Metrics for 2cos (problem 3.3.5)

start0.0ms (0.0%)

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

analyze49.0ms (0.5%)

Memory

-20.3MiB live, 68.6MiB allocated; 50ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample7.2s (78.8%)

Memory

-165.0MiB live, 8 561.0MiB allocated; 3.7s collecting garbage

Samples

3.0s	5 789×	2	valid
2.5s	26 425×	0	invalid
506.0ms	2 428×	1	valid
8.0ms	39×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 4.5s

ival-cos: 3.0s (67.6% of total)

adjust: 406.0ms (9.1% of total)

ival-sub!: 223.0ms (5.0% of total)

ival-fabs: 221.0ms (4.9% of total)

ival-<: 214.0ms (4.8% of total)

ival-mult!: 159.0ms (3.6% of total)

ival-add!: 150.0ms (3.4% of total)

ival-and: 64.0ms (1.4% of total)

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

Bogosity

preprocess25.0ms (0.3%)

Memory

37.4MiB live, 37.4MiB 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
▶	55.0%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs

Outputs

series16.0ms (0.2%)

Memory

-20.3MiB live, 26.5MiB allocated; 4ms 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
1.0ms	eps	inf
1.0ms	eps	-inf
1.0ms	x	0
1.0ms	x	-inf
0.0ms	eps	0

rewrite229.0ms (2.5%)

Memory

-22.8MiB live, 231.0MiB allocated; 141ms 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)))

eval33.0ms (0.4%)

Memory: 18.7MiB live, 63.4MiB allocated; 7ms collecting garbage
Compiler: Compiled 5 792 to 1 321 computations (77.2% saved)

prune11.0ms (0.1%)

Memory

23.1MiB live, 23.1MiB allocated; 0ms collecting garbage

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	249	10	259
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	249	11	260

Accuracy

99.8%

Counts

260 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.9%	(-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) (cos.f64 x))
✓	55.0%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	54.1%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
	53.6%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
	82.8%	(.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))
	54.1%	#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)))
▶	53.5%	#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))))
▶	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
▶	79.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x))))

Compiler

Compiled 355 to 268 computations (24.5% saved)

sample13.0ms (0.1%)

Memory

-52.0MiB live, 1.0MiB allocated; 21ms collecting garbage

Calls

Call 1

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

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

Samples

0.0ms

1×

valid

Compiler

Compiled 9 to 9 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series60.0ms (0.7%)

Memory

11.2MiB live, 103.0MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	685	4373

