Metrics for 2sin (example 3.3)

start0.0ms (0.0%)

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

analyze35.0ms (0.5%)

Memory

-19.9MiB live, 25.9MiB allocated; 9ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample4.5s (68.4%)

Memory

119.8MiB live, 6 905.7MiB allocated; 2.4s collecting garbage

Samples

2.0s	26 203×	0	invalid
766.0ms	5 565×	1	valid
200.0ms	2 691×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.7s

ival-sin: 684.0ms (39.6% of total)

ival-fabs: 256.0ms (14.8% of total)

adjust: 170.0ms (9.8% of total)

ival-<: 159.0ms (9.2% of total)

ival-add!: 143.0ms (8.3% of total)

ival-mult!: 143.0ms (8.3% of total)

ival-sub!: 102.0ms (5.9% of total)

ival-and: 59.0ms (3.4% of total)

ival-assert: 13.0ms (0.8% of total)

Bogosity

preprocess49.0ms (0.7%)

Memory

-22.2MiB live, 115.4MiB allocated; 22ms 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
▶	63.8%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs

Outputs

series13.0ms (0.2%)

Memory

36.4MiB live, 36.4MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	485

Stop Event

1×	iter-limit

Counts

6 → 31

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite175.0ms (2.6%)

Memory

4.8MiB live, 288.0MiB allocated; 62ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 170

Calls

Call 1

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

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

eval20.0ms (0.3%)

Memory: 6.2MiB live, 52.8MiB allocated; 3ms collecting garbage
Compiler: Compiled 4 069 to 774 computations (81.0% saved)

prune12.0ms (0.2%)

Memory

-18.0MiB live, 28.6MiB allocated; 2ms collecting garbage

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	183	13	196
Fresh	0	0	0
Picked	1	0	1
Done	-1	1	0
Total	183	14	197

Accuracy

100.0%

Counts

197 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.1%	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
	7.9%	(-.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 x) (PI.f64)) eps)) (sin.f64 x))
▶	5.0%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 (neg.f64 x) (PI.f64))))
✓	63.8%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	7.8%	(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64))))
▶	5.1%	(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
	8.3%	(-.f64 (sin.f64 #s(approx (+ x eps) eps)) (sin.f64 x))
	63.5%	(.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)))
▶	99.7%	(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
	96.4%	#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64)))))
▶	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))))))
	98.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x))))))))
	98.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
▶	97.8%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))

Compiler

Compiled 423 to 316 computations (25.3% saved)

sample0.0ms (0.0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Calls

Call 1

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

Outputs
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
#s(literal -1/2 binary64)
#s(literal 884279719003555/281474976710656 binary64)
#s(literal 884279719003555/562949953421312 binary64)
#s(literal -6004799503160661/36028797018963968 binary64)
#s(literal 6004799503160661/144115188075855872 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 12 to 10 computations (16.7% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series86.0ms (1.3%)

Memory

-9.7MiB live, 135.3MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	822	4742

Stop Event

1×	iter-limit

Counts

40 → 190

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
7.0ms	x	inf
6.0ms	x	-inf
6.0ms	x	0
5.0ms	eps	-inf
5.0ms	eps	inf

rewrite227.0ms (3.4%)

Memory

-46.0MiB live, 374.8MiB allocated; 59ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	281
0	77	263
1	386	257
2	1881	257
0	4029	254

Stop Event

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

Counts

40 → 535

Calls

Call 1

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

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

eval91.0ms (1.4%)

Memory: 40.4MiB live, 272.0MiB allocated; 33ms collecting garbage
Compiler: Compiled 20 467 to 3 447 computations (83.2% saved)

prune31.0ms (0.5%)

Memory

2.5MiB live, 99.4MiB allocated; 12ms collecting garbage

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	657	17	674
Fresh	3	5	8
Picked	5	0	5
Done	-1	2	1
Total	664	24	688

Accuracy

100.0%

Counts

688 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.1%	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
	7.9%	(-.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 x) (PI.f64)) eps)) (sin.f64 x))
	5.2%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 #s(approx (+ (neg x) (PI)) (*.f64 x (-.f64 (/.f64 (PI.f64) x) #s(literal 1 binary64))))))
✓	63.8%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	7.8%	(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64))))
▶	5.1%	(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 (neg.f64 x) #s(literal 884279719003555/562949953421312 binary64))))
	8.3%	(-.f64 (sin.f64 #s(approx (+ x eps) eps)) (sin.f64 x))
	63.5%	(.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)))
▶	99.7%	(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
	99.7%	(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) (sin.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)))))
▶	99.7%	(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))))
	98.9%	(.f64 #s(approx ( (sin (* 1/2 (- eps 0))) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
	3.1%	#s(approx (- (sin (+ x eps)) (sin (+ (neg x) (PI)))) (-.f64 (sin.f64 eps) (sin.f64 (PI.f64))))
	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps (cos.f64 x)) eps))
	98.8%	#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 #s(approx (+ ( -1/6 (cos x)) (* 1/24 (* eps (sin x)))) (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))))))))
	98.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))))
	97.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) #s(approx ( eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
	97.8%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
▶	97.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x))))
✓	97.8%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
	96.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
▶	96.4%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps #s(approx (cos x) #s(literal 1 binary64))))
	96.4%	#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
	96.7%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))))

Compiler

Compiled 919 to 687 computations (25.2% saved)

sample0.0ms (0.0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1/2
2
-1/2
1
(PI)
(* (PI) 1/2)
884279719003555/562949953421312
0

Outputs
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(literal 884279719003555/281474976710656 binary64)
#s(literal 884279719003555/562949953421312 binary64)
#s(literal 884279719003555/562949953421312 binary64)
#s(literal 0 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 12 to 10 computations (16.7% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series80.0ms (1.2%)

Memory

-3.1MiB live, 134.1MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	666	3316

Stop Event

1×	iter-limit

Counts

39 → 143

Calls

Call 1

Inputs
eps
#s(literal 1/2 binary64)
(*.f64 eps #s(literal 1/2 binary64))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
#s(literal 2 binary64)
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))
x
(fma.f64 #s(literal 2 binary64) x eps)
#s(literal -1/2 binary64)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))
(cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64)))
(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
#s(literal 1 binary64)
#s(approx (cos x) #s(literal 1 binary64))
(*.f64 eps #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps #s(approx (cos x) #s(literal 1 binary64))))
(PI.f64)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)
(sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x))
(.f64 eps (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x))))
(+.f64 x eps)
(sin.f64 (+.f64 x eps))
(neg.f64 x)
#s(literal 884279719003555/562949953421312 binary64)
(+.f64 (neg.f64 x) #s(literal 884279719003555/562949953421312 binary64))
(cos.f64 (+.f64 (neg.f64 x) #s(literal 884279719003555/562949953421312 binary64)))
(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 (neg.f64 x) #s(literal 884279719003555/562949953421312 binary64))))
#s(literal 0 binary64)
(-.f64 eps #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64))
(fma.f64 x #s(literal 2 binary64) eps)
(*.f64 #s(literal -1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))))

