Metrics for 2sin (example 3.3)

start0.0ms (0.0%)

Memory: 0.1MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze48.0ms (0.7%)

Memory

17.2MiB live, 48.5MiB allocated; 22ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample4.8s (73.5%)

Memory

58.0MiB live, 7 303.9MiB allocated; 2.2s collecting garbage

Samples

2.4s	25 918×	0	invalid
1.1s	5 600×	1	valid
169.0ms	2 656×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.4s

ival-sin: 695.0ms (29.5% of total)

ival-fabs: 653.0ms (27.8% of total)

ival-add!: 230.0ms (9.8% of total)

ival-<: 215.0ms (9.1% of total)

ival-sub!: 199.0ms (8.5% of total)

adjust: 152.0ms (6.5% of total)

ival-mult!: 136.0ms (5.8% of total)

ival-and: 60.0ms (2.6% of total)

ival-assert: 12.0ms (0.5% of total)

Bogosity

preprocess43.0ms (0.7%)

Memory

-19.9MiB live, 24.7MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	46
1	99	42
2	509	42
3	3308	42

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.3%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs

Outputs

series12.0ms (0.2%)

Memory

22.3MiB live, 22.3MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	488

Stop Event

1×	iter-limit

Counts

6 → 31

Calls

Call 1

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

Outputs
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 eps) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 eps) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/6 binary64) (cos.f64 eps))))))) #s(literal 1 binary64)))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (.f64 #s(literal -1/6 binary64) (.f64 x (cos.f64 eps)))))))))
#s(approx (+ x eps) eps)
#s(approx (+ x eps) (+.f64 eps x))
#s(approx x x)
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (sin (+ x eps)) (sin.f64 (+.f64 eps x)))
#s(approx (+ x eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (sin x) (sin.f64 x))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x)))
#s(approx (sin (+ x eps)) (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))))
#s(approx (+ x eps) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 x) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 x) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x)))))))))
#s(approx (+ x eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x)))
#s(approx (sin (+ x eps)) (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))))
#s(approx (+ x eps) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))

Calls

6 calls:

Time	Variable	Point
1.0ms	eps	inf
1.0ms	x	-inf
1.0ms	eps	-inf
1.0ms	x	0
0.0ms	x	inf

rewrite140.0ms (2.1%)

Memory

11.1MiB live, 196.9MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	64	18
2	260	18
3	1483	18
0	4032	18

Stop Event

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

Counts

6 → 170

Calls

Call 1

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

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

eval23.0ms (0.3%)

Memory: 9.3MiB live, 56.0MiB allocated; 2ms collecting garbage
Compiler: Compiled 4 076 to 772 computations (81.1% saved)

prune17.0ms (0.3%)

Memory

-21.3MiB live, 25.7MiB allocated; 7ms collecting garbage

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	185	12	197
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	185	13	198

Accuracy

100.0%

Counts

198 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.4%	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
	23.7%	(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))) (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))))))
▶	8.5%	(-.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 x) (PI.f64)) eps)) (sin.f64 x))
	8.5%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
✓	61.3%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶	59.1%	(-.f64 (sin.f64 (+.f64 x 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)))))))
	8.6%	(-.f64 (sin.f64 #s(approx (+ x eps) eps)) (sin.f64 x))
▶	99.8%	(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
	99.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))))))
	99.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x))))))))
▶	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
	97.9%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
▶	96.2%	#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))

Compiler

Compiled 477 to 302 computations (36.7% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
1/2
0
2
-1/2
1
-1/6
(PI)

Outputs
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(literal -6004799503160661/36028797018963968 binary64)
#s(literal 884279719003555/281474976710656 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 9 to 9 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series74.0ms (1.1%)

Memory

14.0MiB live, 93.5MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	635	2917

Stop Event

1×	iter-limit

Counts

39 → 145

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
23.0ms	x	-inf
6.0ms	eps	0
5.0ms	x	inf
4.0ms	x	0
3.0ms	eps	-inf

rewrite149.0ms (2.3%)

Memory

18.4MiB live, 120.8MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	218
0	73	208
1	345	204
2	1459	198
0	4378	191

Stop Event

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

Counts

39 → 454

Calls

Call 1

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

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

eval74.0ms (1.1%)

Memory: -3.9MiB live, 88.3MiB allocated; 11ms collecting garbage
Compiler: Compiled 14 680 to 2 781 computations (81.1% saved)

prune23.0ms (0.4%)

Memory

-17.4MiB live, 29.5MiB allocated; 2ms collecting garbage

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	564	15	579
Fresh	2	5	7
Picked	5	0	5
Done	0	1	1
Total	571	21	592

Accuracy

100.0%

Counts

592 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.4%	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
	23.7%	(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))) (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))))))
	8.5%	(-.f64 (sin.f64 (-.f64 (-.f64 (PI.f64) x) eps)) (sin.f64 x))
✓	61.3%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	59.1%	(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))
▶	8.6%	(-.f64 (sin.f64 #s(approx (+ x eps) eps)) (sin.f64 x))
	99.8%	(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))))
▶	99.9%	(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 (cos.f64 (.f64 (+.f64 x x) #s(literal -1/2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) eps))) (.f64 (sin.f64 (.f64 (+.f64 x x) #s(literal -1/2 binary64))) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)))))
	99.8%	(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))))
	99.7%	(.f64 (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) (sin.f64 (/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) eps) (PI.f64)) #s(literal 2 binary64))))
	98.7%	(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
	99.2%	(.f64 #s(approx ( (sin (* 1/2 (- eps 0))) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
▶	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps (*.f64 (cos.f64 x) eps)))
	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	99.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))))))
	97.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))))
▶	97.9%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
	96.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64)))))))))
	96.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal -1/2 binary64) x)))))))
▶	96.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x))))))
	96.2%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))

