Metrics for 2cos (problem 3.3.5)

start0.0ms (0%)

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

analyze35.0ms (0.4%)

Memory

-4.8MiB live, 41.1MiB allocated; 8ms 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 (78.1%)

Memory

70.3MiB live, 6 480.9MiB allocated; 2.3s collecting garbage

Samples

3.0s	5 905×	2	valid
2.2s	26 266×	0	invalid
329.0ms	2 311×	1	valid
4.0ms	40×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 4.3s

ival-cos: 2.9s (67.2% of total)

adjust: 386.0ms (9.1% of total)

ival-fabs: 300.0ms (7% of total)

ival-add!: 174.0ms (4.1% of total)

ival-<: 168.0ms (3.9% of total)

ival-mult!: 167.0ms (3.9% of total)

ival-sub!: 124.0ms (2.9% of total)

ival-and: 63.0ms (1.5% of total)

ival-assert: 15.0ms (0.4% of total)

Bogosity

preprocess30.0ms (0.3%)

Memory

24.0MiB live, 24.0MiB allocated; 0ms 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
▶	47.8%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 14 to 12 computations (14.3% saved)

series10.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB 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	eps	inf
1.0ms	x	0
1.0ms	eps	-inf
1.0ms	x	-inf
1.0ms	eps	0

rewrite132.0ms (1.5%)

Memory

-16.8MiB live, 166.2MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	79	18
2	1158	18
0	8397	18

Stop Event

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

Counts

6 → 215

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

eval30.0ms (0.4%)

Memory: 1.3MiB live, 46.5MiB allocated; 4ms collecting garbage
Compiler: Compiled 5 336 to 1 225 computations (77% saved)

prune8.0ms (0.1%)

Memory

16.1MiB live, 16.1MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	237	7	244
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	237	8	245

Accuracy

99.8%

Counts

245 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	47.8%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
▶	47.0%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
	79.6%	(.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))
	48.1%	(.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)))))
▶	47.0%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
▶	99.8%	#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))))
▶	99.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
▶	77.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x))))

Compiler

Compiled 281 to 190 computations (32.4% saved)

series38.0ms (0.4%)

Memory

1.4MiB live, 58.0MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	468	2349

Stop Event

1×	iter-limit

Counts

29 → 109

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)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
(.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))) (sin.f64 x))
(.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x)))
(*.f64 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 (* 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 (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (.f64 eps x) (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (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 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (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 x (fma.f64 #s(literal 1/6 binary64) (.f64 eps x) (.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
#s(approx (* -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) eps)))))
#s(approx (* -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) eps (.f64 #s(literal 1/1440 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (* eps (cos x)) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* eps (cos x)) (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/24 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* eps (cos x)) (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) eps)))))))
#s(approx (- (cos (+ x 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 (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))) (sin.f64 x)))
#s(approx (* -1/2 (* eps (cos x))) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))))
#s(approx (* eps (cos x)) (*.f64 eps (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 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 (+ (* -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 (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
#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)))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)))))

Calls

6 calls:

Time	Variable	Point
8.0ms	eps	inf
3.0ms	x	inf
3.0ms	eps	0
3.0ms	eps	-inf
3.0ms	x	-inf

rewrite166.0ms (1.9%)

Memory

9.7MiB live, 191.1MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	206
0	53	204
1	242	204
2	2772	204
0	8029	204

Stop Event

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

Counts

29 → 359

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

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 eps (-.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 #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 (.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 (-.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)))
(/.f64 (.f64 eps (-.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 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x 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))) (sin.f64 x)))
(/.f64 (.f64 eps (-.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 (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))) (sin.f64 x)) (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 2 binary64))))
(/.f64 (.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 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) eps) (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))) (sin.f64 x)))
(/.f64 (.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))) eps) (fma.f64 (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))) (sin.f64 x)) (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 2 binary64))))
(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 (-.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))) (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 #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))) eps) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))))
(.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 (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 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))) (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))) (/.f64 #s(literal 1 binary64) (fma.f64 (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))) (sin.f64 x)) (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 2 binary64)))))
(.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 #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 (+.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))) (+.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 2 binary64)) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x 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 (neg.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 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (neg.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))) (sin.f64 x))))
(/.f64 (neg.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)))) (neg.f64 (fma.f64 (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))) (sin.f64 x)) (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 2 binary64)))))
(/.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 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x 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))) (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 (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))) (sin.f64 x)) (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 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))) (sin.f64 x)) (-.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 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (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))) (sin.f64 x)) (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 2 binary64))) (-.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)))))
(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 (fma.f64 (/.f64 (.f64 #s(literal 1/6 binary64) eps) #s(literal -1/2 binary64)) (tan.f64 x) #s(literal 1 binary64))) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (neg.f64 (sin.f64 x)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) eps) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)))) (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (neg.f64 (sin.f64 x)))
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(.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps (sin.f64 x))))
(.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (sin.f64 x) (fma.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps (sin.f64 x))))))
(.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (neg.f64 (sin.f64 x))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (neg.f64 (fma.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps (sin.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (sin.f64 x) (fma.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps (sin.f64 x))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (sin.f64 x) (fma.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps (sin.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps (sin.f64 x)) (-.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (sin.f64 x) (fma.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps (sin.f64 x)))) (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))))
(neg.f64 (-.f64 (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x)))
(fma.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps (neg.f64 (sin.f64 x)))
(fma.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (neg.f64 (sin.f64 x)))
(fma.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) eps) (neg.f64 (sin.f64 x)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps) (neg.f64 (sin.f64 x)))
(fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (neg.f64 (sin.f64 x)))
(-.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps (sin.f64 x))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (fma.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps (sin.f64 x))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (sin.f64 x) (fma.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps (sin.f64 x))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (sin.f64 x) (fma.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps (sin.f64 x))))))
(-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (neg.f64 (neg.f64 (sin.f64 x))))
(-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x))
(+.f64 (neg.f64 (sin.f64 x)) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)))
(+.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (neg.f64 (sin.f64 x)))
(.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x))
(.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)
(.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64))
(.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) eps))
(.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 x) eps))
(.f64 eps (.f64 (cos.f64 x) #s(literal -1/2 binary64)))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))

