Metrics for 2cos (problem 3.3.5)

start0.0ms (0%)

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

analyze36.0ms (0.4%)

Memory

0.5MiB live, 44.7MiB allocated; 9ms 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)

sample6.7s (79.9%)

Memory

242.9MiB live, 9 031.4MiB allocated; 3.0s collecting garbage

Samples

2.3s	5 778×	2	valid
2.0s	26 651×	0	invalid
1.0s	2 429×	1	valid
5.0ms	49×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 4.2s

ival-cos: 2.9s (68.4% of total)

adjust: 370.0ms (8.9% of total)

ival-fabs: 265.0ms (6.4% of total)

ival-<: 168.0ms (4% of total)

ival-mult!: 153.0ms (3.7% of total)

ival-sub!: 148.0ms (3.5% of total)

ival-add!: 137.0ms (3.3% of total)

ival-and: 64.0ms (1.5% of total)

ival-assert: 13.0ms (0.3% of total)

Bogosity

preprocess58.0ms (0.7%)

Memory

-28.9MiB live, 24.9MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	46
1	143	42
2	1851	42

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.4%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 14 to 12 computations (14.3% saved)

series12.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	506

Stop Event

1×	iter-limit

Counts

6 → 33

Calls

Call 1

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

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (.f64 #s(literal -1 binary64) (.f64 x (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))) (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (.f64 #s(literal 1/6 binary64) (.f64 x (sin.f64 eps)))))) (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (cos (+ x eps)) (cos.f64 eps))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 eps) (.f64 #s(literal -1 binary64) (.f64 x (sin.f64 eps)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 eps))) (sin.f64 eps)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (.f64 #s(literal 1/6 binary64) (.f64 x (sin.f64 eps))))) (sin.f64 eps)))))
#s(approx (+ x eps) eps)
#s(approx (+ x eps) (+.f64 eps x))
#s(approx x x)
#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 (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (cos (+ x eps)) (cos.f64 (+.f64 eps x)))
#s(approx (+ x eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (cos x) (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 x)))
#s(approx (cos (+ x eps)) (cos.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 (- (cos (+ x eps)) (cos x)) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x))))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 x) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 x) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x))))) (sin.f64 x)))))
#s(approx (+ x eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x)))
#s(approx (cos (+ x eps)) (cos.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	x	0
1.0ms	eps	inf
1.0ms	eps	-inf
1.0ms	x	-inf
1.0ms	eps	0

rewrite102.0ms (1.2%)

Memory

16.0MiB live, 151.3MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	79	18
2	528	18
0	4119	18

Stop Event

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

Counts

6 → 230

Calls

Call 1

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

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

eval34.0ms (0.4%)

Memory: 3.1MiB live, 54.3MiB allocated; 9ms collecting garbage
Compiler: Compiled 5 792 to 1 321 computations (77.2% saved)

prune9.0ms (0.1%)

Memory

13.9MiB live, 13.8MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	252	7	259
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	252	8	260

Accuracy

99.8%

Counts

260 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.4%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
▶	50.8%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
▶	50.7%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
	79.0%	(.f64 (.f64 (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
▶	50.6%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
▶	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x))))) (sin.f64 x))))
	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
▶	80.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x))))

Compiler

Compiled 233 to 178 computations (23.6% saved)

series31.0ms (0.4%)

Memory

-10.6MiB live, 35.5MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	404	2012

Stop Event

1×	iter-limit

Counts

30 → 95

Calls

Call 1

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

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (.f64 #s(literal -1 binary64) (.f64 x (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))) (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (.f64 #s(literal 1/6 binary64) (.f64 x (sin.f64 eps)))))) (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x) (.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 x (fma.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (*.f64 eps x))) #s(literal 1 binary64)))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/4 binary64) eps (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) #s(literal 1 binary64)))))
#s(approx (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
#s(approx (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (*.f64 eps x))))))
#s(approx (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/36 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x) (.f64 #s(literal 1/4 binary64) eps)))))))
#s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64))
#s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps x)) #s(literal 1/2 binary64)))
#s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) eps (.f64 #s(literal 1/4 binary64) x))) #s(literal 1/2 binary64)))
#s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) eps (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/36 binary64) (.f64 eps x)))))) #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 (* 1/6 (* eps (sin x))) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))
#s(approx (* 1/6 (* eps (sin x))) (.f64 x (fma.f64 #s(literal -1/36 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) eps))))
#s(approx (* 1/6 (* eps (sin x))) (.f64 x (fma.f64 #s(literal 1/6 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/36 binary64) eps (.f64 #s(literal 1/720 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (* 1/6 (* eps (sin x))) (.f64 x (fma.f64 #s(literal 1/6 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/36 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/30240 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/720 binary64) eps))))))))
#s(approx (* eps (sin x)) (*.f64 eps x))
#s(approx (* eps (sin x)) (.f64 x (+.f64 eps (.f64 #s(literal -1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* eps (sin x)) (.f64 x (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) eps (.f64 #s(literal 1/120 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (* eps (sin x)) (.f64 x (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/120 binary64) eps))))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (cos (+ x eps)) (cos.f64 eps))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 eps) (.f64 #s(literal -1 binary64) (.f64 x (sin.f64 eps)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 eps))) (sin.f64 eps)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (.f64 #s(literal 1/6 binary64) (.f64 x (sin.f64 eps))))) (sin.f64 eps)))))
#s(approx (+ x eps) eps)
#s(approx (+ x eps) (+.f64 eps x))
#s(approx (* -1 (* eps (sin x))) (.f64 #s(literal -1 binary64) (.f64 eps x)))
#s(approx (* -1 (* eps (sin x))) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* -1 (* eps (sin x))) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/6 binary64) eps))))))
#s(approx (* -1 (* eps (sin x))) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) eps (.f64 #s(literal 1/5040 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))))
#s(approx (* -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 (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x))))) (sin.f64 x))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x)))
#s(approx (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))))
#s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x)))))
#s(approx (cos x) (cos.f64 x))
#s(approx (* 1/6 (* eps (sin x))) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x))))
#s(approx (* eps (sin x)) (*.f64 eps (sin.f64 x)))
#s(approx (sin x) (sin.f64 x))
#s(approx (cos (+ x eps)) (cos.f64 (+.f64 eps x)))
#s(approx (+ x eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (* -1 (* eps (sin x))) (.f64 #s(literal -1 binary64) (.f64 eps (sin.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 (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 x)))
#s(approx (cos (+ x eps)) (cos.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 (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x))))))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))) (sin.f64 x)))
#s(approx (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))))
#s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (- (cos eps) 1) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (- (cos eps) 1) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
#s(approx (- (cos eps) 1) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/40320 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64))))
#s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (cos eps) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos 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 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 x) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))))
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 x) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x))))) (sin.f64 x)))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (sin.f64 x))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/6 binary64) (sin.f64 x))))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/6 binary64) (sin.f64 x))))))
#s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))))
#s(approx (+ x eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x)))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) eps))))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (.f64 #s(literal -1/6 binary64) (sin.f64 x))))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) eps) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))))
#s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) eps))))))
#s(approx (cos (+ x eps)) (cos.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
4.0ms	x	inf
3.0ms	x	-inf
3.0ms	x	0
2.0ms	eps	inf
2.0ms	eps	-inf

rewrite107.0ms (1.3%)

Memory

-22.3MiB live, 162.7MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	198
0	53	196
1	266	196
2	1186	196
0	4112	193

Stop Event

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

Counts

30 → 322

Calls

Call 1

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

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

eval60.0ms (0.7%)

Memory: 42.5MiB live, 128.1MiB allocated; 26ms collecting garbage
Compiler: Compiled 13 395 to 2 096 computations (84.4% saved)

prune30.0ms (0.4%)

Memory

7.1MiB live, 59.8MiB allocated; 16ms collecting garbage

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	491	21	512
Fresh	1	1	2
Picked	5	0	5
Done	0	1	1
Total	497	23	520

