Metrics for 2tan (problem 3.3.2)

start0.0ms (0%)

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

analyze39.0ms (0.3%)

Memory

-2.8MiB live, 44.4MiB allocated; 20ms 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)

sample6.4s (56.1%)

Memory

113.4MiB live, 4 354.4MiB allocated; 1.9s collecting garbage

Samples

3.0s	25 627×	0	invalid
1.2s	5 593×	1	valid
207.0ms	2 663×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.5s

ival-tan: 931.0ms (36.8% of total)

adjust: 348.0ms (13.8% of total)

ival-fabs: 328.0ms (13% of total)

ival-<: 316.0ms (12.5% of total)

ival-mult!: 246.0ms (9.7% of total)

ival-sub!: 144.0ms (5.7% of total)

ival-add!: 142.0ms (5.6% of total)

ival-and: 61.0ms (2.4% of total)

ival-assert: 13.0ms (0.5% of total)

Bogosity

preprocess62.0ms (0.5%)

Memory

-69.8MiB live, 9.8MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	50
1	62	50
2	225	50
3	1487	50

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.3%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Compiler

Compiled 12 to 12 computations (0% saved)

series12.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated; 0ms collecting garbage

Counts

6 → 36

Calls

Call 1

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

Outputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx x #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (+ eps x)) (cos (+ eps x)))))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) x eps (tan x))
2.0ms	eps	@	0	((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) x eps (tan x))
2.0ms	eps	@	inf	((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) x eps (tan x))
2.0ms	x	@	0	((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) x eps (tan x))
2.0ms	eps	@	-inf	((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) x eps (tan x))

rewrite855.0ms (7.5%)

Memory

35.2MiB live, 631.0MiB allocated; 119ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	201	1262
0	206	1113
1	648	832
2	3112	779
0	9221	691
0	53303	650

Stop Event

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

Counts

42 → 151

Calls

Call 1

Inputs
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(tan.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(tan.f64 x)
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx x #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (+ eps x)) (cos (+ eps x)))))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))

Outputs
(/.f64 (-.f64 (.f64 (.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (tan.f64 (+.f64 eps x))) (.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (tan.f64 (+.f64 eps x)))) (.f64 (.f64 (/.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (tan.f64 x)) (.f64 (/.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (tan.f64 x)))) (fma.f64 (tan.f64 (+.f64 eps x)) (/.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (/.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (tan.f64 x))))
(/.f64 (-.f64 (*.f64 (tan.f64 (+.f64 eps x)) (tan.f64 (+.f64 eps x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (tan.f64 (+.f64 eps x))) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (tan.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (tan.f64 (+.f64 eps x))) (.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (tan.f64 (+.f64 eps x))) (fma.f64 (.f64 (/.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (tan.f64 x)) (.f64 (/.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (tan.f64 x)) (.f64 (.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (tan.f64 (+.f64 eps x))) (*.f64 (/.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (tan.f64 x))))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (fma.f64 (tan.f64 (+.f64 eps x)) (tan.f64 (+.f64 eps x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(/.f64 (fma.f64 (-.f64 (sin.f64 eps) (sin.f64 (-.f64 (+.f64 x x) eps))) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (-.f64 (neg.f64 (sin.f64 eps)) (sin.f64 (-.f64 (+.f64 x x) eps))))) (.f64 #s(literal 4 binary64) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(/.f64 (fma.f64 (+.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) x eps)) (sin.f64 eps)) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (-.f64 (neg.f64 (sin.f64 eps)) (sin.f64 (-.f64 (+.f64 x x) eps))))) (.f64 #s(literal 4 binary64) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(/.f64 (fma.f64 (+.f64 (sin.f64 eps) (sin.f64 (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (-.f64 (neg.f64 (sin.f64 eps)) (sin.f64 (-.f64 (+.f64 x x) eps))))) (.f64 #s(literal 4 binary64) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 x) (sin.f64 (+.f64 eps x))) (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) (.f64 (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))))) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))) (neg.f64 (cos.f64 x)))
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(+.f64 (/.f64 (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (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 (+.f64 eps x)) (.f64 (sin.f64 x) (cos.f64 eps))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x)))))))
(+.f64 (/.f64 (*.f64 (sin.f64 (+.f64 eps x)) #s(literal -1 binary64)) (neg.f64 (cos.f64 (+.f64 eps x)))) (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 eps x)))))
(+.f64 (.f64 (sin.f64 x) (/.f64 (cos.f64 eps) (cos.f64 (+.f64 eps x)))) (.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))))
(+.f64 (.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))) (.f64 (sin.f64 x) (/.f64 (cos.f64 eps) (cos.f64 (+.f64 eps x)))))
(*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 x) eps))
(/.f64 (-.f64 (.f64 x x) (.f64 (neg.f64 eps) (neg.f64 eps))) (+.f64 x (neg.f64 eps)))
(/.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (+.f64 eps (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 eps eps (fma.f64 x x (*.f64 (neg.f64 eps) x))))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (neg.f64 eps) (neg.f64 eps) (*.f64 (neg.f64 x) eps))))
(neg.f64 (-.f64 (neg.f64 x) eps))
(-.f64 eps (neg.f64 x))
(-.f64 x (neg.f64 eps))
(+.f64 eps x)
(+.f64 x eps)
x
eps
(/.f64 (+.f64 (tan.f64 (PI.f64)) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (PI.f64)) (tan.f64 x))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 (PI.f64)))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(neg.f64 (neg.f64 (tan.f64 x)))
(tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))
(tan.f64 (+.f64 x (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(tan.f64 (+.f64 (PI.f64) x))
(tan.f64 x)
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x))) (neg.f64 (tan.f64 x)))
(+.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x))) (tan.f64 x))
(+.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal -1 binary64)) (neg.f64 (cos.f64 x))) (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x))))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) x (tan.f64 eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (tan.f64 eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) x (tan.f64 eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (-.f64 (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal -2 binary64) eps (PI.f64))))) (tan.f64 eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal -2 binary64) eps (PI.f64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps eps))) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 4 binary64)))))) x)) x (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) x (tan.f64 eps)))
#s(approx (tan (+ x eps)) (tan.f64 eps))
#s(approx (tan (+ x eps)) (+.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (tan.f64 eps)))
#s(approx (tan (+ x eps)) (fma.f64 (fma.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (tan.f64 eps) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal -2 binary64) eps (PI.f64)))))) x (tan.f64 eps)))
#s(approx (tan (+ x eps)) (fma.f64 (fma.f64 (-.f64 (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal -2 binary64) eps (PI.f64))))) (tan.f64 eps)) (.f64 (-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal -2 binary64) eps (PI.f64))))) #s(literal -1/2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal -2 binary64) eps (PI.f64))))) #s(literal 1/6 binary64))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps eps))) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 4 binary64)))) x)) x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal -2 binary64) eps (PI.f64)))))) x (tan.f64 eps)))
#s(approx (+ x eps) eps)
#s(approx (+ x eps) (+.f64 eps x))
#s(approx x x)
#s(approx (tan x) x)
#s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x))
#s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (tan x) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
#s(approx (tan (+ x eps)) (tan.f64 (+.f64 eps x)))
#s(approx (+ x eps) x)
#s(approx (+ x eps) (fma.f64 (/.f64 eps x) x x))
#s(approx (tan x) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
#s(approx (tan (+ x eps)) (tan.f64 (+.f64 eps x)))
#s(approx (+ x eps) (fma.f64 (/.f64 eps x) x x))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))))) eps) (tan.f64 x) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64)))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (-.f64 (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))))) (tan.f64 x)) (.f64 (-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))))) #s(literal -1/2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))))) #s(literal 1/6 binary64))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) eps)) eps (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64)))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))))) (tan.f64 x)) #s(literal -1/3 binary64) (.f64 (-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))))) #s(literal -1/2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))))) #s(literal 1/6 binary64))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (tan.f64 x))) (neg.f64 eps)) (-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))))) #s(literal -1/2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))))) #s(literal 1/6 binary64))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) eps (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))))) (tan.f64 x))) eps (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64)))))) eps))
#s(approx (tan (+ x eps)) (tan.f64 x))
#s(approx (tan (+ x eps)) (fma.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))))) eps (tan.f64 x)))
#s(approx (tan (+ x eps)) (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))))) eps) (tan.f64 x) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64)))))) eps (tan.f64 x)))
#s(approx (tan (+ x eps)) (fma.f64 (fma.f64 (-.f64 (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))))) (tan.f64 x)) (.f64 (-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))))) #s(literal -1/2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))))) #s(literal 1/6 binary64))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) eps)) eps (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64)))))) eps (tan.f64 x)))
#s(approx eps eps)
#s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
#s(approx (tan (+ x eps)) (tan.f64 (+.f64 eps x)))
#s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps))

eval18.0ms (0.2%)

Memory: -7.2MiB live, 37.7MiB allocated; 4ms collecting garbage
Compiler: Compiled 2 167 to 591 computations (72.7% saved)

prune4.0ms (0%)

Memory

8.6MiB live, 8.6MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	137	4	141
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	137	5	142

Accuracy

99.9%

Counts

142 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
▶	6.2%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
✓	59.3%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))))) eps))
▶	98.3%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))

Compiler

Compiled 46 to 46 computations (0% saved)

series57.0ms (0.5%)

Memory

8.0MiB live, 52.7MiB allocated; 7ms collecting garbage

Counts

25 → 137

Calls

Call 1

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

Outputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (* (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) eps) #s(hole binary64 (* 2 (/ eps (- 1 (cos (PI)))))))
#s(approx (* (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) eps) #s(hole binary64 (+ (* 2 (/ eps (- 1 (cos (PI))))) (* 4 (/ (* eps (* x (sin (PI)))) (pow (- 1 (cos (PI))) 2))))))
#s(approx (* (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) eps) #s(hole binary64 (+ (* 2 (/ eps (- 1 (cos (PI))))) (* x (+ (* -2 (* x (+ (* -4 (/ (* eps (pow (sin (PI)) 2)) (pow (- 1 (cos (PI))) 3))) (* 2 (/ (* eps (cos (PI))) (pow (- 1 (cos (PI))) 2)))))) (* 4 (/ (* eps (sin (PI))) (pow (- 1 (cos (PI))) 2))))))))
#s(approx (* (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) eps) #s(hole binary64 (+ (* 2 (/ eps (- 1 (cos (PI))))) (* x (+ (* 4 (/ (* eps (sin (PI))) (pow (- 1 (cos (PI))) 2))) (* x (+ (* -2 (* x (+ (* 4/3 (/ (* eps (sin (PI))) (pow (- 1 (cos (PI))) 2))) (+ (* 2 (/ (* (sin (PI)) (+ (* -4 (/ (* eps (pow (sin (PI)) 2)) (pow (- 1 (cos (PI))) 3))) (* 2 (/ (* eps (cos (PI))) (pow (- 1 (cos (PI))) 2))))) (- 1 (cos (PI))))) (* 4 (/ (* eps (* (cos (PI)) (sin (PI)))) (pow (- 1 (cos (PI))) 3))))))) (* -2 (+ (* -4 (/ (* eps (pow (sin (PI)) 2)) (pow (- 1 (cos (PI))) 3))) (* 2 (/ (* eps (cos (PI))) (pow (- 1 (cos (PI))) 2))))))))))))
#s(approx (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) #s(hole binary64 (/ 2 (- 1 (cos (PI))))))
#s(approx (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) #s(hole binary64 (+ (* 4 (/ (* x (sin (PI))) (pow (- 1 (cos (PI))) 2))) (* 2 (/ 1 (- 1 (cos (PI))))))))
#s(approx (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) #s(hole binary64 (+ (* x (- (* -1 (* x (+ (* -8 (/ (pow (sin (PI)) 2) (pow (- 1 (cos (PI))) 3))) (* 4 (/ (cos (PI)) (pow (- 1 (cos (PI))) 2)))))) (* -4 (/ (sin (PI)) (pow (- 1 (cos (PI))) 2))))) (* 2 (/ 1 (- 1 (cos (PI))))))))
#s(approx (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* 2 (/ (* (sin (PI)) (+ (* -8 (/ (pow (sin (PI)) 2) (pow (- 1 (cos (PI))) 3))) (* 4 (/ (cos (PI)) (pow (- 1 (cos (PI))) 2))))) (- 1 (cos (PI))))) (+ (* 8/3 (/ (sin (PI)) (pow (- 1 (cos (PI))) 2))) (* 8 (/ (* (cos (PI)) (sin (PI))) (pow (- 1 (cos (PI))) 3))))))) (+ (* -8 (/ (pow (sin (PI)) 2) (pow (- 1 (cos (PI))) 3))) (* 4 (/ (cos (PI)) (pow (- 1 (cos (PI))) 2)))))) (* -4 (/ (sin (PI)) (pow (- 1 (cos (PI))) 2))))) (* 2 (/ 1 (- 1 (cos (PI))))))))
#s(approx (- 1 (cos (+ (* -2 x) (PI)))) #s(hole binary64 (- 1 (cos (PI)))))
#s(approx (- 1 (cos (+ (* -2 x) (PI)))) #s(hole binary64 (- (+ 1 (* -2 (* x (sin (PI))))) (cos (PI)))))
#s(approx (- 1 (cos (+ (* -2 x) (PI)))) #s(hole binary64 (- (+ 1 (* x (+ (* -2 (sin (PI))) (* 2 (* x (cos (PI))))))) (cos (PI)))))
#s(approx (- 1 (cos (+ (* -2 x) (PI)))) #s(hole binary64 (- (+ 1 (* x (+ (* -2 (sin (PI))) (* x (- (* 4/3 (* x (sin (PI)))) (* -2 (cos (PI)))))))) (cos (PI)))))
#s(approx (cos (+ (* -2 x) (PI))) #s(hole binary64 (cos (PI))))
#s(approx (cos (+ (* -2 x) (PI))) #s(hole binary64 (+ (cos (PI)) (* 2 (* x (sin (PI)))))))
#s(approx (cos (+ (* -2 x) (PI))) #s(hole binary64 (+ (cos (PI)) (* x (- (* -2 (* x (cos (PI)))) (* -2 (sin (PI))))))))
#s(approx (cos (+ (* -2 x) (PI))) #s(hole binary64 (+ (cos (PI)) (* x (- (* x (+ (* -2 (cos (PI))) (* -4/3 (* x (sin (PI)))))) (* -2 (sin (PI))))))))
#s(approx (+ (* -2 x) (PI)) #s(hole binary64 (PI)))
#s(approx (+ (* -2 x) (PI)) #s(hole binary64 (+ (PI) (* -2 x))))
#s(approx x #s(hole binary64 x))
#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) #s(hole binary64 (- (/ (sin eps) (cos eps)) (/ (sin (PI)) (cos (PI))))))
#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) #s(hole binary64 (- (+ (* x (- (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))))
#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) #s(hole binary64 (- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))))
#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) #s(hole binary64 (- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (+ (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* x (- (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (tan (+ (PI) x)) #s(hole binary64 (/ (sin (PI)) (cos (PI)))))
#s(approx (tan (+ (PI) x)) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (PI) x)) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (PI) x)) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))))) (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI))))))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (+ (PI) x) #s(hole binary64 (PI)))
#s(approx (+ (PI) x) #s(hole binary64 (+ x (PI))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (cos eps)))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (+ (cos eps) (* -1 (* x (sin eps))))))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos eps)))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos eps) (* -1 (* x (sin eps))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
#s(approx (* (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) eps) #s(hole binary64 (* 2 (/ eps (- 1 (cos (- (PI) (* 2 x))))))))
#s(approx (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) #s(hole binary64 (/ 2 (- 1 (cos (- (PI) (* 2 x)))))))
#s(approx (- 1 (cos (+ (* -2 x) (PI)))) #s(hole binary64 (- 1 (cos (- (PI) (* 2 x))))))
#s(approx (cos (+ (* -2 x) (PI))) #s(hole binary64 (cos (- (PI) (* 2 x)))))
#s(approx (+ (* -2 x) (PI)) #s(hole binary64 (* -2 x)))
#s(approx (+ (* -2 x) (PI)) #s(hole binary64 (* x (- (/ (PI) x) 2))))
#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (+ eps x)) (cos (+ eps x)))))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (tan (+ (PI) x)) #s(hole binary64 (/ (sin (+ x (PI))) (cos (+ x (PI))))))
#s(approx (+ (PI) x) #s(hole binary64 x))
#s(approx (+ (PI) x) #s(hole binary64 (* x (+ 1 (/ (PI) x)))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (/ (sin eps) (* (cos x) (cos (+ eps x))))))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (* (cos x) (cos (+ eps x)))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos (+ eps x))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))))
#s(approx (* (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) eps) #s(hole binary64 (* 2 (/ eps (- 1 (cos (+ (PI) (* -2 x))))))))
#s(approx (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) #s(hole binary64 (/ 2 (- 1 (cos (+ (PI) (* -2 x)))))))
#s(approx (- 1 (cos (+ (* -2 x) (PI)))) #s(hole binary64 (- 1 (cos (+ (PI) (* -2 x))))))
#s(approx (cos (+ (* -2 x) (PI))) #s(hole binary64 (cos (+ (PI) (* -2 x)))))
#s(approx (+ (* -2 x) (PI)) #s(hole binary64 (* -1 (* x (+ 2 (* -1 (/ (PI) x)))))))
#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x)))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (tan (+ (PI) x)) #s(hole binary64 (/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x))))))
#s(approx (+ (PI) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (PI) x)) 1)))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (* (cos x) (cos (- eps (* -1 x))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos (- eps (* -1 x)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (tan eps) #s(hole binary64 eps))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) #s(hole binary64 (- (/ (sin x) (cos x)) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) #s(hole binary64 (- (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) #s(hole binary64 (- (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) #s(hole binary64 (- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (/ eps (pow (cos x) 2))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3))))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))))
#s(approx (sin eps) #s(hole binary64 eps))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (pow (cos x) 2)))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2))))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2))))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos x)))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos x) (* -1 (* eps (sin x))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))))
#s(approx (tan eps) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (/ (sin eps) (* (cos x) (cos (- x (* -1 eps)))))))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (* (cos x) (cos (- x (* -1 eps))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos (- x (* -1 eps)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
25.0ms	eps	@	0	((- (tan (+ x eps)) (tan x)) (tan eps) eps (- (tan (+ x eps)) (tan x)) (* (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) eps) (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) 2 (- 1 (cos (+ (* -2 x) (PI)))) 1 (cos (+ (* -2 x) (PI))) (+ (* -2 x) (PI)) -2 x (PI) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (tan (+ (PI) x)) (+ (PI) x) (/ (sin eps) (* (cos x) (cos (+ eps x)))) (sin eps) (* (cos x) (cos (+ eps x))) (cos x) (cos (+ eps x)) (+ eps x))
7.0ms	x	@	-inf	((- (tan (+ x eps)) (tan x)) (tan eps) eps (- (tan (+ x eps)) (tan x)) (* (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) eps) (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) 2 (- 1 (cos (+ (* -2 x) (PI)))) 1 (cos (+ (* -2 x) (PI))) (+ (* -2 x) (PI)) -2 x (PI) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (tan (+ (PI) x)) (+ (PI) x) (/ (sin eps) (* (cos x) (cos (+ eps x)))) (sin eps) (* (cos x) (cos (+ eps x))) (cos x) (cos (+ eps x)) (+ eps x))
7.0ms	x	@	0	((- (tan (+ x eps)) (tan x)) (tan eps) eps (- (tan (+ x eps)) (tan x)) (* (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) eps) (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) 2 (- 1 (cos (+ (* -2 x) (PI)))) 1 (cos (+ (* -2 x) (PI))) (+ (* -2 x) (PI)) -2 x (PI) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (tan (+ (PI) x)) (+ (PI) x) (/ (sin eps) (* (cos x) (cos (+ eps x)))) (sin eps) (* (cos x) (cos (+ eps x))) (cos x) (cos (+ eps x)) (+ eps x))
5.0ms	eps	@	inf	((- (tan (+ x eps)) (tan x)) (tan eps) eps (- (tan (+ x eps)) (tan x)) (* (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) eps) (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) 2 (- 1 (cos (+ (* -2 x) (PI)))) 1 (cos (+ (* -2 x) (PI))) (+ (* -2 x) (PI)) -2 x (PI) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (tan (+ (PI) x)) (+ (PI) x) (/ (sin eps) (* (cos x) (cos (+ eps x)))) (sin eps) (* (cos x) (cos (+ eps x))) (cos x) (cos (+ eps x)) (+ eps x))
5.0ms	eps	@	-inf	((- (tan (+ x eps)) (tan x)) (tan eps) eps (- (tan (+ x eps)) (tan x)) (* (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) eps) (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) 2 (- 1 (cos (+ (* -2 x) (PI)))) 1 (cos (+ (* -2 x) (PI))) (+ (* -2 x) (PI)) -2 x (PI) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (tan (+ (PI) x)) (+ (PI) x) (/ (sin eps) (* (cos x) (cos (+ eps x)))) (sin eps) (* (cos x) (cos (+ eps x))) (cos x) (cos (+ eps x)) (+ eps x))

rewrite375.0ms (3.3%)

Memory

-14.7MiB live, 248.8MiB allocated; 57ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	702	4327
0	730	3271
1	2546	2937
0	8483	2800

Stop Event

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

Counts

162 → 356

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
(tan.f64 eps)
eps
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))))) eps))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))))) eps)
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64)))))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))))
#s(literal 1 binary64)
(cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64)))
(fma.f64 #s(literal -2 binary64) x (PI.f64))
#s(literal -2 binary64)
x
(PI.f64)
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
(tan.f64 (+.f64 x eps))
(+.f64 x eps)
(tan.f64 (+.f64 (PI.f64) x))
(+.f64 (PI.f64) x)
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(sin.f64 eps)
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(cos.f64 x)
(cos.f64 (+.f64 eps x))
(+.f64 eps x)
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (* (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) eps) #s(hole binary64 (* 2 (/ eps (- 1 (cos (PI)))))))
#s(approx (* (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) eps) #s(hole binary64 (+ (* 2 (/ eps (- 1 (cos (PI))))) (* 4 (/ (* eps (* x (sin (PI)))) (pow (- 1 (cos (PI))) 2))))))
#s(approx (* (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) eps) #s(hole binary64 (+ (* 2 (/ eps (- 1 (cos (PI))))) (* x (+ (* -2 (* x (+ (* -4 (/ (* eps (pow (sin (PI)) 2)) (pow (- 1 (cos (PI))) 3))) (* 2 (/ (* eps (cos (PI))) (pow (- 1 (cos (PI))) 2)))))) (* 4 (/ (* eps (sin (PI))) (pow (- 1 (cos (PI))) 2))))))))
#s(approx (* (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) eps) #s(hole binary64 (+ (* 2 (/ eps (- 1 (cos (PI))))) (* x (+ (* 4 (/ (* eps (sin (PI))) (pow (- 1 (cos (PI))) 2))) (* x (+ (* -2 (* x (+ (* 4/3 (/ (* eps (sin (PI))) (pow (- 1 (cos (PI))) 2))) (+ (* 2 (/ (* (sin (PI)) (+ (* -4 (/ (* eps (pow (sin (PI)) 2)) (pow (- 1 (cos (PI))) 3))) (* 2 (/ (* eps (cos (PI))) (pow (- 1 (cos (PI))) 2))))) (- 1 (cos (PI))))) (* 4 (/ (* eps (* (cos (PI)) (sin (PI)))) (pow (- 1 (cos (PI))) 3))))))) (* -2 (+ (* -4 (/ (* eps (pow (sin (PI)) 2)) (pow (- 1 (cos (PI))) 3))) (* 2 (/ (* eps (cos (PI))) (pow (- 1 (cos (PI))) 2))))))))))))
#s(approx (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) #s(hole binary64 (/ 2 (- 1 (cos (PI))))))
#s(approx (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) #s(hole binary64 (+ (* 4 (/ (* x (sin (PI))) (pow (- 1 (cos (PI))) 2))) (* 2 (/ 1 (- 1 (cos (PI))))))))
#s(approx (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) #s(hole binary64 (+ (* x (- (* -1 (* x (+ (* -8 (/ (pow (sin (PI)) 2) (pow (- 1 (cos (PI))) 3))) (* 4 (/ (cos (PI)) (pow (- 1 (cos (PI))) 2)))))) (* -4 (/ (sin (PI)) (pow (- 1 (cos (PI))) 2))))) (* 2 (/ 1 (- 1 (cos (PI))))))))
#s(approx (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* 2 (/ (* (sin (PI)) (+ (* -8 (/ (pow (sin (PI)) 2) (pow (- 1 (cos (PI))) 3))) (* 4 (/ (cos (PI)) (pow (- 1 (cos (PI))) 2))))) (- 1 (cos (PI))))) (+ (* 8/3 (/ (sin (PI)) (pow (- 1 (cos (PI))) 2))) (* 8 (/ (* (cos (PI)) (sin (PI))) (pow (- 1 (cos (PI))) 3))))))) (+ (* -8 (/ (pow (sin (PI)) 2) (pow (- 1 (cos (PI))) 3))) (* 4 (/ (cos (PI)) (pow (- 1 (cos (PI))) 2)))))) (* -4 (/ (sin (PI)) (pow (- 1 (cos (PI))) 2))))) (* 2 (/ 1 (- 1 (cos (PI))))))))
#s(approx (- 1 (cos (+ (* -2 x) (PI)))) #s(hole binary64 (- 1 (cos (PI)))))
#s(approx (- 1 (cos (+ (* -2 x) (PI)))) #s(hole binary64 (- (+ 1 (* -2 (* x (sin (PI))))) (cos (PI)))))
#s(approx (- 1 (cos (+ (* -2 x) (PI)))) #s(hole binary64 (- (+ 1 (* x (+ (* -2 (sin (PI))) (* 2 (* x (cos (PI))))))) (cos (PI)))))
#s(approx (- 1 (cos (+ (* -2 x) (PI)))) #s(hole binary64 (- (+ 1 (* x (+ (* -2 (sin (PI))) (* x (- (* 4/3 (* x (sin (PI)))) (* -2 (cos (PI)))))))) (cos (PI)))))
#s(approx (cos (+ (* -2 x) (PI))) #s(hole binary64 (cos (PI))))
#s(approx (cos (+ (* -2 x) (PI))) #s(hole binary64 (+ (cos (PI)) (* 2 (* x (sin (PI)))))))
#s(approx (cos (+ (* -2 x) (PI))) #s(hole binary64 (+ (cos (PI)) (* x (- (* -2 (* x (cos (PI)))) (* -2 (sin (PI))))))))
#s(approx (cos (+ (* -2 x) (PI))) #s(hole binary64 (+ (cos (PI)) (* x (- (* x (+ (* -2 (cos (PI))) (* -4/3 (* x (sin (PI)))))) (* -2 (sin (PI))))))))
#s(approx (+ (* -2 x) (PI)) #s(hole binary64 (PI)))
#s(approx (+ (* -2 x) (PI)) #s(hole binary64 (+ (PI) (* -2 x))))
#s(approx x #s(hole binary64 x))
#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) #s(hole binary64 (- (/ (sin eps) (cos eps)) (/ (sin (PI)) (cos (PI))))))
#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) #s(hole binary64 (- (+ (* x (- (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))))
#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) #s(hole binary64 (- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))))
#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) #s(hole binary64 (- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (+ (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* x (- (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (tan (+ (PI) x)) #s(hole binary64 (/ (sin (PI)) (cos (PI)))))
#s(approx (tan (+ (PI) x)) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (PI) x)) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (PI) x)) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))))) (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI))))))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (+ (PI) x) #s(hole binary64 (PI)))
#s(approx (+ (PI) x) #s(hole binary64 (+ x (PI))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (cos eps)))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (+ (cos eps) (* -1 (* x (sin eps))))))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos eps)))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos eps) (* -1 (* x (sin eps))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
#s(approx (* (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) eps) #s(hole binary64 (* 2 (/ eps (- 1 (cos (- (PI) (* 2 x))))))))
#s(approx (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) #s(hole binary64 (/ 2 (- 1 (cos (- (PI) (* 2 x)))))))
#s(approx (- 1 (cos (+ (* -2 x) (PI)))) #s(hole binary64 (- 1 (cos (- (PI) (* 2 x))))))
#s(approx (cos (+ (* -2 x) (PI))) #s(hole binary64 (cos (- (PI) (* 2 x)))))
#s(approx (+ (* -2 x) (PI)) #s(hole binary64 (* -2 x)))
#s(approx (+ (* -2 x) (PI)) #s(hole binary64 (* x (- (/ (PI) x) 2))))
#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (+ eps x)) (cos (+ eps x)))))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (tan (+ (PI) x)) #s(hole binary64 (/ (sin (+ x (PI))) (cos (+ x (PI))))))
#s(approx (+ (PI) x) #s(hole binary64 x))
#s(approx (+ (PI) x) #s(hole binary64 (* x (+ 1 (/ (PI) x)))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (/ (sin eps) (* (cos x) (cos (+ eps x))))))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (* (cos x) (cos (+ eps x)))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos (+ eps x))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))))
#s(approx (* (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) eps) #s(hole binary64 (* 2 (/ eps (- 1 (cos (+ (PI) (* -2 x))))))))
#s(approx (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) #s(hole binary64 (/ 2 (- 1 (cos (+ (PI) (* -2 x)))))))
#s(approx (- 1 (cos (+ (* -2 x) (PI)))) #s(hole binary64 (- 1 (cos (+ (PI) (* -2 x))))))
#s(approx (cos (+ (* -2 x) (PI))) #s(hole binary64 (cos (+ (PI) (* -2 x)))))
#s(approx (+ (* -2 x) (PI)) #s(hole binary64 (* -1 (* x (+ 2 (* -1 (/ (PI) x)))))))
#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x)))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (tan (+ (PI) x)) #s(hole binary64 (/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x))))))
#s(approx (+ (PI) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (PI) x)) 1)))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (* (cos x) (cos (- eps (* -1 x))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos (- eps (* -1 x)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (tan eps) #s(hole binary64 eps))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) #s(hole binary64 (- (/ (sin x) (cos x)) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) #s(hole binary64 (- (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) #s(hole binary64 (- (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) #s(hole binary64 (- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (/ eps (pow (cos x) 2))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3))))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))))
#s(approx (sin eps) #s(hole binary64 eps))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (pow (cos x) 2)))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2))))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2))))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos x)))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos x) (* -1 (* eps (sin x))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))))
#s(approx (tan eps) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (/ (sin eps) (* (cos x) (cos (- x (* -1 eps)))))))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (* (cos x) (cos (- x (* -1 eps))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos (- x (* -1 eps)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))

