Metrics for 2sin (example 3.3)

start0.0ms (0.0%)

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

analyze68.0ms (1.1%)

Memory

-19.7MiB live, 124.9MiB allocated; 35ms 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)

sample4.1s (68.8%)

Memory

137.0MiB live, 7 105.4MiB allocated; 1.2s collecting garbage

Samples

2.1s	26 532×	0	invalid
777.0ms	5 560×	1	valid
174.0ms	2 696×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.9s

ival-sin: 588.0ms (31.2% of total)

ival-fabs: 339.0ms (18.0% of total)

ival-add!: 249.0ms (13.2% of total)

adjust: 216.0ms (11.5% of total)

ival-<: 157.0ms (8.3% of total)

ival-mult!: 132.0ms (7.0% of total)

ival-sub!: 125.0ms (6.6% of total)

ival-and: 64.0ms (3.4% of total)

ival-assert: 13.0ms (0.7% of total)

Bogosity

preprocess44.0ms (0.7%)

Memory

-4.2MiB live, 40.1MiB 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
▶	60.6%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs

Outputs

series12.0ms (0.2%)

Memory

19.3MiB live, 19.3MiB 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	eps	-inf
1.0ms	x	-inf
1.0ms	x	0
0.0ms	eps	0

rewrite149.0ms (2.5%)

Memory

25.7MiB live, 163.9MiB allocated; 38ms 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))))

eval25.0ms (0.4%)

Memory: -6.9MiB live, 37.9MiB allocated; 6ms collecting garbage
Compiler: Compiled 4 076 to 772 computations (81.1% saved)

prune10.0ms (0.2%)

Memory

17.2MiB live, 17.2MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	188	9	197
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	188	10	198

Accuracy

100.0%

Counts

198 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.4%	(-.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 x) (PI.f64)) eps)) (sin.f64 x))
	7.2%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
✓	60.6%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	4.4%	(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #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)) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
	99.6%	#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))))))))))
▶	99.5%	#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))))))))
▶	99.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
▶	98.0%	#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))

Compiler

Compiled 299 to 228 computations (23.7% saved)

sample112.0ms (1.9%)

Memory

-84.3MiB live, 0.6MiB allocated; 113ms collecting garbage

Calls

Call 1

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

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

series62.0ms (1.0%)

Memory

39.2MiB live, 82.9MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	720	3661

Stop Event

1×	iter-limit

Counts

37 → 161

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 (+.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))
#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))))))))
(.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)))))))
(+.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))))))
(.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))
(fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x))))
(.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x)))
#s(literal -1/6 binary64)
(*.f64 eps (cos.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 (- (+ (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 (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 (+ (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)))) #s(literal 1 binary64))
#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 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos 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)) (* -1/6 (* eps (cos x))))))) (fma.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) 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)) (* -1/6 (* eps (cos 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 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos 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 #s(literal -1/2 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 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos 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)) (* -1/6 (* eps (cos x)))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.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)) (* -1/6 (* eps (cos x)))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps x) (.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))))
#s(approx (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))) (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))) (fma.f64 #s(literal -1/6 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 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 eps x) (.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))
#s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (*.f64 #s(literal -1/6 binary64) eps))
#s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) eps)))
#s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))
#s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/12 binary64) eps (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))
#s(approx (* -1/6 (* eps (cos x))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 #s(literal 1/12 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* -1/6 (* eps (cos x))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/144 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/12 binary64) eps)))))
#s(approx (* -1/6 (* eps (cos x))) (fma.f64 #s(literal -1/6 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 -1/144 binary64) eps (.f64 #s(literal 1/4320 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))))))
#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 (* 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 (- (+ (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 (sin 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 (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 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos 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 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos 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)) (* -1/6 (* eps (cos 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)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x)))))
#s(approx (* -1/6 (* eps (cos x))) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x))))
#s(approx (* eps (cos x)) (*.f64 eps (cos.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 (- (+ (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 (+.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 (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 (- (+ (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 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (*.f64 #s(literal -1/2 binary64) (sin.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 (* (+ (* 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 (- (+ (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 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (cos.f64 x))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/6 binary64) (cos.f64 x)))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/6 binary64) (cos.f64 x)))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/6 binary64) (cos.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 (.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 (- (+ (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))))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos 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) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps) (*.f64 #s(literal 1/6 binary64) (cos.f64 x))))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (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)))))
#s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal 1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))))))

