Metrics for 2sin (example 3.3)

start0.0ms (0%)

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

analyze49.0ms (0.8%)

Memory

26.0MiB live, 80.6MiB allocated; 31ms 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)

sample4.7s (81%)

Memory

110.7MiB live, 5 154.2MiB allocated; 1.9s collecting garbage

Samples

2.3s	26 427×	0	invalid
779.0ms	5 509×	1	valid
409.0ms	2 747×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.1s

ival-sin: 633.0ms (30.9% of total)

ival-fabs: 519.0ms (25.3% of total)

ival-<: 202.0ms (9.8% of total)

ival-mult!: 198.0ms (9.7% of total)

ival-add!: 182.0ms (8.9% of total)

adjust: 144.0ms (7% of total)

ival-sub!: 96.0ms (4.7% of total)

ival-and: 63.0ms (3.1% of total)

ival-assert: 13.0ms (0.6% of total)

Bogosity

preprocess48.0ms (0.8%)

Memory

-51.7MiB live, 50.4MiB allocated; 12ms 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
▶	64.5%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Compiler

Compiled 12 to 12 computations (0% saved)

series9.0ms (0.2%)

Memory

11.8MiB live, 11.8MiB 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	Expression
1.0ms	eps	@	inf	((- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) x eps (sin x))
1.0ms	x	@	0	((- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) x eps (sin x))
1.0ms	x	@	-inf	((- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) x eps (sin x))
1.0ms	eps	@	-inf	((- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) x eps (sin x))
1.0ms	eps	@	0	((- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) x eps (sin x))

rewrite146.0ms (2.5%)

Memory

22.7MiB live, 159.1MiB allocated; 28ms 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)))))
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x
eps
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eval46.0ms (0.8%)

Memory: -17.2MiB live, 71.3MiB allocated; 16ms collecting garbage
Compiler: Compiled 7 641 to 1 444 computations (81.1% saved)

prune9.0ms (0.1%)

Memory

19.6MiB live, 19.6MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	404	5	409
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	404	6	410

Accuracy

100.0%

Counts

410 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	35.2%	(/.f64 (+.f64 (pow.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))))) #s(literal 3 binary64)) (pow.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))))) #s(literal 3 binary64))) (fma.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 (.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 (.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)))))))))
✓	64.5%	(-.f64 (sin.f64 (+.f64 x eps)) (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 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
▶	99.2%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
▶	97.7%	#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))

Compiler

Compiled 254 to 138 computations (45.7% saved)

series83.0ms (1.4%)

Memory

-32.0MiB live, 125.9MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	760	6075

Stop Event

1×	iter-limit

Counts

34 → 143

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

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 (* eps (cos x)) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* eps (cos x)) (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/24 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* eps (cos x)) (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) eps)))))))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
#s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+.f64 eps (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+.f64 eps (.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))))
#s(approx (+ (cos x) (* -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x))))
#s(approx (+ (cos x) (* -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal -1/2 binary64) x)))))
#s(approx (+ (cos x) (* -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64)))))))
#s(approx (* -1/2 (* eps (sin x))) (.f64 #s(literal -1/2 binary64) (.f64 eps x)))
#s(approx (* -1/2 (* eps (sin x))) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* -1/2 (* eps (sin x))) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/240 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/12 binary64) eps))))))
#s(approx (* -1/2 (* eps (sin x))) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/240 binary64) eps (.f64 #s(literal 1/10080 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))))
#s(approx (* eps (sin x)) (*.f64 eps x))
#s(approx (* eps (sin x)) (.f64 x (+.f64 eps (.f64 #s(literal -1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* eps (sin x)) (.f64 x (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) eps (.f64 #s(literal 1/120 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (* eps (sin x)) (.f64 x (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/120 binary64) eps))))))))
#s(approx (sin 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 (+ (pow (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) 3) (pow (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) 3)) (.f64 #s(literal 2 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)))))
#s(approx (+ (pow (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) 3) (pow (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) 3)) (fma.f64 #s(literal 2 binary64) (.f64 x (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) #s(literal 2 binary64)) (sin.f64 (.f64 #s(literal -1/2 binary64) eps))) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) #s(literal 2 binary64)) (sin.f64 (.f64 #s(literal -1/2 binary64) eps)))))) (.f64 #s(literal 2 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64))))))
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#s(approx (cos (* (+ (+ eps x) x) -1/2)) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))))
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#s(approx (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (.f64 eps (fma.f64 #s(literal 1/4 binary64) (.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -1 binary64) x))))))
#s(approx (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal 1/4 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (.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 (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal 1/4 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal -1/16 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (fma.f64 #s(literal -1/48 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))))))))))))
#s(approx (+ (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0))))) (- (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0))))) (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0))))))) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))))
#s(approx (+ (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0))))) (- (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0))))) (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0))))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (sin.f64 (.f64 #s(literal -1 binary64) x)))) (.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))))))
#s(approx (+ (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0))))) (- (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0))))) (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0))))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (.f64 eps (fma.f64 #s(literal 1/4 binary64) (.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (sin.f64 (.f64 #s(literal -1 binary64) x))) (.f64 eps (fma.f64 #s(literal -1/48 binary64) (pow.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 (.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))))))))))))
#s(approx (+ (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0))))) (- (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0))))) (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0))))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (.f64 eps (fma.f64 #s(literal 1/4 binary64) (.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (sin.f64 (.f64 #s(literal -1 binary64) x))) (.f64 eps (fma.f64 #s(literal -1/48 binary64) (pow.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 (.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))) (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (sin.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/8 binary64) (.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (sin.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1/24 binary64) (.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (sin.f64 (*.f64 #s(literal -1 binary64) 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 (+ (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 (+ (pow (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) 3) (pow (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) 3)) (.f64 #s(literal 2 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps)))) #s(literal 3 binary64)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)))))
#s(approx (pow (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) 3) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps)))) #s(literal 3 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64))))
#s(approx (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (.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)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0))))) (- (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0))))) (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0))))))) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))

