Metrics for 2sin (example 3.3)

start0.0ms (0%)

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

analyze38.0ms (0.6%)

Memory

-7.9MiB live, 87.1MiB allocated; 13ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample4.9s (75.1%)

Memory

161.2MiB live, 7 311.1MiB allocated; 2.6s collecting garbage

Samples

2.2s	26 266×	0	invalid
771.0ms	5 582×	1	valid
168.0ms	2 674×	0	valid

Precisions

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

ival-sin: 677.0ms (33% of total)

ival-fabs: 305.0ms (14.9% of total)

ival-<: 296.0ms (14.4% of total)

adjust: 225.0ms (11% of total)

ival-mult!: 193.0ms (9.4% of total)

ival-add!: 169.0ms (8.2% of total)

ival-sub!: 110.0ms (5.4% of total)

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

ival-assert: 15.0ms (0.7% of total)

Bogosity

preprocess40.0ms (0.6%)

Memory

-10.0MiB live, 36.1MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.7%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Compiler

Compiled 14 to 12 computations (14.3% saved)

series13.0ms (0.2%)

Memory

32.3MiB live, 32.3MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	488

Stop Event

1×	iter-limit

Counts

6 → 31

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite116.0ms (1.8%)

Memory

4.8MiB live, 246.2MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	32	18
2	138	18
3	826	18
0	5025	18

Stop Event

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

Counts

6 → 164

Calls

Call 1

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

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

eval28.0ms (0.4%)

Memory: -34.9MiB live, 60.3MiB allocated; 12ms collecting garbage
Compiler: Compiled 3 663 to 712 computations (80.6% saved)

prune6.0ms (0.1%)

Memory

20.1MiB live, 20.1MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	186	5	191
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	186	6	192

Accuracy

100.0%

Counts

192 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	61.7%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶	100.0%	(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
▶	100.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x))))))))
▶	99.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
▶	99.5%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
▶	98.4%	#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))

Compiler

Compiled 171 to 130 computations (24% saved)

series60.0ms (0.9%)

Memory

1.3MiB live, 141.2MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	588	2942