Outputs
#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) (tan.f64 eps))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (/.f64 (sin.f64 eps) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 eps) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))
(*.f64 (tan.f64 eps) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (tan.f64 eps))
(/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (neg.f64 (neg.f64 (cos.f64 eps))))
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(neg.f64 (neg.f64 (tan.f64 eps)))
(tan.f64 (+.f64 (+.f64 eps (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 eps (PI.f64)))
(tan.f64 eps)
eps
#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) (/.f64 (+.f64 eps eps) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))))
(*.f64 (/.f64 eps (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))) eps)
(*.f64 #s(literal 2 binary64) (/.f64 eps (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))))
(*.f64 eps (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))))
(/.f64 (fma.f64 (neg.f64 eps) (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))) (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))) (neg.f64 eps))) (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))) (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x)))))))
(/.f64 (fma.f64 (neg.f64 eps) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x)))) (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))) eps)) (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))))
(/.f64 (fma.f64 eps (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x)))) (neg.f64 eps))) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x)))))))
(/.f64 (fma.f64 eps (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x)))) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x)))) eps)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))))
(/.f64 (+.f64 (neg.f64 eps) (neg.f64 eps)) (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))))
(/.f64 (+.f64 eps eps) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x)))))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 eps)) (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))))
(/.f64 (*.f64 #s(literal 2 binary64) eps) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x)))))
(neg.f64 (*.f64 #s(literal -2 binary64) (/.f64 eps (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x)))))))
(neg.f64 (*.f64 (/.f64 eps (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))) #s(literal -2 binary64)))
(+.f64 (/.f64 eps (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))) (/.f64 eps (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))))
(/.f64 #s(literal -2 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x)))))))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x)))))
(neg.f64 (/.f64 #s(literal 2 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x)))))))
(neg.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))
#s(literal 1 binary64)
(neg.f64 (cos.f64 (+.f64 x x)))
(sin.f64 (+.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (neg.f64 (cos.f64 (+.f64 x x))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1 binary64) (.f64 (neg.f64 (sin.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (cos.f64 (+.f64 x x)) (.f64 #s(literal 0 binary64) (sin.f64 (.f64 #s(literal -2 binary64) x))))
(fma.f64 #s(literal -1 binary64) (cos.f64 (+.f64 x x)) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 x x))))
(-.f64 (.f64 #s(literal -1 binary64) (cos.f64 (+.f64 x x))) (.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal -2 binary64) x))))
(-.f64 (.f64 #s(literal -1 binary64) (cos.f64 (+.f64 x x))) (.f64 #s(literal 0 binary64) (sin.f64 (+.f64 x x))))
(-.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal -1 binary64)) (.f64 (sin.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 0 binary64)))
(cos.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64)))))
(cos.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))))
(cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64)))
(+.f64 (.f64 (sin.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (neg.f64 (cos.f64 (+.f64 x x))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (cos.f64 (+.f64 x x))) (.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal -2 binary64) x))))
(+.f64 (.f64 #s(literal -1 binary64) (cos.f64 (+.f64 x x))) (.f64 #s(literal 0 binary64) (sin.f64 (+.f64 x x))))
(+.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal -1 binary64)) (.f64 (neg.f64 (sin.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) #s(literal 2 binary64) (PI.f64))
(fma.f64 (+.f64 x x) #s(literal -1 binary64) (PI.f64))
(fma.f64 #s(literal -2 binary64) x (PI.f64))
(fma.f64 #s(literal 2 binary64) (neg.f64 x) (PI.f64))
(fma.f64 x #s(literal -2 binary64) (PI.f64))
(-.f64 (PI.f64) (+.f64 x x))
(+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) x))
(+.f64 (*.f64 #s(literal -2 binary64) x) (PI.f64))
#s(literal -2 binary64)
x
(PI.f64)
(/.f64 (-.f64 (.f64 (sin.f64 (neg.f64 (+.f64 eps x))) (neg.f64 (cos.f64 x))) (.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (sin.f64 (-.f64 (PI.f64) (neg.f64 x))))) (*.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (neg.f64 (cos.f64 x))))
(/.f64 (-.f64 (.f64 (sin.f64 (neg.f64 (+.f64 eps x))) (neg.f64 (neg.f64 (cos.f64 x)))) (.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (neg.f64 (neg.f64 (sin.f64 x))))) (*.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (neg.f64 (neg.f64 (cos.f64 x)))))
(/.f64 (-.f64 (.f64 (sin.f64 (neg.f64 (+.f64 eps x))) (neg.f64 (cos.f64 x))) (.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (neg.f64 (sin.f64 x)))) (*.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (neg.f64 (cos.f64 x))))
(/.f64 (-.f64 (.f64 (sin.f64 (neg.f64 (+.f64 eps x))) (cos.f64 x)) (.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (sin.f64 x))) (neg.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (-.f64 (.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (neg.f64 (cos.f64 x)))) (.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (neg.f64 (sin.f64 x))))) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (neg.f64 (cos.f64 x)))))
(/.f64 (-.f64 (.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (neg.f64 (neg.f64 (cos.f64 x)))) (.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (neg.f64 (sin.f64 x))))) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (neg.f64 (cos.f64 x)))))
(/.f64 (-.f64 (.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (neg.f64 (neg.f64 (cos.f64 x)))) (.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (neg.f64 (sin.f64 x))))) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (neg.f64 (cos.f64 x)))))
(/.f64 (-.f64 (.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (neg.f64 (cos.f64 x))) (.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))) (neg.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (neg.f64 (sin.f64 (-.f64 (+.f64 eps x) x))) (neg.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (neg.f64 (sin.f64 (-.f64 (+.f64 eps x) (+.f64 (PI.f64) x)))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (neg.f64 (sin.f64 (-.f64 (-.f64 x (neg.f64 eps)) (+.f64 (PI.f64) x)))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (neg.f64 (sin.f64 (-.f64 (-.f64 x (neg.f64 eps)) x))) (neg.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (neg.f64 (sin.f64 (-.f64 (-.f64 eps (neg.f64 x)) (-.f64 (PI.f64) (neg.f64 x))))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (neg.f64 (sin.f64 (-.f64 (-.f64 eps (neg.f64 x)) x))) (neg.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (sin.f64 (-.f64 (-.f64 x (neg.f64 eps)) (+.f64 (PI.f64) x))) (neg.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (sin.f64 (-.f64 (-.f64 x (neg.f64 eps)) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (sin.f64 (-.f64 (-.f64 eps (neg.f64 x)) (-.f64 (PI.f64) (neg.f64 x)))) (neg.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (sin.f64 (-.f64 (+.f64 eps x) (+.f64 (PI.f64) x))) (neg.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (sin.f64 (-.f64 (-.f64 eps (neg.f64 x)) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (/.f64 (.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (/.f64 (.f64 (cos.f64 (+.f64 eps x)) (sin.f64 x)) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(-.f64 (/.f64 (.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))) (neg.f64 (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) (/.f64 (.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x))) (neg.f64 (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))))
(-.f64 (/.f64 (neg.f64 (.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x))) (neg.f64 (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) (/.f64 (.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x))) (neg.f64 (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))))
(-.f64 (/.f64 (.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (/.f64 (.f64 (cos.f64 (+.f64 eps x)) (sin.f64 x)) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(-.f64 (/.f64 (.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (neg.f64 (cos.f64 x))) (neg.f64 (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) (/.f64 (.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (-.f64 (PI.f64) (neg.f64 x)))) (neg.f64 (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))))
(-.f64 (/.f64 (.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (/.f64 (.f64 (cos.f64 (+.f64 eps x)) (sin.f64 x)) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
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#s(approx (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) #s(literal 1 binary64))
#s(approx (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) (fma.f64 #s(literal 0 binary64) x #s(literal 1 binary64)))
#s(approx (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) (fma.f64 (-.f64 #s(literal 0 binary64) (neg.f64 x)) x #s(literal 1 binary64)))
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#s(approx (- 1 (cos (+ (* -2 x) (PI)))) #s(literal 2 binary64))
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#s(approx (cos (+ (* -2 x) (PI))) #s(literal -1 binary64))
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#s(approx (+ (* -2 x) (PI)) (PI.f64))
#s(approx (+ (* -2 x) (PI)) (fma.f64 #s(literal -2 binary64) x (PI.f64)))
#s(approx x x)
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#s(approx (tan (+ x eps)) (tan.f64 eps))
#s(approx (tan (+ x eps)) (fma.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 eps))) (tan.f64 eps)))
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#s(approx (+ eps x) eps)
#s(approx (+ eps x) (+.f64 eps x))
#s(approx (tan (+ (PI) x)) #s(literal 0 binary64))
#s(approx (tan (+ (PI) x)) (-.f64 #s(literal 0 binary64) (neg.f64 x)))
#s(approx (tan (+ (PI) x)) (fma.f64 (-.f64 (fma.f64 #s(literal 0 binary64) x #s(literal 1 binary64)) #s(literal 0 binary64)) x #s(literal 0 binary64)))
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#s(approx (+ (PI) x) (PI.f64))
#s(approx (+ (PI) x) (+.f64 (PI.f64) x))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) (tan.f64 eps))
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#s(approx (* (cos x) (cos (+ eps x))) (cos.f64 eps))
#s(approx (* (cos x) (cos (+ eps x))) (-.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x)))
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#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (+ eps x)) (cos.f64 eps))
#s(approx (cos (+ eps x)) (-.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x)))
#s(approx (cos (+ eps x)) (fma.f64 x (-.f64 (.f64 (.f64 (cos.f64 eps) x) #s(literal -1/2 binary64)) (sin.f64 eps)) (cos.f64 eps)))
#s(approx (cos (+ eps x)) (fma.f64 x (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))) x) (sin.f64 eps)) (cos.f64 eps)))
#s(approx (+ eps x) eps)
#s(approx (+ eps x) (+.f64 eps x))
#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
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#s(approx (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))))
#s(approx (- 1 (cos (+ (* -2 x) (PI)))) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x)))))
#s(approx (cos (+ (* -2 x) (PI))) (neg.f64 (cos.f64 (+.f64 x x))))
#s(approx (+ (* -2 x) (PI)) (*.f64 #s(literal -2 binary64) x))
#s(approx (+ (* -2 x) (PI)) (*.f64 (-.f64 (/.f64 (PI.f64) x) #s(literal 2 binary64)) x))
#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
#s(approx (tan (+ x eps)) (tan.f64 (+.f64 eps x)))
#s(approx (+ eps x) x)
#s(approx (+ eps x) (*.f64 (-.f64 (/.f64 eps x) #s(literal -1 binary64)) x))
#s(approx (tan (+ (PI) x)) (tan.f64 x))
#s(approx (+ (PI) x) x)
#s(approx (+ (PI) x) (*.f64 (-.f64 (/.f64 (PI.f64) x) #s(literal -1 binary64)) x))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
#s(approx (* (cos x) (cos (+ eps x))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (cos (+ eps x)) (cos.f64 (+.f64 eps x)))
#s(approx (+ eps x) x)
#s(approx (+ eps x) (*.f64 (-.f64 (/.f64 eps x) #s(literal -1 binary64)) x))
#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
#s(approx (* (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) eps) (/.f64 (+.f64 eps eps) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))))
#s(approx (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))))
#s(approx (- 1 (cos (+ (* -2 x) (PI)))) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x)))))
#s(approx (cos (+ (* -2 x) (PI))) (neg.f64 (cos.f64 (+.f64 x x))))
#s(approx (+ (* -2 x) (PI)) (*.f64 (neg.f64 x) (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) x))))
#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
#s(approx (tan (+ x eps)) (tan.f64 (+.f64 eps x)))
#s(approx (+ eps x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
#s(approx (tan (+ (PI) x)) (tan.f64 x))
#s(approx (+ (PI) x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (PI.f64)) x) #s(literal 1 binary64))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
#s(approx (* (cos x) (cos (+ eps x))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (cos (+ eps x)) (cos.f64 (+.f64 eps x)))
#s(approx (+ eps x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) eps))
#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) (.f64 (+.f64 (fma.f64 eps (.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (cos.f64 x))) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x))) eps))
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#s(approx (tan eps) eps)
#s(approx (tan eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))
#s(approx (tan eps) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 eps eps) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 eps eps) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx eps eps)
#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) (-.f64 (tan.f64 x) (tan.f64 x)))
#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) eps (-.f64 (tan.f64 x) (tan.f64 x))))
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#s(approx (tan (+ x eps)) (tan.f64 x))
#s(approx (tan (+ x eps)) (fma.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)))
#s(approx (tan (+ x eps)) (fma.f64 (+.f64 (fma.f64 eps (.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (cos.f64 x))) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x))) eps (tan.f64 x)))
#s(approx (tan (+ x eps)) (fma.f64 (+.f64 (fma.f64 (fma.f64 (neg.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64)))) #s(literal -1/6 binary64))) eps (.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (cos.f64 x)))) eps #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x))) eps (tan.f64 x)))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) (/.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) (.f64 (fma.f64 (/.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (tan.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) eps))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) (.f64 (fma.f64 (-.f64 (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (+.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)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) eps) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (tan.f64 x))) eps (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) eps))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) (.f64 (fma.f64 (-.f64 (.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (.f64 (fma.f64 (neg.f64 (sin.f64 x)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (+.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)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (cos.f64 x)) (.f64 (neg.f64 (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (tan.f64 x))) #s(literal -1/3 binary64))) eps)) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) eps) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (tan.f64 x))) eps (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) eps))
#s(approx (sin eps) eps)
#s(approx (sin eps) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (sin eps) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 eps eps) #s(literal -1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (sin eps) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 eps eps) #s(literal 1/120 binary64)) (.f64 eps eps) #s(literal -1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (* (cos x) (cos (+ eps x))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
#s(approx (* (cos x) (cos (+ eps x))) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))))
#s(approx (* (cos x) (cos (+ eps x))) (fma.f64 (fma.f64 (neg.f64 (cos.f64 x)) (sin.f64 x) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) eps) #s(literal -1/2 binary64))) eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
#s(approx (* (cos x) (cos (+ eps x))) (fma.f64 (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) (sin.f64 x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal -1/2 binary64))) (.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))) eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
#s(approx (cos (+ eps x)) (cos.f64 x))
#s(approx (cos (+ eps x)) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) eps)))
#s(approx (cos (+ eps x)) (fma.f64 eps (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x)))
#s(approx (cos (+ eps x)) (fma.f64 eps (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) (sin.f64 x)) (cos.f64 x)))
#s(approx (tan eps) (tan.f64 eps))
#s(approx (+ eps x) (*.f64 (-.f64 (/.f64 x eps) #s(literal -1 binary64)) eps))
#s(approx (sin eps) (sin.f64 eps))
#s(approx (+ eps x) (*.f64 (-.f64 (/.f64 x eps) #s(literal -1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
#s(approx (tan (+ x eps)) (tan.f64 (+.f64 eps x)))
#s(approx (+ eps x) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
#s(approx (* (cos x) (cos (+ eps x))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (cos (+ eps x)) (cos.f64 (+.f64 eps x)))
#s(approx (+ eps x) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))

eval59.0ms (0.5%)

Memory: -2.1MiB live, 45.1MiB allocated; 5ms collecting garbage
Compiler: Compiled 3 911 to 1 469 computations (62.4% saved)

prune14.0ms (0.1%)

Memory

18.3MiB live, 18.3MiB allocated; 0ms collecting garbage

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	302	14	316
Fresh	0	0	0
Picked	2	2	4
Done	1	0	1
Total	305	16	321

Accuracy

100.0%

Counts

321 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(/.f64 (sin.f64 eps) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 eps x))))
	99.9%	(/.f64 (sin.f64 eps) (*.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 eps x))))
	99.9%	(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (sin.f64 (+.f64 (neg.f64 (+.f64 eps x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
▶	100.0%	(/.f64 (sin.f64 eps) (.f64 (cos.f64 x) #s(approx (cos (+ eps x)) (fma.f64 eps (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x)))))
▶	99.9%	(/.f64 #s(approx (sin eps) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	99.9%	(/.f64 #s(approx (sin eps) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	99.6%	#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) (/.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) eps))
▶	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))) eps))
✓	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))))) eps))
▶	98.6%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) #s(approx (cos (+ ( -2 x) (PI))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) x #s(literal -1 binary64))))) eps))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (/ 2 (- 1 (cos (+ ( -2 x) (PI))))) (fma.f64 (-.f64 #s(literal 0 binary64) (neg.f64 x)) x #s(literal 1 binary64))) eps))
	2.9%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 (+.f64 eps (PI.f64)) (PI.f64))))
✓	98.3%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
	98.3%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps)))
▶	98.3%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) eps))

Compiler

Compiled 440 to 432 computations (1.8% saved)

series43.0ms (0.4%)