Compiler

Compiled 917 to 618 computations (32.6% saved)

sample0.0ms (0.0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1/2
0
2
-1/2
1

Outputs
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 7 to 7 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series83.0ms (1.3%)

Memory

26.0MiB live, 77.9MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	605	2996

Stop Event

1×	iter-limit

Counts

40 → 122

Calls

Call 1

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

Outputs
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (- (* (cos (* (+ x x) -1/2)) (cos (* -1/2 eps))) (* (sin (* (+ x x) -1/2)) (sin (* -1/2 eps))))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (- (* (cos (* (+ x x) -1/2)) (cos (* -1/2 eps))) (* (sin (* (+ x x) -1/2)) (sin (* -1/2 eps))))) (fma.f64 #s(literal 2 binary64) (.f64 x (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (- (* (cos (* (+ x x) -1/2)) (cos (* -1/2 eps))) (* (sin (* (+ x x) -1/2)) (sin (* -1/2 eps))))) (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 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) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (- (* (cos (* (+ x x) -1/2)) (cos (* -1/2 eps))) (* (sin (* (+ x x) -1/2)) (sin (* -1/2 eps))))) (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 2 binary64) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal -1 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal -1/3 binary64) (.f64 x (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))))))))
#s(approx (- (* (cos (* (+ x x) -1/2)) (cos (* -1/2 eps))) (* (sin (* (+ x x) -1/2)) (sin (* -1/2 eps)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (* (cos (* (+ x x) -1/2)) (cos (* -1/2 eps))) (* (sin (* (+ x x) -1/2)) (sin (* -1/2 eps)))) (+.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 x (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (- (* (cos (* (+ x x) -1/2)) (cos (* -1/2 eps))) (* (sin (* (+ x x) -1/2)) (sin (* -1/2 eps)))) (+.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (cos.f64 (.f64 #s(literal -1/2 binary64) eps)))) (.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)))))))
#s(approx (- (* (cos (* (+ x x) -1/2)) (cos (* -1/2 eps))) (* (sin (* (+ x x) -1/2)) (sin (* -1/2 eps)))) (+.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 #s(literal -1/6 binary64) (.f64 x (sin.f64 (.f64 #s(literal -1/2 binary64) eps)))))) (.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)))))))
#s(approx (* (cos (* (+ x x) -1/2)) (cos (* -1/2 eps))) (+.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) eps))))))
#s(approx (* (cos (* (+ x x) -1/2)) (cos (* -1/2 eps))) (+.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) eps))))))))
#s(approx (* (cos (* (+ x x) -1/2)) (cos (* -1/2 eps))) (+.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) eps))) (.f64 #s(literal 1/24 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) eps)))))))))
#s(approx (cos (* (+ x x) -1/2)) #s(literal 1 binary64))
#s(approx (cos (* (+ x x) -1/2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos (* (+ x x) -1/2)) (+.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 x) -1/2)) (+.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) -1/2) (*.f64 #s(literal -1 binary64) x))
#s(approx (+ x x) (*.f64 #s(literal 2 binary64) x))
#s(approx x x)
#s(approx (* (sin (* (+ x x) -1/2)) (sin (* -1/2 eps))) (.f64 #s(literal -1 binary64) (.f64 x (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (* (sin (* (+ x x) -1/2)) (sin (* -1/2 eps))) (.f64 x (fma.f64 #s(literal -1 binary64) (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)))))))
#s(approx (* (sin (* (+ x x) -1/2)) (sin (* -1/2 eps))) (.f64 x (fma.f64 #s(literal -1 binary64) (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 (.f64 #s(literal -1/2 binary64) eps))) (.f64 #s(literal 1/6 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps))))))))
#s(approx (* (sin (* (+ x x) -1/2)) (sin (* -1/2 eps))) (.f64 x (fma.f64 #s(literal -1 binary64) (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 #s(literal 1/5040 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)))))))))))
#s(approx (sin (* (+ x x) -1/2)) (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (sin (* (+ x x) -1/2)) (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))))
#s(approx (sin (* (+ x x) -1/2)) (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/120 binary64))))) #s(literal 1 binary64))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 eps) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 eps) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/6 binary64) (cos.f64 eps))))))) #s(literal 1 binary64)))))
#s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) eps)
#s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
#s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+.f64 eps (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+.f64 eps (.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))))
#s(approx (+ (cos x) (* -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x))))
#s(approx (+ (cos x) (* -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal -1/2 binary64) x)))))
#s(approx (+ (cos x) (* -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64)))))))
#s(approx (* -1/2 (* eps x)) (.f64 #s(literal -1/2 binary64) (.f64 eps x)))
#s(approx (* eps x) (*.f64 eps x))
#s(approx (* eps (cos x)) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* eps (cos x)) (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/24 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* eps (cos x)) (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) eps)))))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (.f64 #s(literal -1/6 binary64) (.f64 x (cos.f64 eps)))))))))
#s(approx (+ x eps) (+.f64 eps x))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (* (* (sin x) eps) -1/2) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (* (sin x) eps) -1/2) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/240 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/12 binary64) eps))))))
#s(approx (* (* (sin x) eps) -1/2) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/240 binary64) eps (.f64 #s(literal 1/10080 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))))
#s(approx (* (sin x) eps) (.f64 x (+.f64 eps (.f64 #s(literal -1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (sin x) eps) (.f64 x (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) eps (.f64 #s(literal 1/120 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (* (sin x) eps) (.f64 x (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/120 binary64) eps))))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (- (* (cos (* (+ x x) -1/2)) (cos (* -1/2 eps))) (* (sin (* (+ x x) -1/2)) (sin (* -1/2 eps))))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (-.f64 (.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (cos.f64 (.f64 #s(literal -1/2 binary64) eps))) (.f64 (sin.f64 (.f64 #s(literal -1 binary64) x)) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)))))))
#s(approx (- (* (cos (* (+ x x) -1/2)) (cos (* -1/2 eps))) (* (sin (* (+ x x) -1/2)) (sin (* -1/2 eps)))) (-.f64 (.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (cos.f64 (.f64 #s(literal -1/2 binary64) eps))) (.f64 (sin.f64 (.f64 #s(literal -1 binary64) x)) (sin.f64 (.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (* (cos (* (+ x x) -1/2)) (cos (* -1/2 eps))) (.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps))))
