Metrics for 2cos (problem 3.3.5)

start0.0ms (0%)

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

analyze37.0ms (0.4%)

Memory

16.7MiB live, 61.9MiB allocated; 10ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample7.3s (80.8%)

Memory

-139.2MiB live, 8 704.7MiB allocated; 3.9s collecting garbage

Samples

2.7s	25 781×	0	invalid
2.4s	5 749×	2	valid
436.0ms	2 459×	1	valid
5.0ms	48×	0	valid

Precisions

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

ival-cos: 2.5s (64.6% of total)

adjust: 412.0ms (10.7% of total)

ival-fabs: 229.0ms (5.9% of total)

ival-<: 199.0ms (5.2% of total)

ival-mult!: 164.0ms (4.2% of total)

ival-add!: 156.0ms (4% of total)

ival-sub!: 133.0ms (3.4% of total)

ival-and: 60.0ms (1.6% of total)

ival-assert: 13.0ms (0.3% of total)

Bogosity

preprocess25.0ms (0.3%)

Memory

33.4MiB live, 33.4MiB 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
▶	51.3%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 12 to 12 computations (0% saved)

series19.0ms (0.2%)

Memory

-23.7MiB live, 21.2MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	506

Stop Event

1×	iter-limit

Counts

6 → 33

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) x eps (cos x))
2.0ms	x	@	-inf	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) x eps (cos x))
1.0ms	x	@	0	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) x eps (cos x))
1.0ms	eps	@	inf	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) x eps (cos x))
1.0ms	eps	@	-inf	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) x eps (cos x))

rewrite100.0ms (1.1%)

Memory

20.0MiB live, 112.3MiB allocated; 7ms 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)))

eval58.0ms (0.6%)

Memory: -19.1MiB live, 43.6MiB allocated; 30ms collecting garbage
Compiler: Compiled 3 454 to 1 321 computations (61.8% saved)

prune13.0ms (0.1%)

Memory

-28.1MiB live, 20.3MiB allocated; 5ms collecting garbage

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	250	9	259
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	250	10	260

Accuracy

99.8%

Counts

260 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.3%	(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
✓	51.3%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	49.7%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
	51.3%	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) (cos.f64 (+.f64 eps x)))
▶	52.4%	(.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)))))
▶	49.4%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
▶	99.8%	#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))))
	99.7%	#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))))
▶	99.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
▶	79.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x))))

Compiler

Compiled 274 to 242 computations (11.7% saved)

series73.0ms (0.8%)

Memory

9.1MiB live, 98.9MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	874	6399

Stop Event

1×	iter-limit

Counts

46 → 203

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

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 (* -1 (* eps (sin x))) (.f64 #s(literal -1 binary64) (.f64 eps x)))
#s(approx (* -1 (* eps (sin x))) (.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 (* -1 (* eps (sin x))) (.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 (* -1 (* eps (sin x))) (.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 (* eps (sin x)) (*.f64 eps x))
#s(approx (* eps (sin x)) (.f64 x (+.f64 eps (.f64 #s(literal -1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* eps (sin x)) (.f64 x (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) eps (.f64 #s(literal 1/120 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (* eps (sin x)) (.f64 x (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/120 binary64) eps))))))))
#s(approx (* 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 (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (sin.f64 (.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (* 2 (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 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 (PI.f64) eps))))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (sin.f64 (.f64 #s(literal -1/2 binary64) eps))))))
#s(approx (* 2 (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)))) (fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (sin.f64 (.f64 #s(literal -1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal -1 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (sin.f64 (.f64 #s(literal -1/2 binary64) eps)))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps)))))))))
#s(approx (* 2 (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)))) (fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (sin.f64 (.f64 #s(literal -1/2 binary64) 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 (PI.f64) eps)))) (.f64 x (fma.f64 #s(literal -1 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (sin.f64 (.f64 #s(literal -1/2 binary64) 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 (PI.f64) eps))))))))))))
#s(approx (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps))))
#s(approx (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2))) (fma.f64 x (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (sin.f64 (.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2))) (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (sin.f64 (.f64 #s(literal -1/2 binary64) eps)))) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (sin.f64 (.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (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 (PI.f64) eps))))))) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (sin.f64 (.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) (*.f64 #s(literal -1 binary64) eps))
#s(approx (+ (- (neg eps) x) (* (PI) 1/2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) eps))
#s(approx (+ (- (neg eps) x) (* (PI) 1/2)) (-.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/2 binary64) (PI.f64))) eps))
#s(approx (- (neg eps) x) (-.f64 (*.f64 #s(literal -1 binary64) x) eps))
#s(approx (+ (neg x) (* (PI) 1/2)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (+ (neg x) (* (PI) 1/2)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))))
#s(approx (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))))))
#s(approx (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))))) (.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))))))))
#s(approx (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (.f64 #s(literal -1/6 binary64) (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))))))) (.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))))))))
#s(approx (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps)))
#s(approx (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))))
#s(approx (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) (-.f64 (PI.f64) eps))
#s(approx (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) (-.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) x)) eps))
#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 (* -1 (* eps (sin x))) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x))))
#s(approx (* eps (sin x)) (*.f64 eps (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 (* -1/2 (* eps (cos x))) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))))
#s(approx (* 2 (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (+.f64 eps (.f64 #s(literal 2 binary64) x))))) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (+.f64 eps (.f64 #s(literal 2 binary64) x))))) (sin.f64 (.f64 #s(literal -1/2 binary64) eps))))
#s(approx (+ (- (neg eps) x) (* (PI) 1/2)) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x)) (+.f64 #s(literal 1 binary64) (/.f64 eps x)))))
#s(approx (- (neg eps) x) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
#s(approx (+ (neg x) (* (PI) 1/2)) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x)) #s(literal 1 binary64))))
#s(approx (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (+.f64 eps (.f64 #s(literal 2 binary64) x))))))
#s(approx (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (PI.f64) eps) x)) #s(literal 1 binary64))))
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#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 (cos eps) (cos.f64 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 (+ (- (neg eps) x) (* (PI) 1/2)) (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) eps)) (+.f64 #s(literal 1 binary64) (/.f64 x eps)))))
#s(approx (- (neg eps) x) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
#s(approx (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2) (.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 (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) (.f64 eps (-.f64 (/.f64 (PI.f64) eps) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 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 (* 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 (- (* -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 (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) eps)) (.f64 #s(literal 2 binary64) x)))) (sin.f64 (.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) eps)) (.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps))))
#s(approx (+ (- (neg eps) x) (* (PI) 1/2)) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x) eps))))))
#s(approx (- (neg eps) x) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))))
#s(approx (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) eps)) (*.f64 #s(literal 2 binary64) x)))))
#s(approx (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2) (.f64 #s(literal -1 binary64) (.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 (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)) eps))))))

