sin.f64 x)
x
(fma.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (.f64 (.f64 #s(literal -1/48 binary64) eps) (sin.f64 x))) (cos.f64 x))
(*.f64 eps eps)
(-.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (.f64 (*.f64 #s(literal -1/48 binary64) eps) (sin.f64 x)))
(*.f64 #s(literal -1/8 binary64) (cos.f64 x))
#s(literal -1/8 binary64)
(cos.f64 x)
(.f64 (.f64 #s(literal -1/48 binary64) eps) (sin.f64 x))
(*.f64 #s(literal -1/48 binary64) eps)
#s(literal -1/48 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (fma.f64 (.f64 (.f64 eps eps) eps) #s(literal -1/6 binary64) eps)))
#s(approx (sin eps) (fma.f64 (.f64 (.f64 eps eps) eps) #s(literal -1/6 binary64) eps))
(fma.f64 (.f64 (.f64 eps eps) eps) #s(literal -1/6 binary64) eps)
(.f64 (.f64 eps eps) eps)
#s(literal -1/6 binary64)
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) #s(approx (* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 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 (* -1 x)) (* 1/2 (* eps (sin (* -1 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)))))))
(+.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))))))
(.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)))))
(fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(literal -1/2 binary64)
(*.f64 eps x)
(*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))
(pow.f64 eps #s(literal 2 binary64))
(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (.f64 (/.f64 (-.f64 (.f64 (+.f64 x x) (+.f64 x x)) (.f64 eps eps)) (-.f64 (+.f64 x x) eps)) #s(literal -1/2 binary64))))
(.f64 #s(approx (sin ( 1/2 (- eps 0))) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))
#s(approx (sin (* 1/2 (- eps 0))) (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
(cos.f64 (.f64 (/.f64 (-.f64 (.f64 (+.f64 x x) (+.f64 x x)) (*.f64 eps eps)) (-.f64 (+.f64 x x) eps)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (-.f64 (.f64 (+.f64 x x) (+.f64 x x)) (*.f64 eps eps)) (-.f64 (+.f64 x x) eps)) #s(literal -1/2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 x x) (+.f64 x x)) (.f64 eps eps)) (-.f64 (+.f64 x x) eps))
(-.f64 (.f64 (+.f64 x x) (+.f64 x x)) (.f64 eps eps))
(*.f64 (+.f64 x x) (+.f64 x x))
(+.f64 x x)
(-.f64 (+.f64 x x) eps)
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) #s(approx (* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x)))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (/.f64 (cos.f64 (*.f64 #s(literal -1 binary64) x)) eps)))))
#s(approx (* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x)))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (/.f64 (cos.f64 (*.f64 #s(literal -1 binary64) x)) eps))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (/.f64 (cos.f64 (*.f64 #s(literal -1 binary64) x)) eps)))
(fma.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (/.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) eps))
(sin.f64 (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(/.f64 (cos.f64 (*.f64 #s(literal -1 binary64) x)) eps)
(cos.f64 (*.f64 #s(literal -1 binary64) x))

