Metrics for 2cos (problem 3.3.5)

start0.0ms (0.0%)

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

analyze33.0ms (0.4%)

Memory

-11.9MiB live, 33.8MiB allocated; 7ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample6.1s (78.7%)

Memory

140.6MiB live, 5 470.6MiB allocated; 2.3s collecting garbage

Samples

2.7s	5 746×	2	valid
1.8s	25 922×	0	invalid
314.0ms	2 447×	1	valid
15.0ms	63×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.8s

ival-cos: 2.6s (68.2% of total)

adjust: 339.0ms (9.0% of total)

ival-fabs: 262.0ms (6.9% of total)

ival-mult!: 145.0ms (3.8% of total)

ival-<: 129.0ms (3.4% of total)

ival-add!: 126.0ms (3.3% of total)

ival-sub!: 120.0ms (3.2% of total)

ival-and: 67.0ms (1.8% of total)

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

Bogosity

preprocess25.0ms (0.3%)

Memory

21.9MiB live, 21.9MiB allocated; 0ms 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
▶	48.4%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs

Outputs

series73.0ms (0.9%)

Memory

-99.4MiB live, 15.2MiB allocated; 102ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	506

Stop Event

1×	iter-limit

Counts

6 → 33

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
61.0ms	eps	inf
1.0ms	x	0
1.0ms	eps	-inf
1.0ms	x	-inf
1.0ms	eps	0

rewrite112.0ms (1.5%)

Memory

22.5MiB live, 114.5MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 230

Calls

Call 1

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

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

eval32.0ms (0.4%)

Memory: -13.0MiB live, 32.5MiB allocated; 5ms collecting garbage
Compiler: Compiled 5 792 to 1 321 computations (77.2% saved)

prune13.0ms (0.2%)

Memory

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

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	245	14	259
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	245	15	260

Accuracy

99.8%

Counts

260 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.6%	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (cos.f64 x))
	48.6%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	48.4%	(-.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) eps)) (cos.f64 x))
	48.4%	(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
✓	48.4%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
▶	47.3%	(-.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))))))
	47.2%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
	79.2%	(.f64 (.f64 (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
▶	48.8%	(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))))
	5.4%	(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (+.f64 eps x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (neg.f64 x) (PI.f64)) (+.f64 eps x)) #s(literal 2 binary64)))))
▶	47.1%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
▶	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x))))
	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x))))) (sin.f64 x))))
▶	99.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
	77.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x))))

Compiler

Compiled 503 to 356 computations (29.2% saved)

sample0.0ms (0.0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Calls

Call 1

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

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

Samples

0.0ms

1×

valid

Compiler

Compiled 9 to 9 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series66.0ms (0.9%)