Outputs
#s(approx x x)
#s(approx (+ (* 2 x) eps) eps)
#s(approx (+ (* 2 x) eps) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
#s(approx (* (+ (* 2 x) eps) -1/2) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (* (+ (* 2 x) eps) -1/2) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 x (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (cos.f64 (.f64 #s(literal -1/2 binary64) eps)))) (.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)))))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 #s(literal -1/6 binary64) (.f64 x (sin.f64 (.f64 #s(literal -1/2 binary64) eps)))))) (.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)))))))
#s(approx (* (* (sin (* eps 1/2)) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (* (sin (* eps 1/2)) 2) (cos (* (+ (* 2 x) eps) -1/2))) (fma.f64 #s(literal 2 binary64) (.f64 x (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))
#s(approx (* (* (sin (* eps 1/2)) 2) (cos (* (+ (* 2 x) eps) -1/2))) (fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal -1 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))))
#s(approx (* (* (sin (* eps 1/2)) 2) (cos (* (+ (* 2 x) eps) -1/2))) (fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal -1 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal -1/3 binary64) (.f64 x (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))))))))
#s(approx (cos 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)) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* eps (cos x)) (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/24 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* eps (cos x)) (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) eps)))))))
#s(approx (- (sin (+ x eps)) (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 (- (* (PI) 1/2) x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (- (* (PI) 1/2) x) (fma.f64 #s(literal -1 binary64) x (*.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 #s(literal -1 binary64) (.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 (fma.f64 #s(literal -1 binary64) (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 (fma.f64 #s(literal -1 binary64) (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 (* 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 #s(literal -1 binary64) (.f64 eps (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.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 x (fma.f64 #s(literal -1 binary64) (.f64 eps (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 x (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 x (fma.f64 #s(literal -1 binary64) (.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 (+ x eps) (+.f64 eps x))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (.f64 #s(literal -1/6 binary64) (.f64 x (cos.f64 eps)))))))))
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx (+ (neg x) 884279719003555/562949953421312) #s(literal 884279719003555/562949953421312 binary64))
#s(approx (+ (neg x) 884279719003555/562949953421312) (+.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(approx (cos (+ (neg x) 884279719003555/562949953421312)) (cos.f64 #s(literal 884279719003555/562949953421312 binary64)))
#s(approx (cos (+ (neg x) 884279719003555/562949953421312)) (+.f64 (cos.f64 #s(literal 884279719003555/562949953421312 binary64)) (*.f64 x (sin.f64 #s(literal 884279719003555/562949953421312 binary64)))))
#s(approx (cos (+ (neg x) 884279719003555/562949953421312)) (+.f64 (cos.f64 #s(literal 884279719003555/562949953421312 binary64)) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (cos.f64 #s(literal 884279719003555/562949953421312 binary64)))) (.f64 #s(literal -1 binary64) (sin.f64 #s(literal 884279719003555/562949953421312 binary64)))))))
#s(approx (cos (+ (neg x) 884279719003555/562949953421312)) (+.f64 (cos.f64 #s(literal 884279719003555/562949953421312 binary64)) (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 884279719003555/562949953421312 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 x (sin.f64 #s(literal 884279719003555/562949953421312 binary64)))))) (*.f64 #s(literal -1 binary64) (sin.f64 #s(literal 884279719003555/562949953421312 binary64)))))))
#s(approx (- (sin (+ x eps)) (cos (+ (neg x) 884279719003555/562949953421312))) (-.f64 (sin.f64 eps) (cos.f64 #s(literal 884279719003555/562949953421312 binary64))))
#s(approx (- (sin (+ x eps)) (cos (+ (neg x) 884279719003555/562949953421312))) (-.f64 (+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (.f64 #s(literal -1 binary64) (sin.f64 #s(literal 884279719003555/562949953421312 binary64)))))) (cos.f64 #s(literal 884279719003555/562949953421312 binary64))))
#s(approx (- (sin (+ x eps)) (cos (+ (neg x) 884279719003555/562949953421312))) (-.f64 (+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (fma.f64 #s(literal -1 binary64) (sin.f64 #s(literal 884279719003555/562949953421312 binary64)) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 884279719003555/562949953421312 binary64))))))))) (cos.f64 #s(literal 884279719003555/562949953421312 binary64))))
#s(approx (- (sin (+ x eps)) (cos (+ (neg x) 884279719003555/562949953421312))) (-.f64 (+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (fma.f64 #s(literal -1 binary64) (sin.f64 #s(literal 884279719003555/562949953421312 binary64)) (.f64 x (-.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (.f64 x (fma.f64 #s(literal -1/6 binary64) (cos.f64 eps) (.f64 #s(literal 1/6 binary64) (sin.f64 #s(literal 884279719003555/562949953421312 binary64)))))) (*.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 884279719003555/562949953421312 binary64))))))))) (cos.f64 #s(literal 884279719003555/562949953421312 binary64))))
#s(approx (+ (* (PI) 1/2) (* -1/2 (+ (* x 2) eps))) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (+ (* (PI) 1/2) (* -1/2 (+ (* x 2) eps))) (fma.f64 #s(literal -1 binary64) x (fma.f64 #s(literal -1/2 binary64) eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (sin (+ (* (PI) 1/2) (* -1/2 (+ (* x 2) eps)))) (sin.f64 (fma.f64 #s(literal -1/2 binary64) eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (sin (+ (* (PI) 1/2) (* -1/2 (+ (* x 2) eps)))) (+.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal -1 binary64) (.f64 x (cos.f64 (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64))))))))
#s(approx (sin (+ (* (PI) 1/2) (* -1/2 (+ (* x 2) eps)))) (+.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 x (fma.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal -1/2 binary64) (.f64 x (sin.f64 (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64))))))))))
#s(approx (sin (+ (* (PI) 1/2) (* -1/2 (+ (* x 2) eps)))) (+.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 x (fma.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal 1/6 binary64) (.f64 x (cos.f64 (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64))))))))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (sin (+ (* (PI) 1/2) (* -1/2 (+ (* x 2) eps))))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (sin (+ (* (PI) 1/2) (* -1/2 (+ (* x 2) eps))))) (fma.f64 #s(literal -2 binary64) (.f64 x (.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64))))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (sin (+ (* (PI) 1/2) (* -1/2 (+ (* x 2) eps))))) (fma.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal -1 binary64) (.f64 x (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64)))))))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (sin (+ (* (PI) 1/2) (* -1/2 (+ (* x 2) eps))))) (fma.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal -1 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))))))))
#s(approx (+ (* 2 x) eps) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (* 2 x) eps) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
#s(approx (* (+ (* 2 x) eps) -1/2) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))))
#s(approx (* (* (sin (* eps 1/2)) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (cos x) (cos.f64 x))
#s(approx (* eps (cos x)) (*.f64 eps (cos.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (- (* (PI) 1/2) x) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x)) #s(literal 1 binary64))))
#s(approx (sin (- (* (PI) 1/2) x)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x)))
#s(approx (* eps (sin (- (* (PI) 1/2) x))) (.f64 eps (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x))))
#s(approx (+ x eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (sin (+ x eps)) (sin.f64 (+.f64 eps x)))
#s(approx (+ (neg x) 884279719003555/562949953421312) (.f64 x (-.f64 (.f64 #s(literal 884279719003555/562949953421312 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
#s(approx (cos (+ (neg x) 884279719003555/562949953421312)) (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x)))
#s(approx (- (sin (+ x eps)) (cos (+ (neg x) 884279719003555/562949953421312))) (-.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x))))
#s(approx (+ (* (PI) 1/2) (* -1/2 (+ (* x 2) eps))) (.f64 x (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x))) #s(literal 1 binary64))))
#s(approx (sin (+ (* (PI) 1/2) (* -1/2 (+ (* x 2) eps)))) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (sin (+ (* (PI) 1/2) (* -1/2 (+ (* x 2) eps))))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (+ (* 2 x) eps) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64)))))
#s(approx (* (+ (* 2 x) eps) -1/2) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (cos.f64 (.f64 #s(literal -1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))))
#s(approx (* (* (sin (* eps 1/2)) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x)))
#s(approx (- (* (PI) 1/2) x) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) x))))))
#s(approx (sin (- (* (PI) 1/2) x)) (sin.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (* eps (sin (- (* (PI) 1/2) x))) (.f64 eps (sin.f64 (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal 1/2 binary64) (PI.f64))))))
#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.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))))
#s(approx (+ (neg x) 884279719003555/562949953421312) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 884279719003555/562949953421312 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (cos (+ (neg x) 884279719003555/562949953421312)) (cos.f64 (+.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal -1 binary64) x))))
#s(approx (- (sin (+ x eps)) (cos (+ (neg x) 884279719003555/562949953421312))) (-.f64 (sin.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x))) (cos.f64 (+.f64 #s(literal 884279719003555/562949953421312 binary64) (.f64 #s(literal -1 binary64) x)))))
#s(approx (+ (* (PI) 1/2) (* -1/2 (+ (* x 2) eps))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64))) x))))))
#s(approx (sin (+ (* (PI) 1/2) (* -1/2 (+ (* x 2) eps)))) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)) (.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (sin (+ (* (PI) 1/2) (* -1/2 (+ (* x 2) eps))))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (* eps 1/2) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (sin (* eps 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (sin (* eps 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))))))
#s(approx (sin (* eps 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3840 binary64) (.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/48 binary64))))))
#s(approx (* (sin (* eps 1/2)) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (* (sin (* eps 1/2)) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1920 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/24 binary64))))))
#s(approx (* (sin (* eps 1/2)) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/1920 binary64) (.f64 #s(literal -1/322560 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/24 binary64))))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (cos.f64 (*.f64 #s(literal -1 binary64) x)))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x))))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 (.f64 #s(literal -1 binary64) x)))) (.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal -1 binary64) x)))))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1/48 binary64) (.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal -1 binary64) x)))))))
#s(approx (* (* (sin (* eps 1/2)) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps (cos.f64 (.f64 #s(literal -1 binary64) x))))
#s(approx (* (* (sin (* eps 1/2)) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 (*.f64 #s(literal -1 binary64) x)))))))
#s(approx (* (* (sin (* eps 1/2)) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 2 binary64) (.f64 eps (fma.f64 #s(literal -1/16 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1/48 binary64) (cos.f64 (*.f64 #s(literal -1 binary64) x)))))))))))
#s(approx (* (* (sin (* eps 1/2)) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal -1/24 binary64) (.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/16 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1/48 binary64) (cos.f64 (*.f64 #s(literal -1 binary64) x))))))))))))
#s(approx (- (sin (+ 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)) (sin.f64 x))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 x) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 x) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x)))))))))
#s(approx (- (sin (+ x eps)) (cos (+ (neg x) 884279719003555/562949953421312))) (-.f64 (sin.f64 x) (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x))))
#s(approx (- (sin (+ x eps)) (cos (+ (neg x) 884279719003555/562949953421312))) (-.f64 (+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x))) (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x))))
#s(approx (- (sin (+ x eps)) (cos (+ (neg x) 884279719003555/562949953421312))) (-.f64 (+.f64 (sin.f64 x) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))) (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x))))
#s(approx (- (sin (+ x eps)) (cos (+ (neg x) 884279719003555/562949953421312))) (-.f64 (+.f64 (sin.f64 x) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x)))))))) (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x))))
#s(approx (sin (+ (* (PI) 1/2) (* -1/2 (+ (* x 2) eps)))) (+.f64 (sin.f64 (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal 1/2 binary64) (PI.f64))))))))
#s(approx (sin (+ (* (PI) 1/2) (* -1/2 (+ (* x 2) eps)))) (+.f64 (sin.f64 (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal -1/8 binary64) (.f64 eps (sin.f64 (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal 1/2 binary64) (PI.f64))))))))))
#s(approx (sin (+ (* (PI) 1/2) (* -1/2 (+ (* x 2) eps)))) (+.f64 (sin.f64 (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (sin.f64 (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal 1/48 binary64) (.f64 eps (cos.f64 (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal 1/2 binary64) (PI.f64))))))))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (sin (+ (* (PI) 1/2) (* -1/2 (+ (* x 2) eps))))) (.f64 eps (+.f64 (sin.f64 (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (sin (+ (* (PI) 1/2) (* -1/2 (+ (* x 2) eps))))) (.f64 eps (+.f64 (sin.f64 (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal 2 binary64) (.f64 eps (fma.f64 #s(literal -1/16 binary64) (sin.f64 (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal -1/48 binary64) (sin.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (sin (+ (* (PI) 1/2) (* -1/2 (+ (* x 2) eps))))) (.f64 eps (+.f64 (sin.f64 (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/16 binary64) (sin.f64 (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal -1/48 binary64) (sin.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))))))))
#s(approx (sin (* eps 1/2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (* (sin (* eps 1/2)) 2) (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (+ (* 2 x) eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps)))))
#s(approx (* (+ (* 2 x) eps) -1/2) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
#s(approx (+ x eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (+ (* (PI) 1/2) (* -1/2 (+ (* x 2) eps))) (.f64 eps (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x eps) (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) eps))) #s(literal 1/2 binary64))))
#s(approx (+ (* 2 x) eps) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (* (+ (* 2 x) eps) -1/2) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (cos.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))
#s(approx (* (* (sin (* eps 1/2)) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x)))
#s(approx (+ x eps) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (sin (+ x eps)) (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))))
#s(approx (- (sin (+ x eps)) (cos (+ (neg x) 884279719003555/562949953421312))) (-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x))))
#s(approx (+ (* (PI) 1/2) (* -1/2 (+ (* x 2) eps))) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal 1/2 binary64) (PI.f64))) eps))))))
#s(approx (sin (+ (* (PI) 1/2) (* -1/2 (+ (* x 2) eps)))) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (sin (+ (* (PI) 1/2) (* -1/2 (+ (* x 2) eps))))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps)) (.f64 #s(literal 1/2 binary64) (PI.f64)))))))