Stop Event

1×	iter-limit

Counts

32 → 127

Calls

Call 1

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

Outputs
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 eps) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 eps) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/6 binary64) (cos.f64 eps))))))) #s(literal 1 binary64)))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (fma.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x) (.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x) (.f64 eps (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps x) (.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))))
#s(approx (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 x x)
#s(approx (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))) (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
#s(approx (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 eps x) (.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))
#s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (*.f64 #s(literal -1/6 binary64) eps))
#s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) eps)))
#s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))
#s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/12 binary64) eps (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (* -1/6 (* eps (cos x))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 #s(literal 1/12 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* -1/6 (* eps (cos x))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/144 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/12 binary64) eps)))))
#s(approx (* -1/6 (* eps (cos x))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/144 binary64) eps (.f64 #s(literal 1/4320 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (* eps (cos x)) eps)
#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 (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
#s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+.f64 eps (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+.f64 eps (.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))))
#s(approx (+ (cos x) (* -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x))))
#s(approx (+ (cos x) (* -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal -1/2 binary64) x)))))
#s(approx (+ (cos x) (* -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64)))))))
#s(approx (* -1/2 (* eps (sin x))) (.f64 #s(literal -1/2 binary64) (.f64 eps x)))
#s(approx (* -1/2 (* eps (sin x))) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* -1/2 (* eps (sin x))) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/240 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/12 binary64) eps))))))
#s(approx (* -1/2 (* eps (sin x))) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/240 binary64) eps (.f64 #s(literal 1/10080 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))))
#s(approx (* eps (sin x)) (*.f64 eps x))
#s(approx (* eps (sin x)) (.f64 x (+.f64 eps (.f64 #s(literal -1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* eps (sin x)) (.f64 x (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) eps (.f64 #s(literal 1/120 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (* eps (sin x)) (.f64 x (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/120 binary64) eps))))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (fma.f64 #s(literal 2 binary64) (.f64 x (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal -1 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal -1 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal -1/3 binary64) (.f64 x (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))))))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 x (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (cos.f64 (.f64 #s(literal -1/2 binary64) eps)))) (.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)))))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 #s(literal -1/6 binary64) (.f64 x (sin.f64 (.f64 #s(literal -1/2 binary64) eps)))))) (.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)))))))
#s(approx (* (+ (* 2 x) eps) -1/2) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (* (+ (* 2 x) eps) -1/2) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (+ (* 2 x) eps) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x))))))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
#s(approx (cos x) (cos.f64 x))
#s(approx (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))
#s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x)))))
#s(approx (sin x) (sin.f64 x))
#s(approx (* -1/6 (* eps (cos x))) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x))))
#s(approx (* eps (cos x)) (*.f64 eps (cos.f64 x)))
#s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
#s(approx (+ (cos x) (* -1/2 (* eps (sin x)))) (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))))
#s(approx (* -1/2 (* eps (sin x))) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))))
#s(approx (* eps (sin x)) (*.f64 eps (sin.f64 x)))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (cos.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))))
#s(approx (* (+ (* 2 x) eps) -1/2) (*.f64 #s(literal -1 binary64) x))
#s(approx (* (+ (* 2 x) eps) -1/2) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
#s(approx (+ (* 2 x) eps) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (* 2 x) eps) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x)))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (cos.f64 (.f64 #s(literal -1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))))
#s(approx (* (+ (* 2 x) eps) -1/2) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))))
#s(approx (+ (* 2 x) eps) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))))))
#s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
#s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps (cos.f64 (.f64 #s(literal -1 binary64) x))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 (*.f64 #s(literal -1 binary64) x)))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 2 binary64) (.f64 eps (fma.f64 #s(literal -1/16 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1/48 binary64) (cos.f64 (*.f64 #s(literal -1 binary64) x)))))))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (fma.f64 #s(literal -1/24 binary64) (.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/16 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1/48 binary64) (cos.f64 (*.f64 #s(literal -1 binary64) x))))))))))))
#s(approx (* (sin (* 1/2 (- eps 0))) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (* (sin (* 1/2 (- eps 0))) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1920 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/24 binary64))))))
#s(approx (* (sin (* 1/2 (- eps 0))) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/1920 binary64) (.f64 #s(literal -1/322560 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/24 binary64))))))
#s(approx (sin (* 1/2 (- eps 0))) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (sin (* 1/2 (- eps 0))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (sin (* 1/2 (- eps 0))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))))))
#s(approx (sin (* 1/2 (- eps 0))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3840 binary64) (.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/48 binary64))))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (cos.f64 (*.f64 #s(literal -1 binary64) x)))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x))))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 (.f64 #s(literal -1 binary64) x)))) (.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal -1 binary64) x)))))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1/48 binary64) (.f64 eps (sin.f64 (.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal -1 binary64) x)))))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (cos.f64 x))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/6 binary64) (cos.f64 x)))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/6 binary64) (cos.f64 x)))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/6 binary64) (cos.f64 x)))))
#s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))))
#s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))))
#s(approx (+ (cos x) (* -1/2 (* eps (sin x)))) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))))
#s(approx (* (sin (* 1/2 (- eps 0))) 2) (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (sin (* 1/2 (- eps 0))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (* (+ (* 2 x) eps) -1/2) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
#s(approx (+ (* 2 x) eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps)))))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x)))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))))))
#s(approx (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps) (*.f64 #s(literal 1/6 binary64) (cos.f64 x))))))
#s(approx (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) eps) (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))))
#s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal 1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))))))
#s(approx (+ (cos x) (* -1/2 (* eps (sin x)))) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))))
#s(approx (* (* (sin (* 1/2 (- eps 0))) 2) (cos (* (+ (* 2 x) eps) -1/2))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (cos (* (+ (* 2 x) eps) -1/2)) (cos.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))
#s(approx (* (+ (* 2 x) eps) -1/2) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))))
#s(approx (+ (* 2 x) eps) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))

Calls

6 calls:

Time	Variable	Point
7.0ms	eps	-inf
7.0ms	x	inf
6.0ms	eps	0
4.0ms	eps	inf
4.0ms	x	-inf

rewrite92.0ms (1.4%)