Accuracy

100.0%

Counts

520 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.4%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	50.8%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
▶	79.0%	(.f64 (.f64 (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
▶	99.6%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 eps (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))) eps) (.f64 (neg.f64 eps) (sin.f64 x))))
	50.6%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64)))
	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))) eps) (sin.f64 x)) eps))
	80.9%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (sin.f64 x) (neg.f64 eps)))
	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) #s(approx ( eps (sin x)) (*.f64 eps x))))) (sin.f64 x))))
	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(approx (* 1/6 (* eps (sin x))) (.f64 x (fma.f64 #s(literal -1/36 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) eps)))))) (sin.f64 x))))
	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) eps (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/36 binary64) (.f64 eps x)))))) #s(literal 1/2 binary64)))) (sin.f64 x))))
	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) eps (.f64 #s(literal 1/4 binary64) x))) #s(literal 1/2 binary64)))) (sin.f64 x))))
▶	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps x)) #s(literal 1/2 binary64)))) (sin.f64 x))))
	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (sin.f64 x))))
	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64))) (sin.f64 x))))
▶	98.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))))))
	95.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) eps) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))))))
	52.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))))
	80.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(literal -1 binary64) (.f64 eps #s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
▶	80.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(literal -1 binary64) #s(approx ( eps (sin x)) (*.f64 eps x))))
	98.4%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))))))
	35.0%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))))))
	79.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (.f64 #s(literal -1/6 binary64) (sin.f64 x)))))))
	80.7%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* -1 (* eps (sin x))) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))

Compiler

Compiled 1 379 to 962 computations (30.2% saved)

series63.0ms (0.8%)

Memory

-20.0MiB live, 114.2MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	656	3564

Stop Event

1×	iter-limit

Counts

47 → 147

Calls

Call 1

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

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (.f64 #s(literal -1 binary64) (.f64 x (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))) (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (.f64 #s(literal 1/6 binary64) (.f64 x (sin.f64 eps)))))) (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (+ (* eps (* (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps)) (* (neg eps) (sin x))) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (+ (* eps (* (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps)) (* (neg eps) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64)))))))
#s(approx (+ (* eps (* (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps)) (* (neg eps) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1 binary64) eps (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))))
#s(approx (+ (* eps (* (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps)) (* (neg eps) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1 binary64) eps (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 x (fma.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 #s(literal 1/6 binary64) eps))))))))))
#s(approx (* (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (* (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
#s(approx (* (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (*.f64 eps x))))))
#s(approx (* (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/36 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x) (.f64 #s(literal 1/4 binary64) eps)))))))
#s(approx (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) #s(literal -1/2 binary64))
#s(approx (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps x)) #s(literal 1/2 binary64)))
#s(approx (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) eps (.f64 #s(literal 1/4 binary64) x))) #s(literal 1/2 binary64)))
#s(approx (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) eps (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/36 binary64) (.f64 eps x)))))) #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 (* (* (sin x) eps) 1/6) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))
#s(approx (* (* (sin x) eps) 1/6) (.f64 x (fma.f64 #s(literal -1/36 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) eps))))
#s(approx (* (* (sin x) eps) 1/6) (.f64 x (fma.f64 #s(literal 1/6 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/36 binary64) eps (.f64 #s(literal 1/720 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (* (* (sin x) eps) 1/6) (.f64 x (fma.f64 #s(literal 1/6 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/36 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/30240 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/720 binary64) eps))))))))
#s(approx (* (sin x) eps) (*.f64 eps x))
#s(approx (* (sin x) eps) (.f64 x (+.f64 eps (.f64 #s(literal -1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (sin x) eps) (.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 (* (sin x) eps) (.f64 x (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/120 binary64) eps))))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (* (neg eps) (sin x)) (.f64 #s(literal -1 binary64) (.f64 eps x)))
#s(approx (* (neg eps) (sin x)) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (neg eps) (sin x)) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/6 binary64) eps))))))
#s(approx (* (neg eps) (sin x)) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) eps (.f64 #s(literal 1/5040 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x) (.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))))))
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#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/4 binary64) eps (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) #s(literal 1 binary64)))))
#s(approx (* x (- (* 1/6 (pow eps 2)) 1)) (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))))
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#s(approx (* (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* (- (+ eps x) x) 1/2))) -2) (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 -2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))
#s(approx (* (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* (- (+ eps x) x) 1/2))) -2) (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 -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 1/3 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))))))
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* (- (+ eps x) x) 1/2))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
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#s(approx (sin (* (+ (+ eps x) x) 1/2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (sin (* (+ (+ eps x) x) 1/2)) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (sin (* (+ (+ eps x) x) 1/2)) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal -1/2 binary64) (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))))
#s(approx (sin (* (+ (+ eps x) x) 1/2)) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal -1/6 binary64) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) eps))))))))))
#s(approx (* (+ (+ eps x) x) 1/2) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (* (+ (+ eps x) x) 1/2) (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (+ (+ eps x) x) eps)
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#s(approx (+ eps x) (+.f64 eps x))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
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#s(approx (cos x) (cos.f64 x))
#s(approx (* (* (sin x) eps) 1/6) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x))))
#s(approx (* (sin x) eps) (*.f64 eps (sin.f64 x)))
#s(approx (sin x) (sin.f64 x))
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#s(approx (- (* 1/6 (* eps x)) 1/2) (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) eps) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* (- (+ eps x) x) 1/2))) -2) (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))))
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* (- (+ eps x) x) 1/2))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x))))))
#s(approx (sin (* (+ (+ eps x) x) 1/2)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))))
#s(approx (* (+ (+ eps x) x) 1/2) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x)))))
#s(approx (+ (+ eps x) x) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (+ eps x) x) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
#s(approx (+ eps x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
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#s(approx (* (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* (- (+ eps x) x) 1/2))) -2) (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))))
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* (- (+ eps x) x) 1/2))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x))))))
#s(approx (sin (* (+ (+ eps x) x) 1/2)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))))
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#s(approx (+ (+ eps x) x) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64)))))
#s(approx (+ eps x) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
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#s(approx (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
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#s(approx (* x (- (* 1/6 (pow eps 2)) 1)) (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
#s(approx (- (* 1/6 (pow eps 2)) 1) #s(literal -1 binary64))
#s(approx (- (* 1/6 (pow eps 2)) 1) (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(approx (* 1/6 (pow eps 2)) (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (pow eps 2) (pow.f64 eps #s(literal 2 binary64)))
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#s(approx (* (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* (- (+ eps x) x) 1/2))) -2) (.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal -2 binary64) (fma.f64 #s(literal -1/16 binary64) (sin.f64 x) (.f64 #s(literal -1/48 binary64) (sin.f64 x))) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))))))))))
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* (- (+ eps x) x) 1/2))) (.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 x))))
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#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* (- (+ eps x) x) 1/2))) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal 1/4 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/16 binary64) (sin.f64 x) (fma.f64 #s(literal -1/48 binary64) (sin.f64 x) (.f64 #s(literal -1/48 binary64) (*.f64 eps (cos.f64 x)))))))))))
#s(approx (sin (* (+ (+ eps x) x) 1/2)) (+.f64 (sin.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x)))))
#s(approx (sin (* (+ (+ eps x) x) 1/2)) (+.f64 (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (.f64 eps (sin.f64 x)) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))))
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#s(approx (sin (* (- (+ eps x) x) 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (sin (* (- (+ eps x) x) 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))))))
#s(approx (sin (* (- (+ eps x) x) 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3840 binary64) (.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/48 binary64))))))
#s(approx (+ (* eps (* (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps)) (* (neg eps) (sin x))) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (sin.f64 x))))
#s(approx (+ (* eps (* (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps)) (* (neg eps) (sin x))) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))))
#s(approx (+ (* eps (* (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps)) (* (neg eps) (sin x))) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/6 binary64) (sin.f64 x))))))
#s(approx (* (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))))
#s(approx (* (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))))
#s(approx (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/6 binary64) (sin.f64 x))))))
#s(approx (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1))) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
#s(approx (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps)))))
#s(approx (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal 1/6 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps)))))
#s(approx (* x (- (* 1/6 (pow eps 2)) 1)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal 1/6 binary64) x))))
#s(approx (- (* 1/6 (pow eps 2)) 1) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (- (* 1/6 (* eps x)) 1/2) (.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps)))))
#s(approx (* (+ (+ eps x) x) 1/2) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))
#s(approx (+ (+ eps x) x) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps)))))
#s(approx (+ eps x) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x)))
#s(approx (+ (* eps (* (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps)) (* (neg eps) (sin x))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) eps))))))
#s(approx (+ (* eps (* (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps)) (* (neg eps) (sin x))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (.f64 #s(literal -1/6 binary64) (sin.f64 x))))))
#s(approx (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) eps))))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) eps) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))))
#s(approx (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps) (.f64 #s(literal 1/6 binary64) x))))
#s(approx (- (* 1/6 (* eps x)) 1/2) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1/6 binary64) x (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps))))))
#s(approx (* (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* (- (+ eps x) x) 1/2))) -2) (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps)))))))
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* (- (+ eps x) x) 1/2))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))
#s(approx (sin (* (+ (+ eps x) x) 1/2)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))
#s(approx (* (+ (+ eps x) x) 1/2) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))))
#s(approx (+ (+ eps x) x) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (+ eps x) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))