Calls

6 calls:

Time	Variable	Point
24.0ms	x	0
8.0ms	eps	-inf
7.0ms	x	-inf
4.0ms	eps	inf
3.0ms	eps	0

rewrite193.0ms (2.9%)

Memory

-1.6MiB live, 427.9MiB allocated; 64ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	213
0	75	197
1	331	181
2	1381	181
0	4088	181

Stop Event

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

Counts

39 → 565

Calls

Call 1

Inputs
eps
#s(literal 1/2 binary64)
(*.f64 eps #s(literal 1/2 binary64))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
#s(literal 2 binary64)
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))
x
(fma.f64 #s(literal 2 binary64) x eps)
#s(literal -1/2 binary64)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))
(cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64)))
(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
#s(literal 1 binary64)
#s(approx (cos x) #s(literal 1 binary64))
(*.f64 eps #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps #s(approx (cos x) #s(literal 1 binary64))))
(PI.f64)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)
(sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x))
(.f64 eps (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x))))
(+.f64 x eps)
(sin.f64 (+.f64 x eps))
(neg.f64 x)
#s(literal 884279719003555/562949953421312 binary64)
(+.f64 (neg.f64 x) #s(literal 884279719003555/562949953421312 binary64))
(cos.f64 (+.f64 (neg.f64 x) #s(literal 884279719003555/562949953421312 binary64)))
(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 (neg.f64 x) #s(literal 884279719003555/562949953421312 binary64))))
#s(literal 0 binary64)
(-.f64 eps #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64))
(fma.f64 x #s(literal 2 binary64) eps)
(*.f64 #s(literal -1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))))