Stop Event

1×	iter-limit

Counts

35 → 163

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

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 (- (sin (+ (* (PI) 1/2) (+ eps x))) (cos x)) (-.f64 (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 1 binary64)))
#s(approx (- (sin (+ (* (PI) 1/2) (+ eps x))) (cos x)) (-.f64 (+.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 x (cos.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) #s(literal 1 binary64)))
#s(approx (- (sin (+ (* (PI) 1/2) (+ eps x))) (cos x)) (-.f64 (+.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 x (+.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))))))))) #s(literal 1 binary64)))
#s(approx (- (sin (+ (* (PI) 1/2) (+ eps x))) (cos x)) (-.f64 (+.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 x (+.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal -1/6 binary64) (.f64 x (cos.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))))))))))) #s(literal 1 binary64)))
#s(approx (sin (+ (* (PI) 1/2) (+ eps x))) (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (sin (+ (* (PI) 1/2) (+ eps x))) (+.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 x (cos.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (sin (+ (* (PI) 1/2) (+ eps x))) (+.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 x (+.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal -1/2 binary64) (.f64 x (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64))))))))))
#s(approx (sin (+ (* (PI) 1/2) (+ eps x))) (+.f64 (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 x (+.f64 (cos.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal -1/6 binary64) (.f64 x (cos.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64))))))))))))
#s(approx (+ (* (PI) 1/2) (+ eps x)) (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (+ (* (PI) 1/2) (+ eps x)) (+.f64 eps (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ eps x) (+.f64 eps x))
#s(approx (* 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 (- (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 (- (sin (+ (* (PI) 1/2) (+ eps x))) (cos x)) (-.f64 (sin.f64 (+.f64 eps (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (cos.f64 x)))
#s(approx (sin (+ (* (PI) 1/2) (+ eps x))) (sin.f64 (+.f64 eps (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (+ (* (PI) 1/2) (+ eps x)) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (/.f64 eps x)))))
#s(approx (+ eps x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (* 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 (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 x)))
#s(approx (- (sin (+ (* (PI) 1/2) (+ eps x))) (cos x)) (-.f64 (sin.f64 (-.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1 binary64) x))) (cos.f64 x)))
#s(approx (sin (+ (* (PI) 1/2) (+ eps x))) (sin.f64 (-.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1 binary64) x))))
#s(approx (+ (* (PI) 1/2) (+ eps x)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (PI.f64))) x)) #s(literal 1 binary64)))))
#s(approx (+ eps x) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x))))) (sin.f64 x))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x))))))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x)))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))
#s(approx (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))))
#s(approx (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))))))
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x)))))
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))))
#s(approx (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x))))
#s(approx (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))) (.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))
#s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
#s(approx (- (cos eps) 1) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
#s(approx (- (cos eps) 1) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/40320 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64))))
#s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (cos eps) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos eps) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (- (sin (+ (* (PI) 1/2) (+ eps x))) (cos x)) (-.f64 (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 x)))
#s(approx (- (sin (+ (* (PI) 1/2) (+ eps x))) (cos x)) (-.f64 (+.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 eps (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (cos.f64 x)))
#s(approx (- (sin (+ (* (PI) 1/2) (+ eps x))) (cos x)) (-.f64 (+.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 eps (+.f64 (cos.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64))))))))) (cos.f64 x)))
#s(approx (- (sin (+ (* (PI) 1/2) (+ eps x))) (cos x)) (-.f64 (+.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 eps (+.f64 (cos.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64))))))))))) (cos.f64 x)))
#s(approx (sin (+ (* (PI) 1/2) (+ eps x))) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (sin (+ (* (PI) 1/2) (+ eps x))) (+.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 eps (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (sin (+ (* (PI) 1/2) (+ eps x))) (+.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 eps (+.f64 (cos.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64))))))))))
#s(approx (sin (+ (* (PI) 1/2) (+ eps x))) (+.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 eps (+.f64 (cos.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64))))))))))))
#s(approx (+ (* (PI) 1/2) (+ eps x)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 eps #s(literal 4 binary64)) (cos.f64 x))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps)))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps))))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps)))))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (cos.f64 x))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps)))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) eps)))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) (cos.f64 x)))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) eps)))))
#s(approx (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps))))))
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps)))))
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) eps)))))
#s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (.f64 eps (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps)))))
#s(approx (cos eps) (cos.f64 eps))
#s(approx (+ (* (PI) 1/2) (+ eps x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) eps) (/.f64 x eps)))))
#s(approx (+ eps x) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (* 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 (- (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 (- (sin (+ (* (PI) 1/2) (+ eps x))) (cos x)) (-.f64 (sin.f64 (-.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1 binary64) eps))) (cos.f64 x)))
#s(approx (sin (+ (* (PI) 1/2) (+ eps x))) (sin.f64 (-.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1 binary64) eps))))
#s(approx (+ (* (PI) 1/2) (+ eps x)) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64))) eps)) #s(literal 1 binary64)))))
#s(approx (+ eps x) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (- (* -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)))))

Calls

6 calls:

Time	Variable	Point
6.0ms	eps	0
4.0ms	x	0
4.0ms	x	inf
4.0ms	eps	-inf
4.0ms	eps	inf

rewrite150.0ms (1.6%)

Memory

20.5MiB live, 200.4MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	278
0	64	276
1	332	270
2	1498	270
0	4016	263

Stop Event

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

Counts

35 → 425

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

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

eval91.0ms (1.0%)

Memory: 0.5MiB live, 94.4MiB allocated; 35ms collecting garbage
Compiler: Compiled 18 912 to 3 505 computations (81.5% saved)

prune30.0ms (0.3%)

Memory

-11.4MiB live, 36.9MiB allocated; 5ms collecting garbage

Pruning

25 alts after pruning (22 fresh and 3 done)

	Pruned	Kept	Total
New	596	21	617
Fresh	4	1	5
Picked	3	2	5
Done	0	1	1
Total	603	25	628

Accuracy

100.0%

Counts

628 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.9%	(-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) (cos.f64 x))
✓	55.0%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
▶	82.8%	(.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))
	99.5%	#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))))
	53.5%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64)))
	79.9%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (sin.f64 x) (neg.f64 eps)))
	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps #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))))
	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps #s(approx (- ( 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 #s(literal 1/24 binary64) eps))))) (sin.f64 x))))
✓	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
	98.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) (sin.f64 x))))
	98.7%	#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))))
	98.3%	#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)) (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)))))))
▶	98.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))))
	97.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))))
	97.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))))
	54.7%	#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))))
▶	78.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(literal -1 binary64) #s(approx ( eps (sin x)) (*.f64 eps x))))
	97.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (fma.f64 eps (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
	24.3%	#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))))))
	23.4%	#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 (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))))))))
▶	98.1%	#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))))))))))
	97.7%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (.f64 eps x) (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
	98.1%	#s(approx (- (cos (+ x eps)) (cos 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))))))
	79.1%	#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 1 554 to 1 053 computations (32.2% saved)

sample0.0ms (0.0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
-1/2
1/6
-1
1/4
1
2
1/2
-2