Memory

2.3MiB live, 58.7MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	840	6002

Stop Event

1×	iter-limit

Counts

46 → 201

Calls

Call 1

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

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (.f64 #s(literal -1 binary64) (.f64 x (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))) (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (.f64 #s(literal 1/6 binary64) (.f64 x (sin.f64 eps)))))) (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (fma.f64 eps (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (fma.f64 x (fma.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (fma.f64 x (fma.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 x (fma.f64 eps (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal 1 binary64)))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) #s(literal 1 binary64)))))
#s(approx (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x) (.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))
#s(approx (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/36 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x) (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (-.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 eps x))) #s(literal 1/2 binary64)))
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (-.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/6 binary64) eps (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) #s(literal 1/2 binary64)))
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (-.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/6 binary64) eps (.f64 x (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/36 binary64) (.f64 eps x) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))))) #s(literal 1/2 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx x x)
#s(approx (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))) (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 eps x))))
#s(approx (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/48 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 #s(literal 1/6 binary64) eps)))))
#s(approx (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/6 binary64) eps (.f64 x (fma.f64 #s(literal -1/36 binary64) (.f64 eps x) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))
#s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 #s(literal 1/24 binary64) eps))
#s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x)))
#s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 eps x))))))
#s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps)))))))
#s(approx (* 1/24 (* eps (cos x))) (fma.f64 #s(literal -1/48 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) eps)))
#s(approx (* 1/24 (* eps (cos x))) (fma.f64 #s(literal 1/24 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) eps (.f64 #s(literal 1/576 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* 1/24 (* eps (cos x))) (fma.f64 #s(literal 1/24 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/17280 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/576 binary64) eps)))))))
#s(approx (* eps (cos x)) eps)
#s(approx (* eps (cos x)) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* eps (cos x)) (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/24 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* eps (cos x)) (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) eps)))))))
#s(approx (* -1/6 (sin x)) (*.f64 #s(literal -1/6 binary64) x))
#s(approx (* -1/6 (sin x)) (.f64 x (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))
#s(approx (* -1/6 (sin x)) (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))
#s(approx (* -1/6 (sin x)) (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/36 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/30240 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/720 binary64))))) #s(literal 1/6 binary64))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (cos (+ x eps)) (cos.f64 eps))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 eps) (.f64 #s(literal -1 binary64) (.f64 x (sin.f64 eps)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 eps))) (sin.f64 eps)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (.f64 #s(literal 1/6 binary64) (.f64 x (sin.f64 eps))))) (sin.f64 eps)))))
#s(approx (+ x eps) (+.f64 eps x))
#s(approx (* -1/2 (pow x 2)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (.f64 eps x) (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 eps x) (.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
#s(approx (* -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) eps)))))
#s(approx (* -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) eps (.f64 #s(literal 1/1440 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (* 2 (* (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* 2 (* (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)))) (fma.f64 #s(literal -2 binary64) (.f64 x (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))
#s(approx (* 2 (* (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)))) (fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))) (.f64 #s(literal -1 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))))))
#s(approx (* 2 (* (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)))) (fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))) (.f64 x (fma.f64 #s(literal -1 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))))))))))
#s(approx (* (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2))) (fma.f64 #s(literal -1 binary64) (.f64 x (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2))) (fma.f64 x (fma.f64 #s(literal -1 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))) (.f64 #s(literal -1/2 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2))) (fma.f64 x (fma.f64 #s(literal -1 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))))))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (+ (* (PI) 1/2) (+ eps x)) (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (+ (* (PI) 1/2) (+ eps x)) (+.f64 eps (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* (PI) 1/2) x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (+ (* (PI) 1/2) x) (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))
#s(approx (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (.f64 #s(literal -1 binary64) (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))))))
#s(approx (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))))))
#s(approx (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (.f64 #s(literal 1/6 binary64) (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))))) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))))))
#s(approx (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2) (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))
#s(approx (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2) (+.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))
#s(approx (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) (+.f64 eps (PI.f64)))
#s(approx (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))
#s(approx (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))))
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (.f64 #s(literal -1/6 binary64) (sin.f64 x))))))
#s(approx (cos x) (cos.f64 x))
#s(approx (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (.f64 #s(literal -1/6 binary64) (sin.f64 x)))))
#s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x))))
#s(approx (* 1/24 (* eps (cos x))) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))))
#s(approx (* eps (cos x)) (*.f64 eps (cos.f64 x)))
#s(approx (* -1/6 (sin x)) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))
#s(approx (sin x) (sin.f64 x))
#s(approx (cos (+ x eps)) (cos.f64 (+.f64 eps x)))
#s(approx (+ x eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (+ 1 (* -1/2 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))) (sin.f64 x)))
#s(approx (* -1/2 (* eps (cos x))) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))))
#s(approx (* 2 (* (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (+ (* (PI) 1/2) (+ eps x)) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (/.f64 eps x)))))
#s(approx (+ (* (PI) 1/2) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x)))))
#s(approx (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))))
#s(approx (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 eps (PI.f64)) x)))))
#s(approx (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) (*.f64 x (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 eps x) (/.f64 (PI.f64) x)))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 x)))
#s(approx (cos (+ x eps)) (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))))
#s(approx (+ x eps) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (* 2 (* (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 eps (PI.f64)) (.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 eps (PI.f64)) (.f64 #s(literal -2 binary64) x)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (+ (* (PI) 1/2) (+ eps x)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64))) x)) #s(literal 1 binary64)))))
#s(approx (+ (* (PI) 1/2) x) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) x)) #s(literal 1 binary64)))))
#s(approx (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 eps (PI.f64)) (.f64 #s(literal -2 binary64) x)))))
#s(approx (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 eps (PI.f64)) x)) #s(literal 1 binary64)))))
#s(approx (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 eps (PI.f64)) x)) #s(literal 2 binary64)))))
#s(approx (- (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 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 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x))))))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (-.f64 (.f64 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 (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))
#s(approx (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))))
#s(approx (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))))))
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x)))))
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))))
#s(approx (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x))))
#s(approx (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))) (.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))
#s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
#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 (* 2 (* (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)))) (.f64 eps (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) x))))))
#s(approx (* 2 (* (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)))) (.f64 eps (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) x)))))))))
#s(approx (* 2 (* (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)))) (.f64 eps (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 eps (fma.f64 #s(literal -1/16 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 #s(literal -1/48 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) x)))))))))))))
#s(approx (* 2 (* (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)))) (.f64 eps (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/16 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 #s(literal -1/48 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))))))))))))
#s(approx (* (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2))) (.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))))))
#s(approx (* (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2))) (.f64 eps (fma.f64 #s(literal -1/4 binary64) (.f64 eps (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) x))))))))
#s(approx (* (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2))) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 eps (fma.f64 #s(literal -1/4 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 eps (fma.f64 #s(literal -1/16 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 #s(literal -1/48 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))))))))))
#s(approx (* (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2))) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 eps (fma.f64 #s(literal -1/4 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 eps (fma.f64 #s(literal -1/16 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (fma.f64 #s(literal -1/48 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 #s(literal 1/48 binary64) (.f64 eps (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) x))))))))))))))
#s(approx (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))))))
#s(approx (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3840 binary64) (.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/48 binary64))))))
#s(approx (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))))
#s(approx (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))))))
#s(approx (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 eps (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))))))))
#s(approx (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 #s(literal 1/48 binary64) (.f64 eps (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))))))) (.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) x)))))))))
#s(approx (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2) (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))
#s(approx (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2) (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))))
#s(approx (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) x)))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 eps #s(literal 4 binary64)) (cos.f64 x))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps)))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps))))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps)))))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (cos.f64 x))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps)))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) eps)))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) (cos.f64 x)))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) eps)))))
#s(approx (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps))))))
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps)))))
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) eps)))))
#s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (.f64 eps (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps)))))
#s(approx (+ x eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
#s(approx (+ (* (PI) 1/2) (+ eps x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) eps) (/.f64 x eps)))))
#s(approx (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) x)) eps)))))
#s(approx (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) (/.f64 (PI.f64) eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x)))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) eps))) eps) (*.f64 #s(literal 1/24 binary64) (cos.f64 x)))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (.f64 #s(literal -1/6 binary64) (sin.f64 x))) eps) (.f64 #s(literal 1/24 binary64) (cos.f64 x)))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/24 binary64) (cos.f64 x))))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps) (.f64 #s(literal -1/24 binary64) (cos.f64 x))))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) eps) (.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps) (.f64 #s(literal -1/24 binary64) (cos.f64 x))))))
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) eps))) eps) (*.f64 #s(literal 1/24 binary64) (cos.f64 x)))))
#s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/24 binary64) (cos.f64 x))))))
#s(approx (cos (+ x eps)) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))))
#s(approx (+ x eps) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)))))
#s(approx (* 2 (* (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal -1 binary64) eps)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (+ (* (PI) 1/2) (+ eps x)) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64))) eps)) #s(literal 1 binary64)))))
#s(approx (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal -1 binary64) eps)))))
#s(approx (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)) eps)) #s(literal 1/2 binary64)))))
#s(approx (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)) eps)) #s(literal 1 binary64)))))

Calls

6 calls:

Time	Variable	Point
11.0ms	x	-inf
7.0ms	x	0
5.0ms	x	inf
5.0ms	eps	inf
5.0ms	eps	0

rewrite143.0ms (1.9%)

Memory

-31.6MiB live, 157.0MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	424
0	87	424
1	442	424
2	2090	424
0	4386	414

Stop Event

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

Counts

46 → 536

Calls

Call 1

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

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps)
(.f64 eps (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)))
(neg.f64 (.f64 (-.f64 (sin.f64 x) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps)) eps))
(neg.f64 (.f64 eps (-.f64 (sin.f64 x) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps))))
(fma.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) eps (*.f64 (neg.f64 (sin.f64 x)) eps))
(fma.f64 eps (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (.f64 eps (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps)) (.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) eps) (.f64 (neg.f64 (sin.f64 x)) eps))
eps
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 x)) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps))) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps))) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps)) (.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))) (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (neg.f64 (sin.f64 x))))
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x
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#s(literal 1 binary64)
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eval107.0ms (1.4%)

Memory: 24.7MiB live, 114.8MiB allocated; 11ms collecting garbage
Compiler: Compiled 28 739 to 4 352 computations (84.9% saved)

prune31.0ms (0.4%)

Memory

4.9MiB live, 51.4MiB allocated; 2ms collecting garbage

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	708	18	726
Fresh	3	6	9
Picked	4	1	5
Done	0	1	1
Total	715	26	741