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	eps	@	inf	((- (cos (+ x eps)) (cos x)) (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) -1/2 (cos x) x (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))) (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (* 1/24 (* eps (cos x))) 1/24 (* eps (cos x)) (* -1/6 (sin x)) -1/6 (sin x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* -1 (* eps (sin x))) -1 (* eps (sin x)) (- (cos (+ x eps)) (cos x)) (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (- (* -1/2 (* eps (cos x))) (sin x)) (* -1/2 (* eps (cos x))) (* 2 (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)))) 2 (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2))) (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2) (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) (+ (- (neg eps) x) (* (PI) 1/2)) (- (neg eps) x) (neg eps) (* (PI) 1/2) (PI) 1/2 (+ (neg x) (* (PI) 1/2)) (neg x) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2) (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))))
7.0ms	x	@	-inf	((- (cos (+ x eps)) (cos x)) (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) -1/2 (cos x) x (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))) (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (* 1/24 (* eps (cos x))) 1/24 (* eps (cos x)) (* -1/6 (sin x)) -1/6 (sin x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* -1 (* eps (sin x))) -1 (* eps (sin x)) (- (cos (+ x eps)) (cos x)) (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (- (* -1/2 (* eps (cos x))) (sin x)) (* -1/2 (* eps (cos x))) (* 2 (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)))) 2 (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2))) (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2) (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) (+ (- (neg eps) x) (* (PI) 1/2)) (- (neg eps) x) (neg eps) (* (PI) 1/2) (PI) 1/2 (+ (neg x) (* (PI) 1/2)) (neg x) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2) (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))))
7.0ms	x	@	0	((- (cos (+ x eps)) (cos x)) (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) -1/2 (cos x) x (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))) (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (* 1/24 (* eps (cos x))) 1/24 (* eps (cos x)) (* -1/6 (sin x)) -1/6 (sin x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* -1 (* eps (sin x))) -1 (* eps (sin x)) (- (cos (+ x eps)) (cos x)) (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (- (* -1/2 (* eps (cos x))) (sin x)) (* -1/2 (* eps (cos x))) (* 2 (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)))) 2 (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2))) (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2) (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) (+ (- (neg eps) x) (* (PI) 1/2)) (- (neg eps) x) (neg eps) (* (PI) 1/2) (PI) 1/2 (+ (neg x) (* (PI) 1/2)) (neg x) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2) (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))))
6.0ms	eps	@	0	((- (cos (+ x eps)) (cos x)) (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) -1/2 (cos x) x (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))) (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (* 1/24 (* eps (cos x))) 1/24 (* eps (cos x)) (* -1/6 (sin x)) -1/6 (sin x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* -1 (* eps (sin x))) -1 (* eps (sin x)) (- (cos (+ x eps)) (cos x)) (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (- (* -1/2 (* eps (cos x))) (sin x)) (* -1/2 (* eps (cos x))) (* 2 (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)))) 2 (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2))) (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2) (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) (+ (- (neg eps) x) (* (PI) 1/2)) (- (neg eps) x) (neg eps) (* (PI) 1/2) (PI) 1/2 (+ (neg x) (* (PI) 1/2)) (neg x) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2) (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))))
6.0ms	eps	@	-inf	((- (cos (+ x eps)) (cos x)) (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) -1/2 (cos x) x (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))) (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (* 1/24 (* eps (cos x))) 1/24 (* eps (cos x)) (* -1/6 (sin x)) -1/6 (sin x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* -1 (* eps (sin x))) -1 (* eps (sin x)) (- (cos (+ x eps)) (cos x)) (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (- (* -1/2 (* eps (cos x))) (sin x)) (* -1/2 (* eps (cos x))) (* 2 (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)))) 2 (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2))) (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2) (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) (+ (- (neg eps) x) (* (PI) 1/2)) (- (neg eps) x) (neg eps) (* (PI) 1/2) (PI) 1/2 (+ (neg x) (* (PI) 1/2)) (neg x) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2) (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))))