Outputs
#s(literal -1/2 binary64)
#s(literal 6004799503160661/36028797018963968 binary64)
#s(literal -1 binary64)
#s(literal 1/4 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(literal -2 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 10 to 10 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series76.0ms (0.8%)

Memory

32.3MiB live, 77.4MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	956	6857

Stop Event

1×	iter-limit

Counts

51 → 245

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

Calls

6 calls:

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

rewrite173.0ms (1.9%)

Memory

-12.0MiB live, 131.5MiB allocated; 64ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	610
0	108	608
1	497	583
2	2127	583
0	4003	563

Stop Event

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

Counts

51 → 628

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

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

eval119.0ms (1.3%)

Memory: -0.0MiB live, 138.2MiB allocated; 20ms collecting garbage
Compiler: Compiled 34 226 to 5 470 computations (84.0% saved)

prune32.0ms (0.3%)

Memory

-2.4MiB live, 44.3MiB allocated; 2ms collecting garbage

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	825	18	843
Fresh	12	5	17
Picked	5	0	5
Done	1	2	3
Total	843	25	868

Accuracy

100.0%

Counts

868 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.0%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	98.5%	(.f64 (.f64 (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (.f64 (/.f64 (-.f64 (.f64 eps eps) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 eps #s(literal 0 binary64))) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
	99.7%	(.f64 (.f64 (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) #s(approx (sin ( (- (+ eps x) x) 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal -2 binary64))
▶	99.7%	(.f64 #s(approx ( (sin (* (+ (+ eps x) x) 1/2)) (sin (* (- (+ eps x) x) 1/2))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))))) #s(literal -2 binary64))
	99.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps))
	79.9%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (sin.f64 x) (neg.f64 eps)))
▶	98.1%	#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 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x #s(literal -1 binary64)) x))) eps))
✓	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
	98.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) (sin.f64 x))))
	98.7%	#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))))
	99.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (.f64 (fma.f64 #s(approx (- ( 1/24 (* eps (cos x))) (* -1/6 (sin x))) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps))) (.f64 (fma.f64 #s(approx (- ( 1/24 (* eps (cos x))) (* -1/6 (sin x))) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps))))
	98.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps)))))
	97.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 x #s(approx (+ (* 1/6 x) (* 1/4 eps)) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))))
	98.0%	#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 #s(approx (- ( x (+ (* 1/6 x) (* 1/4 eps))) 1) (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))))))
	97.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x #s(approx (- ( x (+ (* 1/6 x) (* 1/4 eps))) 1) #s(literal -1 binary64)))))))
	54.7%	#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))))
	79.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1))) (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))))
	54.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1))) (.f64 eps (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))
	53.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))
▶	34.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x))) x) (*.f64 #s(literal 1/4 binary64) eps)) x)) #s(literal 1/6 binary64))))))))
▶	78.9%	#s(approx (- (cos (+ x eps)) (cos x)) (neg.f64 #s(approx (* eps (sin x)) (*.f64 eps x))))
	24.3%	#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))))))
▶	98.3%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 eps x) #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal 1/4 binary64))) x) eps) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
	97.7%	#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 #s(approx (+ ( -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2))))) (*.f64 #s(literal -1 binary64) eps))))))
	47.7%	#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 (-.f64 (.f64 (fma.f64 (.f64 eps x) #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal 1/4 binary64))) x) eps) x) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))

Compiler

Compiled 1 798 to 1 198 computations (33.4% saved)

sample0.0ms (0.0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1/2
-2
-1/2
1/6
1/4
-1
3
1

Outputs
#s(literal 1/2 binary64)
#s(literal -2 binary64)
#s(literal -1/2 binary64)
#s(literal 6004799503160661/36028797018963968 binary64)
#s(literal 1/4 binary64)
#s(literal -1 binary64)
#s(literal 3 binary64)
#s(literal 1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 10 to 10 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series71.0ms (0.8%)

Memory

30.2MiB live, 75.4MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	888	6839

Stop Event

1×	iter-limit

Counts

55 → 248

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
11.0ms	eps	-inf
7.0ms	eps	inf
6.0ms	eps	0
5.0ms	x	inf
5.0ms	x	-inf

rewrite144.0ms (1.6%)

