Metrics for 2sin (example 3.3)

start0.0ms (0%)

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

analyze34.0ms (0.5%)

Memory

2.6MiB live, 50.2MiB allocated; 7ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample5.2s (79.9%)

Memory

20.1MiB live, 5 880.5MiB allocated; 2.4s collecting garbage

Samples

2.8s	26 082×	0	invalid
919.0ms	5 523×	1	valid
171.0ms	2 733×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.7s

ival-sin: 901.0ms (33.1% of total)

ival-fabs: 876.0ms (32.2% of total)

adjust: 220.0ms (8.1% of total)

ival-add!: 216.0ms (7.9% of total)

ival-mult!: 175.0ms (6.4% of total)

ival-<: 169.0ms (6.2% of total)

ival-sub!: 91.0ms (3.3% of total)

ival-and: 64.0ms (2.3% of total)

ival-assert: 13.0ms (0.5% of total)

Bogosity

preprocess50.0ms (0.8%)

Memory

-24.7MiB live, 25.5MiB allocated; 19ms 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
▶	62.3%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Compiler

Compiled 14 to 12 computations (14.3% saved)

series9.0ms (0.1%)

Memory

22.2MiB live, 22.2MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	488

Stop Event

1×	iter-limit

Counts

6 → 31

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite213.0ms (3.3%)

Memory

18.6MiB live, 247.1MiB allocated; 82ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	64	18
2	595	18
0	8701	18

Stop Event

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

Counts

6 → 382

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 (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))))
(.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 4 binary64)) (pow.f64 (.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))) #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))))
(.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 6 binary64)) (pow.f64 (.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 4 binary64)) (.f64 (.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))) (-.f64 (.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x)))))))))
(.f64 (/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))) (sin.f64 x))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))) (.f64 (sin.f64 eps) (cos.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))) (.f64 (cos.f64 eps) (sin.f64 x))))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))) (*.f64 (cos.f64 eps) (sin.f64 x))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))) (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))))) (.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))))
(*.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 (+.f64 (+.f64 eps x) x) #s(literal -1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) (.f64 (cos.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal -1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))))) (.f64 (cos.f64 (.f64 (+.f64 (+.f64 eps x) x) #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 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))))) (/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))))))) (/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x))))))))
(*.f64 (/.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))) (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))
(.f64 (/.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 (/.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))))) (/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 3 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x)))))))
(.f64 (/.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x)))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))))) (/.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x)))))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps x) x))) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))))))
(.f64 (/.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) #s(literal 2 binary64)) (/.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps x) x))) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))))))
(.f64 (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) (cos.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal -1/2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x))))))) (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x))))) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) (neg.f64 (sin.f64 x)))
(.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 (/.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))) #s(literal 3 binary64)))) (/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))))))
(.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x)))))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 eps x)))))
(.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x)))))))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal -2 binary64))) (cos.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal -1/2 binary64)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x))))) (sin.f64 (+.f64 eps x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))) (sin.f64 (+.f64 eps x)))
(*.f64 #s(literal 1 binary64) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (/.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))
(.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))
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x
eps
(neg.f64 (neg.f64 (sin.f64 x)))
(sin.f64 (neg.f64 (neg.f64 x)))
(sin.f64 (neg.f64 (+.f64 x (PI.f64))))
(sin.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64)))
(sin.f64 (+.f64 (neg.f64 x) (PI.f64)))
(sin.f64 x)
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(cos.f64 (+.f64 (+.f64 x (*.f64 (PI.f64) #s(literal 1/2 binary64))) (PI.f64)))

eval47.0ms (0.7%)

Memory: 16.2MiB live, 102.2MiB allocated; 19ms collecting garbage
Compiler: Compiled 13 901 to 1 444 computations (89.6% saved)

prune23.0ms (0.4%)

Memory

-16.5MiB live, 33.8MiB allocated; 21ms collecting garbage

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	399	10	409
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	399	11	410

Accuracy

100.0%

Counts

410 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.1%	(fma.f64 (*.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (sin.f64 (-.f64 x eps))) (neg.f64 (sin.f64 x)))
▶	4.7%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 (neg.f64 x) (PI.f64))))
	7.7%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (neg.f64 (+.f64 x (PI.f64)))))
✓	62.3%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶	61.1%	(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))
	61.9%	(-.f64 (sin.f64 (*.f64 (-.f64 (/.f64 eps x) #s(literal -1 binary64)) x)) (sin.f64 x))
▶	99.9%	(.f64 (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) (cos.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal -1/2 binary64))))
	99.9%	#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))))))
	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
▶	97.4%	#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))

Compiler

Compiled 307 to 238 computations (22.5% saved)

series48.0ms (0.7%)