Accuracy

100.0%

Counts

741 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.6%	(fma.f64 (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x)) x))))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x)) x)))))) #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x)) x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 1/2 binary64)))))
	48.6%	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (cos.f64 x))
	48.6%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	48.4%	(-.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) eps)) (cos.f64 x))
▶	48.4%	(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
✓	48.4%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
▶	47.2%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
	79.2%	(.f64 (.f64 (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
	48.8%	(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))) (cos.f64 #s(approx ( (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2) (+.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))))))
	12.0%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (cos.f64 (*.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))))
	12.2%	(.f64 #s(literal 2 binary64) #s(approx ( (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 eps (PI.f64)) (.f64 #s(literal -2 binary64) x)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
▶	99.1%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps (*.f64 (neg.f64 (sin.f64 x)) eps)))
	47.1%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64)))
▶	99.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps #s(approx (- ( 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps)))))))))) (sin.f64 x))))
	98.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 x))))
✓	99.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
	98.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) (sin.f64 x))))
	98.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 #s(approx ( -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))) (sin.f64 x))))
	77.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))))
	97.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))))
	97.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))))
	97.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))))
▶	48.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))))
	97.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (fma.f64 eps (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
	26.6%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (.f64 #s(literal -1/6 binary64) (sin.f64 x))) eps) (.f64 #s(literal 1/24 binary64) (cos.f64 x))))))
	97.7%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (.f64 eps x) (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))

Compiler

Compiled 1 584 to 1 006 computations (36.5% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
-1/2
1
(PI)
1/2
1/24
1/6
-1/36
-1/48

Outputs
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(literal 884279719003555/281474976710656 binary64)
#s(literal 1/2 binary64)
#s(literal 6004799503160661/144115188075855872 binary64)
#s(literal 6004799503160661/36028797018963968 binary64)
#s(literal -2001599834386887/72057594037927936 binary64)
#s(literal -6004799503160661/288230376151711744 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 10 to 10 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series61.0ms (0.8%)

Memory

-20.4MiB live, 76.7MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	766	5036

Stop Event

1×	iter-limit

Counts

42 → 194

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps (*.f64 (neg.f64 (sin.f64 x)) eps)))
(fma.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps (*.f64 (neg.f64 (sin.f64 x)) eps))
(.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64))
(*.f64 (cos.f64 x) eps)
(cos.f64 x)
x
eps
#s(literal -1/2 binary64)
(*.f64 (neg.f64 (sin.f64 x)) eps)
(neg.f64 (sin.f64 x))
(sin.f64 x)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))))
(.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))
(*.f64 #s(literal -1/2 binary64) eps)
(-.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 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) x)
(PI.f64)
#s(literal 1/2 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps #s(approx (- ( 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps)))))))))) (sin.f64 x))))
(.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps #s(approx (- ( 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps)))))))))) (sin.f64 x)))
(-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps)))))))))) (sin.f64 x))
(.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps))))))))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps #s(approx (- ( 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps)))))))))
(.f64 eps #s(approx (- ( 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps))))))))
#s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps)))))))
(fma.f64 #s(literal 1/24 binary64) eps (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps))))))
#s(literal 1/24 binary64)
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps)))))
(+.f64 #s(literal 1/6 binary64) (.f64 x (fma.f64 #s(literal -1/36 binary64) x (.f64 #s(literal -1/48 binary64) eps))))
#s(literal 1/6 binary64)
(.f64 x (fma.f64 #s(literal -1/36 binary64) x (.f64 #s(literal -1/48 binary64) eps)))
(fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps))
#s(literal -1/36 binary64)
(*.f64 #s(literal -1/48 binary64) eps)
#s(literal -1/48 binary64)