Calls

6 calls:

Time	Variable	Point
10.0ms	x	0
9.0ms	eps	inf
5.0ms	eps	-inf
5.0ms	x	inf
4.0ms	x	-inf

rewrite136.0ms (1.6%)

Memory

6.0MiB live, 194.6MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	487
0	93	477
1	434	453
2	1677	453
0	4119	434

Stop Event

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

Counts

47 → 498

Calls

Call 1

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

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

eval90.0ms (1.1%)

Memory: 17.7MiB live, 203.8MiB allocated; 28ms collecting garbage
Compiler: Compiled 21 257 to 3 726 computations (82.5% saved)

prune34.0ms (0.4%)

Memory

-2.9MiB live, 61.9MiB allocated; 18ms collecting garbage

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	611	16	627
Fresh	7	10	17
Picked	5	0	5
Done	0	1	1
Total	623	27	650

Accuracy

100.0%

Counts

650 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.4%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	99.6%	(.f64 (.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 eps #s(literal 0 binary64)))))) #s(literal -2 binary64))
	99.7%	(.f64 (.f64 (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) #s(approx (sin ( (- (+ eps x) x) 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))))))) #s(literal -2 binary64))
▶	99.6%	(.f64 (.f64 (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) #s(approx (sin ( (- (+ eps x) x) 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal -2 binary64))
	99.7%	(.f64 #s(approx ( (sin (* (+ (+ eps x) x) 1/2)) (sin (* (- (+ eps x) x) 1/2))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))))) #s(literal -2 binary64))
▶	99.8%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 eps eps))))
	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 eps (.f64 #s(approx (+ ( (cos x) -1/2) (* (* (sin x) eps) 1/6)) #s(literal -1/2 binary64)) eps) (*.f64 (neg.f64 eps) (sin.f64 x))))
	99.6%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 eps eps)) (*.f64 (sin.f64 x) eps)))
	50.6%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64)))
	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))) eps) (sin.f64 x)) eps))
	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (fma.f64 (*.f64 eps x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps))
	80.9%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (sin.f64 x) (neg.f64 eps)))
	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) eps (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/36 binary64) (.f64 eps x)))))) #s(literal 1/2 binary64)))) (sin.f64 x))))
	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) eps (.f64 #s(literal 1/4 binary64) x))) #s(literal 1/2 binary64)))) (sin.f64 x))))
	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (sin.f64 x))))
▶	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64))) (sin.f64 x))))
	46.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64)))) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))))))))
	98.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x #s(approx (- ( 1/6 (pow eps 2)) 1) #s(literal -1 binary64)))))))
	98.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) x) (.f64 #s(literal -1/2 binary64) eps))) (*.f64 #s(literal -1/2 binary64) eps)))))
	52.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))))
	94.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps) (.f64 #s(literal 1/6 binary64) x)))))))
	51.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal 1/6 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps))))))))
	98.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1))) (.f64 x (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))))))
	50.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1))) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
	80.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(literal -1 binary64) (.f64 eps #s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
▶	80.4%	#s(approx (- (cos (+ x eps)) (cos x)) (neg.f64 #s(approx (* eps (sin x)) (*.f64 eps x))))
▶	80.7%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* -1 (* eps (sin x))) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))

Compiler

Compiled 1 771 to 1 224 computations (30.9% saved)

series75.0ms (0.9%)

Memory

-28.7MiB live, 107.1MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	669	3719

Stop Event

1×	iter-limit

Counts

46 → 153

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 eps eps))))
(fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 eps eps)))
(sin.f64 x)
x
(neg.f64 eps)
eps
(.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 eps eps))
(fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(*.f64 (sin.f64 x) eps)
#s(literal 1/6 binary64)
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
#s(literal -1/2 binary64)
(cos.f64 x)
(*.f64 eps eps)
#s(approx (- (cos (+ x eps)) (cos x)) (neg.f64 #s(approx (* eps (sin x)) (*.f64 eps x))))
(neg.f64 #s(approx (* eps (sin x)) (*.f64 eps x)))
#s(approx (* eps (sin x)) (*.f64 eps x))
(*.f64 eps x)
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* -1 (* eps (sin x))) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* -1 (* eps (sin x))) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
(.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal 1/6 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))
#s(literal -1 binary64)
(.f64 #s(literal 1/6 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(*.f64 eps (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64))) (sin.f64 x))))
(.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64))) (sin.f64 x)))
(-.f64 (.f64 eps #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64))) (sin.f64 x))
(.f64 eps #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)))
#s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) #s(approx (sin ( (- (+ eps x) x) 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal -2 binary64))
(.f64 (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) #s(approx (sin (* (- (+ eps x) x) 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
(sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))
(+.f64 (+.f64 eps x) x)
(+.f64 eps x)
#s(literal 1/2 binary64)
#s(approx (sin (* (- (+ eps x) x) 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))
#s(literal -1/48 binary64)
(pow.f64 eps #s(literal 2 binary64))
#s(literal -2 binary64)