eval62.0ms (0.7%)

Memory: 10.5MiB live, 99.4MiB allocated; 20ms collecting garbage
Compiler: Compiled 14 673 to 2 281 computations (84.5% saved)

prune36.0ms (0.4%)

Memory

-2.5MiB live, 43.2MiB allocated; 7ms collecting garbage

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	468	21	489
Fresh	1	1	2
Picked	4	1	5
Done	0	1	1
Total	473	24	497

Accuracy

100.0%

Counts

497 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	47.8%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
▶	79.6%	(.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))
	99.7%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps (*.f64 (neg.f64 eps) (sin.f64 x))))
	34.5%	#s(approx (- (cos (+ x eps)) (cos x)) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) eps) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (sin.f64 x) (fma.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps (sin.f64 x))))))
	47.0%	#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)))
▶	99.8%	#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))
	77.6%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (sin.f64 x) (neg.f64 eps)))
	99.7%	#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))))
	99.7%	#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))))
	99.3%	#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))))
▶	99.3%	#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))))
✓	99.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
	56.7%	#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 (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))))))))
	48.2%	#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))))
▶	98.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))))
	98.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))))
	98.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))))
	99.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))))))
	76.9%	#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)))))))))
▶	76.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(literal -1 binary64) #s(approx ( eps (sin x)) (*.f64 eps x))))
	39.7%	#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)))))))
	98.2%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (.f64 eps x) (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
	98.4%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x))))))
	76.9%	#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 1 360 to 940 computations (30.9% saved)

series72.0ms (0.8%)

Memory

0.3MiB live, 104.1MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	742	4223

Stop Event

1×	iter-limit

Counts

45 → 174

Calls

Call 1

Inputs
#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 (.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 (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)
eps
#s(literal 1/6 binary64)
#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 (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))))
(.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64))))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
(fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64))))
(.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))
(-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64))
(.f64 x (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)))
(fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))
(*.f64 #s(literal 1/4 binary64) eps)
#s(literal 1/4 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))) (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))) (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)
#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)
#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 (* (- (* (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (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) -1/2) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (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 (* (- (* (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (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 (- (* (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (- (* (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps) (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) -1/2) (* (* (sin x) eps) 1/6)) eps) (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 (- (* (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps) (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 (* (+ (* (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 (* -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 (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (.f64 eps x) (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (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 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (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 x (fma.f64 #s(literal 1/6 binary64) (.f64 eps x) (.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))))
#s(approx (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)) (*.f64 #s(literal -1 binary64) x))
#s(approx (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)) (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64))))
#s(approx (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)) (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64))))
#s(approx (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1) #s(literal -1 binary64))
#s(approx (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps x)) #s(literal 1 binary64)))
#s(approx (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1) (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64)))
#s(approx (* x (+ (* 1/6 x) (* 1/4 eps))) (.f64 #s(literal 1/4 binary64) (.f64 eps x)))
#s(approx (* x (+ (* 1/6 x) (* 1/4 eps))) (.f64 x (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps))))
#s(approx (+ (* 1/6 x) (* 1/4 eps)) (*.f64 #s(literal 1/4 binary64) eps))
#s(approx (+ (* 1/6 x) (* 1/4 eps)) (fma.f64 #s(literal 1/6 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 (* (- (* (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (.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) -1/2) (* (* (sin x) eps) 1/6)) eps) (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 (* (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps) (.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 (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) (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 (* (* (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))
#s(approx (* -1 (* eps (sin x))) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x))))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))) (sin.f64 x)))
#s(approx (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1))) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 eps x)))))
#s(approx (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1))) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 eps x))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1))) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 eps x)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 eps x)))))
#s(approx (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 eps x))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ (* 1/6 x) (* 1/4 eps)) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (+ (* 1/6 x) (* 1/4 eps)) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 eps 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 (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 eps x)) #s(literal 1/6 binary64)))))
#s(approx (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/6 binary64)))))
#s(approx (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x))) x) (*.f64 #s(literal 1/4 binary64) eps)) x)) #s(literal 1/6 binary64)))))
#s(approx (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) eps (/.f64 #s(literal 1 binary64) x)) x)))))
#s(approx (+ (* 1/6 x) (* 1/4 eps)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 eps x)) #s(literal 1/6 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 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) -1/2) (* (* (sin x) eps) 1/6)) eps) (sin x)) 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 (* (- (* (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps) (sin x)) 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 (- (* (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))
#s(approx (* (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))))
#s(approx (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1))) (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1))) (fma.f64 eps (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)) (fma.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1) (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(approx (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1) (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 eps x))) #s(literal 1 binary64)))
#s(approx (* x (+ (* 1/6 x) (* 1/4 eps))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 eps 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 (* (- (* (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (sin.f64 x))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps) (sin x)) 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 (* (- (* (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps) (sin x)) 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 (- (* (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps) (sin x)) (.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) (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 (- (* (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps) (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 (+ (* (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 (* eps (cos x))) (sin x))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
#s(approx (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1))) (.f64 eps (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1))) (.f64 eps (-.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)) (/.f64 (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) eps)) #s(literal 1/2 binary64))))
#s(approx (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)) (.f64 #s(literal 1/4 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)) (.f64 eps (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)) (/.f64 (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) eps))))
#s(approx (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1) (.f64 eps (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) (.f64 #s(literal 1/4 binary64) x)) (/.f64 #s(literal 1 binary64) eps))))
#s(approx (* x (+ (* 1/6 x) (* 1/4 eps))) (.f64 eps (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) (.f64 #s(literal 1/4 binary64) x))))
#s(approx (+ (* 1/6 x) (* 1/4 eps)) (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 x 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 (* (- (* (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps) (sin x)) 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 (* (- (* (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 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)) eps) (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) -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 (- (* -1/2 (* eps (cos x))) (sin x)) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)))))
#s(approx (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1))) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1))) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) eps) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) eps) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) eps) (.f64 #s(literal -1/4 binary64) x)))))
#s(approx (* x (+ (* 1/6 x) (* 1/4 eps))) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1/4 binary64) x (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))))
#s(approx (+ (* 1/6 x) (* 1/4 eps)) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 x eps)) #s(literal 1/4 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 (.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
20.0ms	x	-inf
9.0ms	eps	-inf
5.0ms	eps	0
5.0ms	eps	inf
4.0ms	x	inf