Calls

6 calls:

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

rewrite169.0ms (2.8%)

Memory

-0.9MiB live, 176.5MiB allocated; 43ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	246
0	70	236
1	344	232
2	1613	232
0	4495	226

Stop Event

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

Counts

37 → 471

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

eval86.0ms (1.4%)

Memory: -10.6MiB live, 134.4MiB allocated; 18ms collecting garbage
Compiler: Compiled 18 725 to 3 286 computations (82.5% saved)

prune21.0ms (0.4%)

Memory

-4.7MiB live, 42.5MiB allocated; 1ms collecting garbage

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	634	16	650
Fresh	2	2	4
Picked	5	0	5
Done	0	1	1
Total	641	19	660

Accuracy

100.0%

Counts

660 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.4%	(-.f64 (sin.f64 (-.f64 (-.f64 (PI.f64) x) eps)) (sin.f64 x))
✓	60.6%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶	100.0%	(.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 (/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) eps) (PI.f64)) #s(literal 2 binary64))))
	99.4%	(.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))))
	99.5%	(.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))))
	99.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	99.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 (sin.f64 x) #s(literal -1/2 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) (cos.f64 x)) eps))
	99.6%	#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))))))))))
▶	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (*.f64 #s(literal -1/6 binary64) eps))))))
	99.0%	#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))))))
	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
	98.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
▶	98.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 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)))))))))
	98.3%	#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)))))))
	98.1%	#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))))))
▶	98.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) #s(literal 1 binary64))))
	98.3%	#s(approx (- (sin (+ x eps)) (sin 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))))))))
	5.5%	#s(approx (- (sin (+ x eps)) (sin x)) #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)))))

Compiler

Compiled 913 to 650 computations (28.8% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
1/2
0
2
-1/2
1
1/12
-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 6004799503160661/72057594037927936 binary64)
#s(literal -6004799503160661/36028797018963968 binary64)
#s(literal 884279719003555/281474976710656 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 10 to 10 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series69.0ms (1.1%)

Memory

9.2MiB live, 101.8MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	866	5207