Calls

6 calls:

Time	Variable		Point	Expression
17.0ms	eps	@	-inf	((* (* 2 (sin (* 1/2 (- eps 0)))) (cos (* (+ (+ eps x) x) -1/2))) (* 2 (sin (* 1/2 (- eps 0)))) 2 (sin (* 1/2 (- eps 0))) (* 1/2 (- eps 0)) 1/2 (- eps 0) eps 0 (cos (* (+ (+ eps x) x) -1/2)) (* (+ (+ eps x) x) -1/2) (+ (+ eps x) x) (+ eps x) x -1/2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (* eps (cos x)) (cos x) (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+ (cos x) (* -1/2 (* eps (sin x)))) (* -1/2 (* eps (sin x))) (* eps (sin x)) (sin x) (/ (+ (pow (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) 3) (pow (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) 3)) (+ (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0))))) (- (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0))))) (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))))))) (+ (pow (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) 3) (pow (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) 3)) (pow (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) 3) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) 3 (+ (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0))))) (- (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0))))) (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0))))))) (- (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0))))) (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))))) (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0))))))
10.0ms	eps	@	0	((* (* 2 (sin (* 1/2 (- eps 0)))) (cos (* (+ (+ eps x) x) -1/2))) (* 2 (sin (* 1/2 (- eps 0)))) 2 (sin (* 1/2 (- eps 0))) (* 1/2 (- eps 0)) 1/2 (- eps 0) eps 0 (cos (* (+ (+ eps x) x) -1/2)) (* (+ (+ eps x) x) -1/2) (+ (+ eps x) x) (+ eps x) x -1/2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (* eps (cos x)) (cos x) (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+ (cos x) (* -1/2 (* eps (sin x)))) (* -1/2 (* eps (sin x))) (* eps (sin x)) (sin x) (/ (+ (pow (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) 3) (pow (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) 3)) (+ (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0))))) (- (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0))))) (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))))))) (+ (pow (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) 3) (pow (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) 3)) (pow (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) 3) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) 3 (+ (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0))))) (- (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0))))) (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0))))))) (- (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0))))) (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))))) (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0))))))
9.0ms	x	@	-inf	((* (* 2 (sin (* 1/2 (- eps 0)))) (cos (* (+ (+ eps x) x) -1/2))) (* 2 (sin (* 1/2 (- eps 0)))) 2 (sin (* 1/2 (- eps 0))) (* 1/2 (- eps 0)) 1/2 (- eps 0) eps 0 (cos (* (+ (+ eps x) x) -1/2)) (* (+ (+ eps x) x) -1/2) (+ (+ eps x) x) (+ eps x) x -1/2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (* eps (cos x)) (cos x) (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+ (cos x) (* -1/2 (* eps (sin x)))) (* -1/2 (* eps (sin x))) (* eps (sin x)) (sin x) (/ (+ (pow (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) 3) (pow (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) 3)) (+ (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0))))) (- (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0))))) (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))))))) (+ (pow (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) 3) (pow (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) 3)) (pow (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) 3) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) 3 (+ (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0))))) (- (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0))))) (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0))))))) (- (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0))))) (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))))) (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0))))))
6.0ms	x	@	inf	((* (* 2 (sin (* 1/2 (- eps 0)))) (cos (* (+ (+ eps x) x) -1/2))) (* 2 (sin (* 1/2 (- eps 0)))) 2 (sin (* 1/2 (- eps 0))) (* 1/2 (- eps 0)) 1/2 (- eps 0) eps 0 (cos (* (+ (+ eps x) x) -1/2)) (* (+ (+ eps x) x) -1/2) (+ (+ eps x) x) (+ eps x) x -1/2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (* eps (cos x)) (cos x) (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+ (cos x) (* -1/2 (* eps (sin x)))) (* -1/2 (* eps (sin x))) (* eps (sin x)) (sin x) (/ (+ (pow (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) 3) (pow (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) 3)) (+ (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0))))) (- (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0))))) (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))))))) (+ (pow (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) 3) (pow (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) 3)) (pow (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) 3) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) 3 (+ (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0))))) (- (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0))))) (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0))))))) (- (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0))))) (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))))) (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0))))))
6.0ms	x	@	0	((* (* 2 (sin (* 1/2 (- eps 0)))) (cos (* (+ (+ eps x) x) -1/2))) (* 2 (sin (* 1/2 (- eps 0)))) 2 (sin (* 1/2 (- eps 0))) (* 1/2 (- eps 0)) 1/2 (- eps 0) eps 0 (cos (* (+ (+ eps x) x) -1/2)) (* (+ (+ eps x) x) -1/2) (+ (+ eps x) x) (+ eps x) x -1/2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (* eps (cos x)) (cos x) (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+ (cos x) (* -1/2 (* eps (sin x)))) (* -1/2 (* eps (sin x))) (* eps (sin x)) (sin x) (/ (+ (pow (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) 3) (pow (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) 3)) (+ (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0))))) (- (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0))))) (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))))))) (+ (pow (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) 3) (pow (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) 3)) (pow (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) 3) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) 3 (+ (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0))))) (- (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0))))) (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0))))))) (- (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0))))) (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))))) (* (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0)))) (* (cos (* (+ (+ eps x) x) -1/2)) (sin (* 1/2 (- eps 0))))))