Memory

5.5MiB live, 93.3MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	590	2675

Stop Event

1×	iter-limit

Counts

39 → 132

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite59.0ms (0.9%)

Memory

-4.2MiB live, 87.3MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	217
0	72	205
0	346	198

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

39 → 132

Calls

Call 1

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

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

eval30.0ms (0.5%)

Memory: 26.3MiB live, 71.8MiB allocated; 5ms collecting garbage
Compiler: Compiled 6 053 to 1 221 computations (79.8% saved)

prune17.0ms (0.3%)

Memory

-12.0MiB live, 34.2MiB allocated; 4ms collecting garbage

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	233	12	245
Fresh	2	3	5
Picked	5	0	5
Done	0	1	1
Total	240	16	256

Accuracy

100.0%

Counts

256 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.1%	(fma.f64 (*.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (sin.f64 (-.f64 x eps))) (neg.f64 (sin.f64 x)))
✓	62.3%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	61.1%	(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
▶	61.1%	(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))
▶	99.9%	(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cos.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal -1/2 binary64))))
	99.9%	(.f64 (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(approx (cos ( (+ (+ eps x) x) -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%	(.f64 (.f64 #s(literal 2 binary64) #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal -1/2 binary64))))
▶	99.9%	(.f64 #s(approx ( 2 (sin (* 1/2 (- eps 0)))) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (cos.f64 (*.f64 (+.f64 (+.f64 eps x) x) #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))
	99.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x))))))))
	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))))
	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
▶	98.0%	#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)))))))))
	98.0%	#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)))))))
▶	97.4%	#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))))))
	97.4%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))

Compiler

Compiled 701 to 512 computations (27% saved)

series56.0ms (0.9%)

Memory

-12.1MiB live, 79.6MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	605	3233

Stop Event

1×	iter-limit

Counts

45 → 151

Calls

Call 1

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

Outputs
#s(approx (* (* (sin (* eps 1/2)) 2) (cos (* (+ (+ eps x) x) -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 (* eps 1/2)) 2) (cos (* (+ (+ eps x) x) -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 (* eps 1/2)) 2) (cos (* (+ (+ eps x) x) -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 (* eps 1/2)) 2) (cos (* (+ (+ eps x) x) -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 (* (+ (+ eps x) x) -1/2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (cos (* (+ (+ eps x) x) -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 (* (+ (+ eps x) x) -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 (* (+ (+ eps x) x) -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 (* (+ (+ eps x) x) -1/2) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (* (+ (+ eps x) x) -1/2) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (+ (+ eps x) x) eps)
#s(approx (+ (+ eps x) x) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
#s(approx (+ eps x) (+.f64 eps x))
#s(approx 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 (* -1/2 (* eps x)) (.f64 #s(literal -1/2 binary64) (.f64 eps x)))
#s(approx (* eps x) (*.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))) (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 (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 (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 (+ (* (* x x) -1/6) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (* (* (sin (* eps 1/2)) 2) (cos (* (+ (+ eps x) x) -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 (* (+ (+ eps x) x) -1/2)) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))))
#s(approx (* (+ (+ eps x) x) -1/2) (*.f64 #s(literal -1 binary64) x))
#s(approx (* (+ (+ eps x) x) -1/2) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
#s(approx (+ (+ eps x) x) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (+ eps x) x) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
#s(approx (+ eps x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
#s(approx (+ (cos x) (* -1/2 (* eps (sin x)))) (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))))
#s(approx (+ 1 (* -1/2 (* eps x))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ 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 (sin (+ x eps)) (sin.f64 (+.f64 eps x)))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (+ (* (* x x) -1/6) 1) x) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))
#s(approx (+ (* (* x x) -1/6) 1) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* (* x x) -1/6) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))
#s(approx (* (* (sin (* eps 1/2)) 2) (cos (* (+ (+ eps x) x) -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 (* (+ (+ eps x) x) -1/2)) (cos.f64 (.f64 #s(literal -1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))))
#s(approx (* (+ (+ eps x) x) -1/2) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))))
#s(approx (+ (+ eps x) x) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64)))))
#s(approx (+ eps x) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x)))
#s(approx (+ 1 (* -1/2 (* eps x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ 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 (+ x eps)) (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (* (sin (* eps 1/2)) 2) (cos (* (+ (+ eps x) x) -1/2))) (.f64 eps (cos.f64 (.f64 #s(literal -1 binary64) x))))
#s(approx (* (* (sin (* eps 1/2)) 2) (cos (* (+ (+ eps x) x) -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 (* eps 1/2)) 2) (cos (* (+ (+ eps x) x) -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 (* eps 1/2)) 2) (cos (* (+ (+ eps x) x) -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 (* eps 1/2)) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (* (sin (* eps 1/2)) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1920 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/24 binary64))))))
#s(approx (* (sin (* eps 1/2)) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/1920 binary64) (.f64 #s(literal -1/322560 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/24 binary64))))))
#s(approx (sin (* eps 1/2)) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (sin (* eps 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (sin (* eps 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))))))
#s(approx (sin (* eps 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3840 binary64) (.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/48 binary64))))))
#s(approx (cos (* (+ (+ eps x) x) -1/2)) (cos.f64 (*.f64 #s(literal -1 binary64) x)))
#s(approx (cos (* (+ (+ eps x) x) -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 (* (+ (+ eps x) x) -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 (* (+ (+ eps x) x) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1/48 binary64) (.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal -1 binary64) x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))))))
#s(approx (+ (cos x) (* -1/2 (* eps (sin x)))) (cos.f64 x))
#s(approx (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 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) (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 (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 (+ 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 (* (sin (* eps 1/2)) 2) (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (sin (* eps 1/2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (* (+ (+ eps x) x) -1/2) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
#s(approx (+ (+ eps x) x) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps)))))
#s(approx (+ eps x) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (* 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 (* -1/2 (* eps x))) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) 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 (+ 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 (* (* (sin (* eps 1/2)) 2) (cos (* (+ (+ eps x) x) -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 (* (+ (+ eps x) x) -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 (* (+ (+ eps x) x) -1/2) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))))
#s(approx (+ (+ eps x) x) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (+ eps x) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x)))
#s(approx (+ (cos x) (* -1/2 (* eps (sin x)))) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))))
#s(approx (+ 1 (* -1/2 (* eps x))) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))))
#s(approx (+ 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 (sin (+ x eps)) (sin.f64 (-.f64 x (*.f64 #s(literal -1 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)))))))

