Metrics for 2cos (problem 3.3.5)

start0.0ms (0%)

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

analyze32.0ms (0.3%)

Memory

-3.7MiB live, 39.9MiB allocated; 5ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample7.1s (76.2%)

Memory

211.5MiB live, 8 819.4MiB allocated; 3.1s collecting garbage

Samples

2.8s	26 117×	0	invalid
2.6s	5 773×	2	valid
457.0ms	2 435×	1	valid
8.0ms	48×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 4.0s

ival-cos: 2.5s (63.1% of total)

adjust: 388.0ms (9.8% of total)

ival-fabs: 360.0ms (9.1% of total)

ival-<: 197.0ms (5% of total)

ival-add!: 179.0ms (4.5% of total)

ival-mult!: 133.0ms (3.3% of total)

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

ival-and: 63.0ms (1.6% of total)

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

Bogosity

preprocess43.0ms (0.5%)

Memory

-26.6MiB live, 62.2MiB allocated; 17ms 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
▶	52.0%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 14 to 12 computations (14.3% saved)

series9.0ms (0.1%)

Memory

23.5MiB live, 23.5MiB allocated; 0ms 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	x	0
1.0ms	eps	inf
1.0ms	eps	-inf
1.0ms	x	-inf
1.0ms	eps	0

rewrite152.0ms (1.6%)

Memory

12.7MiB live, 193.6MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	79	18
2	1158	18
0	8397	18

Stop Event

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

Counts

6 → 215

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

eval61.0ms (0.7%)

Memory: 4.7MiB live, 62.7MiB allocated; 43ms collecting garbage
Compiler: Compiled 5 336 to 1 225 computations (77% saved)

prune60.0ms (0.6%)

Memory

-23.5MiB live, 21.7MiB allocated; 6ms collecting garbage

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	231	13	244
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	231	14	245

Accuracy

99.8%

Counts

245 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.1%	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
	52.1%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
▶	52.0%	(-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) (cos.f64 x))
	52.0%	(-.f64 (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 x))
	52.0%	(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
✓	52.0%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
▶	50.9%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
	50.5%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
	50.7%	(-.f64 (cos.f64 #s(approx (+ x eps) eps)) (cos.f64 x))
▶	81.0%	(.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))
▶	50.4%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
▶	98.9%	#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))))
	98.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
	78.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x))))

Compiler

Compiled 369 to 288 computations (22% saved)

series64.0ms (0.7%)

Memory

-2.0MiB live, 86.8MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	707	3923

Stop Event

1×	iter-limit

Counts

40 → 165

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 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x))))) (sin.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)))
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))
(.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x))))
#s(literal -1/2 binary64)
(cos.f64 x)
x
(.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x)))
#s(literal 1/6 binary64)
(*.f64 eps (sin.f64 x))
(sin.f64 x)
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(cos.f64 eps)
#s(literal 1 binary64)
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(-.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)
(.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)
(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)) (* 1/6 (* eps (sin x))))) (sin x))) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x) (.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.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 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.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)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (*.f64 eps x))) #s(literal 1 binary64)))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/4 binary64) eps (.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)) (* 1/6 (* eps (sin x))))) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
#s(approx (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (*.f64 eps x))))))
#s(approx (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (fma.f64 #s(literal -1/2 binary64) eps (.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 #s(literal 1/4 binary64) eps)))))))
#s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64))
#s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps x)) #s(literal 1/2 binary64)))
#s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) eps (.f64 #s(literal 1/4 binary64) x))) #s(literal 1/2 binary64)))
#s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) eps (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/36 binary64) (.f64 eps x)))))) #s(literal 1/2 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx x x)
#s(approx (* 1/6 (* eps (sin x))) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))
#s(approx (* 1/6 (* eps (sin x))) (.f64 x (fma.f64 #s(literal -1/36 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) eps))))
#s(approx (* 1/6 (* eps (sin x))) (.f64 x (fma.f64 #s(literal 1/6 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/36 binary64) eps (.f64 #s(literal 1/720 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (* 1/6 (* eps (sin x))) (.f64 x (fma.f64 #s(literal 1/6 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/36 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/30240 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/720 binary64) eps))))))))
#s(approx (* eps (sin x)) (*.f64 eps x))
#s(approx (* eps (sin x)) (.f64 x (+.f64 eps (.f64 #s(literal -1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* eps (sin x)) (.f64 x (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) eps (.f64 #s(literal 1/120 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (* eps (sin x)) (.f64 x (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/120 binary64) eps))))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (cos (+ x eps)) (cos.f64 eps))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 eps) (.f64 #s(literal -1 binary64) (.f64 x (sin.f64 eps)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 eps))) (sin.f64 eps)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (.f64 #s(literal 1/6 binary64) (.f64 x (sin.f64 eps))))) (sin.f64 eps)))))
#s(approx (+ x eps) eps)
#s(approx (+ x eps) (+.f64 eps x))
#s(approx (* -1/2 (pow x 2)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (- (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 (* (* (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) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x))))) (sin.f64 x))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (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)) (* 1/6 (* eps (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 (+ (* -1/2 (cos x)) (* 1/6 (* eps (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 (cos x) (cos.f64 x))
#s(approx (* 1/6 (* eps (sin x))) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x))))
#s(approx (* eps (sin x)) (*.f64 eps (sin.f64 x)))
#s(approx (sin x) (sin.f64 x))
#s(approx (cos (+ x eps)) (cos.f64 (+.f64 eps x)))
#s(approx (+ x eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (+ 1 (* -1/2 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (- (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 (* (* (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 (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 x)))
#s(approx (cos (+ x eps)) (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))))
#s(approx (+ x eps) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (- (sin (+ (* (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 (* (* (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 (- (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 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 (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (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)) (* 1/6 (* eps (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 (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))) (sin.f64 x)))
#s(approx (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))))
#s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (- (cos eps) 1) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (- (cos eps) 1) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
#s(approx (- (cos eps) 1) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/40320 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64))))
#s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (cos eps) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos eps) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 x) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 x) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x))))) (sin.f64 x)))))
#s(approx (- (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 (* (* (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 (* (+ (+ 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))))))
#s(approx (sin (* (+ (+ eps x) x) 1/2)) (+.f64 (sin.f64 x) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (sin.f64 x) (.f64 #s(literal -1/48 binary64) (.f64 eps (cos.f64 x)))))))))
#s(approx (sin (* (- (+ eps 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)) (* 1/6 (* eps (sin x))))) (sin x))) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (sin.f64 x))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/6 binary64) (sin.f64 x))))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/6 binary64) (sin.f64 x))))))
#s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))))
#s(approx (+ x eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x 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) 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 (- (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)) (* 1/6 (* eps (sin x))))) (sin x))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) eps))))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (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 (sin.f64 x) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (.f64 #s(literal -1/6 binary64) (sin.f64 x))))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (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)))))
#s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) eps))))))
#s(approx (cos (+ x eps)) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))))
#s(approx (+ x eps) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (- (sin (+ (* (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 (* (* (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)))))

Calls

6 calls:

Time	Variable	Point
17.0ms	eps	inf
6.0ms	eps	0
5.0ms	x	0
5.0ms	x	inf
4.0ms	eps	-inf

rewrite150.0ms (1.6%)

Memory

43.7MiB live, 233.4MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	269
0	76	257
1	378	243
0	4614	233

Stop Event

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

Counts

40 → 797

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

eval114.0ms (1.2%)

Memory: -24.1MiB live, 258.1MiB allocated; 39ms collecting garbage
Compiler: Compiled 24 044 to 3 989 computations (83.4% saved)

prune30.0ms (0.3%)

Memory

-14.2MiB live, 79.9MiB allocated; 3ms collecting garbage

Pruning

26 alts after pruning (23 fresh and 3 done)

	Pruned	Kept	Total
New	816	18	834
Fresh	3	5	8
Picked	3	2	5
Done	0	1	1
Total	822	26	848