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (.f64 #s(literal -1 binary64) (.f64 x (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))) (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (.f64 #s(literal 1/6 binary64) (.f64 x (sin.f64 eps)))))) (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (+ (* (* (* (cos x) eps) -1/2) eps) (* (neg (sin x)) eps)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (+ (* (* (* (cos x) eps) -1/2) eps) (* (neg (sin x)) eps)) (fma.f64 #s(literal -1 binary64) (.f64 eps x) (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (+ (* (* (* (cos x) eps) -1/2) eps) (* (neg (sin x)) eps)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
#s(approx (+ (* (* (* (cos x) eps) -1/2) eps) (* (neg (sin x)) eps)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 eps x) (.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))
#s(approx (* (* (cos x) eps) -1/2) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (* (* (cos x) eps) -1/2) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (* (cos x) eps) -1/2) (fma.f64 #s(literal -1/2 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) eps)))))
#s(approx (* (* (cos x) eps) -1/2) (fma.f64 #s(literal -1/2 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) eps (.f64 #s(literal 1/1440 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (* (cos x) eps) eps)
#s(approx (* (cos x) eps) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (cos x) eps) (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/24 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* (cos x) eps) (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) eps)))))))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx x x)
#s(approx (* (neg (sin x)) eps) (.f64 #s(literal -1 binary64) (.f64 eps x)))
#s(approx (* (neg (sin x)) eps) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (neg (sin x)) eps) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/6 binary64) eps))))))
#s(approx (* (neg (sin x)) eps) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) eps (.f64 #s(literal 1/5040 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))))
#s(approx (neg (sin x)) (*.f64 #s(literal -1 binary64) x))
#s(approx (neg (sin x)) (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (neg (sin x)) (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))))
#s(approx (neg (sin x)) (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/120 binary64))))) #s(literal 1 binary64))))
#s(approx (sin x) (.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 (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
#s(approx (cos (+ x eps)) (cos.f64 eps))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 eps) (.f64 #s(literal -1 binary64) (.f64 x (sin.f64 eps)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 eps))) (sin.f64 eps)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (.f64 #s(literal 1/6 binary64) (.f64 x (sin.f64 eps))))) (sin.f64 eps)))))
#s(approx (+ x eps) (+.f64 eps x))
#s(approx (- (cos (+ x eps)) (sin (+ (* (PI) 1/2) x))) (-.f64 (cos.f64 eps) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (- (cos (+ x eps)) (sin (+ (* (PI) 1/2) x))) (-.f64 (+.f64 (cos.f64 eps) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 eps))))) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (- (cos (+ x eps)) (sin (+ (* (PI) 1/2) x))) (-.f64 (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 eps)) (.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 eps))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (- (cos (+ x eps)) (sin (+ (* (PI) 1/2) x))) (-.f64 (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1/6 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1/6 binary64) (sin.f64 eps)))) (.f64 #s(literal -1/2 binary64) (cos.f64 eps))) (.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 eps))))) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (sin (+ (* (PI) 1/2) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (sin (+ (* (PI) 1/2) x)) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (sin (+ (* (PI) 1/2) x)) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1/2 binary64) (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))))))
#s(approx (sin (+ (* (PI) 1/2) x)) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1/6 binary64) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))))))))
#s(approx (+ (* (PI) 1/2) x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (+ (* (PI) 1/2) x) (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (fma.f64 eps (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (fma.f64 x (fma.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (fma.f64 x (fma.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 x (fma.f64 eps (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal 1 binary64)))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) #s(literal 1 binary64)))))
#s(approx (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x) (.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))
#s(approx (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/36 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x) (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (-.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 eps x))) #s(literal 1/2 binary64)))
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (-.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/6 binary64) eps (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) #s(literal 1/2 binary64)))
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (-.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/6 binary64) eps (.f64 x (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/36 binary64) (.f64 eps x) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))))) #s(literal 1/2 binary64)))
#s(approx (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))) (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 eps x))))
#s(approx (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/48 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 #s(literal 1/6 binary64) eps)))))
#s(approx (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/6 binary64) eps (.f64 x (fma.f64 #s(literal -1/36 binary64) (.f64 eps x) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))
#s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 #s(literal 1/24 binary64) eps))
#s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x)))
#s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 eps x))))))
#s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps)))))))
#s(approx (* x (+ 1/6 (* x (+ (* -1/36 x) (* -1/48 eps))))) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (* x (+ 1/6 (* x (+ (* -1/36 x) (* -1/48 eps))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 eps x)))))
#s(approx (* x (+ 1/6 (* x (+ (* -1/36 x) (* -1/48 eps))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps))))))
#s(approx (+ 1/6 (* x (+ (* -1/36 x) (* -1/48 eps)))) #s(literal 1/6 binary64))
#s(approx (+ 1/6 (* x (+ (* -1/36 x) (* -1/48 eps)))) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps x))))
#s(approx (+ 1/6 (* x (+ (* -1/36 x) (* -1/48 eps)))) (+.f64 #s(literal 1/6 binary64) (.f64 x (fma.f64 #s(literal -1/36 binary64) x (.f64 #s(literal -1/48 binary64) eps)))))
#s(approx (* x (+ (* -1/36 x) (* -1/48 eps))) (.f64 #s(literal -1/48 binary64) (.f64 eps x)))
#s(approx (* x (+ (* -1/36 x) (* -1/48 eps))) (.f64 x (fma.f64 #s(literal -1/36 binary64) x (.f64 #s(literal -1/48 binary64) eps))))
#s(approx (+ (* -1/36 x) (* -1/48 eps)) (*.f64 #s(literal -1/48 binary64) eps))
#s(approx (+ (* -1/36 x) (* -1/48 eps)) (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (+ (* (* (* (cos x) eps) -1/2) eps) (* (neg (sin x)) eps)) (fma.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))))
#s(approx (* (* (cos x) eps) -1/2) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))))
#s(approx (* (cos x) eps) (*.f64 eps (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (* (neg (sin x)) eps) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x))))
#s(approx (neg (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))
#s(approx (sin x) (sin.f64 x))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))) (sin.f64 x)))
#s(approx (cos (+ x eps)) (cos.f64 (+.f64 eps x)))
#s(approx (+ x eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (- (cos (+ x eps)) (sin (+ (* (PI) 1/2) x))) (-.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (sin (+ (* (PI) 1/2) x)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* (PI) 1/2) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x)))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))
#s(approx (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))))
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (.f64 #s(literal -1/6 binary64) (sin.f64 x))))))
#s(approx (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (.f64 #s(literal -1/6 binary64) (sin.f64 x)))))
#s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x))))
#s(approx (+ (* 1/24 eps) (* x (+ 1/6 (* x (+ (* -1/36 x) (* -1/48 eps)))))) (*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* 1/24 eps) (* x (+ 1/6 (* x (+ (* -1/36 x) (* -1/48 eps)))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1/48 binary64) (/.f64 eps x)) #s(literal 1/36 binary64))))
#s(approx (+ (* 1/24 eps) (* x (+ 1/6 (* x (+ (* -1/36 x) (* -1/48 eps)))))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 eps x) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/36 binary64))))
#s(approx (+ (* 1/24 eps) (* x (+ 1/6 (* x (+ (* -1/36 x) (* -1/48 eps)))))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 eps x) (fma.f64 #s(literal 1/24 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/36 binary64))))
#s(approx (+ 1/6 (* x (+ (* -1/36 x) (* -1/48 eps)))) (*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ 1/6 (* x (+ (* -1/36 x) (* -1/48 eps)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/48 binary64) (/.f64 eps x)) #s(literal 1/36 binary64))))
#s(approx (+ 1/6 (* x (+ (* -1/36 x) (* -1/48 eps)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 eps x) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/36 binary64))))
#s(approx (+ (* -1/36 x) (* -1/48 eps)) (*.f64 #s(literal -1/36 binary64) x))
#s(approx (+ (* -1/36 x) (* -1/48 eps)) (.f64 x (-.f64 (.f64 #s(literal -1/48 binary64) (/.f64 eps x)) #s(literal 1/36 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)) (sin (+ (* (PI) 1/2) x))) (-.f64 (cos.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x))) (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -1 binary64) x)))))
#s(approx (sin (+ (* (PI) 1/2) x)) (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal -1 binary64) x))))
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#s(approx (cos (+ x eps)) (+.f64 (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))))
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#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (cos.f64 x))))
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#s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))))
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#s(approx (+ (* 1/24 eps) (* x (+ 1/6 (* x (+ (* -1/36 x) (* -1/48 eps)))))) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
#s(approx (+ (* 1/24 eps) (* x (+ 1/6 (* x (+ (* -1/36 x) (* -1/48 eps)))))) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 2 binary64))))) eps) (*.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))))
#s(approx (* x (+ 1/6 (* x (+ (* -1/36 x) (* -1/48 eps))))) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 2 binary64))))) eps) (*.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ 1/6 (* x (+ (* -1/36 x) (* -1/48 eps)))) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 2 binary64)))) eps) (.f64 #s(literal 1/48 binary64) x)))))
#s(approx (* x (+ (* -1/36 x) (* -1/48 eps))) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal 1/48 binary64) x (*.f64 #s(literal 1/36 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))))
#s(approx (+ (* -1/36 x) (* -1/48 eps)) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 1/36 binary64) (/.f64 x eps))))))

Calls

6 calls:

Time	Variable	Point
8.0ms	x	inf
7.0ms	x	-inf
4.0ms	eps	-inf
4.0ms	eps	inf
4.0ms	eps	0

rewrite129.0ms (1.7%)

Memory

29.2MiB live, 122.5MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	463
0	89	456
1	439	453
2	1927	453
0	4041	436