Calls

6 calls:

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

rewrite54.0ms (0.8%)

Memory

30.6MiB live, 74.8MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	411
0	90	407
0	412	381

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

45 → 167

Calls

Call 1

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

Outputs
(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (+.f64 x eps) x))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (+.f64 x eps) x))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal 2 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (+.f64 x eps) x)))))
(.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))
(+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
eps
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(sin.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (+.f64 x eps) x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (+.f64 x eps) x))))
(cos.f64 (fabs.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (+.f64 x eps) x))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (+.f64 x eps) x)))
(*.f64 #s(literal -1/2 binary64) (+.f64 (+.f64 x eps) x))
(*.f64 (+.f64 (+.f64 x eps) x) #s(literal -1/2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x eps))) (+.f64 x eps))
(/.f64 (-.f64 (.f64 (+.f64 x eps) (+.f64 x eps)) (.f64 x x)) (-.f64 (+.f64 x eps) 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))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x x)
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x eps)) eps x)
(-.f64 (+.f64 x eps) (neg.f64 x))
(+.f64 (+.f64 x eps) x)
(+.f64 x (+.f64 x eps))
(+.f64 eps (+.f64 x x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x eps)) eps)
(/.f64 (-.f64 (.f64 x x) (.f64 eps eps)) (-.f64 x eps))
(/.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (-.f64 eps x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 eps eps) (.f64 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 x eps))))
(-.f64 x (neg.f64 eps))
(-.f64 eps (neg.f64 x))
(+.f64 x eps)
(+.f64 eps x)
x
#s(literal -1/2 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
(.f64 #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps)
(.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (+ (cos x) (* -1/2 (* eps (sin x)))) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 x eps) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x eps) #s(literal -1/2 binary64)) (.f64 (.f64 x eps) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x eps) #s(literal -1/2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 x eps) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 x eps) #s(literal -1/2 binary64)) (.f64 (.f64 x eps) #s(literal -1/2 binary64))) (.f64 #s(literal 1 binary64) (.f64 (.f64 x eps) #s(literal -1/2 binary64))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) eps) x #s(literal 1 binary64))
(fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x eps) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x eps)))
(-.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 x eps) #s(literal -1/2 binary64))))
(+.f64 (.f64 (.f64 x eps) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x eps) #s(literal -1/2 binary64)))
#s(literal 1 binary64)
(.f64 (.f64 #s(literal -1/2 binary64) eps) x)
(.f64 (.f64 x eps) #s(literal -1/2 binary64))
(.f64 #s(literal -1/2 binary64) (.f64 x eps))
(*.f64 x eps)
(*.f64 eps x)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) eps (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x eps) #s(literal -1/2 binary64)) x)) x #s(literal 1 binary64))) eps))
(.f64 #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) eps (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x eps) #s(literal -1/2 binary64)) x)) x #s(literal 1 binary64))) eps)
(.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) eps (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x eps) #s(literal -1/2 binary64)) x)) x #s(literal 1 binary64))))
#s(approx (+ (cos x) (* -1/2 (* eps (sin x)))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) eps (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x eps) #s(literal -1/2 binary64)) x)) x #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) eps (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x eps) #s(literal -1/2 binary64)) x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) eps (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x eps) #s(literal -1/2 binary64)) x)) x) (.f64 (fma.f64 #s(literal -1/2 binary64) eps (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x eps) #s(literal -1/2 binary64)) x)) x))) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) eps (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x eps) #s(literal -1/2 binary64)) x)) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) eps (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x eps) #s(literal -1/2 binary64)) x)) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) eps (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x eps) #s(literal -1/2 binary64)) x)) x) (.f64 (fma.f64 #s(literal -1/2 binary64) eps (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x eps) #s(literal -1/2 binary64)) x)) x)) (.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) eps (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x eps) #s(literal -1/2 binary64)) x)) x)))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) eps (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x eps) #s(literal -1/2 binary64)) x)) x #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x eps) #s(literal -1/2 binary64)) x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) eps (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) x))))
(-.f64 #s(literal 1 binary64) (neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) eps (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) x)) x)))
(+.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) eps (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) x)) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) eps (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) x)) x))
(.f64 (fma.f64 #s(literal -1/2 binary64) eps (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) x)) x)
(.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) x)))
(fma.f64 (.f64 #s(literal -1/2 binary64) eps) x (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x eps) #s(literal -1/2 binary64)) x) x))
(fma.f64 (.f64 x eps) #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x eps) #s(literal -1/2 binary64)) x) x))
(fma.f64 #s(literal -1/2 binary64) (.f64 x eps) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x eps) #s(literal -1/2 binary64)) x) x))
(fma.f64 x (.f64 #s(literal -1/2 binary64) eps) (.f64 x (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x eps) #s(literal -1/2 binary64)) x)))
(+.f64 (.f64 x (.f64 #s(literal -1/2 binary64) eps)) (.f64 x (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) x)))