Outputs
(.f64 (.f64 #s(approx (cos (* (+ (* 2 x) eps) -1/2)) (-.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/8 binary64) (.f64 #s(literal 1/48 binary64) (.f64 (sin.f64 x) eps))) (.f64 eps eps) (cos.f64 x)) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/2 binary64)))) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 #s(approx (cos (* (+ (* 2 x) eps) -1/2)) (-.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/8 binary64) (.f64 #s(literal 1/48 binary64) (.f64 (sin.f64 x) eps))) (.f64 eps eps) (cos.f64 x)) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (sin.f64 (.f64 eps #s(literal 1/2 binary64))))
(.f64 #s(approx (cos ( (+ (* 2 x) eps) -1/2)) (-.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/8 binary64) (.f64 #s(literal 1/48 binary64) (.f64 (sin.f64 x) eps))) (.f64 eps eps) (cos.f64 x)) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/2 binary64)))) (.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(approx (cos ( (+ (* 2 x) eps) -1/2)) (-.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/8 binary64) (.f64 #s(literal 1/48 binary64) (.f64 (sin.f64 x) eps))) (.f64 eps eps) (cos.f64 x)) (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(approx (cos ( (+ (* 2 x) eps) -1/2)) (-.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/8 binary64) (.f64 #s(literal 1/48 binary64) (.f64 (sin.f64 x) eps))) (.f64 eps eps) (cos.f64 x)) (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/2 binary64))))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 #s(approx (cos ( (+ (* 2 x) eps) -1/2)) (-.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/8 binary64) (.f64 #s(literal 1/48 binary64) (.f64 (sin.f64 x) eps))) (.f64 eps eps) (cos.f64 x)) (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (fma.f64 eps #s(literal 1/2 binary64) (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (.f64 eps #s(literal 1/2 binary64)) (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (sin.f64 (.f64 eps #s(literal 1/2 binary64))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 #s(literal 1 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(fma.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 1 binary64) (.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 #s(literal 1 binary64) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))
(+.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (.f64 eps #s(literal 1/2 binary64))))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(fma.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (cos.f64 #s(literal 0 binary64)) (.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 #s(literal 0 binary64))))
(+.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (cos.f64 #s(literal 0 binary64))) (.f64 (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 #s(literal 0 binary64))))
(*.f64 eps #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) eps)
(neg.f64 (*.f64 (neg.f64 eps) #s(literal 1/2 binary64)))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 eps)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) eps))
(fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))
(+.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 0 binary64))
#s(literal 1/2 binary64)
eps
eps
#s(literal 0 binary64)
#s(literal 2 binary64)
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (-.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/8 binary64) (.f64 #s(literal 1/48 binary64) (.f64 (sin.f64 x) eps))) (.f64 eps eps) (cos.f64 x)) (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/2 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (fma.f64 (neg.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64))) eps (.f64 (fma.f64 (cos.f64 x) #s(literal -1/8 binary64) (.f64 #s(literal 1/48 binary64) (.f64 (sin.f64 x) eps))) (.f64 eps eps))))) (fma.f64 (neg.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64))) eps (.f64 (fma.f64 (cos.f64 x) #s(literal -1/8 binary64) (.f64 #s(literal 1/48 binary64) (.f64 (sin.f64 x) eps))) (*.f64 eps eps))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64))) eps) (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/8 binary64) (.f64 #s(literal 1/48 binary64) (.f64 (sin.f64 x) eps))) (.f64 eps eps) (cos.f64 x)))) (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/8 binary64) (.f64 #s(literal 1/48 binary64) (.f64 (sin.f64 x) eps))) (*.f64 eps eps) (cos.f64 x)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/8 binary64) (.f64 #s(literal 1/48 binary64) (.f64 (sin.f64 x) eps))) (.f64 eps eps) (cos.f64 x))) (.f64 (neg.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64))) eps))) (.f64 (neg.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64))) eps))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/8 binary64) (.f64 #s(literal 1/48 binary64) (.f64 (sin.f64 x) eps))) (.f64 eps eps) (cos.f64 x)) (.f64 (neg.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64))) eps))) (.f64 (neg.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64))) eps))