Memory

-12.6MiB live, 220.9MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	228
0	59	218
1	157	218
2	664	210
0	4304	204

Stop Event

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

Counts

32 → 616

Calls

Call 1

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

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

eval96.0ms (1.5%)

Memory: 39.2MiB live, 237.5MiB allocated; 24ms collecting garbage
Compiler: Compiled 19 895 to 3 280 computations (83.5% saved)

prune23.0ms (0.3%)

Memory

-19.7MiB live, 70.9MiB allocated; 5ms collecting garbage

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	792	13	805
Fresh	0	0	0
Picked	4	1	5
Done	1	0	1
Total	797	14	811

Accuracy

100.0%

Counts

811 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
▶	100.0%	(.f64 #s(approx ( (sin (* 1/2 (- eps 0))) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
	99.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
▶	100.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) (cos.f64 x))) eps))
	99.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) eps)))))))
▶	99.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))))
	99.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (sin.f64 (-.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal -1/2 binary64))))))
✓	99.5%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal -1/2 binary64) x)))))))
	98.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x))))))
▶	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+.f64 eps (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))))
	99.1%	#s(approx (- (sin (+ x eps)) (sin x)) #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))))))))
▶	98.4%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) eps))

Compiler

Compiled 658 to 471 computations (28.4% saved)

series78.0ms (1.2%)

Memory

10.3MiB live, 128.2MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	588	2949

Stop Event

1×	iter-limit

Counts

39 → 128

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite174.0ms (2.7%)

Memory

34.3MiB live, 223.2MiB allocated; 81ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	324
0	81	320
1	196	320
2	784	311
0	4439	298

Stop Event

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

Counts

39 → 730

Calls

Call 1

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

Outputs
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)))) eps))
(.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64)))) #s(literal 1 binary64)) eps)
(.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) (cos.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 x) eps))) (neg.f64 eps))
(.f64 (neg.f64 eps) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) (cos.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 x) eps))))
(.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64)))) eps) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)))) eps)
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64)))) eps))
(.f64 eps (.f64 #s(literal 1 binary64) (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64))))))
(.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)))))
(neg.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) (cos.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 x) eps))) eps))
(neg.f64 (.f64 eps (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) (cos.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 x) eps)))))
(neg.f64 (.f64 (neg.f64 eps) (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64))))))
(fma.f64 (.f64 (.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64))) #s(literal 1 binary64)) eps (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps))
(fma.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64))))
(fma.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x) (.f64 (cos.f64 x) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64)) eps)))
(fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal -1/2 binary64) (.f64 (.f64 (cos.f64 x) eps) (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64))))
(fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal -1/2 binary64) (.f64 (cos.f64 x) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64)) eps)))
(fma.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)))) #s(literal 1 binary64)) eps #s(literal 0 binary64))
(fma.f64 (.f64 eps (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64))) (cos.f64 x) (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps))
(fma.f64 (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps) #s(literal 1 binary64) (.f64 (.f64 (cos.f64 x) eps) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64))))
(fma.f64 (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps) #s(literal 1 binary64) (.f64 (cos.f64 x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)))
(fma.f64 (.f64 (cos.f64 x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)) #s(literal 1 binary64) (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) (cos.f64 x) (.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) eps))) (neg.f64 eps) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 (sin.f64 x) eps) (.f64 (.f64 (cos.f64 x) eps) (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64))))
(fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 (sin.f64 x) eps) (.f64 (cos.f64 x) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64)) eps)))
(fma.f64 (neg.f64 eps) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) (cos.f64 x) (.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) eps))) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps (.f64 (.f64 (cos.f64 x) eps) (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64))))
(fma.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps (.f64 (cos.f64 x) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64)) eps)))
(fma.f64 (.f64 (sin.f64 x) eps) (.f64 #s(literal -1/2 binary64) eps) (.f64 (.f64 (cos.f64 x) eps) (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64))))
(fma.f64 (.f64 (sin.f64 x) eps) (.f64 #s(literal -1/2 binary64) eps) (.f64 (cos.f64 x) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64)) eps)))
(fma.f64 (.f64 (cos.f64 x) eps) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps))
(fma.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)))) eps) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64)))) eps #s(literal 0 binary64))
(fma.f64 (.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64))) eps (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps))
(fma.f64 (cos.f64 x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps) (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps) (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps) (.f64 (.f64 (cos.f64 x) eps) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps) (.f64 (cos.f64 x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 (cos.f64 x) eps) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps))
(fma.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)))) eps) #s(literal 0 binary64))
(fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 (.f64 (cos.f64 x) eps) (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64))))
(fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 (cos.f64 x) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64)) eps)))
(fma.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 eps eps) (.f64 (.f64 (cos.f64 x) eps) (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64))))
(fma.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 eps eps) (.f64 (cos.f64 x) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64)) eps)))
(fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 x) eps) eps) (.f64 (.f64 (cos.f64 x) eps) (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64))))
(fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 x) eps) eps) (.f64 (cos.f64 x) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64)) eps)))
(fma.f64 (sin.f64 x) (.f64 (.f64 #s(literal -1/2 binary64) eps) eps) (.f64 (.f64 (cos.f64 x) eps) (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64))))
(fma.f64 (sin.f64 x) (.f64 (.f64 #s(literal -1/2 binary64) eps) eps) (.f64 (cos.f64 x) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64)) eps)))
(fma.f64 eps (.f64 #s(literal 1 binary64) (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64))))) #s(literal 0 binary64))
(fma.f64 eps (.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)))) (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps))
(fma.f64 eps (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) (.f64 (.f64 (cos.f64 x) eps) (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64))))
(fma.f64 eps (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) (.f64 (cos.f64 x) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64)) eps)))
(fma.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64)))) #s(literal 0 binary64))
(fma.f64 eps (.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64))) (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps))
(-.f64 (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps) (.f64 (neg.f64 eps) (.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)))))
(-.f64 (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) (cos.f64 x)) eps))
(-.f64 (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps) (neg.f64 (.f64 (.f64 (cos.f64 x) eps) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)))))
(-.f64 (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps) (neg.f64 (.f64 (cos.f64 x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps))))
(-.f64 (.f64 (.f64 (cos.f64 x) eps) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64))) (.f64 (neg.f64 eps) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))))
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eval125.0ms (1.9%)