Accuracy

100.0%

Counts

848 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.1%	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
	52.1%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
✓	52.0%	(-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) (cos.f64 x))
▶	52.0%	(-.f64 (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 x))
	52.0%	(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
✓	52.0%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	50.9%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	50.7%	(-.f64 (cos.f64 #s(approx (+ x eps) eps)) (cos.f64 x))
	99.7%	(.f64 (.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64)))) #s(literal -2 binary64))
	99.5%	(.f64 (.f64 (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (.f64 (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (-.f64 eps #s(literal 0 binary64))) (+.f64 (/.f64 x (+.f64 eps x)) #s(literal 1 binary64))) (+.f64 eps x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
	81.1%	(.f64 (.f64 (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
	99.0%	(.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))
	98.0%	(.f64 #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(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))
✓	50.4%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
	50.4%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64)))
▶	98.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) eps (.f64 #s(literal 1/4 binary64) x))) #s(literal 1/2 binary64)))) (sin.f64 x))))
	98.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64))) (sin.f64 x))))
	98.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/4 binary64) eps (.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)))))))
▶	97.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.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 (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))))))
▶	52.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))))
	78.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))))
	52.0%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
	97.7%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))))))
	50.3%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (sin.f64 x)))))

Compiler

Compiled 1 277 to 897 computations (29.8% saved)

series108.0ms (1.2%)

Memory

-34.8MiB live, 114.2MiB allocated; 96ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	807	4978

Stop Event

1×	iter-limit

Counts

50 → 200

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

Calls

6 calls:

Time	Variable	Point
59.0ms	eps	0
5.0ms	x	-inf
5.0ms	x	inf
5.0ms	eps	-inf
4.0ms	eps	inf

rewrite185.0ms (2%)

Memory

14.0MiB live, 247.4MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	578
0	107	578
1	531	563
0	6265	530

Stop Event

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

Counts

50 → 730

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)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))))
(.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))
(*.f64 #s(literal -1/2 binary64) eps)
#s(literal -1/2 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (*.f64 eps x))) #s(literal 1 binary64)))))))
(.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (*.f64 eps x))) #s(literal 1 binary64))))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (*.f64 eps x))) #s(literal 1 binary64)))))
(fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (*.f64 eps x))) #s(literal 1 binary64))))
(.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (*.f64 eps x))) #s(literal 1 binary64)))
(-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 eps x))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 eps x)))
#s(literal 1/6 binary64)
(pow.f64 eps #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 #s(literal 1/4 binary64) (.f64 eps x))
#s(literal 1/4 binary64)
(*.f64 eps x)
#s(literal 1 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) eps (.f64 #s(literal 1/4 binary64) x))) #s(literal 1/2 binary64)))) (sin.f64 x))))
(.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) eps (.f64 #s(literal 1/4 binary64) x))) #s(literal 1/2 binary64)))) (sin.f64 x)))
(-.f64 (.f64 eps #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) eps (.f64 #s(literal 1/4 binary64) x))) #s(literal 1/2 binary64)))) (sin.f64 x))
(.f64 eps #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) eps (.f64 #s(literal 1/4 binary64) x))) #s(literal 1/2 binary64))))
#s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) eps (.f64 #s(literal 1/4 binary64) x))) #s(literal 1/2 binary64)))
(-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) eps (.f64 #s(literal 1/4 binary64) x))) #s(literal 1/2 binary64))
(.f64 x (fma.f64 #s(literal 1/6 binary64) eps (.f64 #s(literal 1/4 binary64) x)))
(fma.f64 #s(literal 1/6 binary64) eps (*.f64 #s(literal 1/4 binary64) x))
(*.f64 #s(literal 1/4 binary64) x)
(sin.f64 x)
(-.f64 (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 x))
(sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(-.f64 (neg.f64 x) eps)
(neg.f64 x)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
(cos.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) (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 (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x (+.f64 x eps)) #s(literal 1 binary64))) (+.f64 x eps))
(.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) x) eps))) eps)
(.f64 (+.f64 (/.f64 x (+.f64 x eps)) #s(literal 1 binary64)) (.f64 (+.f64 x eps) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (/.f64 x (+.f64 x eps)) #s(literal 1 binary64)) (/.f64 (+.f64 x eps) #s(literal 2 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) x) eps)) (*.f64 #s(literal 1/2 binary64) 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 #s(literal 1/2 binary64) (fma.f64 (.f64 (+.f64 x eps) (+.f64 x eps)) (+.f64 x eps) (.f64 (.f64 x x) x))) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x (-.f64 #s(literal 0 binary64) eps))))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 eps eps) (.f64 #s(literal 4 binary64) (.f64 x x)))) (fma.f64 #s(literal -2 binary64) x eps))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (.f64 eps eps) eps) (.f64 #s(literal -8 binary64) (.f64 (.f64 x x) x)))) (fma.f64 (.f64 #s(literal -2 binary64) x) (fma.f64 #s(literal -2 binary64) x eps) (.f64 eps eps)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal 2 binary64) x eps) (-.f64 eps #s(literal 0 binary64)))) (-.f64 eps #s(literal 0 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (+.f64 x eps) (+.f64 x eps)) (+.f64 x eps) (.f64 (.f64 x x) x)) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x (-.f64 #s(literal 0 binary64) eps))))
(/.f64 (.f64 (-.f64 (.f64 eps eps) (.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal 1/2 binary64)) (fma.f64 #s(literal -2 binary64) x eps))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) eps) (.f64 #s(literal -8 binary64) (.f64 (.f64 x x) x))) #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) x) (fma.f64 #s(literal -2 binary64) x eps) (.f64 eps eps)))
(/.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) (-.f64 eps #s(literal 0 binary64))) #s(literal 1/2 binary64)) (-.f64 eps #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) eps) #s(literal -2 binary64))
(/.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) (-.f64 eps #s(literal 0 binary64))) (.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (+.f64 x eps) (+.f64 x eps)) (+.f64 x eps) (.f64 (.f64 x x) x)) (.f64 (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x (-.f64 #s(literal 0 binary64) 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 (+.f64 (/.f64 x (+.f64 x eps)) #s(literal 1 binary64)) (+.f64 (/.f64 x eps) #s(literal 1 binary64))) eps)
(.f64 (.f64 (+.f64 (/.f64 x (+.f64 x eps)) #s(literal 1 binary64)) (+.f64 (/.f64 eps x) #s(literal 1 binary64))) x)
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) (-.f64 eps #s(literal 0 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (-.f64 eps #s(literal 0 binary64)))) (fma.f64 #s(literal 2 binary64) x eps))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) (-.f64 eps #s(literal 0 binary64))) (-.f64 (.f64 (.f64 (+.f64 x eps) (+.f64 x eps)) (+.f64 x eps)) (.f64 (.f64 x x) x))) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 (+.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x eps) x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) eps)) eps)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (+.f64 x eps))) (+.f64 x eps))
(*.f64 (+.f64 (/.f64 x (+.f64 x eps)) #s(literal 1 binary64)) (+.f64 x eps))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) x) eps)) eps)