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

eval82.0ms (1.2%)

Memory: 6.2MiB live, 186.5MiB allocated; 40ms collecting garbage
Compiler: Compiled 12 541 to 2 403 computations (80.8% saved)

prune27.0ms (0.4%)

Memory

-12.2MiB live, 77.5MiB allocated; 12ms collecting garbage

Pruning

25 alts after pruning (21 fresh and 4 done)

	Pruned	Kept	Total
New	539	10	549
Fresh	6	11	17
Picked	5	0	5
Done	-2	4	2
Total	548	25	573

Accuracy

100.0%

Counts

573 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.1%	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
	7.9%	(-.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 x) (PI.f64)) eps)) (sin.f64 x))
	5.1%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 #s(literal 884279719003555/562949953421312 binary64) x))))
✓	63.8%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶	5.1%	(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x)))
	7.8%	(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64))))
	8.3%	(-.f64 (sin.f64 #s(approx (+ x eps) eps)) (sin.f64 x))
	63.5%	(.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)))
▶	99.7%	(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)))))
▶	99.7%	(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) eps)))))
✓	99.7%	(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
	98.9%	(.f64 #s(approx ( (sin (* eps 1/2)) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
	3.1%	#s(approx (- (sin (+ x eps)) (sin (+ (neg x) (PI)))) (-.f64 (sin.f64 eps) (sin.f64 (PI.f64))))
	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps (cos.f64 x)) eps))
	98.8%	#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 #s(approx (+ ( -1/6 (cos x)) (* 1/24 (* eps (sin x)))) (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))))))))
	98.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))))
	97.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) #s(approx ( eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
	97.8%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
	97.8%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x))))
▶	97.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (sin.f64 (+.f64 (-.f64 x (.f64 (PI.f64) #s(literal 1/2 binary64))) (PI.f64)))))
✓	97.8%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
	96.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
✓	96.4%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps #s(approx (cos x) #s(literal 1 binary64))))
	96.4%	#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
▶	96.7%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))))

Compiler

Compiled 895 to 664 computations (25.8% saved)

sample0.0ms (0.0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1/2
2
(PI)
-1/2
(* (PI) 1/2)
884279719003555/562949953421312

Outputs
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal 884279719003555/281474976710656 binary64)
#s(literal -1/2 binary64)
#s(literal 884279719003555/562949953421312 binary64)
#s(literal 884279719003555/562949953421312 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 10 to 8 computations (20.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series67.0ms (1.0%)

Memory

36.4MiB live, 228.5MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	718	3898

Stop Event

1×	iter-limit

Counts

35 → 164

Calls

Call 1

Inputs
eps
#s(literal 1/2 binary64)
(*.f64 eps #s(literal 1/2 binary64))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
#s(literal 2 binary64)
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))
(PI.f64)
x
(fma.f64 x #s(literal 2 binary64) eps)
(-.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) eps)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) eps))))
(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) eps)))))
#s(literal -1/2 binary64)
(pow.f64 x #s(literal 2 binary64))
(*.f64 eps (pow.f64 x #s(literal 2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* eps (cos x)) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(-.f64 x (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(+.f64 (-.f64 x (*.f64 (PI.f64) #s(literal 1/2 binary64))) (PI.f64))
(sin.f64 (+.f64 (-.f64 x (*.f64 (PI.f64) #s(literal 1/2 binary64))) (PI.f64)))
(.f64 eps (sin.f64 (+.f64 (-.f64 x (.f64 (PI.f64) #s(literal 1/2 binary64))) (PI.f64))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (sin.f64 (+.f64 (-.f64 x (.f64 (PI.f64) #s(literal 1/2 binary64))) (PI.f64)))))
(+.f64 x eps)
(sin.f64 (+.f64 x eps))
#s(literal 884279719003555/562949953421312 binary64)
(-.f64 #s(literal 884279719003555/562949953421312 binary64) x)
(cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x))
(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x)))
(fma.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(sin.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)))))