(+.f64 (.f64 (.f64 x eps) #s(literal -1/2 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) x) x))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x eps) #s(literal -1/2 binary64)) x) (.f64 #s(literal -1/2 binary64) eps))) (*.f64 #s(literal -1/2 binary64) eps))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) eps)) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x eps) #s(literal -1/2 binary64)) x) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x eps) #s(literal -1/2 binary64)) x))) (-.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) x)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) eps) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x eps) #s(literal -1/2 binary64)) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) eps) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x eps) #s(literal -1/2 binary64)) x) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x eps) #s(literal -1/2 binary64)) x)) (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x eps) #s(literal -1/2 binary64)) x)))))
(fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x eps) #s(literal -1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps))
(fma.f64 #s(literal -1/2 binary64) eps (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x eps) #s(literal -1/2 binary64)) x))
(fma.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 x eps) #s(literal -1/2 binary64)) (.f64 #s(literal -1/2 binary64) eps))
(fma.f64 eps #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x eps) #s(literal -1/2 binary64)) x))
(-.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 (neg.f64 x) (fma.f64 #s(literal 1/12 binary64) (*.f64 x eps) #s(literal -1/2 binary64))))
(-.f64 (.f64 #s(literal -1/2 binary64) eps) (neg.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) x)))
(+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) x))
(+.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x eps) #s(literal -1/2 binary64)) x) (*.f64 #s(literal -1/2 binary64) eps))
(.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x eps) #s(literal -1/2 binary64)) x)
(.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 x eps) #s(literal -1/2 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) (.f64 x eps)))) (.f64 #s(literal 1/12 binary64) (*.f64 x eps)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) (.f64 x eps)) (.f64 #s(literal 1/12 binary64) (.f64 x eps))) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/12 binary64) (.f64 x eps) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/12 binary64) (.f64 x eps)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 #s(literal 1/12 binary64) (.f64 x eps)) (.f64 #s(literal 1/12 binary64) (.f64 x eps)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/12 binary64) (*.f64 x eps)) #s(literal 1/2 binary64)))))
(neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) (.f64 x eps))))
(fma.f64 (*.f64 #s(literal 1/12 binary64) eps) x #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x eps) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64))
(-.f64 (.f64 #s(literal 1/12 binary64) (.f64 x eps)) #s(literal 1/2 binary64))
(+.f64 (.f64 #s(literal 1/12 binary64) (.f64 x eps)) #s(literal -1/2 binary64))
(.f64 (.f64 #s(literal 1/12 binary64) eps) x)
(.f64 #s(literal 1/12 binary64) (.f64 x eps))
(.f64 (.f64 x eps) #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (sin.f64 (+.f64 x eps)))) (sin.f64 (+.f64 x eps)))
(/.f64 (-.f64 (.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps))) (.f64 #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)))) (+.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)) (fma.f64 #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)) (.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))))))
(neg.f64 (-.f64 #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)) (sin.f64 (+.f64 x eps))))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)))
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))))
(sin.f64 (+.f64 x eps))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x eps)) eps)
(/.f64 (-.f64 (.f64 x x) (.f64 eps eps)) (-.f64 x eps))
(/.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (-.f64 eps x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 eps eps) (.f64 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 x eps))))
(-.f64 x (neg.f64 eps))
(-.f64 eps (neg.f64 x))
(+.f64 x eps)
(+.f64 eps x)
#s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (.f64 #s(literal -1/6 binary64) (.f64 x x))) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (.f64 #s(literal -1/6 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1 binary64))
(+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
#s(literal -1/6 binary64)
(.f64 #s(approx ( 2 (sin (* 1/2 (- eps 0)))) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1 binary64)) eps)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (+.f64 x eps) x))))
(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (+.f64 x eps) x))) #s(approx (* 2 (sin (* 1/2 (- eps 0)))) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1 binary64)) eps)))
#s(approx (* 2 (sin (* 1/2 (- eps 0)))) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1 binary64)) eps))
(.f64 (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1 binary64)) eps)
(.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) eps (.f64 (.f64 (*.f64 eps eps) #s(literal -1/24 binary64)) eps))
(fma.f64 eps #s(literal 1 binary64) (.f64 eps (.f64 (*.f64 eps eps) #s(literal -1/24 binary64))))
(+.f64 (.f64 eps #s(literal 1 binary64)) (.f64 eps (.f64 (.f64 eps eps) #s(literal -1/24 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) eps) (.f64 (.f64 (.f64 eps eps) #s(literal -1/24 binary64)) eps))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 eps eps) #s(literal -1/24 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 eps eps) #s(literal -1/24 binary64)) (.f64 (.f64 eps eps) #s(literal -1/24 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) #s(literal -1/24 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 eps eps) #s(literal -1/24 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal -1/24 binary64)) (.f64 (.f64 eps eps) #s(literal -1/24 binary64))) (.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/24 binary64))))))
(fma.f64 (*.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/24 binary64) (*.f64 eps eps) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/24 binary64) (.f64 eps eps)))
(-.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 eps eps) #s(literal -1/24 binary64))))
(+.f64 (.f64 (.f64 eps eps) #s(literal -1/24 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/24 binary64)))
(.f64 (.f64 eps eps) #s(literal -1/24 binary64))
(.f64 #s(literal -1/24 binary64) (.f64 eps eps))
#s(literal -1/24 binary64)
(*.f64 (pow.f64 eps #s(literal 1 binary64)) (pow.f64 eps #s(literal 1 binary64)))
(*.f64 eps eps)
(pow.f64 eps #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))