Stop Event

1×	iter-limit

Counts

50 → 200

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

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 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))) (.f64 #s(literal -1/2 binary64) (.f64 eps x)))
#s(approx (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal -1/2 binary64) x))))
#s(approx (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))) (.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 (- (* 1/12 (* eps x)) 1/2))) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))) (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 (* x (- (* 1/12 (* eps x)) 1/2)) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* x (- (* 1/12 (* eps x)) 1/2)) (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))))
#s(approx (- (* 1/12 (* eps x)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* 1/12 (* eps x)) 1/2) (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64)))
#s(approx (* 1/12 (* eps x)) (.f64 #s(literal 1/12 binary64) (.f64 eps x)))
#s(approx (* eps x) (*.f64 eps x))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos 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)) (* -1/6 (* eps (cos x))))))) (fma.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) 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)) (* -1/6 (* eps (cos 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 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos 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 #s(literal -1/2 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 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos 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)) (* -1/6 (* eps (cos x)))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.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)) (* -1/6 (* eps (cos x)))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps x) (.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))))
#s(approx (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))) (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))) (fma.f64 #s(literal -1/6 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 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 eps x) (.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))
#s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (*.f64 #s(literal -1/6 binary64) eps))
#s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) eps)))
#s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))
#s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/12 binary64) eps (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))
#s(approx (- (sin (- (- (PI) x) eps)) (sin x)) (sin.f64 (-.f64 (PI.f64) eps)))
#s(approx (- (sin (- (- (PI) x) 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 (- (- (PI) x) 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 (- (- (PI) x) 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 (- (- (PI) x) eps)) (+.f64 (sin.f64 (-.f64 (PI.f64) eps)) (.f64 #s(literal -1 binary64) (.f64 x (cos.f64 (-.f64 (PI.f64) eps))))))
#s(approx (sin (- (- (PI) x) 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 (- (- (PI) x) 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 (- (- (PI) x) eps) (-.f64 (PI.f64) eps))
#s(approx (- (- (PI) x) eps) (-.f64 (+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) x)) eps))
#s(approx (- (PI) x) (PI.f64))
#s(approx (- (PI) x) (+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) x)))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#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 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))))) (.f64 #s(literal 1/12 binary64) (.f64 eps (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/12 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/12 binary64) eps (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))) (.f64 #s(literal 1/12 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/12 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (* 1/12 (* eps x)) 1/2) (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos 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 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos 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 (cos x) (cos.f64 x))
#s(approx (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos 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)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x)))))
#s(approx (- (sin (- (- (PI) x) eps)) (sin x)) (-.f64 (sin.f64 (-.f64 (PI.f64) (+.f64 eps x))) (sin.f64 x)))
#s(approx (sin (- (- (PI) x) eps)) (sin.f64 (-.f64 (PI.f64) (+.f64 eps x))))
#s(approx (- (- (PI) x) eps) (*.f64 x (-.f64 (/.f64 (PI.f64) x) (+.f64 #s(literal 1 binary64) (/.f64 eps x)))))
#s(approx (- (PI) x) (*.f64 x (-.f64 (/.f64 (PI.f64) x) #s(literal 1 binary64))))
#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 (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1/12 binary64) eps (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)) x) (.f64 #s(literal -1/12 binary64) eps)))))
#s(approx (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/12 binary64) eps)))))
#s(approx (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x))) x) (*.f64 #s(literal 1/12 binary64) eps))))
#s(approx (- (* 1/12 (* eps x)) 1/2) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1/12 binary64) eps (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- (sin (- (- (PI) x) eps)) (sin x)) (-.f64 (sin.f64 (-.f64 (+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) x)) eps)) (sin.f64 x)))
#s(approx (sin (- (- (PI) x) eps)) (sin.f64 (-.f64 (+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) x)) eps)))
#s(approx (- (- (PI) x) 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 (- (PI) x) (.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 (* (+ 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 (* (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 (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 (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 eps (.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))
#s(approx (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 eps (.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
#s(approx (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))) (fma.f64 #s(literal -1/2 binary64) x (.f64 eps (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (* x (- (* 1/12 (* eps x)) 1/2)) (fma.f64 #s(literal -1/2 binary64) x (.f64 #s(literal 1/12 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))))
#s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
#s(approx (- (sin (- (- (PI) x) eps)) (sin x)) (-.f64 (sin.f64 (-.f64 (PI.f64) x)) (sin.f64 x)))
#s(approx (- (sin (- (- (PI) x) 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 (- (- (PI) x) 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 (- (- (PI) x) 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 (- (- (PI) x) eps)) (sin.f64 (-.f64 (PI.f64) x)))
#s(approx (sin (- (- (PI) x) eps)) (+.f64 (sin.f64 (-.f64 (PI.f64) x)) (.f64 #s(literal -1 binary64) (.f64 eps (cos.f64 (-.f64 (PI.f64) x))))))
#s(approx (sin (- (- (PI) x) 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 (- (- (PI) x) 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 (- (- (PI) x) eps) (-.f64 (PI.f64) x))
#s(approx (- (- (PI) x) 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 (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 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))))) (.f64 eps (.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) (fma.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) eps)))))
#s(approx (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) (.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
#s(approx (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))) (.f64 eps (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))) (.f64 eps (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x eps) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
#s(approx (* x (- (* 1/12 (* eps x)) 1/2)) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 x eps) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (* 1/12 (* eps x)) 1/2) (.f64 eps (-.f64 (.f64 #s(literal 1/12 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps)))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (cos.f64 x))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/6 binary64) (cos.f64 x)))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/6 binary64) (cos.f64 x)))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x))))
#s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/6 binary64) (cos.f64 x)))))
#s(approx (- (- (PI) x) eps) (*.f64 #s(literal -1 binary64) eps))
#s(approx (- (- (PI) x) eps) (*.f64 eps (-.f64 (/.f64 (PI.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 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))))) (.f64 #s(literal -1 binary64) (.f64 eps (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))))) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) eps) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x eps)))))))
#s(approx (* x (- (* 1/12 (* eps x)) 1/2)) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x eps))))))
#s(approx (- (* 1/12 (* eps x)) 1/2) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1/12 binary64) x (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps))))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos 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) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps) (*.f64 #s(literal 1/6 binary64) (cos.f64 x))))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (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)))))
#s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal 1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))))))
#s(approx (- (sin (- (- (PI) x) eps)) (sin x)) (-.f64 (sin.f64 (-.f64 (+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) eps)) x)) (sin.f64 x)))
#s(approx (sin (- (- (PI) x) eps)) (sin.f64 (-.f64 (+.f64 (PI.f64) (*.f64 #s(literal -1 binary64) eps)) x)))
#s(approx (- (- (PI) x) eps) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (PI.f64) x) eps))))))