#s(approx (cos (* (+ x x) -1/2)) (cos.f64 (*.f64 #s(literal -1 binary64) x)))
#s(approx (* (sin (* (+ x x) -1/2)) (sin (* -1/2 eps))) (.f64 (sin.f64 (.f64 #s(literal -1 binary64) x)) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps))))
#s(approx (sin (* (+ x x) -1/2)) (sin.f64 (*.f64 #s(literal -1 binary64) x)))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
#s(approx (+ (cos x) (* -1/2 (* eps (sin x)))) (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))))
#s(approx (+ 1 (* -1/2 (* eps x))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (/.f64 #s(literal 1 binary64) x))))
#s(approx (* eps (cos x)) (*.f64 eps (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (sin (+ x eps)) (sin.f64 (+.f64 eps x)))
#s(approx (+ x eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (sin x) (sin.f64 x))
#s(approx (+ (* (* (* (sin x) eps) -1/2) eps) (* (cos x) eps)) (fma.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)) (.f64 eps (cos.f64 x))))
#s(approx (* (* (sin x) eps) -1/2) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))))
#s(approx (* (sin x) eps) (*.f64 eps (sin.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x)))
#s(approx (+ 1 (* -1/2 (* eps x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sin (+ x eps)) (sin.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 (* 1/2 (- eps 0))) 2) (- (* (cos (* (+ x x) -1/2)) (cos (* -1/2 eps))) (* (sin (* (+ x x) -1/2)) (sin (* -1/2 eps))))) (.f64 eps (cos.f64 (.f64 #s(literal -1 binary64) x))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (- (* (cos (* (+ x x) -1/2)) (cos (* -1/2 eps))) (* (sin (* (+ x x) -1/2)) (sin (* -1/2 eps))))) (.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 (*.f64 #s(literal -1 binary64) x)))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (- (* (cos (* (+ x x) -1/2)) (cos (* -1/2 eps))) (* (sin (* (+ x x) -1/2)) (sin (* -1/2 eps))))) (.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 2 binary64) (.f64 eps (fma.f64 #s(literal -1/16 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1/48 binary64) (cos.f64 (*.f64 #s(literal -1 binary64) x)))))))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (- (* (cos (* (+ x x) -1/2)) (cos (* -1/2 eps))) (* (sin (* (+ x x) -1/2)) (sin (* -1/2 eps))))) (.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal -1/24 binary64) (.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/16 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1/48 binary64) (cos.f64 (*.f64 #s(literal -1 binary64) x))))))))))))
#s(approx (* (sin (* 1/2 (- eps 0))) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (* (sin (* 1/2 (- eps 0))) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1920 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/24 binary64))))))
#s(approx (* (sin (* 1/2 (- eps 0))) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/1920 binary64) (.f64 #s(literal -1/322560 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/24 binary64))))))
#s(approx (sin (* 1/2 (- eps 0))) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (sin (* 1/2 (- eps 0))) (.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 0))) (.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 0))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3840 binary64) (.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/48 binary64))))))
#s(approx (- (* (cos (* (+ x x) -1/2)) (cos (* -1/2 eps))) (* (sin (* (+ x x) -1/2)) (sin (* -1/2 eps)))) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x))))))
#s(approx (- (* (cos (* (+ x x) -1/2)) (cos (* -1/2 eps))) (* (sin (* (+ x x) -1/2)) (sin (* -1/2 eps)))) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 (.f64 #s(literal -1 binary64) x)))) (.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal -1 binary64) x)))))))
#s(approx (- (* (cos (* (+ x x) -1/2)) (cos (* -1/2 eps))) (* (sin (* (+ x x) -1/2)) (sin (* -1/2 eps)))) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1/48 binary64) (.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal -1 binary64) x)))))))
#s(approx (* (cos (* (+ x x) -1/2)) (cos (* -1/2 eps))) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -1 binary64) x))))))
#s(approx (* (cos (* (+ x x) -1/2)) (cos (* -1/2 eps))) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 1/384 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -1 binary64) x))))))))
#s(approx (* (cos (* (+ x x) -1/2)) (cos (* -1/2 eps))) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/46080 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/384 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)))))))))
#s(approx (cos (* -1/2 eps)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (cos (* -1/2 eps)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/384 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/8 binary64)))))
#s(approx (cos (* -1/2 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 1/384 binary64) (*.f64 #s(literal -1/46080 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/8 binary64)))))
#s(approx (* -1/2 eps) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (* (sin (* (+ x x) -1/2)) (sin (* -1/2 eps))) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 (*.f64 #s(literal -1 binary64) x)))))
#s(approx (* (sin (* (+ x x) -1/2)) (sin (* -1/2 eps))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 1/48 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal -1 binary64) x)))))))
#s(approx (* (sin (* (+ x x) -1/2)) (sin (* -1/2 eps))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/3840 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/48 binary64) (sin.f64 (*.f64 #s(literal -1 binary64) x))))))))
#s(approx (* (sin (* (+ x x) -1/2)) (sin (* -1/2 eps))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/48 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/3840 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 1/645120 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal -1 binary64) x)))))))))))
#s(approx (sin (* -1/2 eps)) (.f64 eps (-.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (sin (* -1/2 eps)) (.f64 eps (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
#s(approx (sin (* -1/2 eps)) (.f64 eps (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/645120 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/3840 binary64))))) #s(literal 1/2 binary64))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 x) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 x) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x)))))))))
#s(approx (* (sin (* 1/2 (- eps 0))) 2) (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (sin (* 1/2 (- eps 0))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (sin (* -1/2 eps)) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))))
#s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))))
#s(approx (+ (cos x) (* -1/2 (* eps (sin x)))) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))))
#s(approx (+ 1 (* -1/2 (* eps x))) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) eps))))
#s(approx (+ x eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x)))
#s(approx (+ (cos x) (* -1/2 (* eps (sin x)))) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))))
#s(approx (+ 1 (* -1/2 (* eps x))) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))))
#s(approx (sin (+ x eps)) (sin.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
40.0ms	eps	inf
5.0ms	eps	-inf
5.0ms	x	inf
5.0ms	x	-inf
4.0ms	eps	0

