Metrics for 2cos (problem 3.3.5)

start0.0ms (0%)

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

analyze29.0ms (0.2%)

Memory

41.7MiB live, 41.7MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample6.7s (53.5%)

Memory

221.8MiB live, 5 329.7MiB allocated; 2.6s collecting garbage

Samples

2.5s	25 896×	0	invalid
2.4s	5 765×	2	valid
459.0ms	2 450×	1	valid
5.0ms	41×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.9s

ival-cos: 2.6s (66.5% of total)

adjust: 394.0ms (10% of total)

ival-fabs: 264.0ms (6.7% of total)

ival-<: 174.0ms (4.4% of total)

ival-mult!: 151.0ms (3.8% of total)

ival-sub!: 130.0ms (3.3% of total)

ival-add!: 128.0ms (3.2% of total)

ival-and: 66.0ms (1.7% of total)

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

Bogosity

preprocess39.0ms (0.3%)

Memory

3.5MiB live, 47.8MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.5%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 12 to 12 computations (0% saved)

series110.0ms (0.9%)

Memory

5.1MiB live, 106.5MiB allocated; 21ms collecting garbage

Counts

6 → 33

Calls

Call 1

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

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (.f64 #s(literal -1 binary64) (.f64 x (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))) (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (.f64 #s(literal 1/6 binary64) (.f64 x (sin.f64 eps)))))) (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (cos (+ x eps)) (cos.f64 eps))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 eps) (.f64 #s(literal -1 binary64) (.f64 x (sin.f64 eps)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 eps))) (sin.f64 eps)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (.f64 #s(literal 1/6 binary64) (.f64 x (sin.f64 eps))))) (sin.f64 eps)))))
#s(approx (+ x eps) eps)
#s(approx (+ x eps) (+.f64 eps x))
#s(approx x x)
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (cos (+ x eps)) (cos.f64 (+.f64 eps x)))
#s(approx (+ x eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (cos x) (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 x)))
#s(approx (cos (+ x eps)) (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))))
#s(approx (+ x eps) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x))))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 x) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 x) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x))))) (sin.f64 x)))))
#s(approx (+ x eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x)))
#s(approx (cos (+ x eps)) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))))
#s(approx (+ x eps) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	inf	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) x eps (cos x))
1.0ms	x	@	0	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) x eps (cos x))
1.0ms	x	@	-inf	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) x eps (cos x))
1.0ms	eps	@	-inf	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) x eps (cos x))
1.0ms	eps	@	0	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) x eps (cos x))

rewrite820.0ms (6.5%)

Memory

-17.2MiB live, 397.4MiB allocated; 60ms collecting garbage

Counts

6 → 219

Calls

Call 1

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

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

eval46.0ms (0.4%)

Memory: 31.2MiB live, 31.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 054 to 1 065 computations (65.1% saved)

prune16.0ms (0.1%)

Memory

-33.3MiB live, 13.3MiB allocated; 4ms collecting garbage

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	233	13	246
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	233	14	247

Accuracy

99.8%

Counts

247 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.6%	(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
	53.6%	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
▶	53.6%	(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
	53.5%	(-.f64 (sin.f64 (-.f64 (neg.f64 eps) (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 x))
	53.5%	(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
▶	53.4%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (PI.f64))))
✓	53.5%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
▶	51.9%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
	51.6%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
	91.9%	(.f64 (.f64 (sin.f64 (/.f64 (-.f64 (-.f64 (neg.f64 x) eps) (fabs.f64 x)) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (-.f64 (fabs.f64 x) x) eps) #s(literal 2 binary64)))) #s(literal -2 binary64))
▶	99.7%	(.f64 (.f64 (sin.f64 (/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64)) (sin.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 2 binary64))))
▶	51.5%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
	98.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
	78.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x))))

Compiler

Compiled 304 to 294 computations (3.3% saved)

series421.0ms (3.3%)

Memory

26.5MiB live, 173.1MiB allocated; 50ms collecting garbage

Counts

37 → 132

Calls

Call 1

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

Outputs
#s(approx (* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) (.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
#s(approx (* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) (fma.f64 #s(literal -2 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))
#s(approx (* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))
#s(approx (* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))))))
#s(approx (sin (/ (+ (* x 2) eps) 2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (sin (/ (+ (* x 2) eps) 2)) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (sin (/ (+ (* x 2) eps) 2)) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal -1/2 binary64) (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))))
#s(approx (sin (/ (+ (* x 2) eps) 2)) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal -1/6 binary64) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) eps))))))))))
#s(approx (/ (+ (* x 2) eps) 2) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (/ (+ (* x 2) eps) 2) (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (+ (* x 2) eps) eps)
#s(approx (+ (* x 2) eps) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
#s(approx x x)
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (.f64 #s(literal -1 binary64) (.f64 x (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))) (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (.f64 #s(literal 1/6 binary64) (.f64 x (sin.f64 eps)))))) (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (cos (+ x eps)) (cos.f64 eps))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 eps) (.f64 #s(literal -1 binary64) (.f64 x (sin.f64 eps)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 eps))) (sin.f64 eps)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (.f64 #s(literal 1/6 binary64) (.f64 x (sin.f64 eps))))) (sin.f64 eps)))))
#s(approx (+ x eps) (+.f64 eps x))
#s(approx (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 (* -1/2 (pow x 2)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (- (cos (+ x eps)) (cos (+ (+ (neg x) (PI)) (PI)))) (-.f64 (cos.f64 eps) (cos.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))
#s(approx (- (cos (+ x eps)) (cos (+ (+ (neg x) (PI)) (PI)))) (-.f64 (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (sin.f64 (.f64 #s(literal 2 binary64) (PI.f64)))) (sin.f64 eps)))) (cos.f64 (.f64 #s(literal 2 binary64) (PI.f64)))))
#s(approx (- (cos (+ x eps)) (cos (+ (+ (neg x) (PI)) (PI)))) (-.f64 (+.f64 (cos.f64 eps) (.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 eps)) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (PI.f64))))))) (sin.f64 eps)))) (cos.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))
#s(approx (- (cos (+ x eps)) (cos (+ (+ (neg x) (PI)) (PI)))) (-.f64 (+.f64 (cos.f64 eps) (.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (.f64 x (-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 #s(literal -1/6 binary64) (sin.f64 eps))))) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (PI.f64))))))) (sin.f64 eps)))) (cos.f64 (.f64 #s(literal 2 binary64) (PI.f64)))))
#s(approx (cos (+ (+ (neg x) (PI)) (PI))) (cos.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))
#s(approx (cos (+ (+ (neg x) (PI)) (PI))) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (.f64 x (sin.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))))
#s(approx (cos (+ (+ (neg x) (PI)) (PI))) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (cos.f64 (.f64 #s(literal 2 binary64) (PI.f64))))) (.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))))))
#s(approx (cos (+ (+ (neg x) (PI)) (PI))) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (.f64 #s(literal -1/6 binary64) (.f64 x (sin.f64 (.f64 #s(literal 2 binary64) (PI.f64))))))) (.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))))))
#s(approx (+ (+ (neg x) (PI)) (PI)) (*.f64 #s(literal 2 binary64) (PI.f64)))
#s(approx (+ (+ (neg x) (PI)) (PI)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 2 binary64) (PI.f64))))
#s(approx (+ (neg x) (PI)) (PI.f64))
#s(approx (+ (neg x) (PI)) (+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) x)))
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx (* (cos x) (cos eps)) (+.f64 (cos.f64 eps) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (cos.f64 eps)))))
#s(approx (* (cos x) (cos eps)) (+.f64 (cos.f64 eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cos.f64 eps)))))))
#s(approx (* (cos x) (cos eps)) (+.f64 (cos.f64 eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (cos.f64 eps)) (.f64 #s(literal 1/24 binary64) (cos.f64 eps))))))))
#s(approx (+ (* (sin x) (sin eps)) (cos x)) (+.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps))))
#s(approx (+ (* (sin x) (sin eps)) (cos x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (sin.f64 eps) (.f64 #s(literal -1/2 binary64) x)))))
#s(approx (+ (* (sin x) (sin eps)) (cos x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (sin.f64 eps) (.f64 x (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 x (sin.f64 eps))) #s(literal 1/2 binary64)))))))
#s(approx (sin 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 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))))
#s(approx (sin (/ (+ (* x 2) eps) 2)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))))
#s(approx (/ (+ (* x 2) eps) 2) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x)))))
#s(approx (+ (* x 2) eps) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (* x 2) eps) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (cos (+ x eps)) (cos.f64 (+.f64 eps x)))
#s(approx (+ x eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (cos x) (cos.f64 x))
#s(approx (+ 1 (* -1/2 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos (+ (+ (neg x) (PI)) (PI)))) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) x))))
#s(approx (cos (+ (+ (neg x) (PI)) (PI))) (cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) x)))
#s(approx (+ (+ (neg x) (PI)) (PI)) (.f64 x (-.f64 (.f64 #s(literal 2 binary64) (/.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 (- (* (cos x) (cos eps)) (+ (* (sin x) (sin eps)) (cos x))) (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x)))))
#s(approx (* (cos x) (cos eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
#s(approx (+ (* (sin x) (sin eps)) (cos x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))))
#s(approx (sin (/ (+ (* x 2) eps) 2)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))))
#s(approx (/ (+ (* x 2) eps) 2) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (+ (* x 2) eps) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 x)))
#s(approx (cos (+ x eps)) (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))))
#s(approx (+ x eps) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (- (cos (+ x eps)) (cos (+ (+ (neg x) (PI)) (PI)))) (-.f64 (cos.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x))) (cos.f64 (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal 2 binary64) (PI.f64))))))
#s(approx (cos (+ (+ (neg x) (PI)) (PI))) (cos.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 2 binary64) (PI.f64)))))
#s(approx (+ (+ (neg x) (PI)) (PI)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (PI.f64) 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 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x))))
#s(approx (* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) (.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))))))
#s(approx (* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) (.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -2 binary64) (.f64 eps (fma.f64 #s(literal -1/16 binary64) (sin.f64 x) (.f64 #s(literal -1/48 binary64) (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))))
#s(approx (* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) (.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal -2 binary64) (fma.f64 #s(literal -1/16 binary64) (sin.f64 x) (.f64 #s(literal -1/48 binary64) (sin.f64 x))) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))))))))))
#s(approx (* (sin (/ (- eps 0) 2)) -2) (*.f64 #s(literal -1 binary64) eps))
#s(approx (* (sin (/ (- eps 0) 2)) -2) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (* (sin (/ (- eps 0) 2)) -2) (.f64 eps (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/1920 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64))))
#s(approx (* (sin (/ (- eps 0) 2)) -2) (.f64 eps (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/322560 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/1920 binary64))))) #s(literal 1 binary64))))
#s(approx (sin (/ (- eps 0) 2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (sin (/ (- eps 0) 2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))))))
#s(approx (sin (/ (- eps 0) 2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3840 binary64) (.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/48 binary64))))))
#s(approx (sin (/ (+ (* x 2) eps) 2)) (+.f64 (sin.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x)))))
#s(approx (sin (/ (+ (* x 2) eps) 2)) (+.f64 (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (.f64 eps (sin.f64 x)) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))))
#s(approx (sin (/ (+ (* x 2) eps) 2)) (+.f64 (sin.f64 x) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (sin.f64 x) (.f64 #s(literal -1/48 binary64) (.f64 eps (cos.f64 x)))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x))))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x))))
#s(approx (- (cos eps) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (- (cos eps) 1) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (- (cos eps) 1) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
#s(approx (- (cos eps) 1) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/40320 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64))))
#s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (cos eps) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos eps) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 x) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 x) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x))))) (sin.f64 x)))))
#s(approx (- (cos (+ x eps)) (cos (+ (+ (neg x) (PI)) (PI)))) (-.f64 (cos.f64 x) (cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) x))))
#s(approx (- (cos (+ x eps)) (cos (+ (+ (neg x) (PI)) (PI)))) (-.f64 (+.f64 (cos.f64 x) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x)))) (cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) x))))
#s(approx (- (cos (+ x eps)) (cos (+ (+ (neg x) (PI)) (PI)))) (-.f64 (+.f64 (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))) (sin.f64 x)))) (cos.f64 (-.f64 (.f64 #s(literal 2 binary64) (PI.f64)) x))))
#s(approx (- (cos (+ x eps)) (cos (+ (+ (neg x) (PI)) (PI)))) (-.f64 (+.f64 (cos.f64 x) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x))))) (sin.f64 x)))) (cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) x))))
#s(approx (* (cos x) (cos eps)) (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))))
#s(approx (* (cos x) (cos eps)) (+.f64 (cos.f64 x) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))))))
#s(approx (* (cos x) (cos eps)) (+.f64 (cos.f64 x) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)) (.f64 #s(literal 1/24 binary64) (cos.f64 x))))))))
#s(approx (+ (* (sin x) (sin eps)) (cos x)) (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))
#s(approx (+ (* (sin x) (sin eps)) (cos x)) (+.f64 (cos.f64 x) (.f64 eps (+.f64 (sin.f64 x) (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))))))
#s(approx (+ (* (sin x) (sin eps)) (cos x)) (+.f64 (cos.f64 x) (.f64 eps (+.f64 (sin.f64 x) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/120 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))))))))
#s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (* (sin (/ (- eps 0) 2)) -2) (.f64 #s(literal -2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (/ (+ (* x 2) eps) 2) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))
#s(approx (+ (* x 2) eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps)))))
#s(approx (+ x eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (sin eps) (sin.f64 eps))
#s(approx (* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps)))))))
#s(approx (sin (/ (+ (* x 2) eps) 2)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))
#s(approx (/ (+ (* x 2) eps) 2) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))))
#s(approx (+ (* x 2) eps) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x)))
#s(approx (cos (+ x eps)) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))))
#s(approx (+ x eps) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (- (cos (+ x eps)) (cos (+ (+ (neg x) (PI)) (PI)))) (-.f64 (cos.f64 (-.f64 x (.f64 #s(literal -1 binary64) eps))) (cos.f64 (-.f64 (.f64 #s(literal 2 binary64) (PI.f64)) x))))