rewrite54.0ms (0.9%)

Memory

15.5MiB live, 59.4MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	535
0	62	253
0	312	250

Stop Event

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

Counts

34 → 121

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

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

eval42.0ms (0.7%)

Memory: 13.5MiB live, 57.9MiB allocated; 7ms collecting garbage
Compiler: Compiled 12 536 to 1 814 computations (85.5% saved)

prune13.0ms (0.2%)

Memory

11.7MiB live, 11.7MiB allocated; 0ms collecting garbage

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	310	12	322
Fresh	0	0	0
Picked	4	1	5
Done	1	0	1
Total	315	13	328

Accuracy

100.0%

Counts

328 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(.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))))
▶	100.0%	(.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))))
	99.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	99.6%	#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))))))
	99.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 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))))
▶	99.2%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))))
✓	99.2%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
▶	98.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 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)))))))))
▶	98.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal -1/2 binary64) x)))))))
	97.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x))))))
	98.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
▶	97.7%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps #s(approx (cos x) #s(literal 1 binary64))))
	98.4%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+.f64 eps (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))))

Compiler

Compiled 445 to 433 computations (2.7% saved)

series72.0ms (1.2%)

Memory

2.0MiB live, 55.9MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	646	3465

Stop Event

1×	iter-limit

Counts

44 → 156

Calls

Call 1

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

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 (* eps (cos x)) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* eps (cos x)) (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/24 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* eps (cos x)) (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) eps)))))))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
#s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+.f64 eps (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+.f64 eps (.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))))
#s(approx (+ (cos x) (* -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x))))
#s(approx (+ (cos x) (* -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal -1/2 binary64) x)))))
#s(approx (+ (cos x) (* -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64)))))))
#s(approx (* x (+ (* -1/2 eps) (* -1/2 x))) (.f64 #s(literal -1/2 binary64) (.f64 eps x)))
#s(approx (* x (+ (* -1/2 eps) (* -1/2 x))) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal -1/2 binary64) x))))
#s(approx (+ (* -1/2 eps) (* -1/2 x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (* -1/2 x) (*.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 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 x (-.f64 (.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))))
#s(approx (- (* 1/12 (* eps x)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* 1/12 (* eps x)) 1/2) (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64)))
#s(approx (* 1/12 (* eps x)) (.f64 #s(literal 1/12 binary64) (.f64 eps x)))
#s(approx (* eps x) (*.f64 eps x))
#s(approx (* eps (sin (+ x (/ (PI) 2)))) (.f64 eps (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (* eps (sin (+ x (/ (PI) 2)))) (fma.f64 eps (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 eps (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (* eps (sin (+ x (/ (PI) 2)))) (fma.f64 eps (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))
#s(approx (* eps (sin (+ x (/ (PI) 2)))) (fma.f64 eps (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 x (fma.f64 eps (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal -1/6 binary64) (.f64 eps (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))))))))))))
#s(approx (sin (+ x (/ (PI) 2))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (sin (+ x (/ (PI) 2))) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (sin (+ x (/ (PI) 2))) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1/2 binary64) (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))))))
#s(approx (sin (+ x (/ (PI) 2))) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1/6 binary64) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))))))))
#s(approx (+ x (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (+ x (/ (PI) 2)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#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) 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)) (*.f64 eps (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
#s(approx (+ (cos x) (* -1/2 (* eps (sin x)))) (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))))
#s(approx (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x)))) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64))))
#s(approx (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
#s(approx (+ (* -1/2 eps) (* -1/2 x)) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64))))
#s(approx (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))))) (.f64 #s(literal 1/12 binary64) (.f64 eps (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/12 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/12 binary64) eps (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))) (.f64 #s(literal 1/12 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/12 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (* 1/12 (* eps x)) 1/2) (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* eps (sin (+ x (/ (PI) 2)))) (.f64 eps (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (sin (+ x (/ (PI) 2))) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ x (/ (PI) 2)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (PI.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 (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.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))))
#s(approx (+ (* -1/2 eps) (* -1/2 x)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps 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 (* eps (sin (+ x (/ (PI) 2)))) (.f64 eps (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -1 binary64) x)))))
#s(approx (sin (+ x (/ (PI) 2))) (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal -1 binary64) x))))
#s(approx (+ x (/ (PI) 2)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) x)) #s(literal 1 binary64)))))
#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 (+ 1 (* -1/24 (pow eps 2))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (* -1/24 (pow eps 2)) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (pow eps 2) (pow.f64 eps #s(literal 2 binary64)))
#s(approx (cos (* (+ (+ 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 (+.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 (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* x (+ (* -1/2 eps) (* -1/2 x))) (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (.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)))) (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 (* 2 (sin (* 1/2 (- eps 0)))) (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 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 (* (+ (+ 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 (* x (+ (* -1/2 eps) (* -1/2 x)))) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) (/.f64 #s(literal 1 binary64) eps)))))
#s(approx (* x (+ (* -1/2 eps) (* -1/2 x))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) x (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))
#s(approx (+ (* -1/2 eps) (* -1/2 x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
#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 (* (* 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 (* 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 (* (+ (+ 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 (* x (+ (* -1/2 eps) (* -1/2 x)))) (.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 #s(literal 1/2 binary64) x)))))
#s(approx (* x (+ (* -1/2 eps) (* -1/2 x))) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))))
#s(approx (+ (* -1/2 eps) (* -1/2 x)) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x 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))))))

Calls

6 calls:

Time	Variable		Point	Expression
26.0ms	eps	@	0	((* (* 2 (sin (* 1/2 (- eps 0)))) (cos (* (+ (+ eps x) x) -1/2))) (* 2 (sin (* 1/2 (- eps 0)))) (* eps (+ 1 (* -1/24 (pow eps 2)))) eps (+ 1 (* -1/24 (pow eps 2))) 1 (* -1/24 (pow eps 2)) -1/24 (pow eps 2) 2 (cos (* (+ (+ eps x) x) -1/2)) (* (+ (+ eps x) x) -1/2) (+ (+ eps x) x) (+ eps x) x -1/2 (- (sin (+ x eps)) (sin x)) (* eps (cos x)) (cos x) (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+ (cos x) (* -1/2 (* eps (sin x)))) (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x)))) (* x (+ (* -1/2 eps) (* -1/2 x))) (+ (* -1/2 eps) (* -1/2 x)) (* -1/2 x) (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+ (cos x) (* -1/2 (* eps (sin x)))) (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))))) (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))) (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))) (* x (- (* 1/12 (* eps x)) 1/2)) (- (* 1/12 (* eps x)) 1/2) (* 1/12 (* eps x)) 1/12 (* eps x) 1/2 (- (sin (+ x eps)) (sin x)) (* eps (sin (+ x (/ (PI) 2)))) (sin (+ x (/ (PI) 2))) (+ x (/ (PI) 2)) (/ (PI) 2) (PI))
8.0ms	x	@	0	((* (* 2 (sin (* 1/2 (- eps 0)))) (cos (* (+ (+ eps x) x) -1/2))) (* 2 (sin (* 1/2 (- eps 0)))) (* eps (+ 1 (* -1/24 (pow eps 2)))) eps (+ 1 (* -1/24 (pow eps 2))) 1 (* -1/24 (pow eps 2)) -1/24 (pow eps 2) 2 (cos (* (+ (+ eps x) x) -1/2)) (* (+ (+ eps x) x) -1/2) (+ (+ eps x) x) (+ eps x) x -1/2 (- (sin (+ x eps)) (sin x)) (* eps (cos x)) (cos x) (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+ (cos x) (* -1/2 (* eps (sin x)))) (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x)))) (* x (+ (* -1/2 eps) (* -1/2 x))) (+ (* -1/2 eps) (* -1/2 x)) (* -1/2 x) (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+ (cos x) (* -1/2 (* eps (sin x)))) (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))))) (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))) (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))) (* x (- (* 1/12 (* eps x)) 1/2)) (- (* 1/12 (* eps x)) 1/2) (* 1/12 (* eps x)) 1/12 (* eps x) 1/2 (- (sin (+ x eps)) (sin x)) (* eps (sin (+ x (/ (PI) 2)))) (sin (+ x (/ (PI) 2))) (+ x (/ (PI) 2)) (/ (PI) 2) (PI))
6.0ms	eps	@	-inf	((* (* 2 (sin (* 1/2 (- eps 0)))) (cos (* (+ (+ eps x) x) -1/2))) (* 2 (sin (* 1/2 (- eps 0)))) (* eps (+ 1 (* -1/24 (pow eps 2)))) eps (+ 1 (* -1/24 (pow eps 2))) 1 (* -1/24 (pow eps 2)) -1/24 (pow eps 2) 2 (cos (* (+ (+ eps x) x) -1/2)) (* (+ (+ eps x) x) -1/2) (+ (+ eps x) x) (+ eps x) x -1/2 (- (sin (+ x eps)) (sin x)) (* eps (cos x)) (cos x) (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+ (cos x) (* -1/2 (* eps (sin x)))) (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x)))) (* x (+ (* -1/2 eps) (* -1/2 x))) (+ (* -1/2 eps) (* -1/2 x)) (* -1/2 x) (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+ (cos x) (* -1/2 (* eps (sin x)))) (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))))) (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))) (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))) (* x (- (* 1/12 (* eps x)) 1/2)) (- (* 1/12 (* eps x)) 1/2) (* 1/12 (* eps x)) 1/12 (* eps x) 1/2 (- (sin (+ x eps)) (sin x)) (* eps (sin (+ x (/ (PI) 2)))) (sin (+ x (/ (PI) 2))) (+ x (/ (PI) 2)) (/ (PI) 2) (PI))
5.0ms	eps	@	inf	((* (* 2 (sin (* 1/2 (- eps 0)))) (cos (* (+ (+ eps x) x) -1/2))) (* 2 (sin (* 1/2 (- eps 0)))) (* eps (+ 1 (* -1/24 (pow eps 2)))) eps (+ 1 (* -1/24 (pow eps 2))) 1 (* -1/24 (pow eps 2)) -1/24 (pow eps 2) 2 (cos (* (+ (+ eps x) x) -1/2)) (* (+ (+ eps x) x) -1/2) (+ (+ eps x) x) (+ eps x) x -1/2 (- (sin (+ x eps)) (sin x)) (* eps (cos x)) (cos x) (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+ (cos x) (* -1/2 (* eps (sin x)))) (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x)))) (* x (+ (* -1/2 eps) (* -1/2 x))) (+ (* -1/2 eps) (* -1/2 x)) (* -1/2 x) (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+ (cos x) (* -1/2 (* eps (sin x)))) (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))))) (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))) (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))) (* x (- (* 1/12 (* eps x)) 1/2)) (- (* 1/12 (* eps x)) 1/2) (* 1/12 (* eps x)) 1/12 (* eps x) 1/2 (- (sin (+ x eps)) (sin x)) (* eps (sin (+ x (/ (PI) 2)))) (sin (+ x (/ (PI) 2))) (+ x (/ (PI) 2)) (/ (PI) 2) (PI))
5.0ms	x	@	-inf	((* (* 2 (sin (* 1/2 (- eps 0)))) (cos (* (+ (+ eps x) x) -1/2))) (* 2 (sin (* 1/2 (- eps 0)))) (* eps (+ 1 (* -1/24 (pow eps 2)))) eps (+ 1 (* -1/24 (pow eps 2))) 1 (* -1/24 (pow eps 2)) -1/24 (pow eps 2) 2 (cos (* (+ (+ eps x) x) -1/2)) (* (+ (+ eps x) x) -1/2) (+ (+ eps x) x) (+ eps x) x -1/2 (- (sin (+ x eps)) (sin x)) (* eps (cos x)) (cos x) (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+ (cos x) (* -1/2 (* eps (sin x)))) (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x)))) (* x (+ (* -1/2 eps) (* -1/2 x))) (+ (* -1/2 eps) (* -1/2 x)) (* -1/2 x) (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+ (cos x) (* -1/2 (* eps (sin x)))) (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))))) (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))) (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))) (* x (- (* 1/12 (* eps x)) 1/2)) (- (* 1/12 (* eps x)) 1/2) (* 1/12 (* eps x)) 1/12 (* eps x) 1/2 (- (sin (+ x eps)) (sin x)) (* eps (sin (+ x (/ (PI) 2)))) (sin (+ x (/ (PI) 2))) (+ x (/ (PI) 2)) (/ (PI) 2) (PI))

rewrite49.0ms (0.8%)

Memory

-6.5MiB live, 38.7MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	418
0	86	396
0	430	369