Memory

-17.9MiB live, 121.0MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	784
0	120	763
1	593	724
2	2435	724
0	4155	692

Stop Event

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

Counts

55 → 503

Calls

Call 1

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

Outputs
(.f64 #s(approx ( (sin (* (+ (+ eps x) x) 1/2)) (sin (* (- (+ eps x) x) 1/2))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal -2 binary64))
(.f64 #s(literal -2 binary64) #s(approx ( (sin (* (+ (+ eps x) x) 1/2)) (sin (* (- (+ eps x) x) 1/2))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* (- (+ eps x) x) 1/2))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(.f64 (-.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (fma.f64 #s(literal 2 binary64) x eps)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 1/2 binary64))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x 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) (fma.f64 #s(literal 2 binary64) x eps))))
(/.f64 (neg.f64 (-.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (fma.f64 #s(literal 2 binary64) x eps)))) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (fma.f64 #s(literal 2 binary64) x eps)))))) #s(literal -2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)) (.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (fma.f64 #s(literal 2 binary64) x eps)))) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (fma.f64 #s(literal 2 binary64) x eps)))) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (fma.f64 #s(literal 2 binary64) x eps)))))))
(neg.f64 (/.f64 (-.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (fma.f64 #s(literal 2 binary64) x eps)))) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal -2 binary64)))
(-.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 2 binary64)) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
eps
(sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) eps) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))
(neg.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -2 binary64) x) eps)))
(neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64)))
(neg.f64 (.f64 (-.f64 (.f64 #s(literal -2 binary64) x) eps) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 x eps) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (+.f64 x eps)))
(fma.f64 #s(literal 1/2 binary64) eps (*.f64 #s(literal 1/2 binary64) (+.f64 x x)))
(fma.f64 #s(literal 1/2 binary64) eps (*.f64 (+.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (+.f64 x eps) #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (+.f64 x eps) #s(literal 1/2 binary64)))
(fma.f64 eps #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 x x)))
(fma.f64 eps #s(literal 1/2 binary64) (*.f64 (+.f64 x x) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (+.f64 x eps) #s(literal 2 binary64)) (/.f64 (neg.f64 x) #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) (+.f64 x eps)))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x eps)) (.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (+.f64 x eps) #s(literal 1/2 binary64)))
(+.f64 (.f64 (+.f64 x eps) #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64)))
(+.f64 (/.f64 (+.f64 x eps) #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))
(+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 x eps) #s(literal 2 binary64)))
(+.f64 (/.f64 eps #s(literal 2 binary64)) (/.f64 (+.f64 x x) #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal 1/2 binary64) (+.f64 x x)))
(+.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 (+.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) eps)) eps)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x eps) x)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (+.f64 x eps))) (+.f64 x eps))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x eps))) (+.f64 x eps))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) x) eps)) eps)
(/.f64 (-.f64 (.f64 eps eps) (.f64 (+.f64 x x) (+.f64 x x))) (-.f64 eps (+.f64 x x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (+.f64 x eps) (+.f64 x eps))) (-.f64 #s(literal 0 binary64) eps))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (+.f64 x x) #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (.f64 (+.f64 x x) (+.f64 x x)) (.f64 eps (+.f64 x x)))))
(/.f64 (+.f64 (.f64 (.f64 x x) x) (pow.f64 (+.f64 x eps) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (+.f64 x eps) (+.f64 x eps)) (.f64 x (+.f64 x eps)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 x eps) (+.f64 x eps) (+.f64 (.f64 x x) (.f64 (+.f64 x eps) (neg.f64 x)))))
(/.f64 (-.f64 (.f64 eps eps) (.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) x))) (+.f64 eps (*.f64 #s(literal -2 binary64) x)))
(/.f64 (-.f64 (.f64 (+.f64 x eps) (+.f64 x eps)) (.f64 x x)) (-.f64 eps #s(literal 0 binary64)))
(/.f64 (+.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) (.f64 (.f64 x x) x)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (-.f64 (.f64 x x) (.f64 (+.f64 x eps) x))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (fma.f64 eps eps (fma.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) x) (.f64 eps (*.f64 #s(literal -2 binary64) x)))))
(neg.f64 (-.f64 (neg.f64 x) (+.f64 x eps)))
(neg.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) eps))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 eps) x)) x x)
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) eps)) eps x)
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x x)
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x eps)) eps x)
(fma.f64 (neg.f64 x) #s(literal -2 binary64) eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 #s(literal -2 binary64) (neg.f64 x) eps)
(fma.f64 x #s(literal 2 binary64) eps)