eval93.0ms (1.4%)

Memory: -21.3MiB live, 67.6MiB allocated; 14ms collecting garbage
Compiler: Compiled 11 335 to 1 715 computations (84.9% saved)

prune15.0ms (0.2%)

Memory

37.7MiB live, 37.7MiB allocated; 0ms collecting garbage

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	337	10	347
Fresh	3	7	10
Picked	4	1	5
Done	0	1	1
Total	344	19	363

Accuracy

100.0%

Counts

363 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.1%	(fma.f64 (*.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (sin.f64 (-.f64 x eps))) (neg.f64 (sin.f64 x)))
✓	62.3%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	61.1%	(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
✓	61.1%	(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))
▶	99.9%	(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cos.f64 #s(approx ( (+ (+ eps x) x) -1/2) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))))
▶	99.4%	(.f64 (.f64 #s(approx (sin (* eps 1/2)) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal -1/2 binary64))))
	99.9%	(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (+.f64 x eps) x))) #s(approx (* 2 (sin (* 1/2 (- eps 0)))) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1 binary64)) eps)))
	99.9%	(.f64 #s(approx ( 2 (sin (* 1/2 (- eps 0)))) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) #s(approx (cos (* (+ (+ eps x) x) -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%	(.f64 #s(approx ( 2 (sin (* 1/2 (- eps 0)))) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) #s(approx (cos (* (+ (+ eps x) x) -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)))))))
	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))
▶	98.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) eps (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x eps) #s(literal -1/2 binary64)) x)) x #s(literal 1 binary64))) eps))
	97.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
	99.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x))))))))
	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))))
	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
	98.0%	#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)))))))))
	97.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) #s(approx (+ 1 (* -1/2 (* eps x))) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) eps)))))))
▶	97.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) #s(literal 1 binary64))))
	97.4%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))