rewrite132.0ms (2.0%)

Memory

-12.5MiB live, 124.9MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	301
0	78	263
1	328	249
2	1495	249
0	4135	238

Stop Event

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

Counts

40 → 458

Calls

Call 1

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

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

eval106.0ms (1.6%)

Memory: 10.9MiB live, 110.5MiB allocated; 13ms collecting garbage
Compiler: Compiled 19 708 to 2 917 computations (85.2% saved)

prune26.0ms (0.4%)

Memory

2.5MiB live, 48.7MiB allocated; 2ms collecting garbage

Pruning

28 alts after pruning (24 fresh and 4 done)

	Pruned	Kept	Total
New	565	10	575
Fresh	1	14	15
Picked	2	3	5
Done	0	1	1
Total	568	28	596

Accuracy

100.0%

Counts

596 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.4%	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
	23.7%	(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))) (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))))))
	8.5%	(-.f64 (sin.f64 (-.f64 (-.f64 (PI.f64) x) eps)) (sin.f64 x))
✓	61.3%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	59.1%	(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))
✓	8.6%	(-.f64 (sin.f64 #s(approx (+ x eps) eps)) (sin.f64 x))
▶	99.8%	(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cos.f64 (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1/2 binary64) eps))))
	99.4%	(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 (cos.f64 (.f64 (+.f64 x x) #s(literal -1/2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) eps))) (.f64 (sin.f64 (.f64 (+.f64 x x) #s(literal -1/2 binary64))) #s(approx (sin (* -1/2 eps)) (.f64 eps (-.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))
	99.8%	(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))))
	99.7%	(.f64 (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) (sin.f64 (/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) eps) (PI.f64)) #s(literal 2 binary64))))
▶	98.7%	(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
	99.3%	(.f64 #s(approx ( (sin (* 1/2 (- eps 0))) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (-.f64 (.f64 (cos.f64 (.f64 (+.f64 x x) #s(literal -1/2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) eps))) (.f64 (sin.f64 (.f64 (+.f64 x x) #s(literal -1/2 binary64))) (sin.f64 (.f64 #s(literal -1/2 binary64) eps)))))
	99.2%	(.f64 #s(approx ( (sin (* 1/2 (- eps 0))) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
✓	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps (*.f64 (cos.f64 x) eps)))
	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	96.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
▶	99.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))))))
	97.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))))
	97.9%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
	97.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (sin.f64 (+.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64))))))
✓	97.9%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
	96.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64)))))))))
	96.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal -1/2 binary64) x)))))))
	96.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) #s(approx (+ 1 (* -1/2 (* eps x))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (/.f64 #s(literal 1 binary64) x)))))))
	95.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) #s(approx (+ 1 (* -1/2 (* eps x))) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) eps)))))))
▶	96.2%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) eps))
▶	96.7%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
	96.2%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))

Compiler

Compiled 1 272 to 872 computations (31.4% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
1/2
2
-1
-1/2
-1/6
1/24

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

Samples

0.0ms

1×

valid

Compiler

Compiled 8 to 8 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series56.0ms (0.9%)

Memory

-16.3MiB live, 80.9MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	670	3922