Outputs
#s(approx x x)
#s(approx (+ (* x 2) eps) eps)
#s(approx (+ (* x 2) eps) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
#s(approx (- (PI) (+ (* x 2) eps)) (-.f64 (PI.f64) eps))
#s(approx (- (PI) (+ (* x 2) eps)) (-.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) x)) eps))
#s(approx (* 1/2 (- (PI) (+ (* x 2) eps))) (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps)))
#s(approx (* 1/2 (- (PI) (+ (* x 2) eps))) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))))
#s(approx (sin (* 1/2 (- (PI) (+ (* x 2) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))))
#s(approx (sin (* 1/2 (- (PI) (+ (* x 2) eps)))) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (.f64 #s(literal -1 binary64) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps)))))))
#s(approx (sin (* 1/2 (- (PI) (+ (* x 2) eps)))) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (.f64 x (fma.f64 #s(literal -1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (.f64 #s(literal -1/2 binary64) (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps)))))))))
#s(approx (sin (* 1/2 (- (PI) (+ (* x 2) eps)))) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (.f64 x (fma.f64 #s(literal -1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (.f64 #s(literal 1/6 binary64) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps)))))))))))
#s(approx (* (* (sin (* eps 1/2)) 2) (sin (* 1/2 (- (PI) (+ (* x 2) eps))))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))))))
#s(approx (* (* (sin (* eps 1/2)) 2) (sin (* 1/2 (- (PI) (+ (* x 2) eps))))) (fma.f64 #s(literal -2 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) 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) (-.f64 (PI.f64) eps)))))))
#s(approx (* (* (sin (* eps 1/2)) 2) (sin (* 1/2 (- (PI) (+ (* x 2) eps))))) (fma.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps)))) (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal -1 binary64) (.f64 x (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))))))))))
#s(approx (* (* (sin (* eps 1/2)) 2) (sin (* 1/2 (- (PI) (+ (* x 2) eps))))) (fma.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps)))) (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal -1 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps)))) (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))))))))
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (* eps (pow x 2)) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))
#s(approx (* -1/2 (* eps (pow x 2))) (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ eps (* -1/2 (* eps (pow x 2)))) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* eps (cos x)) (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/24 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* eps (cos x)) (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) eps)))))))
#s(approx (- (sin (+ x eps)) (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 (- x (* (PI) 1/2)) (*.f64 #s(literal -1/2 binary64) (PI.f64)))
#s(approx (- x (* (PI) 1/2)) (-.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (+ (- x (* (PI) 1/2)) (PI)) (-.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (+ (- x (* (PI) 1/2)) (PI)) (-.f64 (+.f64 x (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (sin (+ (- x (* (PI) 1/2)) (PI))) (sin.f64 (-.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (sin (+ (- x (* (PI) 1/2)) (PI))) (+.f64 (sin.f64 (-.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 x (cos.f64 (-.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (sin (+ (- x (* (PI) 1/2)) (PI))) (+.f64 (sin.f64 (-.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 x (+.f64 (cos.f64 (-.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal -1/2 binary64) (.f64 x (sin.f64 (-.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64))))))))))
#s(approx (sin (+ (- x (* (PI) 1/2)) (PI))) (+.f64 (sin.f64 (-.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 x (+.f64 (cos.f64 (-.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (-.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal -1/6 binary64) (.f64 x (cos.f64 (-.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64))))))))))))
#s(approx (* eps (sin (+ (- x (* (PI) 1/2)) (PI)))) (.f64 eps (sin.f64 (-.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (* eps (sin (+ (- x (* (PI) 1/2)) (PI)))) (fma.f64 eps (sin.f64 (-.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 eps (.f64 x (cos.f64 (-.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64))))))))
#s(approx (* eps (sin (+ (- x (* (PI) 1/2)) (PI)))) (fma.f64 eps (sin.f64 (-.f64 (PI.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 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (.f64 eps (cos.f64 (-.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))
#s(approx (* eps (sin (+ (- x (* (PI) 1/2)) (PI)))) (fma.f64 eps (sin.f64 (-.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 x (fma.f64 eps (cos.f64 (-.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 (-.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 #s(literal -1/6 binary64) (.f64 eps (.f64 x (cos.f64 (-.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64)))))))))))))
#s(approx (+ x eps) (+.f64 eps x))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (.f64 #s(literal -1/6 binary64) (.f64 x (cos.f64 eps)))))))))
#s(approx (- 884279719003555/562949953421312 x) #s(literal 884279719003555/562949953421312 binary64))
#s(approx (- 884279719003555/562949953421312 x) (+.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(approx (cos (- 884279719003555/562949953421312 x)) (cos.f64 #s(literal 884279719003555/562949953421312 binary64)))
#s(approx (cos (- 884279719003555/562949953421312 x)) (+.f64 (cos.f64 #s(literal 884279719003555/562949953421312 binary64)) (*.f64 x (sin.f64 #s(literal 884279719003555/562949953421312 binary64)))))
#s(approx (cos (- 884279719003555/562949953421312 x)) (+.f64 (cos.f64 #s(literal 884279719003555/562949953421312 binary64)) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (cos.f64 #s(literal 884279719003555/562949953421312 binary64)))) (.f64 #s(literal -1 binary64) (sin.f64 #s(literal 884279719003555/562949953421312 binary64)))))))
#s(approx (cos (- 884279719003555/562949953421312 x)) (+.f64 (cos.f64 #s(literal 884279719003555/562949953421312 binary64)) (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 884279719003555/562949953421312 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 x (sin.f64 #s(literal 884279719003555/562949953421312 binary64)))))) (*.f64 #s(literal -1 binary64) (sin.f64 #s(literal 884279719003555/562949953421312 binary64)))))))
#s(approx (- (sin (+ x eps)) (cos (- 884279719003555/562949953421312 x))) (-.f64 (sin.f64 eps) (cos.f64 #s(literal 884279719003555/562949953421312 binary64))))
#s(approx (- (sin (+ x eps)) (cos (- 884279719003555/562949953421312 x))) (-.f64 (+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (.f64 #s(literal -1 binary64) (sin.f64 #s(literal 884279719003555/562949953421312 binary64)))))) (cos.f64 #s(literal 884279719003555/562949953421312 binary64))))
#s(approx (- (sin (+ x eps)) (cos (- 884279719003555/562949953421312 x))) (-.f64 (+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (fma.f64 #s(literal -1 binary64) (sin.f64 #s(literal 884279719003555/562949953421312 binary64)) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 884279719003555/562949953421312 binary64))))))))) (cos.f64 #s(literal 884279719003555/562949953421312 binary64))))
#s(approx (- (sin (+ x eps)) (cos (- 884279719003555/562949953421312 x))) (-.f64 (+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (fma.f64 #s(literal -1 binary64) (sin.f64 #s(literal 884279719003555/562949953421312 binary64)) (.f64 x (-.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (.f64 x (fma.f64 #s(literal -1/6 binary64) (cos.f64 eps) (.f64 #s(literal 1/6 binary64) (sin.f64 #s(literal 884279719003555/562949953421312 binary64)))))) (*.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 884279719003555/562949953421312 binary64))))))))) (cos.f64 #s(literal 884279719003555/562949953421312 binary64))))
#s(approx (+ (* (+ (* x 2) eps) 1/2) (* (PI) 1/2)) (fma.f64 #s(literal 1/2 binary64) eps (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (+ (* (+ (* x 2) eps) 1/2) (* (PI) 1/2)) (+.f64 x (fma.f64 #s(literal 1/2 binary64) eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (sin (+ (* (+ (* x 2) eps) 1/2) (* (PI) 1/2))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (sin (+ (* (+ (* x 2) eps) 1/2) (* (PI) 1/2))) (+.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 x (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (sin (+ (* (+ (* x 2) eps) 1/2) (* (PI) 1/2))) (+.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 x (+.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal -1/2 binary64) (.f64 x (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64))))))))))
#s(approx (sin (+ (* (+ (* x 2) eps) 1/2) (* (PI) 1/2))) (+.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 x (+.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal -1/6 binary64) (.f64 x (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64))))))))))))
#s(approx (* (* (sin (* eps 1/2)) 2) (sin (+ (* (+ (* x 2) eps) 1/2) (* (PI) 1/2)))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (* (* (sin (* eps 1/2)) 2) (sin (+ (* (+ (* x 2) eps) 1/2) (* (PI) 1/2)))) (fma.f64 #s(literal 2 binary64) (.f64 x (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64))))))))
#s(approx (* (* (sin (* eps 1/2)) 2) (sin (+ (* (+ (* x 2) eps) 1/2) (* (PI) 1/2)))) (fma.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 x (fma.f64 #s(literal -1 binary64) (.f64 x (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))))
#s(approx (* (* (sin (* eps 1/2)) 2) (sin (+ (* (+ (* x 2) eps) 1/2) (* (PI) 1/2)))) (fma.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 x (fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal -1 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 #s(literal -1/3 binary64) (.f64 x (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))))))))
#s(approx (+ (* x 2) eps) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (* x 2) eps) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
#s(approx (- (PI) (+ (* x 2) eps)) (*.f64 #s(literal -2 binary64) x))
#s(approx (- (PI) (+ (* x 2) eps)) (*.f64 x (-.f64 (/.f64 (PI.f64) x) (+.f64 #s(literal 2 binary64) (/.f64 eps x)))))
#s(approx (* 1/2 (- (PI) (+ (* x 2) eps))) (*.f64 #s(literal -1 binary64) x))
#s(approx (* 1/2 (- (PI) (+ (* x 2) eps))) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (PI.f64) eps) x)) #s(literal 1 binary64))))
#s(approx (sin (* 1/2 (- (PI) (+ (* x 2) eps)))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (+.f64 eps (.f64 #s(literal 2 binary64) x))))))
#s(approx (* (* (sin (* eps 1/2)) 2) (sin (* 1/2 (- (PI) (+ (* x 2) eps))))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))))
#s(approx (+ eps (* -1/2 (* eps (pow x 2)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* eps (cos x)) (*.f64 eps (cos.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (- x (* (PI) 1/2)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) x)))))
#s(approx (+ (- x (* (PI) 1/2)) (PI)) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (PI.f64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x)))))