rewrite143.0ms (1.6%)

Memory

43.6MiB live, 180.2MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	454
0	84	430
1	417	402
2	2303	402
0	4116	391

Stop Event

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

Counts

46 → 563

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

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

eval124.0ms (1.4%)

Memory: -40.0MiB live, 151.4MiB allocated; 18ms collecting garbage
Compiler: Compiled 15 670 to 5 029 computations (67.9% saved)

prune32.0ms (0.4%)

Memory

8.8MiB live, 54.4MiB allocated; 4ms collecting garbage

Pruning

27 alts after pruning (25 fresh and 2 done)

	Pruned	Kept	Total
New	754	24	778
Fresh	3	1	4
Picked	4	1	5
Done	0	1	1
Total	761	27	788

Accuracy

100.0%

Counts

788 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.3%	(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
✓	51.3%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
▶	13.9%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (.f64 eps (-.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 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)))))
	13.9%	(.f64 #s(literal 2 binary64) #s(approx ( (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (PI.f64) (.f64 #s(literal -2 binary64) x)) eps))) (sin.f64 (.f64 #s(literal -1/2 binary64) eps)))))
	99.3%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps (*.f64 (neg.f64 eps) (sin.f64 x))))
	49.4%	#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)))
▶	99.8%	#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))
	79.1%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (sin.f64 x) (neg.f64 eps)))
	98.7%	#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))))
	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 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)))))) (sin.f64 x))))
	99.7%	#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))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x))))
	98.4%	#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))))
✓	99.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
	98.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) (sin.f64 x))))
▶	97.9%	#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))))
	38.1%	#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) (.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))))))))
	96.8%	#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)))))))
	96.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))))
	96.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))))
	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))))))
	51.0%	#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))))
▶	77.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(literal -1 binary64) #s(approx ( eps (sin x)) (*.f64 eps x))))
	96.5%	#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))))))
	30.3%	#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))))))
	96.7%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 eps x) (.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))
▶	96.3%	#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))))))
	77.5%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* -1 (* eps (sin x))) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))

Compiler

Compiled 1 284 to 1 188 computations (7.5% saved)

series74.0ms (0.8%)

Memory

10.6MiB live, 108.4MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	879	6303