Stop Event

1×	iter-limit

Counts

41 → 151

Calls

Call 1

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

Outputs
#s(approx (* (* (sin (* eps 1/2)) 2) (cos (+ (* -1 x) (* -1/2 eps)))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (* (sin (* eps 1/2)) 2) (cos (+ (* -1 x) (* -1/2 eps)))) (fma.f64 #s(literal 2 binary64) (.f64 x (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))
#s(approx (* (* (sin (* eps 1/2)) 2) (cos (+ (* -1 x) (* -1/2 eps)))) (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 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) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))))
#s(approx (* (* (sin (* eps 1/2)) 2) (cos (+ (* -1 x) (* -1/2 eps)))) (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 2 binary64) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal -1 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal -1/3 binary64) (.f64 x (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))))))))
#s(approx (cos (+ (* -1 x) (* -1/2 eps))) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (cos (+ (* -1 x) (* -1/2 eps))) (+.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 x (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (cos (+ (* -1 x) (* -1/2 eps))) (+.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (cos.f64 (.f64 #s(literal -1/2 binary64) eps)))) (.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)))))))
#s(approx (cos (+ (* -1 x) (* -1/2 eps))) (+.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 #s(literal -1/6 binary64) (.f64 x (sin.f64 (.f64 #s(literal -1/2 binary64) eps)))))) (.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)))))))
#s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (+ (* -1 x) (* -1/2 eps)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx x x)
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 eps) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 eps) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/6 binary64) (cos.f64 eps))))))) #s(literal 1 binary64)))))
#s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) eps)
#s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
#s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+.f64 eps (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+.f64 eps (.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))))
#s(approx (* eps (cos x)) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* eps (cos x)) (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/24 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* eps (cos x)) (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) eps)))))))
#s(approx (* -1/2 (* eps (pow x 2))) (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* eps (pow x 2)) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (* 2 x) eps) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (fma.f64 eps (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (fma.f64 x (fma.f64 eps (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/144 binary64) (pow.f64 eps #s(literal 2 binary64))))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (-.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/144 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal 1/2 binary64))))))))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
#s(approx (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))
#s(approx (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (fma.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/144 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))))
#s(approx (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) (*.f64 #s(literal -1/6 binary64) eps))
#s(approx (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/12 binary64) (*.f64 eps x))) #s(literal 1/2 binary64)))))
#s(approx (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/12 binary64) eps (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/144 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) #s(literal 1/2 binary64)))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
#s(approx (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/12 binary64) (*.f64 eps x))))))
#s(approx (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/144 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x) (.f64 #s(literal 1/12 binary64) eps)))))))
#s(approx (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))) #s(literal -1/6 binary64))
#s(approx (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps x)) #s(literal 1/6 binary64)))
#s(approx (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))) (-.f64 (.f64 x (fma.f64 #s(literal 1/24 binary64) eps (.f64 #s(literal 1/12 binary64) x))) #s(literal 1/6 binary64)))
#s(approx (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))) (-.f64 (.f64 x (fma.f64 #s(literal 1/24 binary64) eps (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/144 binary64) (.f64 eps x)))))) #s(literal 1/6 binary64)))
#s(approx (* 1/24 (* eps (sin x))) (.f64 #s(literal 1/24 binary64) (.f64 eps x)))
#s(approx (* 1/24 (* eps (sin x))) (.f64 x (fma.f64 #s(literal -1/144 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) eps))))
#s(approx (* 1/24 (* eps (sin x))) (.f64 x (fma.f64 #s(literal 1/24 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/144 binary64) eps (.f64 #s(literal 1/2880 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (* 1/24 (* eps (sin x))) (.f64 x (fma.f64 #s(literal 1/24 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/144 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/120960 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2880 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 (* eps 1/2)) 2) (cos (+ (* -1 x) (* -1/2 eps)))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (-.f64 (.f64 #s(literal -1/2 binary64) eps) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (cos (+ (* -1 x) (* -1/2 eps))) (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)))
#s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) x))
#s(approx (+ (* -1 x) (* -1/2 eps)) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
#s(approx (* eps (cos x)) (*.f64 eps (cos.f64 x)))
#s(approx (+ eps (* -1/2 (* eps (pow x 2)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))))
#s(approx (+ (* 2 x) eps) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (* 2 x) eps) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (sin.f64 x)))))))))
#s(approx (cos x) (cos.f64 x))
#s(approx (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (sin.f64 x))))))))
#s(approx (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))
#s(approx (sin x) (sin.f64 x))
#s(approx (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))
#s(approx (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))) (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (sin.f64 x)))))
#s(approx (* 1/24 (* eps (sin x))) (.f64 #s(literal 1/24 binary64) (.f64 eps (sin.f64 x))))
#s(approx (* eps (sin x)) (*.f64 eps (sin.f64 x)))
#s(approx (* (* (sin (* eps 1/2)) 2) (cos (+ (* -1 x) (* -1/2 eps)))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (cos (+ (* -1 x) (* -1/2 eps))) (cos.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps))))
#s(approx (+ (* -1 x) (* -1/2 eps)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x)))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (cos.f64 (.f64 #s(literal -1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))))
#s(approx (+ (* 2 x) eps) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64)))))
#s(approx (* (* (sin (* eps 1/2)) 2) (cos (+ (* -1 x) (* -1/2 eps)))) (.f64 eps (cos.f64 (.f64 #s(literal -1 binary64) x))))
#s(approx (* (* (sin (* eps 1/2)) 2) (cos (+ (* -1 x) (* -1/2 eps)))) (.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 (*.f64 #s(literal -1 binary64) x)))))))
#s(approx (* (* (sin (* eps 1/2)) 2) (cos (+ (* -1 x) (* -1/2 eps)))) (.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 2 binary64) (.f64 eps (fma.f64 #s(literal -1/16 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1/48 binary64) (cos.f64 (*.f64 #s(literal -1 binary64) x)))))))))))
#s(approx (* (* (sin (* eps 1/2)) 2) (cos (+ (* -1 x) (* -1/2 eps)))) (.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal -1/24 binary64) (.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/16 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1/48 binary64) (cos.f64 (*.f64 #s(literal -1 binary64) x))))))))))))
#s(approx (* (sin (* eps 1/2)) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (* (sin (* eps 1/2)) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1920 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/24 binary64))))))
#s(approx (* (sin (* eps 1/2)) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/1920 binary64) (.f64 #s(literal -1/322560 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/24 binary64))))))
#s(approx (sin (* eps 1/2)) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (sin (* eps 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 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 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3840 binary64) (.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/48 binary64))))))
#s(approx (cos (+ (* -1 x) (* -1/2 eps))) (cos.f64 (*.f64 #s(literal -1 binary64) x)))
#s(approx (cos (+ (* -1 x) (* -1/2 eps))) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x))))))
#s(approx (cos (+ (* -1 x) (* -1/2 eps))) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 (.f64 #s(literal -1 binary64) x)))) (.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal -1 binary64) x)))))))
#s(approx (cos (+ (* -1 x) (* -1/2 eps))) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1/48 binary64) (.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal -1 binary64) x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x))))))))
#s(approx (+ eps (* -1/2 (* eps (pow x 2)))) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
#s(approx (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))))
#s(approx (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))
#s(approx (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
#s(approx (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x)))))
#s(approx (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x))))
#s(approx (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))) (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))
#s(approx (* (* (sin (* eps 1/2)) 2) (cos (+ (* -1 x) (* -1/2 eps)))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (-.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (sin (* eps 1/2)) 2) (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (sin (* eps 1/2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (cos (+ (* -1 x) (* -1/2 eps))) (cos.f64 (-.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (+ (* -1 x) (* -1/2 eps)) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
#s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))))
#s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))))
#s(approx (+ (* 2 x) eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps)))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 eps #s(literal 4 binary64)) (sin.f64 x))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/24 binary64) (sin.f64 x)))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/24 binary64) (sin.f64 x))))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 3 binary64))))))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (sin.f64 x))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/24 binary64) (sin.f64 x)))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/24 binary64) (sin.f64 x))))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 3 binary64))))))))
#s(approx (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))))
#s(approx (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/24 binary64) (sin.f64 x)))))
#s(approx (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/24 binary64) (sin.f64 x))))))
#s(approx (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/24 binary64) (sin.f64 x)))))
#s(approx (+ (* -1 x) (* -1/2 eps)) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x)))
#s(approx (+ eps (* -1/2 (* eps (pow x 2)))) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (cos.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))
#s(approx (+ (* 2 x) eps) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))) eps) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps) (.f64 #s(literal 1/6 binary64) (cos.f64 x))) eps) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (cos.f64 x) eps))))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/6 binary64) (cos.f64 x))) eps) (.f64 #s(literal -1/24 binary64) (sin.f64 x))))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) eps) (.f64 #s(literal -1/6 binary64) (cos.f64 x))) eps) (*.f64 #s(literal -1/24 binary64) (sin.f64 x))))))
#s(approx (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))) eps) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))))
#s(approx (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (cos.f64 x) eps))))))