(/.f64 (-.f64 (.f64 (fma.f64 (neg.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64))) eps (.f64 (fma.f64 (cos.f64 x) #s(literal -1/8 binary64) (.f64 #s(literal 1/48 binary64) (.f64 (sin.f64 x) eps))) (.f64 eps eps))) (fma.f64 (neg.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64))) eps (.f64 (fma.f64 (cos.f64 x) #s(literal -1/8 binary64) (.f64 #s(literal 1/48 binary64) (.f64 (sin.f64 x) eps))) (.f64 eps eps)))) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (fma.f64 (neg.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64))) eps (.f64 (fma.f64 (cos.f64 x) #s(literal -1/8 binary64) (.f64 #s(literal 1/48 binary64) (.f64 (sin.f64 x) eps))) (*.f64 eps eps))) (cos.f64 x)))
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(cos.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
(cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))
(+.f64 (.f64 (sin.f64 (PI.f64)) (cos.f64 x)) (.f64 (cos.f64 (PI.f64)) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 x) (cos.f64 (neg.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))))) (.f64 (sin.f64 x) (sin.f64 (neg.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))))))
(+.f64 (.f64 (sin.f64 x) (cos.f64 (PI.f64))) (.f64 (cos.f64 x) (sin.f64 (PI.f64))))
(+.f64 (.f64 (cos.f64 x) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (.f64 (neg.f64 (sin.f64 x)) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
#s(literal -1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) eps) (cos.f64 x))
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 eps)))
(*.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) eps))
(/.f64 (*.f64 (cos.f64 x) #s(literal 1 binary64)) eps)
(/.f64 (neg.f64 (neg.f64 (cos.f64 x))) eps)
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 eps) (neg.f64 (cos.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 eps (cos.f64 x)))
(/.f64 (neg.f64 (cos.f64 x)) (neg.f64 eps))
(/.f64 (cos.f64 x) eps)
(neg.f64 (/.f64 (cos.f64 x) (neg.f64 eps)))
(sin.f64 (+.f64 (fabs.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 x)))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))
(fma.f64 (sin.f64 (fabs.f64 x)) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (cos.f64 x) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(fma.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 x) (.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (sin.f64 x))))
(fma.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 x) (.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 x)))
(fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (cos.f64 x) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(fma.f64 (sin.f64 x) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (cos.f64 x) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(-.f64 (.f64 (neg.f64 (sin.f64 x)) (cos.f64 (neg.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))))) (.f64 (cos.f64 x) (sin.f64 (neg.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))))))
(-.f64 (.f64 (sin.f64 x) (cos.f64 (neg.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))))) (.f64 (cos.f64 x) (sin.f64 (neg.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))))))
(cos.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(cos.f64 (neg.f64 (fabs.f64 x)))
(cos.f64 (fabs.f64 (fabs.f64 x)))
(cos.f64 (fabs.f64 x))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (.f64 (sin.f64 (fabs.f64 x)) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (.f64 (cos.f64 x) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
(+.f64 (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 x)) (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 x)) (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 x)))
(+.f64 (.f64 (neg.f64 (sin.f64 x)) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (.f64 (cos.f64 x) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
(+.f64 (.f64 (sin.f64 x) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (.f64 (cos.f64 x) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))