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (.f64 #s(literal -1 binary64) (.f64 x (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))) (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (.f64 #s(literal 1/6 binary64) (.f64 x (sin.f64 eps)))))) (sin.f64 eps)))) #s(literal 1 binary64)))
#s(approx (+ (* (sin x) (neg eps)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (* eps eps))) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (+ (* (sin x) (neg eps)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (* eps eps))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64)))))))
#s(approx (+ (* (sin x) (neg eps)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (* eps eps))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1 binary64) eps (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))))
#s(approx (+ (* (sin x) (neg eps)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (* eps eps))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1 binary64) eps (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 x (fma.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 #s(literal 1/6 binary64) eps))))))))))
#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 (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (* eps eps)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) x))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (* eps eps)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (* eps eps)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 x (fma.f64 #s(literal -1/36 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) x) (.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps x)) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) eps (.f64 #s(literal 1/4 binary64) x))) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) eps (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/36 binary64) (.f64 eps x)))))) #s(literal 1/2 binary64)))
#s(approx (* (sin x) eps) (*.f64 eps x))
#s(approx (* (sin x) eps) (.f64 x (+.f64 eps (.f64 #s(literal -1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (sin x) eps) (.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 (* (sin x) eps) (.f64 x (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/120 binary64) eps))))))))
#s(approx (* -1/2 (cos x)) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (* -1/2 (cos x)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
#s(approx (* -1/2 (cos x)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1440 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/48 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 (neg (* eps (sin x))) (.f64 #s(literal -1 binary64) (.f64 eps x)))
#s(approx (neg (* eps (sin x))) (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) eps)))
#s(approx (neg (* eps (sin x))) (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/120 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) eps))) eps)))
#s(approx (neg (* eps (sin x))) (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/5040 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/120 binary64) eps))) (*.f64 #s(literal -1/6 binary64) eps))) eps)))
#s(approx (* -1 (* eps (sin x))) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* -1 (* eps (sin x))) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/6 binary64) eps))))))
#s(approx (* -1 (* eps (sin x))) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) eps (.f64 #s(literal 1/5040 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))))
#s(approx (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))) (*.f64 #s(literal -1 binary64) eps))
#s(approx (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))) (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal 1/6 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* 1/6 (* eps (pow x 2))) (.f64 #s(literal 1/6 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* eps (pow x 2)) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x) (.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 x (fma.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (*.f64 eps x))) #s(literal 1 binary64)))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/4 binary64) eps (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) #s(literal 1 binary64)))))
#s(approx (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
#s(approx (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (*.f64 eps x))))))
#s(approx (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/36 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x) (.f64 #s(literal 1/4 binary64) eps)))))))
#s(approx (* (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* (- (+ eps x) x) 1/2))) -2) (.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
#s(approx (* (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* (- (+ eps x) x) 1/2))) -2) (fma.f64 #s(literal -2 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) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))
#s(approx (* (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* (- (+ eps x) x) 1/2))) -2) (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 -2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))
#s(approx (* (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* (- (+ eps x) x) 1/2))) -2) (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 -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 1/3 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))))))
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* (- (+ eps x) x) 1/2))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* (- (+ eps x) x) 1/2))) (fma.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* (- (+ eps x) x) 1/2))) (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* (- (+ eps x) x) 1/2))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
#s(approx (sin (* (+ (+ eps x) x) 1/2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (sin (* (+ (+ eps x) x) 1/2)) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (sin (* (+ (+ eps x) x) 1/2)) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal -1/2 binary64) (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))))
#s(approx (sin (* (+ (+ eps x) x) 1/2)) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal -1/6 binary64) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) eps))))))))))
#s(approx (* (+ (+ eps x) x) 1/2) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (* (+ (+ eps x) x) 1/2) (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (+ (+ eps x) x) eps)
#s(approx (+ (+ eps x) x) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
#s(approx (+ eps x) (+.f64 eps x))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (+ (* (sin x) (neg eps)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (* eps eps))) (fma.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x)))))))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (* eps eps)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x)))))
#s(approx (* (sin x) eps) (*.f64 eps (sin.f64 x)))
#s(approx (* -1/2 (cos x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (neg (* eps (sin x))) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x))))
#s(approx (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2))))) (.f64 #s(literal 1/6 binary64) (.f64 eps (pow.f64 x #s(literal 3 binary64)))))
#s(approx (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/6 binary64) eps))))
#s(approx (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/6 binary64) eps))))
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x))))) (sin.f64 x))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x)))
#s(approx (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))))
#s(approx (* (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* (- (+ eps x) x) 1/2))) -2) (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))))
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* (- (+ eps x) x) 1/2))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x))))))
#s(approx (sin (* (+ (+ eps x) x) 1/2)) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))))
#s(approx (* (+ (+ eps x) x) 1/2) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x)))))
#s(approx (+ (+ eps x) x) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (+ eps x) x) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
#s(approx (+ eps x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 x)))
#s(approx (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) eps (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* (- (+ eps x) x) 1/2))) -2) (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))))
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* (- (+ eps x) x) 1/2))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x))))))
#s(approx (sin (* (+ (+ eps x) x) 1/2)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))))
#s(approx (* (+ (+ eps x) x) 1/2) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (+ (+ eps x) x) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64)))))
#s(approx (+ eps x) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))) (.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x))))
#s(approx (+ (* (sin x) (neg eps)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (* eps eps))) (.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))))))
#s(approx (+ (* (sin x) (neg eps)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (* eps eps))) (.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x))))))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (* eps eps)) (.f64 #s(literal -1/2 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 (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2))))) (.f64 eps (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))) (.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))) (sin.f64 x)))
#s(approx (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))))
#s(approx (* (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* (- (+ eps x) x) 1/2))) -2) (.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -2 binary64) (.f64 eps (fma.f64 #s(literal -1/16 binary64) (sin.f64 x) (.f64 #s(literal -1/48 binary64) (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))))
#s(approx (* (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* (- (+ eps x) x) 1/2))) -2) (.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal -2 binary64) (fma.f64 #s(literal -1/16 binary64) (sin.f64 x) (.f64 #s(literal -1/48 binary64) (sin.f64 x))) (.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x))))))))))
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* (- (+ eps x) x) 1/2))) (.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 x))))
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* (- (+ eps x) x) 1/2))) (.f64 eps (fma.f64 #s(literal 1/4 binary64) (.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* (- (+ eps x) x) 1/2))) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal 1/4 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/16 binary64) (sin.f64 x) (.f64 #s(literal -1/48 binary64) (sin.f64 x)))))))))
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* (- (+ eps x) x) 1/2))) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal 1/4 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/16 binary64) (sin.f64 x) (fma.f64 #s(literal -1/48 binary64) (sin.f64 x) (.f64 #s(literal -1/48 binary64) (*.f64 eps (cos.f64 x)))))))))))
#s(approx (sin (* (+ (+ eps x) x) 1/2)) (+.f64 (sin.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x)))))
#s(approx (sin (* (+ (+ eps x) x) 1/2)) (+.f64 (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (.f64 eps (sin.f64 x)) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))))
#s(approx (sin (* (+ (+ eps x) x) 1/2)) (+.f64 (sin.f64 x) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (sin.f64 x) (.f64 #s(literal -1/48 binary64) (.f64 eps (cos.f64 x)))))))))
#s(approx (sin (* (- (+ eps x) x) 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (sin (* (- (+ eps x) x) 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))))))
#s(approx (sin (* (- (+ eps x) x) 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3840 binary64) (.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/48 binary64))))))
#s(approx (+ 1/2 (* -1/48 (pow eps 2))) #s(literal 1/2 binary64))
#s(approx (+ 1/2 (* -1/48 (pow eps 2))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (* -1/48 (pow eps 2)) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (+ (* (sin x) (neg eps)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (* eps eps))) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (sin.f64 x))))
#s(approx (+ (* (sin x) (neg eps)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (* eps eps))) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))))
#s(approx (+ (* (sin x) (neg eps)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (* eps eps))) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/6 binary64) (sin.f64 x))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/6 binary64) (sin.f64 x))))))
#s(approx (* (+ (+ eps x) x) 1/2) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))
#s(approx (+ (+ eps x) x) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps)))))
#s(approx (+ eps x) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (* eps (+ 1/2 (* -1/48 (pow eps 2)))) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (* eps (+ 1/2 (* -1/48 (pow eps 2)))) (.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1/48 binary64))))
#s(approx (+ 1/2 (* -1/48 (pow eps 2))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1/48 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x)))
#s(approx (+ (* (sin x) (neg eps)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (* eps eps))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) eps))))))
#s(approx (+ (* (sin x) (neg eps)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (* eps 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 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (.f64 #s(literal -1/6 binary64) (sin.f64 x))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) eps))))))
#s(approx (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2))))) (.f64 #s(literal -1 binary64) (.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) eps) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))))
#s(approx (* (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* (- (+ eps x) x) 1/2))) -2) (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps)))))))
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* (- (+ eps x) x) 1/2))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))
#s(approx (sin (* (+ (+ eps x) x) 1/2)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))
#s(approx (* (+ (+ eps x) x) 1/2) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))))
#s(approx (+ (+ eps x) x) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (+ eps x) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (* eps (+ 1/2 (* -1/48 (pow eps 2)))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))))))

Calls

6 calls:

Time	Variable	Point
22.0ms	x	0
9.0ms	eps	0
5.0ms	eps	-inf
5.0ms	eps	inf
4.0ms	x	inf

rewrite139.0ms (1.7%)

Memory

45.7MiB live, 280.1MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	431
0	93	424
1	402	414
2	1577	414
0	4532	401

Stop Event

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

Counts

46 → 528

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 eps eps))))
(fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 eps eps)))
(sin.f64 x)
x
(neg.f64 eps)
eps
(.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 eps eps))
(fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(*.f64 (sin.f64 x) eps)
#s(literal 1/6 binary64)
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
#s(literal -1/2 binary64)
(cos.f64 x)
(*.f64 eps eps)
#s(approx (- (cos (+ x eps)) (cos x)) (neg.f64 #s(approx (* eps (sin x)) (*.f64 eps x))))
(neg.f64 #s(approx (* eps (sin x)) (*.f64 eps x)))
#s(approx (* eps (sin x)) (*.f64 eps x))
(*.f64 eps x)
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* -1 (* eps (sin x))) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* -1 (* eps (sin x))) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
(.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal 1/6 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))
#s(literal -1 binary64)
(.f64 #s(literal 1/6 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))
(*.f64 eps (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64))) (sin.f64 x))))
(.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64))) (sin.f64 x)))
(-.f64 (.f64 eps #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64))) (sin.f64 x))
(.f64 eps #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)))
#s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) #s(approx (sin ( (- (+ eps x) x) 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal -2 binary64))
(.f64 (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) #s(approx (sin (* (- (+ eps x) x) 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
(sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))
(+.f64 (+.f64 eps x) x)
(+.f64 eps x)
#s(literal 1/2 binary64)
#s(approx (sin (* (- (+ eps x) x) 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))
#s(literal -1/48 binary64)
(pow.f64 eps #s(literal 2 binary64))
#s(literal -2 binary64)