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	eps	@	inf	((* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) (* (sin (/ (- eps 0) 2)) -2) (sin (/ (- eps 0) 2)) (/ (- eps 0) 2) (- eps 0) eps 0 2 -2 (sin (/ (+ (* x 2) eps) 2)) (/ (+ (* x 2) eps) 2) (+ (* x 2) eps) x (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (+ 1 (* -1/2 (pow x 2))) (* -1/2 (pow x 2)) -1/2 (pow x 2) (- (cos (+ x eps)) (cos (+ (+ (neg x) (PI)) (PI)))) (cos (+ (+ (neg x) (PI)) (PI))) (+ (+ (neg x) (PI)) (PI)) (+ (neg x) (PI)) (neg x) (PI) (- (* (cos x) (cos eps)) (+ (* (sin x) (sin eps)) (cos x))) (* (cos x) (cos eps)) (cos x) (+ (* (sin x) (sin eps)) (cos x)) (sin x) (sin eps))
5.0ms	x	@	inf	((* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) (* (sin (/ (- eps 0) 2)) -2) (sin (/ (- eps 0) 2)) (/ (- eps 0) 2) (- eps 0) eps 0 2 -2 (sin (/ (+ (* x 2) eps) 2)) (/ (+ (* x 2) eps) 2) (+ (* x 2) eps) x (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (+ 1 (* -1/2 (pow x 2))) (* -1/2 (pow x 2)) -1/2 (pow x 2) (- (cos (+ x eps)) (cos (+ (+ (neg x) (PI)) (PI)))) (cos (+ (+ (neg x) (PI)) (PI))) (+ (+ (neg x) (PI)) (PI)) (+ (neg x) (PI)) (neg x) (PI) (- (* (cos x) (cos eps)) (+ (* (sin x) (sin eps)) (cos x))) (* (cos x) (cos eps)) (cos x) (+ (* (sin x) (sin eps)) (cos x)) (sin x) (sin eps))
4.0ms	x	@	-inf	((* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) (* (sin (/ (- eps 0) 2)) -2) (sin (/ (- eps 0) 2)) (/ (- eps 0) 2) (- eps 0) eps 0 2 -2 (sin (/ (+ (* x 2) eps) 2)) (/ (+ (* x 2) eps) 2) (+ (* x 2) eps) x (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (+ 1 (* -1/2 (pow x 2))) (* -1/2 (pow x 2)) -1/2 (pow x 2) (- (cos (+ x eps)) (cos (+ (+ (neg x) (PI)) (PI)))) (cos (+ (+ (neg x) (PI)) (PI))) (+ (+ (neg x) (PI)) (PI)) (+ (neg x) (PI)) (neg x) (PI) (- (* (cos x) (cos eps)) (+ (* (sin x) (sin eps)) (cos x))) (* (cos x) (cos eps)) (cos x) (+ (* (sin x) (sin eps)) (cos x)) (sin x) (sin eps))
4.0ms	eps	@	-inf	((* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) (* (sin (/ (- eps 0) 2)) -2) (sin (/ (- eps 0) 2)) (/ (- eps 0) 2) (- eps 0) eps 0 2 -2 (sin (/ (+ (* x 2) eps) 2)) (/ (+ (* x 2) eps) 2) (+ (* x 2) eps) x (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (+ 1 (* -1/2 (pow x 2))) (* -1/2 (pow x 2)) -1/2 (pow x 2) (- (cos (+ x eps)) (cos (+ (+ (neg x) (PI)) (PI)))) (cos (+ (+ (neg x) (PI)) (PI))) (+ (+ (neg x) (PI)) (PI)) (+ (neg x) (PI)) (neg x) (PI) (- (* (cos x) (cos eps)) (+ (* (sin x) (sin eps)) (cos x))) (* (cos x) (cos eps)) (cos x) (+ (* (sin x) (sin eps)) (cos x)) (sin x) (sin eps))
4.0ms	x	@	0	((* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) (* (sin (/ (- eps 0) 2)) -2) (sin (/ (- eps 0) 2)) (/ (- eps 0) 2) (- eps 0) eps 0 2 -2 (sin (/ (+ (* x 2) eps) 2)) (/ (+ (* x 2) eps) 2) (+ (* x 2) eps) x (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (+ 1 (* -1/2 (pow x 2))) (* -1/2 (pow x 2)) -1/2 (pow x 2) (- (cos (+ x eps)) (cos (+ (+ (neg x) (PI)) (PI)))) (cos (+ (+ (neg x) (PI)) (PI))) (+ (+ (neg x) (PI)) (PI)) (+ (neg x) (PI)) (neg x) (PI) (- (* (cos x) (cos eps)) (+ (* (sin x) (sin eps)) (cos x))) (* (cos x) (cos eps)) (cos x) (+ (* (sin x) (sin eps)) (cos x)) (sin x) (sin eps))

rewrite711.0ms (5.6%)