Memory: -20.5MiB live, 216.8MiB allocated; 54ms collecting garbage
Compiler: Compiled 23 098 to 3 514 computations (84.8% saved)

prune68.0ms (1%)

Memory

3.4MiB live, 51.6MiB allocated; 73ms collecting garbage

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	799	6	805
Fresh	1	7	8
Picked	3	2	5
Done	0	1	1
Total	803	16	819

Accuracy

100.0%

Counts

819 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
▶	100.0%	(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx ( (sin (* 1/2 (- eps 0))) 2) (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)))
▶	100.0%	(.f64 #s(approx ( (sin (* 1/2 (- eps 0))) 2) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) eps x) (*.f64 (PI.f64) #s(literal -1/2 binary64)))))
	99.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
✓	100.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) (cos.f64 x))) eps))
	99.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx ( eps (sin x)) (*.f64 eps x)) #s(literal -1/2 binary64) (cos.f64 x)) eps))
▶	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
▶	99.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (.f64 #s(literal -1/2 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))))
	99.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) eps)))))))
	98.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 #s(approx (cos x) #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))))
	99.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (sin.f64 (-.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal -1/2 binary64))))))
✓	99.5%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps #s(approx (+ (cos x) ( -1/2 (* eps (sin x)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal -1/2 binary64) x)))))))
▶	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+.f64 eps (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))))
	99.1%	#s(approx (- (sin (+ x eps)) (sin x)) #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))))))))
✓	98.4%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) eps))

Compiler

Compiled 713 to 513 computations (28.1% saved)

series63.0ms (1%)

Memory

13.5MiB live, 107.0MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	682	3630

Stop Event

1×	iter-limit

Counts

43 → 147

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
11.0ms	eps	0
6.0ms	eps	-inf
5.0ms	eps	inf
5.0ms	x	-inf
4.0ms	x	inf

rewrite123.0ms (1.9%)