#s(approx (sin (+ (- x (* (PI) 1/2)) (PI))) (sin.f64 (-.f64 (+.f64 x (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (* eps (sin (+ (- x (* (PI) 1/2)) (PI)))) (.f64 eps (sin.f64 (-.f64 (+.f64 x (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (+ x eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (sin (+ x eps)) (sin.f64 (+.f64 eps x)))
#s(approx (- 884279719003555/562949953421312 x) (.f64 x (-.f64 (.f64 #s(literal 884279719003555/562949953421312 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
#s(approx (cos (- 884279719003555/562949953421312 x)) (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x)))
#s(approx (- (sin (+ x eps)) (cos (- 884279719003555/562949953421312 x))) (-.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x))))
#s(approx (+ (* (+ (* x 2) eps) 1/2) (* (PI) 1/2)) (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x))))))
#s(approx (sin (+ (* (+ (* x 2) eps) 1/2) (* (PI) 1/2))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x))))))
#s(approx (* (* (sin (* eps 1/2)) 2) (sin (+ (* (+ (* x 2) eps) 1/2) (* (PI) 1/2)))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))))
#s(approx (+ (* x 2) eps) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64)))))
#s(approx (- (PI) (+ (* x 2) eps)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (PI.f64) eps) x))))))
#s(approx (* 1/2 (- (PI) (+ (* x 2) eps))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (PI.f64) eps) x))))))
#s(approx (sin (* 1/2 (- (PI) (+ (* x 2) eps)))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (PI.f64) (.f64 #s(literal -2 binary64) x)) eps))))
#s(approx (* (* (sin (* eps 1/2)) 2) (sin (* 1/2 (- (PI) (+ (* x 2) eps))))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) x)) eps))))))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x)))
#s(approx (- x (* (PI) 1/2)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x)) #s(literal 1 binary64)))))
#s(approx (+ (- x (* (PI) 1/2)) (PI)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64))) x)) #s(literal 1 binary64)))))
#s(approx (sin (+ (- x (* (PI) 1/2)) (PI))) (sin.f64 (-.f64 (PI.f64) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (* eps (sin (+ (- x (* (PI) 1/2)) (PI)))) (.f64 eps (sin.f64 (-.f64 (PI.f64) (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#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.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))))
#s(approx (- 884279719003555/562949953421312 x) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 884279719003555/562949953421312 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (cos (- 884279719003555/562949953421312 x)) (cos.f64 (+.f64 #s(literal 884279719003555/562949953421312 binary64) (*.f64 #s(literal -1 binary64) x))))
#s(approx (- (sin (+ x eps)) (cos (- 884279719003555/562949953421312 x))) (-.f64 (sin.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x))) (cos.f64 (+.f64 #s(literal 884279719003555/562949953421312 binary64) (.f64 #s(literal -1 binary64) x)))))
#s(approx (+ (* (+ (* x 2) eps) 1/2) (* (PI) 1/2)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64))) x)) #s(literal 1 binary64)))))
#s(approx (sin (+ (* (+ (* x 2) eps) 1/2) (* (PI) 1/2))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x))))))
#s(approx (* (* (sin (* eps 1/2)) 2) (sin (+ (* (+ (* x 2) eps) 1/2) (* (PI) 1/2)))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))))
#s(approx (* eps 1/2) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (sin (* eps 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (sin (* eps 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))))))
#s(approx (sin (* eps 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3840 binary64) (.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/48 binary64))))))
#s(approx (* (sin (* eps 1/2)) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (* (sin (* eps 1/2)) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1920 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/24 binary64))))))
#s(approx (* (sin (* eps 1/2)) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/1920 binary64) (.f64 #s(literal -1/322560 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/24 binary64))))))
#s(approx (- (PI) (+ (* x 2) eps)) (-.f64 (PI.f64) (*.f64 #s(literal 2 binary64) x)))
#s(approx (- (PI) (+ (* x 2) eps)) (-.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) eps)) (.f64 #s(literal 2 binary64) x)))
#s(approx (* 1/2 (- (PI) (+ (* x 2) eps))) (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))
#s(approx (* 1/2 (- (PI) (+ (* x 2) eps))) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))))
#s(approx (sin (* 1/2 (- (PI) (+ (* x 2) eps)))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))))
#s(approx (sin (* 1/2 (- (PI) (+ (* x 2) eps)))) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))))))
#s(approx (sin (* 1/2 (- (PI) (+ (* x 2) eps)))) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 #s(literal -1/8 binary64) (.f64 eps (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (*.f64 #s(literal 2 binary64) x))))))))))
#s(approx (sin (* 1/2 (- (PI) (+ (* x 2) eps)))) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 #s(literal 1/48 binary64) (.f64 eps (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))))))))))
#s(approx (* (* (sin (* eps 1/2)) 2) (sin (* 1/2 (- (PI) (+ (* x 2) eps))))) (.f64 eps (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (*.f64 #s(literal 2 binary64) x))))))
#s(approx (* (* (sin (* eps 1/2)) 2) (sin (* 1/2 (- (PI) (+ (* x 2) eps))))) (.f64 eps (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (*.f64 #s(literal 2 binary64) x)))))))))
#s(approx (* (* (sin (* eps 1/2)) 2) (sin (* 1/2 (- (PI) (+ (* x 2) eps))))) (.f64 eps (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 #s(literal 2 binary64) (.f64 eps (fma.f64 #s(literal -1/16 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 #s(literal -1/48 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (*.f64 #s(literal 2 binary64) x)))))))))))))
#s(approx (* (* (sin (* eps 1/2)) 2) (sin (* 1/2 (- (PI) (+ (* x 2) eps))))) (.f64 eps (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/16 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)))) (.f64 #s(literal -1/48 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x))))))))))))))
#s(approx (+ eps (* -1/2 (* eps (pow x 2)))) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (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)) (sin.f64 x))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 x) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))))
#s(approx (sin (+ x eps)) (+.f64 (sin.f64 x) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x)))))))))
#s(approx (- (sin (+ x eps)) (cos (- 884279719003555/562949953421312 x))) (-.f64 (sin.f64 x) (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x))))
#s(approx (- (sin (+ x eps)) (cos (- 884279719003555/562949953421312 x))) (-.f64 (+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x))) (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x))))
#s(approx (- (sin (+ x eps)) (cos (- 884279719003555/562949953421312 x))) (-.f64 (+.f64 (sin.f64 x) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))) (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x))))
#s(approx (- (sin (+ x eps)) (cos (- 884279719003555/562949953421312 x))) (-.f64 (+.f64 (sin.f64 x) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x)))))))) (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x))))
#s(approx (+ (* (+ (* x 2) eps) 1/2) (* (PI) 1/2)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (sin (+ (* (+ (* x 2) eps) 1/2) (* (PI) 1/2))) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (sin (+ (* (+ (* x 2) eps) 1/2) (* (PI) 1/2))) (+.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64))))))))
#s(approx (sin (+ (* (+ (* x 2) eps) 1/2) (* (PI) 1/2))) (+.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (.f64 eps (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))))))))
#s(approx (sin (+ (* (+ (* x 2) eps) 1/2) (* (PI) 1/2))) (+.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal -1/48 binary64) (.f64 eps (cos.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64))))))))))))
#s(approx (* (* (sin (* eps 1/2)) 2) (sin (+ (* (+ (* x 2) eps) 1/2) (* (PI) 1/2)))) (.f64 eps (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (* (* (sin (* eps 1/2)) 2) (sin (+ (* (+ (* x 2) eps) 1/2) (* (PI) 1/2)))) (.f64 eps (+.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))
#s(approx (* (* (sin (* eps 1/2)) 2) (sin (+ (* (+ (* x 2) eps) 1/2) (* (PI) 1/2)))) (.f64 eps (+.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal 2 binary64) (.f64 eps (fma.f64 #s(literal -1/16 binary64) (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal -1/48 binary64) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))))))
#s(approx (* (* (sin (* eps 1/2)) 2) (sin (+ (* (+ (* x 2) eps) 1/2) (* (PI) 1/2)))) (.f64 eps (+.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 eps (fma.f64 #s(literal -1/24 binary64) (.f64 eps (cos.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/16 binary64) (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal -1/48 binary64) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))))))))
#s(approx (sin (* eps 1/2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (* (sin (* eps 1/2)) 2) (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (+ (* x 2) eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps)))))
#s(approx (- (PI) (+ (* x 2) eps)) (*.f64 #s(literal -1 binary64) eps))
#s(approx (- (PI) (+ (* x 2) eps)) (.f64 eps (-.f64 (/.f64 (PI.f64) eps) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))))
#s(approx (* 1/2 (- (PI) (+ (* x 2) eps))) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (* 1/2 (- (PI) (+ (* x 2) eps))) (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (PI.f64) (*.f64 #s(literal 2 binary64) x)) eps)) #s(literal 1/2 binary64))))
#s(approx (+ x eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (+ (* (+ (* x 2) eps) 1/2) (* (PI) 1/2)) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) eps) (/.f64 x eps)))))
#s(approx (+ (* x 2) eps) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (- (PI) (+ (* x 2) eps)) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)) eps))))))
#s(approx (* 1/2 (- (PI) (+ (* x 2) eps))) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (PI.f64) (.f64 #s(literal 2 binary64) x)) eps))))))
#s(approx (sin (* 1/2 (- (PI) (+ (* x 2) eps)))) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) eps)) (*.f64 #s(literal 2 binary64) x)))))
#s(approx (* (* (sin (* eps 1/2)) 2) (sin (* 1/2 (- (PI) (+ (* x 2) eps))))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (PI.f64) (.f64 #s(literal -1 binary64) eps)) (.f64 #s(literal 2 binary64) x)))))))
#s(approx (+ eps (* -1/2 (* eps (pow x 2)))) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x)))
#s(approx (+ x eps) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (sin (+ x eps)) (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))))
#s(approx (- (sin (+ x eps)) (cos (- 884279719003555/562949953421312 x))) (-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x))))
#s(approx (+ (* (+ (* x 2) eps) 1/2) (* (PI) 1/2)) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64))) eps)) #s(literal 1/2 binary64)))))
#s(approx (sin (+ (* (+ (* x 2) eps) 1/2) (* (PI) 1/2))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))
#s(approx (* (* (sin (* eps 1/2)) 2) (sin (+ (* (+ (* x 2) eps) 1/2) (* (PI) 1/2)))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps))))))))