eval132.0ms (2.0%)

Memory: -21.3MiB live, 163.2MiB allocated; 25ms collecting garbage
Compiler: Compiled 41 465 to 5 158 computations (87.6% saved)

prune30.0ms (0.5%)

Memory

-0.5MiB live, 46.2MiB allocated; 2ms collecting garbage

Pruning

28 alts after pruning (24 fresh and 4 done)

	Pruned	Kept	Total
New	926	9	935
Fresh	2	15	17
Picked	4	1	5
Done	0	3	3
Total	932	28	960

Accuracy

100.0%

Counts

960 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (-.f64 (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))) (.f64 (sin.f64 x) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))))
✓	99.6%	(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
✓	61.9%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	61.9%	(.f64 (.f64 (sin.f64 (.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
	99.8%	(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))))
	99.8%	(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) #s(approx (cos ( (+ (* 2 x) eps) -1/2)) (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) eps) eps (-.f64 (cos.f64 x) (.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64)) eps)))))
	99.6%	(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) #s(approx (cos ( (+ (* 2 x) eps) -1/2)) #s(approx (+ (* (* (neg (sin x)) eps) 1/2) (+ (* (* eps eps) (- (* -1/8 (cos x)) (* (* -1/48 eps) (sin x)))) (cos x))) (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))))))
	99.6%	(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (sin.f64 (/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) eps) (PI.f64)) #s(literal 2 binary64))))
	99.5%	(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (/.f64 (.f64 (-.f64 (.f64 eps eps) (.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal -1/2 binary64)) (fma.f64 #s(literal -2 binary64) x eps))))
✓	99.5%	(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
	99.6%	(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) #s(approx (cos ( (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x))))))))
	99.7%	(.f64 #s(approx ( (sin (* 1/2 (- eps 0))) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
	99.8%	(.f64 #s(approx ( (sin (* 1/2 (- eps 0))) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) #s(approx (cos (* (+ (* 2 x) eps) -1/2)) (fma.f64 (.f64 (neg.f64 (sin.f64 x)) eps) #s(literal 1/2 binary64) (fma.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (.f64 (*.f64 #s(literal -1/48 binary64) eps) (sin.f64 x))) (cos.f64 x)))))
	99.8%	(.f64 #s(approx ( (sin (* 1/2 (- eps 0))) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) #s(approx (cos (* (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x))))))))
	3.2%	#s(approx (- (sin (+ (+ (+ eps x) (PI)) (PI))) (sin x)) (sin.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) (PI.f64)))))
✓	97.5%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (fma.f64 (.f64 (.f64 eps eps) eps) #s(literal -1/6 binary64) eps)))
	99.6%	#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 (-.f64 (cos.f64 x) (.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) eps)) eps))
	98.9%	#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) #s(approx (* 1/2 (* eps (sin (* -1 x)))) (.f64 #s(literal -1/2 binary64) (.f64 eps x))))))
	99.1%	#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps (cos.f64 (.f64 #s(literal -1 binary64) x))))
	98.1%	#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps #s(approx (+ (cos ( -1 x)) (* 1/2 (* eps (sin (* -1 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)))))))))
	97.6%	#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps #s(approx (+ (cos ( -1 x)) (* 1/2 (* eps (sin (* -1 x))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x))))))
	98.1%	#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) #s(approx (* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x)))))) (fma.f64 (.f64 (.f64 eps (+.f64 x eps)) #s(literal -1/2 binary64)) x eps)))
	98.0%	#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) #s(approx (* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x)))))) (+.f64 eps (.f64 x #s(approx (+ ( -1/2 (* eps x)) (* -1/2 (pow eps 2))) (.f64 #s(literal -1/2 binary64) (.f64 eps x)))))))
	97.6%	#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) #s(approx (* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x)))))) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
	50.5%	#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) #s(approx (* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x)))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) #s(approx (+ ( 1/2 (sin (* -1 x))) (/ (cos (* -1 x)) eps)) (fma.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) eps))))))
	50.0%	#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) #s(approx (* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x)))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) #s(approx (+ ( 1/2 (sin (* -1 x))) (/ (cos (* -1 x)) eps)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) eps))))))
	52.0%	#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) #s(approx (* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x)))))) (.f64 (-.f64 (/.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) #s(literal 1/2 binary64))) (*.f64 eps eps))))
	97.5%	#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) #s(approx (* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x)))))) eps))

Compiler

Compiled 980 to 700 computations (28.6% saved)

regimes248.0ms (3.8%)

Memory

96.2MiB live, 325.9MiB allocated; 41ms collecting garbage

Accuracy

Total -0.0b remaining (-0.0%)

Threshold costs -0b (-0.0%)

Counts

1 → 1

2 → 1

4 → 1

14 → 1

16 → 1

17 → 1

22 → 1

31 → 1

46 → 1

47 → 1

52 → 1

Calls

Call 1

Inputs
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) #s(approx (* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x)))))) eps))

Outputs
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) #s(approx (* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x)))))) eps))

Call 2

Inputs

#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) #s(approx (* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x)))))) eps))