Stop Event

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

Counts

42 → 501

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps (*.f64 (neg.f64 (sin.f64 x)) eps)))
(fma.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps (*.f64 (neg.f64 (sin.f64 x)) eps))
(.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64))
(*.f64 (cos.f64 x) eps)
(cos.f64 x)
x
eps
#s(literal -1/2 binary64)
(*.f64 (neg.f64 (sin.f64 x)) eps)
(neg.f64 (sin.f64 x))
(sin.f64 x)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))))
(.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))
(*.f64 #s(literal -1/2 binary64) eps)
(-.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 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) x)
(PI.f64)
#s(literal 1/2 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps #s(approx (- ( 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps)))))))))) (sin.f64 x))))
(.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps #s(approx (- ( 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps)))))))))) (sin.f64 x)))
(-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps)))))))))) (sin.f64 x))
(.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps))))))))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps #s(approx (- ( 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps)))))))))
(.f64 eps #s(approx (- ( 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps))))))))
#s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps)))))))
(fma.f64 #s(literal 1/24 binary64) eps (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps))))))
#s(literal 1/24 binary64)
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps)))))
(+.f64 #s(literal 1/6 binary64) (.f64 x (fma.f64 #s(literal -1/36 binary64) x (.f64 #s(literal -1/48 binary64) eps))))
#s(literal 1/6 binary64)
(.f64 x (fma.f64 #s(literal -1/36 binary64) x (.f64 #s(literal -1/48 binary64) eps)))
(fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps))
#s(literal -1/36 binary64)
(*.f64 #s(literal -1/48 binary64) eps)
#s(literal -1/48 binary64)

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps) (.f64 (sin.f64 x) (neg.f64 eps)))) (.f64 (sin.f64 x) (neg.f64 eps)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (sin.f64 x) eps) (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps))) (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps))) (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps))
(.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps)
(.f64 eps (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (sin.f64 x) (neg.f64 eps))) (.f64 (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps) (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps))) (-.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps) (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps)) (.f64 (.f64 (sin.f64 x) eps) (.f64 (sin.f64 x) eps))) (+.f64 (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps) (.f64 (sin.f64 x) eps)))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (neg.f64 eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (.f64 (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps) (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps)) (.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps) (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps) (fma.f64 (.f64 (sin.f64 x) eps) (.f64 (sin.f64 x) eps) (.f64 (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps) (*.f64 (sin.f64 x) eps)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps) (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps)) (.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (sin.f64 x) (neg.f64 eps)))) (-.f64 (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps) (.f64 (sin.f64 x) (neg.f64 eps))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) (neg.f64 eps)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps) (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps) (-.f64 (.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (sin.f64 x) (neg.f64 eps))) (.f64 (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps) (.f64 (sin.f64 x) (neg.f64 eps))))))
(neg.f64 (.f64 eps (-.f64 (sin.f64 x) (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)))))
(neg.f64 (-.f64 (.f64 (sin.f64 x) eps) (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps)))
(fma.f64 (.f64 eps (.f64 (cos.f64 x) eps)) #s(literal -1/2 binary64) (*.f64 (sin.f64 x) (neg.f64 eps)))
(fma.f64 (.f64 (.f64 (cos.f64 x) eps) eps) #s(literal -1/2 binary64) (*.f64 (sin.f64 x) (neg.f64 eps)))
(fma.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) eps)) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 eps)))
(fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 (cos.f64 x) eps) (*.f64 (sin.f64 x) (neg.f64 eps)))
(fma.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps (*.f64 (sin.f64 x) (neg.f64 eps)))
(fma.f64 (.f64 (cos.f64 x) eps) (.f64 #s(literal -1/2 binary64) eps) (*.f64 (sin.f64 x) (neg.f64 eps)))
(fma.f64 (neg.f64 (sin.f64 x)) eps (.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps))
(fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps))
(fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (cos.f64 x) eps) eps) (*.f64 (sin.f64 x) (neg.f64 eps)))
(fma.f64 (cos.f64 x) (.f64 (.f64 #s(literal -1/2 binary64) eps) eps) (*.f64 (sin.f64 x) (neg.f64 eps)))
(fma.f64 (cos.f64 x) (.f64 eps (.f64 #s(literal -1/2 binary64) eps)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(fma.f64 eps (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(fma.f64 eps (neg.f64 (sin.f64 x)) (.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps))
(-.f64 (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps) (.f64 (sin.f64 x) eps))
(-.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (neg.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64))) eps))
(-.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (neg.f64 (.f64 (cos.f64 x) eps)) (.f64 #s(literal -1/2 binary64) eps)))
(-.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (neg.f64 eps) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64))))
(-.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (neg.f64 (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps)))
(+.f64 (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps) (.f64 (sin.f64 x) (neg.f64 eps)))
(+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps))
(.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps)
(.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x))
(.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64))
(.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 x) eps))
(.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) eps))
(.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 x)))) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 x))) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 x)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 x)))) (-.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 x)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 x)) (-.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 x)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 x))) (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 x)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 x))))))
(sin.f64 (+.f64 (fabs.f64 x) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (+.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))
(fma.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 x) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 x)))
(fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 x) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 x)))
(fma.f64 (sin.f64 x) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 x)))
(-.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 x)) (.f64 (neg.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 x)))
(-.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 x)) (neg.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 x))))
(-.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 x)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (neg.f64 (sin.f64 x))))
(cos.f64 (neg.f64 (fabs.f64 x)))
(cos.f64 (fabs.f64 (fabs.f64 x)))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (fabs.f64 x))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 x)))
(+.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 x)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 x)))
x
eps
#s(literal -1/2 binary64)
(*.f64 (neg.f64 (sin.f64 x)) eps)
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 eps (neg.f64 (sin.f64 x)))
(neg.f64 (*.f64 (sin.f64 x) eps))
(neg.f64 (sin.f64 x))
(sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (neg.f64 x))
(sin.f64 (+.f64 (PI.f64) x))
(fma.f64 (sin.f64 x) (cos.f64 (PI.f64)) (*.f64 (cos.f64 x) (sin.f64 (PI.f64))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
(cos.f64 (fabs.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))
(cos.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))
(+.f64 (.f64 (sin.f64 x) (cos.f64 (PI.f64))) (.f64 (cos.f64 x) (sin.f64 (PI.f64))))
(neg.f64 (neg.f64 (sin.f64 x)))
(sin.f64 (neg.f64 (neg.f64 x)))
(sin.f64 (neg.f64 (+.f64 (PI.f64) x)))
(sin.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))
(sin.f64 (+.f64 (neg.f64 x) (PI.f64)))
(sin.f64 x)
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(-.f64 (.f64 #s(literal -1/36 binary64) x) (.f64 #s(literal 1/48 binary64) eps))
(-.f64 (.f64 #s(literal -1/48 binary64) eps) (.f64 #s(literal 1/36 binary64) x))
(-.f64 (.f64 #s(literal -1/48 binary64) eps) (.f64 (neg.f64 x) #s(literal -1/36 binary64)))
(-.f64 (.f64 #s(literal -1/48 binary64) eps) (neg.f64 (.f64 #s(literal -1/36 binary64) x)))
(+.f64 (.f64 #s(literal -1/36 binary64) x) (neg.f64 (.f64 #s(literal 1/48 binary64) eps)))
(+.f64 (.f64 #s(literal -1/36 binary64) x) (.f64 #s(literal -1/48 binary64) eps))
(+.f64 (.f64 #s(literal -1/48 binary64) eps) (.f64 #s(literal -1/36 binary64) x))
#s(literal -1/36 binary64)
(*.f64 #s(literal -1/48 binary64) eps)
(*.f64 eps #s(literal -1/48 binary64))
#s(literal -1/48 binary64)

