Metrics for 2tan (problem 3.3.2)

start0.0ms (0%)

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

analyze36.0ms (0.6%)

Memory

-18.5MiB live, 26.2MiB allocated; 9ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample4.1s (66.1%)

Memory

15.3MiB live, 2 788.2MiB allocated; 1.2s collecting garbage

Samples

2.1s	26 439×	0	invalid
684.0ms	5 548×	1	valid
239.0ms	2 708×	0	valid

Precisions

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

ival-tan: 573.0ms (33.4% of total)

ival-fabs: 315.0ms (18.4% of total)

adjust: 229.0ms (13.4% of total)

ival-<: 153.0ms (8.9% of total)

ival-mult!: 129.0ms (7.5% of total)

ival-add!: 125.0ms (7.3% of total)

ival-sub!: 116.0ms (6.8% of total)

ival-and: 62.0ms (3.6% of total)

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

Bogosity

preprocess29.0ms (0.5%)

Memory

14.0MiB live, 14.0MiB allocated; 0ms 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
▶	61.3%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Compiler

Compiled 12 to 12 computations (0% saved)

series11.0ms (0.2%)

Memory

7.8MiB live, 7.8MiB allocated; 0ms collecting garbage

Counts

6 → 31

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 (+ (* 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 (+ 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 (+ 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 (+ (* 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 (+ 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))

rewrite146.0ms (2.4%)

Memory

-5.0MiB live, 85.6MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	196	1230
0	201	1091
1	1265	878
0	8316	848

Stop Event

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

Counts

37 → 82

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

eval9.0ms (0.1%)

Memory: 9.3MiB live, 9.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 080 to 401 computations (62.9% saved)

prune6.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	70	8	78
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	70	9	79

Accuracy

100.0%

Counts

79 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.5%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
▶	61.5%	(-.f64 (+.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
▶	4.0%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (PI.f64))) (tan.f64 x))
	3.9%	(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (tan.f64 x))
✓	61.3%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	60.1%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
▶	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
▶	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
▶	98.1%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))

Compiler

Compiled 218 to 190 computations (12.8% saved)

series51.0ms (0.8%)