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

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

Call 3

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

Outputs

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

Call 4

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

Outputs

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

Call 5

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

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

Call 6

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

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

Call 7

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

Outputs

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

Call 8

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

Outputs

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

Call 9

Inputs
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) #s(approx (* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x)))))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (fma.f64 (.f64 (.f64 eps eps) eps) #s(literal -1/6 binary64) eps)))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) #s(approx (* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x)))))) (+.f64 eps (.f64 x #s(approx (+ ( -1/2 (* eps x)) (* -1/2 (pow eps 2))) (.f64 #s(literal -1/2 binary64) (.f64 eps x)))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps #s(approx (+ (cos ( -1 x)) (* 1/2 (* eps (sin (* -1 x))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) #s(approx (* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x)))))) (fma.f64 (.f64 (.f64 eps (+.f64 x eps)) #s(literal -1/2 binary64)) x eps)))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps #s(approx (+ (cos ( -1 x)) (* 1/2 (* eps (sin (* -1 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 (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) #s(approx (* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x)))))) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps #s(approx (+ (cos ( -1 x)) (* 1/2 (* eps (sin (* -1 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 (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) #s(approx (* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x)))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) #s(approx (+ ( 1/2 (sin (* -1 x))) (/ (cos (* -1 x)) eps)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) eps))))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) #s(approx (* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 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 (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) #s(approx (* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x)))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) #s(approx (+ ( 1/2 (sin (* -1 x))) (/ (cos (* -1 x)) eps)) (fma.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) eps))))))
#s(approx (- (sin (+ (+ (+ eps x) (PI)) (PI))) (sin x)) (sin.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) (PI.f64)))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps (cos.f64 (.f64 #s(literal -1 binary64) x))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) #s(approx (* 1/2 (* eps (sin (* -1 x)))) (.f64 #s(literal -1/2 binary64) (.f64 eps x))))))
(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (sin.f64 (/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) eps) (PI.f64)) #s(literal 2 binary64))))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (/.f64 (.f64 (-.f64 (.f64 eps eps) (.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal -1/2 binary64)) (fma.f64 #s(literal -2 binary64) x eps))))
(-.f64 (sin.f64 #s(approx (+ x eps) eps)) (sin.f64 x))
(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (.f64 (/.f64 (-.f64 (.f64 (+.f64 x x) (+.f64 x x)) (.f64 eps eps)) (-.f64 (+.f64 x x) eps)) #s(literal -1/2 binary64))))
(.f64 #s(approx ( (sin (* 1/2 (- eps 0))) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 x) (PI.f64)) eps)) (sin.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 (PI.f64) x) (PI.f64))))
(-.f64 (sin.f64 (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (PI.f64))) (sin.f64 x))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 (-.f64 (cos.f64 x) (.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) eps)) eps))
(-.f64 (sin.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x eps)) eps)) (sin.f64 x))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) #s(approx (* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x)))))) (.f64 (-.f64 (/.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) #s(literal 1/2 binary64))) (*.f64 eps eps))))
(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 (*.f64 #s(literal -1 binary64) x)))))))
(.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 (.f64 (sin.f64 (.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (neg.f64 x) (-.f64 (neg.f64 eps) x)) #s(literal 2 binary64))) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64)))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) #s(approx (* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x)))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (/.f64 (cos.f64 (*.f64 #s(literal -1 binary64) x)) eps)))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) #s(approx (cos ( (+ (* 2 x) eps) -1/2)) #s(approx (+ (* (* (neg (sin x)) eps) 1/2) (+ (* (* eps eps) (- (* -1/8 (cos x)) (* (* -1/48 eps) (sin x)))) (cos x))) (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) #s(approx (cos ( (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x)))))))
(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) #s(approx (cos ( (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x))))))))
(.f64 #s(approx ( (sin (* 1/2 (- eps 0))) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) #s(approx (cos (* (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x))))))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) #s(approx (cos ( (+ (* 2 x) eps) -1/2)) (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) eps) eps (-.f64 (cos.f64 x) (.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64)) eps)))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) #s(approx (cos ( (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x))))))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(fma.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)) (fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x))))