(.f64 (-.f64 (.f64 eps eps) (.f64 #s(literal 4 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x eps)))
(.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) (-.f64 eps #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 eps #s(literal 0 binary64))))
(.f64 (fma.f64 (.f64 (+.f64 x eps) (+.f64 x eps)) (+.f64 x eps) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x (-.f64 #s(literal 0 binary64) eps)))))
(.f64 (-.f64 (.f64 (.f64 eps eps) eps) (.f64 #s(literal -8 binary64) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -2 binary64) x) (fma.f64 #s(literal -2 binary64) x eps) (.f64 eps eps))))
(*.f64 (+.f64 x eps) (+.f64 (/.f64 x (+.f64 x eps)) #s(literal 1 binary64)))
(.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) x) eps)))
(/.f64 (.f64 (+.f64 (/.f64 x (+.f64 x eps)) #s(literal 1 binary64)) (.f64 (+.f64 x eps) (-.f64 eps x))) (-.f64 eps x))
(/.f64 (.f64 (+.f64 (/.f64 x (+.f64 x eps)) #s(literal 1 binary64)) (.f64 (+.f64 x eps) (-.f64 x eps))) (-.f64 x eps))
(/.f64 (.f64 (+.f64 (/.f64 x (+.f64 x eps)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) x (.f64 (.f64 eps eps) eps))) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))
(/.f64 (.f64 (+.f64 (/.f64 x (+.f64 x eps)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) x (.f64 (.f64 eps eps) eps))) (fma.f64 x x (*.f64 eps (-.f64 eps x))))
(/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (-.f64 eps #s(literal 0 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x eps)))) (+.f64 x eps))
(/.f64 (fma.f64 x (-.f64 eps x) (*.f64 (+.f64 x eps) (-.f64 eps x))) (-.f64 eps x))
(/.f64 (fma.f64 x (-.f64 x eps) (*.f64 (+.f64 x eps) (-.f64 x eps))) (-.f64 x eps))
(/.f64 (fma.f64 x (fma.f64 x (-.f64 x eps) (.f64 eps eps)) (fma.f64 (.f64 x x) x (.f64 (.f64 eps eps) eps))) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))
(/.f64 (fma.f64 x (fma.f64 x x (.f64 eps (-.f64 eps x))) (fma.f64 (.f64 x x) x (.f64 (.f64 eps eps) eps))) (fma.f64 x x (*.f64 eps (-.f64 eps x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (+.f64 x eps) (+.f64 x eps))) (-.f64 #s(literal 0 binary64) eps))
(/.f64 (fma.f64 (.f64 eps eps) eps (pow.f64 (+.f64 x x) #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 eps (+.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (.f64 eps eps) (.f64 #s(literal 4 binary64) (*.f64 x x)))) (neg.f64 (fma.f64 #s(literal -2 binary64) x eps)))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 eps eps) eps) (.f64 #s(literal -8 binary64) (.f64 (.f64 x x) x)))) (neg.f64 (fma.f64 (.f64 #s(literal -2 binary64) x) (fma.f64 #s(literal -2 binary64) x eps) (*.f64 eps eps))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (-.f64 eps #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) eps))
(/.f64 (neg.f64 (fma.f64 (.f64 (+.f64 x eps) (+.f64 x eps)) (+.f64 x eps) (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 (+.f64 x eps) (+.f64 x eps) (.f64 x (-.f64 #s(literal 0 binary64) eps)))))
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(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 (neg.f64 x) eps))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (neg.f64 x) eps))
(fma.f64 (neg.f64 x) (+.f64 (/.f64 eps x) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 x) (+.f64 (/.f64 eps x) #s(literal 1 binary64)) (neg.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(fma.f64 (neg.f64 x) (+.f64 (/.f64 eps x) #s(literal 1 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 x) (+.f64 (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 x eps)) #s(literal 1 binary64)) (.f64 (neg.f64 eps) (+.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 x eps)) #s(literal 1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 x) eps))
(-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 x)) eps)
(-.f64 (/.f64 (.f64 (+.f64 x eps) (+.f64 x eps)) (-.f64 (-.f64 (neg.f64 x) eps) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (-.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (neg.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64))) (neg.f64 x)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 x eps))
(-.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(-.f64 (neg.f64 x) (-.f64 eps (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 x)) (neg.f64 eps))
(+.f64 (.f64 (+.f64 (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 x eps)) #s(literal 1 binary64)) (neg.f64 x)) (.f64 (+.f64 (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 x eps)) #s(literal 1 binary64)) (neg.f64 eps)))
(+.f64 (.f64 (neg.f64 x) (+.f64 (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 x eps)) #s(literal 1 binary64))) (.f64 (neg.f64 eps) (+.f64 (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 x eps)) #s(literal 1 binary64))))
(+.f64 (/.f64 (.f64 (.f64 (+.f64 x eps) (+.f64 x eps)) (-.f64 (neg.f64 x) eps)) (fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (neg.f64 x) eps)) (.f64 (+.f64 x eps) (+.f64 x eps)))) (/.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (neg.f64 x) eps)) (*.f64 (+.f64 x eps) (+.f64 x eps)))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (neg.f64 x) eps))
(+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 1/2 binary64)))
(+.f64 (-.f64 (neg.f64 x) eps) (neg.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(+.f64 (neg.f64 x) (+.f64 (neg.f64 eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(+.f64 (neg.f64 x) (-.f64 (neg.f64 eps) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(+.f64 (neg.f64 x) (neg.f64 (-.f64 eps (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(*.f64 (neg.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64))) eps)
(*.f64 (neg.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64))) x)
(*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) (neg.f64 eps))
(*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) (neg.f64 x))
(.f64 (.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 eps x)))
(.f64 (neg.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 eps eps) eps))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 eps (-.f64 eps x)))))
(*.f64 (neg.f64 x) (+.f64 (/.f64 eps x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 x x) (neg.f64 x) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 eps eps) (*.f64 (neg.f64 x) (neg.f64 eps)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 eps eps) eps)))) (neg.f64 (fma.f64 x x (.f64 eps (-.f64 eps x)))))
(/.f64 (*.f64 (+.f64 x eps) (-.f64 eps x)) (-.f64 x eps))
(/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (-.f64 eps x))
(/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 eps eps) eps)) (neg.f64 (fma.f64 x (-.f64 x eps) (.f64 eps eps))))
(/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 eps eps) eps)) (neg.f64 (fma.f64 x x (.f64 eps (-.f64 eps x)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 eps eps) eps))) (fma.f64 x (-.f64 x eps) (.f64 eps eps)))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 eps eps) eps))) (fma.f64 x x (.f64 eps (-.f64 eps x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps x) (*.f64 (+.f64 x eps) (-.f64 x eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (.f64 eps (-.f64 eps x))) (neg.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 eps eps) eps)))))
(neg.f64 (+.f64 x eps))
(-.f64 (/.f64 (.f64 x x) (-.f64 eps x)) (/.f64 (.f64 eps eps) (-.f64 eps x)))
(-.f64 (/.f64 (.f64 (.f64 x x) (neg.f64 x)) (fma.f64 x x (.f64 eps (-.f64 eps x)))) (/.f64 (.f64 (.f64 eps eps) eps) (fma.f64 x x (.f64 eps (-.f64 eps x)))))
(-.f64 (neg.f64 eps) x)
(-.f64 (neg.f64 x) (neg.f64 (neg.f64 eps)))
(-.f64 (neg.f64 x) eps)
(+.f64 (neg.f64 eps) (neg.f64 x))
(+.f64 (neg.f64 x) (neg.f64 eps))
(neg.f64 x)
(.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 #s(literal 1/2 binary64) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (PI.f64)))
(neg.f64 (/.f64 (PI.f64) #s(literal -2 binary64)))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)))
(PI.f64)
(sin.f64 (+.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 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))
(fma.f64 (sin.f64 x) (cos.f64 (.f64 (PI.f64) #s(literal -1/2 binary64))) (.f64 (cos.f64 x) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(cos.f64 (neg.f64 (fabs.f64 x)))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (fabs.f64 (fabs.f64 x)))
(cos.f64 (fabs.f64 x))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (.f64 (sin.f64 x) (cos.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)))) (.f64 (cos.f64 x) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))