Memory

-1.0MiB live, 546.1MiB allocated; 115ms collecting garbage

Counts

37 → 391

Calls

Call 1

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

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

eval57.0ms (0.4%)

Memory: 29.1MiB live, 119.9MiB allocated; 8ms collecting garbage
Compiler: Compiled 5 046 to 2 192 computations (56.6% saved)

prune100.0ms (0.8%)

Memory

-33.4MiB live, 52.5MiB allocated; 109ms collecting garbage

Pruning

24 alts after pruning (21 fresh and 3 done)

	Pruned	Kept	Total
New	515	14	529
Fresh	1	7	8
Picked	3	2	5
Done	0	1	1
Total	519	24	543

Accuracy

100.0%

Counts

543 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.6%	(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
	53.6%	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
✓	53.6%	(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
▶	53.5%	(-.f64 (sin.f64 (-.f64 (neg.f64 eps) (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 x))
	53.5%	(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
	53.4%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 (-.f64 (PI.f64) x) (PI.f64))))
✓	53.5%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	51.9%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	51.6%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
	99.8%	(.f64 (.f64 (sin.f64 (/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64)) (fma.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 eps #s(literal 2 binary64))))))
▶	99.8%	(.f64 (.f64 (sin.f64 (/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64)) (+.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) (.f64 (cos.f64 x) (sin.f64 (/.f64 eps #s(literal 2 binary64))))))
	99.7%	(.f64 (.f64 (sin.f64 (/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64)) (sin.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64))))
	99.6%	(.f64 (.f64 (sin.f64 (/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64)) (sin.f64 #s(approx (/ (+ (* x 2) eps) 2) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x)))))))
	99.6%	(.f64 (.f64 (sin.f64 (/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64)) (sin.f64 #s(approx (/ (+ (* x 2) eps) 2) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))))
	99.7%	(.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) #s(literal -2 binary64)) (sin.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x)))
	99.1%	(.f64 #s(approx ( (sin (/ (- eps 0) 2)) -2) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))) (sin.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 2 binary64))))
▶	98.6%	(.f64 #s(approx ( (sin (/ (- eps 0) 2)) -2) (*.f64 #s(literal -1 binary64) eps)) (sin.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 2 binary64))))
✓	51.5%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
	51.5%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64)))
	98.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
	78.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x))))
▶	53.0%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
	98.1%	#s(approx (* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))))))
▶	97.3%	#s(approx (* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) (fma.f64 #s(literal -2 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))

Compiler

Compiled 704 to 663 computations (5.8% saved)

series475.0ms (3.8%)