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)) (*.f64 (sin.f64 x) eps)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)))) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 x))) (.f64 eps eps)) (.f64 (neg.f64 eps) (sin.f64 x)))) (*.f64 (neg.f64 eps) (sin.f64 x)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)) (.f64 (neg.f64 eps) (sin.f64 x)))) (*.f64 (neg.f64 eps) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (neg.f64 eps)) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)) (fma.f64 (.f64 (neg.f64 (neg.f64 eps)) (sin.f64 x)) (.f64 (neg.f64 (neg.f64 eps)) (sin.f64 x)) (.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)) (*.f64 (neg.f64 (neg.f64 eps)) (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) eps)) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)) (fma.f64 (.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) eps)) (.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) eps)) (.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)) (.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) eps))))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 eps) (sin.f64 x)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)) (fma.f64 (.f64 (.f64 (neg.f64 eps) (sin.f64 x)) #s(literal -1 binary64)) (.f64 (.f64 (neg.f64 eps) (sin.f64 x)) #s(literal -1 binary64)) (.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)) (.f64 (*.f64 (neg.f64 eps) (sin.f64 x)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (sin.f64 x)) (neg.f64 eps)) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)) (fma.f64 (.f64 (neg.f64 (sin.f64 x)) (neg.f64 eps)) (.f64 (neg.f64 (sin.f64 x)) (neg.f64 eps)) (.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 eps))))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (.f64 (neg.f64 eps) (sin.f64 x))) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)) (fma.f64 (neg.f64 (.f64 (neg.f64 eps) (sin.f64 x))) (neg.f64 (.f64 (neg.f64 eps) (sin.f64 x))) (.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)) (neg.f64 (*.f64 (neg.f64 eps) (sin.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)) (fma.f64 (.f64 (sin.f64 x) eps) (.f64 (sin.f64 x) eps) (.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)) (*.f64 (sin.f64 x) eps)))))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps))) (.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (.f64 (neg.f64 eps) (sin.f64 x)))) (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 x))))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (.f64 (neg.f64 eps) (sin.f64 x))) (.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 x))) (.f64 eps eps)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 x))) (.f64 eps eps)))) (+.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 x))) (*.f64 eps eps))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 eps) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)) (-.f64 (.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (.f64 (neg.f64 eps) (sin.f64 x))) (.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)) (.f64 (neg.f64 eps) (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (.f64 (neg.f64 eps) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 x))) (.f64 eps eps)) #s(literal 3 binary64))) (fma.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (.f64 (neg.f64 eps) (sin.f64 x)) (fma.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 x))) (.f64 eps eps)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 x))) (.f64 eps eps)) (.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 x))) (*.f64 eps eps))))))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (.f64 (neg.f64 eps) (sin.f64 x))) (.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)))) (-.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps))))
(/.f64 (+.f64 (pow.f64 (.f64 (neg.f64 eps) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)) #s(literal 3 binary64))) (fma.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps))) (.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps))))))
(neg.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 x))) (.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 x))))
(fma.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (fabs.f64 eps)) (fabs.f64 eps) (.f64 (neg.f64 eps) (sin.f64 x)))
(fma.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (neg.f64 eps)) (neg.f64 eps) (.f64 (neg.f64 eps) (sin.f64 x)))
(fma.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) eps (neg.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 x))) (*.f64 eps eps))))
(fma.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) eps (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps)))
(fma.f64 (.f64 (sin.f64 x) #s(literal -1 binary64)) eps (neg.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 x))) (*.f64 eps eps))))
(fma.f64 (.f64 (sin.f64 x) #s(literal -1 binary64)) eps (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps)))
(fma.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) eps (.f64 (neg.f64 eps) (sin.f64 x)))
(fma.f64 (neg.f64 (sin.f64 x)) eps (neg.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 x))) (.f64 eps eps))))
(fma.f64 (neg.f64 (sin.f64 x)) eps (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)))
(fma.f64 (fabs.f64 eps) (.f64 (fabs.f64 eps) (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64)))) (.f64 (neg.f64 eps) (sin.f64 x)))
(fma.f64 (neg.f64 eps) (.f64 (neg.f64 eps) (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64)))) (.f64 (neg.f64 eps) (sin.f64 x)))
(fma.f64 (neg.f64 eps) (sin.f64 x) (neg.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 x))) (.f64 eps eps))))
(fma.f64 (neg.f64 eps) (sin.f64 x) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)))
(fma.f64 #s(literal -1 binary64) (.f64 (sin.f64 x) eps) (neg.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 x))) (*.f64 eps eps))))
(fma.f64 #s(literal -1 binary64) (.f64 (sin.f64 x) eps) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps)))
(fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1 binary64) (neg.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 x))) (*.f64 eps eps))))
(fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1 binary64) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps)))
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 (neg.f64 eps) (sin.f64 x)))
(fma.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps) (.f64 (neg.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 x) (neg.f64 eps) (neg.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 x))) (.f64 eps eps))))
(fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)))
(fma.f64 eps (.f64 #s(literal -1 binary64) (sin.f64 x)) (neg.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 x))) (*.f64 eps eps))))
(fma.f64 eps (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps)))
(fma.f64 eps (.f64 (sin.f64 x) #s(literal -1 binary64)) (neg.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 x))) (*.f64 eps eps))))
(fma.f64 eps (.f64 (sin.f64 x) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps)))
(fma.f64 eps (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) (.f64 (neg.f64 eps) (sin.f64 x)))
(fma.f64 eps (neg.f64 (sin.f64 x)) (neg.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 x))) (.f64 eps eps))))
(fma.f64 eps (neg.f64 (sin.f64 x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)))
(-.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 x))) (*.f64 eps eps)))
(-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)) (*.f64 (neg.f64 (neg.f64 eps)) (sin.f64 x)))
(-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)) (.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) eps)))
(-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)) (.f64 (.f64 (neg.f64 eps) (sin.f64 x)) #s(literal -1 binary64)))