Compiler

Compiled 919 to 664 computations (27.7% saved)

series105.0ms (1.6%)

Memory

-5.3MiB live, 96.3MiB allocated; 73ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	612	3007

Stop Event

1×	iter-limit

Counts

49 → 138

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
66.0ms	x	0
9.0ms	eps	-inf
4.0ms	eps	inf
4.0ms	eps	0
3.0ms	x	inf

rewrite59.0ms (0.9%)

Memory

-21.6MiB live, 66.2MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	459
0	103	440
0	428	423

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

49 → 160

Calls

Call 1

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

Outputs
(.f64 (cos.f64 #s(approx ( (+ (+ eps x) x) -1/2) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 #s(approx ( (+ (+ eps x) x) -1/2) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal 2 binary64) (cos.f64 #s(approx ( (+ (+ eps x) x) -1/2) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))))))
(.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))
(+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
eps
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(sin.f64 (+.f64 #s(approx (* (+ (+ eps x) x) -1/2) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 #s(approx (* (+ (+ eps x) x) -1/2) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))))
(cos.f64 (fabs.f64 #s(approx (* (+ (+ eps x) x) -1/2) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))))
(cos.f64 #s(approx (* (+ (+ eps x) x) -1/2) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))))
#s(approx (* (+ (+ eps x) x) -1/2) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) eps) (neg.f64 x))) (neg.f64 x))
(/.f64 (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) eps))) (-.f64 (neg.f64 x) (*.f64 #s(literal -1/2 binary64) eps)))
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x
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#s(literal -1/2 binary64)
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(fma.f64 x (fma.f64 (.f64 x eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (.f64 #s(literal -1/2 binary64) eps))
(fma.f64 eps #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 x eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) x))
(-.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 (neg.f64 (fma.f64 (*.f64 x eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) x))
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(+.f64 (.f64 (fma.f64 (.f64 x eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) x) (*.f64 #s(literal -1/2 binary64) eps))
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(.f64 (fma.f64 (.f64 x eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) x)
(.f64 x (fma.f64 (.f64 x eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 x eps) #s(literal 1/12 binary64)))) (.f64 (*.f64 x eps) #s(literal 1/12 binary64)))
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(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x eps) #s(literal 1/12 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (fma.f64 (.f64 (.f64 x eps) #s(literal 1/12 binary64)) (.f64 (.f64 x eps) #s(literal 1/12 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (*.f64 x eps) #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) eps #s(literal -1/2 binary64))
(fma.f64 (*.f64 x eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x eps) #s(literal -1/2 binary64))
(-.f64 (.f64 (.f64 x eps) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))
(+.f64 (.f64 (.f64 x eps) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x eps) #s(literal 1/12 binary64)))
#s(literal 1/12 binary64)
(*.f64 x eps)
(*.f64 eps x)
(.f64 (cos.f64 (.f64 (+.f64 (+.f64 x eps) x) #s(literal -1/2 binary64))) (.f64 #s(approx (sin ( eps 1/2)) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(.f64 (.f64 #s(approx (sin (* eps 1/2)) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (.f64 (+.f64 (+.f64 x eps) x) #s(literal -1/2 binary64))))
(.f64 #s(approx (sin ( eps 1/2)) (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal 2 binary64) (cos.f64 (*.f64 (+.f64 (+.f64 x eps) x) #s(literal -1/2 binary64)))))
(.f64 #s(approx (sin ( eps 1/2)) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) #s(approx (sin ( eps 1/2)) (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (sin (* eps 1/2)) (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
(sin.f64 (fma.f64 (+.f64 (+.f64 x eps) x) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (*.f64 (+.f64 (+.f64 x eps) x) #s(literal -1/2 binary64))))
(cos.f64 (fabs.f64 (*.f64 (+.f64 (+.f64 x eps) x) #s(literal -1/2 binary64))))
(cos.f64 (*.f64 (+.f64 (+.f64 x eps) x) #s(literal -1/2 binary64)))
(*.f64 (+.f64 (+.f64 x eps) x) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (+.f64 (+.f64 x eps) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x eps))) (+.f64 x eps))