Memory

22.0MiB live, 425.5MiB allocated; 105ms collecting garbage

Counts

47 → 145

Calls

Call 1

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

Outputs
#s(approx (* (* (sin (/ (- eps 0) 2)) -2) (+ (* (sin x) (cos (/ eps 2))) (* (cos x) (sin (/ eps 2))))) (.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
#s(approx (* (* (sin (/ (- eps 0) 2)) -2) (+ (* (sin x) (cos (/ eps 2))) (* (cos x) (sin (/ eps 2))))) (fma.f64 #s(literal -2 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))
#s(approx (* (* (sin (/ (- eps 0) 2)) -2) (+ (* (sin x) (cos (/ eps 2))) (* (cos x) (sin (/ eps 2))))) (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))
#s(approx (* (* (sin (/ (- eps 0) 2)) -2) (+ (* (sin x) (cos (/ eps 2))) (* (cos x) (sin (/ eps 2))))) (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))))))
#s(approx (+ (* (sin x) (cos (/ eps 2))) (* (cos x) (sin (/ eps 2)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (+ (* (sin x) (cos (/ eps 2))) (* (cos x) (sin (/ eps 2)))) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (+ (* (sin x) (cos (/ eps 2))) (* (cos x) (sin (/ eps 2)))) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal -1/2 binary64) (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))))
#s(approx (+ (* (sin x) (cos (/ eps 2))) (* (cos x) (sin (/ eps 2)))) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal -1/6 binary64) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) eps))))))))))
#s(approx (* (sin x) (cos (/ eps 2))) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (sin x) (cos (/ eps 2))) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))
#s(approx (* (sin x) (cos (/ eps 2))) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal 1/120 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))))
#s(approx (* (sin x) (cos (/ eps 2))) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal 1/120 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))))
#s(approx (sin x) x)
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (* (cos x) (sin (/ eps 2))) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))
#s(approx (* (cos x) (sin (/ eps 2))) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))))
#s(approx (* (cos x) (sin (/ eps 2))) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal 1/24 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))))))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (.f64 #s(literal -1 binary64) (.f64 x (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))) (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (.f64 #s(literal 1/6 binary64) (.f64 x (sin.f64 eps)))))) (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (/ (+ (* x 2) eps) 2) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (/ (+ (* x 2) eps) 2) (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (+ (* x 2) eps) eps)
#s(approx (+ (* x 2) eps) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
#s(approx (- (sin (- (neg eps) (- x (/ (PI) 2)))) (cos x)) (-.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) eps)) #s(literal 1 binary64)))
#s(approx (- (sin (- (neg eps) (- x (/ (PI) 2)))) (cos x)) (-.f64 (+.f64 (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) eps)) (.f64 #s(literal -1 binary64) (.f64 x (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) eps))))) #s(literal 1 binary64)))
#s(approx (- (sin (- (neg eps) (- x (/ (PI) 2)))) (cos x)) (-.f64 (+.f64 (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) eps)) (.f64 x (fma.f64 #s(literal -1 binary64) (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) eps)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) eps)))))))) #s(literal 1 binary64)))
#s(approx (- (sin (- (neg eps) (- x (/ (PI) 2)))) (cos x)) (-.f64 (+.f64 (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) eps)) (.f64 x (fma.f64 #s(literal -1 binary64) (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) eps)) (.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) eps)) (.f64 #s(literal 1/6 binary64) (.f64 x (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) eps)))))))))) #s(literal 1 binary64)))
#s(approx (sin (- (neg eps) (- x (/ (PI) 2)))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) eps)))
#s(approx (sin (- (neg eps) (- x (/ (PI) 2)))) (+.f64 (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) eps)) (.f64 #s(literal -1 binary64) (.f64 x (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) eps))))))
#s(approx (sin (- (neg eps) (- x (/ (PI) 2)))) (+.f64 (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) eps)) (.f64 x (fma.f64 #s(literal -1 binary64) (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) eps)) (.f64 #s(literal -1/2 binary64) (.f64 x (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) eps))))))))
#s(approx (sin (- (neg eps) (- x (/ (PI) 2)))) (+.f64 (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) eps)) (.f64 x (fma.f64 #s(literal -1 binary64) (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) eps)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) eps)) (.f64 #s(literal 1/6 binary64) (.f64 x (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) eps))))))))))
#s(approx (- (neg eps) (- x (/ (PI) 2))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) eps))
#s(approx (- (neg eps) (- x (/ (PI) 2))) (-.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/2 binary64) (PI.f64))) eps))
#s(approx (- x (/ (PI) 2)) (*.f64 #s(literal -1/2 binary64) (PI.f64)))
#s(approx (- x (/ (PI) 2)) (-.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (* (sin (/ (- eps 0) 2)) -2) (+ (* (sin x) (cos (/ eps 2))) (* (cos x) (sin (/ eps 2))))) (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (fma.f64 (cos.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x))))))
#s(approx (+ (* (sin x) (cos (/ eps 2))) (* (cos x) (sin (/ eps 2)))) (fma.f64 (cos.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x))))
#s(approx (* (sin x) (cos (/ eps 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (cos x) (sin (/ eps 2))) (.f64 (cos.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (cos x) (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))))
#s(approx (sin (/ (+ (* x 2) eps) 2)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))))
#s(approx (/ (+ (* x 2) eps) 2) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x)))))
#s(approx (+ (* x 2) eps) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (* x 2) eps) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
#s(approx (- (sin (- (neg eps) (- x (/ (PI) 2)))) (cos x)) (-.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 eps x))) (cos.f64 x)))
#s(approx (sin (- (neg eps) (- x (/ (PI) 2)))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 eps x))))
#s(approx (- (neg eps) (- x (/ (PI) 2))) (*.f64 #s(literal -1 binary64) x))
#s(approx (- (neg eps) (- x (/ (PI) 2))) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x)) (+.f64 #s(literal 1 binary64) (/.f64 eps x)))))
#s(approx (- x (/ (PI) 2)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) x)))))
#s(approx (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2))) (.f64 #s(literal -2 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
#s(approx (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2))) (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) x)))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 x)))
#s(approx (* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))))
#s(approx (sin (/ (+ (* x 2) eps) 2)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))))
#s(approx (/ (+ (* x 2) eps) 2) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (+ (* x 2) eps) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64)))))
#s(approx (- (sin (- (neg eps) (- x (/ (PI) 2)))) (cos x)) (-.f64 (sin.f64 (-.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/2 binary64) (PI.f64))) eps)) (cos.f64 x)))
#s(approx (sin (- (neg eps) (- x (/ (PI) 2)))) (sin.f64 (-.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/2 binary64) (PI.f64))) eps)))
#s(approx (- (neg eps) (- x (/ (PI) 2))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) eps) x))))))
#s(approx (- x (/ (PI) 2)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x)) #s(literal 1 binary64)))))
#s(approx (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2))) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) x))))))
#s(approx (* (* (sin (/ (- eps 0) 2)) -2) (+ (* (sin x) (cos (/ eps 2))) (* (cos x) (sin (/ eps 2))))) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x))))
#s(approx (* (* (sin (/ (- eps 0) 2)) -2) (+ (* (sin x) (cos (/ eps 2))) (* (cos x) (sin (/ eps 2))))) (.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))))))
#s(approx (* (* (sin (/ (- eps 0) 2)) -2) (+ (* (sin x) (cos (/ eps 2))) (* (cos x) (sin (/ eps 2))))) (.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -2 binary64) (.f64 eps (fma.f64 #s(literal -1/16 binary64) (sin.f64 x) (.f64 #s(literal -1/48 binary64) (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))))
#s(approx (* (* (sin (/ (- eps 0) 2)) -2) (+ (* (sin x) (cos (/ eps 2))) (* (cos x) (sin (/ eps 2))))) (.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal -2 binary64) (fma.f64 #s(literal -1/16 binary64) (sin.f64 x) (.f64 #s(literal -1/48 binary64) (sin.f64 x))) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))))))))))
#s(approx (* (sin (/ (- eps 0) 2)) -2) (*.f64 #s(literal -1 binary64) eps))
#s(approx (* (sin (/ (- eps 0) 2)) -2) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (* (sin (/ (- eps 0) 2)) -2) (.f64 eps (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/1920 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64))))
#s(approx (* (sin (/ (- eps 0) 2)) -2) (.f64 eps (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/322560 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/1920 binary64))))) #s(literal 1 binary64))))
#s(approx (sin (/ (- eps 0) 2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (sin (/ (- eps 0) 2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))))))
#s(approx (sin (/ (- eps 0) 2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3840 binary64) (.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/48 binary64))))))
#s(approx (+ (* (sin x) (cos (/ eps 2))) (* (cos x) (sin (/ eps 2)))) (+.f64 (sin.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x)))))
#s(approx (+ (* (sin x) (cos (/ eps 2))) (* (cos x) (sin (/ eps 2)))) (+.f64 (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (.f64 eps (sin.f64 x)) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))))
#s(approx (+ (* (sin x) (cos (/ eps 2))) (* (cos x) (sin (/ eps 2)))) (+.f64 (sin.f64 x) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (sin.f64 x) (.f64 #s(literal -1/48 binary64) (.f64 eps (cos.f64 x)))))))))
#s(approx (* (sin x) (cos (/ eps 2))) (+.f64 (sin.f64 x) (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))))
#s(approx (* (sin x) (cos (/ eps 2))) (+.f64 (sin.f64 x) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (sin.f64 x) (.f64 #s(literal 1/384 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))))))
#s(approx (* (sin x) (cos (/ eps 2))) (+.f64 (sin.f64 x) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (sin.f64 x) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/46080 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)) (.f64 #s(literal 1/384 binary64) (sin.f64 x))))))))
#s(approx (cos (/ eps 2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (cos (/ eps 2)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/384 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/8 binary64)))))
#s(approx (cos (/ eps 2)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/384 binary64) (*.f64 #s(literal -1/46080 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/8 binary64)))))
#s(approx (* (cos x) (sin (/ eps 2))) (.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x))))
#s(approx (* (cos x) (sin (/ eps 2))) (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))))
#s(approx (* (cos x) (sin (/ eps 2))) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) (cos.f64 x) (.f64 #s(literal 1/3840 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))))))
#s(approx (* (cos x) (sin (/ eps 2))) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) (cos.f64 x) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/645120 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)) (*.f64 #s(literal 1/3840 binary64) (cos.f64 x)))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x))))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x))))
#s(approx (- (cos eps) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (- (cos eps) 1) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (- (cos eps) 1) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
#s(approx (- (cos eps) 1) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/40320 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64))))
#s(approx (pow eps 2) (pow.f64 eps #s(literal 2 binary64)))
#s(approx (- (sin (- (neg eps) (- x (/ (PI) 2)))) (cos x)) (-.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x)) (cos.f64 x)))
#s(approx (- (sin (- (neg eps) (- x (/ (PI) 2)))) (cos x)) (-.f64 (+.f64 (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x)) (.f64 #s(literal -1 binary64) (.f64 eps (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x))))) (cos.f64 x)))
#s(approx (- (sin (- (neg eps) (- x (/ (PI) 2)))) (cos x)) (-.f64 (+.f64 (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x)) (.f64 eps (fma.f64 #s(literal -1 binary64) (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x)) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x))))))) (cos.f64 x)))
#s(approx (- (sin (- (neg eps) (- x (/ (PI) 2)))) (cos x)) (-.f64 (+.f64 (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x)) (.f64 eps (fma.f64 #s(literal -1 binary64) (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x)) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x)) (.f64 #s(literal 1/6 binary64) (.f64 eps (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x))))))))) (cos.f64 x)))
#s(approx (sin (- (neg eps) (- x (/ (PI) 2)))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x)))
#s(approx (sin (- (neg eps) (- x (/ (PI) 2)))) (+.f64 (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x)) (.f64 #s(literal -1 binary64) (.f64 eps (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x))))))
#s(approx (sin (- (neg eps) (- x (/ (PI) 2)))) (+.f64 (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x)) (.f64 eps (fma.f64 #s(literal -1 binary64) (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x)) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x))))))))
#s(approx (sin (- (neg eps) (- x (/ (PI) 2)))) (+.f64 (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x)) (.f64 eps (fma.f64 #s(literal -1 binary64) (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x)) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x)) (.f64 #s(literal 1/6 binary64) (.f64 eps (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x))))))))))
#s(approx (- (neg eps) (- x (/ (PI) 2))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x))
#s(approx (- (neg eps) (- x (/ (PI) 2))) (-.f64 (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal 1/2 binary64) (PI.f64))) x))
#s(approx (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2))) (.f64 #s(literal -1 binary64) (.f64 eps x)))
#s(approx (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2))) (.f64 eps (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1/2 binary64) eps))))
#s(approx (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2))) (.f64 eps (fma.f64 #s(literal -1 binary64) x (.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps x)) #s(literal 1/2 binary64))))))
#s(approx (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2))) (.f64 eps (fma.f64 #s(literal -1 binary64) x (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal 1/24 binary64) eps (.f64 #s(literal 1/6 binary64) x))) #s(literal 1/2 binary64))))))
#s(approx (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (.f64 #s(literal 1/2 binary64) (.f64 eps x)))
#s(approx (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (.f64 eps (fma.f64 #s(literal -1/12 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (.f64 eps (fma.f64 #s(literal 1/2 binary64) x (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) x (.f64 #s(literal 1/240 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))))
#s(approx (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (.f64 eps (fma.f64 #s(literal 1/2 binary64) x (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) x (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/10080 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 #s(literal 1/240 binary64) x))))))))
#s(approx (* (cos (* 1/2 eps)) (sin (* 1/2 eps))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (* (cos (* 1/2 eps)) (sin (* 1/2 eps))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/240 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/12 binary64))))))
#s(approx (* (cos (* 1/2 eps)) (sin (* 1/2 eps))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (.f64 #s(literal -1/10080 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/12 binary64))))))
#s(approx (pow (sin (* 1/2 eps)) 2) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (pow (sin (* 1/2 eps)) 2) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (pow (sin (* 1/2 eps)) 2) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1440 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))))))
#s(approx (pow (sin (* 1/2 eps)) 2) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/1440 binary64) (.f64 #s(literal -1/80640 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/48 binary64))))))
#s(approx (* (sin (/ (- eps 0) 2)) -2) (.f64 #s(literal -2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (cos (/ eps 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (/ (+ (* x 2) eps) 2) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))
#s(approx (+ (* x 2) eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps)))))
#s(approx (- (neg eps) (- x (/ (PI) 2))) (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) eps)) (+.f64 #s(literal 1 binary64) (/.f64 x eps)))))
#s(approx (* (cos (* 1/2 eps)) (sin (* 1/2 eps))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (pow (sin (* 1/2 eps)) 2) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x)))
#s(approx (* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps)))))))
#s(approx (sin (/ (+ (* x 2) eps) 2)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))
#s(approx (/ (+ (* x 2) eps) 2) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))))
#s(approx (+ (* x 2) eps) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (- (sin (- (neg eps) (- x (/ (PI) 2)))) (cos x)) (-.f64 (sin.f64 (-.f64 (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal 1/2 binary64) (PI.f64))) x)) (cos.f64 x)))
#s(approx (sin (- (neg eps) (- x (/ (PI) 2)))) (sin.f64 (-.f64 (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal 1/2 binary64) (PI.f64))) x)))
#s(approx (- (neg eps) (- x (/ (PI) 2))) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x) eps))))))