eval157.0ms (1.7%)

Memory: 20.2MiB live, 306.2MiB allocated; 23ms collecting garbage
Compiler: Compiled 37 233 to 5 391 computations (85.5% saved)

prune73.0ms (0.8%)

Memory

10.7MiB live, 97.1MiB allocated; 21ms collecting garbage

Pruning

33 alts after pruning (30 fresh and 3 done)

	Pruned	Kept	Total
New	872	17	889
Fresh	5	13	18
Picked	4	1	5
Done	1	2	3
Total	882	33	915

Accuracy

100.0%

Counts

915 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.1%	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
	52.1%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
✓	52.0%	(-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) (cos.f64 x))
	52.0%	(-.f64 (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 x)) eps)) (cos.f64 x))
	52.0%	(-.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 x eps))) (cos.f64 x))
▶	52.0%	(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
✓	52.0%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	50.9%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	50.7%	(-.f64 (cos.f64 #s(approx (+ x eps) eps)) (cos.f64 x))
	99.0%	(.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))
	98.0%	(.f64 #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(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 (+.f64 x eps) x))))) #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))
	98.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (fma.f64 (fma.f64 #s(literal 1/6 binary64) eps (*.f64 #s(literal 1/4 binary64) x)) x #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps))
	97.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (.f64 #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (fma.f64 (fma.f64 #s(literal 1/6 binary64) eps (.f64 #s(literal 1/4 binary64) x)) x #s(literal -1/2 binary64))) eps))) (.f64 (.f64 #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (fma.f64 (fma.f64 #s(literal 1/6 binary64) eps (*.f64 #s(literal 1/4 binary64) x)) x #s(literal -1/2 binary64))) eps) eps)))
	98.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) eps (.f64 #s(literal 1/4 binary64) x))) #s(literal 1/2 binary64)))) #s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
	98.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64))) (sin.f64 x))))
▶	31.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) (.f64 (.f64 x eps) #s(literal 1/4 binary64))))) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) (.f64 (.f64 x eps) #s(literal 1/4 binary64))) x) (.f64 #s(literal -1/2 binary64) eps)))))
	49.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x eps) #s(literal 1/4 binary64)))) (.f64 (.f64 x eps) #s(literal 1/4 binary64)) (.f64 (*.f64 #s(literal 1/6 binary64) eps) eps)))))))
	97.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))))))
▶	47.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) eps) eps))) (.f64 (*.f64 #s(literal 1/6 binary64) eps) eps)))))))
	97.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x #s(approx (- (+ ( 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps x)) #s(literal 1 binary64))))))))
	47.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x #s(approx (- (+ ( 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) x (/.f64 #s(literal 1 binary64) eps)) eps))))))))))
	97.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x #s(approx (- (+ ( 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) (.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (.f64 #s(literal 1/4 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))))))))
▶	97.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x #s(approx (- (+ ( 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)))))))
	97.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) eps) x (fma.f64 (.f64 #s(literal 1/6 binary64) eps) eps #s(literal -1 binary64))) (/.f64 x (.f64 #s(literal -1/2 binary64) eps)) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) eps)))))
	97.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) eps) x (fma.f64 (.f64 #s(literal 1/6 binary64) eps) eps #s(literal -1 binary64))) x))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) eps) x (fma.f64 (.f64 #s(literal 1/6 binary64) eps) eps #s(literal -1 binary64))) x)))))
✓	52.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))))
	78.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))))
	50.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1))) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
	52.0%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
	97.7%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))))))
	50.3%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (sin.f64 x)))))