Stop Event

1×	iter-limit

Counts

54 → 206

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	eps	@	0	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (cos x) x -1/2 (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps) (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) 1/6 (sin x) (* (* (cos x) eps) 1/24) (* (cos x) eps) eps 1/24 (- (cos (+ x eps)) (cos x)) (* -1 (* eps (sin x))) -1 (* eps (sin x)) (* eps x) (- (cos (+ x eps)) (cos x)) (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (+ (* -1 (* eps x)) (* -1/2 (pow eps 2))) (* -1/2 (pow eps 2)) (pow eps 2) 2 (- (cos (+ x eps)) (cos x)) (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (- (* -1/2 (* eps (cos x))) (sin x)) (* -1/2 (* eps (cos x))) (+ (* -1/2 eps) (* 1/4 (* eps (pow x 2)))) (* 1/4 (* eps (pow x 2))) 1/4 (* eps (pow x 2)) (pow x 2) (* 2 (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)))) (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2))) (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (* eps (- (* 1/48 (pow eps 2)) 1/2)) (- (* 1/48 (pow eps 2)) 1/2) (* 1/48 (pow eps 2)) 1/48 1/2 (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2) (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) (+ (- (neg eps) x) (* (PI) 1/2)) (- (neg eps) x) (neg eps) (* (PI) 1/2) (PI) (+ (neg x) (* (PI) 1/2)) (neg x))
8.0ms	x	@	0	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (cos x) x -1/2 (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps) (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) 1/6 (sin x) (* (* (cos x) eps) 1/24) (* (cos x) eps) eps 1/24 (- (cos (+ x eps)) (cos x)) (* -1 (* eps (sin x))) -1 (* eps (sin x)) (* eps x) (- (cos (+ x eps)) (cos x)) (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (+ (* -1 (* eps x)) (* -1/2 (pow eps 2))) (* -1/2 (pow eps 2)) (pow eps 2) 2 (- (cos (+ x eps)) (cos x)) (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (- (* -1/2 (* eps (cos x))) (sin x)) (* -1/2 (* eps (cos x))) (+ (* -1/2 eps) (* 1/4 (* eps (pow x 2)))) (* 1/4 (* eps (pow x 2))) 1/4 (* eps (pow x 2)) (pow x 2) (* 2 (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)))) (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2))) (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (* eps (- (* 1/48 (pow eps 2)) 1/2)) (- (* 1/48 (pow eps 2)) 1/2) (* 1/48 (pow eps 2)) 1/48 1/2 (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2) (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) (+ (- (neg eps) x) (* (PI) 1/2)) (- (neg eps) x) (neg eps) (* (PI) 1/2) (PI) (+ (neg x) (* (PI) 1/2)) (neg x))
6.0ms	eps	@	inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (cos x) x -1/2 (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps) (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) 1/6 (sin x) (* (* (cos x) eps) 1/24) (* (cos x) eps) eps 1/24 (- (cos (+ x eps)) (cos x)) (* -1 (* eps (sin x))) -1 (* eps (sin x)) (* eps x) (- (cos (+ x eps)) (cos x)) (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (+ (* -1 (* eps x)) (* -1/2 (pow eps 2))) (* -1/2 (pow eps 2)) (pow eps 2) 2 (- (cos (+ x eps)) (cos x)) (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (- (* -1/2 (* eps (cos x))) (sin x)) (* -1/2 (* eps (cos x))) (+ (* -1/2 eps) (* 1/4 (* eps (pow x 2)))) (* 1/4 (* eps (pow x 2))) 1/4 (* eps (pow x 2)) (pow x 2) (* 2 (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)))) (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2))) (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (* eps (- (* 1/48 (pow eps 2)) 1/2)) (- (* 1/48 (pow eps 2)) 1/2) (* 1/48 (pow eps 2)) 1/48 1/2 (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2) (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) (+ (- (neg eps) x) (* (PI) 1/2)) (- (neg eps) x) (neg eps) (* (PI) 1/2) (PI) (+ (neg x) (* (PI) 1/2)) (neg x))
6.0ms	eps	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (cos x) x -1/2 (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps) (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) 1/6 (sin x) (* (* (cos x) eps) 1/24) (* (cos x) eps) eps 1/24 (- (cos (+ x eps)) (cos x)) (* -1 (* eps (sin x))) -1 (* eps (sin x)) (* eps x) (- (cos (+ x eps)) (cos x)) (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (+ (* -1 (* eps x)) (* -1/2 (pow eps 2))) (* -1/2 (pow eps 2)) (pow eps 2) 2 (- (cos (+ x eps)) (cos x)) (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (- (* -1/2 (* eps (cos x))) (sin x)) (* -1/2 (* eps (cos x))) (+ (* -1/2 eps) (* 1/4 (* eps (pow x 2)))) (* 1/4 (* eps (pow x 2))) 1/4 (* eps (pow x 2)) (pow x 2) (* 2 (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)))) (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2))) (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (* eps (- (* 1/48 (pow eps 2)) 1/2)) (- (* 1/48 (pow eps 2)) 1/2) (* 1/48 (pow eps 2)) 1/48 1/2 (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2) (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) (+ (- (neg eps) x) (* (PI) 1/2)) (- (neg eps) x) (neg eps) (* (PI) 1/2) (PI) (+ (neg x) (* (PI) 1/2)) (neg x))
5.0ms	x	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (cos x) x -1/2 (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps) (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) 1/6 (sin x) (* (* (cos x) eps) 1/24) (* (cos x) eps) eps 1/24 (- (cos (+ x eps)) (cos x)) (* -1 (* eps (sin x))) -1 (* eps (sin x)) (* eps x) (- (cos (+ x eps)) (cos x)) (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (+ (* -1 (* eps x)) (* -1/2 (pow eps 2))) (* -1/2 (pow eps 2)) (pow eps 2) 2 (- (cos (+ x eps)) (cos x)) (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (- (* -1/2 (* eps (cos x))) (sin x)) (* -1/2 (* eps (cos x))) (+ (* -1/2 eps) (* 1/4 (* eps (pow x 2)))) (* 1/4 (* eps (pow x 2))) 1/4 (* eps (pow x 2)) (pow x 2) (* 2 (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)))) (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2))) (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (* eps (- (* 1/48 (pow eps 2)) 1/2)) (- (* 1/48 (pow eps 2)) 1/2) (* 1/48 (pow eps 2)) 1/48 1/2 (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2) (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) (+ (- (neg eps) x) (* (PI) 1/2)) (- (neg eps) x) (neg eps) (* (PI) 1/2) (PI) (+ (neg x) (* (PI) 1/2)) (neg x))

rewrite167.0ms (1.8%)