Calls

6 calls:

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

rewrite124.0ms (1.9%)

Memory

12.2MiB live, 148.5MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	352
0	88	346
1	381	343
2	1717	343
0	4107	335

Stop Event

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

Counts

41 → 506

Calls

Call 1

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

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

eval88.0ms (1.3%)

Memory: 12.6MiB live, 152.6MiB allocated; 18ms collecting garbage
Compiler: Compiled 20 817 to 3 406 computations (83.6% saved)

prune25.0ms (0.4%)

Memory

4.8MiB live, 50.5MiB allocated; 4ms collecting garbage

Pruning

31 alts after pruning (25 fresh and 6 done)

	Pruned	Kept	Total
New	614	14	628
Fresh	8	11	19
Picked	3	2	5
Done	0	4	4
Total	625	31	656

Accuracy

100.0%

Counts

656 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.4%	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
	23.7%	(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))) (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))))))
	8.5%	(-.f64 (sin.f64 (-.f64 (-.f64 (PI.f64) x) eps)) (sin.f64 x))
✓	61.3%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	59.1%	(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))
✓	8.6%	(-.f64 (sin.f64 #s(approx (+ x eps) eps)) (sin.f64 x))
	100.0%	(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x))))
	99.8%	(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -1/2 binary64) eps) x))))
	99.8%	(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cos.f64 (-.f64 (.f64 #s(literal -1/2 binary64) eps) x)))
	98.7%	(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal -1/2 binary64)))))
	98.7%	(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (sin.f64 (/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) eps) (PI.f64)) #s(literal 2 binary64))))
✓	98.7%	(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
	97.8%	(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (.f64 (/.f64 (-.f64 (.f64 (+.f64 x eps) (+.f64 x eps)) (.f64 x x)) (-.f64 (+.f64 x eps) x)) #s(literal -1/2 binary64))))
	98.7%	(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (.f64 (+.f64 (+.f64 x eps) x) #s(literal -1/2 binary64))))
	99.2%	(.f64 #s(approx ( (sin (* eps 1/2)) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (cos.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps))))
	99.3%	(.f64 #s(approx ( (sin (* 1/2 (- eps 0))) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (-.f64 (.f64 (cos.f64 (.f64 (+.f64 x x) #s(literal -1/2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) eps))) (.f64 (sin.f64 (.f64 (+.f64 x x) #s(literal -1/2 binary64))) (sin.f64 (.f64 #s(literal -1/2 binary64) eps)))))
✓	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps (*.f64 (cos.f64 x) eps)))
	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	99.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
	97.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) (*.f64 #s(literal -1/6 binary64) eps))))))
	97.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))))
	97.9%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
	97.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (sin.f64 (+.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64))))))
✓	97.9%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
	96.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
	96.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64)))))))))
	96.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal -1/2 binary64) x)))))))
✓	96.2%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) eps))
	96.7%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)))
	96.7%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) x) x eps)))
	32.2%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps (.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64)))) (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)))))

Compiler

Compiled 725 to 500 computations (31.0% saved)

regimes277.0ms (4.2%)