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

Call 10

Inputs
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) #s(approx (* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x)))))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (fma.f64 (.f64 (.f64 eps eps) eps) #s(literal -1/6 binary64) eps)))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) #s(approx (* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x)))))) (+.f64 eps (.f64 x #s(approx (+ ( -1/2 (* eps x)) (* -1/2 (pow eps 2))) (.f64 #s(literal -1/2 binary64) (.f64 eps x)))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps #s(approx (+ (cos ( -1 x)) (* 1/2 (* eps (sin (* -1 x))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) #s(approx (* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x)))))) (fma.f64 (.f64 (.f64 eps (+.f64 x eps)) #s(literal -1/2 binary64)) x eps)))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps #s(approx (+ (cos ( -1 x)) (* 1/2 (* eps (sin (* -1 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 (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) #s(approx (* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x)))))) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps #s(approx (+ (cos ( -1 x)) (* 1/2 (* eps (sin (* -1 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 (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) #s(approx (* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x)))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) #s(approx (+ ( 1/2 (sin (* -1 x))) (/ (cos (* -1 x)) eps)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) eps))))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) #s(approx (* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 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 (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) #s(approx (* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x)))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) #s(approx (+ ( 1/2 (sin (* -1 x))) (/ (cos (* -1 x)) eps)) (fma.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) eps))))))
#s(approx (- (sin (+ (+ (+ eps x) (PI)) (PI))) (sin x)) (sin.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) (PI.f64)))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps (cos.f64 (.f64 #s(literal -1 binary64) x))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) #s(approx (* 1/2 (* eps (sin (* -1 x)))) (.f64 #s(literal -1/2 binary64) (.f64 eps x))))))
(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (sin.f64 (/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) eps) (PI.f64)) #s(literal 2 binary64))))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (/.f64 (.f64 (-.f64 (.f64 eps eps) (.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal -1/2 binary64)) (fma.f64 #s(literal -2 binary64) x eps))))
(-.f64 (sin.f64 #s(approx (+ x eps) eps)) (sin.f64 x))
(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (.f64 (/.f64 (-.f64 (.f64 (+.f64 x x) (+.f64 x x)) (.f64 eps eps)) (-.f64 (+.f64 x x) eps)) #s(literal -1/2 binary64))))
(.f64 #s(approx ( (sin (* 1/2 (- eps 0))) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 x) (PI.f64)) eps)) (sin.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 (PI.f64) x) (PI.f64))))
(-.f64 (sin.f64 (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (PI.f64))) (sin.f64 x))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 (-.f64 (cos.f64 x) (.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) eps)) eps))
(-.f64 (sin.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x eps)) eps)) (sin.f64 x))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) #s(approx (* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x)))))) (.f64 (-.f64 (/.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) #s(literal 1/2 binary64))) (*.f64 eps eps))))
(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 (*.f64 #s(literal -1 binary64) x)))))))
(.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 (.f64 (sin.f64 (.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (neg.f64 x) (-.f64 (neg.f64 eps) x)) #s(literal 2 binary64))) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64)))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) #s(approx (* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x)))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (/.f64 (cos.f64 (*.f64 #s(literal -1 binary64) x)) eps)))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) #s(approx (cos ( (+ (* 2 x) eps) -1/2)) #s(approx (+ (* (* (neg (sin x)) eps) 1/2) (+ (* (* eps eps) (- (* -1/8 (cos x)) (* (* -1/48 eps) (sin x)))) (cos x))) (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) #s(approx (cos ( (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x)))))))
(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) #s(approx (cos ( (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x))))))))
(.f64 #s(approx ( (sin (* 1/2 (- eps 0))) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) #s(approx (cos (* (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x))))))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) #s(approx (cos ( (+ (* 2 x) eps) -1/2)) (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) eps) eps (-.f64 (cos.f64 x) (.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64)) eps)))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) #s(approx (cos ( (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x))))))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(fma.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)) (fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x))))
(.f64 #s(approx ( (sin (* 1/2 (- eps 0))) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) #s(approx (cos (* (+ (* 2 x) eps) -1/2)) (fma.f64 (.f64 (neg.f64 (sin.f64 x)) eps) #s(literal 1/2 binary64) (fma.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (.f64 (*.f64 #s(literal -1/48 binary64) eps) (sin.f64 x))) (cos.f64 x)))))