Calls

6 calls:

Time	Variable	Point
10.0ms	x	inf
8.0ms	eps	-inf
5.0ms	eps	inf
5.0ms	x	-inf
4.0ms	eps	0

rewrite142.0ms (2.4%)

Memory

34.4MiB live, 178.1MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	475
0	99	439
1	468	425
2	2168	425
0	4095	397

Stop Event

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

Counts

50 → 551

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

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

eval108.0ms (1.8%)

Memory: -47.7MiB live, 167.5MiB allocated; 28ms collecting garbage
Compiler: Compiled 28 012 to 4 200 computations (85.0% saved)

prune23.0ms (0.4%)

Memory

0.1MiB live, 47.1MiB allocated; 2ms collecting garbage

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	714	7	721
Fresh	2	11	13
Picked	4	1	5
Done	0	1	1
Total	720	20	740

Accuracy

100.0%

Counts

740 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	7.4%	(-.f64 (sin.f64 (-.f64 (-.f64 (PI.f64) x) eps)) (sin.f64 x))
✓	60.6%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	99.7%	(.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))) #s(approx (cos ( -1/2 eps)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (.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 (/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) eps) (PI.f64)) #s(literal 2 binary64))))
	99.4%	(.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))))
▶	99.5%	(.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))))
	99.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
▶	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (*.f64 #s(literal -1/6 binary64) eps)) eps (cos.f64 x)) eps))
	99.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 (sin.f64 x) #s(literal -1/2 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) (cos.f64 x)) eps))
	98.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (fma.f64 (fma.f64 (fma.f64 (.f64 x eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
	99.6%	#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 #s(literal -1/2 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))))
	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
	98.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
	98.3%	#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 #s(approx (- (* 1/12 (* eps x)) 1/2) #s(literal -1/2 binary64)))))))))
	98.1%	#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 #s(approx (+ ( -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))) (*.f64 #s(literal -1/2 binary64) eps)))))))
▶	98.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) #s(approx (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))))
	98.3%	#s(approx (- (sin (+ x eps)) (sin 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))))))))
	5.5%	#s(approx (- (sin (+ x eps)) (sin x)) #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)))))
▶	98.0%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) eps))

Compiler

Compiled 1 044 to 738 computations (29.3% saved)

sample0.0ms (0.0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1/2
0
2
(PI)
1
-1/2
-1/6
-1/24

Outputs
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
#s(literal 884279719003555/281474976710656 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 10 to 10 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series54.0ms (0.9%)

Memory

-14.5MiB live, 84.1MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	737	4258