Memory

-17.2MiB live, 366.9MiB allocated; 39ms collecting garbage

Counts

1 → 1

7 → 1

14 → 1

16 → 1

17 → 1

20 → 1

22 → 1

23 → 1

27 → 1

36 → 1

48 → 1

52 → 1

Calls

Call 1

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

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

Call 2

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

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

Call 3

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) x) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) #s(approx (+ 1 (* -1/2 (* eps x))) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) eps)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) #s(approx (+ 1 (* -1/2 (* eps x))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal -1/2 binary64) x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps (.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64)))) (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))

Outputs

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

Call 4

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) x) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) #s(approx (+ 1 (* -1/2 (* eps x))) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) eps)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) #s(approx (+ 1 (* -1/2 (* eps x))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal -1/2 binary64) x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps (.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64)))) (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))

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

Call 5

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) x) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) #s(approx (+ 1 (* -1/2 (* eps x))) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) eps)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) #s(approx (+ 1 (* -1/2 (* eps x))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal -1/2 binary64) x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps (.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64)))) (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (sin.f64 (+.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64))))))

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

Call 6

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) x) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) #s(approx (+ 1 (* -1/2 (* eps x))) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) eps)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) #s(approx (+ 1 (* -1/2 (* eps x))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal -1/2 binary64) x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps (.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64)))) (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (sin.f64 (+.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) (*.f64 #s(literal -1/6 binary64) eps))))))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))

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

Call 7

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) x) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) #s(approx (+ 1 (* -1/2 (* eps x))) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) eps)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) #s(approx (+ 1 (* -1/2 (* eps x))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal -1/2 binary64) x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps (.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64)))) (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (sin.f64 (+.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) (*.f64 #s(literal -1/6 binary64) eps))))))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))
(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (.f64 (+.f64 (+.f64 x eps) x) #s(literal -1/2 binary64))))

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

Call 8

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) x) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) #s(approx (+ 1 (* -1/2 (* eps x))) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) eps)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) #s(approx (+ 1 (* -1/2 (* eps x))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal -1/2 binary64) x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps (.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64)))) (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (sin.f64 (+.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) (*.f64 #s(literal -1/6 binary64) eps))))))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))
(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (.f64 (+.f64 (+.f64 x eps) x) #s(literal -1/2 binary64))))
(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (sin.f64 (/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) eps) (PI.f64)) #s(literal 2 binary64))))

Outputs

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

Call 9

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) x) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) #s(approx (+ 1 (* -1/2 (* eps x))) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) eps)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) #s(approx (+ 1 (* -1/2 (* eps x))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal -1/2 binary64) x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps (.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64)))) (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (sin.f64 (+.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) (*.f64 #s(literal -1/6 binary64) eps))))))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))
(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (.f64 (+.f64 (+.f64 x eps) x) #s(literal -1/2 binary64))))
(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (sin.f64 (/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) eps) (PI.f64)) #s(literal 2 binary64))))
(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal -1/2 binary64)))))
(-.f64 (sin.f64 (+.f64 x 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)))))))
(-.f64 (sin.f64 #s(approx (+ x eps) eps)) (sin.f64 x))
(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (.f64 (/.f64 (-.f64 (.f64 (+.f64 x eps) (+.f64 x eps)) (.f64 x x)) (-.f64 (+.f64 x eps) x)) #s(literal -1/2 binary64))))

Outputs

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

Call 10

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) x) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) #s(approx (+ 1 (* -1/2 (* eps x))) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) eps)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) #s(approx (+ 1 (* -1/2 (* eps x))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal -1/2 binary64) x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps (.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64)))) (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (sin.f64 (+.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) (*.f64 #s(literal -1/6 binary64) eps))))))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))
(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (.f64 (+.f64 (+.f64 x eps) x) #s(literal -1/2 binary64))))
(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (sin.f64 (/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) eps) (PI.f64)) #s(literal 2 binary64))))
(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal -1/2 binary64)))))
(-.f64 (sin.f64 (+.f64 x 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)))))))
(-.f64 (sin.f64 #s(approx (+ x eps) eps)) (sin.f64 x))
(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (.f64 (/.f64 (-.f64 (.f64 (+.f64 x eps) (+.f64 x eps)) (.f64 x x)) (-.f64 (+.f64 x eps) x)) #s(literal -1/2 binary64))))
(.f64 #s(approx ( (sin (* 1/2 (- eps 0))) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
(.f64 #s(approx ( (sin (* eps 1/2)) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (cos.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 (-.f64 (PI.f64) x) eps)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 x) (PI.f64)) eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps (*.f64 (cos.f64 x) eps)))

Outputs

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

Call 11

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) x) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) #s(approx (+ 1 (* -1/2 (* eps x))) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) eps)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) #s(approx (+ 1 (* -1/2 (* eps x))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal -1/2 binary64) x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps (.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64)))) (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (sin.f64 (+.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) (*.f64 #s(literal -1/6 binary64) eps))))))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))
(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (.f64 (+.f64 (+.f64 x eps) x) #s(literal -1/2 binary64))))
(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (sin.f64 (/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) eps) (PI.f64)) #s(literal 2 binary64))))
(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal -1/2 binary64)))))
(-.f64 (sin.f64 (+.f64 x 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)))))))
(-.f64 (sin.f64 #s(approx (+ x eps) eps)) (sin.f64 x))
(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (.f64 (/.f64 (-.f64 (.f64 (+.f64 x eps) (+.f64 x eps)) (.f64 x x)) (-.f64 (+.f64 x eps) x)) #s(literal -1/2 binary64))))
(.f64 #s(approx ( (sin (* 1/2 (- eps 0))) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
(.f64 #s(approx ( (sin (* eps 1/2)) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (cos.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 (-.f64 (PI.f64) x) eps)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 x) (PI.f64)) eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps (*.f64 (cos.f64 x) eps)))
(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cos.f64 (-.f64 (.f64 #s(literal -1/2 binary64) eps) x)))
(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))))
(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cos.f64 (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1/2 binary64) eps))))
(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -1/2 binary64) eps) x))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
(.f64 (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) (sin.f64 (/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) eps) (PI.f64)) #s(literal 2 binary64))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))))))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
(.f64 #s(approx ( (sin (* 1/2 (- eps 0))) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (-.f64 (.f64 (cos.f64 (.f64 (+.f64 x x) #s(literal -1/2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) eps))) (.f64 (sin.f64 (.f64 (+.f64 x x) #s(literal -1/2 binary64))) (sin.f64 (.f64 #s(literal -1/2 binary64) eps)))))