Compiler

Compiled 2 273 to 1 489 computations (34.5% saved)

series133.0ms (1.4%)

Memory

-37.9MiB live, 62.8MiB allocated; 43ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1105	6787

Stop Event

1×	iter-limit

Counts

53 → 229

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

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 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 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x) (.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.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 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.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)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (*.f64 eps x))) #s(literal 1 binary64)))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/4 binary64) eps (.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 (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)) (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)) (.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (*.f64 eps x))) #s(literal 1 binary64))))
#s(approx (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(approx (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 eps x))) #s(literal 1 binary64)))
#s(approx (+ (* -1/2 eps) (* x (* (+ 1 (/ (+ (* (* 1/4 eps) x) -1) (* (* 1/6 eps) eps))) (* (* 1/6 eps) eps)))) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))
#s(approx (+ (* -1/2 eps) (* x (* (+ 1 (/ (+ (* (* 1/4 eps) x) -1) (* (* 1/6 eps) eps))) (* (* 1/6 eps) eps)))) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (.f64 #s(literal 1/4 binary64) (*.f64 eps x))))))
#s(approx (* x (* (+ 1 (/ (+ (* (* 1/4 eps) x) -1) (* (* 1/6 eps) eps))) (* (* 1/6 eps) eps))) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))
#s(approx (* x (* (+ 1 (/ (+ (* (* 1/4 eps) x) -1) (* (* 1/6 eps) eps))) (* (* 1/6 eps) eps))) (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (.f64 #s(literal 1/4 binary64) (*.f64 eps x)))))
#s(approx (* (+ 1 (/ (+ (* (* 1/4 eps) x) -1) (* (* 1/6 eps) eps))) (* (* 1/6 eps) eps)) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))))))
#s(approx (* (+ 1 (/ (+ (* (* 1/4 eps) x) -1) (* (* 1/6 eps) eps))) (* (* 1/6 eps) eps)) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (.f64 #s(literal 1/4 binary64) (.f64 eps x))))
#s(approx (+ 1 (/ (+ (* (* 1/4 eps) x) -1) (* (* 1/6 eps) eps))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (+ 1 (/ (+ (* (* 1/4 eps) x) -1) (* (* 1/6 eps) eps))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/2 binary64) (/.f64 x eps))) (.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (/ (+ (* (* 1/4 eps) x) -1) (* (* 1/6 eps) eps)) (/.f64 #s(literal -6 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (/ (+ (* (* 1/4 eps) x) -1) (* (* 1/6 eps) eps)) (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 x eps)) (.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (+ (* (* 1/4 eps) x) -1) #s(literal -1 binary64))
#s(approx (+ (* (* 1/4 eps) x) -1) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps x)) #s(literal 1 binary64)))
#s(approx (+ (* (- 1 (/ 1 (+ (* (* eps eps) 1/6) (* (* x eps) 1/4)))) (* (+ (* (* eps eps) 1/6) (* (* x eps) 1/4)) x)) (* -1/2 eps)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 eps (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) eps))))))))
#s(approx (- 1 (/ 1 (+ (* (* eps eps) 1/6) (* (* x eps) 1/4)))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) (/.f64 x (pow.f64 eps #s(literal 3 binary64))))) (.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (- 1 (/ 1 (+ (* (* eps eps) 1/6) (* (* x eps) 1/4)))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -27/2 binary64) (/.f64 x (pow.f64 eps #s(literal 4 binary64))) (.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))))) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (- 1 (/ 1 (+ (* (* eps eps) 1/6) (* (* x eps) 1/4)))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (-.f64 (.f64 #s(literal 81/4 binary64) (/.f64 x (pow.f64 eps #s(literal 5 binary64)))) (.f64 #s(literal 27/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 4 binary64))))) (.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))))) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (/ 1 (+ (* (* eps eps) 1/6) (* (* x eps) 1/4))) (/.f64 #s(literal 6 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (/ 1 (+ (* (* eps eps) 1/6) (* (* x eps) 1/4))) (fma.f64 #s(literal -9 binary64) (/.f64 x (pow.f64 eps #s(literal 3 binary64))) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (/ 1 (+ (* (* eps eps) 1/6) (* (* x eps) 1/4))) (fma.f64 x (-.f64 (.f64 #s(literal 27/2 binary64) (/.f64 x (pow.f64 eps #s(literal 4 binary64)))) (.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (/ 1 (+ (* (* eps eps) 1/6) (* (* x eps) 1/4))) (fma.f64 x (-.f64 (.f64 x (fma.f64 #s(literal -81/4 binary64) (/.f64 x (pow.f64 eps #s(literal 5 binary64))) (.f64 #s(literal 27/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 4 binary64)))))) (.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (+ (* (* eps eps) 1/6) (* (* x eps) 1/4)) (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (+ (* (* eps eps) 1/6) (* (* x eps) 1/4)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 eps x))))
#s(approx (* (* x eps) 1/4) (.f64 #s(literal 1/4 binary64) (.f64 eps x)))
#s(approx (* x eps) (*.f64 eps x))
#s(approx (* (+ (* (* eps eps) 1/6) (* (* x eps) 1/4)) x) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
#s(approx (* (+ (* (* eps eps) 1/6) (* (* x eps) 1/4)) x) (.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (*.f64 eps x)))))
#s(approx (- (cos (+ x eps)) (sin (+ (* (PI) 1/2) x))) (-.f64 (cos.f64 eps) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (- (cos (+ x eps)) (sin (+ (* (PI) 1/2) x))) (-.f64 (+.f64 (cos.f64 eps) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 eps))))) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (- (cos (+ x eps)) (sin (+ (* (PI) 1/2) x))) (-.f64 (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 eps)) (.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 eps))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (- (cos (+ x eps)) (sin (+ (* (PI) 1/2) x))) (-.f64 (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1/6 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1/6 binary64) (sin.f64 eps)))) (.f64 #s(literal -1/2 binary64) (cos.f64 eps))) (.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 eps))))) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (cos (+ x eps)) (cos.f64 eps))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 eps) (.f64 #s(literal -1 binary64) (.f64 x (sin.f64 eps)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 eps))) (sin.f64 eps)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (.f64 #s(literal 1/6 binary64) (.f64 x (sin.f64 eps))))) (sin.f64 eps)))))
#s(approx (+ x eps) eps)
#s(approx (+ x eps) (+.f64 eps x))
#s(approx (sin (+ (* (PI) 1/2) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (sin (+ (* (PI) 1/2) x)) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (sin (+ (* (PI) 1/2) x)) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1/2 binary64) (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))))))
#s(approx (sin (+ (* (PI) 1/2) x)) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1/6 binary64) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))))))))
#s(approx (+ (* (PI) 1/2) x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (+ (* (PI) 1/2) x) (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (* (* (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 (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x))))) (sin.f64 x))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (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 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1))) (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1))) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (.f64 #s(literal 1/4 binary64) eps)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1))) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (.f64 #s(literal 1/4 binary64) eps))) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) (.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (.f64 #s(literal 1/4 binary64) eps)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* -1/2 eps) (* x (* (+ 1 (/ (+ (* (* 1/4 eps) x) -1) (* (* 1/6 eps) eps))) (* (* 1/6 eps) eps)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))) x) (.f64 #s(literal 1/4 binary64) eps))))
#s(approx (+ (* -1/2 eps) (* x (* (+ 1 (/ (+ (* (* 1/4 eps) x) -1) (* (* 1/6 eps) eps))) (* (* 1/6 eps) eps)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))) x) (.f64 #s(literal 1/4 binary64) eps)))))
#s(approx (* (+ 1 (/ (+ (* (* 1/4 eps) x) -1) (* (* 1/6 eps) eps))) (* (* 1/6 eps) eps)) (.f64 x (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))) x) (.f64 #s(literal 1/4 binary64) eps))))
#s(approx (+ 1 (/ (+ (* (* 1/4 eps) x) -1) (* (* 1/6 eps) eps))) (*.f64 #s(literal 3/2 binary64) (/.f64 x eps)))
#s(approx (+ 1 (/ (+ (* (* 1/4 eps) x) -1) (* (* 1/6 eps) eps))) (.f64 x (-.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
#s(approx (/ (+ (* (* 1/4 eps) x) -1) (* (* 1/6 eps) eps)) (.f64 x (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) eps)) (.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
#s(approx (+ (* (* 1/4 eps) x) -1) (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (- 1 (/ 1 (+ (* (* eps eps) 1/6) (* (* x eps) 1/4)))) (* (+ (* (* eps eps) 1/6) (* (* x eps) 1/4)) x)) (* -1/2 eps)) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 2/3 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))))) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (- 1 (/ 1 (+ (* (* eps eps) 1/6) (* (* x eps) 1/4)))) (* (+ (* (* eps eps) 1/6) (* (* x eps) 1/4)) x)) (* -1/2 eps)) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal -4/9 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 1/4 binary64) eps (fma.f64 #s(literal 4/9 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 2/3 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- 1 (/ 1 (+ (* (* eps eps) 1/6) (* (* x eps) 1/4)))) #s(literal 1 binary64))
#s(approx (- 1 (/ 1 (+ (* (* eps eps) 1/6) (* (* x eps) 1/4)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps x)))))
#s(approx (- 1 (/ 1 (+ (* (* eps eps) 1/6) (* (* x eps) 1/4)))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 4 binary64) (*.f64 eps x))))
#s(approx (- 1 (/ 1 (+ (* (* eps eps) 1/6) (* (* x eps) 1/4)))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -16/9 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 8/3 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 4 binary64) (*.f64 eps x))))
#s(approx (/ 1 (+ (* (* eps eps) 1/6) (* (* x eps) 1/4))) (/.f64 #s(literal 4 binary64) (*.f64 eps x)))
#s(approx (/ 1 (+ (* (* eps eps) 1/6) (* (* x eps) 1/4))) (/.f64 (-.f64 (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) eps)) (.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) x))) x))
#s(approx (/ 1 (+ (* (* eps eps) 1/6) (* (* x eps) 1/4))) (/.f64 (-.f64 (fma.f64 #s(literal 16/9 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) eps))) (.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) x))) x))
#s(approx (/ 1 (+ (* (* eps eps) 1/6) (* (* x eps) 1/4))) (/.f64 (-.f64 (fma.f64 #s(literal -32/27 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) eps))) (fma.f64 #s(literal -16/9 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) x)))) x))