Memory

-6.6MiB live, 40.7MiB allocated; 2ms collecting garbage

Counts

42 → 174

Calls

Call 1

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

Outputs
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (cos eps)))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (+ (cos eps) (* -1 (* x (sin eps))))))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos eps)))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos eps) (* -1 (* x (sin eps))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) #s(hole binary64 (+ 1 (* -1/2 (pow eps 2)))))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1 (* eps x)) (* -1/2 (pow eps 2))))))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (- (* 1/4 (pow eps 2)) 1/2))))))))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (- (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2))) 1/2))))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (* -1/2 eps)))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))))
#s(approx (* (cos x) eps) #s(hole binary64 eps))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (* (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) eps) #s(hole binary64 (* 2 (/ eps (- 1 (cos (PI)))))))
#s(approx (* (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) eps) #s(hole binary64 (+ (* 2 (/ eps (- 1 (cos (PI))))) (* 4 (/ (* eps (* x (sin (PI)))) (pow (- 1 (cos (PI))) 2))))))
#s(approx (* (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) eps) #s(hole binary64 (+ (* 2 (/ eps (- 1 (cos (PI))))) (* x (+ (* -2 (* x (+ (* -4 (/ (* eps (pow (sin (PI)) 2)) (pow (- 1 (cos (PI))) 3))) (* 2 (/ (* eps (cos (PI))) (pow (- 1 (cos (PI))) 2)))))) (* 4 (/ (* eps (sin (PI))) (pow (- 1 (cos (PI))) 2))))))))
#s(approx (* (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) eps) #s(hole binary64 (+ (* 2 (/ eps (- 1 (cos (PI))))) (* x (+ (* 4 (/ (* eps (sin (PI))) (pow (- 1 (cos (PI))) 2))) (* x (+ (* -2 (* x (+ (* 4/3 (/ (* eps (sin (PI))) (pow (- 1 (cos (PI))) 2))) (+ (* 2 (/ (* (sin (PI)) (+ (* -4 (/ (* eps (pow (sin (PI)) 2)) (pow (- 1 (cos (PI))) 3))) (* 2 (/ (* eps (cos (PI))) (pow (- 1 (cos (PI))) 2))))) (- 1 (cos (PI))))) (* 4 (/ (* eps (* (cos (PI)) (sin (PI)))) (pow (- 1 (cos (PI))) 3))))))) (* -2 (+ (* -4 (/ (* eps (pow (sin (PI)) 2)) (pow (- 1 (cos (PI))) 3))) (* 2 (/ (* eps (cos (PI))) (pow (- 1 (cos (PI))) 2))))))))))))
#s(approx (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) #s(hole binary64 (/ 2 (- 1 (cos (PI))))))
#s(approx (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) #s(hole binary64 (+ (* 4 (/ (* x (sin (PI))) (pow (- 1 (cos (PI))) 2))) (* 2 (/ 1 (- 1 (cos (PI))))))))
#s(approx (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) #s(hole binary64 (+ (* x (- (* -1 (* x (+ (* -8 (/ (pow (sin (PI)) 2) (pow (- 1 (cos (PI))) 3))) (* 4 (/ (cos (PI)) (pow (- 1 (cos (PI))) 2)))))) (* -4 (/ (sin (PI)) (pow (- 1 (cos (PI))) 2))))) (* 2 (/ 1 (- 1 (cos (PI))))))))
#s(approx (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* 2 (/ (* (sin (PI)) (+ (* -8 (/ (pow (sin (PI)) 2) (pow (- 1 (cos (PI))) 3))) (* 4 (/ (cos (PI)) (pow (- 1 (cos (PI))) 2))))) (- 1 (cos (PI))))) (+ (* 8/3 (/ (sin (PI)) (pow (- 1 (cos (PI))) 2))) (* 8 (/ (* (cos (PI)) (sin (PI))) (pow (- 1 (cos (PI))) 3))))))) (+ (* -8 (/ (pow (sin (PI)) 2) (pow (- 1 (cos (PI))) 3))) (* 4 (/ (cos (PI)) (pow (- 1 (cos (PI))) 2)))))) (* -4 (/ (sin (PI)) (pow (- 1 (cos (PI))) 2))))) (* 2 (/ 1 (- 1 (cos (PI))))))))
#s(approx (- 1 (cos (+ (* -2 x) (PI)))) #s(hole binary64 (- 1 (cos (PI)))))
#s(approx (- 1 (cos (+ (* -2 x) (PI)))) #s(hole binary64 (- (+ 1 (* -2 (* x (sin (PI))))) (cos (PI)))))
#s(approx (- 1 (cos (+ (* -2 x) (PI)))) #s(hole binary64 (- (+ 1 (* x (+ (* -2 (sin (PI))) (* 2 (* x (cos (PI))))))) (cos (PI)))))
#s(approx (- 1 (cos (+ (* -2 x) (PI)))) #s(hole binary64 (- (+ 1 (* x (+ (* -2 (sin (PI))) (* x (- (* 4/3 (* x (sin (PI)))) (* -2 (cos (PI)))))))) (cos (PI)))))
#s(approx (cos (+ (* -2 x) (PI))) #s(hole binary64 (cos (PI))))
#s(approx (cos (+ (* -2 x) (PI))) #s(hole binary64 (+ (cos (PI)) (* 2 (* x (sin (PI)))))))
#s(approx (cos (+ (* -2 x) (PI))) #s(hole binary64 (+ (cos (PI)) (* x (- (* -2 (* x (cos (PI)))) (* -2 (sin (PI))))))))
#s(approx (cos (+ (* -2 x) (PI))) #s(hole binary64 (+ (cos (PI)) (* x (- (* x (+ (* -2 (cos (PI))) (* -4/3 (* x (sin (PI)))))) (* -2 (sin (PI))))))))
#s(approx (+ (* (+ (* 2 x) 0) x) -1) #s(hole binary64 -1))
#s(approx (+ (* (+ (* 2 x) 0) x) -1) #s(hole binary64 (- (* 2 (pow x 2)) 1)))
#s(approx (+ (* 2 x) 0) #s(hole binary64 (* 2 x)))
#s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) #s(hole binary64 eps))
#s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) #s(hole binary64 (+ eps (* eps (pow x 2)))))
#s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* -2 (* (pow x 2) (+ (* -1/2 eps) (* 1/6 eps)))))))))
#s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* (pow x 2) (+ (* -2 (* (pow x 2) (+ (* -1/2 eps) (+ (* -1/45 eps) (* 1/3 eps))))) (* -2 (+ (* -1/2 eps) (* 1/6 eps))))))))))
#s(approx (/ 2 (- 1 (neg (cos (+ x x))))) #s(hole binary64 1))
#s(approx (/ 2 (- 1 (neg (cos (+ x x))))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (/ 2 (- 1 (neg (cos (+ x x))))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (/ 2 (- 1 (neg (cos (+ x x))))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (- 1 (neg (cos (+ x x)))) #s(hole binary64 2))
#s(approx (- 1 (neg (cos (+ x x)))) #s(hole binary64 (+ 2 (* -2 (pow x 2)))))
#s(approx (- 1 (neg (cos (+ x x)))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (- 1 (neg (cos (+ x x)))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (neg (cos (+ x x))) #s(hole binary64 -1))
#s(approx (neg (cos (+ x x))) #s(hole binary64 (- (* 2 (pow x 2)) 1)))
#s(approx (neg (cos (+ x x))) #s(hole binary64 (- (* (pow x 2) (+ 2 (* -2/3 (pow x 2)))) 1)))
#s(approx (neg (cos (+ x x))) #s(hole binary64 (- (* (pow x 2) (+ 2 (* (pow x 2) (- (* 4/45 (pow x 2)) 2/3)))) 1)))
#s(approx (cos (+ x x)) #s(hole binary64 1))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (/ (sin eps) (* (cos x) (cos (+ eps x))))))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (* (cos x) (cos (+ eps x)))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos (+ eps x))))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
#s(approx (* (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) eps) #s(hole binary64 (* 2 (/ eps (- 1 (cos (- (PI) (* 2 x))))))))
#s(approx (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) #s(hole binary64 (/ 2 (- 1 (cos (- (PI) (* 2 x)))))))
#s(approx (- 1 (cos (+ (* -2 x) (PI)))) #s(hole binary64 (- 1 (cos (- (PI) (* 2 x))))))
#s(approx (cos (+ (* -2 x) (PI))) #s(hole binary64 (cos (- (PI) (* 2 x)))))
#s(approx (+ (* (+ (* 2 x) 0) x) -1) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (+ (* (+ (* 2 x) 0) x) -1) #s(hole binary64 (* (pow x 2) (- 2 (/ 1 (pow x 2))))))
#s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) #s(hole binary64 (* 2 (/ eps (+ 1 (cos (* 2 x)))))))
#s(approx (/ 2 (- 1 (neg (cos (+ x x))))) #s(hole binary64 (/ 2 (+ 1 (cos (* 2 x))))))
#s(approx (- 1 (neg (cos (+ x x)))) #s(hole binary64 (+ 1 (cos (* 2 x)))))
#s(approx (neg (cos (+ x x))) #s(hole binary64 (* -1 (cos (* 2 x)))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (* (cos x) (cos (- eps (* -1 x))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos (- eps (* -1 x)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))))
#s(approx (* (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) eps) #s(hole binary64 (* 2 (/ eps (- 1 (cos (+ (PI) (* -2 x))))))))
#s(approx (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) #s(hole binary64 (/ 2 (- 1 (cos (+ (PI) (* -2 x)))))))
#s(approx (- 1 (cos (+ (* -2 x) (PI)))) #s(hole binary64 (- 1 (cos (+ (PI) (* -2 x))))))
#s(approx (cos (+ (* -2 x) (PI))) #s(hole binary64 (cos (+ (PI) (* -2 x)))))
#s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) #s(hole binary64 (* 2 (/ eps (+ 1 (cos (neg (* -2 x))))))))
#s(approx (/ 2 (- 1 (neg (cos (+ x x))))) #s(hole binary64 (/ 2 (+ 1 (cos (neg (* -2 x)))))))
#s(approx (- 1 (neg (cos (+ x x)))) #s(hole binary64 (+ 1 (cos (neg (* -2 x))))))
#s(approx (neg (cos (+ x x))) #s(hole binary64 (* -1 (cos (neg (* -2 x))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (/ eps (pow (cos x) 2))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3))))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))))
#s(approx (sin eps) #s(hole binary64 eps))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (pow (cos x) 2)))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2))))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2))))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos x)))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos x) (* -1 (* eps (sin x))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) #s(hole binary64 (+ (cos x) (* -1 (* eps (sin x))))))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (tan eps) #s(hole binary64 eps))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))))
#s(approx (* (+ (* -1/6 (* eps eps)) 1) eps) #s(hole binary64 eps))
#s(approx (* (+ (* -1/6 (* eps eps)) 1) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (+ (* -1/6 (* eps eps)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/6 (* eps eps)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) #s(hole binary64 (* -1/2 (* (pow eps 2) (cos x)))))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) #s(hole binary64 (* (pow eps 2) (- (+ (* -1/2 (cos x)) (/ (cos x) (pow eps 2))) (/ (sin x) eps)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (tan eps) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (* (+ (* -1/6 (* eps eps)) 1) eps) #s(hole binary64 (* -1/6 (pow eps 3))))
#s(approx (* (+ (* -1/6 (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 3) (- (/ 1 (pow eps 2)) 1/6))))
#s(approx (+ (* -1/6 (* eps eps)) 1) #s(hole binary64 (* -1/6 (pow eps 2))))
#s(approx (+ (* -1/6 (* eps eps)) 1) #s(hole binary64 (* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (/ (sin eps) (* (cos x) (cos (- x (* -1 eps)))))))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (* (cos x) (cos (- x (* -1 eps))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos (- x (* -1 eps)))))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (sin x) (* -1 (/ (cos x) eps))) eps)) (* -1/2 (cos x))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))))
#s(approx (* (+ (* -1/6 (* eps eps)) 1) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- 1/6 (/ 1 (pow eps 2)))))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	eps	@	0	((/ (sin eps) (* (cos x) (cos (+ eps x)))) (sin eps) eps (* (cos x) (cos (+ eps x))) (cos x) x (cos (+ eps x)) (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) (- (* (* (cos x) eps) -1/2) (sin x)) (* (* (cos x) eps) -1/2) (* (cos x) eps) -1/2 (sin x) (- (tan (+ x eps)) (tan x)) (tan eps) (- (tan (+ x eps)) (tan x)) (* (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) eps) (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) 2 (- 1 (cos (+ (* -2 x) (PI)))) 1 (cos (+ (* -2 x) (PI))) (+ (* (+ (* 2 x) 0) x) -1) (+ (* 2 x) 0) 0 -1 (- (tan (+ x eps)) (tan x)) (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (/ 2 (- 1 (neg (cos (+ x x))))) (- 1 (neg (cos (+ x x)))) (neg (cos (+ x x))) (cos (+ x x)) (+ x x) (/ (sin eps) (* (cos x) (cos (+ eps x)))) (sin eps) (* (+ (* -1/6 (* eps eps)) 1) eps) (+ (* -1/6 (* eps eps)) 1) -1/6 (* eps eps) (* (cos x) (cos (+ eps x))) (cos (+ eps x)) (+ eps x))
6.0ms	x	@	0	((/ (sin eps) (* (cos x) (cos (+ eps x)))) (sin eps) eps (* (cos x) (cos (+ eps x))) (cos x) x (cos (+ eps x)) (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) (- (* (* (cos x) eps) -1/2) (sin x)) (* (* (cos x) eps) -1/2) (* (cos x) eps) -1/2 (sin x) (- (tan (+ x eps)) (tan x)) (tan eps) (- (tan (+ x eps)) (tan x)) (* (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) eps) (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) 2 (- 1 (cos (+ (* -2 x) (PI)))) 1 (cos (+ (* -2 x) (PI))) (+ (* (+ (* 2 x) 0) x) -1) (+ (* 2 x) 0) 0 -1 (- (tan (+ x eps)) (tan x)) (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (/ 2 (- 1 (neg (cos (+ x x))))) (- 1 (neg (cos (+ x x)))) (neg (cos (+ x x))) (cos (+ x x)) (+ x x) (/ (sin eps) (* (cos x) (cos (+ eps x)))) (sin eps) (* (+ (* -1/6 (* eps eps)) 1) eps) (+ (* -1/6 (* eps eps)) 1) -1/6 (* eps eps) (* (cos x) (cos (+ eps x))) (cos (+ eps x)) (+ eps x))
6.0ms	eps	@	-inf	((/ (sin eps) (* (cos x) (cos (+ eps x)))) (sin eps) eps (* (cos x) (cos (+ eps x))) (cos x) x (cos (+ eps x)) (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) (- (* (* (cos x) eps) -1/2) (sin x)) (* (* (cos x) eps) -1/2) (* (cos x) eps) -1/2 (sin x) (- (tan (+ x eps)) (tan x)) (tan eps) (- (tan (+ x eps)) (tan x)) (* (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) eps) (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) 2 (- 1 (cos (+ (* -2 x) (PI)))) 1 (cos (+ (* -2 x) (PI))) (+ (* (+ (* 2 x) 0) x) -1) (+ (* 2 x) 0) 0 -1 (- (tan (+ x eps)) (tan x)) (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (/ 2 (- 1 (neg (cos (+ x x))))) (- 1 (neg (cos (+ x x)))) (neg (cos (+ x x))) (cos (+ x x)) (+ x x) (/ (sin eps) (* (cos x) (cos (+ eps x)))) (sin eps) (* (+ (* -1/6 (* eps eps)) 1) eps) (+ (* -1/6 (* eps eps)) 1) -1/6 (* eps eps) (* (cos x) (cos (+ eps x))) (cos (+ eps x)) (+ eps x))
6.0ms	eps	@	inf	((/ (sin eps) (* (cos x) (cos (+ eps x)))) (sin eps) eps (* (cos x) (cos (+ eps x))) (cos x) x (cos (+ eps x)) (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) (- (* (* (cos x) eps) -1/2) (sin x)) (* (* (cos x) eps) -1/2) (* (cos x) eps) -1/2 (sin x) (- (tan (+ x eps)) (tan x)) (tan eps) (- (tan (+ x eps)) (tan x)) (* (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) eps) (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) 2 (- 1 (cos (+ (* -2 x) (PI)))) 1 (cos (+ (* -2 x) (PI))) (+ (* (+ (* 2 x) 0) x) -1) (+ (* 2 x) 0) 0 -1 (- (tan (+ x eps)) (tan x)) (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (/ 2 (- 1 (neg (cos (+ x x))))) (- 1 (neg (cos (+ x x)))) (neg (cos (+ x x))) (cos (+ x x)) (+ x x) (/ (sin eps) (* (cos x) (cos (+ eps x)))) (sin eps) (* (+ (* -1/6 (* eps eps)) 1) eps) (+ (* -1/6 (* eps eps)) 1) -1/6 (* eps eps) (* (cos x) (cos (+ eps x))) (cos (+ eps x)) (+ eps x))
5.0ms	x	@	-inf	((/ (sin eps) (* (cos x) (cos (+ eps x)))) (sin eps) eps (* (cos x) (cos (+ eps x))) (cos x) x (cos (+ eps x)) (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) (- (* (* (cos x) eps) -1/2) (sin x)) (* (* (cos x) eps) -1/2) (* (cos x) eps) -1/2 (sin x) (- (tan (+ x eps)) (tan x)) (tan eps) (- (tan (+ x eps)) (tan x)) (* (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) eps) (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) 2 (- 1 (cos (+ (* -2 x) (PI)))) 1 (cos (+ (* -2 x) (PI))) (+ (* (+ (* 2 x) 0) x) -1) (+ (* 2 x) 0) 0 -1 (- (tan (+ x eps)) (tan x)) (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (/ 2 (- 1 (neg (cos (+ x x))))) (- 1 (neg (cos (+ x x)))) (neg (cos (+ x x))) (cos (+ x x)) (+ x x) (/ (sin eps) (* (cos x) (cos (+ eps x)))) (sin eps) (* (+ (* -1/6 (* eps eps)) 1) eps) (+ (* -1/6 (* eps eps)) 1) -1/6 (* eps eps) (* (cos x) (cos (+ eps x))) (cos (+ eps x)) (+ eps x))

rewrite313.0ms (2.7%)

Memory

6.6MiB live, 234.9MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	862	4558
0	910	3940
1	2936	3768
0	8406	3604

Stop Event

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

Counts

216 → 480

Calls

Call 1

Inputs
(/.f64 (sin.f64 eps) (.f64 (cos.f64 x) #s(approx (cos (+ eps x)) (fma.f64 eps (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x)))))
(sin.f64 eps)
eps
(.f64 (cos.f64 x) #s(approx (cos (+ eps x)) (fma.f64 eps (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x))))
(cos.f64 x)
x
#s(approx (cos (+ eps x)) (fma.f64 eps (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x)))
(fma.f64 eps (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x))
(-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x))
(.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64))
(*.f64 (cos.f64 x) eps)
#s(literal -1/2 binary64)
(sin.f64 x)
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) eps))
#s(approx (tan eps) eps)
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) #s(approx (cos (+ ( -2 x) (PI))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) x #s(literal -1 binary64))))) eps))
(.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) #s(approx (cos (+ ( -2 x) (PI))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) x #s(literal -1 binary64))))) eps)
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) #s(approx (cos (+ (* -2 x) (PI))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) x #s(literal -1 binary64)))))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) #s(approx (cos (+ (* -2 x) (PI))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) x #s(literal -1 binary64))))
#s(literal 1 binary64)
#s(approx (cos (+ (* -2 x) (PI))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) x #s(literal -1 binary64)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
#s(literal 0 binary64)
#s(literal -1 binary64)
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))) eps))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))) eps)
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x)))))
(-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))
(neg.f64 (cos.f64 (+.f64 x x)))
(cos.f64 (+.f64 x x))
(+.f64 x x)
(/.f64 #s(approx (sin eps) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
#s(approx (sin eps) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps))
(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)
(fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 eps eps)
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(cos.f64 (+.f64 eps x))
(+.f64 eps x)
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (cos eps)))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (+ (cos eps) (* -1 (* x (sin eps))))))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos eps)))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos eps) (* -1 (* x (sin eps))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) #s(hole binary64 (+ 1 (* -1/2 (pow eps 2)))))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1 (* eps x)) (* -1/2 (pow eps 2))))))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (- (* 1/4 (pow eps 2)) 1/2))))))))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (- (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2))) 1/2))))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (* -1/2 eps)))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))))
#s(approx (* (cos x) eps) #s(hole binary64 eps))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (* (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) eps) #s(hole binary64 (* 2 (/ eps (- 1 (cos (PI)))))))
#s(approx (* (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) eps) #s(hole binary64 (+ (* 2 (/ eps (- 1 (cos (PI))))) (* 4 (/ (* eps (* x (sin (PI)))) (pow (- 1 (cos (PI))) 2))))))
#s(approx (* (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) eps) #s(hole binary64 (+ (* 2 (/ eps (- 1 (cos (PI))))) (* x (+ (* -2 (* x (+ (* -4 (/ (* eps (pow (sin (PI)) 2)) (pow (- 1 (cos (PI))) 3))) (* 2 (/ (* eps (cos (PI))) (pow (- 1 (cos (PI))) 2)))))) (* 4 (/ (* eps (sin (PI))) (pow (- 1 (cos (PI))) 2))))))))
#s(approx (* (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) eps) #s(hole binary64 (+ (* 2 (/ eps (- 1 (cos (PI))))) (* x (+ (* 4 (/ (* eps (sin (PI))) (pow (- 1 (cos (PI))) 2))) (* x (+ (* -2 (* x (+ (* 4/3 (/ (* eps (sin (PI))) (pow (- 1 (cos (PI))) 2))) (+ (* 2 (/ (* (sin (PI)) (+ (* -4 (/ (* eps (pow (sin (PI)) 2)) (pow (- 1 (cos (PI))) 3))) (* 2 (/ (* eps (cos (PI))) (pow (- 1 (cos (PI))) 2))))) (- 1 (cos (PI))))) (* 4 (/ (* eps (* (cos (PI)) (sin (PI)))) (pow (- 1 (cos (PI))) 3))))))) (* -2 (+ (* -4 (/ (* eps (pow (sin (PI)) 2)) (pow (- 1 (cos (PI))) 3))) (* 2 (/ (* eps (cos (PI))) (pow (- 1 (cos (PI))) 2))))))))))))
#s(approx (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) #s(hole binary64 (/ 2 (- 1 (cos (PI))))))
#s(approx (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) #s(hole binary64 (+ (* 4 (/ (* x (sin (PI))) (pow (- 1 (cos (PI))) 2))) (* 2 (/ 1 (- 1 (cos (PI))))))))
#s(approx (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) #s(hole binary64 (+ (* x (- (* -1 (* x (+ (* -8 (/ (pow (sin (PI)) 2) (pow (- 1 (cos (PI))) 3))) (* 4 (/ (cos (PI)) (pow (- 1 (cos (PI))) 2)))))) (* -4 (/ (sin (PI)) (pow (- 1 (cos (PI))) 2))))) (* 2 (/ 1 (- 1 (cos (PI))))))))
#s(approx (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* 2 (/ (* (sin (PI)) (+ (* -8 (/ (pow (sin (PI)) 2) (pow (- 1 (cos (PI))) 3))) (* 4 (/ (cos (PI)) (pow (- 1 (cos (PI))) 2))))) (- 1 (cos (PI))))) (+ (* 8/3 (/ (sin (PI)) (pow (- 1 (cos (PI))) 2))) (* 8 (/ (* (cos (PI)) (sin (PI))) (pow (- 1 (cos (PI))) 3))))))) (+ (* -8 (/ (pow (sin (PI)) 2) (pow (- 1 (cos (PI))) 3))) (* 4 (/ (cos (PI)) (pow (- 1 (cos (PI))) 2)))))) (* -4 (/ (sin (PI)) (pow (- 1 (cos (PI))) 2))))) (* 2 (/ 1 (- 1 (cos (PI))))))))
#s(approx (- 1 (cos (+ (* -2 x) (PI)))) #s(hole binary64 (- 1 (cos (PI)))))
#s(approx (- 1 (cos (+ (* -2 x) (PI)))) #s(hole binary64 (- (+ 1 (* -2 (* x (sin (PI))))) (cos (PI)))))
#s(approx (- 1 (cos (+ (* -2 x) (PI)))) #s(hole binary64 (- (+ 1 (* x (+ (* -2 (sin (PI))) (* 2 (* x (cos (PI))))))) (cos (PI)))))
#s(approx (- 1 (cos (+ (* -2 x) (PI)))) #s(hole binary64 (- (+ 1 (* x (+ (* -2 (sin (PI))) (* x (- (* 4/3 (* x (sin (PI)))) (* -2 (cos (PI)))))))) (cos (PI)))))
#s(approx (cos (+ (* -2 x) (PI))) #s(hole binary64 (cos (PI))))
#s(approx (cos (+ (* -2 x) (PI))) #s(hole binary64 (+ (cos (PI)) (* 2 (* x (sin (PI)))))))
#s(approx (cos (+ (* -2 x) (PI))) #s(hole binary64 (+ (cos (PI)) (* x (- (* -2 (* x (cos (PI)))) (* -2 (sin (PI))))))))
#s(approx (cos (+ (* -2 x) (PI))) #s(hole binary64 (+ (cos (PI)) (* x (- (* x (+ (* -2 (cos (PI))) (* -4/3 (* x (sin (PI)))))) (* -2 (sin (PI))))))))
#s(approx (+ (* (+ (* 2 x) 0) x) -1) #s(hole binary64 -1))
#s(approx (+ (* (+ (* 2 x) 0) x) -1) #s(hole binary64 (- (* 2 (pow x 2)) 1)))
#s(approx (+ (* 2 x) 0) #s(hole binary64 (* 2 x)))
#s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) #s(hole binary64 eps))
#s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) #s(hole binary64 (+ eps (* eps (pow x 2)))))
#s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* -2 (* (pow x 2) (+ (* -1/2 eps) (* 1/6 eps)))))))))
#s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* (pow x 2) (+ (* -2 (* (pow x 2) (+ (* -1/2 eps) (+ (* -1/45 eps) (* 1/3 eps))))) (* -2 (+ (* -1/2 eps) (* 1/6 eps))))))))))
#s(approx (/ 2 (- 1 (neg (cos (+ x x))))) #s(hole binary64 1))
#s(approx (/ 2 (- 1 (neg (cos (+ x x))))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (/ 2 (- 1 (neg (cos (+ x x))))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (/ 2 (- 1 (neg (cos (+ x x))))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (- 1 (neg (cos (+ x x)))) #s(hole binary64 2))
#s(approx (- 1 (neg (cos (+ x x)))) #s(hole binary64 (+ 2 (* -2 (pow x 2)))))
#s(approx (- 1 (neg (cos (+ x x)))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (- 1 (neg (cos (+ x x)))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (neg (cos (+ x x))) #s(hole binary64 -1))
#s(approx (neg (cos (+ x x))) #s(hole binary64 (- (* 2 (pow x 2)) 1)))
#s(approx (neg (cos (+ x x))) #s(hole binary64 (- (* (pow x 2) (+ 2 (* -2/3 (pow x 2)))) 1)))
#s(approx (neg (cos (+ x x))) #s(hole binary64 (- (* (pow x 2) (+ 2 (* (pow x 2) (- (* 4/45 (pow x 2)) 2/3)))) 1)))
#s(approx (cos (+ x x)) #s(hole binary64 1))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (/ (sin eps) (* (cos x) (cos (+ eps x))))))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (* (cos x) (cos (+ eps x)))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos (+ eps x))))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
#s(approx (* (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) eps) #s(hole binary64 (* 2 (/ eps (- 1 (cos (- (PI) (* 2 x))))))))
#s(approx (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) #s(hole binary64 (/ 2 (- 1 (cos (- (PI) (* 2 x)))))))
#s(approx (- 1 (cos (+ (* -2 x) (PI)))) #s(hole binary64 (- 1 (cos (- (PI) (* 2 x))))))
#s(approx (cos (+ (* -2 x) (PI))) #s(hole binary64 (cos (- (PI) (* 2 x)))))
#s(approx (+ (* (+ (* 2 x) 0) x) -1) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (+ (* (+ (* 2 x) 0) x) -1) #s(hole binary64 (* (pow x 2) (- 2 (/ 1 (pow x 2))))))
#s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) #s(hole binary64 (* 2 (/ eps (+ 1 (cos (* 2 x)))))))
#s(approx (/ 2 (- 1 (neg (cos (+ x x))))) #s(hole binary64 (/ 2 (+ 1 (cos (* 2 x))))))
#s(approx (- 1 (neg (cos (+ x x)))) #s(hole binary64 (+ 1 (cos (* 2 x)))))
#s(approx (neg (cos (+ x x))) #s(hole binary64 (* -1 (cos (* 2 x)))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (* (cos x) (cos (- eps (* -1 x))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos (- eps (* -1 x)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))))
#s(approx (* (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) eps) #s(hole binary64 (* 2 (/ eps (- 1 (cos (+ (PI) (* -2 x))))))))
#s(approx (/ 2 (- 1 (cos (+ (* -2 x) (PI))))) #s(hole binary64 (/ 2 (- 1 (cos (+ (PI) (* -2 x)))))))
#s(approx (- 1 (cos (+ (* -2 x) (PI)))) #s(hole binary64 (- 1 (cos (+ (PI) (* -2 x))))))
#s(approx (cos (+ (* -2 x) (PI))) #s(hole binary64 (cos (+ (PI) (* -2 x)))))
#s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) #s(hole binary64 (* 2 (/ eps (+ 1 (cos (neg (* -2 x))))))))
#s(approx (/ 2 (- 1 (neg (cos (+ x x))))) #s(hole binary64 (/ 2 (+ 1 (cos (neg (* -2 x)))))))
#s(approx (- 1 (neg (cos (+ x x)))) #s(hole binary64 (+ 1 (cos (neg (* -2 x))))))
#s(approx (neg (cos (+ x x))) #s(hole binary64 (* -1 (cos (neg (* -2 x))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (/ eps (pow (cos x) 2))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3))))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))))
#s(approx (sin eps) #s(hole binary64 eps))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (pow (cos x) 2)))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2))))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2))))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos x)))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos x) (* -1 (* eps (sin x))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) #s(hole binary64 (+ (cos x) (* -1 (* eps (sin x))))))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (tan eps) #s(hole binary64 eps))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))))
#s(approx (* (+ (* -1/6 (* eps eps)) 1) eps) #s(hole binary64 eps))
#s(approx (* (+ (* -1/6 (* eps eps)) 1) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (+ (* -1/6 (* eps eps)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/6 (* eps eps)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) #s(hole binary64 (* -1/2 (* (pow eps 2) (cos x)))))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) #s(hole binary64 (* (pow eps 2) (- (+ (* -1/2 (cos x)) (/ (cos x) (pow eps 2))) (/ (sin x) eps)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (tan eps) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (* (+ (* -1/6 (* eps eps)) 1) eps) #s(hole binary64 (* -1/6 (pow eps 3))))
#s(approx (* (+ (* -1/6 (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 3) (- (/ 1 (pow eps 2)) 1/6))))
#s(approx (+ (* -1/6 (* eps eps)) 1) #s(hole binary64 (* -1/6 (pow eps 2))))
#s(approx (+ (* -1/6 (* eps eps)) 1) #s(hole binary64 (* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (/ (sin eps) (* (cos x) (cos (- x (* -1 eps)))))))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (* (cos x) (cos (- x (* -1 eps))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos (- x (* -1 eps)))))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (sin x) (* -1 (/ (cos x) eps))) eps)) (* -1/2 (cos x))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))))
#s(approx (* (+ (* -1/6 (* eps eps)) 1) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- 1/6 (/ 1 (pow eps 2)))))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))