eval114.0ms (1.5%)

Memory: -28.0MiB live, 156.3MiB allocated; 35ms collecting garbage
Compiler: Compiled 29 377 to 4 691 computations (84.0% saved)

prune34.0ms (0.4%)

Memory

-1.6MiB live, 53.3MiB allocated; 8ms collecting garbage

Pruning

27 alts after pruning (22 fresh and 5 done)

	Pruned	Kept	Total
New	731	5	736
Fresh	2	17	19
Picked	2	3	5
Done	0	2	2
Total	735	27	762

Accuracy

100.0%

Counts

762 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.6%	(fma.f64 (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x)) x))))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x)) x)))))) #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x)) x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 1/2 binary64)))))
	48.6%	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (cos.f64 x))
	48.6%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	48.4%	(-.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) eps)) (cos.f64 x))
✓	48.4%	(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
✓	48.4%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	47.2%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
	79.2%	(.f64 (.f64 (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
▶	48.8%	(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))) (cos.f64 #s(approx ( (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2) (+.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))))))
	12.0%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (cos.f64 (*.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))))
	12.2%	(.f64 #s(literal 2 binary64) #s(approx ( (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 eps (PI.f64)) (.f64 #s(literal -2 binary64) x)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
	98.4%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 #s(approx (* (* (cos x) eps) -1/2) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))) eps (*.f64 (neg.f64 (sin.f64 x)) eps)))
▶	99.1%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps) (.f64 (sin.f64 x) eps)))
	47.1%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64)))
	99.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) x (.f64 #s(literal -1/48 binary64) eps)) x #s(literal 1/6 binary64)) x))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
	54.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (sin.f64 x) eps) (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps))) (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps)))
	98.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 x))))
✓	99.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
	98.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) (sin.f64 x))))
	98.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 #s(approx ( -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))) (sin.f64 x))))
▶	77.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))))
	97.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))))
	97.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))))
▶	97.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))))
✓	48.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))))
	97.7%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* (* (cos x) eps) -1/2) eps) (* (neg (sin x)) eps)) (fma.f64 #s(literal -1 binary64) (.f64 eps x) (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
▶	97.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (fma.f64 eps (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))

Compiler

Compiled 1 546 to 975 computations (36.9% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

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

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

Samples

0.0ms

1×

valid

Compiler

Compiled 10 to 10 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series58.0ms (0.8%)

Memory

35.0MiB live, 81.7MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	847	5593