Memory

-12.3MiB live, 33.6MiB allocated; 3ms collecting garbage

Counts

32 → 155

Calls

Call 1

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

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 (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 eps))
#s(approx (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* (pow eps 2) x))))
#s(approx (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* x (+ (* eps x) (pow eps 2))))))
#s(approx (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* x (+ (* x (+ eps (* eps (* x (- (* 5/6 eps) (* -1/2 eps)))))) (pow eps 2))))))
#s(approx (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) #s(hole binary64 1))
#s(approx (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* eps x))))
#s(approx (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* x (+ eps x)))))
#s(approx (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps))))))))))
#s(approx (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) #s(hole binary64 (+ 1 (* x (+ eps (* (pow x 2) (- (* 5/6 eps) (* -1/2 eps))))))))
#s(approx (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) #s(hole binary64 (+ 1 (* x (+ eps (* (pow x 2) (- (+ (* 5/6 eps) (* (pow x 2) (- (* 61/120 eps) (+ (* -1/2 (- (* 5/6 eps) (* -1/2 eps))) (* 1/24 eps))))) (* -1/2 eps))))))))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 x))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 (* x (+ 1 (* 4/3 (pow x 2))))))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 4/3 (* 17/15 (pow x 2))))))))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/15 (* 248/315 (pow x 2))))))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) #s(hole binary64 (* x (+ 1 (* 5/6 (pow x 2))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2))))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 5/6 (* (pow x 2) (+ 61/120 (* 277/1008 (pow x 2))))))))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (- (* -2/3 (pow x 2)) 1))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -62/315 (pow x 2)) 17/45)) 2/3)) 1))))
#s(approx (pow (tan x) 2) #s(hole binary64 (pow x 2)))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#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 (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 (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 (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* eps (pow x 2)))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2))))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* (pow x 2) (+ (* 17/45 (* eps (pow x 2))) (* 2/3 eps))))))))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI)))))))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (+ (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))) (/ (* x (pow (sin (+ eps (* 2 (PI)))) 2)) (pow (cos (+ eps (* 2 (PI)))) 2)))))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (+ (* x (- (/ (* x (* (sin (+ eps (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2)))))) (cos (+ eps (* 2 (PI))))) (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin (+ eps (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (pow (cos (+ eps (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ eps (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (cos (+ eps (* 2 (PI)))))))) (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))))
#s(approx (tan (+ (+ (+ eps x) (PI)) (PI))) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))))
#s(approx (tan (+ (+ (+ eps x) (PI)) (PI))) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin (+ eps (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2)))))) (cos (+ eps (* 2 (PI)))))) (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))))
#s(approx (tan (+ (+ (+ eps x) (PI)) (PI))) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ eps (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (pow (cos (+ eps (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ eps (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (cos (+ eps (* 2 (PI))))))))) (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))))
#s(approx (+ (+ (+ eps x) (PI)) (PI)) #s(hole binary64 (+ eps (* 2 (PI)))))
#s(approx (+ (+ (+ eps x) (PI)) (PI)) #s(hole binary64 (+ eps (+ x (* 2 (PI))))))
#s(approx (+ (+ eps x) (PI)) #s(hole binary64 (+ eps (PI))))
#s(approx (+ (+ eps x) (PI)) #s(hole binary64 (+ eps (+ x (PI)))))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (- (+ (/ (tan x) (- 1 (* (tan x) (tan eps)))) (/ (tan eps) (- 1 (* (tan x) (tan eps))))) (tan 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 (- (+ (/ (tan x) (- 1 (* (tan x) (tan eps)))) (/ (tan eps) (- 1 (* (tan x) (tan eps))))) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (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 (+ (/ (tan x) (- 1 (* (tan x) (tan eps)))) (/ (tan eps) (- 1 (* (tan x) (tan eps))))) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (+ (/ (tan x) (- 1 (* (tan x) (tan eps)))) (/ (tan eps) (- 1 (* (tan x) (tan eps))))) #s(hole binary64 (+ (* x (- (+ 1 (* -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 (+ (/ (tan x) (- 1 (* (tan x) (tan eps)))) (/ (tan eps) (- 1 (* (tan x) (tan eps))))) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* x (- 1/3 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (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 (/ (tan x) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (* x (+ 1 (/ (* x (sin eps)) (cos eps))))))
#s(approx (/ (tan x) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (* x (+ 1 (* x (- (* x (- 1/3 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1 (/ (sin eps) (cos eps)))))))))
#s(approx (/ (tan x) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (* x (+ 1 (* x (- (* x (- (+ 1/3 (* -1 (* x (+ (* -1 (/ (* (sin eps) (- 1/3 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (* -1/3 (/ (sin eps) (cos eps))))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1 (/ (sin eps) (cos eps)))))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (* x (sin eps)) (cos eps))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* x (- (* -1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps)))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* x (- (* (pow x 2) (- (* -2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (/ (* x (sin eps)) (cos eps))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* 1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/3 (/ (sin eps) (cos eps))) (* (pow x 2) (+ (* 17/315 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 2/15 (/ (sin eps) (cos eps))))))) (/ (sin eps) (cos eps))))))
#s(approx (/ (tan eps) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (+ (* x (- (/ (* x (pow (sin eps) 3)) (pow (cos eps) 3)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (/ (tan eps) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
#s(approx (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) #s(hole binary64 (+ 1 (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) #s(hole binary64 (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (pow (tan x) 2) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (- (/ (sin (+ eps (+ x (* 2 (PI))))) (cos (+ eps (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ (+ (+ eps x) (PI)) (PI))) #s(hole binary64 (/ (sin (+ eps (+ x (* 2 (PI))))) (cos (+ eps (+ x (* 2 (PI))))))))
#s(approx (+ (+ (+ eps x) (PI)) (PI)) #s(hole binary64 (* x (+ 1 (+ (* 2 (/ (PI) x)) (/ eps x))))))