Stop Event

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

Counts

44 → 162

Calls

Call 1

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

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

eval39.0ms (0.7%)

Memory: -19.4MiB live, 70.0MiB allocated; 11ms collecting garbage
Compiler: Compiled 3 580 to 1 773 computations (50.5% saved)

prune12.0ms (0.2%)

Memory

21.4MiB live, 21.4MiB allocated; 0ms collecting garbage

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	290	5	295
Fresh	0	7	7
Picked	4	1	5
Done	0	1	1
Total	294	14	308

Accuracy

100.0%

Counts

308 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(.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))))
▶	100.0%	(.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%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
▶	98.4%	#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 (.f64 x eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) x)) x #s(literal 1 binary64))) eps))
	98.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64))) eps))
	99.6%	#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))))))
	99.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 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))))
▶	99.2%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
✓	99.2%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
▶	97.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x))))))
	98.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) #s(approx (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x)))) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) (/.f64 #s(literal 1 binary64) eps))))))))
	98.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
✓	97.7%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps #s(approx (cos x) #s(literal 1 binary64))))
▶	98.4%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+.f64 eps (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))))

Compiler

Compiled 482 to 468 computations (2.9% saved)

series64.0ms (1.1%)

Memory

-24.5MiB live, 70.3MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	645	3422