Stop Event

1×	iter-limit

Counts

50 → 188

Calls

Call 1

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

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) -1/2) eps) (* (sin x) eps)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (- (* (* (* (cos x) eps) -1/2) eps) (* (sin x) eps)) (fma.f64 #s(literal -1 binary64) (.f64 eps x) (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (- (* (* (* (cos x) eps) -1/2) eps) (* (sin x) eps)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)) eps))))
#s(approx (- (* (* (* (cos x) eps) -1/2) eps) (* (sin x) eps)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 eps x) (.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))) eps))))
#s(approx (* (* (* (cos x) eps) -1/2) eps) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (* (* (cos x) eps) -1/2) eps) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (* (* (* (cos x) eps) -1/2) eps) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/1440 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (* (* (cos x) eps) -1/2) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (* (* (cos x) eps) -1/2) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (* (cos x) eps) -1/2) (fma.f64 #s(literal -1/2 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) eps)))))
#s(approx (* (* (cos x) eps) -1/2) (fma.f64 #s(literal -1/2 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) eps (.f64 #s(literal 1/1440 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (* (cos x) eps) eps)
#s(approx (* (cos x) eps) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (cos x) eps) (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/24 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* (cos x) eps) (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) eps)))))))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx x x)
#s(approx (* (sin x) eps) (*.f64 eps x))
#s(approx (* (sin x) eps) (.f64 x (+.f64 eps (.f64 #s(literal -1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (sin x) eps) (.f64 x (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) eps (.f64 #s(literal 1/120 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (* (sin x) eps) (.f64 x (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/120 binary64) eps))))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 eps x) (.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (fma.f64 eps (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (fma.f64 x (fma.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (fma.f64 x (fma.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 x (fma.f64 eps (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal 1 binary64)))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) #s(literal 1 binary64)))))
#s(approx (* -1 (sin x)) (*.f64 #s(literal -1 binary64) x))
#s(approx (* -1 (sin x)) (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (* -1 (sin x)) (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))))
#s(approx (* -1 (sin x)) (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/120 binary64))))) #s(literal 1 binary64))))
#s(approx (* x (- (* 1/6 (pow eps 2)) 1)) (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (* 2 (* (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* 2 (* (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)))) (fma.f64 #s(literal -2 binary64) (.f64 x (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))
#s(approx (* 2 (* (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)))) (fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))) (.f64 #s(literal -1 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))))))
#s(approx (* 2 (* (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)))) (fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))) (.f64 x (fma.f64 #s(literal -1 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))))))))))
#s(approx (* (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2))) (fma.f64 #s(literal -1 binary64) (.f64 x (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2))) (fma.f64 x (fma.f64 #s(literal -1 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))) (.f64 #s(literal -1/2 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2))) (fma.f64 x (fma.f64 #s(literal -1 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))))))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (+ (* (PI) 1/2) (+ eps x)) (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (+ (* (PI) 1/2) (+ eps x)) (+.f64 eps (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ eps x) (+.f64 eps x))
#s(approx (+ (* (PI) 1/2) x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (+ (* (PI) 1/2) x) (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))
#s(approx (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (.f64 #s(literal -1 binary64) (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))))))
#s(approx (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))))))
#s(approx (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (.f64 #s(literal 1/6 binary64) (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))))) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))))))
#s(approx (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2) (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))
#s(approx (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2) (+.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (- (* (* (* (cos x) eps) -1/2) eps) (* (sin x) eps)) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))) (*.f64 eps (sin.f64 x))))
#s(approx (* (* (* (cos x) eps) -1/2) eps) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))
#s(approx (* (* (cos x) eps) -1/2) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))))
#s(approx (* (cos x) eps) (*.f64 eps (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (* (sin x) eps) (*.f64 eps (sin.f64 x)))
#s(approx (sin x) (sin.f64 x))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))) (sin.f64 x)))
#s(approx (+ (* -1 x) (* -1/2 eps)) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))
#s(approx (* -1 (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))
#s(approx (+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (.f64 eps (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (.f64 x (fma.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (.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))) x))))
#s(approx (* 2 (* (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (+ (* (PI) 1/2) (+ eps x)) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (/.f64 eps x)))))
#s(approx (+ eps x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (+ (* (PI) 1/2) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x)))))
#s(approx (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))))
#s(approx (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 eps (PI.f64)) x)))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 x)))
#s(approx (+ (* -1 x) (* -1/2 eps)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))))
#s(approx (+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (.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))) x))))))
#s(approx (* 2 (* (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 eps (PI.f64)) (.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 eps (PI.f64)) (.f64 #s(literal -2 binary64) x)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (+ (* (PI) 1/2) (+ eps x)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64))) x)) #s(literal 1 binary64)))))
#s(approx (+ eps x) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (+ (* (PI) 1/2) x) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) x)) #s(literal 1 binary64)))))
#s(approx (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 eps (PI.f64)) (.f64 #s(literal -2 binary64) x)))))
#s(approx (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 eps (PI.f64)) x)) #s(literal 1 binary64)))))
#s(approx (- (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 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 (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x))))))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x)))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))
#s(approx (+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (.f64 #s(literal -1 binary64) (.f64 eps x)))
#s(approx (+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (.f64 eps (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1/2 binary64) eps))))
#s(approx (+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (.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 (+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (.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 (- (* 1/6 (pow eps 2)) 1)) (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
#s(approx (- (* 1/6 (pow eps 2)) 1) #s(literal -1 binary64))
#s(approx (- (* 1/6 (pow eps 2)) 1) (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(approx (* 1/6 (pow eps 2)) (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (pow eps 2) (pow.f64 eps #s(literal 2 binary64)))
#s(approx (- (* 1/24 (pow eps 2)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* 1/24 (pow eps 2)) 1/2) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (* 1/24 (pow eps 2)) (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (* 2 (* (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)))) (.f64 eps (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) x))))))
#s(approx (* 2 (* (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)))) (.f64 eps (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) x)))))))))
#s(approx (* 2 (* (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)))) (.f64 eps (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 eps (fma.f64 #s(literal -1/16 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 #s(literal -1/48 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) x)))))))))))))
#s(approx (* 2 (* (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)))) (.f64 eps (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/16 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 #s(literal -1/48 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))))))))))))
#s(approx (* (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2))) (.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))))))
#s(approx (* (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2))) (.f64 eps (fma.f64 #s(literal -1/4 binary64) (.f64 eps (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) x))))))))
#s(approx (* (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2))) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 eps (fma.f64 #s(literal -1/4 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 eps (fma.f64 #s(literal -1/16 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 #s(literal -1/48 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))))))))))
#s(approx (* (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2))) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 eps (fma.f64 #s(literal -1/4 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 eps (fma.f64 #s(literal -1/16 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (fma.f64 #s(literal -1/48 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 #s(literal 1/48 binary64) (.f64 eps (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) x))))))))))))))
#s(approx (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))))))
#s(approx (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3840 binary64) (.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/48 binary64))))))
#s(approx (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))))
#s(approx (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))))))
#s(approx (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 eps (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))))))))
#s(approx (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 #s(literal 1/48 binary64) (.f64 eps (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))))))) (.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) x)))))))))
#s(approx (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2) (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))
#s(approx (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2) (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))))
#s(approx (+ x (* 1/2 (+ eps (PI)))) (+.f64 x (fma.f64 #s(literal 1/2 binary64) eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (* 1/2 (+ eps (PI))) (fma.f64 #s(literal 1/2 binary64) eps (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (+ eps (PI)) (PI.f64))
#s(approx (+ eps (PI)) (+.f64 eps (PI.f64)))
#s(approx (- (* (* (* (cos x) eps) -1/2) eps) (* (sin x) eps)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
#s(approx (+ (* -1 x) (* -1/2 eps)) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 eps #s(literal 4 binary64)) (cos.f64 x))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps)))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps))))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps)))))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (cos.f64 x))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps)))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) eps)))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) (cos.f64 x)))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) eps)))))
#s(approx (+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 x eps)))))
#s(approx (+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 x eps))) (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 eps #s(literal 3 binary64))) (.f64 #s(literal 1/6 binary64) (/.f64 x eps)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (* x (- (* 1/6 (pow eps 2)) 1)) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
#s(approx (* x (- (* 1/6 (pow eps 2)) 1)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal 1/6 binary64) x))))
#s(approx (- (* 1/6 (pow eps 2)) 1) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) (.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (* 1/24 (pow eps 2)) 1/2) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (+ (* (PI) 1/2) (+ eps x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) eps) (/.f64 x eps)))))
#s(approx (+ eps x) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) x)) eps)))))
#s(approx (+ x (* 1/2 (+ eps (PI)))) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) eps) (/.f64 x eps)))))
#s(approx (* 1/2 (+ eps (PI))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) eps)))))
#s(approx (+ eps (PI)) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (PI.f64) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x)))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)))))
#s(approx (+ (* -1 x) (* -1/2 eps)) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) eps))) eps) (*.f64 #s(literal 1/24 binary64) (cos.f64 x)))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (.f64 #s(literal -1/6 binary64) (sin.f64 x))) eps) (.f64 #s(literal 1/24 binary64) (cos.f64 x)))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/24 binary64) (cos.f64 x))))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps) (.f64 #s(literal -1/24 binary64) (cos.f64 x))))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) eps) (.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps) (.f64 #s(literal -1/24 binary64) (cos.f64 x))))))
#s(approx (+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) x (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps))) eps)))))
#s(approx (+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)) eps) (.f64 #s(literal -1/6 binary64) x)) eps)))))
#s(approx (* 2 (* (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal -1 binary64) eps)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (+ (* (PI) 1/2) (+ eps x)) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64))) eps)) #s(literal 1 binary64)))))
#s(approx (+ eps x) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (cos (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal -1 binary64) eps)))))
#s(approx (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)) eps)) #s(literal 1/2 binary64)))))
#s(approx (+ x (* 1/2 (+ eps (PI)))) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64))) eps)) #s(literal 1/2 binary64)))))
#s(approx (* 1/2 (+ eps (PI))) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) eps)) #s(literal 1/2 binary64)))))
#s(approx (+ eps (PI)) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) eps)) #s(literal 1 binary64)))))