Outputs
(/.f64 (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 x))) (neg.f64 #s(approx (cos (+ eps x)) (fma.f64 eps (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (neg.f64 (.f64 (neg.f64 #s(approx (cos (+ eps x)) (fma.f64 eps (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x)))) (cos.f64 x))))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) #s(approx (cos (+ eps x)) (fma.f64 eps (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x))))
(/.f64 (neg.f64 (sin.f64 eps)) (.f64 (neg.f64 #s(approx (cos (+ eps x)) (fma.f64 eps (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x)))) (cos.f64 x)))
(/.f64 (sin.f64 eps) (.f64 (cos.f64 x) #s(approx (cos (+ eps x)) (fma.f64 eps (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x)))))
(neg.f64 (/.f64 (sin.f64 eps) (.f64 (neg.f64 #s(approx (cos (+ eps x)) (fma.f64 eps (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x)))) (cos.f64 x))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (.f64 (cos.f64 x) #s(approx (cos (+ eps x)) (fma.f64 eps (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x))))))
(sin.f64 eps)
eps
(.f64 (cos.f64 x) #s(approx (cos (+ eps x)) (fma.f64 eps (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x))))
(.f64 #s(approx (cos (+ eps x)) (fma.f64 eps (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x))) (cos.f64 x))
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (.f64 (cos.f64 (.f64 #s(literal 0 binary64) x)) (cos.f64 x)) (.f64 (sin.f64 (.f64 #s(literal 0 binary64) x)) (neg.f64 (sin.f64 x))))
(cos.f64 (neg.f64 x))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 x)
(+.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
x
#s(approx (cos (+ eps x)) (fma.f64 eps (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x)))
(fma.f64 (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps (cos.f64 x))
(fma.f64 eps (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x))
(-.f64 (cos.f64 x) (.f64 (neg.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x))) eps))
(-.f64 (cos.f64 x) (.f64 (neg.f64 eps) (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x))))
(+.f64 (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps) (cos.f64 x))
(+.f64 (cos.f64 x) (.f64 (neg.f64 (neg.f64 eps)) (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x))))
(+.f64 (cos.f64 x) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
(-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x))
(.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x))
(.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))
(neg.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64)))
(neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) eps)))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
#s(literal -1/2 binary64)
(sin.f64 x)
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) eps))
#s(approx (tan eps) eps)
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (.f64 #s(literal 2 binary64) eps) (-.f64 #s(literal 1 binary64) #s(approx (cos (+ ( -2 x) (PI))) (fma.f64 (+.f64 x x) x #s(literal -1 binary64))))))
(.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) #s(approx (cos (+ ( -2 x) (PI))) (fma.f64 (+.f64 x x) x #s(literal -1 binary64))))) eps)
(.f64 eps (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) #s(approx (cos (+ ( -2 x) (PI))) (fma.f64 (+.f64 x x) x #s(literal -1 binary64))))))
(/.f64 (.f64 #s(literal 2 binary64) (neg.f64 eps)) (neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos (+ ( -2 x) (PI))) (fma.f64 (+.f64 x x) x #s(literal -1 binary64))))))
(/.f64 (.f64 #s(literal 2 binary64) eps) (-.f64 #s(literal 1 binary64) #s(approx (cos (+ ( -2 x) (PI))) (fma.f64 (+.f64 x x) x #s(literal -1 binary64)))))
(/.f64 #s(literal -2 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos (+ (* -2 x) (PI))) (fma.f64 (+.f64 x x) x #s(literal -1 binary64))))))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos (+ (* -2 x) (PI))) (fma.f64 (+.f64 x x) x #s(literal -1 binary64)))))))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) #s(approx (cos (+ (* -2 x) (PI))) (fma.f64 (+.f64 x x) x #s(literal -1 binary64)))))
(neg.f64 (/.f64 #s(literal 2 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos (+ (* -2 x) (PI))) (fma.f64 (+.f64 x x) x #s(literal -1 binary64)))))))
(neg.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) #s(approx (cos (+ (* -2 x) (PI))) (fma.f64 (+.f64 x x) x #s(literal -1 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) #s(approx (cos (+ (* -2 x) (PI))) (fma.f64 (+.f64 x x) x #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) #s(approx (cos (+ (* -2 x) (PI))) (fma.f64 (+.f64 x x) x #s(literal -1 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) #s(approx (cos (+ (* -2 x) (PI))) (fma.f64 (+.f64 x x) x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) #s(approx (cos (+ (* -2 x) (PI))) (fma.f64 (+.f64 x x) x #s(literal -1 binary64))))))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) #s(approx (cos (+ (* -2 x) (PI))) (fma.f64 (+.f64 x x) x #s(literal -1 binary64))))
#s(literal 1 binary64)
#s(approx (cos (+ (* -2 x) (PI))) (fma.f64 (+.f64 x x) x #s(literal -1 binary64)))
(fma.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))
(fma.f64 (+.f64 x x) x #s(literal -1 binary64))
(fma.f64 x (+.f64 x x) #s(literal -1 binary64))
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(fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64))
(-.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/6 binary64) eps) eps))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 eps) eps) #s(literal -1/6 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))
(+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64)))
#s(literal -1/6 binary64)
(*.f64 (fabs.f64 (fabs.f64 eps)) (fabs.f64 (fabs.f64 eps)))
(*.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)))
(*.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 eps)))
(*.f64 (fabs.f64 eps) (fabs.f64 eps))
(*.f64 (neg.f64 eps) (neg.f64 eps))
(.f64 (.f64 eps eps) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 eps eps))
(*.f64 eps eps)
(pow.f64 (fabs.f64 eps) #s(literal 2 binary64))
(pow.f64 (neg.f64 eps) #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 eps) eps))
(fabs.f64 (*.f64 eps eps))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 x (-.f64 x (neg.f64 eps)))) (cos.f64 (-.f64 x (-.f64 x (neg.f64 eps)))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 x (-.f64 eps (neg.f64 x)))) (cos.f64 (-.f64 x (-.f64 eps (neg.f64 x)))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 x (+.f64 x eps))) (cos.f64 (-.f64 x (+.f64 x eps))))) #s(literal -2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 x (neg.f64 eps)) (neg.f64 x))) (cos.f64 (-.f64 (-.f64 x (neg.f64 eps)) (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 x (neg.f64 eps)) x)) (cos.f64 (-.f64 (-.f64 x (neg.f64 eps)) x))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 x) (-.f64 x (neg.f64 eps)))) (cos.f64 (-.f64 (neg.f64 x) (-.f64 x (neg.f64 eps))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 x) (neg.f64 (+.f64 x eps)))) (cos.f64 (-.f64 (neg.f64 x) (neg.f64 (+.f64 x eps))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 x) (+.f64 x eps))) (cos.f64 (-.f64 (neg.f64 x) (+.f64 x eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 x (neg.f64 (+.f64 x eps)))) (cos.f64 (-.f64 x (neg.f64 (+.f64 x eps))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (+.f64 x eps)) (neg.f64 x))) (cos.f64 (-.f64 (neg.f64 (+.f64 x eps)) (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (+.f64 x eps)) x)) (cos.f64 (-.f64 (neg.f64 (+.f64 x eps)) x))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 x eps) (neg.f64 x))) (cos.f64 (-.f64 (+.f64 x eps) (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 x eps) x)) (cos.f64 (-.f64 (+.f64 x eps) x))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 eps (neg.f64 x)) (neg.f64 x))) (cos.f64 (-.f64 (-.f64 eps (neg.f64 x)) (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 eps (neg.f64 x)) x)) (cos.f64 (-.f64 (-.f64 eps (neg.f64 x)) x))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 x) (-.f64 eps (neg.f64 x)))) (cos.f64 (-.f64 (neg.f64 x) (-.f64 eps (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (-.f64 x (neg.f64 eps)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (-.f64 x (neg.f64 eps)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (-.f64 x (neg.f64 eps)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (-.f64 x (neg.f64 eps)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 x eps) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 x eps) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 x eps) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (+.f64 x eps) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (-.f64 eps (neg.f64 x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (-.f64 eps (neg.f64 x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (-.f64 eps (neg.f64 x)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (-.f64 eps (neg.f64 x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (-.f64 x (neg.f64 eps)) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 x))) (sin.f64 (+.f64 (+.f64 (-.f64 x (neg.f64 eps)) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (-.f64 x (neg.f64 eps)) (/.f64 (PI.f64) #s(literal 2 binary64))) x)) (sin.f64 (+.f64 (+.f64 (-.f64 x (neg.f64 eps)) (/.f64 (PI.f64) #s(literal 2 binary64))) x))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 x (neg.f64 eps)))) (sin.f64 (+.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 x (neg.f64 eps))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (+.f64 x eps)))) (sin.f64 (+.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (+.f64 x eps))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 x eps))) (sin.f64 (+.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 x eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 x eps) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 x))) (sin.f64 (+.f64 (+.f64 (+.f64 x eps) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 x eps) (/.f64 (PI.f64) #s(literal 2 binary64))) x)) (sin.f64 (+.f64 (+.f64 (+.f64 x eps) (/.f64 (PI.f64) #s(literal 2 binary64))) x))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (-.f64 eps (neg.f64 x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 x))) (sin.f64 (+.f64 (+.f64 (-.f64 eps (neg.f64 x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (-.f64 eps (neg.f64 x)) (/.f64 (PI.f64) #s(literal 2 binary64))) x)) (sin.f64 (+.f64 (+.f64 (-.f64 eps (neg.f64 x)) (/.f64 (PI.f64) #s(literal 2 binary64))) x))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 eps (neg.f64 x)))) (sin.f64 (+.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 eps (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 x (-.f64 x (neg.f64 eps)))) (cos.f64 (-.f64 x (-.f64 x (neg.f64 eps))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 x (+.f64 x eps))) (cos.f64 (-.f64 x (+.f64 x eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 x (-.f64 eps (neg.f64 x)))) (cos.f64 (-.f64 x (-.f64 eps (neg.f64 x))))) #s(literal 2 binary64))
(neg.f64 (neg.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(+.f64 (/.f64 (cos.f64 (+.f64 x (-.f64 x (neg.f64 eps)))) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 x (-.f64 x (neg.f64 eps)))) #s(literal 2 binary64)))
(+.f64 (/.f64 (cos.f64 (+.f64 x (-.f64 eps (neg.f64 x)))) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 x (-.f64 eps (neg.f64 x)))) #s(literal 2 binary64)))
(+.f64 (/.f64 (cos.f64 (+.f64 x (+.f64 x eps))) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 x (+.f64 x eps))) #s(literal 2 binary64)))
(sin.f64 (+.f64 (neg.f64 (+.f64 x eps)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (-.f64 eps (neg.f64 x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (-.f64 x (neg.f64 eps)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 x eps) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(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 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(-.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 (sin.f64 eps) (sin.f64 (neg.f64 (neg.f64 x)))))
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 (neg.f64 (neg.f64 eps)))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))
(cos.f64 (neg.f64 (neg.f64 (+.f64 x eps))))
(cos.f64 (neg.f64 (+.f64 x eps)))
(cos.f64 (-.f64 x (neg.f64 eps)))
(cos.f64 (-.f64 eps (neg.f64 x)))
(cos.f64 (+.f64 x eps))
(+.f64 (.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 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 x) (cos.f64 eps)) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(+.f64 x eps)
(+.f64 eps x)
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) (tan.f64 eps))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) (fma.f64 x (*.f64 (tan.f64 eps) (tan.f64 eps)) (tan.f64 eps)))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) (fma.f64 (fma.f64 (neg.f64 x) (-.f64 (pow.f64 (neg.f64 (tan.f64 eps)) #s(literal 3 binary64)) (tan.f64 eps)) (*.f64 (tan.f64 eps) (tan.f64 eps))) x (tan.f64 eps)))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) (fma.f64 (fma.f64 (+.f64 (fma.f64 (neg.f64 (-.f64 (fma.f64 (/.f64 (.f64 (sin.f64 eps) #s(literal 2/3 binary64)) (cos.f64 eps)) (tan.f64 eps) (/.f64 (.f64 (-.f64 (pow.f64 (neg.f64 (tan.f64 eps)) #s(literal 3 binary64)) (tan.f64 eps)) (sin.f64 eps)) (cos.f64 eps))) (.f64 (tan.f64 eps) (tan.f64 eps)))) x (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) x (.f64 (tan.f64 eps) (tan.f64 eps))) x (tan.f64 eps)))
#s(approx (* (cos x) (cos (+ eps x))) (cos.f64 eps))
#s(approx (* (cos x) (cos (+ eps x))) (-.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x)))
#s(approx (* (cos x) (cos (+ eps x))) (fma.f64 x (neg.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps))) (cos.f64 eps)))
#s(approx (* (cos x) (cos (+ eps x))) (fma.f64 x (fma.f64 (fma.f64 (*.f64 (sin.f64 eps) #s(literal 2/3 binary64)) x (neg.f64 (cos.f64 eps))) x (neg.f64 (sin.f64 eps))) (cos.f64 eps)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx x x)
#s(approx (cos (+ eps x)) (cos.f64 eps))
#s(approx (cos (+ eps x)) (-.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x)))
#s(approx (cos (+ eps x)) (fma.f64 x (-.f64 (.f64 (.f64 (cos.f64 eps) x) #s(literal -1/2 binary64)) (sin.f64 eps)) (cos.f64 eps)))
#s(approx (cos (+ eps x)) (fma.f64 x (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal 1/6 binary64) (*.f64 (cos.f64 eps) #s(literal -1/2 binary64))) x) (sin.f64 eps)) (cos.f64 eps)))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) (-.f64 (-.f64 #s(literal 1 binary64) (.f64 x eps)) (.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) x (neg.f64 eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) (-.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x eps) #s(literal 1/6 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 eps eps) #s(literal -1/2 binary64))) x (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x eps) #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (* (cos x) eps) -1/2) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (* (* (cos x) eps) -1/2) (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (* (cos x) eps) -1/2) (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/48 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/4 binary64) eps)) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (* (cos x) eps) -1/2) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/1440 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/48 binary64) eps)) (.f64 #s(literal 1/4 binary64) eps)) (.f64 x x) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (cos x) eps) eps)
#s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps))
#s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps))
#s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps))
#s(approx (sin x) x)
#s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 x (*.f64 (tan.f64 eps) (tan.f64 eps)) (tan.f64 eps)))
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#s(approx (/ 2 (- 1 (neg (cos (+ x x))))) #s(literal 1 binary64))
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#s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 (neg.f64 (-.f64 (neg.f64 x) #s(literal 0 binary64))) x #s(literal 1 binary64)))
#s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) x #s(literal 1 binary64)) x #s(literal 0 binary64)) x #s(literal 1 binary64)))
#s(approx (- 1 (neg (cos (+ x x)))) #s(literal 2 binary64))
#s(approx (- 1 (neg (cos (+ x x)))) (-.f64 (fma.f64 #s(literal 0 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64)))
#s(approx (- 1 (neg (cos (+ x x)))) (-.f64 (fma.f64 (*.f64 #s(literal -2 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)))
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#s(approx (cos (+ (* -2 x) (PI))) #s(literal -1 binary64))
#s(approx (cos (+ (* -2 x) (PI))) (fma.f64 #s(literal 0 binary64) x #s(literal -1 binary64)))
#s(approx (cos (+ (* -2 x) (PI))) (fma.f64 (+.f64 x x) x #s(literal -1 binary64)))
#s(approx (cos (+ (* -2 x) (PI))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) (*.f64 #s(literal 0 binary64) x) #s(literal 2 binary64)) x #s(literal 0 binary64)) x #s(literal -1 binary64)))
#s(approx (+ (* (+ (* 2 x) 0) x) -1) #s(literal -1 binary64))
#s(approx (+ (* (+ (* 2 x) 0) x) -1) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64)))
#s(approx (+ x x) (+.f64 x x))
#s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) eps)
#s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (fma.f64 (*.f64 x x) eps eps))
#s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (fma.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) (.f64 #s(literal -1/3 binary64) eps) eps) (.f64 x x) eps))
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#s(approx (/ 2 (- 1 (neg (cos (+ x x))))) #s(literal 1 binary64))
#s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (- 1 (neg (cos (+ x x)))) #s(literal 2 binary64))
#s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 2 binary64)))
#s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 2 binary64)))
#s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (cos (+ (* -2 x) (PI))) #s(literal -1 binary64))
#s(approx (cos (+ (* -2 x) (PI))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64)))
#s(approx (cos (+ (* -2 x) (PI))) (fma.f64 (fma.f64 #s(literal -2/3 binary64) (.f64 x x) #s(literal 2 binary64)) (.f64 x x) #s(literal -1 binary64)))
#s(approx (cos (+ (* -2 x) (PI))) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 4/45 binary64) (.f64 x x)) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) (.f64 x x) #s(literal -1 binary64)))
#s(approx (cos (+ x x)) #s(literal 1 binary64))
#s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (cos (+ x x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (+ x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ x x) (+.f64 x x))
#s(approx (+ eps x) eps)
#s(approx (+ eps x) (+.f64 x eps))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
#s(approx (* (cos x) (cos (+ eps x))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
#s(approx (cos x) (cos.f64 x))
#s(approx (cos (+ eps x)) (cos.f64 (+.f64 x eps)))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) (fma.f64 eps (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)))
#s(approx (* (* (cos x) eps) -1/2) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)))
#s(approx (* (cos x) eps) (*.f64 (cos.f64 x) eps))
#s(approx (sin x) (sin.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
#s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (/.f64 (+.f64 eps eps) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))))
#s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))))
#s(approx (- 1 (neg (cos (+ x x)))) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x)))))
#s(approx (cos (+ (* -2 x) (PI))) (neg.f64 (cos.f64 (+.f64 x x))))
#s(approx (+ (* (+ (* 2 x) 0) x) -1) (.f64 (.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (* (+ (* 2 x) 0) x) -1) (.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 x x)))
#s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (/.f64 (+.f64 eps eps) (-.f64 (cos.f64 (+.f64 x x)) #s(literal -1 binary64))))
#s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 x x)) #s(literal -1 binary64))))
#s(approx (- 1 (neg (cos (+ x x)))) (-.f64 (cos.f64 (+.f64 x x)) #s(literal -1 binary64)))
#s(approx (cos (+ (* -2 x) (PI))) (neg.f64 (cos.f64 (+.f64 x x))))
#s(approx (cos (+ x x)) (cos.f64 (+.f64 x x)))
#s(approx (+ eps x) x)
#s(approx (+ eps x) (*.f64 (-.f64 (/.f64 eps x) #s(literal -1 binary64)) x))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
#s(approx (* (cos x) (cos (+ eps x))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
#s(approx (cos (+ eps x)) (cos.f64 (+.f64 x eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
#s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (/.f64 (+.f64 eps eps) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))))
#s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))))
#s(approx (- 1 (neg (cos (+ x x)))) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x)))))
#s(approx (cos (+ (* -2 x) (PI))) (neg.f64 (cos.f64 (+.f64 x x))))
#s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (/.f64 (+.f64 eps eps) (-.f64 (cos.f64 (+.f64 x x)) #s(literal -1 binary64))))
#s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 x x)) #s(literal -1 binary64))))
#s(approx (- 1 (neg (cos (+ x x)))) (-.f64 (cos.f64 (+.f64 x x)) #s(literal -1 binary64)))
#s(approx (cos (+ (* -2 x) (PI))) (neg.f64 (cos.f64 (+.f64 x x))))
#s(approx (cos (+ x x)) (cos.f64 (+.f64 x x)))
#s(approx (+ eps x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) (/.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) (.f64 (fma.f64 (/.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (tan.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) eps))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) (.f64 (fma.f64 (-.f64 (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (+.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)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) eps) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (tan.f64 x))) eps (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) eps))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) (.f64 (fma.f64 (-.f64 (.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (.f64 (-.f64 (.f64 (neg.f64 (sin.f64 x)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (+.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)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (cos.f64 x))) (.f64 (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (tan.f64 x)) #s(literal -1/3 binary64))) eps)) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) eps) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (tan.f64 x))) eps (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) eps))
#s(approx (sin eps) eps)
#s(approx (sin eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))
#s(approx (sin eps) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 eps eps) #s(literal -1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (sin eps) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 eps eps) #s(literal 1/120 binary64)) (.f64 eps eps) #s(literal -1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx eps eps)
#s(approx (* (cos x) (cos (+ eps x))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
#s(approx (* (cos x) (cos (+ eps x))) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))))
#s(approx (* (cos x) (cos (+ eps x))) (fma.f64 (fma.f64 (neg.f64 (cos.f64 x)) (sin.f64 x) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) eps) #s(literal -1/2 binary64))) eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
#s(approx (* (cos x) (cos (+ eps x))) (fma.f64 (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) (sin.f64 x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal -1/2 binary64))) (.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))) eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
#s(approx (cos (+ eps x)) (cos.f64 x))
#s(approx (cos (+ eps x)) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) eps)))
#s(approx (cos (+ eps x)) (fma.f64 eps (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x)))
#s(approx (cos (+ eps x)) (fma.f64 eps (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) (sin.f64 x)) (cos.f64 x)))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) (cos.f64 x))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) eps)))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) (fma.f64 eps (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) (cos.f64 x)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (neg.f64 (sin.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (fma.f64 eps (.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (cos.f64 x))) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (fma.f64 (fma.f64 (neg.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64)))) #s(literal -1/6 binary64))) eps (.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (cos.f64 x)))) eps #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (neg.f64 eps) (fma.f64 (.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (cos.f64 x))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64)))) #s(literal -1/6 binary64)) (sin.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (sin.f64 x)))) (cos.f64 x))) #s(literal -1/6 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))))) eps (.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (cos.f64 x)))) eps #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x))) eps))
#s(approx (tan eps) eps)
#s(approx (tan eps) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (tan eps) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 eps eps) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 eps eps) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (* (+ (* -1/6 (* eps eps)) 1) eps) eps)
#s(approx (* (+ (* -1/6 (* eps eps)) 1) eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))
#s(approx (+ (* -1/6 (* eps eps)) 1) #s(literal 1 binary64))
#s(approx (+ (* -1/6 (* eps eps)) 1) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (* eps eps) (*.f64 eps eps))
#s(approx (sin eps) (sin.f64 eps))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) (.f64 (.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal -1/2 binary64)))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) (.f64 (-.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) (/.f64 (sin.f64 x) eps)) (*.f64 eps eps)))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) (.f64 (-.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (.f64 eps eps))) (/.f64 (sin.f64 x) eps)) (*.f64 eps eps)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (.f64 (-.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) (/.f64 (sin.f64 x) eps)) eps))
#s(approx (tan eps) (tan.f64 eps))
#s(approx (* (+ (* -1/6 (* eps eps)) 1) eps) (.f64 (.f64 (*.f64 eps eps) eps) #s(literal -1/6 binary64)))
#s(approx (* (+ (* -1/6 (* eps eps)) 1) eps) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) #s(literal 1/6 binary64)) (.f64 (.f64 eps eps) eps)))
#s(approx (+ (* -1/6 (* eps eps)) 1) (.f64 (.f64 eps eps) #s(literal -1/6 binary64)))
#s(approx (+ (* -1/6 (* eps eps)) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) #s(literal 1/6 binary64)) (*.f64 eps eps)))
#s(approx (+ eps x) (*.f64 (-.f64 (/.f64 x eps) #s(literal -1 binary64)) eps))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
#s(approx (* (cos x) (cos (+ eps x))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
#s(approx (cos (+ eps x)) (cos.f64 (+.f64 x eps)))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (/.f64 (-.f64 (sin.f64 x) (/.f64 (cos.f64 x) eps)) (neg.f64 eps))) (.f64 eps eps)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (*.f64 (neg.f64 eps) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
#s(approx (* (+ (* -1/6 (* eps eps)) 1) eps) (.f64 (neg.f64 (.f64 (.f64 eps eps) eps)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps eps)))))
#s(approx (+ eps x) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))

eval71.0ms (0.6%)

Memory: -7.0MiB live, 136.7MiB allocated; 17ms collecting garbage
Compiler: Compiled 5 271 to 2 407 computations (54.3% saved)

prune20.0ms (0.2%)

Memory

-10.9MiB live, 35.7MiB allocated; 2ms collecting garbage

Pruning

24 alts after pruning (20 fresh and 4 done)

	Pruned	Kept	Total
New	405	18	423
Fresh	7	2	9
Picked	3	2	5
Done	0	2	2
Total	415	24	439

Accuracy

100.0%

Counts

439 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 #s(approx (sin eps) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 eps eps) #s(literal -1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)) (.f64 (cos.f64 x) #s(approx (cos (+ eps x)) (fma.f64 eps (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x)))))
	100.0%	(/.f64 #s(approx (sin eps) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 eps x))))
	99.9%	(/.f64 #s(approx (sin eps) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)) (*.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 eps x))))
	99.9%	(/.f64 #s(approx (sin eps) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)) (*.f64 (cos.f64 x) (sin.f64 (+.f64 (neg.f64 (+.f64 x eps)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
✓	99.9%	(/.f64 #s(approx (sin eps) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	99.9%	(/.f64 #s(approx (sin eps) #s(approx (* (+ (* -1/6 (* eps eps)) 1) eps) eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) eps))
▶	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))))) eps))
✓	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))))) eps))
	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) eps))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) #s(approx (cos (+ ( -2 x) (PI))) (fma.f64 (fma.f64 #s(literal -2/3 binary64) (.f64 x x) #s(literal 2 binary64)) (.f64 x x) #s(literal -1 binary64))))) eps))
▶	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 2 binary64)))) eps))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 2 binary64)))) eps))
	98.6%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 2 binary64)))) eps))
	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (-.f64 (cos.f64 (+.f64 x x)) #s(literal -1 binary64)))) eps))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
▶	98.8%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 x x #s(literal 1 binary64))) eps))
	2.9%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 (+.f64 eps (PI.f64)) (PI.f64))))
✓	98.3%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
▶	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (fma.f64 (*.f64 x x) eps eps)))
	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (/.f64 (+.f64 eps eps) (-.f64 (cos.f64 (+.f64 x x)) #s(literal -1 binary64)))))
	98.3%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps)))
✓	98.3%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) eps))

Compiler

Compiled 835 to 807 computations (3.4% saved)

series43.0ms (0.4%)