Memory

-25.3MiB live, 129.8MiB allocated; 55ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	599
0	117	597
1	512	576
2	2234	576
0	4012	566

Stop Event

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

Counts

54 → 472

Calls

Call 1

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

eval95.0ms (1.1%)

Memory: 17.0MiB live, 153.8MiB allocated; 22ms collecting garbage
Compiler: Compiled 11 831 to 4 138 computations (65% saved)

prune33.0ms (0.4%)

Memory

9.0MiB live, 63.0MiB allocated; 5ms collecting garbage

Pruning

28 alts after pruning (26 fresh and 2 done)

	Pruned	Kept	Total
New	640	16	656
Fresh	10	10	20
Picked	4	1	5
Done	1	1	2
Total	655	28	683

Accuracy

100.0%

Counts

683 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	13.9%	(.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 eps x)) x)) #s(literal 1/2 binary64)))) #s(approx (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) eps)))
	13.9%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (fma.f64 (.f64 #s(literal 1/48 binary64) (.f64 eps eps)) eps (.f64 #s(literal -1/2 binary64) eps))) (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)))))
	55.1%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (.f64 eps (-.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 eps x)) x)) #s(literal -1/2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))))))
▶	13.8%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (.f64 eps (-.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (cos.f64 #s(approx (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2) (.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)))))))
	13.7%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (.f64 eps #s(approx (- ( 1/48 (pow eps 2)) 1/2) #s(literal -1/2 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)))))
	99.3%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps (*.f64 (neg.f64 eps) (sin.f64 x))))
	49.4%	#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)))
✓	99.8%	#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))
	98.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 #s(approx (+ ( 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (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))))))) eps)) eps) (sin.f64 x)) eps))
	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 #s(approx (+ ( 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x))) eps)) eps) (sin.f64 x)) eps))
▶	99.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 #s(approx (+ ( 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps)) eps) (sin.f64 x)) eps))
	98.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
▶	97.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (.f64 (.f64 (*.f64 x x) eps) #s(literal 1/4 binary64)))) (sin.f64 x)) eps))
	79.1%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (sin.f64 x) (neg.f64 eps)))
	38.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 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)))))) eps))
✓	99.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
	98.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) (sin.f64 x))))
	96.8%	#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)))))))
	96.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))))
	96.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))))
	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))))))
	51.0%	#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))))
▶	77.3%	#s(approx (- (cos (+ x eps)) (cos x)) (neg.f64 #s(approx (* eps (sin x)) (*.f64 eps x))))
	30.3%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 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))))))
	96.5%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 (neg.f64 x) eps (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
	96.3%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (-.f64 (.f64 (.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 eps x))))
▶	51.3%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (.f64 (neg.f64 x) eps))) (*.f64 (neg.f64 x) eps))))
	77.5%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* -1 (* eps (sin x))) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))

Compiler

Compiled 1 416 to 1 304 computations (7.9% saved)

series86.0ms (1%)

Memory

31.8MiB live, 159.7MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	885	6405