(/.f64 (-.f64 (.f64 (+.f64 x eps) (+.f64 x eps)) (.f64 x x)) (-.f64 (+.f64 x eps) 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))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x x)
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x eps)) eps x)
(-.f64 (+.f64 x eps) (neg.f64 x))
(+.f64 (+.f64 x eps) x)
(+.f64 x (+.f64 x eps))
(+.f64 eps (+.f64 x x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x eps)) eps)
(/.f64 (-.f64 (.f64 x x) (.f64 eps eps)) (-.f64 x eps))
(/.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (-.f64 eps x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 eps eps) (.f64 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 x eps))))
(-.f64 x (neg.f64 eps))
(-.f64 eps (neg.f64 x))
(+.f64 x eps)
(+.f64 eps x)
(.f64 #s(approx (cos ( (+ (+ eps x) x) -1/2)) (fma.f64 (.f64 #s(literal 1/2 binary64) eps) (sin.f64 (neg.f64 x)) (cos.f64 x))) #s(approx ( 2 (sin (* 1/2 (- eps 0)))) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1 binary64)) eps)))
(.f64 #s(approx ( 2 (sin (* 1/2 (- eps 0)))) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1 binary64)) eps)) #s(approx (cos (* (+ (+ eps x) x) -1/2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 (neg.f64 x)) (cos.f64 x))))
#s(approx (* 2 (sin (* 1/2 (- eps 0)))) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1 binary64)) eps))
(.f64 (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1 binary64)) eps)
(.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) eps (.f64 (.f64 (*.f64 eps eps) #s(literal -1/24 binary64)) eps))
(fma.f64 eps #s(literal 1 binary64) (.f64 eps (.f64 (*.f64 eps eps) #s(literal -1/24 binary64))))
(+.f64 (.f64 eps #s(literal 1 binary64)) (.f64 eps (.f64 (.f64 eps eps) #s(literal -1/24 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) eps) (.f64 (.f64 (.f64 eps eps) #s(literal -1/24 binary64)) eps))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 eps eps) #s(literal -1/24 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 eps eps) #s(literal -1/24 binary64)) (.f64 (.f64 eps eps) #s(literal -1/24 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) #s(literal -1/24 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 eps eps) #s(literal -1/24 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal -1/24 binary64)) (.f64 (.f64 eps eps) #s(literal -1/24 binary64))) (.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/24 binary64))))))
(fma.f64 (*.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/24 binary64) (*.f64 eps eps) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/24 binary64) (.f64 eps eps)))
(-.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 eps eps) #s(literal -1/24 binary64))))
(+.f64 (.f64 (.f64 eps eps) #s(literal -1/24 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/24 binary64)))
(.f64 (.f64 eps eps) #s(literal -1/24 binary64))
(.f64 #s(literal -1/24 binary64) (.f64 eps eps))
#s(literal -1/24 binary64)
(*.f64 (pow.f64 eps #s(literal 1 binary64)) (pow.f64 eps #s(literal 1 binary64)))
(*.f64 eps eps)
(pow.f64 eps #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))
#s(approx (cos (* (+ (+ eps x) x) -1/2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 (neg.f64 x)) (cos.f64 x)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 (sin.f64 (neg.f64 x)) eps) #s(literal 1/2 binary64)) (cos.f64 x))) (cos.f64 x))
(/.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (.f64 (.f64 (sin.f64 (neg.f64 x)) eps) #s(literal 1/2 binary64)) (.f64 (.f64 (sin.f64 (neg.f64 x)) eps) #s(literal 1/2 binary64)))) (-.f64 (cos.f64 x) (.f64 (.f64 (sin.f64 (neg.f64 x)) eps) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (sin.f64 (neg.f64 x)) eps) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 (.f64 (.f64 (.f64 (sin.f64 (neg.f64 x)) eps) #s(literal 1/2 binary64)) (.f64 (.f64 (sin.f64 (neg.f64 x)) eps) #s(literal 1/2 binary64))) (.f64 (cos.f64 x) (.f64 (.f64 (sin.f64 (neg.f64 x)) eps) #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 (sin.f64 (neg.f64 x)) eps) #s(literal 1/2 binary64) (cos.f64 x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 (neg.f64 x)) (cos.f64 x))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 (neg.f64 x)) eps) (cos.f64 x))
(-.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 (neg.f64 x)) eps)))
(-.f64 (cos.f64 x) (neg.f64 (.f64 (.f64 (sin.f64 (neg.f64 x)) eps) #s(literal 1/2 binary64))))
(+.f64 (.f64 (.f64 (sin.f64 (neg.f64 x)) eps) #s(literal 1/2 binary64)) (cos.f64 x))
(+.f64 (cos.f64 x) (.f64 (.f64 (sin.f64 (neg.f64 x)) eps) #s(literal 1/2 binary64)))
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (fabs.f64 x))
(cos.f64 (fabs.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
(.f64 (.f64 (sin.f64 (neg.f64 x)) eps) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) eps) (sin.f64 (neg.f64 x)))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 (neg.f64 x)) eps))
(*.f64 (sin.f64 (neg.f64 x)) eps)
(*.f64 eps (sin.f64 (neg.f64 x)))
(sin.f64 (neg.f64 x))

eval45.0ms (0.7%)