Calls

6 calls:

Time	Variable	Point
10.0ms	x	-inf
7.0ms	eps	0
7.0ms	eps	-inf
5.0ms	eps	inf
4.0ms	x	inf

rewrite184.0ms (2.8%)

Memory

-32.4MiB live, 419.0MiB allocated; 51ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	233
0	69	227
1	336	220
2	1449	208
0	4331	203

Stop Event

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

Counts

35 → 521

Calls

Call 1

Inputs
eps
#s(literal 1/2 binary64)
(*.f64 eps #s(literal 1/2 binary64))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
#s(literal 2 binary64)
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))
(PI.f64)
x
(fma.f64 x #s(literal 2 binary64) eps)
(-.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) eps)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) eps))))
(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) eps)))))
#s(literal -1/2 binary64)
(pow.f64 x #s(literal 2 binary64))
(*.f64 eps (pow.f64 x #s(literal 2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* eps (cos x)) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(-.f64 x (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(+.f64 (-.f64 x (*.f64 (PI.f64) #s(literal 1/2 binary64))) (PI.f64))
(sin.f64 (+.f64 (-.f64 x (*.f64 (PI.f64) #s(literal 1/2 binary64))) (PI.f64)))
(.f64 eps (sin.f64 (+.f64 (-.f64 x (.f64 (PI.f64) #s(literal 1/2 binary64))) (PI.f64))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (sin.f64 (+.f64 (-.f64 x (.f64 (PI.f64) #s(literal 1/2 binary64))) (PI.f64)))))
(+.f64 x eps)
(sin.f64 (+.f64 x eps))
#s(literal 884279719003555/562949953421312 binary64)
(-.f64 #s(literal 884279719003555/562949953421312 binary64) x)
(cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x))
(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x)))
(fma.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(sin.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)))))

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

eval147.0ms (2.2%)

Memory: 18.0MiB live, 272.9MiB allocated; 64ms collecting garbage
Compiler: Compiled 19 158 to 3 460 computations (81.9% saved)

prune59.0ms (0.9%)

Memory

-4.9MiB live, 112.5MiB allocated; 52ms collecting garbage

Pruning

32 alts after pruning (27 fresh and 5 done)

	Pruned	Kept	Total
New	727	13	740
Fresh	2	14	16
Picked	5	0	5
Done	-1	5	4
Total	733	32	765

Accuracy

100.0%

Counts

765 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.1%	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
	7.9%	(-.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 x) (PI.f64)) eps)) (sin.f64 x))
	5.1%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 #s(literal 884279719003555/562949953421312 binary64) x))))
✓	63.8%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓	5.1%	(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x)))
	7.8%	(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64))))
	8.3%	(-.f64 (sin.f64 #s(approx (+ x eps) eps)) (sin.f64 x))
	63.5%	(.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)))
	99.7%	(.f64 (.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64) #s(literal 884279719003555/562949953421312 binary64))))
✓	99.7%	(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
	98.9%	(.f64 #s(approx ( (sin (* eps 1/2)) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (sin.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
	98.9%	(.f64 #s(approx ( (sin (* eps 1/2)) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) eps)))))
	98.9%	(.f64 #s(approx ( (sin (* eps 1/2)) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
	3.1%	#s(approx (- (sin (+ x eps)) (sin (+ (neg x) (PI)))) (-.f64 (sin.f64 eps) (sin.f64 (PI.f64))))
	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps (cos.f64 x)) eps))
	98.8%	#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 #s(approx (+ ( -1/6 (cos x)) (* 1/24 (* eps (sin x)))) (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))))))))
	98.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))))
	97.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) #s(approx ( eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
	97.8%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
	97.8%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) x) (PI.f64)))))
	97.8%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x))))
	97.8%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (+.f64 (-.f64 x #s(literal 884279719003555/562949953421312 binary64)) (PI.f64)))))
	97.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (sin.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (PI.f64)) x)) x))))
	97.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (sin.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (fma.f64 #s(literal -1/2 binary64) (PI.f64) x))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) x)))))
✓	97.8%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
	96.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
✓	96.4%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps #s(approx (cos x) #s(literal 1 binary64))))
	96.4%	#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
	96.7%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (fma.f64 (.f64 (.f64 eps x) x) #s(literal -1/2 binary64) eps)))
	96.7%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) x) x eps)))
	96.7%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (-.f64 eps (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x x)) eps))))
	45.8%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))))))

Compiler

Compiled 633 to 471 computations (25.6% saved)

regimes303.0ms (4.6%)

Memory

40.4MiB live, 629.4MiB allocated; 149ms collecting garbage

Counts

1 → 1

10 → 1

12 → 1

24 → 1

29 → 1

41 → 1

54 → 1

Calls

Call 1

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

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

Call 2

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

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

Call 3

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps #s(approx (cos x) #s(literal 1 binary64))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) x) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (fma.f64 (.f64 (.f64 eps x) x) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (-.f64 eps (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x x)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x))))