Stop Event

1×	iter-limit

Counts

43 → 154

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
21.0ms	x	@	-inf	((* (cos (* -1/2 (+ (+ x eps) x))) (* 2 (sin (* 1/2 (- eps 0))))) (cos (* -1/2 (+ (+ x eps) x))) (* -1/2 (+ (+ x eps) x)) -1/2 (+ (+ x eps) x) (+ x eps) x eps (* 2 (sin (* 1/2 (- eps 0)))) (* (+ (* (* eps eps) -1/24) 1) eps) (+ (* (* eps eps) -1/24) 1) (* eps eps) -1/24 1 (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+ (cos x) (* -1/2 (* eps (sin x)))) (+ 1 (* -1/2 (* eps x))) (* -1/2 (* eps x)) (* eps x) (- (sin (+ x eps)) (sin x)) (* (+ (cos x) (* -1/2 (* eps (sin x)))) eps) (+ (cos x) (* -1/2 (* eps (sin x)))) (+ (* (+ (* -1/2 eps) (* (+ (* (* x eps) 1/12) -1/2) x)) x) 1) (+ (* -1/2 eps) (* (+ (* (* x eps) 1/12) -1/2) x)) (* (+ (* (* x eps) 1/12) -1/2) x) (+ (* (* x eps) 1/12) -1/2) (* x eps) 1/12 (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2))))) (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))) (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2))) (* -1/2 (pow eps 2)) (pow eps 2) 2 (- (sin (+ x eps)) (sin x)) (* eps (sin (+ (* (PI) 1/2) x))) (sin (+ (* (PI) 1/2) x)) (+ (* (PI) 1/2) x) (PI) 1/2)
5.0ms	eps	@	0	((* (cos (* -1/2 (+ (+ x eps) x))) (* 2 (sin (* 1/2 (- eps 0))))) (cos (* -1/2 (+ (+ x eps) x))) (* -1/2 (+ (+ x eps) x)) -1/2 (+ (+ x eps) x) (+ x eps) x eps (* 2 (sin (* 1/2 (- eps 0)))) (* (+ (* (* eps eps) -1/24) 1) eps) (+ (* (* eps eps) -1/24) 1) (* eps eps) -1/24 1 (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+ (cos x) (* -1/2 (* eps (sin x)))) (+ 1 (* -1/2 (* eps x))) (* -1/2 (* eps x)) (* eps x) (- (sin (+ x eps)) (sin x)) (* (+ (cos x) (* -1/2 (* eps (sin x)))) eps) (+ (cos x) (* -1/2 (* eps (sin x)))) (+ (* (+ (* -1/2 eps) (* (+ (* (* x eps) 1/12) -1/2) x)) x) 1) (+ (* -1/2 eps) (* (+ (* (* x eps) 1/12) -1/2) x)) (* (+ (* (* x eps) 1/12) -1/2) x) (+ (* (* x eps) 1/12) -1/2) (* x eps) 1/12 (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2))))) (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))) (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2))) (* -1/2 (pow eps 2)) (pow eps 2) 2 (- (sin (+ x eps)) (sin x)) (* eps (sin (+ (* (PI) 1/2) x))) (sin (+ (* (PI) 1/2) x)) (+ (* (PI) 1/2) x) (PI) 1/2)
5.0ms	eps	@	-inf	((* (cos (* -1/2 (+ (+ x eps) x))) (* 2 (sin (* 1/2 (- eps 0))))) (cos (* -1/2 (+ (+ x eps) x))) (* -1/2 (+ (+ x eps) x)) -1/2 (+ (+ x eps) x) (+ x eps) x eps (* 2 (sin (* 1/2 (- eps 0)))) (* (+ (* (* eps eps) -1/24) 1) eps) (+ (* (* eps eps) -1/24) 1) (* eps eps) -1/24 1 (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+ (cos x) (* -1/2 (* eps (sin x)))) (+ 1 (* -1/2 (* eps x))) (* -1/2 (* eps x)) (* eps x) (- (sin (+ x eps)) (sin x)) (* (+ (cos x) (* -1/2 (* eps (sin x)))) eps) (+ (cos x) (* -1/2 (* eps (sin x)))) (+ (* (+ (* -1/2 eps) (* (+ (* (* x eps) 1/12) -1/2) x)) x) 1) (+ (* -1/2 eps) (* (+ (* (* x eps) 1/12) -1/2) x)) (* (+ (* (* x eps) 1/12) -1/2) x) (+ (* (* x eps) 1/12) -1/2) (* x eps) 1/12 (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2))))) (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))) (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2))) (* -1/2 (pow eps 2)) (pow eps 2) 2 (- (sin (+ x eps)) (sin x)) (* eps (sin (+ (* (PI) 1/2) x))) (sin (+ (* (PI) 1/2) x)) (+ (* (PI) 1/2) x) (PI) 1/2)