rewrite243.0ms (2.8%)

Memory

-5.9MiB live, 263.5MiB allocated; 57ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	455
0	90	448
1	408	428
2	4202	428
0	8437	415

Stop Event

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

Counts

45 → 690

Calls

Call 1

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

eval147.0ms (1.7%)

Memory: 35.2MiB live, 270.0MiB allocated; 62ms collecting garbage
Compiler: Compiled 30 698 to 5 251 computations (82.9% saved)

prune33.0ms (0.4%)

Memory

-11.5MiB live, 79.7MiB allocated; 11ms collecting garbage

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	823	18	841
Fresh	14	3	17
Picked	5	0	5
Done	1	1	2
Total	843	22	865

Accuracy

100.0%

Counts

865 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	47.8%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	79.6%	(.f64 (.f64 (sin.f64 (.f64 (fma.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 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 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal -2 binary64))
	98.4%	(.f64 #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(literal -2 binary64))
	99.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #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))) eps) (sin.f64 x)) eps))
▶	99.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
▶	97.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (.f64 #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps))) (.f64 (.f64 #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps) eps)))
	77.6%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (sin.f64 x) (neg.f64 eps)))
	48.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
	98.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x #s(literal -1 binary64)) x))) eps))
	40.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x))) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x) x) (.f64 #s(literal -1/2 binary64) eps)))))
	55.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x)))) (.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x) (.f64 #s(literal -1/2 binary64) eps)))))
	98.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) (fma.f64 (*.f64 x #s(literal 1/4 binary64)) eps #s(literal -1 binary64))))))))
	98.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 x #s(approx (+ (* 1/6 x) (* 1/4 eps)) (*.f64 #s(literal 1/6 binary64) x))) #s(literal 1 binary64)))))))
	55.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x #s(approx (- ( x (+ (* 1/6 x) (* 1/4 eps))) 1) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) eps (/.f64 #s(literal 1 binary64) x)) x))))))))))
	98.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x #s(approx (- ( x (+ (* 1/6 x) (* 1/4 eps))) 1) #s(literal -1 binary64)))))))
	98.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x #s(literal -1 binary64)) (/.f64 x (.f64 #s(literal -1/2 binary64) eps)) #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) eps)))))
	98.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x #s(literal -1 binary64)) x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x #s(literal -1 binary64)) x)))))
	76.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1))) (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))))
▶	76.5%	#s(approx (- (cos (+ x eps)) (cos x)) (neg.f64 #s(approx (* eps (sin x)) (*.f64 eps x))))
▶	98.2%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (.f64 eps x) (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
	98.4%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x))))))

Compiler

Compiled 1 523 to 996 computations (34.6% saved)

series92.0ms (1.1%)

Memory

-44.4MiB live, 135.0MiB allocated; 99ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	882	5125