Memory

12.1MiB live, 191.8MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	403
0	90	378
1	269	356
2	1236	350
0	4131	335

Stop Event

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

Counts

43 → 827

Calls

Call 1

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

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

eval94.0ms (1.4%)

Memory: 15.2MiB live, 206.3MiB allocated; 19ms collecting garbage
Compiler: Compiled 24 764 to 3 496 computations (85.9% saved)

prune19.0ms (0.3%)

Memory

2.2MiB live, 48.7MiB allocated; 3ms collecting garbage

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	762	4	766
Fresh	3	5	8
Picked	2	3	5
Done	0	3	3
Total	767	15	782

Accuracy

100.0%

Counts

782 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(.f64 (.f64 #s(approx (sin (* 1/2 (- eps 0))) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))))
	100.0%	(.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 eps #s(literal 1/2 binary64) x))) #s(approx ( (sin (* 1/2 (- eps 0))) 2) (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)))
✓	100.0%	(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx ( (sin (* 1/2 (- eps 0))) 2) (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)))
	99.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
✓	100.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) (cos.f64 x))) eps))
	99.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx ( eps (sin x)) (*.f64 x eps)) #s(literal -1/2 binary64) (cos.f64 x)) eps))
✓	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
✓	99.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (.f64 #s(literal -1/2 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))))
	99.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps #s(approx (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) eps)))))))
	98.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 #s(approx (cos x) #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) #s(approx (* eps (sin x)) (*.f64 eps x))))))
	99.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (sin.f64 (-.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal -1/2 binary64))))))
✓	99.5%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
	99.1%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (+.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))))))))
	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (fma.f64 (.f64 (.f64 eps (+.f64 x eps)) #s(literal -1/2 binary64)) x eps)))
✓	98.4%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* eps (cos x)) eps))

Compiler

Compiled 346 to 248 computations (28.3% saved)

regimes153.0ms (2.3%)

Memory

-31.9MiB live, 220.8MiB allocated; 117ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

9 → 1

10 → 1

16 → 1

17 → 1

27 → 1

29 → 1

Calls

Call 1

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

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

Call 2

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

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

Call 3

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

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

Call 4

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

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

Call 5

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

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

Call 6

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

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

Call 7

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

Outputs

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

Calls

21 calls:

60.0ms	x
7.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
7.0ms	eps
6.0ms	x
6.0ms	eps

Results

Accuracy	Segments	Branch
98.4%	1	`x`
98.4%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
98.4%	1	`eps`
98.7%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
98.7%	1	`x`
98.7%	1	`eps`
99.5%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.5%	1	`x`
99.5%	1	`eps`
99.5%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.5%	1	`x`
99.5%	1	`eps`
99.9%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.9%	1	`x`
99.9%	1	`eps`
100.0%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
100.0%	1	`x`
100.0%	1	`eps`
100.0%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
100.0%	1	`x`
100.0%	1	`eps`

Compiler

Compiled 732 to 250 computations (65.8% saved)

derivations125.0ms (1.9%)

Memory

10.7MiB live, 130.1MiB allocated; 50ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 130 to 59 computations (54.6% saved)

preprocess98.0ms (1.5%)

Memory: 19.9MiB live, 126.4MiB allocated; 46ms collecting garbage
Compiler: Compiled 178 to 98 computations (44.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze38.0ms (0.6%)

sample4.9s (75.1%)

preprocess40.0ms (0.6%)

series13.0ms (0.2%)

rewrite116.0ms (1.8%)

eval28.0ms (0.4%)

prune6.0ms (0.1%)

series60.0ms (0.9%)

rewrite92.0ms (1.4%)

eval96.0ms (1.5%)

prune23.0ms (0.3%)

series78.0ms (1.2%)

rewrite174.0ms (2.7%)

eval125.0ms (1.9%)

prune68.0ms (1%)

series63.0ms (1%)

rewrite123.0ms (1.9%)

eval94.0ms (1.4%)

prune19.0ms (0.3%)

regimes153.0ms (2.3%)

derivations125.0ms (1.9%)

preprocess98.0ms (1.5%)

end0.0ms (0%)

Profiling