Outputs

(*.f64 #s(approx (* (sin (* 1/2 (- eps 0))) 2) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) #s(approx (cos (* (+ (* 2 x) eps) -1/2)) (fma.f64 (*.f64 (neg.f64 (sin.f64 x)) eps) #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 (*.f64 #s(literal -1/48 binary64) eps) (sin.f64 x))) (cos.f64 x)))))

Call 11

Inputs
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) #s(approx (* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x)))))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (fma.f64 (.f64 (.f64 eps eps) eps) #s(literal -1/6 binary64) eps)))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) #s(approx (* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x)))))) (+.f64 eps (.f64 x #s(approx (+ ( -1/2 (* eps x)) (* -1/2 (pow eps 2))) (.f64 #s(literal -1/2 binary64) (.f64 eps x)))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps #s(approx (+ (cos ( -1 x)) (* 1/2 (* eps (sin (* -1 x))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) #s(approx (* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x)))))) (fma.f64 (.f64 (.f64 eps (+.f64 x eps)) #s(literal -1/2 binary64)) x eps)))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps #s(approx (+ (cos ( -1 x)) (* 1/2 (* eps (sin (* -1 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 (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) #s(approx (* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x)))))) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps #s(approx (+ (cos ( -1 x)) (* 1/2 (* eps (sin (* -1 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 (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) #s(approx (* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x)))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) #s(approx (+ ( 1/2 (sin (* -1 x))) (/ (cos (* -1 x)) eps)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) eps))))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) #s(approx (* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 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 (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) #s(approx (* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x)))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) #s(approx (+ ( 1/2 (sin (* -1 x))) (/ (cos (* -1 x)) eps)) (fma.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) eps))))))
#s(approx (- (sin (+ (+ (+ eps x) (PI)) (PI))) (sin x)) (sin.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) (PI.f64)))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps (cos.f64 (.f64 #s(literal -1 binary64) x))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) #s(approx (* 1/2 (* eps (sin (* -1 x)))) (.f64 #s(literal -1/2 binary64) (.f64 eps x))))))
(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (sin.f64 (/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) eps) (PI.f64)) #s(literal 2 binary64))))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (/.f64 (.f64 (-.f64 (.f64 eps eps) (.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal -1/2 binary64)) (fma.f64 #s(literal -2 binary64) x eps))))
(-.f64 (sin.f64 #s(approx (+ x eps) eps)) (sin.f64 x))
(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (.f64 (/.f64 (-.f64 (.f64 (+.f64 x x) (+.f64 x x)) (.f64 eps eps)) (-.f64 (+.f64 x x) eps)) #s(literal -1/2 binary64))))
(.f64 #s(approx ( (sin (* 1/2 (- eps 0))) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 x) (PI.f64)) eps)) (sin.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 (PI.f64) x) (PI.f64))))
(-.f64 (sin.f64 (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (PI.f64))) (sin.f64 x))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 (-.f64 (cos.f64 x) (.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) eps)) eps))
(-.f64 (sin.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x eps)) eps)) (sin.f64 x))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) #s(approx (* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x)))))) (.f64 (-.f64 (/.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) #s(literal 1/2 binary64))) (*.f64 eps eps))))
(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 (*.f64 #s(literal -1 binary64) x)))))))
(.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 (.f64 (sin.f64 (.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (neg.f64 x) (-.f64 (neg.f64 eps) x)) #s(literal 2 binary64))) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64)))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) #s(approx (* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x)))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (/.f64 (cos.f64 (*.f64 #s(literal -1 binary64) x)) eps)))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) #s(approx (cos ( (+ (* 2 x) eps) -1/2)) #s(approx (+ (* (* (neg (sin x)) eps) 1/2) (+ (* (* eps eps) (- (* -1/8 (cos x)) (* (* -1/48 eps) (sin x)))) (cos x))) (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) #s(approx (cos ( (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x)))))))
(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) #s(approx (cos ( (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x))))))))
(.f64 #s(approx ( (sin (* 1/2 (- eps 0))) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) #s(approx (cos (* (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x))))))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) #s(approx (cos ( (+ (* 2 x) eps) -1/2)) (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) eps) eps (-.f64 (cos.f64 x) (.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64)) eps)))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) #s(approx (cos ( (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x))))))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(fma.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)) (fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x))))
(.f64 #s(approx ( (sin (* 1/2 (- eps 0))) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) #s(approx (cos (* (+ (* 2 x) eps) -1/2)) (fma.f64 (.f64 (neg.f64 (sin.f64 x)) eps) #s(literal 1/2 binary64) (fma.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (.f64 (*.f64 #s(literal -1/48 binary64) eps) (sin.f64 x))) (cos.f64 x)))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) #s(approx (cos ( (+ (* 2 x) eps) -1/2)) (fma.f64 (.f64 (neg.f64 (sin.f64 x)) eps) #s(literal 1/2 binary64) (fma.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 x)) (.f64 (*.f64 #s(literal -1/48 binary64) eps) (sin.f64 x))) (cos.f64 x)))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) #s(approx (cos ( (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1/48 binary64) (.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x)))))))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal -1/24 binary64) (.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/16 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1/48 binary64) (cos.f64 (*.f64 #s(literal -1 binary64) x))))))))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal -1 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (-.f64 (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))) (.f64 (sin.f64 x) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))))