(-.f64 (+.f64 x x) (neg.f64 eps))
(-.f64 (+.f64 x eps) (neg.f64 x))
(-.f64 x (-.f64 (neg.f64 eps) x))
(-.f64 eps (-.f64 (neg.f64 x) x))
(-.f64 eps (+.f64 (neg.f64 x) (neg.f64 x)))
(-.f64 eps (neg.f64 (+.f64 x x)))
(-.f64 eps (*.f64 #s(literal -2 binary64) x))
(+.f64 (+.f64 x x) eps)
(+.f64 (+.f64 x eps) (neg.f64 (neg.f64 x)))
(+.f64 (+.f64 x eps) x)
(+.f64 x (+.f64 x eps))
(+.f64 eps (+.f64 x x))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
x
#s(approx (- (cos (+ x eps)) (cos x)) (neg.f64 #s(approx (* eps (sin x)) (*.f64 x eps))))
(neg.f64 #s(approx (* eps (sin x)) (*.f64 x eps)))
#s(approx (* eps (sin x)) (*.f64 x eps))
(*.f64 x eps)
(*.f64 eps x)
#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 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x #s(literal -1 binary64)) x))) eps))
(.f64 #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x #s(literal -1 binary64)) x))) eps)
(.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x #s(literal -1 binary64)) x))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x #s(literal -1 binary64)) x)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x #s(literal -1 binary64)) x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x #s(literal -1 binary64)) x))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x)) x) (.f64 #s(literal -1/2 binary64) eps))) (.f64 #s(literal -1/2 binary64) eps))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x #s(literal -1 binary64)) x) (.f64 #s(literal -1/2 binary64) eps))) (*.f64 #s(literal -1/2 binary64) eps))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x #s(literal -1 binary64)) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x #s(literal -1 binary64)) x)) (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) eps))) (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x #s(literal -1 binary64)) x) (*.f64 #s(literal -1/2 binary64) eps)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) eps)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x)) x) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x)) x))) (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x)) x)))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) eps) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x #s(literal -1 binary64)) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x #s(literal -1 binary64)) x) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) eps)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x #s(literal -1 binary64)) x) (.f64 #s(literal -1/2 binary64) eps)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) eps) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x)) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) eps) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x)) x) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x)) x) (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) x)) x)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) eps)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x #s(literal -1 binary64)) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x #s(literal -1 binary64)) x))) (-.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) x #s(literal -1 binary64)) x)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) eps) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x #s(literal -1 binary64)) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) eps) (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x #s(literal -1 binary64)) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x #s(literal -1 binary64)) x)) (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x #s(literal -1 binary64)) x)))))
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(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 eps x) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 eps x) #s(literal -1/2 binary64)) (.f64 (/.f64 eps x) #s(literal -1/2 binary64)) (.f64 #s(literal 1 binary64) (*.f64 (/.f64 eps x) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 (.f64 (/.f64 eps x) #s(literal 1/2 binary64)) (.f64 (/.f64 eps x) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 eps x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (.f64 (.f64 (/.f64 eps x) #s(literal 1/2 binary64)) (.f64 (/.f64 eps x) #s(literal 1/2 binary64))) (.f64 #s(literal 1 binary64) (.f64 (/.f64 eps x) #s(literal 1/2 binary64))))))
(neg.f64 (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) #s(literal -1 binary64)))
(fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))
(fma.f64 eps (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 eps (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(-.f64 (*.f64 (/.f64 eps x) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 eps x) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (/.f64 eps x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 eps x) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(*.f64 (/.f64 eps x) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(.f64 eps (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 eps)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 eps) #s(literal 1/2 binary64)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(/.f64 (*.f64 #s(literal -1/2 binary64) eps) (neg.f64 x))
(/.f64 (*.f64 #s(literal 1/2 binary64) eps) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) eps)
(*.f64 (neg.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 eps (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 eps #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 eps) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (neg.f64 eps)))
(/.f64 #s(literal 1 binary64) (/.f64 x eps))
(/.f64 eps x)
(neg.f64 (/.f64 eps (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 eps) x))