#s(approx (+ (* (* eps eps) 1/6) (* (* x eps) 1/4)) (.f64 x (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (.f64 #s(literal 1/4 binary64) eps))))
#s(approx (* (+ (* (* eps eps) 1/6) (* (* x eps) 1/4)) x) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (.f64 #s(literal 1/4 binary64) eps))))
#s(approx (- (cos (+ x eps)) (sin (+ (* (PI) 1/2) x))) (-.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (cos (+ x eps)) (cos.f64 (+.f64 eps x)))
#s(approx (+ x eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (sin (+ (* (PI) 1/2) x)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* (PI) 1/2) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x)))))
#s(approx (* (* (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 (- (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 (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 eps x))) x) (.f64 #s(literal 1/4 binary64) eps))))
#s(approx (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) x) (.f64 #s(literal -1/4 binary64) eps)))))
#s(approx (+ (* -1/2 eps) (* x (* (+ 1 (/ (+ (* (* 1/4 eps) x) -1) (* (* 1/6 eps) eps))) (* (* 1/6 eps) eps)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 eps x))) x) (*.f64 #s(literal 1/4 binary64) eps))))
#s(approx (* (+ 1 (/ (+ (* (* 1/4 eps) x) -1) (* (* 1/6 eps) eps))) (* (* 1/6 eps) eps)) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))) x))))))
#s(approx (+ 1 (/ (+ (* (* 1/4 eps) x) -1) (* (* 1/6 eps) eps))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))) x)) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) eps))))))
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#s(approx (+ (* (- 1 (/ 1 (+ (* (* eps eps) 1/6) (* (* x eps) 1/4)))) (* (+ (* (* eps eps) 1/6) (* (* x eps) 1/4)) x)) (* -1/2 eps)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2/3 binary64) eps (.f64 #s(literal 2/3 binary64) eps)) (.f64 #s(literal -1/2 binary64) eps)) x))) x) (.f64 #s(literal 1/4 binary64) eps))))
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#s(approx (/ 1 (+ (* (* eps eps) 1/6) (* (* x eps) 1/4))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 16/9 binary64) (/.f64 eps x)) #s(literal 8/3 binary64)) x)) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) eps))) x)))
#s(approx (/ 1 (+ (* (* eps eps) 1/6) (* (* x eps) 1/4))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 32/27 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (.f64 #s(literal 16/9 binary64) eps)) x)) #s(literal 8/3 binary64)) x)) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) eps))) x)))
#s(approx (+ (* (* eps eps) 1/6) (* (* x eps) 1/4)) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1/4 binary64) eps (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
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#s(approx (cos (+ x eps)) (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))))
#s(approx (+ x eps) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (sin (+ (* (PI) 1/2) x)) (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal -1 binary64) x))))
#s(approx (+ (* (PI) 1/2) x) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) x)) #s(literal 1 binary64)))))
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#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))))))
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#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 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))))
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#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))
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#s(approx (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)) (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))))
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#s(approx (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) (-.f64 (.f64 eps (fma.f64 #s(literal 1/6 binary64) eps (.f64 #s(literal 1/4 binary64) x))) #s(literal 1 binary64)))
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#s(approx (* 1/6 eps) (*.f64 #s(literal 1/6 binary64) eps))
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#s(approx (- 1 (/ 1 (+ (* (* eps eps) 1/6) (* (* x eps) 1/4)))) (/.f64 (-.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -16/9 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x))) eps))
#s(approx (- 1 (/ 1 (+ (* (* eps eps) 1/6) (* (* x eps) 1/4)))) (/.f64 (-.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 eps (-.f64 (.f64 #s(literal 32/27 binary64) (/.f64 eps (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 16/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x))) eps))
#s(approx (/ 1 (+ (* (* eps eps) 1/6) (* (* x eps) 1/4))) (/.f64 (fma.f64 #s(literal -8/3 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x))) eps))
#s(approx (/ 1 (+ (* (* eps eps) 1/6) (* (* x eps) 1/4))) (/.f64 (fma.f64 eps (-.f64 (.f64 #s(literal 16/9 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x))) eps))
#s(approx (/ 1 (+ (* (* eps eps) 1/6) (* (* x eps) 1/4))) (/.f64 (fma.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -32/27 binary64) (/.f64 eps (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 16/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x))) eps))
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#s(approx (- (cos (+ x eps)) (sin (+ (* (PI) 1/2) x))) (-.f64 (+.f64 (cos.f64 x) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x))))) (sin.f64 x)))) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (cos (+ x eps)) (cos.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 (* 1/2 (- eps (* -2 x))) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (sin.f64 x))))
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#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/6 binary64) (sin.f64 x))))))
#s(approx (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps)))))
#s(approx (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps)))))
#s(approx (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))
#s(approx (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))))
#s(approx (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 x eps)))))
#s(approx (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 x eps))) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (+ 1 (/ (+ (* (* 1/4 eps) x) -1) (* (* 1/6 eps) eps))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x eps))))
#s(approx (+ 1 (/ (+ (* (* 1/4 eps) x) -1) (* (* 1/6 eps) eps))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x eps))) (/.f64 #s(literal 6 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* 1/4 eps) x) -1) (* (* 1/6 eps) eps)) (/.f64 (-.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) eps))) eps))
#s(approx (+ (* (* 1/4 eps) x) -1) (.f64 eps (-.f64 (.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))))
#s(approx (+ (* (- 1 (/ 1 (+ (* (* eps eps) 1/6) (* (* x eps) 1/4)))) (* (+ (* (* eps eps) 1/6) (* (* x eps) 1/4)) x)) (* -1/2 eps)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) x (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) (/.f64 (.f64 x (fma.f64 #s(literal -3/2 binary64) x (.f64 #s(literal 3/2 binary64) x))) (pow.f64 eps #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps)))))
#s(approx (- 1 (/ 1 (+ (* (* eps eps) 1/6) (* (* x eps) 1/4)))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -27/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (.f64 #s(literal 9 binary64) (/.f64 x (pow.f64 eps #s(literal 3 binary64)))))) (.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (/ 1 (+ (* (* eps eps) 1/6) (* (* x eps) 1/4))) (/.f64 (+.f64 #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) (/.f64 x eps))) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (/ 1 (+ (* (* eps eps) 1/6) (* (* x eps) 1/4))) (/.f64 (-.f64 (+.f64 #s(literal 6 binary64) (.f64 #s(literal 27/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))))) (.f64 #s(literal 9 binary64) (/.f64 x eps))) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (/ 1 (+ (* (* eps eps) 1/6) (* (* x eps) 1/4))) (/.f64 (-.f64 (+.f64 #s(literal 6 binary64) (.f64 #s(literal -81/4 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))) (fma.f64 #s(literal -27/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal 9 binary64) (/.f64 x eps)))) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (+ x eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x 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 (.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 (- (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)) (* 1/6 (* eps (sin x))))) (sin x))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) eps))))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (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 (sin.f64 x) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (.f64 #s(literal -1/6 binary64) (sin.f64 x))))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (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)))))
#s(approx (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) eps) (*.f64 #s(literal 1/6 binary64) x))))
#s(approx (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) (/.f64 x eps))) eps) (.f64 #s(literal 1/6 binary64) x))))
#s(approx (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) (/.f64 x eps)) eps) (.f64 #s(literal 1/6 binary64) x))))
#s(approx (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) x (/.f64 #s(literal 1 binary64) eps)) eps)))))
#s(approx (+ 1 (/ (+ (* (* 1/4 eps) x) -1) (* (* 1/6 eps) eps))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -3/2 binary64) x (.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) eps))) eps))))
#s(approx (/ (+ (* (* 1/4 eps) x) -1) (* (* 1/6 eps) eps)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -3/2 binary64) x (.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) eps))) eps)))
#s(approx (+ (* (* 1/4 eps) x) -1) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1/4 binary64) x (/.f64 #s(literal 1 binary64) eps)))))
#s(approx (+ (* (- 1 (/ 1 (+ (* (* eps eps) 1/6) (* (* x eps) 1/4)))) (* (+ (* (* eps eps) 1/6) (* (* x eps) 1/4)) x)) (* -1/2 eps)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (fma.f64 #s(literal -3/2 binary64) x (.f64 #s(literal 3/2 binary64) x))) eps))) eps) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) eps) (.f64 #s(literal 1/6 binary64) x))))
#s(approx (- 1 (/ 1 (+ (* (* eps eps) 1/6) (* (* x eps) 1/4)))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -9 binary64) x (.f64 #s(literal 27/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (/ 1 (+ (* (* eps eps) 1/6) (* (* x eps) 1/4))) (/.f64 (+.f64 #s(literal 6 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -27/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 #s(literal -9 binary64) x)) eps))) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (/ 1 (+ (* (* eps eps) 1/6) (* (* x eps) 1/4))) (/.f64 (+.f64 #s(literal 6 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -81/4 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) (.f64 #s(literal -27/2 binary64) (pow.f64 x #s(literal 2 binary64)))) eps)) (*.f64 #s(literal -9 binary64) x)) eps))) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (- (cos (+ x eps)) (sin (+ (* (PI) 1/2) x))) (-.f64 (cos.f64 (-.f64 x (.f64 #s(literal -1 binary64) eps))) (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64))))))
#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
36.0ms	x	0
7.0ms	x	-inf
6.0ms	eps	-inf
6.0ms	eps	inf
6.0ms	x	inf