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	eps	@	-inf	((* (* (sin (/ (- eps 0) 2)) -2) (+ (* (sin x) (cos (/ eps 2))) (* (cos x) (sin (/ eps 2))))) (* (sin (/ (- eps 0) 2)) -2) (sin (/ (- eps 0) 2)) (/ (- eps 0) 2) (- eps 0) eps 0 2 -2 (+ (* (sin x) (cos (/ eps 2))) (* (cos x) (sin (/ eps 2)))) (* (sin x) (cos (/ eps 2))) (sin x) x (cos (/ eps 2)) (/ eps 2) (* (cos x) (sin (/ eps 2))) (cos x) (sin (/ eps 2)) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (* -1/2 (pow eps 2)) -1/2 (pow eps 2) (* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) (* (sin (/ (- eps 0) 2)) -2) (* -1 eps) -1 (sin (/ (+ (* x 2) eps) 2)) (/ (+ (* x 2) eps) 2) (+ (* x 2) eps) (- (sin (- (neg eps) (- x (/ (PI) 2)))) (cos x)) (sin (- (neg eps) (- x (/ (PI) 2)))) (- (neg eps) (- x (/ (PI) 2))) (neg eps) (- x (/ (PI) 2)) (/ (PI) 2) (PI) (* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2))) (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))) (cos (* 1/2 eps)) (* 1/2 eps) 1/2 (sin (* 1/2 eps)) (* -2 (pow (sin (* 1/2 eps)) 2)) (pow (sin (* 1/2 eps)) 2))
8.0ms	x	@	inf	((* (* (sin (/ (- eps 0) 2)) -2) (+ (* (sin x) (cos (/ eps 2))) (* (cos x) (sin (/ eps 2))))) (* (sin (/ (- eps 0) 2)) -2) (sin (/ (- eps 0) 2)) (/ (- eps 0) 2) (- eps 0) eps 0 2 -2 (+ (* (sin x) (cos (/ eps 2))) (* (cos x) (sin (/ eps 2)))) (* (sin x) (cos (/ eps 2))) (sin x) x (cos (/ eps 2)) (/ eps 2) (* (cos x) (sin (/ eps 2))) (cos x) (sin (/ eps 2)) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (* -1/2 (pow eps 2)) -1/2 (pow eps 2) (* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) (* (sin (/ (- eps 0) 2)) -2) (* -1 eps) -1 (sin (/ (+ (* x 2) eps) 2)) (/ (+ (* x 2) eps) 2) (+ (* x 2) eps) (- (sin (- (neg eps) (- x (/ (PI) 2)))) (cos x)) (sin (- (neg eps) (- x (/ (PI) 2)))) (- (neg eps) (- x (/ (PI) 2))) (neg eps) (- x (/ (PI) 2)) (/ (PI) 2) (PI) (* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2))) (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))) (cos (* 1/2 eps)) (* 1/2 eps) 1/2 (sin (* 1/2 eps)) (* -2 (pow (sin (* 1/2 eps)) 2)) (pow (sin (* 1/2 eps)) 2))
5.0ms	eps	@	inf	((* (* (sin (/ (- eps 0) 2)) -2) (+ (* (sin x) (cos (/ eps 2))) (* (cos x) (sin (/ eps 2))))) (* (sin (/ (- eps 0) 2)) -2) (sin (/ (- eps 0) 2)) (/ (- eps 0) 2) (- eps 0) eps 0 2 -2 (+ (* (sin x) (cos (/ eps 2))) (* (cos x) (sin (/ eps 2)))) (* (sin x) (cos (/ eps 2))) (sin x) x (cos (/ eps 2)) (/ eps 2) (* (cos x) (sin (/ eps 2))) (cos x) (sin (/ eps 2)) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (* -1/2 (pow eps 2)) -1/2 (pow eps 2) (* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) (* (sin (/ (- eps 0) 2)) -2) (* -1 eps) -1 (sin (/ (+ (* x 2) eps) 2)) (/ (+ (* x 2) eps) 2) (+ (* x 2) eps) (- (sin (- (neg eps) (- x (/ (PI) 2)))) (cos x)) (sin (- (neg eps) (- x (/ (PI) 2)))) (- (neg eps) (- x (/ (PI) 2))) (neg eps) (- x (/ (PI) 2)) (/ (PI) 2) (PI) (* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2))) (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))) (cos (* 1/2 eps)) (* 1/2 eps) 1/2 (sin (* 1/2 eps)) (* -2 (pow (sin (* 1/2 eps)) 2)) (pow (sin (* 1/2 eps)) 2))
5.0ms	x	@	-inf	((* (* (sin (/ (- eps 0) 2)) -2) (+ (* (sin x) (cos (/ eps 2))) (* (cos x) (sin (/ eps 2))))) (* (sin (/ (- eps 0) 2)) -2) (sin (/ (- eps 0) 2)) (/ (- eps 0) 2) (- eps 0) eps 0 2 -2 (+ (* (sin x) (cos (/ eps 2))) (* (cos x) (sin (/ eps 2)))) (* (sin x) (cos (/ eps 2))) (sin x) x (cos (/ eps 2)) (/ eps 2) (* (cos x) (sin (/ eps 2))) (cos x) (sin (/ eps 2)) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (* -1/2 (pow eps 2)) -1/2 (pow eps 2) (* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) (* (sin (/ (- eps 0) 2)) -2) (* -1 eps) -1 (sin (/ (+ (* x 2) eps) 2)) (/ (+ (* x 2) eps) 2) (+ (* x 2) eps) (- (sin (- (neg eps) (- x (/ (PI) 2)))) (cos x)) (sin (- (neg eps) (- x (/ (PI) 2)))) (- (neg eps) (- x (/ (PI) 2))) (neg eps) (- x (/ (PI) 2)) (/ (PI) 2) (PI) (* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2))) (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))) (cos (* 1/2 eps)) (* 1/2 eps) 1/2 (sin (* 1/2 eps)) (* -2 (pow (sin (* 1/2 eps)) 2)) (pow (sin (* 1/2 eps)) 2))
4.0ms	x	@	0	((* (* (sin (/ (- eps 0) 2)) -2) (+ (* (sin x) (cos (/ eps 2))) (* (cos x) (sin (/ eps 2))))) (* (sin (/ (- eps 0) 2)) -2) (sin (/ (- eps 0) 2)) (/ (- eps 0) 2) (- eps 0) eps 0 2 -2 (+ (* (sin x) (cos (/ eps 2))) (* (cos x) (sin (/ eps 2)))) (* (sin x) (cos (/ eps 2))) (sin x) x (cos (/ eps 2)) (/ eps 2) (* (cos x) (sin (/ eps 2))) (cos x) (sin (/ eps 2)) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (* -1/2 (pow eps 2)) -1/2 (pow eps 2) (* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) (* (sin (/ (- eps 0) 2)) -2) (* -1 eps) -1 (sin (/ (+ (* x 2) eps) 2)) (/ (+ (* x 2) eps) 2) (+ (* x 2) eps) (- (sin (- (neg eps) (- x (/ (PI) 2)))) (cos x)) (sin (- (neg eps) (- x (/ (PI) 2)))) (- (neg eps) (- x (/ (PI) 2))) (neg eps) (- x (/ (PI) 2)) (/ (PI) 2) (PI) (* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2))) (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))) (cos (* 1/2 eps)) (* 1/2 eps) 1/2 (sin (* 1/2 eps)) (* -2 (pow (sin (* 1/2 eps)) 2)) (pow (sin (* 1/2 eps)) 2))

rewrite828.0ms (6.6%)

Memory

8.3MiB live, 489.7MiB allocated; 102ms collecting garbage

Counts

47 → 524

Calls

Call 1

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

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

eval135.0ms (1.1%)

Memory: 4.2MiB live, 97.6MiB allocated; 19ms collecting garbage
Compiler: Compiled 6 476 to 2 623 computations (59.5% saved)

prune40.0ms (0.3%)

Memory

-9.0MiB live, 36.7MiB allocated; 4ms collecting garbage

Pruning

29 alts after pruning (26 fresh and 3 done)

	Pruned	Kept	Total
New	564	16	580
Fresh	6	10	16
Picked	5	0	5
Done	0	3	3
Total	575	29	604