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

Call 12

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) x) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) #s(approx (+ 1 (* -1/2 (* eps x))) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) eps)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) #s(approx (+ 1 (* -1/2 (* eps x))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal -1/2 binary64) x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps (.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64)))) (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (sin.f64 (+.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) (*.f64 #s(literal -1/6 binary64) eps))))))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64) x)))
(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (.f64 (+.f64 (+.f64 x eps) x) #s(literal -1/2 binary64))))
(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (sin.f64 (/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) eps) (PI.f64)) #s(literal 2 binary64))))
(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal -1/2 binary64)))))
(-.f64 (sin.f64 (+.f64 x 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)))))))
(-.f64 (sin.f64 #s(approx (+ x eps) eps)) (sin.f64 x))
(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (.f64 (/.f64 (-.f64 (.f64 (+.f64 x eps) (+.f64 x eps)) (.f64 x x)) (-.f64 (+.f64 x eps) x)) #s(literal -1/2 binary64))))
(.f64 #s(approx ( (sin (* 1/2 (- eps 0))) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
(.f64 #s(approx ( (sin (* eps 1/2)) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (cos.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 (-.f64 (PI.f64) x) eps)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 x) (PI.f64)) eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps (*.f64 (cos.f64 x) eps)))
(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cos.f64 (-.f64 (.f64 #s(literal -1/2 binary64) eps) x)))
(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))))
(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cos.f64 (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1/2 binary64) eps))))
(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -1/2 binary64) eps) x))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
(.f64 (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) (sin.f64 (/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) eps) (PI.f64)) #s(literal 2 binary64))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))))))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
(.f64 #s(approx ( (sin (* 1/2 (- eps 0))) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (-.f64 (.f64 (cos.f64 (.f64 (+.f64 x x) #s(literal -1/2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) eps))) (.f64 (sin.f64 (.f64 (+.f64 x x) #s(literal -1/2 binary64))) (sin.f64 (.f64 #s(literal -1/2 binary64) eps)))))
(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 (cos.f64 (.f64 (+.f64 x x) #s(literal -1/2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) eps))) (.f64 (sin.f64 (.f64 (+.f64 x x) #s(literal -1/2 binary64))) #s(approx (sin (* -1/2 eps)) (.f64 eps (-.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 (cos.f64 (.f64 (+.f64 x x) #s(literal -1/2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) eps))) (.f64 (sin.f64 (.f64 (+.f64 x x) #s(literal -1/2 binary64))) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))) (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))))))

Outputs

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

Calls

36 calls:

33.0ms	eps
12.0ms	eps
12.0ms	x
12.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
11.0ms	x

Results

Accuracy	Segments	Branch
96.2%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
96.2%	1	`x`
96.2%	1	`eps`
96.7%	1	`x`
96.7%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
96.7%	1	`eps`
96.8%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
96.8%	1	`x`
96.8%	1	`eps`
97.9%	1	`x`
97.9%	1	`eps`
97.9%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
97.9%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
97.9%	1	`x`
97.9%	1	`eps`
97.9%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
97.9%	1	`x`
97.9%	1	`eps`
98.7%	1	`eps`
98.7%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
98.7%	1	`x`
98.7%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
98.7%	1	`x`
98.7%	1	`eps`
98.7%	1	`x`
98.7%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
98.7%	1	`eps`
99.2%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.2%	1	`x`
99.2%	1	`eps`
99.8%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.8%	1	`x`
99.8%	1	`eps`
100.0%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
100.0%	1	`x`
100.0%	1	`eps`

Compiler

Compiled 1 304 to 429 computations (67.1% saved)

derivations110.0ms (1.7%)

Memory

-11.4MiB live, 84.9MiB allocated; 7ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 249 to 89 computations (64.3% saved)

preprocess95.0ms (1.5%)

Memory: 25.5MiB live, 214.4MiB allocated; 18ms collecting garbage
Compiler: Compiled 297 to 128 computations (56.9% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze48.0ms (0.7%)

sample4.8s (73.5%)

preprocess43.0ms (0.7%)

sample0.0ms (0.0%)

series12.0ms (0.2%)

rewrite140.0ms (2.1%)

eval23.0ms (0.3%)

prune17.0ms (0.3%)

sample0.0ms (0.0%)

series74.0ms (1.1%)

rewrite149.0ms (2.3%)

eval74.0ms (1.1%)

prune23.0ms (0.4%)

sample0.0ms (0.0%)

series83.0ms (1.3%)

rewrite132.0ms (2.0%)

eval106.0ms (1.6%)

prune26.0ms (0.4%)

sample0.0ms (0.0%)

series56.0ms (0.9%)

rewrite124.0ms (1.9%)

eval88.0ms (1.3%)

prune25.0ms (0.4%)

regimes277.0ms (4.2%)

derivations110.0ms (1.7%)

preprocess95.0ms (1.5%)

end0.0ms (0.0%)

Profiling