Stop Event

1×	iter-limit

Counts

41 → 170

Calls

Call 1

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

Outputs
#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 x x)
#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)))
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#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 (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 (* 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 (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (.f64 eps x) (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (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 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (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 x (fma.f64 #s(literal 1/6 binary64) (.f64 eps x) (.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (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) -1/2) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (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 (* (- (* (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (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 (- (* (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (- (* (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps) (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) -1/2) (* (* (sin x) eps) 1/6)) eps) (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 (- (* (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps) (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 (* (+ (* (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 (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (* (- 1 (/ (sin x) (* (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) eps))) (* (* (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) eps) eps)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) eps) (/.f64 #s(literal 1 binary64) eps))))))
#s(approx (* (- 1 (/ (sin x) (* (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) eps))) (* (* (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) eps) eps)) (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 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) eps) (/.f64 #s(literal 1 binary64) eps)))))))
#s(approx (* (- 1 (/ (sin x) (* (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) eps))) (* (* (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) eps) eps)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 x (fma.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 2/9 binary64) eps (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) eps))) (fma.f64 #s(literal -1/36 binary64) eps (fma.f64 #s(literal 1/9 binary64) eps (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps)))))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) eps) (/.f64 #s(literal 1 binary64) eps)))))))
#s(approx (- 1 (/ (sin x) (* (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) eps))) #s(literal 1 binary64))
#s(approx (- 1 (/ (sin x) (* (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) eps))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
#s(approx (- 1 (/ (sin x) (* (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) eps))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal 2/3 binary64) x (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps))))))
#s(approx (- 1 (/ (sin x) (* (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) eps))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (fma.f64 #s(literal 2/9 binary64) eps (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) eps))))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps))))))
#s(approx (/ (sin x) (* (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) eps)) (*.f64 #s(literal -2 binary64) (/.f64 x eps)))
#s(approx (/ (sin x) (* (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) eps)) (.f64 x (-.f64 (.f64 #s(literal -2/3 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)))))
#s(approx (/ (sin x) (* (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) eps)) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal 2/9 binary64) eps (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 2/3 binary64))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)))))
#s(approx (/ (sin x) (* (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) eps)) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 2/9 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps (fma.f64 #s(literal 2/9 binary64) eps (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) eps)))))))) (fma.f64 #s(literal 2/9 binary64) eps (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 2/3 binary64))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)))))
#s(approx (* (* (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin 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 (* (* (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin 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 (* (* (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin 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 (* (+ (+ 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 x)) (cos.f64 x)))
#s(approx (neg (* eps (sin x))) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x))))
#s(approx (* eps (sin x)) (*.f64 eps (sin.f64 x)))
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))
#s(approx (+ (* -1 (* eps x)) (* -1/2 (pow eps 2))) (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (.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) -1/2) (* (* (sin x) eps) 1/6)) eps) (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 (* (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps) (.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 (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) (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 (* (- 1 (/ (sin x) (* (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) eps))) (* (* (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) eps) eps)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x)))) (-.f64 #s(literal 1 binary64) (/.f64 (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 (- 1 (/ (sin x) (* (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) eps))) (-.f64 #s(literal 1 binary64) (/.f64 (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) (* (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) eps)) (/.f64 (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 (* (* (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin 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 (* (+ (+ 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 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 x)))
#s(approx (+ (* -1 (* eps x)) (* -1/2 (pow eps 2))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 eps (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) 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 #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 (pow eps 2) (pow.f64 eps #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 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 (+ (* -1 (* eps x)) (* -1/2 (pow eps 2))) (.f64 eps (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1/2 binary64) eps))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps) (sin x)) 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 (- (* (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))
#s(approx (- (* (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps) (sin x)) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))) (sin.f64 x)))
#s(approx (* (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))))
#s(approx (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (* (- 1 (/ (sin x) (* (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) eps))) (* (* (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) eps) eps)) (.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))))))
#s(approx (* (- 1 (/ (sin x) (* (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) eps))) (* (* (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) eps) eps)) (.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (.f64 eps (fma.f64 #s(literal -1/9 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))))))))