rewrite240.0ms (2.6%)

Memory

11.7MiB live, 290.0MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	838
0	121	732
1	670	722
0	7375	681

Stop Event

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

Counts

53 → 1 115

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

Outputs
(.f64 #s(approx ( (sin (* (+ (+ eps x) x) 1/2)) (sin (* (- (+ eps x) x) 1/2))) (.f64 (sin.f64 #s(approx ( 1/2 (- eps (* -2 x))) (fma.f64 #s(literal 1/2 binary64) eps x))) (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 #s(approx ( 1/2 (- eps (* -2 x))) (fma.f64 #s(literal 1/2 binary64) eps x))) (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 #s(approx ( 1/2 (- eps (* -2 x))) (fma.f64 #s(literal 1/2 binary64) eps x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(.f64 (-.f64 (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) eps) #s(approx (* 1/2 (- eps (* -2 x))) (fma.f64 #s(literal 1/2 binary64) eps x)))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(approx (* 1/2 (- eps (* -2 x))) (fma.f64 #s(literal 1/2 binary64) eps x))))) #s(literal 1/2 binary64))
(.f64 (sin.f64 #s(approx ( 1/2 (- eps (* -2 x))) (fma.f64 #s(literal 1/2 binary64) eps x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 #s(approx (* 1/2 (- eps (* -2 x))) (fma.f64 #s(literal 1/2 binary64) eps x))))
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) eps) #s(approx ( 1/2 (- eps (* -2 x))) (fma.f64 #s(literal 1/2 binary64) eps x)))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(approx (* 1/2 (- eps (* -2 x))) (fma.f64 #s(literal 1/2 binary64) eps x)))))) #s(literal -2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 #s(approx (* 1/2 (- eps (* -2 x))) (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(approx ( 1/2 (- eps (* -2 x))) (fma.f64 #s(literal 1/2 binary64) eps x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) eps) #s(approx ( 1/2 (- eps (* -2 x))) (fma.f64 #s(literal 1/2 binary64) eps x)))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(approx (* 1/2 (- eps (* -2 x))) (fma.f64 #s(literal 1/2 binary64) eps x))))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) eps) #s(approx ( 1/2 (- eps (* -2 x))) (fma.f64 #s(literal 1/2 binary64) eps x)))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(approx (* 1/2 (- eps (* -2 x))) (fma.f64 #s(literal 1/2 binary64) eps x)))))))
(neg.f64 (/.f64 (-.f64 (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) eps) #s(approx ( 1/2 (- eps (* -2 x))) (fma.f64 #s(literal 1/2 binary64) eps x)))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(approx (* 1/2 (- eps (* -2 x))) (fma.f64 #s(literal 1/2 binary64) eps x))))) #s(literal -2 binary64)))
(-.f64 (/.f64 (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) eps) #s(approx ( 1/2 (- eps (* -2 x))) (fma.f64 #s(literal 1/2 binary64) eps x)))) #s(literal 2 binary64)) (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(approx (* 1/2 (- eps (* -2 x))) (fma.f64 #s(literal 1/2 binary64) eps x)))) #s(literal 2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 (neg.f64 eps) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (neg.f64 eps))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
(neg.f64 (*.f64 #s(literal -1/2 binary64) eps))
#s(literal 1/2 binary64)
eps
(sin.f64 #s(approx (* 1/2 (- eps (* -2 x))) (fma.f64 #s(literal 1/2 binary64) eps x)))
#s(approx (* 1/2 (- eps (* -2 x))) (fma.f64 #s(literal 1/2 binary64) eps x))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) eps))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) eps) x)) x)
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)) x)
(.f64 (-.f64 (.f64 x x) (.f64 (.f64 eps eps) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) eps))))
(.f64 (fma.f64 (.f64 x x) x (.f64 #s(literal 1/8 binary64) (.f64 (.f64 eps eps) eps))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) eps) (-.f64 (.f64 #s(literal 1/2 binary64) eps) x) (.f64 x x))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 x x)) (-.f64 (.f64 #s(literal 1/2 binary64) eps) x))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 eps eps) eps))) (fma.f64 x x (fma.f64 (.f64 eps eps) #s(literal 1/4 binary64) (.f64 x (.f64 #s(literal -1/2 binary64) eps)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 eps eps) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 x (.f64 #s(literal 1/2 binary64) eps))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x (.f64 #s(literal 1/8 binary64) (.f64 (.f64 eps eps) eps)))) (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) eps) (-.f64 (.f64 #s(literal 1/2 binary64) eps) x) (*.f64 x x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 eps eps) #s(literal 1/4 binary64))) (-.f64 x (.f64 #s(literal 1/2 binary64) eps)))
(/.f64 (fma.f64 (.f64 x x) x (.f64 #s(literal 1/8 binary64) (.f64 (.f64 eps eps) eps))) (fma.f64 (.f64 eps eps) #s(literal 1/4 binary64) (-.f64 (.f64 x x) (.f64 (.f64 x eps) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (.f64 x x) x (.f64 #s(literal 1/8 binary64) (.f64 (.f64 eps eps) eps))) (fma.f64 (.f64 #s(literal 1/2 binary64) eps) (-.f64 (.f64 #s(literal 1/2 binary64) eps) x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 #s(literal 1/2 binary64) eps)) (-.f64 (.f64 x x) (.f64 (.f64 eps eps) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) eps) (-.f64 (.f64 #s(literal 1/2 binary64) eps) x) (.f64 x x)) (fma.f64 (.f64 x x) x (.f64 #s(literal 1/8 binary64) (.f64 (*.f64 eps eps) eps)))))
(neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))
(fma.f64 (neg.f64 eps) #s(literal -1/2 binary64) x)
(fma.f64 #s(literal -1/2 binary64) (neg.f64 eps) x)
(fma.f64 #s(literal 1/2 binary64) eps x)
(fma.f64 eps #s(literal 1/2 binary64) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 #s(literal 1/2 binary64) eps))) (/.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (-.f64 x (*.f64 #s(literal 1/2 binary64) eps))))
(-.f64 (*.f64 #s(literal 1/2 binary64) eps) (neg.f64 x))
(-.f64 x (*.f64 #s(literal -1/2 binary64) eps))
(+.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 #s(literal 1/2 binary64) eps) (-.f64 (.f64 #s(literal 1/2 binary64) eps) x) (.f64 x x))) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 eps eps) eps)) (fma.f64 (.f64 #s(literal 1/2 binary64) eps) (-.f64 (.f64 #s(literal 1/2 binary64) eps) x) (*.f64 x x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)
(+.f64 x (*.f64 #s(literal 1/2 binary64) eps))
x
#s(literal -2 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(approx (- (+ ( 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) x))) eps))
(.f64 #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(approx (- (+ ( 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) x))) eps)
(.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(approx (- (+ ( 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) x))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(approx (- (+ ( 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) x)))
(.f64 (.f64 (fma.f64 #s(approx (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) (/.f64 x (*.f64 #s(literal -1/2 binary64) eps)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) eps)
(.f64 (.f64 (fma.f64 #s(approx (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) (/.f64 x (*.f64 #s(literal -1/2 binary64) eps)) #s(literal 1 binary64)) eps) #s(literal -1/2 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(approx (- (+ ( 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) x))) (.f64 #s(approx (- (+ ( 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) x))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 x) #s(approx (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64))) (.f64 #s(literal -1/2 binary64) eps))) (.f64 #s(literal -1/2 binary64) eps))
(.f64 (fma.f64 #s(approx (- (+ ( 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) (/.f64 x (.f64 #s(literal -1/2 binary64) eps)) #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) eps))
(.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 #s(approx (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) x) x) #s(approx (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(approx (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) x))))
(.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 eps eps) eps) (.f64 (.f64 (.f64 (.f64 #s(approx (- (+ ( 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) x) x) #s(approx (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64))) (.f64 #s(approx (- (+ ( 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(approx (- (+ ( 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) x) (-.f64 (.f64 #s(approx (- (+ ( 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) x) (.f64 #s(literal -1/2 binary64) eps)) (.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))))
(.f64 (.f64 #s(literal -1/2 binary64) eps) (fma.f64 #s(approx (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) (/.f64 x (*.f64 #s(literal -1/2 binary64) eps)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(approx (- (+ ( 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) x) x) #s(approx (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64))) (.f64 (.f64 eps eps) #s(literal 1/4 binary64))) (-.f64 (.f64 #s(approx (- (+ ( 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) x) (*.f64 #s(literal -1/2 binary64) eps)))
(/.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 eps eps) eps)) (pow.f64 (.f64 (neg.f64 x) #s(approx (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 eps eps) #s(literal 1/4 binary64) (fma.f64 (.f64 (.f64 #s(approx (- (+ ( 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) x) x) #s(approx (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 (neg.f64 x) #s(approx (- (+ ( 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 #s(approx (- (+ ( 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) x) x) #s(approx (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64))))) (neg.f64 (-.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(approx (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 eps eps) eps) (.f64 (.f64 (.f64 (.f64 #s(approx (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) x) x) #s(approx (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64))) (.f64 #s(approx (- (+ ( 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) x)))) (neg.f64 (fma.f64 (.f64 #s(approx (- (+ ( 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) x) (-.f64 (.f64 #s(approx (- (+ ( 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) x) (.f64 #s(literal -1/2 binary64) eps)) (.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 #s(approx (- (+ ( 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) x) x) #s(approx (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)))) (-.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(approx (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) x)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 eps eps) eps) (.f64 (.f64 (.f64 (.f64 #s(approx (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) x) x) #s(approx (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64))) (.f64 #s(approx (- (+ ( 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) x))) (fma.f64 (.f64 (.f64 #s(approx (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) x) x) #s(approx (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) x) #s(approx (- (+ ( 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64))))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 eps eps) eps) (.f64 (.f64 (.f64 (.f64 #s(approx (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) x) x) #s(approx (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64))) (.f64 #s(approx (- (+ ( 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) x))) (fma.f64 (.f64 #s(approx (- (+ ( 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) x) (-.f64 (.f64 #s(approx (- (+ ( 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) x) (.f64 #s(literal -1/2 binary64) eps)) (.f64 (*.f64 eps eps) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(approx (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) x)) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 #s(approx (- (+ ( 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) x) x) #s(approx (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(approx (- (+ ( 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) x) (-.f64 (.f64 #s(approx (- (+ ( 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) x) (.f64 #s(literal -1/2 binary64) eps)) (.f64 (.f64 eps eps) #s(literal 1/4 binary64))) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 eps eps) eps) (.f64 (.f64 (.f64 (.f64 #s(approx (- (+ ( 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) x) x) #s(approx (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64))) (.f64 #s(approx (- (+ ( 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) x)))))
(neg.f64 (-.f64 (.f64 (neg.f64 x) #s(approx (- (+ ( 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) eps)))
(fma.f64 (neg.f64 eps) #s(literal 1/2 binary64) (.f64 (neg.f64 (neg.f64 x)) #s(approx (- (+ ( 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64))))
(fma.f64 (neg.f64 eps) #s(literal 1/2 binary64) (neg.f64 (.f64 (neg.f64 x) #s(approx (- (+ ( 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)))))
(fma.f64 (neg.f64 eps) #s(literal 1/2 binary64) (.f64 #s(approx (- (+ ( 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) x))
(fma.f64 #s(approx (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))
(fma.f64 #s(literal -1/2 binary64) eps (.f64 (neg.f64 (neg.f64 x)) #s(approx (- (+ ( 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64))))
(fma.f64 #s(literal -1/2 binary64) eps (neg.f64 (.f64 (neg.f64 x) #s(approx (- (+ ( 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)))))
(fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(approx (- (+ ( 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) x))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 eps) (.f64 (neg.f64 (neg.f64 x)) #s(approx (- (+ ( 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 eps) (neg.f64 (.f64 (neg.f64 x) #s(approx (- (+ ( 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 eps) (.f64 #s(approx (- (+ ( 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) x))
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(.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (.f64 x (-.f64 x (.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 (/.f64 x (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (-.f64 x (.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (fma.f64 x x (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 x)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 x x))) (neg.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (.f64 x (-.f64 x (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 x x)) (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x))
(/.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (.f64 (.f64 x x) x)) (fma.f64 x x (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x))))
(/.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (.f64 x (-.f64 x (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (.f64 x (-.f64 x (.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (.f64 (*.f64 x x) x))))
(neg.f64 (-.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (neg.f64 x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) x)
(fma.f64 (.f64 #s(literal 1/2 binary64) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)) (neg.f64 (neg.f64 x)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)) x)
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 x)))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) x)
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (neg.f64 x)))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) x)
(fma.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 x)))
(fma.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) x)
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (neg.f64 x)))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) x)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (neg.f64 x)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) x)
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) x)
(-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 x))
(-.f64 x (*.f64 (neg.f64 (PI.f64)) #s(literal 1/2 binary64)))
(-.f64 x (*.f64 #s(literal -1/2 binary64) (PI.f64)))
(-.f64 x (neg.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (.f64 x (-.f64 x (.f64 (PI.f64) #s(literal 1/2 binary64)))))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (.f64 x (-.f64 x (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 x)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)
(+.f64 x (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(PI.f64)

eval179.0ms (1.9%)