Accuracy

100.0%

Counts

604 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) #s(literal -2 binary64)) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) (sin.f64 x) (.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) #s(literal -2 binary64)) (*.f64 (cos.f64 x) (sin.f64 (/.f64 eps #s(literal 2 binary64))))))
	53.6%	(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
	53.6%	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	14.4%	(-.f64 (.f64 (cos.f64 (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (neg.f64 eps))) (-.f64 (.f64 (neg.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (cos.f64 x))))
✓	53.6%	(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
	53.4%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 (-.f64 (PI.f64) x) (PI.f64))))
✓	53.5%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	51.9%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
▶	51.6%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
	53.5%	(-.f64 #s(approx (sin (- (neg eps) (- x (/ (PI) 2)))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 eps x)))) (cos.f64 x))
▶	99.7%	(.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) #s(literal -2 binary64)) (sin.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x)))
	99.1%	(.f64 #s(approx ( (sin (/ (- eps 0) 2)) -2) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))) (sin.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 2 binary64))))
	98.6%	(.f64 #s(approx ( (sin (/ (- eps 0) 2)) -2) (*.f64 #s(literal -1 binary64) eps)) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
▶	98.5%	(.f64 #s(approx ( (sin (/ (- eps 0) 2)) -2) (.f64 #s(literal -1 binary64) eps)) (sin.f64 #s(approx (/ (+ ( x 2) eps) 2) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x)))))))
	98.6%	(.f64 #s(approx ( (sin (/ (- eps 0) 2)) -2) (.f64 #s(literal -1 binary64) eps)) (sin.f64 #s(approx (/ (+ ( x 2) eps) 2) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))))
	98.6%	(.f64 #s(approx ( (sin (/ eps 2)) -2) (neg.f64 eps)) (sin.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x)))
✓	51.5%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
	51.5%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64)))
	98.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
	78.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x))))
	53.0%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
	98.1%	#s(approx (* (* (sin (/ (- eps 0) 2)) -2) (+ (* (sin x) (cos (/ eps 2))) (* (cos x) (sin (/ eps 2))))) (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))))))
	99.8%	#s(approx (* (* (sin (/ (- eps 0) 2)) -2) (+ (* (sin x) (cos (/ eps 2))) (* (cos x) (sin (/ eps 2))))) (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (fma.f64 (cos.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x))))))
	97.3%	#s(approx (* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) (fma.f64 #s(literal -2 binary64) #s(approx (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (.f64 #s(literal 1/2 binary64) (.f64 eps x))) (.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))
	97.4%	#s(approx (* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) #s(approx (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2))) (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) x))))))
	97.3%	#s(approx (* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) #s(approx (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2))) (.f64 eps (fma.f64 #s(literal -1 binary64) x (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal 1/24 binary64) eps (.f64 #s(literal 1/6 binary64) x))) #s(literal 1/2 binary64)))))))
	97.3%	#s(approx (* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) #s(approx (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2))) (.f64 eps (fma.f64 #s(literal -1 binary64) x (.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps x)) #s(literal 1/2 binary64)))))))
	97.4%	#s(approx (* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) #s(approx (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2))) (.f64 eps (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1/2 binary64) eps)))))
▶	78.1%	#s(approx (* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) #s(approx (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2))) (.f64 #s(literal -1 binary64) (.f64 eps x))))

Compiler

Compiled 1 170 to 1 075 computations (8.1% saved)

series358.0ms (2.8%)

Memory

17.8MiB live, 157.2MiB allocated; 26ms collecting garbage

Counts

37 → 116

Calls

Call 1

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

Outputs
#s(approx (+ (* (* (* (sin (/ eps 2)) -2) (cos (/ eps 2))) (sin x)) (* (* (sin (/ eps 2)) -2) (* (cos x) (sin (/ eps 2))))) (.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
#s(approx (+ (* (* (* (sin (/ eps 2)) -2) (cos (/ eps 2))) (sin x)) (* (* (sin (/ eps 2)) -2) (* (cos x) (sin (/ eps 2))))) (fma.f64 #s(literal -2 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))
#s(approx (+ (* (* (* (sin (/ eps 2)) -2) (cos (/ eps 2))) (sin x)) (* (* (sin (/ eps 2)) -2) (* (cos x) (sin (/ eps 2))))) (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))
#s(approx (+ (* (* (* (sin (/ eps 2)) -2) (cos (/ eps 2))) (sin x)) (* (* (sin (/ eps 2)) -2) (* (cos x) (sin (/ eps 2))))) (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))))))
#s(approx (sin x) 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 2)) -2) (* (cos x) (sin (/ eps 2)))) (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))
#s(approx (* (* (sin (/ eps 2)) -2) (* (cos x) (sin (/ eps 2)))) (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))))
#s(approx (* (* (sin (/ eps 2)) -2) (* (cos x) (sin (/ eps 2)))) (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 #s(literal 1/360 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))))
#s(approx (* (cos x) (sin (/ eps 2))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (* (cos x) (sin (/ eps 2))) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))
#s(approx (* (cos x) (sin (/ eps 2))) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))))
#s(approx (* (cos x) (sin (/ eps 2))) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal 1/24 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))))))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (* -1 (* eps x)) (.f64 #s(literal -1 binary64) (.f64 eps x)))
#s(approx (* eps x) (*.f64 eps x))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (.f64 #s(literal -1 binary64) (.f64 x (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))) (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (.f64 #s(literal 1/6 binary64) (.f64 x (sin.f64 eps)))))) (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (cos (+ x eps)) (cos.f64 eps))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 eps) (.f64 #s(literal -1 binary64) (.f64 x (sin.f64 eps)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 eps))) (sin.f64 eps)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (.f64 #s(literal 1/6 binary64) (.f64 x (sin.f64 eps))))) (sin.f64 eps)))))
#s(approx (+ x eps) eps)
#s(approx (+ x eps) (+.f64 eps x))
#s(approx (sin (/ (+ (* x 2) eps) 2)) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (sin (/ (+ (* x 2) eps) 2)) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal -1/2 binary64) (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))))
#s(approx (sin (/ (+ (* x 2) eps) 2)) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal -1/6 binary64) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) eps))))))))))
#s(approx (/ (+ (* x 2) eps) 2) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (/ (+ (* x 2) eps) 2) (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (+ 1 (* 1/2 (/ eps x))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))
#s(approx (+ 1 (* 1/2 (/ eps x))) (/.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)) x))
#s(approx (/ eps x) (/.f64 eps x))
#s(approx (+ (* (* (* (sin (/ eps 2)) -2) (cos (/ eps 2))) (sin x)) (* (* (sin (/ eps 2)) -2) (* (cos x) (sin (/ eps 2))))) (fma.f64 #s(literal -2 binary64) (.f64 (cos.f64 x) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (* (sin (/ eps 2)) -2) (* (cos x) (sin (/ eps 2)))) (.f64 #s(literal -2 binary64) (.f64 (cos.f64 x) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))
#s(approx (* (cos x) (sin (/ eps 2))) (.f64 (cos.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (cos x) (cos.f64 x))
#s(approx (* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))))
#s(approx (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2))) (.f64 #s(literal -2 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
#s(approx (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2))) (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) x)))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (cos (+ x eps)) (cos.f64 (+.f64 eps x)))
#s(approx (+ x eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (sin (/ (+ (* x 2) eps) 2)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))))
#s(approx (/ (+ (* x 2) eps) 2) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x)))))
#s(approx (+ 1 (* 1/2 (/ eps x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))
#s(approx (* (* (sin (/ eps 2)) -2) (sin (+ (/ eps 2) x))) (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))))))
#s(approx (sin (+ (/ eps 2) x)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))))
#s(approx (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2))) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) x))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 x)))
#s(approx (cos (+ x eps)) (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))))
#s(approx (+ x eps) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (sin (/ (+ (* x 2) eps) 2)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))))
#s(approx (/ (+ (* x 2) eps) 2) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (* (* (sin (/ eps 2)) -2) (sin (+ (/ eps 2) x))) (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x))))))
#s(approx (sin (+ (/ eps 2) x)) (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal -1 binary64) x))))
#s(approx (+ (* (* (* (sin (/ eps 2)) -2) (cos (/ eps 2))) (sin x)) (* (* (sin (/ eps 2)) -2) (* (cos x) (sin (/ eps 2))))) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x))))
#s(approx (+ (* (* (* (sin (/ eps 2)) -2) (cos (/ eps 2))) (sin x)) (* (* (sin (/ eps 2)) -2) (* (cos x) (sin (/ eps 2))))) (.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))))))
#s(approx (+ (* (* (* (sin (/ eps 2)) -2) (cos (/ eps 2))) (sin x)) (* (* (sin (/ eps 2)) -2) (* (cos x) (sin (/ eps 2))))) (.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -2 binary64) (.f64 eps (fma.f64 #s(literal -1/16 binary64) (sin.f64 x) (.f64 #s(literal -1/48 binary64) (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))))
#s(approx (+ (* (* (* (sin (/ eps 2)) -2) (cos (/ eps 2))) (sin x)) (* (* (sin (/ eps 2)) -2) (* (cos x) (sin (/ eps 2))))) (.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal -2 binary64) (fma.f64 #s(literal -1/16 binary64) (sin.f64 x) (.f64 #s(literal -1/48 binary64) (sin.f64 x))) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))))))))))
#s(approx (* (* (sin (/ eps 2)) -2) (cos (/ eps 2))) (*.f64 #s(literal -1 binary64) eps))
#s(approx (* (* (sin (/ eps 2)) -2) (cos (/ eps 2))) (.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (* (* (sin (/ eps 2)) -2) (cos (/ eps 2))) (.f64 eps (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64))))
#s(approx (* (* (sin (/ eps 2)) -2) (cos (/ eps 2))) (.f64 eps (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/5040 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/120 binary64))))) #s(literal 1 binary64))))
#s(approx (* (sin (/ eps 2)) -2) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (* (sin (/ eps 2)) -2) (.f64 eps (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/1920 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64))))
#s(approx (* (sin (/ eps 2)) -2) (.f64 eps (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/322560 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/1920 binary64))))) #s(literal 1 binary64))))
#s(approx (sin (/ eps 2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (sin (/ eps 2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))))))
#s(approx (sin (/ eps 2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3840 binary64) (.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/48 binary64))))))
#s(approx (cos (/ eps 2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (cos (/ eps 2)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/384 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/8 binary64)))))
#s(approx (cos (/ eps 2)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/384 binary64) (*.f64 #s(literal -1/46080 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/8 binary64)))))
#s(approx (* (* (sin (/ eps 2)) -2) (* (cos x) (sin (/ eps 2)))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))
#s(approx (* (* (sin (/ eps 2)) -2) (* (cos x) (sin (/ eps 2)))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))))
#s(approx (* (* (sin (/ eps 2)) -2) (* (cos x) (sin (/ eps 2)))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)) (.f64 #s(literal 1/24 binary64) (cos.f64 x)))))))
#s(approx (* (* (sin (/ eps 2)) -2) (* (cos x) (sin (/ eps 2)))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (cos.f64 x) (.f64 #s(literal 1/40320 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))))))))
#s(approx (* (cos x) (sin (/ eps 2))) (.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x))))
#s(approx (* (cos x) (sin (/ eps 2))) (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))))
#s(approx (* (cos x) (sin (/ eps 2))) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) (cos.f64 x) (.f64 #s(literal 1/3840 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))))))
#s(approx (* (cos x) (sin (/ eps 2))) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) (cos.f64 x) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/645120 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)) (*.f64 #s(literal 1/3840 binary64) (cos.f64 x)))))))))
#s(approx (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2))) (.f64 eps (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1/2 binary64) eps))))
#s(approx (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2))) (.f64 eps (fma.f64 #s(literal -1 binary64) x (.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps x)) #s(literal 1/2 binary64))))))
#s(approx (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2))) (.f64 eps (fma.f64 #s(literal -1 binary64) x (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal 1/24 binary64) eps (.f64 #s(literal 1/6 binary64) x))) #s(literal 1/2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x))))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 x) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 x) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x))))) (sin.f64 x)))))
#s(approx (sin (/ (+ (* x 2) eps) 2)) (+.f64 (sin.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x)))))
#s(approx (sin (/ (+ (* x 2) eps) 2)) (+.f64 (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (.f64 eps (sin.f64 x)) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))))
#s(approx (sin (/ (+ (* x 2) eps) 2)) (+.f64 (sin.f64 x) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (sin.f64 x) (.f64 #s(literal -1/48 binary64) (.f64 eps (cos.f64 x)))))))))
#s(approx (* (* (sin (/ eps 2)) -2) (cos (/ eps 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 (/ eps 2)) -2) (.f64 #s(literal -2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (cos (/ eps 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (+ x eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (/ (+ (* x 2) eps) 2) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))
#s(approx (+ 1 (* 1/2 (/ eps x))) (.f64 eps (+.f64 (/.f64 #s(literal 1 binary64) eps) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x)))
#s(approx (cos (+ x eps)) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))))
#s(approx (+ x eps) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (sin (/ (+ (* x 2) eps) 2)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))
#s(approx (/ (+ (* x 2) eps) 2) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))))
#s(approx (+ 1 (* 1/2 (/ eps x))) (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) eps))))
#s(approx (* (* (sin (/ eps 2)) -2) (sin (+ (/ eps 2) x))) (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (-.f64 x (.f64 #s(literal -1/2 binary64) eps))))))
#s(approx (sin (+ (/ eps 2) x)) (sin.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))))