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(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) eps) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/48 binary64) (.f64 eps eps)) eps) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal 1/2 binary64) eps) (fma.f64 (.f64 (.f64 #s(literal 1/48 binary64) (.f64 eps eps)) eps) (.f64 (.f64 #s(literal 1/48 binary64) (.f64 eps eps)) eps) (.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 (.f64 #s(literal 1/48 binary64) (*.f64 eps eps)) eps)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) eps) #s(literal 3 binary64)) (pow.f64 (neg.f64 (.f64 (.f64 (.f64 eps eps) eps) #s(literal -1/48 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal 1/2 binary64) eps) (fma.f64 (neg.f64 (.f64 (.f64 (.f64 eps eps) eps) #s(literal -1/48 binary64))) (neg.f64 (.f64 (.f64 (.f64 eps eps) eps) #s(literal -1/48 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) eps) (neg.f64 (.f64 (.f64 (*.f64 eps eps) eps) #s(literal -1/48 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal 1/2 binary64) eps)) (.f64 (.f64 (.f64 (.f64 eps eps) eps) #s(literal -1/48 binary64)) (.f64 (.f64 (.f64 eps eps) eps) #s(literal -1/48 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 (.f64 (.f64 eps eps) eps) #s(literal -1/48 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) eps) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 eps eps) eps) #s(literal -1/48 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal 1/2 binary64) eps) (-.f64 (.f64 (.f64 (.f64 (.f64 eps eps) eps) #s(literal -1/48 binary64)) (.f64 (.f64 (.f64 eps eps) eps) #s(literal -1/48 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 (.f64 (.f64 eps eps) eps) #s(literal -1/48 binary64))))))
(fma.f64 (.f64 eps #s(literal -1/48 binary64)) (.f64 eps eps) (*.f64 #s(literal 1/2 binary64) eps))
(fma.f64 (.f64 (.f64 eps eps) eps) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) eps))
(fma.f64 (.f64 #s(literal -1/48 binary64) (.f64 eps eps)) eps (*.f64 #s(literal 1/2 binary64) eps))
(fma.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) eps) (*.f64 #s(literal 1/2 binary64) eps))
(fma.f64 #s(literal 1/2 binary64) eps (.f64 (.f64 (*.f64 eps eps) eps) #s(literal -1/48 binary64)))
(fma.f64 (.f64 eps eps) (.f64 #s(literal -1/48 binary64) eps) (*.f64 #s(literal 1/2 binary64) eps))
(fma.f64 eps (.f64 #s(literal -1/48 binary64) (.f64 eps eps)) (*.f64 #s(literal 1/2 binary64) eps))
(fma.f64 eps #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 eps eps) eps) #s(literal -1/48 binary64)))
(-.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 (neg.f64 eps) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))))
(-.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 (.f64 #s(literal 1/48 binary64) (.f64 eps eps)) eps))
(-.f64 (.f64 #s(literal 1/2 binary64) eps) (neg.f64 (.f64 (.f64 (.f64 eps eps) eps) #s(literal -1/48 binary64))))
(+.f64 (.f64 (.f64 (.f64 eps eps) eps) #s(literal -1/48 binary64)) (.f64 #s(literal 1/2 binary64) eps))
(+.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 (.f64 (.f64 eps eps) eps) #s(literal -1/48 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (.f64 #s(literal -1/48 binary64) (*.f64 eps eps)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/48 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/48 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/48 binary64) (.f64 eps eps)) #s(literal 3 binary64)) (pow.f64 #s(literal -1/2 binary64) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/48 binary64) (.f64 eps eps)) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)) (fma.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64) (.f64 (.f64 #s(literal -1/48 binary64) (*.f64 eps eps)) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/48 binary64) (.f64 eps eps)) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (-.f64 (.f64 #s(literal -1/48 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/48 binary64) (.f64 eps eps)) (.f64 #s(literal 1/48 binary64) (.f64 eps eps)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/48 binary64) (.f64 eps eps))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/48 binary64) (.f64 eps eps)) #s(literal 3 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/48 binary64) (.f64 eps eps)) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)) (-.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal -1/48 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/48 binary64) (.f64 eps eps)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal 1/48 binary64) (.f64 eps eps)) (.f64 #s(literal 1/48 binary64) (.f64 eps eps)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/48 binary64) (*.f64 eps eps))))))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal -1/48 binary64) (.f64 eps eps)) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))))
(/.f64 (+.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/48 binary64) (.f64 eps eps)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64) (-.f64 (.f64 (.f64 #s(literal -1/48 binary64) (.f64 eps eps)) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))))))
(neg.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal -1/48 binary64) (fabs.f64 eps)) (fabs.f64 eps) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/48 binary64) (neg.f64 eps)) (neg.f64 eps) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/48 binary64) eps) eps #s(literal 1/2 binary64))
(fma.f64 (fabs.f64 eps) (*.f64 (fabs.f64 eps) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))
(fma.f64 (*.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64))
(fma.f64 eps (*.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64))
(-.f64 (.f64 #s(literal -1/48 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/48 binary64) (.f64 eps eps)))
(+.f64 (.f64 #s(literal -1/48 binary64) (.f64 eps eps)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (neg.f64 (.f64 #s(literal 1/48 binary64) (.f64 eps eps))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))
(.f64 (.f64 #s(literal -1/48 binary64) (fabs.f64 eps)) (fabs.f64 eps))
(.f64 (.f64 #s(literal -1/48 binary64) (neg.f64 eps)) (neg.f64 eps))
(.f64 (.f64 #s(literal -1/48 binary64) eps) eps)
(.f64 (fabs.f64 eps) (.f64 (fabs.f64 eps) #s(literal -1/48 binary64)))
(.f64 (neg.f64 eps) (.f64 (neg.f64 eps) #s(literal -1/48 binary64)))
(.f64 #s(literal -1/48 binary64) (.f64 eps eps))
(.f64 (.f64 eps eps) #s(literal -1/48 binary64))
(.f64 eps (.f64 eps #s(literal -1/48 binary64)))
#s(literal -1/48 binary64)
(*.f64 (neg.f64 (neg.f64 (fabs.f64 eps))) (neg.f64 (neg.f64 (fabs.f64 eps))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 eps))) (neg.f64 (neg.f64 (neg.f64 eps))))
(.f64 (fabs.f64 (.f64 (neg.f64 eps) #s(literal -1 binary64))) (fabs.f64 eps))
(*.f64 (pow.f64 (fabs.f64 eps) #s(literal 1 binary64)) (pow.f64 (fabs.f64 eps) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 eps) #s(literal 1 binary64)) (fabs.f64 eps))
(*.f64 (pow.f64 (neg.f64 eps) #s(literal 1 binary64)) (pow.f64 (neg.f64 eps) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 eps) #s(literal 1 binary64)) (neg.f64 eps))
(.f64 (pow.f64 #s(literal -1 binary64) #s(literal 2 binary64)) (.f64 eps eps))
(.f64 (.f64 (neg.f64 eps) eps) #s(literal -1 binary64))
(.f64 (.f64 (neg.f64 eps) #s(literal -1 binary64)) eps)
(*.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)))
(*.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 eps)))
(*.f64 (pow.f64 eps #s(literal 1 binary64)) (pow.f64 eps #s(literal 1 binary64)))
(*.f64 (pow.f64 eps #s(literal 1 binary64)) eps)
(.f64 #s(literal 1 binary64) (.f64 eps eps))
(*.f64 (pow.f64 eps (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 eps (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(.f64 (fabs.f64 eps) (fabs.f64 (.f64 #s(literal -1 binary64) (neg.f64 eps))))
(*.f64 (fabs.f64 eps) (fabs.f64 eps))
(*.f64 (neg.f64 eps) (neg.f64 eps))
(.f64 #s(literal -1 binary64) (.f64 eps (neg.f64 eps)))
(.f64 (.f64 eps eps) (pow.f64 #s(literal -1 binary64) #s(literal 2 binary64)))
(.f64 (.f64 eps eps) #s(literal 1 binary64))
(.f64 eps (.f64 #s(literal -1 binary64) (neg.f64 eps)))
(*.f64 eps eps)
(pow.f64 (neg.f64 (fabs.f64 eps)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 eps)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 eps) #s(literal 2 binary64))
(pow.f64 (neg.f64 eps) #s(literal 2 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 1 binary64))
(pow.f64 eps #s(literal 2 binary64))
(/.f64 (pow.f64 (fabs.f64 eps) #s(literal 1 binary64)) (pow.f64 (fabs.f64 eps) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 eps) #s(literal 1 binary64)) (pow.f64 (neg.f64 eps) #s(literal -1 binary64)))
(/.f64 (pow.f64 eps #s(literal 1 binary64)) (pow.f64 eps #s(literal -1 binary64)))
(neg.f64 (*.f64 eps (neg.f64 eps)))
(neg.f64 (*.f64 (neg.f64 eps) eps))
(sqrt.f64 (.f64 (.f64 eps eps) (*.f64 eps eps)))
(fabs.f64 (*.f64 eps (neg.f64 eps)))
(fabs.f64 (*.f64 (neg.f64 eps) eps))
(fabs.f64 (neg.f64 (*.f64 eps eps)))
(fabs.f64 (*.f64 eps eps))
(exp.f64 (*.f64 (log.f64 (fabs.f64 eps)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 eps)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))
#s(literal -2 binary64)