#s(approx (* (- 1 (/ (sin x) (* (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) eps))) (* (* (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) eps) eps)) (.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (.f64 eps (fma.f64 #s(literal -1/9 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (.f64 eps (fma.f64 #s(literal -1/27 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal 1/27 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))))))))))))
#s(approx (- 1 (/ (sin x) (* (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) eps))) (.f64 #s(literal 2 binary64) (/.f64 (sin.f64 x) (.f64 eps (cos.f64 x)))))
#s(approx (- 1 (/ (sin x) (* (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) eps))) (/.f64 (-.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal -2 binary64) (/.f64 (sin.f64 x) (cos.f64 x)))) eps))
#s(approx (- 1 (/ (sin x) (* (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) eps))) (/.f64 (-.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2/9 binary64) (/.f64 (.f64 eps (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (.f64 #s(literal -2 binary64) (/.f64 (sin.f64 x) (cos.f64 x)))) eps))
#s(approx (- 1 (/ (sin x) (* (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) eps))) (/.f64 (-.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 eps (fma.f64 #s(literal 2/27 binary64) (/.f64 (.f64 eps (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (.f64 #s(literal 2/9 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))))))) (*.f64 #s(literal -2 binary64) (/.f64 (sin.f64 x) (cos.f64 x)))) eps))
#s(approx (/ (sin x) (* (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) eps)) (.f64 #s(literal -2 binary64) (/.f64 (sin.f64 x) (.f64 eps (cos.f64 x)))))
#s(approx (/ (sin x) (* (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) eps)) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 #s(literal -2/3 binary64) (/.f64 (.f64 eps (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps))
#s(approx (/ (sin x) (* (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) eps)) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 eps (-.f64 (.f64 #s(literal -2/9 binary64) (/.f64 (.f64 eps (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) eps))
#s(approx (/ (sin x) (* (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) eps)) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 #s(literal -2/27 binary64) (/.f64 (.f64 eps (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (.f64 #s(literal 2/9 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))) (.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) eps))
#s(approx (* (* (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) eps) eps) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.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 (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
#s(approx (+ (* -1 (* eps x)) (* -1/2 (pow eps 2))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (sin.f64 x))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps) (sin x)) 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 (* (- (* (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps) (sin x)) 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 (- (* (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps) (sin x)) (.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) (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 (- (* (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps) (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 (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) (.f64 #s(literal 1/6 binary64) (.f64 eps (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 (* (- 1 (/ (sin x) (* (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) eps))) (* (* (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) eps) eps)) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 (cos.f64 x) (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) (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 #s(literal 3 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 3 binary64))))))))))
#s(approx (- 1 (/ (sin x) (* (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) eps))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (- 1 (/ (sin x) (* (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) eps))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -18 binary64) (/.f64 (cos.f64 x) (.f64 (pow.f64 eps #s(literal 3 binary64)) (sin.f64 x))))) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (- 1 (/ (sin x) (* (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) eps))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -54 binary64) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (.f64 #s(literal -18 binary64) (/.f64 (cos.f64 x) (.f64 (pow.f64 eps #s(literal 3 binary64)) (sin.f64 x)))))) (.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (/ (sin x) (* (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) eps)) (/.f64 #s(literal 6 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (/ (sin x) (* (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) eps)) (/.f64 (+.f64 #s(literal 6 binary64) (.f64 #s(literal 18 binary64) (/.f64 (cos.f64 x) (.f64 eps (sin.f64 x))))) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (/ (sin x) (* (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) eps)) (/.f64 (-.f64 (+.f64 #s(literal 6 binary64) (.f64 #s(literal 54 binary64) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) (.f64 #s(literal -18 binary64) (/.f64 (cos.f64 x) (.f64 eps (sin.f64 x))))) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (/ (sin x) (* (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) eps)) (/.f64 (-.f64 (+.f64 #s(literal 6 binary64) (.f64 #s(literal 162 binary64) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))))) (fma.f64 #s(literal -54 binary64) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (.f64 #s(literal -18 binary64) (/.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))))) (pow.f64 eps #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 (.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))))))))
#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) -1/2) (* (* (sin x) eps) 1/6)) eps) (sin x)) 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 (* (- (* (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 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)) eps) (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) -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 (* (- 1 (/ (sin x) (* (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) eps))) (* (* (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin 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 (+.f64 (sin.f64 x) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -3 binary64) (cos.f64 x) (.f64 #s(literal 3 binary64) (cos.f64 x))) eps))) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (.f64 #s(literal -1/6 binary64) (sin.f64 x))))))
#s(approx (- 1 (/ (sin x) (* (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) eps))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 54 binary64) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 eps (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal -18 binary64) (/.f64 (cos.f64 x) (sin.f64 x)))) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (/ (sin x) (* (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) eps)) (/.f64 (+.f64 #s(literal 6 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -54 binary64) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 eps (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal -18 binary64) (/.f64 (cos.f64 x) (sin.f64 x)))) eps))) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (/ (sin x) (* (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) eps)) (/.f64 (+.f64 #s(literal 6 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -18 binary64) (/.f64 (cos.f64 x) (sin.f64 x)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 54 binary64) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (.f64 #s(literal 162 binary64) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (.f64 eps (pow.f64 (sin.f64 x) #s(literal 3 binary64)))))) eps))) eps))) (pow.f64 eps #s(literal 2 binary64))))