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	eps	@	inf	((+ (* (* (* (sin (/ eps 2)) -2) (cos (/ eps 2))) (sin x)) (* (* (sin (/ eps 2)) -2) (* (cos x) (sin (/ eps 2))))) (* (* (sin (/ eps 2)) -2) (cos (/ eps 2))) (* (sin (/ eps 2)) -2) (sin (/ eps 2)) (/ eps 2) eps 2 -2 (cos (/ eps 2)) (sin x) x (* (* (sin (/ eps 2)) -2) (* (cos x) (sin (/ eps 2)))) (* (cos x) (sin (/ eps 2))) (cos x) (* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2))) (* -1 (* eps x)) -1 (* eps x) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) 1 (* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) (* (sin (/ (- eps 0) 2)) -2) (* -1 eps) (sin (/ (+ (* x 2) eps) 2)) (/ (+ (* x 2) eps) 2) (* x (+ 1 (* 1/2 (/ eps x)))) (+ 1 (* 1/2 (/ eps x))) (* 1/2 (/ eps x)) 1/2 (/ eps x) (* (* (sin (/ eps 2)) -2) (sin (+ (/ eps 2) x))) (sin (+ (/ eps 2) x)) (+ (/ eps 2) x))
6.0ms	eps	@	-inf	((+ (* (* (* (sin (/ eps 2)) -2) (cos (/ eps 2))) (sin x)) (* (* (sin (/ eps 2)) -2) (* (cos x) (sin (/ eps 2))))) (* (* (sin (/ eps 2)) -2) (cos (/ eps 2))) (* (sin (/ eps 2)) -2) (sin (/ eps 2)) (/ eps 2) eps 2 -2 (cos (/ eps 2)) (sin x) x (* (* (sin (/ eps 2)) -2) (* (cos x) (sin (/ eps 2)))) (* (cos x) (sin (/ eps 2))) (cos x) (* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2))) (* -1 (* eps x)) -1 (* eps x) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) 1 (* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) (* (sin (/ (- eps 0) 2)) -2) (* -1 eps) (sin (/ (+ (* x 2) eps) 2)) (/ (+ (* x 2) eps) 2) (* x (+ 1 (* 1/2 (/ eps x)))) (+ 1 (* 1/2 (/ eps x))) (* 1/2 (/ eps x)) 1/2 (/ eps x) (* (* (sin (/ eps 2)) -2) (sin (+ (/ eps 2) x))) (sin (+ (/ eps 2) x)) (+ (/ eps 2) x))
5.0ms	x	@	-inf	((+ (* (* (* (sin (/ eps 2)) -2) (cos (/ eps 2))) (sin x)) (* (* (sin (/ eps 2)) -2) (* (cos x) (sin (/ eps 2))))) (* (* (sin (/ eps 2)) -2) (cos (/ eps 2))) (* (sin (/ eps 2)) -2) (sin (/ eps 2)) (/ eps 2) eps 2 -2 (cos (/ eps 2)) (sin x) x (* (* (sin (/ eps 2)) -2) (* (cos x) (sin (/ eps 2)))) (* (cos x) (sin (/ eps 2))) (cos x) (* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2))) (* -1 (* eps x)) -1 (* eps x) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) 1 (* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) (* (sin (/ (- eps 0) 2)) -2) (* -1 eps) (sin (/ (+ (* x 2) eps) 2)) (/ (+ (* x 2) eps) 2) (* x (+ 1 (* 1/2 (/ eps x)))) (+ 1 (* 1/2 (/ eps x))) (* 1/2 (/ eps x)) 1/2 (/ eps x) (* (* (sin (/ eps 2)) -2) (sin (+ (/ eps 2) x))) (sin (+ (/ eps 2) x)) (+ (/ eps 2) x))
5.0ms	x	@	inf	((+ (* (* (* (sin (/ eps 2)) -2) (cos (/ eps 2))) (sin x)) (* (* (sin (/ eps 2)) -2) (* (cos x) (sin (/ eps 2))))) (* (* (sin (/ eps 2)) -2) (cos (/ eps 2))) (* (sin (/ eps 2)) -2) (sin (/ eps 2)) (/ eps 2) eps 2 -2 (cos (/ eps 2)) (sin x) x (* (* (sin (/ eps 2)) -2) (* (cos x) (sin (/ eps 2)))) (* (cos x) (sin (/ eps 2))) (cos x) (* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2))) (* -1 (* eps x)) -1 (* eps x) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) 1 (* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) (* (sin (/ (- eps 0) 2)) -2) (* -1 eps) (sin (/ (+ (* x 2) eps) 2)) (/ (+ (* x 2) eps) 2) (* x (+ 1 (* 1/2 (/ eps x)))) (+ 1 (* 1/2 (/ eps x))) (* 1/2 (/ eps x)) 1/2 (/ eps x) (* (* (sin (/ eps 2)) -2) (sin (+ (/ eps 2) x))) (sin (+ (/ eps 2) x)) (+ (/ eps 2) x))
4.0ms	x	@	0	((+ (* (* (* (sin (/ eps 2)) -2) (cos (/ eps 2))) (sin x)) (* (* (sin (/ eps 2)) -2) (* (cos x) (sin (/ eps 2))))) (* (* (sin (/ eps 2)) -2) (cos (/ eps 2))) (* (sin (/ eps 2)) -2) (sin (/ eps 2)) (/ eps 2) eps 2 -2 (cos (/ eps 2)) (sin x) x (* (* (sin (/ eps 2)) -2) (* (cos x) (sin (/ eps 2)))) (* (cos x) (sin (/ eps 2))) (cos x) (* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2))) (* -1 (* eps x)) -1 (* eps x) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) 1 (* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) (* (sin (/ (- eps 0) 2)) -2) (* -1 eps) (sin (/ (+ (* x 2) eps) 2)) (/ (+ (* x 2) eps) 2) (* x (+ 1 (* 1/2 (/ eps x)))) (+ 1 (* 1/2 (/ eps x))) (* 1/2 (/ eps x)) 1/2 (/ eps x) (* (* (sin (/ eps 2)) -2) (sin (+ (/ eps 2) x))) (sin (+ (/ eps 2) x)) (+ (/ eps 2) x))

rewrite1.1s (9%)