Memory

31.2MiB live, 81.9MiB allocated; 6ms collecting garbage

Counts

49 → 198

Calls

Call 1

Inputs
(/.f64 #s(approx (sin eps) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 eps eps) #s(literal -1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)) (.f64 (cos.f64 x) #s(approx (cos (+ eps x)) (fma.f64 eps (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x)))))
#s(approx (sin eps) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 eps eps) #s(literal -1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))
(.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 eps eps) #s(literal -1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 eps eps) #s(literal -1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 eps eps) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 eps eps)
eps
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(.f64 (cos.f64 x) #s(approx (cos (+ eps x)) (fma.f64 eps (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x))))
(cos.f64 x)
x
#s(approx (cos (+ eps x)) (fma.f64 eps (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x)))
(fma.f64 eps (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x))
(-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x))
(.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64))
(*.f64 (cos.f64 x) eps)
#s(literal -1/2 binary64)
(sin.f64 x)
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (fma.f64 (*.f64 x x) eps eps)))
#s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (fma.f64 (*.f64 x x) eps eps))
(fma.f64 (*.f64 x x) eps eps)
(*.f64 x x)
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
(.f64 #s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps)
#s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal 2/3 binary64)
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 2 binary64)))) eps))
(.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 2 binary64)))) eps)
(/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64))
(fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64))
#s(literal -4/45 binary64)
#s(literal -2 binary64)
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))))) eps))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))))) eps)
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(-.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))))
(sin.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))))
(neg.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)

Outputs
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (cos eps)))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (+ (cos eps) (* -1 (* x (sin eps))))))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos eps)))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos eps) (* -1 (* x (sin eps))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) #s(hole binary64 (+ 1 (* -1/2 (pow eps 2)))))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1 (* eps x)) (* -1/2 (pow eps 2))))))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (- (* 1/4 (pow eps 2)) 1/2))))))))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (- (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2))) 1/2))))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (* -1/2 eps)))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))))
#s(approx (* (cos x) eps) #s(hole binary64 eps))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) #s(hole binary64 eps))
#s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) #s(hole binary64 (+ eps (* eps (pow x 2)))))
#s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* -2 (* (pow x 2) (+ (* -1/2 eps) (* 1/6 eps)))))))))
#s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* (pow x 2) (+ (* -2 (* (pow x 2) (+ (* -1/2 eps) (+ (* -1/45 eps) (* 1/3 eps))))) (* -2 (+ (* -1/2 eps) (* 1/6 eps))))))))))
#s(approx (+ (* (* x x) eps) eps) #s(hole binary64 eps))
#s(approx (+ (* (* x x) eps) eps) #s(hole binary64 (+ eps (* eps (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ 2 (- 1 (neg (cos (+ x x))))) #s(hole binary64 1))
#s(approx (/ 2 (- 1 (neg (cos (+ x x))))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (/ 2 (- 1 (neg (cos (+ x x))))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (/ 2 (- 1 (neg (cos (+ x x))))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ (* 2/3 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* 2/3 (* x x)) 1) #s(hole binary64 (+ 1 (* 2/3 (pow x 2)))))
#s(approx (- 1 (neg (cos (+ x x)))) #s(hole binary64 2))
#s(approx (- 1 (neg (cos (+ x x)))) #s(hole binary64 (+ 2 (* -2 (pow x 2)))))
#s(approx (- 1 (neg (cos (+ x x)))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (- 1 (neg (cos (+ x x)))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (* x x)) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (* x x)) 2) #s(hole binary64 (+ 2 (* -2 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (+ (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(hole binary64 -2))
#s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(hole binary64 (- (* 2/3 (pow x 2)) 2)))
#s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(hole binary64 (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
#s(approx (+ (* -4/45 (* x x)) 2/3) #s(hole binary64 2/3))
#s(approx (+ (* -4/45 (* x x)) 2/3) #s(hole binary64 (+ 2/3 (* -4/45 (pow x 2)))))
#s(approx (* (/ 2 (- 1 (sin (neg (+ (* 2 x) (/ (PI) 2)))))) eps) #s(hole binary64 (* 2 (/ eps (- 1 (sin (neg (* 1/2 (PI)))))))))
#s(approx (* (/ 2 (- 1 (sin (neg (+ (* 2 x) (/ (PI) 2)))))) eps) #s(hole binary64 (+ (* -4 (/ (* eps (* x (cos (neg (* 1/2 (PI)))))) (pow (- 1 (sin (neg (* 1/2 (PI))))) 2))) (* 2 (/ eps (- 1 (sin (neg (* 1/2 (PI))))))))))
#s(approx (* (/ 2 (- 1 (sin (neg (+ (* 2 x) (/ (PI) 2)))))) eps) #s(hole binary64 (+ (* 2 (/ eps (- 1 (sin (neg (* 1/2 (PI))))))) (* x (+ (* -4 (/ (* eps (cos (neg (* 1/2 (PI))))) (pow (- 1 (sin (neg (* 1/2 (PI))))) 2))) (* -2 (* x (+ (* -4 (/ (* eps (pow (cos (neg (* 1/2 (PI)))) 2)) (pow (- 1 (sin (neg (* 1/2 (PI))))) 3))) (* 2 (/ (* eps (sin (neg (* 1/2 (PI))))) (pow (- 1 (sin (neg (* 1/2 (PI))))) 2)))))))))))
#s(approx (* (/ 2 (- 1 (sin (neg (+ (* 2 x) (/ (PI) 2)))))) eps) #s(hole binary64 (+ (* 2 (/ eps (- 1 (sin (neg (* 1/2 (PI))))))) (* x (+ (* -4 (/ (* eps (cos (neg (* 1/2 (PI))))) (pow (- 1 (sin (neg (* 1/2 (PI))))) 2))) (* x (+ (* -2 (* x (+ (* -4 (/ (* eps (* (cos (neg (* 1/2 (PI)))) (sin (neg (* 1/2 (PI)))))) (pow (- 1 (sin (neg (* 1/2 (PI))))) 3))) (+ (* -2 (/ (* (cos (neg (* 1/2 (PI)))) (+ (* -4 (/ (* eps (pow (cos (neg (* 1/2 (PI)))) 2)) (pow (- 1 (sin (neg (* 1/2 (PI))))) 3))) (* 2 (/ (* eps (sin (neg (* 1/2 (PI))))) (pow (- 1 (sin (neg (* 1/2 (PI))))) 2))))) (- 1 (sin (neg (* 1/2 (PI))))))) (* -4/3 (/ (* eps (cos (neg (* 1/2 (PI))))) (pow (- 1 (sin (neg (* 1/2 (PI))))) 2))))))) (* -2 (+ (* -4 (/ (* eps (pow (cos (neg (* 1/2 (PI)))) 2)) (pow (- 1 (sin (neg (* 1/2 (PI))))) 3))) (* 2 (/ (* eps (sin (neg (* 1/2 (PI))))) (pow (- 1 (sin (neg (* 1/2 (PI))))) 2))))))))))))
#s(approx (/ 2 (- 1 (sin (neg (+ (* 2 x) (/ (PI) 2)))))) #s(hole binary64 (/ 2 (- 1 (sin (neg (* 1/2 (PI))))))))
#s(approx (/ 2 (- 1 (sin (neg (+ (* 2 x) (/ (PI) 2)))))) #s(hole binary64 (+ (* -4 (/ (* x (cos (neg (* 1/2 (PI))))) (pow (- 1 (sin (neg (* 1/2 (PI))))) 2))) (* 2 (/ 1 (- 1 (sin (neg (* 1/2 (PI))))))))))
#s(approx (/ 2 (- 1 (sin (neg (+ (* 2 x) (/ (PI) 2)))))) #s(hole binary64 (+ (* x (- (* -1 (* x (+ (* -8 (/ (pow (cos (neg (* 1/2 (PI)))) 2) (pow (- 1 (sin (neg (* 1/2 (PI))))) 3))) (* 4 (/ (sin (neg (* 1/2 (PI)))) (pow (- 1 (sin (neg (* 1/2 (PI))))) 2)))))) (* 4 (/ (cos (neg (* 1/2 (PI)))) (pow (- 1 (sin (neg (* 1/2 (PI))))) 2))))) (* 2 (/ 1 (- 1 (sin (neg (* 1/2 (PI))))))))))
#s(approx (/ 2 (- 1 (sin (neg (+ (* 2 x) (/ (PI) 2)))))) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* -8 (/ (* (cos (neg (* 1/2 (PI)))) (sin (neg (* 1/2 (PI))))) (pow (- 1 (sin (neg (* 1/2 (PI))))) 3))) (+ (* -8/3 (/ (cos (neg (* 1/2 (PI)))) (pow (- 1 (sin (neg (* 1/2 (PI))))) 2))) (* -2 (/ (* (cos (neg (* 1/2 (PI)))) (+ (* -8 (/ (pow (cos (neg (* 1/2 (PI)))) 2) (pow (- 1 (sin (neg (* 1/2 (PI))))) 3))) (* 4 (/ (sin (neg (* 1/2 (PI)))) (pow (- 1 (sin (neg (* 1/2 (PI))))) 2))))) (- 1 (sin (neg (* 1/2 (PI))))))))))) (+ (* -8 (/ (pow (cos (neg (* 1/2 (PI)))) 2) (pow (- 1 (sin (neg (* 1/2 (PI))))) 3))) (* 4 (/ (sin (neg (* 1/2 (PI)))) (pow (- 1 (sin (neg (* 1/2 (PI))))) 2)))))) (* 4 (/ (cos (neg (* 1/2 (PI)))) (pow (- 1 (sin (neg (* 1/2 (PI))))) 2))))) (* 2 (/ 1 (- 1 (sin (neg (* 1/2 (PI))))))))))
#s(approx (- 1 (sin (neg (+ (* 2 x) (/ (PI) 2))))) #s(hole binary64 (- 1 (sin (neg (* 1/2 (PI)))))))
#s(approx (- 1 (sin (neg (+ (* 2 x) (/ (PI) 2))))) #s(hole binary64 (- (+ 1 (* 2 (* x (cos (neg (* 1/2 (PI))))))) (sin (neg (* 1/2 (PI)))))))
#s(approx (- 1 (sin (neg (+ (* 2 x) (/ (PI) 2))))) #s(hole binary64 (- (+ 1 (* x (- (* 2 (* x (sin (neg (* 1/2 (PI)))))) (* -2 (cos (neg (* 1/2 (PI)))))))) (sin (neg (* 1/2 (PI)))))))
#s(approx (- 1 (sin (neg (+ (* 2 x) (/ (PI) 2))))) #s(hole binary64 (- (+ 1 (* x (- (* x (- (* -4/3 (* x (cos (neg (* 1/2 (PI)))))) (* -2 (sin (neg (* 1/2 (PI))))))) (* -2 (cos (neg (* 1/2 (PI)))))))) (sin (neg (* 1/2 (PI)))))))
#s(approx (sin (neg (+ (* 2 x) (/ (PI) 2)))) #s(hole binary64 (sin (neg (* 1/2 (PI))))))
#s(approx (sin (neg (+ (* 2 x) (/ (PI) 2)))) #s(hole binary64 (+ (sin (neg (* 1/2 (PI)))) (* -2 (* x (cos (neg (* 1/2 (PI)))))))))
#s(approx (sin (neg (+ (* 2 x) (/ (PI) 2)))) #s(hole binary64 (+ (sin (neg (* 1/2 (PI)))) (* x (+ (* -2 (cos (neg (* 1/2 (PI))))) (* -2 (* x (sin (neg (* 1/2 (PI)))))))))))
#s(approx (sin (neg (+ (* 2 x) (/ (PI) 2)))) #s(hole binary64 (+ (sin (neg (* 1/2 (PI)))) (* x (+ (* -2 (cos (neg (* 1/2 (PI))))) (* x (+ (* -2 (sin (neg (* 1/2 (PI))))) (* 4/3 (* x (cos (neg (* 1/2 (PI)))))))))))))
#s(approx (neg (+ (* 2 x) (/ (PI) 2))) #s(hole binary64 (* -1/2 (PI))))
#s(approx (neg (+ (* 2 x) (/ (PI) 2))) #s(hole binary64 (- (* -2 x) (* 1/2 (PI)))))
#s(approx (+ (* 2 x) (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (* 2 x) (/ (PI) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 x))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (/ (sin eps) (* (cos x) (cos (+ eps x))))))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (* (cos x) (cos (+ eps x)))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos (+ eps x))))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
#s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) #s(hole binary64 (* 2 (/ eps (+ 1 (cos (* 2 x)))))))
#s(approx (+ (* (* x x) eps) eps) #s(hole binary64 (* eps (pow x 2))))
#s(approx (+ (* (* x x) eps) eps) #s(hole binary64 (* (pow x 2) (+ eps (/ eps (pow x 2))))))
#s(approx (/ 2 (- 1 (neg (cos (+ x x))))) #s(hole binary64 (/ 2 (+ 1 (cos (* 2 x))))))
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) #s(hole binary64 (* 2/3 (pow x 4))))
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 2/3 (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 2/3 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))))
#s(approx (+ (* 2/3 (* x x)) 1) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (+ (* 2/3 (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 2/3 (/ 1 (pow x 2))))))
#s(approx (- 1 (neg (cos (+ x x)))) #s(hole binary64 (+ 1 (cos (* 2 x)))))
#s(approx (+ (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (* x x)) 2) #s(hole binary64 (* -4/45 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (* x x)) 2) #s(hole binary64 (* (pow x 6) (- (* 2/3 (/ 1 (pow x 2))) 4/45))))
#s(approx (+ (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (* x x)) 2) #s(hole binary64 (* (pow x 6) (- (* 2/3 (/ 1 (pow x 2))) (+ 4/45 (/ 2 (pow x 4)))))))
#s(approx (+ (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (* x x)) 2) #s(hole binary64 (* (pow x 6) (- (+ (* 2/3 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))) (+ 4/45 (/ 2 (pow x 4)))))))
#s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(hole binary64 (* -4/45 (pow x 4))))
#s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(hole binary64 (* (pow x 4) (- (* 2/3 (/ 1 (pow x 2))) 4/45))))
#s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(hole binary64 (* (pow x 4) (- (* 2/3 (/ 1 (pow x 2))) (+ 4/45 (/ 2 (pow x 4)))))))
#s(approx (+ (* -4/45 (* x x)) 2/3) #s(hole binary64 (* -4/45 (pow x 2))))
#s(approx (+ (* -4/45 (* x x)) 2/3) #s(hole binary64 (* (pow x 2) (- (* 2/3 (/ 1 (pow x 2))) 4/45))))
#s(approx (* (/ 2 (- 1 (sin (neg (+ (* 2 x) (/ (PI) 2)))))) eps) #s(hole binary64 (* 2 (/ eps (- 1 (sin (neg (+ (* 1/2 (PI)) (* 2 x)))))))))
#s(approx (/ 2 (- 1 (sin (neg (+ (* 2 x) (/ (PI) 2)))))) #s(hole binary64 (/ 2 (- 1 (sin (neg (+ (* 1/2 (PI)) (* 2 x))))))))
#s(approx (- 1 (sin (neg (+ (* 2 x) (/ (PI) 2))))) #s(hole binary64 (- 1 (sin (neg (+ (* 1/2 (PI)) (* 2 x)))))))
#s(approx (sin (neg (+ (* 2 x) (/ (PI) 2)))) #s(hole binary64 (sin (neg (+ (* 1/2 (PI)) (* 2 x))))))
#s(approx (neg (+ (* 2 x) (/ (PI) 2))) #s(hole binary64 (* -2 x)))
#s(approx (neg (+ (* 2 x) (/ (PI) 2))) #s(hole binary64 (* x (- (* -1/2 (/ (PI) x)) 2))))
#s(approx (+ (* 2 x) (/ (PI) 2)) #s(hole binary64 (* 2 x)))
#s(approx (+ (* 2 x) (/ (PI) 2)) #s(hole binary64 (* x (+ 2 (* 1/2 (/ (PI) x))))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (* (cos x) (cos (- eps (* -1 x))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos (- eps (* -1 x)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))))
#s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) #s(hole binary64 (* 2 (/ eps (+ 1 (cos (neg (* -2 x))))))))
#s(approx (/ 2 (- 1 (neg (cos (+ x x))))) #s(hole binary64 (/ 2 (+ 1 (cos (neg (* -2 x)))))))
#s(approx (- 1 (neg (cos (+ x x)))) #s(hole binary64 (+ 1 (cos (neg (* -2 x))))))
#s(approx (* (/ 2 (- 1 (sin (neg (+ (* 2 x) (/ (PI) 2)))))) eps) #s(hole binary64 (* 2 (/ eps (- 1 (sin (- (* -2 x) (* 1/2 (PI)))))))))
#s(approx (/ 2 (- 1 (sin (neg (+ (* 2 x) (/ (PI) 2)))))) #s(hole binary64 (/ 2 (- 1 (sin (- (* -2 x) (* 1/2 (PI))))))))
#s(approx (- 1 (sin (neg (+ (* 2 x) (/ (PI) 2))))) #s(hole binary64 (- 1 (sin (- (* -2 x) (* 1/2 (PI)))))))
#s(approx (sin (neg (+ (* 2 x) (/ (PI) 2)))) #s(hole binary64 (sin (- (* -2 x) (* 1/2 (PI))))))
#s(approx (neg (+ (* 2 x) (/ (PI) 2))) #s(hole binary64 (* -1 (* x (+ 2 (* 1/2 (/ (PI) x)))))))
#s(approx (+ (* 2 x) (/ (PI) 2)) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (PI) x)) 2)))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (/ eps (pow (cos x) 2))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3))))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))))
#s(approx (sin eps) #s(hole binary64 eps))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx (* (+ (* (+ (* 1/120 (* eps eps)) -1/6) (* eps eps)) 1) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (+ (* 1/120 (* eps eps)) -1/6) (* eps eps)) 1) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* (+ (* 1/120 (* eps eps)) -1/6) (* eps eps)) 1) eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (+ (* (+ (* 1/120 (* eps eps)) -1/6) (* eps eps)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/120 (* eps eps)) -1/6) (* eps eps)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* (+ (* 1/120 (* eps eps)) -1/6) (* eps eps)) 1) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))))
#s(approx (+ (* 1/120 (* eps eps)) -1/6) #s(hole binary64 -1/6))
#s(approx (+ (* 1/120 (* eps eps)) -1/6) #s(hole binary64 (- (* 1/120 (pow eps 2)) 1/6)))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx eps #s(hole binary64 eps))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (pow (cos x) 2)))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2))))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2))))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos x)))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos x) (* -1 (* eps (sin x))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) #s(hole binary64 (+ (cos x) (* -1 (* eps (sin x))))))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (+ (* (* x x) eps) eps) #s(hole binary64 (* eps (+ 1 (pow x 2)))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (* (+ (* (+ (* 1/120 (* eps eps)) -1/6) (* eps eps)) 1) eps) #s(hole binary64 (* 1/120 (pow eps 5))))
#s(approx (* (+ (* (+ (* 1/120 (* eps eps)) -1/6) (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 5) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))))
#s(approx (* (+ (* (+ (* 1/120 (* eps eps)) -1/6) (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 5) (- (+ 1/120 (/ 1 (pow eps 4))) (* 1/6 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (+ (* 1/120 (* eps eps)) -1/6) (* eps eps)) 1) #s(hole binary64 (* 1/120 (pow eps 4))))
#s(approx (+ (* (+ (* 1/120 (* eps eps)) -1/6) (* eps eps)) 1) #s(hole binary64 (* (pow eps 4) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (+ (* 1/120 (* eps eps)) -1/6) (* eps eps)) 1) #s(hole binary64 (* (pow eps 4) (- (+ 1/120 (/ 1 (pow eps 4))) (* 1/6 (/ 1 (pow eps 2)))))))
#s(approx (+ (* 1/120 (* eps eps)) -1/6) #s(hole binary64 (* 1/120 (pow eps 2))))
#s(approx (+ (* 1/120 (* eps eps)) -1/6) #s(hole binary64 (* (pow eps 2) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) #s(hole binary64 (* -1/2 (* (pow eps 2) (cos x)))))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) #s(hole binary64 (* (pow eps 2) (- (+ (* -1/2 (cos x)) (/ (cos x) (pow eps 2))) (/ (sin x) eps)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (/ (sin eps) (* (cos x) (cos (- x (* -1 eps)))))))
#s(approx (* (+ (* (+ (* 1/120 (* eps eps)) -1/6) (* eps eps)) 1) eps) #s(hole binary64 (* -1 (* (pow eps 5) (- (* 1/6 (/ 1 (pow eps 2))) 1/120)))))
#s(approx (* (+ (* (+ (* 1/120 (* eps eps)) -1/6) (* eps eps)) 1) eps) #s(hole binary64 (* -1 (* (pow eps 5) (- (* 1/6 (/ 1 (pow eps 2))) (+ 1/120 (/ 1 (pow eps 4))))))))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (* (cos x) (cos (- x (* -1 eps))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos (- x (* -1 eps)))))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (sin x) (* -1 (/ (cos x) eps))) eps)) (* -1/2 (cos x))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))))
#s(approx (+ (* (* x x) eps) eps) #s(hole binary64 (* -1 (* eps (- (* -1 (pow x 2)) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	eps	@	0	((/ (sin eps) (* (cos x) (cos (+ eps x)))) (sin eps) (* (+ (* (+ (* 1/120 (* eps eps)) -1/6) (* eps eps)) 1) eps) (+ (* (+ (* 1/120 (* eps eps)) -1/6) (* eps eps)) 1) (+ (* 1/120 (* eps eps)) -1/6) 1/120 (* eps eps) eps -1/6 1 (* (cos x) (cos (+ eps x))) (cos x) x (cos (+ eps x)) (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) (- (* (* (cos x) eps) -1/2) (sin x)) (* (* (cos x) eps) -1/2) (* (cos x) eps) -1/2 (sin x) (- (tan (+ x eps)) (tan x)) (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (+ (* (* x x) eps) eps) (* x x) (- (tan (+ x eps)) (tan x)) (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (/ 2 (- 1 (neg (cos (+ x x))))) (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) (+ (* 2/3 (* x x)) 1) 2/3 (- (tan (+ x eps)) (tan x)) (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (/ 2 (- 1 (neg (cos (+ x x))))) 2 (- 1 (neg (cos (+ x x)))) (+ (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (* x x)) 2) (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (+ (* -4/45 (* x x)) 2/3) -4/45 -2 (- (tan (+ x eps)) (tan x)) (* (/ 2 (- 1 (sin (neg (+ (* 2 x) (/ (PI) 2)))))) eps) (/ 2 (- 1 (sin (neg (+ (* 2 x) (/ (PI) 2)))))) (- 1 (sin (neg (+ (* 2 x) (/ (PI) 2))))) (sin (neg (+ (* 2 x) (/ (PI) 2)))) (neg (+ (* 2 x) (/ (PI) 2))) (+ (* 2 x) (/ (PI) 2)) (/ (PI) 2) (PI))
6.0ms	eps	@	inf	((/ (sin eps) (* (cos x) (cos (+ eps x)))) (sin eps) (* (+ (* (+ (* 1/120 (* eps eps)) -1/6) (* eps eps)) 1) eps) (+ (* (+ (* 1/120 (* eps eps)) -1/6) (* eps eps)) 1) (+ (* 1/120 (* eps eps)) -1/6) 1/120 (* eps eps) eps -1/6 1 (* (cos x) (cos (+ eps x))) (cos x) x (cos (+ eps x)) (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) (- (* (* (cos x) eps) -1/2) (sin x)) (* (* (cos x) eps) -1/2) (* (cos x) eps) -1/2 (sin x) (- (tan (+ x eps)) (tan x)) (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (+ (* (* x x) eps) eps) (* x x) (- (tan (+ x eps)) (tan x)) (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (/ 2 (- 1 (neg (cos (+ x x))))) (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) (+ (* 2/3 (* x x)) 1) 2/3 (- (tan (+ x eps)) (tan x)) (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (/ 2 (- 1 (neg (cos (+ x x))))) 2 (- 1 (neg (cos (+ x x)))) (+ (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (* x x)) 2) (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (+ (* -4/45 (* x x)) 2/3) -4/45 -2 (- (tan (+ x eps)) (tan x)) (* (/ 2 (- 1 (sin (neg (+ (* 2 x) (/ (PI) 2)))))) eps) (/ 2 (- 1 (sin (neg (+ (* 2 x) (/ (PI) 2)))))) (- 1 (sin (neg (+ (* 2 x) (/ (PI) 2))))) (sin (neg (+ (* 2 x) (/ (PI) 2)))) (neg (+ (* 2 x) (/ (PI) 2))) (+ (* 2 x) (/ (PI) 2)) (/ (PI) 2) (PI))
6.0ms	eps	@	-inf	((/ (sin eps) (* (cos x) (cos (+ eps x)))) (sin eps) (* (+ (* (+ (* 1/120 (* eps eps)) -1/6) (* eps eps)) 1) eps) (+ (* (+ (* 1/120 (* eps eps)) -1/6) (* eps eps)) 1) (+ (* 1/120 (* eps eps)) -1/6) 1/120 (* eps eps) eps -1/6 1 (* (cos x) (cos (+ eps x))) (cos x) x (cos (+ eps x)) (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) (- (* (* (cos x) eps) -1/2) (sin x)) (* (* (cos x) eps) -1/2) (* (cos x) eps) -1/2 (sin x) (- (tan (+ x eps)) (tan x)) (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (+ (* (* x x) eps) eps) (* x x) (- (tan (+ x eps)) (tan x)) (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (/ 2 (- 1 (neg (cos (+ x x))))) (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) (+ (* 2/3 (* x x)) 1) 2/3 (- (tan (+ x eps)) (tan x)) (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (/ 2 (- 1 (neg (cos (+ x x))))) 2 (- 1 (neg (cos (+ x x)))) (+ (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (* x x)) 2) (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (+ (* -4/45 (* x x)) 2/3) -4/45 -2 (- (tan (+ x eps)) (tan x)) (* (/ 2 (- 1 (sin (neg (+ (* 2 x) (/ (PI) 2)))))) eps) (/ 2 (- 1 (sin (neg (+ (* 2 x) (/ (PI) 2)))))) (- 1 (sin (neg (+ (* 2 x) (/ (PI) 2))))) (sin (neg (+ (* 2 x) (/ (PI) 2)))) (neg (+ (* 2 x) (/ (PI) 2))) (+ (* 2 x) (/ (PI) 2)) (/ (PI) 2) (PI))
6.0ms	x	@	inf	((/ (sin eps) (* (cos x) (cos (+ eps x)))) (sin eps) (* (+ (* (+ (* 1/120 (* eps eps)) -1/6) (* eps eps)) 1) eps) (+ (* (+ (* 1/120 (* eps eps)) -1/6) (* eps eps)) 1) (+ (* 1/120 (* eps eps)) -1/6) 1/120 (* eps eps) eps -1/6 1 (* (cos x) (cos (+ eps x))) (cos x) x (cos (+ eps x)) (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) (- (* (* (cos x) eps) -1/2) (sin x)) (* (* (cos x) eps) -1/2) (* (cos x) eps) -1/2 (sin x) (- (tan (+ x eps)) (tan x)) (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (+ (* (* x x) eps) eps) (* x x) (- (tan (+ x eps)) (tan x)) (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (/ 2 (- 1 (neg (cos (+ x x))))) (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) (+ (* 2/3 (* x x)) 1) 2/3 (- (tan (+ x eps)) (tan x)) (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (/ 2 (- 1 (neg (cos (+ x x))))) 2 (- 1 (neg (cos (+ x x)))) (+ (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (* x x)) 2) (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (+ (* -4/45 (* x x)) 2/3) -4/45 -2 (- (tan (+ x eps)) (tan x)) (* (/ 2 (- 1 (sin (neg (+ (* 2 x) (/ (PI) 2)))))) eps) (/ 2 (- 1 (sin (neg (+ (* 2 x) (/ (PI) 2)))))) (- 1 (sin (neg (+ (* 2 x) (/ (PI) 2))))) (sin (neg (+ (* 2 x) (/ (PI) 2)))) (neg (+ (* 2 x) (/ (PI) 2))) (+ (* 2 x) (/ (PI) 2)) (/ (PI) 2) (PI))
6.0ms	x	@	-inf	((/ (sin eps) (* (cos x) (cos (+ eps x)))) (sin eps) (* (+ (* (+ (* 1/120 (* eps eps)) -1/6) (* eps eps)) 1) eps) (+ (* (+ (* 1/120 (* eps eps)) -1/6) (* eps eps)) 1) (+ (* 1/120 (* eps eps)) -1/6) 1/120 (* eps eps) eps -1/6 1 (* (cos x) (cos (+ eps x))) (cos x) x (cos (+ eps x)) (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) (- (* (* (cos x) eps) -1/2) (sin x)) (* (* (cos x) eps) -1/2) (* (cos x) eps) -1/2 (sin x) (- (tan (+ x eps)) (tan x)) (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (+ (* (* x x) eps) eps) (* x x) (- (tan (+ x eps)) (tan x)) (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (/ 2 (- 1 (neg (cos (+ x x))))) (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) (+ (* 2/3 (* x x)) 1) 2/3 (- (tan (+ x eps)) (tan x)) (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (/ 2 (- 1 (neg (cos (+ x x))))) 2 (- 1 (neg (cos (+ x x)))) (+ (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (* x x)) 2) (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (+ (* -4/45 (* x x)) 2/3) -4/45 -2 (- (tan (+ x eps)) (tan x)) (* (/ 2 (- 1 (sin (neg (+ (* 2 x) (/ (PI) 2)))))) eps) (/ 2 (- 1 (sin (neg (+ (* 2 x) (/ (PI) 2)))))) (- 1 (sin (neg (+ (* 2 x) (/ (PI) 2))))) (sin (neg (+ (* 2 x) (/ (PI) 2)))) (neg (+ (* 2 x) (/ (PI) 2))) (+ (* 2 x) (/ (PI) 2)) (/ (PI) 2) (PI))

rewrite936.0ms (8.2%)