Stop Event

1×	iter-limit

Counts

56 → 210

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	eps	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (cos x) x -1/2 (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps) (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (* 1/6 (sin x)) 1/6 (sin x) eps (- (cos (+ x eps)) (cos x)) (neg (* eps (sin x))) (* eps (sin x)) (* eps x) (- (cos (+ x eps)) (cos x)) (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (* (- 1 (/ (* 1/2 (* eps eps)) (* (neg x) eps))) (* (neg x) eps)) (- 1 (/ (* 1/2 (* eps eps)) (* (neg x) eps))) 1 (/ (* 1/2 (* eps eps)) (* (neg x) eps)) (* 1/2 (* eps eps)) 1/2 (* eps eps) (* (neg x) eps) (neg x) (- (cos (+ x eps)) (cos x)) (* (- (* -1/2 (* eps (cos x))) (sin x)) eps) (- (* -1/2 (* eps (cos x))) (sin x)) (* -1/2 (* eps (cos x))) (+ (* -1/2 eps) (* (* (* x x) eps) 1/4)) (* (* (* x x) eps) 1/4) (* (* x x) eps) (* x x) 1/4 (* 2 (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)))) 2 (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2))) (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (* eps (- (* 1/48 (pow eps 2)) 1/2)) (- (* 1/48 (pow eps 2)) 1/2) (* 1/48 (pow eps 2)) 1/48 (pow eps 2) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2) (* eps (- (* 1/2 (/ (- (PI) (* 2 x)) eps)) 1/2)) (- (* 1/2 (/ (- (PI) (* 2 x)) eps)) 1/2) (* 1/2 (/ (- (PI) (* 2 x)) eps)) (/ (- (PI) (* 2 x)) eps) (- (PI) (* 2 x)) (PI) (* 2 x))
7.0ms	x	@	inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (cos x) x -1/2 (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps) (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (* 1/6 (sin x)) 1/6 (sin x) eps (- (cos (+ x eps)) (cos x)) (neg (* eps (sin x))) (* eps (sin x)) (* eps x) (- (cos (+ x eps)) (cos x)) (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (* (- 1 (/ (* 1/2 (* eps eps)) (* (neg x) eps))) (* (neg x) eps)) (- 1 (/ (* 1/2 (* eps eps)) (* (neg x) eps))) 1 (/ (* 1/2 (* eps eps)) (* (neg x) eps)) (* 1/2 (* eps eps)) 1/2 (* eps eps) (* (neg x) eps) (neg x) (- (cos (+ x eps)) (cos x)) (* (- (* -1/2 (* eps (cos x))) (sin x)) eps) (- (* -1/2 (* eps (cos x))) (sin x)) (* -1/2 (* eps (cos x))) (+ (* -1/2 eps) (* (* (* x x) eps) 1/4)) (* (* (* x x) eps) 1/4) (* (* x x) eps) (* x x) 1/4 (* 2 (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)))) 2 (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2))) (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (* eps (- (* 1/48 (pow eps 2)) 1/2)) (- (* 1/48 (pow eps 2)) 1/2) (* 1/48 (pow eps 2)) 1/48 (pow eps 2) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2) (* eps (- (* 1/2 (/ (- (PI) (* 2 x)) eps)) 1/2)) (- (* 1/2 (/ (- (PI) (* 2 x)) eps)) 1/2) (* 1/2 (/ (- (PI) (* 2 x)) eps)) (/ (- (PI) (* 2 x)) eps) (- (PI) (* 2 x)) (PI) (* 2 x))
7.0ms	eps	@	inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (cos x) x -1/2 (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps) (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (* 1/6 (sin x)) 1/6 (sin x) eps (- (cos (+ x eps)) (cos x)) (neg (* eps (sin x))) (* eps (sin x)) (* eps x) (- (cos (+ x eps)) (cos x)) (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (* (- 1 (/ (* 1/2 (* eps eps)) (* (neg x) eps))) (* (neg x) eps)) (- 1 (/ (* 1/2 (* eps eps)) (* (neg x) eps))) 1 (/ (* 1/2 (* eps eps)) (* (neg x) eps)) (* 1/2 (* eps eps)) 1/2 (* eps eps) (* (neg x) eps) (neg x) (- (cos (+ x eps)) (cos x)) (* (- (* -1/2 (* eps (cos x))) (sin x)) eps) (- (* -1/2 (* eps (cos x))) (sin x)) (* -1/2 (* eps (cos x))) (+ (* -1/2 eps) (* (* (* x x) eps) 1/4)) (* (* (* x x) eps) 1/4) (* (* x x) eps) (* x x) 1/4 (* 2 (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)))) 2 (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2))) (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (* eps (- (* 1/48 (pow eps 2)) 1/2)) (- (* 1/48 (pow eps 2)) 1/2) (* 1/48 (pow eps 2)) 1/48 (pow eps 2) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2) (* eps (- (* 1/2 (/ (- (PI) (* 2 x)) eps)) 1/2)) (- (* 1/2 (/ (- (PI) (* 2 x)) eps)) 1/2) (* 1/2 (/ (- (PI) (* 2 x)) eps)) (/ (- (PI) (* 2 x)) eps) (- (PI) (* 2 x)) (PI) (* 2 x))
6.0ms	x	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (cos x) x -1/2 (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps) (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (* 1/6 (sin x)) 1/6 (sin x) eps (- (cos (+ x eps)) (cos x)) (neg (* eps (sin x))) (* eps (sin x)) (* eps x) (- (cos (+ x eps)) (cos x)) (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (* (- 1 (/ (* 1/2 (* eps eps)) (* (neg x) eps))) (* (neg x) eps)) (- 1 (/ (* 1/2 (* eps eps)) (* (neg x) eps))) 1 (/ (* 1/2 (* eps eps)) (* (neg x) eps)) (* 1/2 (* eps eps)) 1/2 (* eps eps) (* (neg x) eps) (neg x) (- (cos (+ x eps)) (cos x)) (* (- (* -1/2 (* eps (cos x))) (sin x)) eps) (- (* -1/2 (* eps (cos x))) (sin x)) (* -1/2 (* eps (cos x))) (+ (* -1/2 eps) (* (* (* x x) eps) 1/4)) (* (* (* x x) eps) 1/4) (* (* x x) eps) (* x x) 1/4 (* 2 (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)))) 2 (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2))) (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (* eps (- (* 1/48 (pow eps 2)) 1/2)) (- (* 1/48 (pow eps 2)) 1/2) (* 1/48 (pow eps 2)) 1/48 (pow eps 2) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2) (* eps (- (* 1/2 (/ (- (PI) (* 2 x)) eps)) 1/2)) (- (* 1/2 (/ (- (PI) (* 2 x)) eps)) 1/2) (* 1/2 (/ (- (PI) (* 2 x)) eps)) (/ (- (PI) (* 2 x)) eps) (- (PI) (* 2 x)) (PI) (* 2 x))
6.0ms	eps	@	0	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (cos x) x -1/2 (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps) (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (* 1/6 (sin x)) 1/6 (sin x) eps (- (cos (+ x eps)) (cos x)) (neg (* eps (sin x))) (* eps (sin x)) (* eps x) (- (cos (+ x eps)) (cos x)) (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (* (- 1 (/ (* 1/2 (* eps eps)) (* (neg x) eps))) (* (neg x) eps)) (- 1 (/ (* 1/2 (* eps eps)) (* (neg x) eps))) 1 (/ (* 1/2 (* eps eps)) (* (neg x) eps)) (* 1/2 (* eps eps)) 1/2 (* eps eps) (* (neg x) eps) (neg x) (- (cos (+ x eps)) (cos x)) (* (- (* -1/2 (* eps (cos x))) (sin x)) eps) (- (* -1/2 (* eps (cos x))) (sin x)) (* -1/2 (* eps (cos x))) (+ (* -1/2 eps) (* (* (* x x) eps) 1/4)) (* (* (* x x) eps) 1/4) (* (* x x) eps) (* x x) 1/4 (* 2 (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)))) 2 (* (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2))) (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (* eps (- (* 1/48 (pow eps 2)) 1/2)) (- (* 1/48 (pow eps 2)) 1/2) (* 1/48 (pow eps 2)) 1/48 (pow eps 2) (cos (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2) (* eps (- (* 1/2 (/ (- (PI) (* 2 x)) eps)) 1/2)) (- (* 1/2 (/ (- (PI) (* 2 x)) eps)) 1/2) (* 1/2 (/ (- (PI) (* 2 x)) eps)) (/ (- (PI) (* 2 x)) eps) (- (PI) (* 2 x)) (PI) (* 2 x))