Calls

6 calls:

Time	Variable	Point
39.0ms	eps	-inf
7.0ms	x	inf
5.0ms	eps	inf
5.0ms	x	-inf
5.0ms	eps	0

rewrite147.0ms (1.7%)

Memory

13.9MiB live, 197.7MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	497
0	89	461
1	422	452
0	4177	427

Stop Event

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

Counts

41 → 485

Calls

Call 1

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

Outputs
(.f64 (.f64 #s(literal -2 binary64) (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 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) eps)))
(.f64 (.f64 #s(literal -2 binary64) #s(approx (sin (* (- (+ eps x) x) 1/2)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(.f64 #s(literal -2 binary64) (.f64 #s(approx (sin (* (- (+ eps x) x) 1/2)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(.f64 (.f64 #s(approx (sin (* (- (+ eps x) x) 1/2)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal -2 binary64))
(.f64 #s(approx (sin ( (- (+ eps x) x) 1/2)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) eps)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal -2 binary64)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (.f64 #s(literal -2 binary64) #s(approx (sin ( (- (+ eps x) x) 1/2)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) eps))))
(.f64 #s(approx (sin ( (- (+ eps x) x) 1/2)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(.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 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) eps)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x (+.f64 x eps)) #s(literal 1 binary64))) (+.f64 x eps))
(.f64 (+.f64 (/.f64 x (+.f64 x eps)) #s(literal 1 binary64)) (.f64 (+.f64 x eps) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (/.f64 x (+.f64 x eps)) #s(literal 1 binary64)) (/.f64 (+.f64 x eps) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))
(/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (+.f64 x eps) (+.f64 x eps)) (+.f64 x eps) (.f64 (.f64 x x) x))) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x (-.f64 #s(literal 0 binary64) eps))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal 2 binary64) x eps) (-.f64 eps #s(literal 0 binary64)))) (-.f64 eps #s(literal 0 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (+.f64 x eps) (+.f64 x eps)) (+.f64 x eps) (.f64 (.f64 x x) x)) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x (-.f64 #s(literal 0 binary64) eps))))
(/.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) (-.f64 eps #s(literal 0 binary64))) #s(literal 1/2 binary64)) (-.f64 eps #s(literal 0 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal -2 binary64))
(/.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) (-.f64 eps #s(literal 0 binary64))) (.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (+.f64 x eps) (+.f64 x eps)) (+.f64 x eps) (.f64 (.f64 x x) x)) (.f64 (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x (-.f64 #s(literal 0 binary64) eps))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 x eps) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (+.f64 x eps)))
(fma.f64 #s(literal 1/2 binary64) eps (*.f64 #s(literal 1/2 binary64) (+.f64 x x)))
(fma.f64 #s(literal 1/2 binary64) eps (*.f64 (+.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (+.f64 x eps) #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (+.f64 x eps) #s(literal 1/2 binary64)))
(fma.f64 eps #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 x x)))
(fma.f64 eps #s(literal 1/2 binary64) (*.f64 (+.f64 x x) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (+.f64 x eps) #s(literal 2 binary64)) (/.f64 (neg.f64 x) #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) (+.f64 x eps)))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x eps)) (.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (+.f64 x eps) #s(literal 1/2 binary64)))
(+.f64 (.f64 (+.f64 x eps) #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64)))
(+.f64 (/.f64 (+.f64 x eps) #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))
(+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 x eps) #s(literal 2 binary64)))
(+.f64 (/.f64 eps #s(literal 2 binary64)) (/.f64 (+.f64 x x) #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal 1/2 binary64) (+.f64 x x)))
(+.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 (+.f64 x x) #s(literal 1/2 binary64)))
(.f64 (.f64 (+.f64 (/.f64 x (+.f64 x eps)) #s(literal 1 binary64)) (+.f64 (/.f64 eps x) #s(literal 1 binary64))) x)
(.f64 (.f64 (+.f64 (/.f64 x (+.f64 x eps)) #s(literal 1 binary64)) (+.f64 (/.f64 x eps) #s(literal 1 binary64))) eps)
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) (-.f64 eps #s(literal 0 binary64))) (-.f64 (.f64 (.f64 (+.f64 x eps) (+.f64 x eps)) (+.f64 x eps)) (.f64 (.f64 x x) x))) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x (fma.f64 #s(literal 2 binary64) x eps))))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) (-.f64 eps #s(literal 0 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (-.f64 eps #s(literal 0 binary64)))) (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 (+.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x eps) x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) eps)) eps)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (+.f64 x eps))) (+.f64 x eps))
(*.f64 (+.f64 (/.f64 x (+.f64 x eps)) #s(literal 1 binary64)) (+.f64 x eps))
(.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) (-.f64 eps #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 eps #s(literal 0 binary64))))
(.f64 (fma.f64 (.f64 (+.f64 x eps) (+.f64 x eps)) (+.f64 x eps) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x (-.f64 #s(literal 0 binary64) eps)))))
(*.f64 (+.f64 x eps) (+.f64 (/.f64 x (+.f64 x eps)) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 (/.f64 x (+.f64 x eps)) #s(literal 1 binary64)) (.f64 (+.f64 x eps) (-.f64 x eps))) (-.f64 x eps))
(/.f64 (.f64 (+.f64 (/.f64 x (+.f64 x eps)) #s(literal 1 binary64)) (.f64 (+.f64 x eps) (-.f64 eps x))) (-.f64 eps x))
(/.f64 (.f64 (+.f64 (/.f64 x (+.f64 x eps)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) x (.f64 (.f64 eps eps) eps))) (fma.f64 x x (*.f64 eps (-.f64 eps x))))
(/.f64 (.f64 (+.f64 (/.f64 x (+.f64 x eps)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) x (.f64 (.f64 eps eps) eps))) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))
(/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (-.f64 eps #s(literal 0 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x eps)))) (+.f64 x eps))
(/.f64 (fma.f64 x (-.f64 x eps) (*.f64 (+.f64 x eps) (-.f64 x eps))) (-.f64 x eps))
(/.f64 (fma.f64 x (-.f64 eps x) (*.f64 (+.f64 x eps) (-.f64 eps x))) (-.f64 eps x))
(/.f64 (fma.f64 x (fma.f64 x x (.f64 eps (-.f64 eps x))) (fma.f64 (.f64 x x) x (.f64 (.f64 eps eps) eps))) (fma.f64 x x (*.f64 eps (-.f64 eps x))))
(/.f64 (fma.f64 x (fma.f64 x (-.f64 x eps) (.f64 eps eps)) (fma.f64 (.f64 x x) x (.f64 (.f64 eps eps) eps))) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))
(/.f64 (-.f64 (.f64 eps eps) (.f64 (+.f64 x x) (+.f64 x x))) (-.f64 eps (+.f64 x x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (+.f64 x eps) (+.f64 x eps))) (-.f64 #s(literal 0 binary64) eps))
(/.f64 (fma.f64 (.f64 eps eps) eps (pow.f64 (+.f64 x x) #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (.f64 (+.f64 x x) (+.f64 x x)) (*.f64 eps (+.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 x eps) (+.f64 x eps)) (+.f64 x eps)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 x eps) (+.f64 x eps) (fma.f64 x x (*.f64 (+.f64 x eps) (neg.f64 x)))))