Outputs

(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) #s(approx (cos (* (+ (* 2 x) eps) -1/2)) (fma.f64 (*.f64 (neg.f64 (sin.f64 x)) eps) #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 (*.f64 #s(literal -1/48 binary64) eps) (sin.f64 x))) (cos.f64 x)))))

Calls

33 calls:

19.0ms	x
19.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
15.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
14.0ms	x
13.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Accuracy	Segments	Branch
97.5%	1	`eps`
97.5%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
97.5%	1	`x`
97.5%	1	`eps`
97.5%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
97.5%	1	`x`
98.0%	1	`eps`
98.0%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
98.0%	1	`x`
98.1%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
98.1%	1	`x`
98.1%	1	`eps`
99.1%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.1%	1	`x`
99.1%	1	`eps`
99.5%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.5%	1	`x`
99.5%	1	`eps`
99.6%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.6%	1	`x`
99.6%	1	`eps`
99.7%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.7%	1	`x`
99.7%	1	`eps`
99.8%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.8%	1	`x`
99.8%	1	`eps`
99.8%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.8%	1	`x`
99.8%	1	`eps`
99.8%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.8%	1	`x`
99.8%	1	`eps`

Compiler

Compiled 1 730 to 451 computations (73.9% saved)

derivations167.0ms (2.6%)

Memory

-88.8MiB live, 66.1MiB allocated; 123ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 353 to 109 computations (69.1% saved)

preprocess92.0ms (1.4%)

Memory: 9.6MiB live, 155.1MiB allocated; 22ms collecting garbage
Compiler: Compiled 401 to 148 computations (63.1% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze29.0ms (0.4%)

sample4.6s (71.0%)

preprocess40.0ms (0.6%)

sample0.0ms (0.0%)

series13.0ms (0.2%)

rewrite122.0ms (1.9%)

eval22.0ms (0.3%)

prune14.0ms (0.2%)

sample0.0ms (0.0%)

series60.0ms (0.9%)

rewrite126.0ms (1.9%)

eval78.0ms (1.2%)

prune38.0ms (0.6%)

sample0.0ms (0.0%)

series74.0ms (1.1%)

rewrite149.0ms (2.3%)

eval155.0ms (2.4%)

prune34.0ms (0.5%)

sample0.0ms (0.0%)

series98.0ms (1.5%)

rewrite163.0ms (2.5%)

eval132.0ms (2.0%)

prune30.0ms (0.5%)

regimes248.0ms (3.8%)

derivations167.0ms (2.6%)

preprocess92.0ms (1.4%)

end0.0ms (0.0%)

Profiling