rewrite152.0ms (1.7%)

Memory

-10.6MiB live, 132.4MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	748
0	124	727
1	591	705
2	2757	705
0	4119	674

Stop Event

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

Counts

56 → 515

Calls

Call 1

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

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

eval92.0ms (1%)

Memory: 11.7MiB live, 103.0MiB allocated; 23ms collecting garbage
Compiler: Compiled 12 307 to 4 282 computations (65.2% saved)

prune39.0ms (0.4%)

Memory

3.3MiB live, 50.5MiB allocated; 4ms collecting garbage

Pruning

27 alts after pruning (23 fresh and 4 done)

	Pruned	Kept	Total
New	675	13	688
Fresh	11	10	21
Picked	3	2	5
Done	0	2	2
Total	689	27	716

Accuracy

100.0%

Counts

716 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	13.9%	(.f64 (.f64 #s(approx (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) eps)) #s(literal 2 binary64)) (cos.f64 #s(approx (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64)) eps) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) eps))))
	13.9%	(.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 eps x)) x)) #s(literal 1/2 binary64)))) #s(approx (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) eps)))
	13.8%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (fma.f64 (.f64 #s(literal 1/48 binary64) (.f64 eps eps)) eps (.f64 #s(literal -1/2 binary64) eps))) (cos.f64 #s(approx (/ (+ (+ (- (neg eps) x) ( (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2) (.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)))))))
	49.3%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (.f64 eps (-.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 (+.f64 (neg.f64 #s(approx (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2) (.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64)) eps) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) eps))) (.f64 (PI.f64) #s(literal 1/2 binary64))))))
	13.7%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (.f64 eps #s(approx (- ( 1/48 (pow eps 2)) 1/2) #s(literal -1/2 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)))))
	13.7%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2)) (.f64 eps #s(approx (- ( 1/48 (pow eps 2)) 1/2) #s(literal -1/2 binary64)))) (cos.f64 #s(approx (/ (+ (+ (- (neg eps) x) (* (PI) 1/2)) (+ (neg x) (* (PI) 1/2))) 2) (.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)))))))
	49.4%	#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)))
✓	99.8%	#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))
	98.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 #s(approx (+ ( 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (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))))))) eps)) eps) (sin.f64 x)) eps))
	99.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 #s(approx (+ ( 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps)) eps) (sin.f64 x)) eps))
	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 #s(approx (+ ( 1/6 (sin x)) (* (* (cos x) eps) 1/24)) #s(approx (* 1/6 (sin x)) (*.f64 #s(literal 1/6 binary64) x))) eps)) eps) (sin.f64 x)) eps))
✓	97.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (.f64 (.f64 (*.f64 x x) eps) #s(literal 1/4 binary64)))) (sin.f64 x)) eps))
	79.1%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (sin.f64 x) (neg.f64 eps)))
	38.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 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)))))) eps))
	96.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #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))))) eps))
	96.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #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))))) eps))
	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #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))))) eps))
	51.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
✓	99.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
	98.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) (sin.f64 x))))
✓	77.3%	#s(approx (- (cos (+ x eps)) (cos x)) (neg.f64 #s(approx (* eps (sin x)) (*.f64 eps x))))
	30.3%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 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))))))
	96.5%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 (neg.f64 x) eps (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
	96.3%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (-.f64 (.f64 (.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 eps x))))
	96.2%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ ( 1/2 (* eps eps)) (* (neg x) eps)) (.f64 #s(literal -1/2 binary64) (/.f64 eps x)))) (.f64 (neg.f64 x) eps))))
	96.4%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (.f64 eps (-.f64 (neg.f64 x) (.f64 #s(literal 1/2 binary64) eps)))))
	77.5%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (neg (* eps (sin x))) (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) eps))))