Memory

-71.3MiB live, 529.9MiB allocated; 958ms collecting garbage

Counts

37 → 416

Calls

Call 1

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

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

eval79.0ms (0.6%)

Memory: 25.0MiB live, 112.5MiB allocated; 21ms collecting garbage
Compiler: Compiled 6 149 to 2 443 computations (60.3% saved)

prune74.0ms (0.6%)

Memory

-33.1MiB live, 65.7MiB allocated; 32ms collecting garbage

Pruning

30 alts after pruning (26 fresh and 4 done)

	Pruned	Kept	Total
New	521	8	529
Fresh	3	18	21
Picked	4	1	5
Done	0	3	3
Total	528	30	558

Accuracy

100.0%

Counts

558 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.6%	(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
	98.8%	(fma.f64 #s(approx (* (* (sin (/ eps 2)) -2) (cos (/ eps 2))) (.f64 #s(literal -1 binary64) eps)) (sin.f64 x) (.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) #s(literal -2 binary64)) (.f64 (cos.f64 x) (sin.f64 (/.f64 eps #s(literal 2 binary64))))))
	53.6%	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	14.4%	(-.f64 (.f64 (cos.f64 (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (neg.f64 eps))) (-.f64 (.f64 (neg.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (cos.f64 x))))
✓	53.6%	(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
	51.6%	(-.f64 (sin.f64 (+.f64 (+.f64 x eps) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (cos x) #s(literal 1 binary64)))
	53.4%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 (-.f64 (PI.f64) x) (PI.f64))))
✓	53.5%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	51.9%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	51.6%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
	53.5%	(-.f64 #s(approx (sin (- (neg eps) (- x (/ (PI) 2)))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 eps x)))) (cos.f64 x))
	98.6%	(.f64 #s(approx ( (sin (/ (- eps 0) 2)) -2) (*.f64 #s(literal -1 binary64) eps)) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
	98.6%	(.f64 #s(approx ( (sin (/ (- eps 0) 2)) -2) (.f64 #s(literal -1 binary64) eps)) (sin.f64 #s(approx (/ (+ ( x 2) eps) 2) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))))
	98.5%	(.f64 #s(approx ( (sin (/ (- eps 0) 2)) -2) (neg.f64 eps)) (sin.f64 #s(approx (/ (+ (* x 2) eps) 2) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x)))))))
	99.1%	(.f64 #s(approx ( (sin (/ eps 2)) -2) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))) (sin.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x)))
	98.6%	(.f64 #s(approx ( (sin (/ eps 2)) -2) (neg.f64 eps)) (sin.f64 #s(approx (+ (/ eps 2) x) (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))))
✓	51.5%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
	51.5%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64)))
	98.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
	78.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x))))
	53.0%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
	98.1%	#s(approx (+ (* (* (* (sin (/ eps 2)) -2) (cos (/ eps 2))) (sin x)) (* (* (sin (/ eps 2)) -2) (* (cos x) (sin (/ eps 2))))) (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))))))
	99.8%	#s(approx (* (* (sin (/ (- eps 0) 2)) -2) (+ (* (sin x) (cos (/ eps 2))) (* (cos x) (sin (/ eps 2))))) (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (fma.f64 (cos.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x))))))
	97.3%	#s(approx (* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) (fma.f64 #s(literal -2 binary64) #s(approx (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (.f64 #s(literal 1/2 binary64) (.f64 eps x))) (.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))
	78.1%	#s(approx (* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) #s(approx (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2))) (*.f64 (neg.f64 x) eps)))
	97.4%	#s(approx (* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) #s(approx (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2))) (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) x))))))
	97.3%	#s(approx (* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) #s(approx (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2))) (.f64 eps (fma.f64 #s(literal -1 binary64) x (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal 1/24 binary64) eps (.f64 #s(literal 1/6 binary64) x))) #s(literal 1/2 binary64)))))))
	97.3%	#s(approx (* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) #s(approx (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2))) (.f64 eps (fma.f64 #s(literal -1 binary64) x (.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps x)) #s(literal 1/2 binary64)))))))
	97.4%	#s(approx (* (* (sin (/ (- eps 0) 2)) -2) (sin (/ (+ (* x 2) eps) 2))) #s(approx (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2))) (.f64 eps (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1/2 binary64) eps)))))
	99.7%	#s(approx (* (* (sin (/ eps 2)) -2) (sin (+ (/ eps 2) x))) (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (-.f64 x (.f64 #s(literal -1/2 binary64) eps))))))

Compiler

Compiled 1 251 to 866 computations (30.8% saved)

regimes42.0ms (0.3%)

Memory

18.9MiB live, 63.5MiB allocated; 8ms collecting garbage

Counts

52 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

15.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
13.0ms	x
12.0ms	eps

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes38.0ms (0.3%)

Memory

18.9MiB live, 63.5MiB allocated; 7ms collecting garbage

Counts

48 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

16.0ms	x
12.0ms	eps
9.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes44.0ms (0.4%)

Memory

-28.5MiB live, 72.8MiB allocated; 15ms collecting garbage

Counts

47 → 1

Calls

Call 1

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

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

Outputs

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

Calls

3 calls:

17.0ms	eps
13.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
11.0ms	x

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes37.0ms (0.3%)

Memory

8.1MiB live, 53.0MiB allocated; 6ms collecting garbage

Counts

46 → 1

Calls

Call 1

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

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

Outputs

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes38.0ms (0.3%)

Memory

11.7MiB live, 55.2MiB allocated; 8ms collecting garbage

Counts

45 → 1

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	x
11.0ms	eps
8.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes28.0ms (0.2%)

Memory

-8.7MiB live, 36.0MiB allocated; 6ms collecting garbage

Counts

32 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

11.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
8.0ms	x
8.0ms	eps

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes23.0ms (0.2%)

Memory

36.1MiB live, 36.1MiB allocated; 0ms collecting garbage

Counts

31 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

8.0ms	eps
8.0ms	x
6.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
99.1%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.1%	1	`x`
99.1%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes44.0ms (0.3%)

Memory

-41.2MiB live, 28.8MiB allocated; 33ms collecting garbage

Counts

22 → 1

Calls

Call 1

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

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

Calls

3 calls:

31.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
6.0ms	eps
6.0ms	x

Results

Accuracy	Segments	Branch
98.6%	1	`x`
98.6%	1	`eps`
98.6%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes9.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB allocated; 0ms collecting garbage

Counts

11 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.4%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
97.4%	1	`x`
97.4%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes8.0ms (0.1%)

Memory

-36.1MiB live, 10.4MiB allocated; 4ms collecting garbage

Accuracy

Total -16.1b remaining (-114.6%)

Threshold costs -16.1b (-114.6%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

3 calls:

5.0ms	x
1.0ms	eps
1.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
78.1%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
78.1%	1	`x`
78.1%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

derivations2.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 166 to 102 computations (38.6% saved)

preprocess84.0ms (0.7%)

Memory: 17.2MiB live, 207.5MiB allocated; 26ms collecting garbage
Compiler: Compiled 200 to 133 computations (33.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze29.0ms (0.2%)

sample6.7s (53.5%)

preprocess39.0ms (0.3%)

series110.0ms (0.9%)

rewrite820.0ms (6.5%)

eval46.0ms (0.4%)

prune16.0ms (0.1%)

series421.0ms (3.3%)

rewrite711.0ms (5.6%)

eval57.0ms (0.4%)

prune100.0ms (0.8%)

series475.0ms (3.8%)

rewrite828.0ms (6.6%)

eval135.0ms (1.1%)

prune40.0ms (0.3%)

series358.0ms (2.8%)

rewrite1.1s (9%)

eval79.0ms (0.6%)

prune74.0ms (0.6%)

regimes42.0ms (0.3%)

regimes38.0ms (0.3%)

regimes44.0ms (0.4%)

regimes37.0ms (0.3%)

regimes38.0ms (0.3%)

regimes28.0ms (0.2%)

regimes23.0ms (0.2%)

regimes44.0ms (0.3%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

derivations2.0ms (0%)

preprocess84.0ms (0.7%)

end0.0ms (0%)

Profiling