eval91.0ms (1.0%)

Memory: 23.6MiB live, 113.1MiB allocated; 9ms collecting garbage
Compiler: Compiled 39 391 to 5 684 computations (85.6% saved)

prune30.0ms (0.3%)

Memory

-6.8MiB live, 45.5MiB allocated; 6ms collecting garbage

Pruning

26 alts after pruning (22 fresh and 4 done)

	Pruned	Kept	Total
New	715	14	729
Fresh	10	8	18
Picked	3	2	5
Done	0	2	2
Total	728	26	754

Accuracy

100.0%

Counts

754 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.0%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	98.5%	(.f64 (.f64 (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (.f64 (/.f64 (-.f64 (.f64 eps eps) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 eps #s(literal 0 binary64))) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
	99.7%	(.f64 (.f64 (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) #s(approx (sin ( (- (+ eps x) x) 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal -2 binary64))
	99.7%	(.f64 #s(approx ( (sin (* (+ (+ eps x) x) 1/2)) (sin (* (- (+ eps x) x) 1/2))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 #s(approx (* 1/2 (- eps (* -2 x))) (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))) #s(literal -2 binary64))
	99.7%	(.f64 #s(approx ( (sin (* (+ (+ eps x) x) 1/2)) (sin (* (- (+ eps x) x) 1/2))) (.f64 #s(approx (sin ( 1/2 eps)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))))) #s(literal -2 binary64))
	99.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps))
	79.9%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (sin.f64 x) (neg.f64 eps)))
✓	98.1%	#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 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x #s(literal -1 binary64)) x))) eps))
	97.7%	#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 (fma.f64 #s(approx (+ ( 1/6 x) (* 1/4 eps)) (*.f64 #s(literal 1/4 binary64) eps)) x #s(literal -1 binary64)) x))) eps))
	98.0%	#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 (fma.f64 #s(approx (+ ( 1/6 x) (* 1/4 eps)) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x))) eps))
	54.8%	#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 #s(approx (+ ( (+ (* 1/6 x) (* 1/4 eps)) x) -1) (.f64 #s(literal 1/4 binary64) (.f64 eps x))) x))) eps))
	97.7%	#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 #s(approx (+ ( (+ (* 1/6 x) (* 1/4 eps)) x) -1) #s(literal -1 binary64)) x))) eps))
	54.7%	#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))
	34.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1))) (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) eps (/.f64 (fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) x)) (.f64 (*.f64 x x) x)))) eps))
✓	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
	98.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) (sin.f64 x))))
	98.7%	#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))))
	99.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (.f64 (fma.f64 #s(approx (- ( 1/24 (* eps (cos x))) (* -1/6 (sin x))) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps))) (.f64 (fma.f64 #s(approx (- ( 1/24 (* eps (cos x))) (* -1/6 (sin x))) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps))))
	34.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ 1 ( 1/2 (/ eps x))) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) eps)))) x) (.f64 #s(literal 1/4 binary64) eps)) x)) #s(literal 1/6 binary64))))))))
✓	78.9%	#s(approx (- (cos (+ x eps)) (cos x)) (neg.f64 #s(approx (* eps (sin x)) (*.f64 eps x))))
	97.7%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* -1/2 (* eps (cos x))) (sin x)) eps) (fma.f64 #s(literal -1 binary64) (.f64 eps x) (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
	24.3%	#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))))))
	98.3%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 (-.f64 (.f64 (.f64 eps (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps))) x) eps) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
	98.2%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( (* eps x) 1/6) (* (* eps eps) 1/4)) (.f64 #s(literal 1/6 binary64) (.f64 eps x))) x) eps) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
	97.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(approx (- (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) eps) (.f64 #s(literal -1 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
	47.7%	#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 (-.f64 (.f64 (.f64 eps (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps))) x) eps) x) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))

Compiler

Compiled 968 to 638 computations (34.1% saved)

regimes320.0ms (3.5%)

Memory

-17.1MiB live, 377.1MiB allocated; 55ms collecting garbage

Counts

4 → 1

7 → 1

9 → 1

14 → 1

24 → 1

33 → 1

43 → 1

44 → 1

48 → 1

60 → 1

64 → 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))))

Call 2

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

Outputs
#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)))))

Call 3

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

Outputs

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

Call 4

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

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

Call 5

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

Call 6

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

Call 7

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

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

Call 8

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

Outputs

(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) #s(approx (sin (* (- (+ eps x) x) 1/2)) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal -2 binary64))

Call 9

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

Outputs

(*.f64 #s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* (- (+ eps x) x) 1/2))) (*.f64 #s(approx (sin (* 1/2 eps)) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))) #s(literal -2 binary64))