Memory

59.9MiB live, 565.5MiB allocated; 243ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	914	5772
0	973	5312
1	2823	5105
0	8481	4980
0	44739	4812

Stop Event

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

Counts

247 → 749

Calls

Call 1

Inputs
(/.f64 #s(approx (sin eps) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 eps eps) #s(literal -1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)) (.f64 (cos.f64 x) #s(approx (cos (+ eps x)) (fma.f64 eps (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x)))))
#s(approx (sin eps) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 eps eps) #s(literal -1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))
(.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 eps eps) #s(literal -1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 eps eps) #s(literal -1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 eps eps) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 eps eps)
eps
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(.f64 (cos.f64 x) #s(approx (cos (+ eps x)) (fma.f64 eps (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x))))
(cos.f64 x)
x
#s(approx (cos (+ eps x)) (fma.f64 eps (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x)))
(fma.f64 eps (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x))
(-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x))
(.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64))
(*.f64 (cos.f64 x) eps)
#s(literal -1/2 binary64)
(sin.f64 x)
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (fma.f64 (*.f64 x x) eps eps)))
#s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (fma.f64 (*.f64 x x) eps eps))
(fma.f64 (*.f64 x x) eps eps)
(*.f64 x x)
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
(.f64 #s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps)
#s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal 2/3 binary64)
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 2 binary64)))) eps))
(.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 2 binary64)))) eps)
(/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64))
(fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64))
#s(literal -4/45 binary64)
#s(literal -2 binary64)
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))))) eps))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))))) eps)
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(-.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))))
(sin.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))))
(neg.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (cos eps)))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (+ (cos eps) (* -1 (* x (sin eps))))))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos eps)))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos eps) (* -1 (* x (sin eps))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) #s(hole binary64 (+ 1 (* -1/2 (pow eps 2)))))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1 (* eps x)) (* -1/2 (pow eps 2))))))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (- (* 1/4 (pow eps 2)) 1/2))))))))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (- (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2))) 1/2))))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (* -1/2 eps)))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))))
#s(approx (* (cos x) eps) #s(hole binary64 eps))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) #s(hole binary64 eps))
#s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) #s(hole binary64 (+ eps (* eps (pow x 2)))))
#s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* -2 (* (pow x 2) (+ (* -1/2 eps) (* 1/6 eps)))))))))
#s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* (pow x 2) (+ (* -2 (* (pow x 2) (+ (* -1/2 eps) (+ (* -1/45 eps) (* 1/3 eps))))) (* -2 (+ (* -1/2 eps) (* 1/6 eps))))))))))
#s(approx (+ (* (* x x) eps) eps) #s(hole binary64 eps))
#s(approx (+ (* (* x x) eps) eps) #s(hole binary64 (+ eps (* eps (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ 2 (- 1 (neg (cos (+ x x))))) #s(hole binary64 1))
#s(approx (/ 2 (- 1 (neg (cos (+ x x))))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (/ 2 (- 1 (neg (cos (+ x x))))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (/ 2 (- 1 (neg (cos (+ x x))))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ (* 2/3 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* 2/3 (* x x)) 1) #s(hole binary64 (+ 1 (* 2/3 (pow x 2)))))
#s(approx (- 1 (neg (cos (+ x x)))) #s(hole binary64 2))
#s(approx (- 1 (neg (cos (+ x x)))) #s(hole binary64 (+ 2 (* -2 (pow x 2)))))
#s(approx (- 1 (neg (cos (+ x x)))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (- 1 (neg (cos (+ x x)))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (* x x)) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (* x x)) 2) #s(hole binary64 (+ 2 (* -2 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (+ (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(hole binary64 -2))
#s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(hole binary64 (- (* 2/3 (pow x 2)) 2)))
#s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(hole binary64 (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
#s(approx (+ (* -4/45 (* x x)) 2/3) #s(hole binary64 2/3))
#s(approx (+ (* -4/45 (* x x)) 2/3) #s(hole binary64 (+ 2/3 (* -4/45 (pow x 2)))))
#s(approx (* (/ 2 (- 1 (sin (neg (+ (* 2 x) (/ (PI) 2)))))) eps) #s(hole binary64 (* 2 (/ eps (- 1 (sin (neg (* 1/2 (PI)))))))))
#s(approx (* (/ 2 (- 1 (sin (neg (+ (* 2 x) (/ (PI) 2)))))) eps) #s(hole binary64 (+ (* -4 (/ (* eps (* x (cos (neg (* 1/2 (PI)))))) (pow (- 1 (sin (neg (* 1/2 (PI))))) 2))) (* 2 (/ eps (- 1 (sin (neg (* 1/2 (PI))))))))))
#s(approx (* (/ 2 (- 1 (sin (neg (+ (* 2 x) (/ (PI) 2)))))) eps) #s(hole binary64 (+ (* 2 (/ eps (- 1 (sin (neg (* 1/2 (PI))))))) (* x (+ (* -4 (/ (* eps (cos (neg (* 1/2 (PI))))) (pow (- 1 (sin (neg (* 1/2 (PI))))) 2))) (* -2 (* x (+ (* -4 (/ (* eps (pow (cos (neg (* 1/2 (PI)))) 2)) (pow (- 1 (sin (neg (* 1/2 (PI))))) 3))) (* 2 (/ (* eps (sin (neg (* 1/2 (PI))))) (pow (- 1 (sin (neg (* 1/2 (PI))))) 2)))))))))))
#s(approx (* (/ 2 (- 1 (sin (neg (+ (* 2 x) (/ (PI) 2)))))) eps) #s(hole binary64 (+ (* 2 (/ eps (- 1 (sin (neg (* 1/2 (PI))))))) (* x (+ (* -4 (/ (* eps (cos (neg (* 1/2 (PI))))) (pow (- 1 (sin (neg (* 1/2 (PI))))) 2))) (* x (+ (* -2 (* x (+ (* -4 (/ (* eps (* (cos (neg (* 1/2 (PI)))) (sin (neg (* 1/2 (PI)))))) (pow (- 1 (sin (neg (* 1/2 (PI))))) 3))) (+ (* -2 (/ (* (cos (neg (* 1/2 (PI)))) (+ (* -4 (/ (* eps (pow (cos (neg (* 1/2 (PI)))) 2)) (pow (- 1 (sin (neg (* 1/2 (PI))))) 3))) (* 2 (/ (* eps (sin (neg (* 1/2 (PI))))) (pow (- 1 (sin (neg (* 1/2 (PI))))) 2))))) (- 1 (sin (neg (* 1/2 (PI))))))) (* -4/3 (/ (* eps (cos (neg (* 1/2 (PI))))) (pow (- 1 (sin (neg (* 1/2 (PI))))) 2))))))) (* -2 (+ (* -4 (/ (* eps (pow (cos (neg (* 1/2 (PI)))) 2)) (pow (- 1 (sin (neg (* 1/2 (PI))))) 3))) (* 2 (/ (* eps (sin (neg (* 1/2 (PI))))) (pow (- 1 (sin (neg (* 1/2 (PI))))) 2))))))))))))
#s(approx (/ 2 (- 1 (sin (neg (+ (* 2 x) (/ (PI) 2)))))) #s(hole binary64 (/ 2 (- 1 (sin (neg (* 1/2 (PI))))))))
#s(approx (/ 2 (- 1 (sin (neg (+ (* 2 x) (/ (PI) 2)))))) #s(hole binary64 (+ (* -4 (/ (* x (cos (neg (* 1/2 (PI))))) (pow (- 1 (sin (neg (* 1/2 (PI))))) 2))) (* 2 (/ 1 (- 1 (sin (neg (* 1/2 (PI))))))))))
#s(approx (/ 2 (- 1 (sin (neg (+ (* 2 x) (/ (PI) 2)))))) #s(hole binary64 (+ (* x (- (* -1 (* x (+ (* -8 (/ (pow (cos (neg (* 1/2 (PI)))) 2) (pow (- 1 (sin (neg (* 1/2 (PI))))) 3))) (* 4 (/ (sin (neg (* 1/2 (PI)))) (pow (- 1 (sin (neg (* 1/2 (PI))))) 2)))))) (* 4 (/ (cos (neg (* 1/2 (PI)))) (pow (- 1 (sin (neg (* 1/2 (PI))))) 2))))) (* 2 (/ 1 (- 1 (sin (neg (* 1/2 (PI))))))))))
#s(approx (/ 2 (- 1 (sin (neg (+ (* 2 x) (/ (PI) 2)))))) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* -8 (/ (* (cos (neg (* 1/2 (PI)))) (sin (neg (* 1/2 (PI))))) (pow (- 1 (sin (neg (* 1/2 (PI))))) 3))) (+ (* -8/3 (/ (cos (neg (* 1/2 (PI)))) (pow (- 1 (sin (neg (* 1/2 (PI))))) 2))) (* -2 (/ (* (cos (neg (* 1/2 (PI)))) (+ (* -8 (/ (pow (cos (neg (* 1/2 (PI)))) 2) (pow (- 1 (sin (neg (* 1/2 (PI))))) 3))) (* 4 (/ (sin (neg (* 1/2 (PI)))) (pow (- 1 (sin (neg (* 1/2 (PI))))) 2))))) (- 1 (sin (neg (* 1/2 (PI))))))))))) (+ (* -8 (/ (pow (cos (neg (* 1/2 (PI)))) 2) (pow (- 1 (sin (neg (* 1/2 (PI))))) 3))) (* 4 (/ (sin (neg (* 1/2 (PI)))) (pow (- 1 (sin (neg (* 1/2 (PI))))) 2)))))) (* 4 (/ (cos (neg (* 1/2 (PI)))) (pow (- 1 (sin (neg (* 1/2 (PI))))) 2))))) (* 2 (/ 1 (- 1 (sin (neg (* 1/2 (PI))))))))))
#s(approx (- 1 (sin (neg (+ (* 2 x) (/ (PI) 2))))) #s(hole binary64 (- 1 (sin (neg (* 1/2 (PI)))))))
#s(approx (- 1 (sin (neg (+ (* 2 x) (/ (PI) 2))))) #s(hole binary64 (- (+ 1 (* 2 (* x (cos (neg (* 1/2 (PI))))))) (sin (neg (* 1/2 (PI)))))))
#s(approx (- 1 (sin (neg (+ (* 2 x) (/ (PI) 2))))) #s(hole binary64 (- (+ 1 (* x (- (* 2 (* x (sin (neg (* 1/2 (PI)))))) (* -2 (cos (neg (* 1/2 (PI)))))))) (sin (neg (* 1/2 (PI)))))))
#s(approx (- 1 (sin (neg (+ (* 2 x) (/ (PI) 2))))) #s(hole binary64 (- (+ 1 (* x (- (* x (- (* -4/3 (* x (cos (neg (* 1/2 (PI)))))) (* -2 (sin (neg (* 1/2 (PI))))))) (* -2 (cos (neg (* 1/2 (PI)))))))) (sin (neg (* 1/2 (PI)))))))
#s(approx (sin (neg (+ (* 2 x) (/ (PI) 2)))) #s(hole binary64 (sin (neg (* 1/2 (PI))))))
#s(approx (sin (neg (+ (* 2 x) (/ (PI) 2)))) #s(hole binary64 (+ (sin (neg (* 1/2 (PI)))) (* -2 (* x (cos (neg (* 1/2 (PI)))))))))
#s(approx (sin (neg (+ (* 2 x) (/ (PI) 2)))) #s(hole binary64 (+ (sin (neg (* 1/2 (PI)))) (* x (+ (* -2 (cos (neg (* 1/2 (PI))))) (* -2 (* x (sin (neg (* 1/2 (PI)))))))))))
#s(approx (sin (neg (+ (* 2 x) (/ (PI) 2)))) #s(hole binary64 (+ (sin (neg (* 1/2 (PI)))) (* x (+ (* -2 (cos (neg (* 1/2 (PI))))) (* x (+ (* -2 (sin (neg (* 1/2 (PI))))) (* 4/3 (* x (cos (neg (* 1/2 (PI)))))))))))))
#s(approx (neg (+ (* 2 x) (/ (PI) 2))) #s(hole binary64 (* -1/2 (PI))))
#s(approx (neg (+ (* 2 x) (/ (PI) 2))) #s(hole binary64 (- (* -2 x) (* 1/2 (PI)))))
#s(approx (+ (* 2 x) (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (* 2 x) (/ (PI) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 x))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (/ (sin eps) (* (cos x) (cos (+ eps x))))))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (* (cos x) (cos (+ eps x)))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos (+ eps x))))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
#s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) #s(hole binary64 (* 2 (/ eps (+ 1 (cos (* 2 x)))))))
#s(approx (+ (* (* x x) eps) eps) #s(hole binary64 (* eps (pow x 2))))
#s(approx (+ (* (* x x) eps) eps) #s(hole binary64 (* (pow x 2) (+ eps (/ eps (pow x 2))))))
#s(approx (/ 2 (- 1 (neg (cos (+ x x))))) #s(hole binary64 (/ 2 (+ 1 (cos (* 2 x))))))
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) #s(hole binary64 (* 2/3 (pow x 4))))
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 2/3 (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 2/3 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))))
#s(approx (+ (* 2/3 (* x x)) 1) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (+ (* 2/3 (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 2/3 (/ 1 (pow x 2))))))
#s(approx (- 1 (neg (cos (+ x x)))) #s(hole binary64 (+ 1 (cos (* 2 x)))))
#s(approx (+ (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (* x x)) 2) #s(hole binary64 (* -4/45 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (* x x)) 2) #s(hole binary64 (* (pow x 6) (- (* 2/3 (/ 1 (pow x 2))) 4/45))))
#s(approx (+ (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (* x x)) 2) #s(hole binary64 (* (pow x 6) (- (* 2/3 (/ 1 (pow x 2))) (+ 4/45 (/ 2 (pow x 4)))))))
#s(approx (+ (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (* x x)) 2) #s(hole binary64 (* (pow x 6) (- (+ (* 2/3 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))) (+ 4/45 (/ 2 (pow x 4)))))))
#s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(hole binary64 (* -4/45 (pow x 4))))
#s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(hole binary64 (* (pow x 4) (- (* 2/3 (/ 1 (pow x 2))) 4/45))))
#s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(hole binary64 (* (pow x 4) (- (* 2/3 (/ 1 (pow x 2))) (+ 4/45 (/ 2 (pow x 4)))))))
#s(approx (+ (* -4/45 (* x x)) 2/3) #s(hole binary64 (* -4/45 (pow x 2))))
#s(approx (+ (* -4/45 (* x x)) 2/3) #s(hole binary64 (* (pow x 2) (- (* 2/3 (/ 1 (pow x 2))) 4/45))))
#s(approx (* (/ 2 (- 1 (sin (neg (+ (* 2 x) (/ (PI) 2)))))) eps) #s(hole binary64 (* 2 (/ eps (- 1 (sin (neg (+ (* 1/2 (PI)) (* 2 x)))))))))
#s(approx (/ 2 (- 1 (sin (neg (+ (* 2 x) (/ (PI) 2)))))) #s(hole binary64 (/ 2 (- 1 (sin (neg (+ (* 1/2 (PI)) (* 2 x))))))))
#s(approx (- 1 (sin (neg (+ (* 2 x) (/ (PI) 2))))) #s(hole binary64 (- 1 (sin (neg (+ (* 1/2 (PI)) (* 2 x)))))))
#s(approx (sin (neg (+ (* 2 x) (/ (PI) 2)))) #s(hole binary64 (sin (neg (+ (* 1/2 (PI)) (* 2 x))))))
#s(approx (neg (+ (* 2 x) (/ (PI) 2))) #s(hole binary64 (* -2 x)))
#s(approx (neg (+ (* 2 x) (/ (PI) 2))) #s(hole binary64 (* x (- (* -1/2 (/ (PI) x)) 2))))
#s(approx (+ (* 2 x) (/ (PI) 2)) #s(hole binary64 (* 2 x)))
#s(approx (+ (* 2 x) (/ (PI) 2)) #s(hole binary64 (* x (+ 2 (* 1/2 (/ (PI) x))))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (* (cos x) (cos (- eps (* -1 x))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos (- eps (* -1 x)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))))
#s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) #s(hole binary64 (* 2 (/ eps (+ 1 (cos (neg (* -2 x))))))))
#s(approx (/ 2 (- 1 (neg (cos (+ x x))))) #s(hole binary64 (/ 2 (+ 1 (cos (neg (* -2 x)))))))
#s(approx (- 1 (neg (cos (+ x x)))) #s(hole binary64 (+ 1 (cos (neg (* -2 x))))))
#s(approx (* (/ 2 (- 1 (sin (neg (+ (* 2 x) (/ (PI) 2)))))) eps) #s(hole binary64 (* 2 (/ eps (- 1 (sin (- (* -2 x) (* 1/2 (PI)))))))))
#s(approx (/ 2 (- 1 (sin (neg (+ (* 2 x) (/ (PI) 2)))))) #s(hole binary64 (/ 2 (- 1 (sin (- (* -2 x) (* 1/2 (PI))))))))
#s(approx (- 1 (sin (neg (+ (* 2 x) (/ (PI) 2))))) #s(hole binary64 (- 1 (sin (- (* -2 x) (* 1/2 (PI)))))))
#s(approx (sin (neg (+ (* 2 x) (/ (PI) 2)))) #s(hole binary64 (sin (- (* -2 x) (* 1/2 (PI))))))
#s(approx (neg (+ (* 2 x) (/ (PI) 2))) #s(hole binary64 (* -1 (* x (+ 2 (* 1/2 (/ (PI) x)))))))
#s(approx (+ (* 2 x) (/ (PI) 2)) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (PI) x)) 2)))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (/ eps (pow (cos x) 2))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3))))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))))
#s(approx (sin eps) #s(hole binary64 eps))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx (* (+ (* (+ (* 1/120 (* eps eps)) -1/6) (* eps eps)) 1) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (+ (* 1/120 (* eps eps)) -1/6) (* eps eps)) 1) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* (+ (* 1/120 (* eps eps)) -1/6) (* eps eps)) 1) eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (+ (* (+ (* 1/120 (* eps eps)) -1/6) (* eps eps)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/120 (* eps eps)) -1/6) (* eps eps)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* (+ (* 1/120 (* eps eps)) -1/6) (* eps eps)) 1) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))))
#s(approx (+ (* 1/120 (* eps eps)) -1/6) #s(hole binary64 -1/6))
#s(approx (+ (* 1/120 (* eps eps)) -1/6) #s(hole binary64 (- (* 1/120 (pow eps 2)) 1/6)))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx eps #s(hole binary64 eps))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (pow (cos x) 2)))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2))))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2))))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos x)))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos x) (* -1 (* eps (sin x))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) #s(hole binary64 (+ (cos x) (* -1 (* eps (sin x))))))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (+ (* (* x x) eps) eps) #s(hole binary64 (* eps (+ 1 (pow x 2)))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (* (+ (* (+ (* 1/120 (* eps eps)) -1/6) (* eps eps)) 1) eps) #s(hole binary64 (* 1/120 (pow eps 5))))
#s(approx (* (+ (* (+ (* 1/120 (* eps eps)) -1/6) (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 5) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))))
#s(approx (* (+ (* (+ (* 1/120 (* eps eps)) -1/6) (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 5) (- (+ 1/120 (/ 1 (pow eps 4))) (* 1/6 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (+ (* 1/120 (* eps eps)) -1/6) (* eps eps)) 1) #s(hole binary64 (* 1/120 (pow eps 4))))
#s(approx (+ (* (+ (* 1/120 (* eps eps)) -1/6) (* eps eps)) 1) #s(hole binary64 (* (pow eps 4) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (+ (* 1/120 (* eps eps)) -1/6) (* eps eps)) 1) #s(hole binary64 (* (pow eps 4) (- (+ 1/120 (/ 1 (pow eps 4))) (* 1/6 (/ 1 (pow eps 2)))))))
#s(approx (+ (* 1/120 (* eps eps)) -1/6) #s(hole binary64 (* 1/120 (pow eps 2))))
#s(approx (+ (* 1/120 (* eps eps)) -1/6) #s(hole binary64 (* (pow eps 2) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) #s(hole binary64 (* -1/2 (* (pow eps 2) (cos x)))))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) #s(hole binary64 (* (pow eps 2) (- (+ (* -1/2 (cos x)) (/ (cos x) (pow eps 2))) (/ (sin x) eps)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) #s(hole binary64 (/ (sin eps) (* (cos x) (cos (- x (* -1 eps)))))))
#s(approx (* (+ (* (+ (* 1/120 (* eps eps)) -1/6) (* eps eps)) 1) eps) #s(hole binary64 (* -1 (* (pow eps 5) (- (* 1/6 (/ 1 (pow eps 2))) 1/120)))))
#s(approx (* (+ (* (+ (* 1/120 (* eps eps)) -1/6) (* eps eps)) 1) eps) #s(hole binary64 (* -1 (* (pow eps 5) (- (* 1/6 (/ 1 (pow eps 2))) (+ 1/120 (/ 1 (pow eps 4))))))))
#s(approx (* (cos x) (cos (+ eps x))) #s(hole binary64 (* (cos x) (cos (- x (* -1 eps))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos (- x (* -1 eps)))))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (sin x) (* -1 (/ (cos x) eps))) eps)) (* -1/2 (cos x))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))))
#s(approx (+ (* (* x x) eps) eps) #s(hole binary64 (* -1 (* eps (- (* -1 (pow x 2)) 1)))))