Stop Event

1×	iter-limit

Counts

43 → 165

Calls

Call 1

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

Outputs
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (sin (/ (+ (+ (* x 2) eps) (PI)) 2))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (sin (/ (+ (+ (* x 2) eps) (PI)) 2))) (fma.f64 #s(literal 2 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (sin (/ (+ (+ (* x 2) eps) (PI)) 2))) (fma.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))) (.f64 x (fma.f64 #s(literal -1 binary64) (.f64 x (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (sin (/ (+ (+ (* x 2) eps) (PI)) 2))) (fma.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))) (.f64 x (fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal -1 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))) (.f64 #s(literal -1/3 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))))))))
#s(approx (sin (/ (+ (+ (* x 2) eps) (PI)) 2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))
#s(approx (sin (/ (+ (+ (* x 2) eps) (PI)) 2)) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))))
#s(approx (sin (/ (+ (+ (* x 2) eps) (PI)) 2)) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (.f64 #s(literal -1/2 binary64) (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))))))))
#s(approx (sin (/ (+ (+ (* x 2) eps) (PI)) 2)) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (.f64 #s(literal -1/6 binary64) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))))))))))
#s(approx (/ (+ (+ (* x 2) eps) (PI)) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))
#s(approx (/ (+ (+ (* x 2) eps) (PI)) 2) (+.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))
#s(approx (+ (+ (* x 2) eps) (PI)) (+.f64 eps (PI.f64)))
#s(approx (+ (+ (* x 2) eps) (PI)) (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) x))))
#s(approx (+ (* x 2) eps) eps)
#s(approx (+ (* x 2) 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 (* 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)))) #s(literal 1 binary64))
#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 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))) (.f64 #s(literal -1/2 binary64) (.f64 eps x)))
#s(approx (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal -1/2 binary64) x))))
#s(approx (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))) (.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 (pow x 2)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (* (+ (* (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) eps) (cos x)) eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (* (+ (* (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) eps) (cos x)) eps) (fma.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x) (.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (* (+ (* (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) eps) (cos x)) eps) (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 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))))
#s(approx (* (+ (* (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) eps) (cos x)) eps) (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 #s(literal -1/2 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 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))))
#s(approx (+ (* (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) eps) (cos x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (+ (* (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) eps) (cos x)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (+ (* (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) eps) (cos x)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))))
#s(approx (+ (* (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) eps) (cos x)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps x) (.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))))
#s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (*.f64 #s(literal -1/6 binary64) eps))
#s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) eps)))
#s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))
#s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/12 binary64) eps (*.f64 #s(literal 1/12 binary64) 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 (* (* (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 (* (* (sin (* 1/2 (- eps 0))) 2) (sin (/ (+ (+ (* x 2) eps) (PI)) 2))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) x))))))))
#s(approx (sin (/ (+ (+ (* x 2) eps) (PI)) 2)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))))
#s(approx (/ (+ (+ (* x 2) eps) (PI)) 2) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 eps (PI.f64)) x)))))
#s(approx (+ (+ (* x 2) eps) (PI)) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (+ (* x 2) eps) (PI)) (*.f64 x (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 eps x) (/.f64 (PI.f64) x)))))
#s(approx (+ (* x 2) 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 (* 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 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))))) (.f64 #s(literal 1/12 binary64) (.f64 eps (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/12 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/12 binary64) eps (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* (+ (* (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) eps) (cos x)) eps) (.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 (+ (* (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) eps) (cos 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 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x)))))
#s(approx (cos x) (cos.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) 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 (* (* (sin (* 1/2 (- eps 0))) 2) (sin (/ (+ (+ (* x 2) eps) (PI)) 2))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 eps (PI.f64)) (*.f64 #s(literal -2 binary64) x)))))))
#s(approx (sin (/ (+ (+ (* x 2) eps) (PI)) 2)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 eps (PI.f64)) (.f64 #s(literal -2 binary64) x)))))
#s(approx (/ (+ (+ (* x 2) eps) (PI)) 2) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 eps (PI.f64)) x)) #s(literal 1 binary64)))))
#s(approx (+ (+ (* x 2) eps) (PI)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 eps (PI.f64)) x)) #s(literal 2 binary64)))))
#s(approx (+ (* x 2) 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 (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1/12 binary64) eps (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)) x) (.f64 #s(literal -1/12 binary64) eps)))))