Call 10

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)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x #s(approx (- ( x (+ (* 1/6 x) (* 1/4 eps))) 1) #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 #s(approx (+ ( (+ (* 1/6 x) (* 1/4 eps)) x) -1) #s(literal -1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(approx (- (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) eps) (.f64 #s(literal -1 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 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 #s(approx (+ ( (+ (* 1/6 x) (* 1/4 eps)) x) -1) (.f64 #s(literal 1/4 binary64) (.f64 eps x))) x))) eps))
#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 (fma.f64 #s(approx (+ ( 1/6 x) (* 1/4 eps)) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x))) eps))
#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 (fma.f64 #s(approx (+ ( 1/6 x) (* 1/4 eps)) (*.f64 #s(literal 1/4 binary64) eps)) x #s(literal -1 binary64)) 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 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 x #s(approx (+ (* 1/6 x) (* 1/4 eps)) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( (* eps x) 1/6) (* (* eps eps) 1/4)) (.f64 #s(literal 1/6 binary64) (.f64 eps x))) x) eps) x (.f64 (.f64 eps eps) #s(literal -1/2 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 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x #s(literal -1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) 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 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 (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x #s(approx (+ ( -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2))))) (*.f64 #s(literal -1 binary64) eps))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* -1/2 (* eps (cos x))) (sin x)) eps) (fma.f64 #s(literal -1 binary64) (.f64 eps x) (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1))) (.f64 eps (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1))) (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 (-.f64 (.f64 (.f64 eps (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps))) x) eps) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#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)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 eps x) #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal 1/4 binary64))) x) eps) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x #s(approx (- ( x (+ (* 1/6 x) (* 1/4 eps))) 1) (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1))) (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) eps (/.f64 (fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) x)) (.f64 (*.f64 x x) x)))) eps))
#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)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (.f64 (.f64 eps (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps))) x) eps) x) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))) (.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) (/.f64 (.f64 (-.f64 (.f64 (fma.f64 (.f64 eps x) #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal 1/4 binary64))) x) eps) x) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x))) x) (*.f64 #s(literal 1/4 binary64) eps)) x)) #s(literal 1/6 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))))))))))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ 1 ( 1/2 (/ eps x))) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) eps)))) x) (.f64 #s(literal 1/4 binary64) eps)) x)) #s(literal 1/6 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 (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 (.f64 (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) #s(approx (sin ( (- (+ eps x) x) 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal -2 binary64))
(.f64 #s(approx ( (sin (* (+ (+ eps x) x) 1/2)) (sin (* (- (+ eps x) x) 1/2))) (.f64 #s(approx (sin ( 1/2 eps)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))))) #s(literal -2 binary64))
(-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) (cos.f64 x))
#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 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
(.f64 #s(approx ( (sin (* (+ (+ eps x) x) 1/2)) (sin (* (- (+ eps x) x) 1/2))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 #s(approx (* 1/2 (- eps (* -2 x))) (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))) #s(literal -2 binary64))
#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(approx ( (sin (* (+ (+ eps x) x) 1/2)) (sin (* (- (+ eps x) x) 1/2))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))))) #s(literal -2 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps #s(approx (- ( 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 #s(literal 1/24 binary64) eps))))) (sin.f64 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))
#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)) #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))))))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (.f64 (/.f64 (-.f64 (.f64 eps eps) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 eps #s(literal 0 binary64))) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (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 eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (.f64 (cos.f64 x) #s(literal -1/2 binary64))) 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