Calls

6 calls:

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

rewrite137.0ms (1.8%)

Memory

-15.1MiB live, 128.0MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	597
0	115	589
1	573	585
2	2458	585
0	4308	560

Stop Event

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

Counts

50 → 474

Calls

Call 1

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

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

eval88.0ms (1.1%)

Memory: 0.4MiB live, 136.4MiB allocated; 13ms collecting garbage
Compiler: Compiled 32 466 to 3 829 computations (88.2% saved)

prune26.0ms (0.3%)

Memory

31.0MiB live, 31.0MiB allocated; 0ms collecting garbage

Pruning

33 alts after pruning (28 fresh and 5 done)

	Pruned	Kept	Total
New	624	16	640
Fresh	5	12	17
Picked	4	1	5
Done	1	4	5
Total	634	33	667

Accuracy

100.0%

Counts

667 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.6%	(fma.f64 (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x)) x))))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x)) x)))))) #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x)) x)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 eps x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 1/2 binary64)))))
	48.6%	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (cos.f64 x))
	48.6%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	48.4%	(-.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) eps)) (cos.f64 x))
✓	48.4%	(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
✓	48.4%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	48.8%	(.f64 (.f64 (sin.f64 (.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cos.f64 #s(approx ( (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2) (fma.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64) x))))
	79.2%	(.f64 (.f64 (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
	12.2%	(.f64 #s(literal 2 binary64) (.f64 (sin.f64 #s(approx (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2) (.f64 #s(literal 1/2 binary64) eps))) (cos.f64 #s(approx ( (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2) (+.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))))))
	12.0%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (cos.f64 (*.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))))
	12.0%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (* (- (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (cos.f64 #s(approx (* (+ (+ (* (PI) 1/2) (+ eps x)) (+ (* (PI) 1/2) x)) 1/2) (+.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))))))
✓	99.1%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps) (.f64 (sin.f64 x) eps)))
	98.4%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (.f64 #s(approx ( (* (cos x) eps) -1/2) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))) eps) (*.f64 (sin.f64 x) eps)))
	99.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) x (.f64 #s(literal -1/48 binary64) eps)) x #s(literal 1/6 binary64)) x))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
	54.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (sin.f64 x) eps) (.f64 (.f64 (.f64 (cos.f64 x) eps) eps) #s(literal -1/2 binary64)))) (.f64 (.f64 (.f64 (cos.f64 x) eps) eps) #s(literal -1/2 binary64))))
	77.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (neg.f64 (sin.f64 x))) eps))
	97.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) eps))
	98.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 x))))
✓	99.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
	98.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) (sin.f64 x))))
	98.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 #s(approx ( -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))) (sin.f64 x))))
	10.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (sin.f64 (+.f64 x (PI.f64))))))
	11.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))))
	77.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) #s(approx (* -1 (sin x)) (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))))
	76.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) #s(approx (* -1 (sin x)) (*.f64 #s(literal -1 binary64) x)))))
	97.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))))
	97.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))))
✓	48.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))))
	97.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))))
	97.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))))))
	97.7%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (* (* (* (cos x) eps) -1/2) eps) (* (sin x) eps)) (fma.f64 #s(literal -1 binary64) (.f64 eps x) (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
	97.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) x) eps (.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps) eps))))
	47.2%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) #s(approx (+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 4 binary64))))))

Compiler

Compiled 1 125 to 709 computations (37.0% saved)

regimes264.0ms (3.4%)

Memory

-15.7MiB live, 413.2MiB allocated; 70ms collecting garbage

Counts

1 → 1

2 → 1

7 → 1

9 → 1

22 → 1

24 → 1

33 → 1

46 → 1

49 → 1

54 → 1

Calls

Call 1

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

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

Call 2

Inputs

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

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

Outputs

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

Call 3

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

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

Call 4

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

Outputs

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

Call 5

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

Outputs

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

Call 6

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

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

Call 7

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

Outputs

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

Call 8

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

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

Call 9

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

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

Call 10

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

Outputs

#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))))

Calls

30 calls:

20.0ms	eps
19.0ms	eps
17.0ms	x
16.0ms	x
15.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
48.6%	1	`x`
48.6%	1	`eps`
48.6%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
76.9%	1	`x`
76.9%	1	`eps`
76.9%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
97.7%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
97.7%	1	`x`
97.7%	1	`eps`
97.7%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
97.7%	1	`x`
97.7%	1	`eps`
97.9%	1	`x`
97.9%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
97.9%	1	`eps`
98.7%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
98.7%	1	`x`
98.7%	1	`eps`
98.7%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
98.7%	1	`x`
98.7%	1	`eps`
99.1%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.1%	1	`x`
99.1%	1	`eps`
99.2%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.2%	1	`x`
99.2%	1	`eps`
99.5%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.5%	1	`x`
99.5%	1	`eps`

Compiler

Compiled 1 870 to 493 computations (73.6% saved)

derivations30.0ms (0.4%)

Memory

-22.8MiB live, 25.9MiB allocated; 4ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 295 to 98 computations (66.8% saved)

preprocess65.0ms (0.8%)

Memory: 29.8MiB live, 122.3MiB allocated; 8ms collecting garbage
Compiler: Compiled 332 to 129 computations (61.1% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze33.0ms (0.4%)

sample6.1s (78.7%)

preprocess25.0ms (0.3%)

sample0.0ms (0.0%)

series73.0ms (0.9%)

rewrite112.0ms (1.5%)

eval32.0ms (0.4%)

prune13.0ms (0.2%)

sample0.0ms (0.0%)

series66.0ms (0.9%)

rewrite143.0ms (1.9%)

eval107.0ms (1.4%)

prune31.0ms (0.4%)

sample0.0ms (0.0%)

series61.0ms (0.8%)

rewrite129.0ms (1.7%)

eval114.0ms (1.5%)

prune34.0ms (0.4%)

sample0.0ms (0.0%)

series58.0ms (0.8%)

rewrite137.0ms (1.8%)

eval88.0ms (1.1%)

prune26.0ms (0.3%)

regimes264.0ms (3.4%)

derivations30.0ms (0.4%)

preprocess65.0ms (0.8%)

end0.0ms (0.0%)

Profiling