eval92.0ms (1.1%)

Memory: 2.8MiB live, 191.2MiB allocated; 26ms collecting garbage
Compiler: Compiled 22 416 to 3 358 computations (85% saved)

prune51.0ms (0.6%)

Memory

-36.8MiB live, 55.2MiB allocated; 8ms collecting garbage

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	603	11	614
Fresh	11	10	21
Picked	4	1	5
Done	0	1	1
Total	618	23	641

Accuracy

100.0%

Counts

641 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.4%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	99.7%	(.f64 (.f64 (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) #s(approx (sin ( (- (+ eps x) x) 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))))))) #s(literal -2 binary64))
	99.4%	(.f64 (.f64 (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) #s(approx (sin ( (- (+ eps x) x) 1/2)) (.f64 eps #s(approx (+ 1/2 ( -1/48 (pow eps 2))) #s(literal 1/2 binary64))))) #s(literal -2 binary64))
	99.5%	(.f64 (.f64 (sin.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps x) x)) x) #s(literal 1/2 binary64))) #s(approx (sin (* (- (+ eps x) x) 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal -2 binary64))
	99.6%	(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(approx (sin ( (- (+ eps x) x) 1/2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal -2 binary64))
	99.5%	(.f64 (.f64 #s(approx (sin (* (+ (+ eps x) x) 1/2)) (+.f64 (sin.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x))))) #s(approx (sin (* (- (+ eps x) x) 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal -2 binary64))
	99.7%	(.f64 #s(approx ( (sin (* (+ (+ eps x) x) 1/2)) (sin (* (- (+ eps x) x) 1/2))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))))) #s(literal -2 binary64))
	99.4%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 #s(approx (+ ( (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) (*.f64 eps eps))))
	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (fma.f64 (*.f64 eps x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps))
	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
	80.9%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (sin.f64 x) (neg.f64 eps)))
	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (sin.f64 x))))
	98.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin 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)))))))))
	98.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64))) #s(approx (sin x) x))))
	46.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64)))) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))))))))
	98.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) x) (.f64 #s(literal -1/2 binary64) eps))) (*.f64 #s(literal -1/2 binary64) eps)))))
	52.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))))
	94.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps) (.f64 #s(literal 1/6 binary64) x)))))))
	98.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1))) (.f64 x (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))))))
✓	80.4%	#s(approx (- (cos (+ x eps)) (cos x)) (neg.f64 #s(approx (* eps (sin x)) (*.f64 eps x))))
	80.7%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* -1 (* eps (sin x))) (fma.f64 (.f64 (.f64 (.f64 eps x) x) #s(literal 1/6 binary64)) x (.f64 (neg.f64 eps) x))))
	80.7%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* -1 (* eps (sin x))) (fma.f64 (neg.f64 eps) x (.f64 (.f64 (.f64 (.f64 eps x) x) #s(literal 1/6 binary64)) x))))
	80.7%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* -1 (* eps (sin x))) (.f64 (-.f64 (.f64 (.f64 (.f64 eps x) x) #s(literal 1/6 binary64)) eps) x)))

Compiler

Compiled 741 to 511 computations (31% saved)

regimes355.0ms (4.2%)

Memory

-14.9MiB live, 587.7MiB allocated; 176ms collecting garbage

Accuracy

Total -18.1b remaining (-108.3%)

Threshold costs -18.1b (-108.3%)

Counts

3 → 1

15 → 1

22 → 1

24 → 1

25 → 1

30 → 1

32 → 1

41 → 1

51 → 1

56 → 1

Calls

Call 1

Inputs

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

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

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

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

Call 2

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

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

Call 3

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

Outputs

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

Call 4

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

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

Call 5

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

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

Call 6

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

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

Call 7

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (neg.f64 #s(approx (* eps (sin x)) (*.f64 eps x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(literal -1 binary64) #s(approx ( eps (sin x)) (*.f64 eps x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64))) #s(approx (sin x) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x #s(approx (- ( 1/6 (pow eps 2)) 1) #s(literal -1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* -1 (* eps (sin x))) (.f64 (-.f64 (.f64 (.f64 (.f64 eps x) x) #s(literal 1/6 binary64)) eps) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* -1 (* eps (sin x))) (fma.f64 (neg.f64 eps) x (.f64 (.f64 (.f64 (.f64 eps x) x) #s(literal 1/6 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* -1 (* eps (sin x))) (fma.f64 (.f64 (.f64 (.f64 eps x) x) #s(literal 1/6 binary64)) x (.f64 (neg.f64 eps) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1))) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) x) (.f64 #s(literal -1/2 binary64) eps))) (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* -1 (* eps (sin x))) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(literal -1 binary64) (.f64 eps #s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64)))) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin 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 (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1))) (.f64 x (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps) (.f64 #s(literal 1/6 binary64) x)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 eps (.f64 #s(approx (+ ( (cos x) -1/2) (* (* (sin x) eps) 1/6)) #s(literal -1/2 binary64)) eps) (*.f64 (neg.f64 eps) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 #s(approx (+ ( (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) (*.f64 eps eps))))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (fma.f64 (*.f64 eps x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps x)) #s(literal 1/2 binary64)))) (sin.f64 x))))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) #s(approx (sin ( (- (+ eps x) x) 1/2)) (.f64 eps #s(approx (+ 1/2 ( -1/48 (pow eps 2))) #s(literal 1/2 binary64))))) #s(literal -2 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) eps (.f64 #s(literal 1/4 binary64) x))) #s(literal 1/2 binary64)))) (sin.f64 x))))

Outputs

(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) #s(approx (sin (* (- (+ eps x) x) 1/2)) (*.f64 eps #s(approx (+ 1/2 (* -1/48 (pow eps 2))) #s(literal 1/2 binary64))))) #s(literal -2 binary64))

Call 8

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (neg.f64 #s(approx (* eps (sin x)) (*.f64 eps x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(literal -1 binary64) #s(approx ( eps (sin x)) (*.f64 eps x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64))) #s(approx (sin x) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x #s(approx (- ( 1/6 (pow eps 2)) 1) #s(literal -1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* -1 (* eps (sin x))) (.f64 (-.f64 (.f64 (.f64 (.f64 eps x) x) #s(literal 1/6 binary64)) eps) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* -1 (* eps (sin x))) (fma.f64 (neg.f64 eps) x (.f64 (.f64 (.f64 (.f64 eps x) x) #s(literal 1/6 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* -1 (* eps (sin x))) (fma.f64 (.f64 (.f64 (.f64 eps x) x) #s(literal 1/6 binary64)) x (.f64 (neg.f64 eps) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1))) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) x) (.f64 #s(literal -1/2 binary64) eps))) (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* -1 (* eps (sin x))) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(literal -1 binary64) (.f64 eps #s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64)))) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin 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 (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1))) (.f64 x (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps) (.f64 #s(literal 1/6 binary64) x)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 eps (.f64 #s(approx (+ ( (cos x) -1/2) (* (* (sin x) eps) 1/6)) #s(literal -1/2 binary64)) eps) (*.f64 (neg.f64 eps) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 #s(approx (+ ( (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) (*.f64 eps eps))))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (fma.f64 (*.f64 eps x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps x)) #s(literal 1/2 binary64)))) (sin.f64 x))))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) #s(approx (sin ( (- (+ eps x) x) 1/2)) (.f64 eps #s(approx (+ 1/2 ( -1/48 (pow eps 2))) #s(literal 1/2 binary64))))) #s(literal -2 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) eps (.f64 #s(literal 1/4 binary64) x))) #s(literal 1/2 binary64)))) (sin.f64 x))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(approx (sin ( (- (+ eps x) x) 1/2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal -2 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal 1/6 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps))))))))
(-.f64 (cos.f64 (+.f64 x 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 eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) eps (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/36 binary64) (.f64 eps x)))))) #s(literal 1/2 binary64)))) (sin.f64 x))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) #s(approx (sin ( (- (+ eps x) x) 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal -2 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (sin.f64 x))))
(.f64 (.f64 (sin.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps x) x)) x) #s(literal 1/2 binary64))) #s(approx (sin (* (- (+ eps x) x) 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal -2 binary64))

Outputs

(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(approx (sin (* (- (+ eps x) x) 1/2)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal -2 binary64))