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(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (.f64 (.f64 #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps) eps) #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64))))) (+.f64 (/.f64 (sin.f64 x) (.f64 #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 (/.f64 (sin.f64 x) (.f64 #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps))) #s(literal 3 binary64)))) (fma.f64 (/.f64 (sin.f64 x) (.f64 #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps)) (+.f64 (/.f64 (sin.f64 x) (.f64 #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (.f64 #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps) (-.f64 (.f64 #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps) (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (sin.f64 x) (.f64 #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (.f64 (.f64 #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps) eps) #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps)) (+.f64 (/.f64 (sin.f64 x) (.f64 #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps)) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (expm1.f64 (.f64 (log.f64 (/.f64 (sin.f64 x) (.f64 #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps))) #s(literal 3 binary64))))))
(/.f64 (-.f64 (.f64 #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps) (sin.f64 x)) (.f64 #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps))
(neg.f64 (-.f64 (/.f64 (sin.f64 x) (.f64 #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps)) #s(literal 1 binary64))
(fma.f64 (sin.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps))) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps) (.f64 #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps)) (/.f64 (sin.f64 x) (.f64 #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (sin.f64 x) (.f64 #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps)) #s(literal 1 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (.f64 (.f64 #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps) eps) #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)))) (+.f64 (/.f64 (sin.f64 x) (.f64 #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sin.f64 x) (.f64 #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps)) (+.f64 (/.f64 (sin.f64 x) (.f64 #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) (.f64 #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps)) #s(literal 3 binary64)) (fma.f64 (/.f64 (sin.f64 x) (.f64 #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps)) (+.f64 (/.f64 (sin.f64 x) (.f64 #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (.f64 #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps)))
(+.f64 (/.f64 (neg.f64 (sin.f64 x)) (.f64 #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 x)) (.f64 #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps)))
#s(literal 1 binary64)
(.f64 (/.f64 (/.f64 (sin.f64 x) (.f64 #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps)) #s(literal 2 binary64)) #s(literal 2 binary64))
(.f64 (/.f64 (sin.f64 x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps)))
(.f64 (/.f64 (sin.f64 x) #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) eps))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps)) (sin.f64 x))
(.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 eps) #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)))))
(.f64 (/.f64 (sin.f64 x) (.f64 #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (.f64 #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps)))
(.f64 (sin.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps)) #s(literal 1 binary64)))
(.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps)))
(pow.f64 (.f64 #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) (/.f64 eps (sin.f64 x))) #s(literal -1 binary64))
(/.f64 (/.f64 (sin.f64 x) eps) #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (/.f64 (sin.f64 x) (.f64 #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps))) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (/.f64 (sin.f64 x) #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)))) (*.f64 #s(literal 2 binary64) eps))
(/.f64 (.f64 #s(literal 2 binary64) (neg.f64 (sin.f64 x))) (.f64 #s(literal 2 binary64) (.f64 (neg.f64 eps) #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)))))
(/.f64 (.f64 #s(literal 2 binary64) (sin.f64 x)) (.f64 #s(literal 2 binary64) (.f64 #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps)))
(/.f64 (.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)))) eps)
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) (.f64 (neg.f64 eps) #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (sin.f64 x)) (.f64 #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps))
(/.f64 (.f64 (sin.f64 x) #s(literal 1 binary64)) (.f64 #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps))
(/.f64 (neg.f64 (/.f64 (sin.f64 x) #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)))) (neg.f64 eps))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (.f64 (neg.f64 eps) #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)))))
(/.f64 (/.f64 (sin.f64 x) #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64))) (*.f64 eps #s(literal 1 binary64)))
(/.f64 (/.f64 (sin.f64 x) #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64))) eps)
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) (.f64 #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps)) #s(literal -1 binary64))
(/.f64 (neg.f64 (sin.f64 x)) (.f64 (.f64 (neg.f64 eps) #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (sin.f64 x)) (.f64 (neg.f64 eps) #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64))))
(/.f64 (/.f64 (sin.f64 x) (.f64 #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) (/.f64 eps (sin.f64 x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 eps (/.f64 (sin.f64 x) #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) (/.f64 eps (sin.f64 x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) (/.f64 eps (sin.f64 x))))
(/.f64 (sin.f64 x) (.f64 #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) (/.f64 eps (sin.f64 x)))))
(/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) (/.f64 eps (sin.f64 x)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (.f64 #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps)))
(.f64 (.f64 #s(literal 1 binary64) #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64))) eps)
(.f64 (.f64 #s(literal 1 binary64) eps) #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps) #s(literal 1 binary64))
(.f64 #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps)
(.f64 #s(literal 1 binary64) (.f64 #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps))
(.f64 eps #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps)) #s(literal 2 binary64))
#s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64))
(.f64 (.f64 #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps) eps)
(.f64 #s(approx (+ ( -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) (*.f64 eps eps))
(.f64 (.f64 eps eps) #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)))
(.f64 eps (.f64 #s(approx (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))) #s(literal -1/2 binary64)) eps))