Outputs
(/.f64 (/.f64 #s(approx (sin eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)) (neg.f64 (cos.f64 x))) (neg.f64 #s(approx (cos (+ eps x)) (fma.f64 eps (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x)))))
(/.f64 (/.f64 #s(approx (sin eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)) (cos.f64 x)) (neg.f64 (neg.f64 #s(approx (cos (+ eps x)) (fma.f64 eps (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x))))))
(/.f64 (/.f64 #s(approx (sin eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)) (cos.f64 x)) #s(approx (cos (+ eps x)) (fma.f64 eps (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x))))
(/.f64 (neg.f64 #s(approx (sin eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps))) (neg.f64 (.f64 (cos.f64 x) #s(approx (cos (+ eps x)) (fma.f64 eps (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x))))))
(/.f64 #s(approx (sin eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)) (.f64 (cos.f64 x) #s(approx (cos (+ eps x)) (fma.f64 eps (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x)))))
(neg.f64 (/.f64 (/.f64 #s(approx (sin eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)) (cos.f64 x)) (neg.f64 #s(approx (cos (+ eps x)) (fma.f64 eps (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x))))))
(neg.f64 (/.f64 (/.f64 #s(approx (sin eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)) (neg.f64 (cos.f64 x))) #s(approx (cos (+ eps x)) (fma.f64 eps (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x)))))
(neg.f64 (/.f64 #s(approx (sin eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)) (neg.f64 (.f64 (cos.f64 x) #s(approx (cos (+ eps x)) (fma.f64 eps (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x)))))))
#s(approx (sin eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))
(neg.f64 (neg.f64 #s(approx (sin eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))))
(.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)
(.f64 eps (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 eps eps) (.f64 (.f64 (neg.f64 eps) (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) eps) eps)) (.f64 (neg.f64 eps) (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) eps) eps)))) (+.f64 eps (.f64 (neg.f64 eps) (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) eps) eps))))
(/.f64 (-.f64 (.f64 eps eps) (.f64 (.f64 (.f64 (.f64 (neg.f64 eps) eps) (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) eps) (.f64 (.f64 (.f64 (neg.f64 eps) eps) (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) eps))) (+.f64 eps (.f64 (.f64 (.f64 (neg.f64 eps) eps) (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) eps)))
(/.f64 (-.f64 (.f64 (.f64 eps eps) eps) (pow.f64 (.f64 (neg.f64 eps) (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) eps) eps)) #s(literal 3 binary64))) (fma.f64 eps eps (fma.f64 (.f64 (neg.f64 eps) (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) eps) eps)) (.f64 (neg.f64 eps) (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) eps) eps)) (.f64 eps (.f64 (neg.f64 eps) (.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) eps) eps))))))
(/.f64 (-.f64 (.f64 (.f64 eps eps) eps) (pow.f64 (.f64 (.f64 (.f64 (neg.f64 eps) eps) (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) eps) #s(literal 3 binary64))) (fma.f64 eps eps (fma.f64 (.f64 (.f64 (.f64 (neg.f64 eps) eps) (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) eps) (.f64 (.f64 (.f64 (neg.f64 eps) eps) (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) eps) (.f64 eps (.f64 (.f64 (.f64 (neg.f64 eps) eps) (fma.f64 (*.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) eps)))))
(fma.f64 (.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) eps) eps) eps eps)
(-.f64 eps (.f64 (neg.f64 eps) (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) eps) eps)))
(-.f64 eps (.f64 (.f64 (.f64 (neg.f64 eps) eps) (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) eps))
(+.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) eps) eps) eps) eps)
(+.f64 eps (.f64 (neg.f64 (.f64 (.f64 (neg.f64 eps) eps) (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) eps))
(+.f64 eps (.f64 eps (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) eps) eps)))
(+.f64 eps (.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) eps) eps) eps))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) eps)) eps) (.f64 (neg.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) eps)) eps))) (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) eps)) eps)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (.f64 eps eps)) (.f64 (neg.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (.f64 eps eps))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (neg.f64 eps) eps) (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (.f64 (.f64 (neg.f64 eps) eps) (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 eps) eps) (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))))
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(+.f64 #s(literal -2 binary64) (.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) x))) x))
(+.f64 #s(literal -2 binary64) (.f64 (neg.f64 (fma.f64 #s(literal 4/45 binary64) (.f64 x x) #s(literal -2/3 binary64))) (*.f64 x x)))
(+.f64 #s(literal -2 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) x) x))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal -4/45 binary64)) (.f64 (.f64 x x) #s(literal -4/45 binary64))) #s(literal 4/9 binary64)) (fma.f64 (.f64 #s(literal -4/45 binary64) x) x #s(literal -2/3 binary64)))
(/.f64 (-.f64 #s(literal 4/9 binary64) (.f64 (.f64 (neg.f64 (.f64 #s(literal -4/45 binary64) x)) x) (.f64 (neg.f64 (.f64 #s(literal -4/45 binary64) x)) x))) (+.f64 #s(literal 2/3 binary64) (.f64 (neg.f64 (*.f64 #s(literal -4/45 binary64) x)) x)))
(/.f64 (-.f64 #s(literal 4/9 binary64) (.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal -4/45 binary64)) (.f64 (.f64 (neg.f64 x) x) #s(literal -4/45 binary64)))) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 (neg.f64 x) x) #s(literal -4/45 binary64))))
(/.f64 (-.f64 #s(literal 4/9 binary64) (.f64 (.f64 #s(literal 4/45 binary64) (.f64 x x)) (.f64 #s(literal 4/45 binary64) (.f64 x x)))) (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 4/45 binary64) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -4/45 binary64)) #s(literal 3 binary64)) #s(literal -8/27 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal -4/45 binary64)) (.f64 (.f64 x x) #s(literal -4/45 binary64)) (+.f64 #s(literal 4/9 binary64) (.f64 (.f64 (*.f64 x x) #s(literal -4/45 binary64)) #s(literal -2/3 binary64)))))
(/.f64 (-.f64 #s(literal 8/27 binary64) (pow.f64 (.f64 (neg.f64 (.f64 #s(literal -4/45 binary64) x)) x) #s(literal 3 binary64))) (+.f64 #s(literal 4/9 binary64) (fma.f64 (.f64 (neg.f64 (.f64 #s(literal -4/45 binary64) x)) x) (.f64 (neg.f64 (.f64 #s(literal -4/45 binary64) x)) x) (.f64 #s(literal 2/3 binary64) (.f64 (neg.f64 (*.f64 #s(literal -4/45 binary64) x)) x)))))
(/.f64 (-.f64 #s(literal 8/27 binary64) (pow.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal -4/45 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 4/9 binary64) (fma.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal -4/45 binary64)) (.f64 (.f64 (neg.f64 x) x) #s(literal -4/45 binary64)) (.f64 #s(literal 2/3 binary64) (.f64 (*.f64 (neg.f64 x) x) #s(literal -4/45 binary64))))))
(/.f64 (-.f64 #s(literal 8/27 binary64) (pow.f64 (.f64 #s(literal 4/45 binary64) (.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 4/9 binary64) (fma.f64 (.f64 #s(literal 4/45 binary64) (.f64 x x)) (.f64 #s(literal 4/45 binary64) (.f64 x x)) (.f64 #s(literal 2/3 binary64) (.f64 #s(literal 4/45 binary64) (*.f64 x x))))))
(fma.f64 (*.f64 #s(literal -4/45 binary64) x) x #s(literal 2/3 binary64))
(fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64))
(fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(-.f64 (.f64 (.f64 x x) #s(literal -4/45 binary64)) #s(literal -2/3 binary64))
(-.f64 #s(literal 2/3 binary64) (.f64 (neg.f64 (.f64 #s(literal -4/45 binary64) x)) x))
(-.f64 #s(literal 2/3 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal -4/45 binary64)))
(-.f64 #s(literal 2/3 binary64) (.f64 #s(literal 4/45 binary64) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) #s(literal -4/45 binary64)) #s(literal 2/3 binary64))
(+.f64 #s(literal 2/3 binary64) (.f64 (neg.f64 (neg.f64 (.f64 #s(literal -4/45 binary64) x))) x))
(+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal -4/45 binary64)))
#s(literal -4/45 binary64)
#s(literal -2 binary64)
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (+.f64 eps eps) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))) eps)
(*.f64 #s(literal 2 binary64) (/.f64 eps (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))))
(*.f64 eps (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))))
(/.f64 (*.f64 #s(literal -2 binary64) eps) (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))))
(/.f64 (+.f64 eps eps) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x)))))
(neg.f64 (/.f64 (+.f64 eps eps) (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x)))))))
(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) eps) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))))
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x)))) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))))
(/.f64 #s(literal -2 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x)))))
(neg.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 (+.f64 x x))) (neg.f64 (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (cos.f64 (+.f64 x x))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (cos.f64 (+.f64 x x))) (neg.f64 (cos.f64 (+.f64 x x))) (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x)))))))
(neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))))
(-.f64 (-.f64 #s(literal 1 binary64) (.f64 (sin.f64 #s(literal 0 binary64)) #s(literal 0 binary64))) (.f64 (cos.f64 (+.f64 x x)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))
(+.f64 (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal -1 binary64))) (.f64 (sin.f64 #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal -1 binary64)) (.f64 (cos.f64 (+.f64 x x)) #s(literal -1 binary64))) (.f64 (.f64 (sin.f64 #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 (sin.f64 #s(literal 0 binary64)) #s(literal 0 binary64)))) (neg.f64 (cos.f64 (+.f64 x x))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal -1 binary64)) (.f64 (cos.f64 (+.f64 x x)) #s(literal -1 binary64)) (fma.f64 (.f64 (sin.f64 #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 (sin.f64 #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal -1 binary64)) (*.f64 (sin.f64 #s(literal 0 binary64)) #s(literal 0 binary64))))))
(neg.f64 (cos.f64 (+.f64 x x)))
(sin.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (fma.f64 #s(literal -2 binary64) x (neg.f64 (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
(sin.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
(sin.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (PI.f64) #s(literal -2 binary64))))
(fma.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64))) #s(literal 0 binary64) (*.f64 (neg.f64 (cos.f64 (+.f64 x x))) #s(literal 1 binary64)))
(fma.f64 (sin.f64 #s(literal 0 binary64)) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal -1 binary64)))
(fma.f64 (neg.f64 (cos.f64 x)) (cos.f64 x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(fma.f64 #s(literal -1 binary64) (cos.f64 (+.f64 x x)) (*.f64 #s(literal 0 binary64) (sin.f64 #s(literal 0 binary64))))
(fma.f64 (cos.f64 x) (neg.f64 (cos.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1 binary64) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (neg.f64 (PI.f64)))))
(fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1 binary64) (*.f64 (sin.f64 #s(literal 0 binary64)) #s(literal 0 binary64)))
(-.f64 (.f64 (sin.f64 #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)))
(-.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal -1 binary64)) (.f64 (sin.f64 #s(literal 0 binary64)) #s(literal 0 binary64)))
(cos.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) x (neg.f64 (PI.f64)))))
(cos.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))))
(cos.f64 (+.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (fma.f64 #s(literal -2 binary64) x (neg.f64 (PI.f64))))
(cos.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64)))
(cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)))
(+.f64 (neg.f64 (.f64 (sin.f64 #s(literal 0 binary64)) #s(literal 0 binary64))) (neg.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))))
(+.f64 (neg.f64 (.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x)))) (neg.f64 (.f64 #s(literal 0 binary64) (sin.f64 #s(literal 0 binary64)))))
(+.f64 (.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64))) #s(literal 0 binary64)) (.f64 (neg.f64 (cos.f64 (+.f64 x x))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal -1 binary64) (cos.f64 (+.f64 x x))) (.f64 #s(literal 0 binary64) (sin.f64 #s(literal 0 binary64))))
(+.f64 (.f64 (sin.f64 #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 (cos.f64 (+.f64 x x)) #s(literal -1 binary64)))
(+.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal -1 binary64)) (.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (neg.f64 (PI.f64)))))
(+.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal -1 binary64)) (.f64 (sin.f64 #s(literal 0 binary64)) #s(literal 0 binary64)))
(+.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (.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 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) x))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (neg.f64 (cbrt.f64 (PI.f64))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) x))
(fma.f64 (neg.f64 x) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal -2 binary64)))
(fma.f64 #s(literal -1 binary64) (+.f64 x x) (/.f64 (PI.f64) #s(literal -2 binary64)))
(fma.f64 #s(literal -1 binary64) x (neg.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 #s(literal -2 binary64) x (/.f64 (PI.f64) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (neg.f64 x) (/.f64 (PI.f64) #s(literal -2 binary64)))
(fma.f64 x #s(literal -1 binary64) (neg.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 x #s(literal -2 binary64) (/.f64 (PI.f64) #s(literal -2 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (+.f64 x x))
(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (neg.f64 x)) (neg.f64 x))
(+.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) x))
(+.f64 (neg.f64 x) (neg.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 (PI.f64) #s(literal -2 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) x))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) x) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) x)))))
(neg.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (PI.f64) #s(literal -2 binary64))))
(fma.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal -2 binary64)) (+.f64 x x))
(fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)) (+.f64 x x))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (neg.f64 (cbrt.f64 (PI.f64))) #s(literal -2 binary64)) (+.f64 x x))
(fma.f64 (neg.f64 x) #s(literal -2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 #s(literal -2 binary64) (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 x #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 x x) (/.f64 (PI.f64) #s(literal 2 binary64)))
(-.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x)) (neg.f64 x))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) x))
(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) x)
(+.f64 (+.f64 x x) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 x x))
(+.f64 x (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal -2 binary64)))
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (neg.f64 (cbrt.f64 (PI.f64))) #s(literal -2 binary64)))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(neg.f64 (/.f64 (PI.f64) #s(literal -2 binary64)))
(PI.f64)
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) (tan.f64 eps))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) (fma.f64 x (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (tan.f64 eps)))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) (fma.f64 (fma.f64 (+.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (tan.f64 eps)) x (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) x (tan.f64 eps)))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) (fma.f64 (fma.f64 (fma.f64 (neg.f64 (-.f64 (*.f64 (sin.f64 eps) (fma.f64 (tan.f64 eps) (/.f64 #s(literal 2/3 binary64) (cos.f64 eps)) (/.f64 (-.f64 (pow.f64 (neg.f64 (tan.f64 eps)) #s(literal 3 binary64)) (tan.f64 eps)) (cos.f64 eps)))) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) x (+.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (tan.f64 eps))) x (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) x (tan.f64 eps)))
#s(approx (* (cos x) (cos (+ eps x))) (cos.f64 eps))
#s(approx (* (cos x) (cos (+ eps x))) (-.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x)))
#s(approx (* (cos x) (cos (+ eps x))) (-.f64 (cos.f64 eps) (*.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) x)))
#s(approx (* (cos x) (cos (+ eps x))) (fma.f64 x (-.f64 (.f64 (-.f64 (.f64 (*.f64 (sin.f64 eps) #s(literal 2/3 binary64)) x) (cos.f64 eps)) x) (sin.f64 eps)) (cos.f64 eps)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx x x)
#s(approx (cos (+ eps x)) (cos.f64 eps))
#s(approx (cos (+ eps x)) (-.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x)))
#s(approx (cos (+ eps x)) (fma.f64 x (-.f64 (.f64 (.f64 (cos.f64 eps) x) #s(literal -1/2 binary64)) (sin.f64 eps)) (cos.f64 eps)))
#s(approx (cos (+ eps x)) (fma.f64 x (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal 1/6 binary64) (*.f64 (cos.f64 eps) #s(literal -1/2 binary64))) x) (sin.f64 eps)) (cos.f64 eps)))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) (-.f64 #s(literal 1 binary64) (fma.f64 x eps (.f64 (.f64 eps eps) #s(literal 1/2 binary64)))))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) (fma.f64 (.f64 eps eps) #s(literal -1/2 binary64) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) x) eps) x #s(literal 1 binary64))))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 x eps) #s(literal 1/6 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 eps eps) #s(literal -1/2 binary64))) x) eps) x (fma.f64 (.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x eps)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (* (cos x) eps) -1/2) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (* (* (cos x) eps) -1/2) (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (* (cos x) eps) -1/2) (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/48 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/4 binary64) eps)) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (* (cos x) eps) -1/2) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/1440 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/48 binary64) eps)) (.f64 #s(literal 1/4 binary64) eps)) (.f64 x x) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (cos x) eps) eps)
#s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps))
#s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps))
#s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps))
#s(approx (sin x) x)
#s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 x (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (tan.f64 eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) x (tan.f64 eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (tan.f64 eps))) x (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) x (tan.f64 eps)))
#s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) eps)
#s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (fma.f64 (*.f64 x x) eps eps))
#s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (fma.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) (.f64 #s(literal -1/3 binary64) eps) eps) (.f64 x x) eps))
#s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (fma.f64 (fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 (.f64 eps #s(literal -17/90 binary64)) (.f64 x x) (.f64 #s(literal -1/3 binary64) eps))) (.f64 x x) eps) (.f64 x x) eps))
#s(approx (+ (* (* x x) eps) eps) eps)
#s(approx (+ (* (* x x) eps) eps) (fma.f64 (*.f64 x x) eps eps))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ 2 (- 1 (neg (cos (+ x x))))) #s(literal 1 binary64))
#s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/3 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/3 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* 2/3 (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* 2/3 (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 1 binary64)))
#s(approx (- 1 (neg (cos (+ x x)))) #s(literal 2 binary64))
#s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 2 binary64)))
#s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64)) (.f64 x x) #s(literal 2 binary64)))
#s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x #s(literal 2 binary64)))
(neg.f64 (neg.f64 #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x #s(literal 2 binary64)))))
#s(approx (+ (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (* x x)) 2) #s(literal 2 binary64))
#s(approx (+ (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (* x x)) 2) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 2 binary64)))
#s(approx (+ (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (* x x)) 2) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64)) (.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (* x x)) 2) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x #s(literal 2 binary64)))
#s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) #s(literal -2 binary64))
#s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64)))
#s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (fma.f64 (fma.f64 (.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)))
#s(approx (+ (* -4/45 (* x x)) 2/3) #s(literal 2/3 binary64))
#s(approx (+ (* -4/45 (* x x)) 2/3) (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)))
#s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (/.f64 (+.f64 eps eps) (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64))))))
#s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 3/2 binary64) (PI.f64))) x) eps) (pow.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 3/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (/.f64 (+.f64 eps eps) (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64)))))))
#s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (fma.f64 (fma.f64 (.f64 #s(literal -2 binary64) x) (fma.f64 (.f64 eps (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (PI.f64) #s(literal 1 binary64))))) (pow.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 3/2 binary64) (PI.f64)))) #s(literal 3 binary64)))) #s(literal -4 binary64) (/.f64 (.f64 (sin.f64 (.f64 #s(literal 3/2 binary64) (PI.f64))) (+.f64 eps eps)) (pow.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 3/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal -4 binary64) (.f64 (cos.f64 (.f64 #s(literal 3/2 binary64) (PI.f64))) eps)) (pow.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 3/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) x (/.f64 (+.f64 eps eps) (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64)))))))
#s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (fma.f64 (fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 (cos.f64 x) eps) (sin.f64 x)) (pow.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 3/2 binary64) (PI.f64)))) #s(literal 3 binary64))) #s(literal -4 binary64) (fma.f64 #s(literal -4/3 binary64) (/.f64 (.f64 (cos.f64 (.f64 #s(literal 3/2 binary64) (PI.f64))) eps) (pow.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 3/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (.f64 (.f64 (cos.f64 (.f64 #s(literal 3/2 binary64) (PI.f64))) (-.f64 (/.f64 (.f64 (sin.f64 (.f64 #s(literal 3/2 binary64) (PI.f64))) (+.f64 eps eps)) (pow.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 3/2 binary64) (PI.f64)))) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal -4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (PI.f64) #s(literal 1 binary64))))) eps)) (pow.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 3/2 binary64) (PI.f64)))) #s(literal 4 binary64))))) #s(literal -2 binary64)))) x (fma.f64 (.f64 eps (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (PI.f64) #s(literal 1 binary64))))) (pow.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 3/2 binary64) (PI.f64)))) #s(literal 3 binary64)))) #s(literal -4 binary64) (/.f64 (.f64 (sin.f64 (.f64 #s(literal 3/2 binary64) (PI.f64))) (+.f64 eps eps)) (pow.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 3/2 binary64) (PI.f64)))) #s(literal 2 binary64)))))) x (/.f64 (.f64 #s(literal -4 binary64) (.f64 (cos.f64 (.f64 #s(literal 3/2 binary64) (PI.f64))) eps)) (pow.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 3/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) x (/.f64 (+.f64 eps eps) (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 3/2 binary64) (PI.f64)))))))
#s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64))))))
#s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 (cos.f64 (.f64 #s(literal 3/2 binary64) (PI.f64))) x) (pow.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 3/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 3/2 binary64) (PI.f64)))))))
#s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 (fma.f64 (neg.f64 x) (fma.f64 #s(literal -8 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (PI.f64) #s(literal 1 binary64))))) (pow.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 3/2 binary64) (PI.f64)))) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal 4 binary64) (sin.f64 (.f64 #s(literal 3/2 binary64) (PI.f64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 3/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 4 binary64) (cos.f64 (.f64 #s(literal 3/2 binary64) (PI.f64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 3/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 3/2 binary64) (PI.f64)))))))
#s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 3/2 binary64) (PI.f64)))) #s(literal 3 binary64))) #s(literal -8 binary64) (fma.f64 (/.f64 (cos.f64 (.f64 #s(literal 3/2 binary64) (PI.f64))) (pow.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 3/2 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal -8/3 binary64) (.f64 (.f64 (cos.f64 (.f64 #s(literal 3/2 binary64) (PI.f64))) (-.f64 (/.f64 (.f64 #s(literal 4 binary64) (sin.f64 (.f64 #s(literal 3/2 binary64) (PI.f64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 3/2 binary64) (PI.f64)))) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal -8 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (PI.f64) #s(literal 1 binary64)))))) (pow.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 3/2 binary64) (PI.f64)))) #s(literal 4 binary64))))) #s(literal -2 binary64)))) (neg.f64 x) (fma.f64 #s(literal 8 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (PI.f64) #s(literal 1 binary64))))) (pow.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 3/2 binary64) (PI.f64)))) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal 4 binary64) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 3/2 binary64) (PI.f64)))) #s(literal 2 binary64))))) x (.f64 #s(literal -4 binary64) (/.f64 (cos.f64 (.f64 #s(literal 3/2 binary64) (PI.f64))) (pow.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 3/2 binary64) (PI.f64)))) #s(literal 2 binary64))))) x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 3/2 binary64) (PI.f64)))))))
#s(approx (- 1 (neg (cos (+ x x)))) (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64)))))
#s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (cos.f64 (.f64 #s(literal 3/2 binary64) (PI.f64))) (+.f64 x x) (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 3/2 binary64) (PI.f64))))))
#s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (.f64 #s(literal 2 binary64) (fma.f64 (sin.f64 (.f64 #s(literal 3/2 binary64) (PI.f64))) x (cos.f64 (.f64 #s(literal 3/2 binary64) (PI.f64))))) x (-.f64 #s(literal 1 binary64) (sin.f64 (.f64 #s(literal 3/2 binary64) (PI.f64))))))
#s(approx (- 1 (neg (cos (+ x x)))) (-.f64 (fma.f64 (fma.f64 x (fma.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -2 binary64) (.f64 (.f64 (cos.f64 (.f64 #s(literal 3/2 binary64) (PI.f64))) x) #s(literal -4/3 binary64))) (.f64 (cos.f64 (.f64 #s(literal 3/2 binary64) (PI.f64))) #s(literal 2 binary64))) x #s(literal 1 binary64)) (sin.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64)))))
#s(approx (sin (neg (+ (* 2 x) (/ (PI) 2)))) (sin.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64))))
#s(approx (sin (neg (+ (* 2 x) (/ (PI) 2)))) (fma.f64 (cos.f64 (.f64 #s(literal 3/2 binary64) (PI.f64))) (+.f64 x x) (sin.f64 (.f64 #s(literal 3/2 binary64) (PI.f64)))))
#s(approx (sin (neg (+ (* 2 x) (/ (PI) 2)))) (fma.f64 x (.f64 #s(literal -2 binary64) (fma.f64 (sin.f64 (.f64 #s(literal 3/2 binary64) (PI.f64))) x (cos.f64 (.f64 #s(literal 3/2 binary64) (PI.f64))))) (sin.f64 (.f64 #s(literal 3/2 binary64) (PI.f64)))))
#s(approx (sin (neg (+ (* 2 x) (/ (PI) 2)))) (fma.f64 (fma.f64 x (fma.f64 #s(literal 4/3 binary64) (.f64 (cos.f64 (.f64 #s(literal 3/2 binary64) (PI.f64))) x) (.f64 (sin.f64 (.f64 #s(literal 3/2 binary64) (PI.f64))) #s(literal -2 binary64))) (.f64 (cos.f64 (.f64 #s(literal 3/2 binary64) (PI.f64))) #s(literal -2 binary64))) x (sin.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64)))))
#s(approx (neg (+ (* 2 x) (/ (PI) 2))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
#s(approx (neg (+ (* 2 x) (/ (PI) 2))) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) x)))
#s(approx (+ (* 2 x) (/ (PI) 2)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
#s(approx (+ (* 2 x) (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x)))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
#s(approx (* (cos x) (cos (+ eps x))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
#s(approx (cos x) (cos.f64 x))
#s(approx (cos (+ eps x)) (cos.f64 (+.f64 x eps)))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) (fma.f64 eps (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)))
#s(approx (* (* (cos x) eps) -1/2) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)))
#s(approx (* (cos x) eps) (*.f64 (cos.f64 x) eps))
#s(approx (sin x) (sin.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
#s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (/.f64 (+.f64 eps eps) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))))
#s(approx (+ (* (* x x) eps) eps) (.f64 (.f64 x x) eps))
#s(approx (+ (* (* x x) eps) eps) (.f64 (+.f64 (/.f64 eps (.f64 x x)) eps) (*.f64 x x)))
#s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))))
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 2/3 binary64)))
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 2/3 binary64) (.f64 x x)))
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) (fma.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 2/3 binary64) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (+ (* 2/3 (* x x)) 1) (.f64 (.f64 x x) #s(literal 2/3 binary64)))
#s(approx (+ (* 2/3 (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 1 binary64)))
#s(approx (- 1 (neg (cos (+ x x)))) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (* x x)) 2) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) #s(literal -4/45 binary64)))
#s(approx (+ (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (* x x)) 2) (.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 4/45 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x))))
#s(approx (+ (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (* x x)) 2) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 4/45 binary64)) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x))))
#s(approx (+ (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (* x x)) 2) (.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (.f64 x x)) (/.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 4/45 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x))))
#s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -4/45 binary64)))
#s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 4/45 binary64)) (.f64 (.f64 x x) (*.f64 x x))))
#s(approx (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 4/45 binary64)) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (+ (* -4/45 (* x x)) 2/3) (.f64 (.f64 x x) #s(literal -4/45 binary64)))
#s(approx (+ (* -4/45 (* x x)) 2/3) (.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 4/45 binary64)) (*.f64 x x)))
#s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (/.f64 (+.f64 eps eps) (-.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 3/2 binary64) (PI.f64)))))))
#s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 3/2 binary64) (PI.f64)))))))
#s(approx (- 1 (neg (cos (+ x x)))) (-.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 3/2 binary64) (PI.f64))))))
#s(approx (sin (neg (+ (* 2 x) (/ (PI) 2)))) (sin.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 3/2 binary64) (PI.f64)))))
#s(approx (neg (+ (* 2 x) (/ (PI) 2))) (*.f64 #s(literal -2 binary64) x))
#s(approx (neg (+ (* 2 x) (/ (PI) 2))) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal -1/2 binary64) #s(literal -2 binary64)) x))
#s(approx (+ (* 2 x) (/ (PI) 2)) (+.f64 x x))
#s(approx (+ (* 2 x) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) #s(literal 2 binary64)) x))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
#s(approx (* (cos x) (cos (+ eps x))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
#s(approx (cos (+ eps x)) (cos.f64 (+.f64 x eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
#s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (/.f64 (+.f64 eps eps) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))))
#s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64))))
#s(approx (- 1 (neg (cos (+ x x)))) (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)))
#s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (/.f64 (+.f64 eps eps) (-.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 3/2 binary64) (PI.f64)))))))
#s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 3/2 binary64) (PI.f64)))))))
#s(approx (- 1 (neg (cos (+ x x)))) (-.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 3/2 binary64) (PI.f64))))))
#s(approx (sin (neg (+ (* 2 x) (/ (PI) 2)))) (sin.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 3/2 binary64) (PI.f64)))))
#s(approx (neg (+ (* 2 x) (/ (PI) 2))) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal -1/2 binary64) #s(literal -2 binary64)) x))
#s(approx (+ (* 2 x) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) #s(literal 2 binary64)) x))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) (/.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) (.f64 (fma.f64 (/.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (tan.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) eps))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) (.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 (/.f64 #s(literal 1/6 binary64) (+.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)))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) eps (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (tan.f64 x))) eps (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) eps))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 (/.f64 #s(literal 1/6 binary64) (+.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)))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) (tan.f64 x) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (tan.f64 x)) #s(literal 1/3 binary64))) eps (-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 (/.f64 #s(literal 1/6 binary64) (+.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)))) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))))) eps (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (tan.f64 x))) eps (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) eps))
#s(approx (sin eps) eps)
#s(approx (sin eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))
#s(approx (sin eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))
(neg.f64 (neg.f64 #s(approx (sin eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))))
#s(approx (sin eps) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 eps eps) #s(literal 1/120 binary64)) (.f64 eps eps) #s(literal -1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (* (+ (* (+ (* 1/120 (* eps eps)) -1/6) (* eps eps)) 1) eps) eps)
#s(approx (* (+ (* (+ (* 1/120 (* eps eps)) -1/6) (* eps eps)) 1) eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))
#s(approx (* (+ (* (+ (* 1/120 (* eps eps)) -1/6) (* eps eps)) 1) eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (+ (* (+ (* 1/120 (* eps eps)) -1/6) (* eps eps)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/120 (* eps eps)) -1/6) (* eps eps)) 1) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/120 (* eps eps)) -1/6) (* eps eps)) 1) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)))
#s(approx (+ (* 1/120 (* eps eps)) -1/6) #s(literal -1/6 binary64))
#s(approx (+ (* 1/120 (* eps eps)) -1/6) (fma.f64 (*.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
#s(approx (* eps eps) (*.f64 eps eps))
#s(approx eps eps)
#s(approx (* (cos x) (cos (+ eps x))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
#s(approx (* (cos x) (cos (+ eps x))) (+.f64 (fma.f64 (.f64 (cos.f64 x) eps) (sin.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
#s(approx (* (cos x) (cos (+ eps x))) (fma.f64 (fma.f64 (sin.f64 x) (cos.f64 x) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) eps) #s(literal -1/2 binary64))) eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
#s(approx (* (cos x) (cos (+ eps x))) (fma.f64 (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) (sin.f64 x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal -1/2 binary64))) (.f64 (sin.f64 x) (cos.f64 x))) eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
#s(approx (cos (+ eps x)) (cos.f64 x))
#s(approx (cos (+ eps x)) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) eps)))
#s(approx (cos (+ eps x)) (fma.f64 eps (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x)))
#s(approx (cos (+ eps x)) (fma.f64 eps (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) (sin.f64 x)) (cos.f64 x)))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) (cos.f64 x))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) eps)))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) (fma.f64 eps (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (neg.f64 (sin.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (tan.f64 x)) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (fma.f64 (fma.f64 (neg.f64 eps) (-.f64 (fma.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/6 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (tan.f64 x))) eps #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (tan.f64 x)) #s(literal -1/3 binary64) (.f64 (-.f64 (fma.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/6 binary64))) (tan.f64 x))) (neg.f64 eps) (-.f64 #s(literal -1/6 binary64) (-.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))) eps (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (tan.f64 x))) eps (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (+ (* (* x x) eps) eps) (fma.f64 (*.f64 x x) eps eps))
#s(approx (sin eps) (sin.f64 eps))
#s(approx (* (+ (* (+ (* 1/120 (* eps eps)) -1/6) (* eps eps)) 1) eps) (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1/120 binary64)))
#s(approx (* (+ (* (+ (* 1/120 (* eps eps)) -1/6) (* eps eps)) 1) eps) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (* (+ (* (+ (* 1/120 (* eps eps)) -1/6) (* eps eps)) 1) eps) (.f64 (+.f64 #s(literal 1/120 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (/.f64 #s(literal 1/6 binary64) (*.f64 eps eps)))) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (+ (* (+ (* 1/120 (* eps eps)) -1/6) (* eps eps)) 1) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 1/120 binary64)))
#s(approx (+ (* (+ (* 1/120 (* eps eps)) -1/6) (* eps eps)) 1) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 eps eps)))))
#s(approx (+ (* (+ (* 1/120 (* eps eps)) -1/6) (* eps eps)) 1) (.f64 (+.f64 #s(literal 1/120 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (/.f64 #s(literal 1/6 binary64) (.f64 eps eps)))) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (+ (* 1/120 (* eps eps)) -1/6) (.f64 (.f64 eps eps) #s(literal 1/120 binary64)))
#s(approx (+ (* 1/120 (* eps eps)) -1/6) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 eps eps))) (*.f64 eps eps)))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) (.f64 (.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal -1/2 binary64)))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) (.f64 (-.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) (/.f64 (sin.f64 x) eps)) (*.f64 eps eps)))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) (.f64 (-.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps)) (*.f64 eps eps)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (.f64 (-.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) (/.f64 (sin.f64 x) eps)) eps))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
#s(approx (* (+ (* (+ (* 1/120 (* eps eps)) -1/6) (* eps eps)) 1) eps) (.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1/120 binary64)))))
#s(approx (* (+ (* (+ (* 1/120 (* eps eps)) -1/6) (* eps eps)) 1) eps) (.f64 (neg.f64 (pow.f64 eps #s(literal 5 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1/120 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps))))))
#s(approx (* (cos x) (cos (+ eps x))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
#s(approx (cos (+ eps x)) (cos.f64 (+.f64 x eps)))
#s(approx (+ (* eps (- (* (* (cos x) eps) -1/2) (sin x))) (cos x)) (.f64 (-.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps)) (*.f64 eps eps)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (.f64 (-.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) (/.f64 (sin.f64 x) eps)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
#s(approx (+ (* (* x x) eps) eps) (.f64 (neg.f64 eps) (-.f64 (.f64 (neg.f64 x) x) #s(literal 1 binary64))))