4.0ms	eps	@	inf	((* (cos (* -1/2 (+ (+ x eps) x))) (* 2 (sin (* 1/2 (- eps 0))))) (cos (* -1/2 (+ (+ x eps) x))) (* -1/2 (+ (+ x eps) x)) -1/2 (+ (+ x eps) x) (+ x eps) x eps (* 2 (sin (* 1/2 (- eps 0)))) (* (+ (* (* eps eps) -1/24) 1) eps) (+ (* (* eps eps) -1/24) 1) (* eps eps) -1/24 1 (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+ (cos x) (* -1/2 (* eps (sin x)))) (+ 1 (* -1/2 (* eps x))) (* -1/2 (* eps x)) (* eps x) (- (sin (+ x eps)) (sin x)) (* (+ (cos x) (* -1/2 (* eps (sin x)))) eps) (+ (cos x) (* -1/2 (* eps (sin x)))) (+ (* (+ (* -1/2 eps) (* (+ (* (* x eps) 1/12) -1/2) x)) x) 1) (+ (* -1/2 eps) (* (+ (* (* x eps) 1/12) -1/2) x)) (* (+ (* (* x eps) 1/12) -1/2) x) (+ (* (* x eps) 1/12) -1/2) (* x eps) 1/12 (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2))))) (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))) (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2))) (* -1/2 (pow eps 2)) (pow eps 2) 2 (- (sin (+ x eps)) (sin x)) (* eps (sin (+ (* (PI) 1/2) x))) (sin (+ (* (PI) 1/2) x)) (+ (* (PI) 1/2) x) (PI) 1/2)
4.0ms	x	@	inf	((* (cos (* -1/2 (+ (+ x eps) x))) (* 2 (sin (* 1/2 (- eps 0))))) (cos (* -1/2 (+ (+ x eps) x))) (* -1/2 (+ (+ x eps) x)) -1/2 (+ (+ x eps) x) (+ x eps) x eps (* 2 (sin (* 1/2 (- eps 0)))) (* (+ (* (* eps eps) -1/24) 1) eps) (+ (* (* eps eps) -1/24) 1) (* eps eps) -1/24 1 (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+ (cos x) (* -1/2 (* eps (sin x)))) (+ 1 (* -1/2 (* eps x))) (* -1/2 (* eps x)) (* eps x) (- (sin (+ x eps)) (sin x)) (* (+ (cos x) (* -1/2 (* eps (sin x)))) eps) (+ (cos x) (* -1/2 (* eps (sin x)))) (+ (* (+ (* -1/2 eps) (* (+ (* (* x eps) 1/12) -1/2) x)) x) 1) (+ (* -1/2 eps) (* (+ (* (* x eps) 1/12) -1/2) x)) (* (+ (* (* x eps) 1/12) -1/2) x) (+ (* (* x eps) 1/12) -1/2) (* x eps) 1/12 (- (sin (+ x eps)) (sin x)) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2))))) (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))) (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2))) (* -1/2 (pow eps 2)) (pow eps 2) 2 (- (sin (+ x eps)) (sin x)) (* eps (sin (+ (* (PI) 1/2) x))) (sin (+ (* (PI) 1/2) x)) (+ (* (PI) 1/2) x) (PI) 1/2)

rewrite53.0ms (0.9%)

Memory

40.8MiB live, 85.1MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	431
0	89	422
0	431	402

Stop Event

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

Counts

43 → 159

Calls

Call 1

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

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

eval41.0ms (0.7%)