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

Call 11

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)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x #s(approx (- ( x (+ (* 1/6 x) (* 1/4 eps))) 1) #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 #s(approx (+ ( (+ (* 1/6 x) (* 1/4 eps)) x) -1) #s(literal -1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(approx (- (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) eps) (.f64 #s(literal -1 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 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 #s(approx (+ ( (+ (* 1/6 x) (* 1/4 eps)) x) -1) (.f64 #s(literal 1/4 binary64) (.f64 eps x))) x))) eps))
#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 (fma.f64 #s(approx (+ ( 1/6 x) (* 1/4 eps)) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x))) eps))
#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 (fma.f64 #s(approx (+ ( 1/6 x) (* 1/4 eps)) (*.f64 #s(literal 1/4 binary64) eps)) x #s(literal -1 binary64)) 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 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 x #s(approx (+ (* 1/6 x) (* 1/4 eps)) (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( (* eps x) 1/6) (* (* eps eps) 1/4)) (.f64 #s(literal 1/6 binary64) (.f64 eps x))) x) eps) x (.f64 (.f64 eps eps) #s(literal -1/2 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 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x #s(literal -1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) 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 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 (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x #s(approx (+ ( -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2))))) (*.f64 #s(literal -1 binary64) eps))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* -1/2 (* eps (cos x))) (sin x)) eps) (fma.f64 #s(literal -1 binary64) (.f64 eps x) (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1))) (.f64 eps (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1))) (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 (-.f64 (.f64 (.f64 eps (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps))) x) eps) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#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)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 eps x) #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal 1/4 binary64))) x) eps) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x #s(approx (- ( x (+ (* 1/6 x) (* 1/4 eps))) 1) (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1))) (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) eps (/.f64 (fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) x)) (.f64 (*.f64 x x) x)))) eps))
#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)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (.f64 (.f64 eps (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps))) x) eps) x) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))) (.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) (/.f64 (.f64 (-.f64 (.f64 (fma.f64 (.f64 eps x) #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal 1/4 binary64))) x) eps) x) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x))) x) (*.f64 #s(literal 1/4 binary64) eps)) x)) #s(literal 1/6 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))))))))))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ 1 ( 1/2 (/ eps x))) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) eps)))) x) (.f64 #s(literal 1/4 binary64) eps)) x)) #s(literal 1/6 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 (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 (.f64 (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) #s(approx (sin ( (- (+ eps x) x) 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal -2 binary64))
(.f64 #s(approx ( (sin (* (+ (+ eps x) x) 1/2)) (sin (* (- (+ eps x) x) 1/2))) (.f64 #s(approx (sin ( 1/2 eps)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))))) #s(literal -2 binary64))
(-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) (cos.f64 x))
#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 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
(.f64 #s(approx ( (sin (* (+ (+ eps x) x) 1/2)) (sin (* (- (+ eps x) x) 1/2))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 #s(approx (* 1/2 (- eps (* -2 x))) (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))) #s(literal -2 binary64))
#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(approx ( (sin (* (+ (+ eps x) x) 1/2)) (sin (* (- (+ eps x) x) 1/2))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))))) #s(literal -2 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps #s(approx (- ( 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 #s(literal 1/24 binary64) eps))))) (sin.f64 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))
#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)) #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))))))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (.f64 (/.f64 (-.f64 (.f64 eps eps) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 eps #s(literal 0 binary64))) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (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 eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (.f64 (cos.f64 x) #s(literal -1/2 binary64))) 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 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)) (.f64 eps (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (.f64 (fma.f64 #s(approx (- ( 1/24 (* eps (cos x))) (* -1/6 (sin x))) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps))) (.f64 (fma.f64 #s(approx (- ( 1/24 (* eps (cos x))) (* -1/6 (sin x))) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps))))
#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 (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))))))))

Outputs

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

Calls

33 calls:

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

Results

Accuracy	Segments	Branch
78.9%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
78.9%	1	`x`
78.9%	1	`eps`
97.7%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
97.7%	1	`x`
97.7%	1	`eps`
97.9%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
97.9%	1	`x`
97.9%	1	`eps`
98.0%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
98.0%	1	`x`
98.0%	1	`eps`
98.2%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
98.2%	1	`x`
98.2%	1	`eps`
98.3%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
98.3%	1	`x`
98.3%	1	`eps`
98.8%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
98.8%	1	`x`
98.8%	1	`eps`
99.7%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.7%	1	`x`
99.7%	1	`eps`
99.7%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.7%	1	`x`
99.7%	1	`eps`
99.7%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.7%	1	`x`
99.7%	1	`eps`
99.8%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.8%	1	`x`
99.8%	1	`eps`

Compiler

Compiled 2 363 to 612 computations (74.1% saved)

derivations73.0ms (0.8%)

Memory

14.8MiB live, 62.0MiB allocated; 2ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 379 to 133 computations (64.9% saved)

preprocess100.0ms (1.1%)

Memory: 8.1MiB live, 148.7MiB allocated; 15ms collecting garbage
Compiler: Compiled 416 to 164 computations (60.6% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze49.0ms (0.5%)

sample7.2s (78.8%)

preprocess25.0ms (0.3%)

sample0.0ms (0.0%)

series16.0ms (0.2%)

rewrite229.0ms (2.5%)

eval33.0ms (0.4%)

prune11.0ms (0.1%)

sample13.0ms (0.1%)

series60.0ms (0.7%)

rewrite150.0ms (1.6%)

eval91.0ms (1.0%)

prune30.0ms (0.3%)

sample0.0ms (0.0%)

series76.0ms (0.8%)

rewrite173.0ms (1.9%)

eval119.0ms (1.3%)

prune32.0ms (0.3%)

sample0.0ms (0.0%)

series71.0ms (0.8%)

rewrite144.0ms (1.6%)

eval91.0ms (1.0%)

prune30.0ms (0.3%)

regimes320.0ms (3.5%)

derivations73.0ms (0.8%)

preprocess100.0ms (1.1%)

end0.0ms (0.0%)

Profiling