eval98.0ms (0.9%)

Memory: -1.1MiB live, 132.7MiB allocated; 15ms collecting garbage
Compiler: Compiled 10 678 to 4 555 computations (57.3% saved)

prune32.0ms (0.3%)

Memory

-5.2MiB live, 47.2MiB allocated; 6ms collecting garbage

Pruning

27 alts after pruning (21 fresh and 6 done)

	Pruned	Kept	Total
New	733	7	740
Fresh	1	14	15
Picked	3	2	5
Done	0	4	4
Total	737	27	764

Accuracy

100.0%

Counts

764 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(/.f64 #s(approx (sin eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)) (.f64 (cos.f64 x) #s(approx (cos (+ eps x)) (fma.f64 eps (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x)))))
	100.0%	(/.f64 #s(approx (sin eps) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 eps x))))
	99.9%	(/.f64 #s(approx (sin eps) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)) (*.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 eps x))))
	99.9%	(/.f64 #s(approx (sin eps) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)) (*.f64 (cos.f64 x) (sin.f64 (+.f64 (neg.f64 (+.f64 x eps)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
✓	99.9%	(/.f64 #s(approx (sin eps) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	99.9%	(/.f64 #s(approx (sin eps) #s(approx (* (+ (* -1/6 (* eps eps)) 1) eps) eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (+.f64 eps eps) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x #s(literal 2 binary64)))))
	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) eps))
	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) eps))
	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (neg (+ ( 2 x) (/ (PI) 2))) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) x)))))) eps))
✓	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))))) eps))
	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) eps))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) #s(approx (cos (+ ( -2 x) (PI))) (fma.f64 (fma.f64 #s(literal -2/3 binary64) (.f64 x x) #s(literal 2 binary64)) (.f64 x x) #s(literal -1 binary64))))) eps))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64)) (*.f64 x x) #s(literal 2 binary64)))) eps))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) x) x #s(literal 2 binary64)))) eps))
	98.6%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 2 binary64)))) eps))
	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (-.f64 (cos.f64 (+.f64 x x)) #s(literal -1 binary64)))) eps))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
✓	98.8%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 x x #s(literal 1 binary64))) eps))
	2.9%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 (+.f64 eps (PI.f64)) (PI.f64))))
✓	98.3%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
✓	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (fma.f64 (*.f64 x x) eps eps)))
	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (/.f64 (+.f64 eps eps) (-.f64 (cos.f64 (+.f64 x x)) #s(literal -1 binary64)))))
	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (/.f64 (+.f64 eps eps) (-.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 3/2 binary64) (PI.f64))))))))
	98.3%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps)))
✓	98.3%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) eps))

Compiler

Compiled 960 to 776 computations (19.2% saved)

regimes35.0ms (0.3%)

Memory

-5.8MiB live, 39.9MiB allocated; 4ms collecting garbage

Counts

44 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (fma.f64 (*.f64 x x) eps eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 x x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (/ 2 (- 1 (cos (+ ( -2 x) (PI))))) (fma.f64 (-.f64 #s(literal 0 binary64) (neg.f64 x)) x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) #s(approx (cos (+ ( -2 x) (PI))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) x #s(literal -1 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64)) (*.f64 x x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) #s(approx (cos (+ ( -2 x) (PI))) (fma.f64 (fma.f64 #s(literal -2/3 binary64) (.f64 x x) #s(literal 2 binary64)) (.f64 x x) #s(literal -1 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (+.f64 eps eps) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x #s(literal 2 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) x) x #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 (+.f64 eps (PI.f64)) (PI.f64))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (/.f64 (+.f64 eps eps) (-.f64 (cos.f64 (+.f64 x x)) #s(literal -1 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (-.f64 (cos.f64 (+.f64 x x)) #s(literal -1 binary64)))) eps))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) (/.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (/.f64 (+.f64 eps eps) (-.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 3/2 binary64) (PI.f64))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (neg (+ ( 2 x) (/ (PI) 2))) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) x)))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) eps))
(/.f64 #s(approx (sin eps) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/.f64 #s(approx (sin eps) #s(approx (* (+ (* -1/6 (* eps eps)) 1) eps) eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
(/.f64 #s(approx (sin eps) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/.f64 #s(approx (sin eps) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)) (*.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 eps x))))
(/.f64 #s(approx (sin eps) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)) (*.f64 (cos.f64 x) (sin.f64 (+.f64 (neg.f64 (+.f64 x eps)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 #s(approx (sin eps) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 eps x))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/.f64 (sin.f64 eps) (*.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 eps x))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (sin.f64 (+.f64 (neg.f64 (+.f64 eps x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (sin.f64 eps) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 eps x))))
(/.f64 #s(approx (sin eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)) (.f64 (cos.f64 x) #s(approx (cos (+ eps x)) (fma.f64 eps (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x)))))
(/.f64 #s(approx (sin eps) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 eps eps) #s(literal -1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)) (.f64 (cos.f64 x) #s(approx (cos (+ eps x)) (fma.f64 eps (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x)))))
(/.f64 (sin.f64 eps) (.f64 (cos.f64 x) #s(approx (cos (+ eps x)) (fma.f64 eps (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x)))))

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

Outputs

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

Calls

3 calls:

12.0ms	x
10.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
10.0ms	eps

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes32.0ms (0.3%)

Memory

-8.5MiB live, 37.3MiB allocated; 2ms collecting garbage

Counts

41 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (fma.f64 (*.f64 x x) eps eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 x x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (/ 2 (- 1 (cos (+ ( -2 x) (PI))))) (fma.f64 (-.f64 #s(literal 0 binary64) (neg.f64 x)) x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) #s(approx (cos (+ ( -2 x) (PI))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) x #s(literal -1 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64)) (*.f64 x x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) #s(approx (cos (+ ( -2 x) (PI))) (fma.f64 (fma.f64 #s(literal -2/3 binary64) (.f64 x x) #s(literal 2 binary64)) (.f64 x x) #s(literal -1 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (+.f64 eps eps) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x #s(literal 2 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) x) x #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 (+.f64 eps (PI.f64)) (PI.f64))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (/.f64 (+.f64 eps eps) (-.f64 (cos.f64 (+.f64 x x)) #s(literal -1 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (-.f64 (cos.f64 (+.f64 x x)) #s(literal -1 binary64)))) eps))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) (/.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (/.f64 (+.f64 eps eps) (-.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 3/2 binary64) (PI.f64))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (neg (+ ( 2 x) (/ (PI) 2))) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) x)))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) eps))
(/.f64 #s(approx (sin eps) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/.f64 #s(approx (sin eps) #s(approx (* (+ (* -1/6 (* eps eps)) 1) eps) eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
(/.f64 #s(approx (sin eps) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/.f64 #s(approx (sin eps) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)) (*.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 eps x))))
(/.f64 #s(approx (sin eps) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)) (*.f64 (cos.f64 x) (sin.f64 (+.f64 (neg.f64 (+.f64 x eps)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 #s(approx (sin eps) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 eps x))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/.f64 (sin.f64 eps) (*.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 eps x))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (sin.f64 (+.f64 (neg.f64 (+.f64 eps x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (sin.f64 eps) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 eps x))))

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

Outputs

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

Calls

3 calls:

11.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
10.0ms	eps
9.0ms	x

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes27.0ms (0.2%)

Memory

33.1MiB live, 33.1MiB allocated; 0ms collecting garbage

Counts

36 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (fma.f64 (*.f64 x x) eps eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 x x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (/ 2 (- 1 (cos (+ ( -2 x) (PI))))) (fma.f64 (-.f64 #s(literal 0 binary64) (neg.f64 x)) x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) #s(approx (cos (+ ( -2 x) (PI))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) x #s(literal -1 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64)) (*.f64 x x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) #s(approx (cos (+ ( -2 x) (PI))) (fma.f64 (fma.f64 #s(literal -2/3 binary64) (.f64 x x) #s(literal 2 binary64)) (.f64 x x) #s(literal -1 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (+.f64 eps eps) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x #s(literal 2 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) x) x #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 (+.f64 eps (PI.f64)) (PI.f64))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (/.f64 (+.f64 eps eps) (-.f64 (cos.f64 (+.f64 x x)) #s(literal -1 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (-.f64 (cos.f64 (+.f64 x x)) #s(literal -1 binary64)))) eps))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) (/.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (/.f64 (+.f64 eps eps) (-.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 3/2 binary64) (PI.f64))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (neg (+ ( 2 x) (/ (PI) 2))) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) x)))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) eps))
(/.f64 #s(approx (sin eps) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/.f64 #s(approx (sin eps) #s(approx (* (+ (* -1/6 (* eps eps)) 1) eps) eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
(/.f64 #s(approx (sin eps) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/.f64 #s(approx (sin eps) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)) (*.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 eps x))))
(/.f64 #s(approx (sin eps) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)) (*.f64 (cos.f64 x) (sin.f64 (+.f64 (neg.f64 (+.f64 x eps)) (/.f64 (PI.f64) #s(literal 2 binary64))))))

Outputs

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

Calls

3 calls:

8.0ms	eps
8.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
8.0ms	x

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes28.0ms (0.2%)

Memory

-13.5MiB live, 32.5MiB allocated; 3ms collecting garbage

Counts

35 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (fma.f64 (*.f64 x x) eps eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 x x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (/ 2 (- 1 (cos (+ ( -2 x) (PI))))) (fma.f64 (-.f64 #s(literal 0 binary64) (neg.f64 x)) x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) #s(approx (cos (+ ( -2 x) (PI))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) x #s(literal -1 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64)) (*.f64 x x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) #s(approx (cos (+ ( -2 x) (PI))) (fma.f64 (fma.f64 #s(literal -2/3 binary64) (.f64 x x) #s(literal 2 binary64)) (.f64 x x) #s(literal -1 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (+.f64 eps eps) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x #s(literal 2 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) x) x #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 (+.f64 eps (PI.f64)) (PI.f64))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (/.f64 (+.f64 eps eps) (-.f64 (cos.f64 (+.f64 x x)) #s(literal -1 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (-.f64 (cos.f64 (+.f64 x x)) #s(literal -1 binary64)))) eps))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) (/.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (/.f64 (+.f64 eps eps) (-.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 3/2 binary64) (PI.f64))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (neg (+ ( 2 x) (/ (PI) 2))) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) x)))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) eps))
(/.f64 #s(approx (sin eps) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/.f64 #s(approx (sin eps) #s(approx (* (+ (* -1/6 (* eps eps)) 1) eps) eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
(/.f64 #s(approx (sin eps) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/.f64 #s(approx (sin eps) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)) (*.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 eps x))))

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

Calls

3 calls:

10.0ms	eps
8.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
8.0ms	x

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes89.0ms (0.8%)

Memory

-33.9MiB live, 38.2MiB allocated; 74ms collecting garbage

Counts

33 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (fma.f64 (*.f64 x x) eps eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 x x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (/ 2 (- 1 (cos (+ ( -2 x) (PI))))) (fma.f64 (-.f64 #s(literal 0 binary64) (neg.f64 x)) x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) #s(approx (cos (+ ( -2 x) (PI))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) x #s(literal -1 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64)) (*.f64 x x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) #s(approx (cos (+ ( -2 x) (PI))) (fma.f64 (fma.f64 #s(literal -2/3 binary64) (.f64 x x) #s(literal 2 binary64)) (.f64 x x) #s(literal -1 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (+.f64 eps eps) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x #s(literal 2 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) x) x #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 (+.f64 eps (PI.f64)) (PI.f64))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (/.f64 (+.f64 eps eps) (-.f64 (cos.f64 (+.f64 x x)) #s(literal -1 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (-.f64 (cos.f64 (+.f64 x x)) #s(literal -1 binary64)))) eps))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) (/.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (/.f64 (+.f64 eps eps) (-.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 3/2 binary64) (PI.f64))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (neg (+ ( 2 x) (/ (PI) 2))) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) x)))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) eps))
(/.f64 #s(approx (sin eps) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/.f64 #s(approx (sin eps) #s(approx (* (+ (* -1/6 (* eps eps)) 1) eps) eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))

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

Calls

3 calls:

73.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
8.0ms	eps
8.0ms	x

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes22.0ms (0.2%)

Memory

27.0MiB live, 27.0MiB allocated; 0ms collecting garbage

Counts

29 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (fma.f64 (*.f64 x x) eps eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 x x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (/ 2 (- 1 (cos (+ ( -2 x) (PI))))) (fma.f64 (-.f64 #s(literal 0 binary64) (neg.f64 x)) x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) #s(approx (cos (+ ( -2 x) (PI))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) x #s(literal -1 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64)) (*.f64 x x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) #s(approx (cos (+ ( -2 x) (PI))) (fma.f64 (fma.f64 #s(literal -2/3 binary64) (.f64 x x) #s(literal 2 binary64)) (.f64 x x) #s(literal -1 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (+.f64 eps eps) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x #s(literal 2 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) x) x #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 (+.f64 eps (PI.f64)) (PI.f64))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (/.f64 (+.f64 eps eps) (-.f64 (cos.f64 (+.f64 x x)) #s(literal -1 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (-.f64 (cos.f64 (+.f64 x x)) #s(literal -1 binary64)))) eps))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) (/.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (/.f64 (+.f64 eps eps) (-.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 3/2 binary64) (PI.f64))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (neg (+ ( 2 x) (/ (PI) 2))) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) x)))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) eps))

Outputs

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

Calls

3 calls:

7.0ms	eps
7.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
7.0ms	x

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes19.0ms (0.2%)

Memory

-24.7MiB live, 22.6MiB allocated; 5ms collecting garbage

Counts

22 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (fma.f64 (*.f64 x x) eps eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 x x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (/ 2 (- 1 (cos (+ ( -2 x) (PI))))) (fma.f64 (-.f64 #s(literal 0 binary64) (neg.f64 x)) x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) #s(approx (cos (+ ( -2 x) (PI))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) x #s(literal -1 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64)) (*.f64 x x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) #s(approx (cos (+ ( -2 x) (PI))) (fma.f64 (fma.f64 #s(literal -2/3 binary64) (.f64 x x) #s(literal 2 binary64)) (.f64 x x) #s(literal -1 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (+.f64 eps eps) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x #s(literal 2 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) x) x #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 (+.f64 eps (PI.f64)) (PI.f64))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (/.f64 (+.f64 eps eps) (-.f64 (cos.f64 (+.f64 x x)) #s(literal -1 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (-.f64 (cos.f64 (+.f64 x x)) #s(literal -1 binary64)))) eps))
#s(approx (/ (sin eps) (* (cos x) (cos (+ eps x)))) (/.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 x x))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))))) eps))

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

Calls

3 calls:

7.0ms	x
5.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
5.0ms	eps

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes14.0ms (0.1%)

Memory

18.3MiB live, 18.3MiB allocated; 0ms collecting garbage

Counts

17 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (fma.f64 (*.f64 x x) eps eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 x x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (/ 2 (- 1 (cos (+ ( -2 x) (PI))))) (fma.f64 (-.f64 #s(literal 0 binary64) (neg.f64 x)) x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) #s(approx (cos (+ ( -2 x) (PI))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) x #s(literal -1 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64)) (*.f64 x x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) #s(approx (cos (+ ( -2 x) (PI))) (fma.f64 (fma.f64 #s(literal -2/3 binary64) (.f64 x x) #s(literal 2 binary64)) (.f64 x x) #s(literal -1 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (+.f64 eps eps) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x #s(literal 2 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) x) x #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 (+.f64 eps (PI.f64)) (PI.f64))))

Outputs

#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (+.f64 eps eps) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x #s(literal 2 binary64)))))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.9%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.9%	1	`x`
98.9%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes11.0ms (0.1%)

Memory

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

Counts

12 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (fma.f64 (*.f64 x x) eps eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 x x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (/ 2 (- 1 (cos (+ ( -2 x) (PI))))) (fma.f64 (-.f64 #s(literal 0 binary64) (neg.f64 x)) x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) #s(approx (cos (+ ( -2 x) (PI))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) x #s(literal -1 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64)) (*.f64 x x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) #s(approx (cos (+ ( -2 x) (PI))) (fma.f64 (fma.f64 #s(literal -2/3 binary64) (.f64 x x) #s(literal 2 binary64)) (.f64 x x) #s(literal -1 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))

Outputs

#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.9%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.9%	1	`x`
98.9%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes11.0ms (0.1%)

Memory

-31.9MiB live, 14.5MiB allocated; 3ms collecting garbage

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (fma.f64 (*.f64 x x) eps eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 x x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (/ 2 (- 1 (cos (+ ( -2 x) (PI))))) (fma.f64 (-.f64 #s(literal 0 binary64) (neg.f64 x)) x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) #s(approx (cos (+ ( -2 x) (PI))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) x #s(literal -1 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64)) (*.f64 x x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) #s(approx (cos (+ ( -2 x) (PI))) (fma.f64 (fma.f64 #s(literal -2/3 binary64) (.f64 x x) #s(literal 2 binary64)) (.f64 x x) #s(literal -1 binary64))))) eps))

Outputs

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

Calls

3 calls:

5.0ms	eps
3.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
3.0ms	x

Results

Accuracy	Segments	Branch
98.9%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.9%	1	`x`
98.9%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes9.0ms (0.1%)

Memory

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

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (fma.f64 (*.f64 x x) eps eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 x x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (/ 2 (- 1 (cos (+ ( -2 x) (PI))))) (fma.f64 (-.f64 #s(literal 0 binary64) (neg.f64 x)) x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) #s(approx (cos (+ ( -2 x) (PI))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) x #s(literal -1 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/3 binary64) #s(literal -2 binary64)) (*.f64 x x) #s(literal 2 binary64)))) eps))

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.9%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.9%	1	`x`
98.9%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes8.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB allocated; 0ms collecting garbage

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (fma.f64 (*.f64 x x) eps eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 x x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (/ 2 (- 1 (cos (+ ( -2 x) (PI))))) (fma.f64 (-.f64 #s(literal 0 binary64) (neg.f64 x)) x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) #s(approx (cos (+ ( -2 x) (PI))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) x #s(literal -1 binary64))))) eps))

Outputs

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

Calls

3 calls:

2.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
2.0ms	eps
2.0ms	x

Results

Accuracy	Segments	Branch
98.8%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.8%	1	`x`
98.8%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes8.0ms (0.1%)

Memory

-35.9MiB live, 10.5MiB allocated; 2ms collecting garbage

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (fma.f64 (*.f64 x x) eps eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (/ 2 (- 1 (neg (cos (+ x x))))) (fma.f64 x x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (/ 2 (- 1 (cos (+ ( -2 x) (PI))))) (fma.f64 (-.f64 #s(literal 0 binary64) (neg.f64 x)) x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(literal 2 binary64) #s(approx (- 1 (neg (cos (+ x x)))) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 2 binary64)))) eps))

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

Calls

3 calls:

4.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
2.0ms	eps
2.0ms	x

Results

Accuracy	Segments	Branch
98.7%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.7%	1	`x`
98.7%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes4.0ms (0%)

Memory

7.3MiB live, 7.3MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (/ 2 (- 1 (neg (cos (+ x x))))) eps) (fma.f64 (*.f64 x x) eps eps)))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.7%	1	`x`
98.7%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.7%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes3.0ms (0%)

Memory

6.5MiB live, 6.5MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) eps))

Outputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) eps))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.3%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.3%	1	`x`
98.3%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

derivations1.5s (13.4%)

Memory

35.8MiB live, 492.5MiB allocated; 52ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 188 to 124 computations (34% saved)

preprocess116.0ms (1%)

Memory: 15.3MiB live, 200.6MiB allocated; 38ms collecting garbage
Compiler: Compiled 222 to 154 computations (30.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze39.0ms (0.3%)

sample6.4s (56.1%)

preprocess62.0ms (0.5%)

series12.0ms (0.1%)

rewrite855.0ms (7.5%)

eval18.0ms (0.2%)

prune4.0ms (0%)

series57.0ms (0.5%)

rewrite375.0ms (3.3%)

eval59.0ms (0.5%)

prune14.0ms (0.1%)

series43.0ms (0.4%)

rewrite313.0ms (2.7%)

eval71.0ms (0.6%)

prune20.0ms (0.2%)

series43.0ms (0.4%)

rewrite936.0ms (8.2%)

eval98.0ms (0.9%)

prune32.0ms (0.3%)

regimes35.0ms (0.3%)

regimes32.0ms (0.3%)

regimes27.0ms (0.2%)

regimes28.0ms (0.2%)

regimes89.0ms (0.8%)

regimes22.0ms (0.2%)

regimes19.0ms (0.2%)

regimes14.0ms (0.1%)

regimes11.0ms (0.1%)

regimes11.0ms (0.1%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

derivations1.5s (13.4%)

preprocess116.0ms (1%)

end0.0ms (0%)

Profiling