eval84.0ms (1%)

Memory: 16.7MiB live, 203.4MiB allocated; 26ms collecting garbage
Compiler: Compiled 26 961 to 3 298 computations (87.8% saved)

prune18.0ms (0.2%)

Memory

11.7MiB live, 58.5MiB allocated; 2ms collecting garbage

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	602	4	606
Fresh	8	8	16
Picked	3	2	5
Done	1	0	1
Total	614	14	628

Accuracy

100.0%

Counts

628 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	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 #s(approx (+ 1/2 ( -1/48 (pow eps 2))) #s(literal 1/2 binary64))))) #s(literal -2 binary64))
	99.8%	(.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 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) eps))) #s(literal -2 binary64))
✓	99.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
	77.6%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (sin.f64 x) (neg.f64 eps)))
	48.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
	98.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x #s(literal -1 binary64)) x))) eps))
	98.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) (fma.f64 (*.f64 x #s(literal 1/4 binary64)) eps #s(literal -1 binary64))))))))
	98.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 x #s(approx (+ (* 1/6 x) (* 1/4 eps)) (*.f64 #s(literal 1/6 binary64) x))) #s(literal 1 binary64)))))))
	98.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x #s(approx (- ( x (+ (* 1/6 x) (* 1/4 eps))) 1) #s(literal -1 binary64)))))))
	76.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1))) (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))))
✓	76.5%	#s(approx (- (cos (+ x eps)) (cos x)) (neg.f64 #s(approx (* eps (sin x)) (*.f64 eps x))))
	98.4%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 (neg.f64 x) eps (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))))
	98.2%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) (*.f64 x eps))))
	98.4%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x))))))

Compiler

Compiled 433 to 302 computations (30.3% saved)

regimes317.0ms (3.7%)

Memory

-16.3MiB live, 400.8MiB allocated; 129ms collecting garbage

Accuracy

Total -18.1b remaining (-96%)

Threshold costs -18.1b (-96%)

Counts

4 → 1

7 → 1

9 → 1

23 → 1

29 → 1

33 → 1

45 → 1

51 → 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))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) 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 #s(approx (- ( (+ (* (cos x) -1/2) (* (* (sin x) eps) 1/6)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 eps #s(approx (- ( -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x #s(approx (- ( x (+ (* 1/6 x) (* 1/4 eps))) 1) #s(literal -1 binary64)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) (*.f64 x eps))))

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

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

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

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

Outputs

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

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

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

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

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

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))

Calls

24 calls:

70.0ms	x
40.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
31.0ms	eps
23.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
19.0ms	eps

Results

Accuracy	Segments	Branch
76.5%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
76.5%	1	`x`
76.5%	1	`eps`
98.3%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
98.3%	1	`x`
98.3%	1	`eps`
98.4%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
98.4%	1	`x`
98.4%	1	`eps`
98.7%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
98.7%	1	`x`
98.7%	1	`eps`
99.3%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.3%	1	`x`
99.3%	1	`eps`
99.6%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.6%	1	`x`
99.6%	1	`eps`
99.8%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.8%	1	`x`
99.8%	1	`eps`
99.8%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.8%	1	`x`
99.8%	1	`eps`

Compiler

Compiled 1 661 to 465 computations (72% saved)

derivations113.0ms (1.3%)

Memory

-4.5MiB live, 133.4MiB allocated; 17ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 223 to 95 computations (57.4% saved)

preprocess79.0ms (0.9%)

Memory: 14.0MiB live, 153.3MiB allocated; 24ms collecting garbage
Compiler: Compiled 260 to 126 computations (51.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze35.0ms (0.4%)

sample6.7s (78.1%)

preprocess30.0ms (0.3%)

series10.0ms (0.1%)

rewrite132.0ms (1.5%)

eval30.0ms (0.4%)

prune8.0ms (0.1%)

series38.0ms (0.4%)

rewrite166.0ms (1.9%)

eval62.0ms (0.7%)

prune36.0ms (0.4%)

series72.0ms (0.8%)

rewrite243.0ms (2.8%)

eval147.0ms (1.7%)

prune33.0ms (0.4%)

series92.0ms (1.1%)

rewrite147.0ms (1.7%)

eval84.0ms (1%)

prune18.0ms (0.2%)

regimes317.0ms (3.7%)

derivations113.0ms (1.3%)

preprocess79.0ms (0.9%)

end0.0ms (0%)

Profiling