Memory: 28.5MiB live, 298.0MiB allocated; 66ms collecting garbage
Compiler: Compiled 68 606 to 8 490 computations (87.6% saved)

prune48.0ms (0.5%)

Memory

1.7MiB live, 92.7MiB allocated; 11ms collecting garbage

Pruning

36 alts after pruning (30 fresh and 6 done)

	Pruned	Kept	Total
New	1 224	11	1 235
Fresh	6	19	25
Picked	2	3	5
Done	0	3	3
Total	1 232	36	1 268

Accuracy

100.0%

Counts

1 268 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.1%	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
	52.1%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
✓	52.0%	(-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) (cos.f64 x))
	52.0%	(-.f64 (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 x)) eps)) (cos.f64 x))
	52.0%	(-.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 x eps))) (cos.f64 x))
✓	52.0%	(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
✓	52.0%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	50.9%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	50.7%	(-.f64 (cos.f64 #s(approx (+ x eps) eps)) (cos.f64 x))
	98.0%	(.f64 #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(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 (+.f64 x eps) x))))) #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))) (fma.f64 eps #s(literal 1/2 binary64) x))))) #s(literal -2 binary64))
	99.0%	(.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 #s(approx (* 1/2 (- eps (* -2 x))) (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))) #s(literal -2 binary64))
	98.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (fma.f64 (fma.f64 #s(literal 1/6 binary64) eps (*.f64 #s(literal 1/4 binary64) x)) x #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps))
	97.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (.f64 #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (fma.f64 (fma.f64 #s(literal 1/6 binary64) eps (.f64 #s(literal 1/4 binary64) x)) x #s(literal -1/2 binary64))) eps))) (.f64 (.f64 #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (fma.f64 (fma.f64 #s(literal 1/6 binary64) eps (*.f64 #s(literal 1/4 binary64) x)) x #s(literal -1/2 binary64))) eps) eps)))
	98.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) eps (.f64 #s(literal 1/4 binary64) x))) #s(literal 1/2 binary64)))) #s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
	98.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64))) (sin.f64 x))))
✓	31.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) (.f64 (.f64 x eps) #s(literal 1/4 binary64))))) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) (.f64 (.f64 x eps) #s(literal 1/4 binary64))) x) (.f64 #s(literal -1/2 binary64) eps)))))
	31.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* eps eps) 1/6) (* (* x eps) 1/4)) (.f64 eps (fma.f64 #s(literal 1/6 binary64) eps (.f64 #s(literal 1/4 binary64) x)))))) (.f64 #s(approx (+ ( (* eps eps) 1/6) (* (* x eps) 1/4)) (.f64 eps (fma.f64 #s(literal 1/6 binary64) eps (.f64 #s(literal 1/4 binary64) x)))) x) (*.f64 #s(literal -1/2 binary64) eps)))))
	47.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 (.f64 (.f64 (fma.f64 (/.f64 #s(literal 6 binary64) (.f64 eps eps)) (fma.f64 (.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64)) #s(literal 1 binary64)) x) (.f64 eps eps)) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) eps)))))
	19.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(approx (- 1 (/ 1 (+ (* (* eps eps) 1/6) (* (* x eps) 1/4)))) (/.f64 #s(literal -4 binary64) (.f64 eps x))) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) (.f64 (.f64 x eps) #s(literal 1/4 binary64))) x) (.f64 #s(literal -1/2 binary64) eps)))))
	47.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* 1/4 eps) x) -1) #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) eps) eps))) (.f64 (.f64 #s(literal 1/6 binary64) eps) eps)))))))
	97.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x #s(approx (- (+ ( 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) (-.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 (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x #s(approx (- (+ ( 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)))))))
	97.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(approx (- (+ ( 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) x) x) #s(approx (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64))) (.f64 (.f64 eps eps) #s(literal 1/4 binary64))) (-.f64 (.f64 #s(approx (- (+ ( 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) x) (*.f64 #s(literal -1/2 binary64) eps))))))
	97.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(approx (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) x)) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 #s(approx (- (+ ( 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) x) x) #s(approx (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)))))))))
	97.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) eps) x (fma.f64 (.f64 #s(literal 1/6 binary64) eps) eps #s(literal -1 binary64))) (/.f64 x (.f64 #s(literal -1/2 binary64) eps)) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) eps)))))
	97.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(approx (- (+ ( 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) x))) (.f64 #s(approx (- (+ ( 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) x)))))
	97.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (.f64 (.f64 (fma.f64 #s(approx (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1) #s(literal -1 binary64)) (/.f64 x (*.f64 #s(literal -1/2 binary64) eps)) #s(literal 1 binary64)) eps) #s(literal -1/2 binary64)))))
✓	52.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))))
	78.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))))
	50.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1))) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
	77.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1))) (*.f64 #s(literal -1 binary64) x)))))
	52.0%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
	97.7%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))))))
	50.3%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (sin.f64 x)))))

Compiler

Compiled 1 452 to 899 computations (38.1% saved)

regimes212.0ms (2.3%)

Memory

7.2MiB live, 355.4MiB allocated; 64ms collecting garbage

Accuracy

Total -16.6b remaining (-79.4%)

Threshold costs -16.6b (-79.4%)

Counts

2 → 1

3 → 1

22 → 1

23 → 1

32 → 1

38 → 1

48 → 1

60 → 1

Calls

Call 1

Inputs

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

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

Outputs

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

Call 2

Inputs

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

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

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

Outputs

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

Call 3

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

Outputs

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

Call 4

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

Outputs

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

Call 5

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

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

Call 6

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

Outputs

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

Call 7

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

Call 8

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

Calls

24 calls:

40.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
18.0ms	eps
13.0ms	x
13.0ms	eps
11.0ms	x

Results

Accuracy	Segments	Branch
77.9%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
77.9%	1	`x`
77.9%	1	`eps`
97.7%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
97.7%	1	`x`
97.7%	1	`eps`
97.8%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
97.8%	1	`x`
97.8%	1	`eps`
97.8%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
97.8%	1	`x`
97.8%	1	`eps`
98.6%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
98.6%	1	`x`
98.6%	1	`eps`
98.8%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
98.8%	1	`x`
98.8%	1	`eps`
99.0%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.0%	1	`x`
99.0%	1	`eps`
99.7%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.7%	1	`x`
99.7%	1	`eps`

Compiler

Compiled 2 300 to 531 computations (76.9% saved)

derivations83.0ms (0.9%)

Memory

-32.9MiB live, 110.3MiB allocated; 6ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 345 to 111 computations (67.8% saved)

preprocess76.0ms (0.8%)

Memory: 18.1MiB live, 203.0MiB allocated; 16ms collecting garbage
Compiler: Compiled 382 to 142 computations (62.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze32.0ms (0.3%)

sample7.1s (76.2%)

preprocess43.0ms (0.5%)

series9.0ms (0.1%)

rewrite152.0ms (1.6%)

eval61.0ms (0.7%)

prune60.0ms (0.6%)

series64.0ms (0.7%)

rewrite150.0ms (1.6%)

eval114.0ms (1.2%)

prune30.0ms (0.3%)

series108.0ms (1.2%)

rewrite185.0ms (2%)

eval157.0ms (1.7%)

prune73.0ms (0.8%)

series133.0ms (1.4%)

rewrite240.0ms (2.6%)

eval179.0ms (1.9%)

prune48.0ms (0.5%)

regimes212.0ms (2.3%)

derivations83.0ms (0.9%)

preprocess76.0ms (0.8%)

end0.0ms (0%)

Profiling