Compiler

Compiled 1 691 to 1 118 computations (33.9% saved)

regimes46.0ms (0.5%)

Memory

0.2MiB live, 46.0MiB allocated; 3ms collecting garbage

Counts

63 → 1

Calls

Call 1

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

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))

Calls

3 calls:

17.0ms	eps
15.0ms	x
11.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes41.0ms (0.5%)

Memory

-3.0MiB live, 42.5MiB allocated; 2ms collecting garbage

Counts

57 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

15.0ms	eps
13.0ms	x
10.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes56.0ms (0.6%)

Memory

-13.2MiB live, 40.1MiB allocated; 32ms collecting garbage

Counts

53 → 1

Calls

Call 1

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

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))))

Calls

3 calls:

32.0ms	eps
13.0ms	x
9.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
99.4%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.4%	1	`x`
99.4%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes28.0ms (0.3%)

Memory

-19.0MiB live, 28.6MiB allocated; 5ms collecting garbage

Counts

37 → 1

Calls

Call 1

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

Calls

3 calls:

11.0ms	x
9.0ms	eps
7.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes19.0ms (0.2%)

Memory

21.5MiB live, 21.5MiB allocated; 0ms collecting garbage

Counts

26 → 1

Calls

Call 1

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

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))))

Calls

3 calls:

7.0ms	eps
6.0ms	x
5.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes18.0ms (0.2%)

Memory

-27.8MiB live, 18.5MiB allocated; 2ms collecting garbage

Counts

22 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

7.0ms	x
6.0ms	eps
4.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
96.8%	1	`x`
96.8%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
96.8%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes11.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated; 0ms collecting garbage

Counts

13 → 1

Calls

Call 1

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
96.5%	1	`x`
96.5%	1	`eps`
96.5%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes7.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
96.4%	1	`x`
96.4%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
96.4%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes5.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated; 0ms collecting garbage

Accuracy

Total -16.8b remaining (-115.7%)

Threshold costs -16.8b (-115.7%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	eps
2.0ms	x
1.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
77.3%	1	`x`
77.3%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
77.3%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

derivations78.0ms (0.9%)

Memory

1.0MiB live, 47.3MiB allocated; 2ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 124 to 94 computations (24.2% saved)

preprocess65.0ms (0.7%)

Memory: -2.0MiB live, 90.7MiB allocated; 11ms collecting garbage
Compiler: Compiled 158 to 125 computations (20.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze37.0ms (0.4%)

sample7.3s (80.8%)

preprocess25.0ms (0.3%)

series19.0ms (0.2%)

rewrite100.0ms (1.1%)

eval58.0ms (0.6%)

prune13.0ms (0.1%)

series73.0ms (0.8%)

rewrite143.0ms (1.6%)

eval124.0ms (1.4%)

prune32.0ms (0.4%)

series74.0ms (0.8%)

rewrite167.0ms (1.8%)

eval95.0ms (1.1%)

prune33.0ms (0.4%)

series86.0ms (1%)

rewrite152.0ms (1.7%)

eval92.0ms (1%)

prune39.0ms (0.4%)

regimes46.0ms (0.5%)

regimes41.0ms (0.5%)

regimes56.0ms (0.6%)

regimes28.0ms (0.3%)

regimes19.0ms (0.2%)

regimes18.0ms (0.2%)

regimes11.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

derivations78.0ms (0.9%)

preprocess65.0ms (0.7%)

end0.0ms (0%)

Profiling