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

Call 4

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)) #s(approx (* eps (cos x)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) x) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (fma.f64 (.f64 (.f64 eps x) x) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (-.f64 eps (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x x)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (+.f64 (-.f64 x #s(literal 884279719003555/562949953421312 binary64)) (PI.f64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) x) (PI.f64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (sin.f64 (+.f64 (-.f64 x (.f64 (PI.f64) #s(literal 1/2 binary64))) (PI.f64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (sin.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (PI.f64)) x)) x))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (sin.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (fma.f64 #s(literal -1/2 binary64) (PI.f64) x))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) x)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) #s(approx ( eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin (+ (neg x) (PI)))) (-.f64 (sin.f64 eps) (sin.f64 (PI.f64))))
(-.f64 (sin.f64 #s(approx (+ x eps) eps)) (sin.f64 x))

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

Call 5

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)) #s(approx (* eps (cos x)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) x) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (fma.f64 (.f64 (.f64 eps x) x) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (-.f64 eps (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x x)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (+.f64 (-.f64 x #s(literal 884279719003555/562949953421312 binary64)) (PI.f64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) x) (PI.f64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (sin.f64 (+.f64 (-.f64 x (.f64 (PI.f64) #s(literal 1/2 binary64))) (PI.f64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (sin.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (PI.f64)) x)) x))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (sin.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (fma.f64 #s(literal -1/2 binary64) (PI.f64) x))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) x)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) #s(approx ( eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin (+ (neg x) (PI)))) (-.f64 (sin.f64 eps) (sin.f64 (PI.f64))))
(-.f64 (sin.f64 #s(approx (+ x eps) eps)) (sin.f64 x))
(.f64 #s(approx ( (sin (* 1/2 (- eps 0))) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
(.f64 #s(approx ( (sin (* eps 1/2)) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(.f64 #s(approx ( (sin (* eps 1/2)) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) eps)))))
(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x)))

Outputs

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

Call 6

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)) #s(approx (* eps (cos x)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) x) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (fma.f64 (.f64 (.f64 eps x) x) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (-.f64 eps (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x x)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (+.f64 (-.f64 x #s(literal 884279719003555/562949953421312 binary64)) (PI.f64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) x) (PI.f64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (sin.f64 (+.f64 (-.f64 x (.f64 (PI.f64) #s(literal 1/2 binary64))) (PI.f64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (sin.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (PI.f64)) x)) x))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (sin.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (fma.f64 #s(literal -1/2 binary64) (PI.f64) x))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) x)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) #s(approx ( eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin (+ (neg x) (PI)))) (-.f64 (sin.f64 eps) (sin.f64 (PI.f64))))
(-.f64 (sin.f64 #s(approx (+ x eps) eps)) (sin.f64 x))
(.f64 #s(approx ( (sin (* 1/2 (- eps 0))) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
(.f64 #s(approx ( (sin (* eps 1/2)) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(.f64 #s(approx ( (sin (* eps 1/2)) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) eps)))))
(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x)))
(.f64 #s(approx ( (sin (* eps 1/2)) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (sin.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64)))))
(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 (neg.f64 x) #s(literal 884279719003555/562949953421312 binary64))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 (neg.f64 x) (PI.f64))))
(-.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 x) (PI.f64)) eps)) (sin.f64 x))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))))
(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 #s(literal 884279719003555/562949953421312 binary64) x))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 #s(literal 884279719003555/562949953421312 binary64) x))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 #s(approx (+ (neg x) (PI)) (*.f64 x (-.f64 (/.f64 (PI.f64) x) #s(literal 1 binary64))))))

Outputs

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

Call 7

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)) #s(approx (* eps (cos x)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) x) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (fma.f64 (.f64 (.f64 eps x) x) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (-.f64 eps (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x x)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (+.f64 (-.f64 x #s(literal 884279719003555/562949953421312 binary64)) (PI.f64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (sin.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) x) (PI.f64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (sin.f64 (+.f64 (-.f64 x (.f64 (PI.f64) #s(literal 1/2 binary64))) (PI.f64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (sin.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (PI.f64)) x)) x))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (sin.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (fma.f64 #s(literal -1/2 binary64) (PI.f64) x))) (fma.f64 #s(literal -1/2 binary64) (PI.f64) x)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) #s(approx ( eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (sin (+ x eps)) (sin (+ (neg x) (PI)))) (-.f64 (sin.f64 eps) (sin.f64 (PI.f64))))
(-.f64 (sin.f64 #s(approx (+ x eps) eps)) (sin.f64 x))
(.f64 #s(approx ( (sin (* 1/2 (- eps 0))) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
(.f64 #s(approx ( (sin (* eps 1/2)) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(.f64 #s(approx ( (sin (* eps 1/2)) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) eps)))))
(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (-.f64 #s(literal 884279719003555/562949953421312 binary64) x)))
(.f64 #s(approx ( (sin (* eps 1/2)) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (sin.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64)))))
(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 (neg.f64 x) #s(literal 884279719003555/562949953421312 binary64))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 (neg.f64 x) (PI.f64))))
(-.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 x) (PI.f64)) eps)) (sin.f64 x))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))))
(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 #s(literal 884279719003555/562949953421312 binary64) x))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 #s(literal 884279719003555/562949953421312 binary64) x))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 #s(approx (+ (neg x) (PI)) (*.f64 x (-.f64 (/.f64 (PI.f64) x) #s(literal 1 binary64))))))
(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
(.f64 (.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64) #s(literal 884279719003555/562949953421312 binary64))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (fma.f64 x #s(literal 2 binary64) eps)))))
(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) (sin.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps #s(approx (+ ( -1/6 (cos x)) (* 1/24 (* eps (sin x)))) (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))))))
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (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)))

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

Calls

21 calls:

41.0ms	x
33.0ms	eps
30.0ms	eps
27.0ms	x
23.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Accuracy	Segments	Branch
96.4%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
96.4%	1	`x`
96.4%	1	`eps`
96.7%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
96.7%	1	`x`
96.7%	1	`eps`
97.8%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
97.8%	1	`x`
97.8%	1	`eps`
97.8%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
97.8%	1	`x`
97.8%	1	`eps`
98.9%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
98.9%	1	`x`
98.9%	1	`eps`
98.9%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
98.9%	1	`x`
98.9%	1	`eps`
99.7%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.7%	1	`x`
99.7%	1	`eps`

Compiler

Compiled 1 081 to 332 computations (69.3% saved)

derivations155.0ms (2.3%)

Memory

-42.7MiB live, 113.2MiB allocated; 124ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 129 to 58 computations (55.0% saved)

preprocess62.0ms (0.9%)

Memory: 37.4MiB live, 134.4MiB allocated; 11ms collecting garbage
Compiler: Compiled 177 to 97 computations (45.2% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze35.0ms (0.5%)

sample4.5s (68.4%)

preprocess49.0ms (0.7%)

sample0.0ms (0.0%)

series13.0ms (0.2%)

rewrite175.0ms (2.6%)

eval20.0ms (0.3%)

prune12.0ms (0.2%)

sample0.0ms (0.0%)

series86.0ms (1.3%)

rewrite227.0ms (3.4%)

eval91.0ms (1.4%)

prune31.0ms (0.5%)

sample0.0ms (0.0%)

series80.0ms (1.2%)

rewrite193.0ms (2.9%)

eval82.0ms (1.2%)

prune27.0ms (0.4%)

sample0.0ms (0.0%)

series67.0ms (1.0%)

rewrite184.0ms (2.8%)

eval147.0ms (2.2%)

prune59.0ms (0.9%)

regimes303.0ms (4.6%)

derivations155.0ms (2.3%)

preprocess62.0ms (0.9%)

end0.0ms (0.0%)

Profiling