#s(approx (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/12 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 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (sin (/ (+ (+ (* x 2) eps) (PI)) 2))) (.f64 eps (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) x))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (sin (/ (+ (+ (* x 2) eps) (PI)) 2))) (.f64 eps (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) x)))))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (sin (/ (+ (+ (* x 2) eps) (PI)) 2))) (.f64 eps (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 eps (fma.f64 #s(literal -1/16 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 #s(literal -1/48 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) x)))))))))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (sin (/ (+ (+ (* x 2) eps) (PI)) 2))) (.f64 eps (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 eps (fma.f64 #s(literal -1/24 binary64) (.f64 eps (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/16 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 #s(literal -1/48 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 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 (sin (/ (+ (+ (* x 2) eps) (PI)) 2)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))))
#s(approx (sin (/ (+ (+ (* x 2) eps) (PI)) 2)) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))))))
#s(approx (sin (/ (+ (+ (* x 2) eps) (PI)) 2)) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (.f64 eps (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) x)))))))))
#s(approx (sin (/ (+ (+ (* x 2) eps) (PI)) 2)) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 #s(literal -1/48 binary64) (.f64 eps (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))))))))))
#s(approx (/ (+ (+ (* x 2) eps) (PI)) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))
#s(approx (/ (+ (+ (* x 2) eps) (PI)) 2) (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))))
#s(approx (+ (+ (* x 2) eps) (PI)) (+.f64 (PI.f64) (*.f64 #s(literal 2 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 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 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 eps (.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))
#s(approx (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 eps (.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
#s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (*.f64 #s(literal -1/2 binary64) (sin.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 (+ 1 (* -1/24 (pow eps 2))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (* -1/24 (pow eps 2)) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (pow eps 2) (pow.f64 eps #s(literal 2 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 (* 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 (/ (+ (+ (* x 2) eps) (PI)) 2) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) x)) eps)))))
#s(approx (+ (+ (* x 2) eps) (PI)) (*.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) (/.f64 (PI.f64) eps)))))
#s(approx (+ (* x 2) eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 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 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))))
#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 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))))) (.f64 eps (.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) (fma.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) eps)))))
#s(approx (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) (.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
#s(approx (* (+ (* (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) eps) (cos x)) eps) (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (cos.f64 x))))
#s(approx (* (+ (* (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) eps) (cos x)) eps) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/6 binary64) (cos.f64 x)))))
#s(approx (* (+ (* (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) eps) (cos x)) eps) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (+ (* (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) eps) (cos x)) (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))
#s(approx (+ (* (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) eps) (cos x)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/6 binary64) (cos.f64 x)))))
#s(approx (+ (* (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) eps) (cos x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x))))
#s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/6 binary64) (cos.f64 x)))))
#s(approx (* eps (+ 1 (* -1/24 (pow eps 2)))) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (* eps (+ 1 (* -1/24 (pow eps 2)))) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/24 binary64))))
#s(approx (+ 1 (* -1/24 (pow eps 2))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/24 binary64))))
#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 (* (* (sin (* 1/2 (- eps 0))) 2) (sin (/ (+ (+ (* x 2) eps) (PI)) 2))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal -1 binary64) eps)))))))
#s(approx (sin (/ (+ (+ (* x 2) eps) (PI)) 2)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal -1 binary64) eps)))))
#s(approx (/ (+ (+ (* x 2) eps) (PI)) 2) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)) eps)) #s(literal 1/2 binary64)))))
#s(approx (+ (+ (* x 2) eps) (PI)) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)) eps)) #s(literal 1 binary64)))))
#s(approx (+ (* x 2) 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 (+ (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 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))))) (.f64 #s(literal -1 binary64) (.f64 eps (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))))) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) eps) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (* (+ (* (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) eps) (cos x)) eps) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))))))
#s(approx (* (+ (* (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) eps) (cos x)) eps) (.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) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps) (*.f64 #s(literal 1/6 binary64) (cos.f64 x))))))
#s(approx (+ (* (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) eps) (cos x)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (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)))))
#s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal 1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.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 (* eps (+ 1 (* -1/24 (pow eps 2)))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#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)))))