Call 9

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (neg.f64 #s(approx (* eps (sin x)) (*.f64 eps x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(literal -1 binary64) #s(approx ( eps (sin x)) (*.f64 eps x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64))) #s(approx (sin x) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x #s(approx (- ( 1/6 (pow eps 2)) 1) #s(literal -1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* -1 (* eps (sin x))) (.f64 (-.f64 (.f64 (.f64 (.f64 eps x) x) #s(literal 1/6 binary64)) eps) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* -1 (* eps (sin x))) (fma.f64 (neg.f64 eps) x (.f64 (.f64 (.f64 (.f64 eps x) x) #s(literal 1/6 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* -1 (* eps (sin x))) (fma.f64 (.f64 (.f64 (.f64 eps x) x) #s(literal 1/6 binary64)) x (.f64 (neg.f64 eps) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1))) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) x) (.f64 #s(literal -1/2 binary64) eps))) (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* -1 (* eps (sin x))) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(literal -1 binary64) (.f64 eps #s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64)))) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin 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 (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1))) (.f64 x (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps) (.f64 #s(literal 1/6 binary64) x)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 eps (.f64 #s(approx (+ ( (cos x) -1/2) (* (* (sin x) eps) 1/6)) #s(literal -1/2 binary64)) eps) (*.f64 (neg.f64 eps) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 #s(approx (+ ( (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) (*.f64 eps eps))))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (fma.f64 (*.f64 eps x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps x)) #s(literal 1/2 binary64)))) (sin.f64 x))))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) #s(approx (sin ( (- (+ eps x) x) 1/2)) (.f64 eps #s(approx (+ 1/2 ( -1/48 (pow eps 2))) #s(literal 1/2 binary64))))) #s(literal -2 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) eps (.f64 #s(literal 1/4 binary64) x))) #s(literal 1/2 binary64)))) (sin.f64 x))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(approx (sin ( (- (+ eps x) x) 1/2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal -2 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal 1/6 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps))))))))
(-.f64 (cos.f64 (+.f64 x 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 eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) eps (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/36 binary64) (.f64 eps x)))))) #s(literal 1/2 binary64)))) (sin.f64 x))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) #s(approx (sin ( (- (+ eps x) x) 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal -2 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (sin.f64 x))))
(.f64 (.f64 (sin.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps x) x)) x) #s(literal 1/2 binary64))) #s(approx (sin (* (- (+ eps x) x) 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal -2 binary64))
(.f64 #s(approx ( (sin (* (+ (+ eps x) x) 1/2)) (sin (* (- (+ eps x) x) 1/2))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))))) #s(literal -2 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) #s(approx ( eps (sin x)) (*.f64 eps x))))) (sin.f64 x))))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 eps #s(literal 0 binary64)))))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) #s(approx (sin ( (- (+ eps x) x) 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))))))) #s(literal -2 binary64))
(.f64 (.f64 #s(approx (sin (* (+ (+ eps x) x) 1/2)) (+.f64 (sin.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x))))) #s(approx (sin (* (- (+ eps x) x) 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal -2 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(approx (* 1/6 (* eps (sin x))) (.f64 x (fma.f64 #s(literal -1/36 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) eps)))))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x))))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 eps eps)) (*.f64 (sin.f64 x) eps)))

Outputs

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

Call 10

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (neg.f64 #s(approx (* eps (sin x)) (*.f64 eps x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(literal -1 binary64) #s(approx ( eps (sin x)) (*.f64 eps x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64))) #s(approx (sin x) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x #s(approx (- ( 1/6 (pow eps 2)) 1) #s(literal -1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* -1 (* eps (sin x))) (.f64 (-.f64 (.f64 (.f64 (.f64 eps x) x) #s(literal 1/6 binary64)) eps) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* -1 (* eps (sin x))) (fma.f64 (neg.f64 eps) x (.f64 (.f64 (.f64 (.f64 eps x) x) #s(literal 1/6 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* -1 (* eps (sin x))) (fma.f64 (.f64 (.f64 (.f64 eps x) x) #s(literal 1/6 binary64)) x (.f64 (neg.f64 eps) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1))) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) x) (.f64 #s(literal -1/2 binary64) eps))) (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* -1 (* eps (sin x))) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(literal -1 binary64) (.f64 eps #s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64)))) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin 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 (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1))) (.f64 x (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps) (.f64 #s(literal 1/6 binary64) x)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 eps (.f64 #s(approx (+ ( (cos x) -1/2) (* (* (sin x) eps) 1/6)) #s(literal -1/2 binary64)) eps) (*.f64 (neg.f64 eps) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 #s(approx (+ ( (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) (*.f64 eps eps))))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (fma.f64 (*.f64 eps x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps x)) #s(literal 1/2 binary64)))) (sin.f64 x))))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) #s(approx (sin ( (- (+ eps x) x) 1/2)) (.f64 eps #s(approx (+ 1/2 ( -1/48 (pow eps 2))) #s(literal 1/2 binary64))))) #s(literal -2 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) eps (.f64 #s(literal 1/4 binary64) x))) #s(literal 1/2 binary64)))) (sin.f64 x))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(approx (sin ( (- (+ eps x) x) 1/2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal -2 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal 1/6 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps))))))))
(-.f64 (cos.f64 (+.f64 x 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 eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) eps (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/36 binary64) (.f64 eps x)))))) #s(literal 1/2 binary64)))) (sin.f64 x))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) #s(approx (sin ( (- (+ eps x) x) 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal -2 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (sin.f64 x))))
(.f64 (.f64 (sin.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps x) x)) x) #s(literal 1/2 binary64))) #s(approx (sin (* (- (+ eps x) x) 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal -2 binary64))
(.f64 #s(approx ( (sin (* (+ (+ eps x) x) 1/2)) (sin (* (- (+ eps x) x) 1/2))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))))) #s(literal -2 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) #s(approx ( eps (sin x)) (*.f64 eps x))))) (sin.f64 x))))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 eps #s(literal 0 binary64)))))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) #s(approx (sin ( (- (+ eps x) x) 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64))))))) #s(literal -2 binary64))
(.f64 (.f64 #s(approx (sin (* (+ (+ eps x) x) 1/2)) (+.f64 (sin.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x))))) #s(approx (sin (* (- (+ eps x) x) 1/2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal -2 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(approx (* 1/6 (* eps (sin x))) (.f64 x (fma.f64 #s(literal -1/36 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) eps)))))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x))))) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 eps eps)) (*.f64 (sin.f64 x) eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 eps eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 eps (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))) eps) (.f64 (neg.f64 eps) (sin.f64 x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) eps) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (.f64 #s(literal -1/6 binary64) (sin.f64 x)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))))))

Outputs

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

Calls

30 calls:

67.0ms	x
22.0ms	eps
20.0ms	eps
18.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
18.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
80.4%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
80.4%	1	`x`
80.4%	1	`eps`
98.4%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
98.4%	1	`x`
98.4%	1	`eps`
98.8%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
98.8%	1	`x`
98.8%	1	`eps`
99.2%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.2%	1	`x`
99.2%	1	`eps`
99.2%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.2%	1	`x`
99.2%	1	`eps`
99.4%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.4%	1	`x`
99.4%	1	`eps`
99.4%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.4%	1	`x`
99.4%	1	`eps`
99.6%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.6%	1	`x`
99.6%	1	`eps`
99.7%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.7%	1	`x`
99.7%	1	`eps`
99.8%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.8%	1	`x`
99.8%	1	`eps`

Compiler

Compiled 1 819 to 489 computations (73.1% saved)

derivations95.0ms (1.1%)

Memory

26.1MiB live, 72.4MiB allocated; 3ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 291 to 107 computations (63.2% saved)

preprocess76.0ms (0.9%)

Memory: -27.5MiB live, 159.4MiB allocated; 16ms collecting garbage
Compiler: Compiled 328 to 138 computations (57.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze36.0ms (0.4%)

sample6.7s (79.9%)

preprocess58.0ms (0.7%)

series12.0ms (0.1%)

rewrite102.0ms (1.2%)

eval34.0ms (0.4%)

prune9.0ms (0.1%)

series31.0ms (0.4%)

rewrite107.0ms (1.3%)

eval60.0ms (0.7%)

prune30.0ms (0.4%)

series63.0ms (0.8%)

rewrite136.0ms (1.6%)

eval90.0ms (1.1%)

prune34.0ms (0.4%)

series75.0ms (0.9%)

rewrite139.0ms (1.7%)

eval92.0ms (1.1%)

prune51.0ms (0.6%)

regimes355.0ms (4.2%)

derivations95.0ms (1.1%)

preprocess76.0ms (0.9%)

end0.0ms (0%)

Profiling