Memory: 36.8MiB live, 84.4MiB allocated; 19ms collecting garbage
Compiler: Compiled 10 235 to 1 572 computations (84.6% saved)

prune15.0ms (0.2%)

Memory

-15.1MiB live, 29.2MiB allocated; 8ms collecting garbage

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	269	4	273
Fresh	1	11	12
Picked	3	2	5
Done	0	2	2
Total	273	19	292

Accuracy

100.0%

Counts

292 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.1%	(fma.f64 (*.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (sin.f64 (-.f64 x eps))) (neg.f64 (sin.f64 x)))
✓	62.3%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	61.1%	(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
✓	61.1%	(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))
	99.9%	(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cos.f64 #s(approx ( (+ (+ eps x) x) -1/2) (fma.f64 eps #s(literal -1/2 binary64) (neg.f64 x)))))
✓	99.4%	(.f64 (.f64 #s(approx (sin (* eps 1/2)) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal -1/2 binary64))))
	99.9%	(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (+.f64 x eps) x))) #s(approx (* 2 (sin (* 1/2 (- eps 0)))) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1 binary64)) eps)))
	99.4%	(.f64 #s(approx ( 2 (sin (* 1/2 (- eps 0)))) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1 binary64)) eps)) #s(approx (cos (* (+ (+ eps x) x) -1/2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 (neg.f64 x)) (cos.f64 x))))
	99.9%	(.f64 #s(approx ( 2 (sin (* 1/2 (- eps 0)))) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) #s(approx (cos (* (+ (+ eps x) x) -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))
✓	98.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) eps (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x eps) #s(literal -1/2 binary64)) x)) x #s(literal 1 binary64))) eps))
	98.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(approx (+ ( 1/12 (* x eps)) -1/2) #s(literal -1/2 binary64)) x)) x #s(literal 1 binary64))) eps))
	97.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
	99.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x))))))))
	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))))
	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
	97.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) #s(approx (+ 1 (* -1/2 (* eps x))) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) eps)))))))
	97.4%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) eps))
	97.4%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))

Compiler

Compiled 464 to 333 computations (28.2% saved)

regimes145.0ms (2.2%)

Memory

23.0MiB live, 293.3MiB allocated; 52ms collecting garbage

Accuracy

Total -0.2b remaining (-2.5%)

Threshold costs -0.2b (-2.5%)

Counts

5 → 1

8 → 1

12 → 1

13 → 1

15 → 1

18 → 1

27 → 1

37 → 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))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) #s(approx (+ 1 (* -1/2 (* eps x))) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) eps)))))))

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

Outputs

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

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

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

Call 5

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

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

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

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

Outputs

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

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

Calls

24 calls:

18.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
12.0ms	eps
12.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
9.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
8.0ms	x

Results

Accuracy	Segments	Branch
97.4%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
97.4%	1	`x`
97.4%	1	`eps`
98.0%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
98.0%	1	`eps`
98.0%	1	`x`
98.0%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
98.0%	1	`x`
98.0%	1	`eps`
98.7%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
98.7%	1	`x`
98.7%	1	`eps`
98.7%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
98.7%	1	`x`
98.7%	1	`eps`
99.4%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.4%	1	`x`
99.4%	1	`eps`
99.9%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.9%	1	`x`
99.9%	1	`eps`
99.9%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.9%	1	`x`
99.9%	1	`eps`

Compiler

Compiled 948 to 322 computations (66% saved)

derivations58.0ms (0.9%)

Memory

3.8MiB live, 54.7MiB allocated; 13ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 195 to 83 computations (57.4% saved)

preprocess125.0ms (1.9%)

Memory: -27.6MiB live, 195.2MiB allocated; 31ms collecting garbage
Compiler: Compiled 243 to 122 computations (49.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze34.0ms (0.5%)

sample5.2s (79.9%)

preprocess50.0ms (0.8%)

series9.0ms (0.1%)

rewrite213.0ms (3.3%)

eval47.0ms (0.7%)

prune23.0ms (0.4%)

series48.0ms (0.7%)

rewrite59.0ms (0.9%)

eval30.0ms (0.5%)

prune17.0ms (0.3%)

series56.0ms (0.9%)

rewrite54.0ms (0.8%)

eval93.0ms (1.4%)

prune15.0ms (0.2%)

series105.0ms (1.6%)

rewrite59.0ms (0.9%)

eval45.0ms (0.7%)

prune15.0ms (0.2%)

regimes145.0ms (2.2%)

derivations58.0ms (0.9%)

preprocess125.0ms (1.9%)

end0.0ms (0%)

Profiling