Calls

6 calls:

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

rewrite139.0ms (2.3%)

Memory

38.9MiB live, 183.1MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	448
0	98	436
1	460	425
2	1821	419
0	4197	396

Stop Event

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

Counts

43 → 551

Calls

Call 1

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

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

eval78.0ms (1.3%)

Memory: -3.9MiB live, 135.5MiB allocated; 8ms collecting garbage
Compiler: Compiled 21 011 to 3 244 computations (84.6% saved)

prune21.0ms (0.4%)

Memory

-17.0MiB live, 34.9MiB allocated; 4ms collecting garbage

Pruning

22 alts after pruning (18 fresh and 4 done)

	Pruned	Kept	Total
New	607	9	616
Fresh	4	9	13
Picked	3	2	5
Done	0	2	2
Total	614	22	636

Accuracy

100.0%

Counts

636 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	7.4%	(-.f64 (sin.f64 (-.f64 (-.f64 (PI.f64) x) eps)) (sin.f64 x))
✓	60.6%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	99.7%	(.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))) #s(approx (cos ( -1/2 eps)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (.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 #s(approx (/ (+ (+ ( x 2) eps) (PI)) 2) (+.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))))
	99.4%	(.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))))
	99.4%	(.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))))
	99.5%	(.f64 (cos.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(approx (* (sin (* 1/2 (- eps 0))) 2) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1 binary64)) eps)))
	99.5%	(.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)))))) (sin.f64 (/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) eps) (PI.f64)) #s(literal 2 binary64))))
	99.6%	(.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)))))) #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))))))))
	99.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
✓	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (*.f64 #s(literal -1/6 binary64) eps)) eps (cos.f64 x)) eps))
	99.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 (sin.f64 x) #s(literal -1/2 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) (cos.f64 x)) eps))
	98.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) eps) (cos x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))) eps))
	98.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (-.f64 #s(approx (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))) (.f64 (.f64 #s(literal -1/2 binary64) x) x)) #s(literal -1 binary64))) eps))
	99.6%	#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 #s(literal -1/2 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))))
	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
	98.1%	#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 #s(approx (+ ( -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))) (*.f64 #s(literal -1/2 binary64) eps)))))))
	52.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx ( x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))) (.f64 (.f64 #s(literal -1/2 binary64) x) x)))) #s(approx (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))) (.f64 (.f64 #s(literal -1/2 binary64) x) x))))))
	5.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))))))
	98.3%	#s(approx (- (sin (+ x eps)) (sin 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))))))))
✓	98.0%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) eps))

Compiler

Compiled 630 to 438 computations (30.5% saved)

regimes223.0ms (3.7%)

Memory

-3.6MiB live, 369.8MiB allocated; 19ms collecting garbage

Counts

2 → 1

14 → 1

15 → 1

18 → 1

20 → 1

21 → 1

33 → 1

34 → 1

41 → 1

42 → 1

Calls

Call 1

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

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

Outputs

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

Outputs

#s(approx (- (sin (+ x eps)) (sin 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))))))))

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

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

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

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

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

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

Outputs
(.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))))

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)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) #s(literal 1 binary64))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (-.f64 #s(approx (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))) (.f64 (.f64 #s(literal -1/2 binary64) x) x)) #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)))) (+.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ ( -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))) (*.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 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal -1/2 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 x #s(approx (- (* 1/12 (* eps x)) 1/2) #s(literal -1/2 binary64)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (fma.f64 (fma.f64 (fma.f64 (.f64 x eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx ( x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))) (.f64 (.f64 #s(literal -1/2 binary64) x) x)))) #s(approx (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))) (.f64 (.f64 #s(literal -1/2 binary64) x) x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) eps) (cos x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 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) #s(approx (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))) (*.f64 #s(literal -1/2 binary64) (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)) (* -1/6 (* eps (cos 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)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin 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 (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (*.f64 #s(literal -1/6 binary64) eps)) eps (cos.f64 x)) eps))
#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)) (* -1/6 (* eps (cos x)))) (*.f64 #s(literal -1/6 binary64) eps))))))
(.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 (cos.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(approx (* (sin (* 1/2 (- eps 0))) 2) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1 binary64)) eps)))
(.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))))
#s(approx (- (sin (+ x eps)) (sin x)) #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)))))
(.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 (sin.f64 (+.f64 x eps)) (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)))))) (sin.f64 (/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) eps) (PI.f64)) #s(literal 2 binary64))))
(-.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))))))
(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #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)) (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 #s(approx (/ (+ (+ ( x 2) eps) (PI)) 2) (+.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))))
(.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))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 (sin.f64 x) #s(literal -1/2 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/6 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 #s(literal -1/6 binary64) (.f64 eps (cos.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)))))) #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 (- (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 (.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))) #s(approx (cos ( -1/2 eps)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (.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 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) (sin.f64 #s(approx (/ (+ (+ (* x 2) eps) (PI)) 2) (+.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))))