Memory: -26.2MiB live, 75.7MiB allocated; 11ms collecting garbage
Compiler: Compiled 3 560 to 1 670 computations (53.1% saved)

prune15.0ms (0.3%)

Memory

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

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	286	5	291
Fresh	1	6	7
Picked	4	1	5
Done	0	2	2
Total	291	14	305

Accuracy

100.0%

Counts

305 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(.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))))
	100.0%	(.f64 (cos.f64 #s(approx ( -1/2 (+ (+ x eps) x)) (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1/2 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)))
	99.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	99.2%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) eps))
✓	98.4%	#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 (.f64 x eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) x)) x #s(literal 1 binary64))) eps))
	97.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (fma.f64 (*.f64 eps x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
	98.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64))) eps))
	98.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) #s(approx (+ (* (+ (* -1/2 eps) (* (+ (* (* x eps) 1/12) -1/2) x)) x) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))) eps))
	99.6%	#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))))))
	99.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 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))))
✓	99.2%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
	98.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) #s(approx (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x)))) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) (/.f64 #s(literal 1 binary64) eps))))))))
✓	97.7%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps #s(approx (cos x) #s(literal 1 binary64))))
	98.4%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 eps x (.f64 eps eps))) x eps)))

Compiler

Compiled 623 to 456 computations (26.8% saved)

regimes37.0ms (0.6%)

Memory

-16.7MiB live, 29.4MiB allocated; 3ms collecting garbage

Counts

28 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

21.0ms	eps
7.0ms	x
7.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Accuracy	Segments	Branch
100.0%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
100.0%	1	`x`
100.0%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes17.0ms (0.3%)

Memory

-18.4MiB live, 28.5MiB allocated; 2ms collecting garbage

Counts

19 → 1

Calls

Call 1

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

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))))

Calls

3 calls:

6.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
5.0ms	x
5.0ms	eps

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes15.0ms (0.3%)

Memory

21.2MiB live, 21.2MiB allocated; 0ms collecting garbage

Counts

18 → 1

Calls

Call 1

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

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))))))

Calls

3 calls:

5.0ms	x
5.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
5.0ms	eps

Results

Accuracy	Segments	Branch
99.6%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.6%	1	`x`
99.6%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes25.0ms (0.4%)

Memory

-23.1MiB live, 22.2MiB allocated; 4ms collecting garbage

Counts

17 → 1

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
4.0ms	x
4.0ms	eps

Results

Accuracy	Segments	Branch
99.2%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.2%	1	`x`
99.2%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes12.0ms (0.2%)

Memory

21.7MiB live, 21.7MiB allocated; 0ms collecting garbage

Counts

14 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
4.0ms	eps
4.0ms	x

Results

Accuracy	Segments	Branch
99.2%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.2%	1	`x`
99.2%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes11.0ms (0.2%)

Memory

14.8MiB live, 14.8MiB allocated; 0ms collecting garbage

Counts

12 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	x
3.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
3.0ms	eps

Results

Accuracy	Segments	Branch
98.4%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
98.4%	1	`x`
98.4%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes14.0ms (0.2%)

Memory

-44.4MiB live, 10.9MiB allocated; 20ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
2.0ms	eps
2.0ms	x

Results

Accuracy	Segments	Branch
98.4%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
98.4%	1	`x`
98.4%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes5.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

Calls

3 calls:

1.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
1.0ms	x
1.0ms	eps

Results

Accuracy	Segments	Branch
97.7%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
97.7%	1	`x`
97.7%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

derivations54.0ms (0.9%)

Memory

3.0MiB live, 48.3MiB allocated; 4ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 95 to 72 computations (24.2% saved)

preprocess68.0ms (1.2%)

Memory: 17.6MiB live, 159.6MiB allocated; 24ms collecting garbage
Compiler: Compiled 138 to 111 computations (19.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze49.0ms (0.8%)

sample4.7s (81%)

preprocess48.0ms (0.8%)

series9.0ms (0.2%)

rewrite146.0ms (2.5%)

eval46.0ms (0.8%)

prune9.0ms (0.1%)

series83.0ms (1.4%)

rewrite54.0ms (0.9%)

eval42.0ms (0.7%)

prune13.0ms (0.2%)

series72.0ms (1.2%)

rewrite49.0ms (0.8%)

eval39.0ms (0.7%)

prune12.0ms (0.2%)

series64.0ms (1.1%)

rewrite53.0ms (0.9%)

eval41.0ms (0.7%)

prune15.0ms (0.3%)

regimes37.0ms (0.6%)

regimes17.0ms (0.3%)

regimes15.0ms (0.3%)

regimes25.0ms (0.4%)

regimes12.0ms (0.2%)

regimes11.0ms (0.2%)

regimes14.0ms (0.2%)

regimes5.0ms (0.1%)

derivations54.0ms (0.9%)

preprocess68.0ms (1.2%)

end0.0ms (0%)

Profiling