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)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) #s(literal 1 binary64))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (-.f64 #s(approx (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))) (.f64 (.f64 #s(literal -1/2 binary64) x) x)) #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)))) (+.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ ( -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))) (*.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 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal -1/2 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 x #s(approx (- (* 1/12 (* eps x)) 1/2) #s(literal -1/2 binary64)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (fma.f64 (fma.f64 (fma.f64 (.f64 x eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx ( x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))) (.f64 (.f64 #s(literal -1/2 binary64) x) x)))) #s(approx (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))) (.f64 (.f64 #s(literal -1/2 binary64) x) x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) eps) (cos x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 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) #s(approx (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))) (*.f64 #s(literal -1/2 binary64) (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)) (* -1/6 (* eps (cos 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)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin 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 (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (*.f64 #s(literal -1/6 binary64) eps)) eps (cos.f64 x)) eps))
#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)) (* -1/6 (* eps (cos x)))) (*.f64 #s(literal -1/6 binary64) eps))))))
(.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 (cos.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(approx (* (sin (* 1/2 (- eps 0))) 2) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1 binary64)) eps)))
(.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))))
#s(approx (- (sin (+ x eps)) (sin x)) #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)))))
(.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 (sin.f64 (+.f64 x eps)) (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)))))) (sin.f64 (/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) eps) (PI.f64)) #s(literal 2 binary64))))
(-.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))))))
(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #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)) (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 #s(approx (/ (+ (+ ( x 2) eps) (PI)) 2) (+.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))))
(.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))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 (sin.f64 x) #s(literal -1/2 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/6 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 #s(literal -1/6 binary64) (.f64 eps (cos.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)))))) #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 (- (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 (.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))) #s(approx (cos ( -1/2 eps)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (.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 #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)))))

Outputs

(*.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)))))

Calls

30 calls:

13.0ms	eps
12.0ms	eps
11.0ms	eps
10.0ms	x
10.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Accuracy	Segments	Branch
98.0%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
98.0%	1	`x`
98.0%	1	`eps`
98.3%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
98.3%	1	`x`
98.3%	1	`eps`
98.3%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
98.3%	1	`x`
98.3%	1	`eps`
98.9%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
98.9%	1	`x`
98.9%	1	`eps`
99.0%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.0%	1	`x`
99.0%	1	`eps`
99.4%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.4%	1	`x`
99.4%	1	`eps`
99.5%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.5%	1	`x`
99.5%	1	`eps`
99.8%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.8%	1	`x`
99.8%	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 1 220 to 382 computations (68.7% saved)

derivations125.0ms (2.1%)

Memory

29.4MiB live, 100.5MiB allocated; 54ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 252 to 102 computations (59.5% saved)

preprocess133.0ms (2.2%)

Memory: 4.5MiB live, 159.1MiB allocated; 77ms collecting garbage
Compiler: Compiled 300 to 141 computations (53.0% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze68.0ms (1.1%)

sample4.1s (68.8%)

preprocess44.0ms (0.7%)

sample0.0ms (0.0%)

series12.0ms (0.2%)

rewrite149.0ms (2.5%)

eval25.0ms (0.4%)

prune10.0ms (0.2%)

sample112.0ms (1.9%)

series62.0ms (1.0%)

rewrite169.0ms (2.8%)

eval86.0ms (1.4%)

prune21.0ms (0.4%)

sample0.0ms (0.0%)

series69.0ms (1.1%)

rewrite142.0ms (2.4%)

eval108.0ms (1.8%)

prune23.0ms (0.4%)

sample0.0ms (0.0%)

series54.0ms (0.9%)

rewrite139.0ms (2.3%)

eval78.0ms (1.3%)

prune21.0ms (0.4%)

regimes223.0ms (3.7%)

derivations125.0ms (2.1%)

preprocess133.0ms (2.2%)

end0.0ms (0.0%)

Profiling