#s(approx (+ (+ eps x) (PI)) #s(hole binary64 (* x (+ 1 (+ (/ eps x) (/ (PI) x))))))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (- (+ (/ (tan x) (- 1 (* (tan x) (tan eps)))) (/ (tan eps) (- 1 (* (tan x) (tan eps))))) (tan x)) #s(hole binary64 (- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))))
#s(approx (+ (/ (tan x) (- 1 (* (tan x) (tan eps)))) (/ (tan eps) (- 1 (* (tan x) (tan eps))))) #s(hole binary64 (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))))
#s(approx (/ (tan x) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))
#s(approx (/ (tan eps) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (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 (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (- (/ (sin (- (+ eps (* 2 (PI))) (* -1 x))) (cos (- (+ eps (* 2 (PI))) (* -1 x)))) (/ (sin x) (cos x)))))
#s(approx (tan (+ (+ (+ eps x) (PI)) (PI))) #s(hole binary64 (/ (sin (- (+ eps (* 2 (PI))) (* -1 x))) (cos (- (+ eps (* 2 (PI))) (* -1 x))))))
#s(approx (+ (+ (+ eps x) (PI)) (PI)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ eps (* 2 (PI))) x)) 1)))))
#s(approx (+ (+ eps x) (PI)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ eps (PI)) x)) 1)))))
#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 (+ 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 (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (- (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (- (+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (- (+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))) (cos (+ x (* 2 (PI)))))) (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (pow (cos (+ x (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ x (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (cos (+ x (* 2 (PI))))))))) (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ (+ (+ eps x) (PI)) (PI))) #s(hole binary64 (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))))
#s(approx (tan (+ (+ (+ eps x) (PI)) (PI))) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))))
#s(approx (tan (+ (+ (+ eps x) (PI)) (PI))) #s(hole binary64 (+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))) (cos (+ x (* 2 (PI)))))) (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))))
#s(approx (tan (+ (+ (+ eps x) (PI)) (PI))) #s(hole binary64 (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (pow (cos (+ x (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ x (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (cos (+ x (* 2 (PI))))))))) (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))))
#s(approx (+ (+ (+ eps x) (PI)) (PI)) #s(hole binary64 (+ x (* 2 (PI)))))
#s(approx (+ (+ eps x) (PI)) #s(hole binary64 (+ x (PI))))
#s(approx (- (+ (/ (tan x) (- 1 (* (tan x) (tan eps)))) (/ (tan eps) (- 1 (* (tan x) (tan eps))))) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* -1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (+ (/ (tan x) (- 1 (* (tan x) (tan eps)))) (/ (tan eps) (- 1 (* (tan x) (tan eps))))) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (+ (/ (tan x) (- 1 (* (tan x) (tan eps)))) (/ (tan eps) (- 1 (* (tan x) (tan eps))))) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* -1/3 (/ (sin x) (cos x))) (+ (* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (+ (/ (tan x) (- 1 (* (tan x) (tan eps)))) (/ (tan eps) (- 1 (* (tan x) (tan eps))))) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (+ (/ (tan x) (- 1 (* (tan x) (tan eps)))) (/ (tan eps) (- 1 (* (tan x) (tan eps))))) #s(hole binary64 (+ (* eps (- (+ 1 (* -1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (+ (/ (tan x) (- 1 (* (tan x) (tan eps)))) (/ (tan eps) (- 1 (* (tan x) (tan eps))))) #s(hole binary64 (+ (* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (/ (tan x) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (+ (/ (sin x) (cos x)) (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))))
#s(approx (/ (tan x) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (+ (* eps (- (/ (* eps (pow (sin x) 3)) (pow (cos x) 3)) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (/ (tan x) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (* eps (sin x)) (cos x))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* eps (- (* -1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x)))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* eps (- (* (pow eps 2) (- (* -2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x)))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (/ (* eps (sin x)) (cos x))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* eps (+ (* 1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* eps (+ (* (pow eps 2) (+ (* 2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 17/315 (/ (* (pow eps 2) (sin x)) (cos x))) (* 2/15 (/ (sin x) (cos x))))))) (/ (sin x) (cos x))))))
#s(approx (/ (tan eps) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (* eps (+ 1 (/ (* eps (sin x)) (cos x))))))
#s(approx (/ (tan eps) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (* eps (+ 1 (* eps (- (* eps (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (sin x) (cos x)))))))))
#s(approx (/ (tan eps) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (* eps (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* -1/3 (/ (sin x) (cos x))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (sin x) (cos x)))))))))
#s(approx (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (/ (* (pow eps 2) (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))
#s(approx (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))))
#s(approx (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) #s(hole binary64 (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))
#s(approx (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) #s(hole binary64 (* eps (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))))
#s(approx (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) #s(hole binary64 (* eps (+ (/ 1 eps) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))))
#s(approx (+ (+ (+ eps x) (PI)) (PI)) #s(hole binary64 (* eps (+ 1 (+ (* 2 (/ (PI) eps)) (/ x eps))))))
#s(approx (+ (+ eps x) (PI)) #s(hole binary64 (* eps (+ 1 (+ (/ x eps) (/ (PI) 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 (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)))))))
#s(approx (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ 1 eps))))))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (- (/ (sin (- (+ x (* 2 (PI))) (* -1 eps))) (cos (- (+ x (* 2 (PI))) (* -1 eps)))) (/ (sin x) (cos x)))))
#s(approx (tan (+ (+ (+ eps x) (PI)) (PI))) #s(hole binary64 (/ (sin (- (+ x (* 2 (PI))) (* -1 eps))) (cos (- (+ x (* 2 (PI))) (* -1 eps))))))
#s(approx (+ (+ (+ eps x) (PI)) (PI)) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (* 2 (PI))) eps)) 1)))))
#s(approx (+ (+ eps x) (PI)) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (PI)) eps)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	x	@	inf	((- (tan (+ x eps)) (tan x)) (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (* (- 1 (neg (pow (tan x) 2))) (sin x)) (- 1 (neg (pow (tan x) 2))) 1 (neg (pow (tan x) 2)) (pow (tan x) 2) (tan x) x 2 (sin x) (cos x) (- (tan (+ x eps)) (tan x)) (tan eps) (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (tan (+ (+ (+ eps x) (PI)) (PI))) (+ (+ (+ eps x) (PI)) (PI)) (+ (+ eps x) (PI)) (+ eps x) (PI) (- (+ (/ (tan x) (- 1 (* (tan x) (tan eps)))) (/ (tan eps) (- 1 (* (tan x) (tan eps))))) (tan x)) (+ (/ (tan x) (- 1 (* (tan x) (tan eps)))) (/ (tan eps) (- 1 (* (tan x) (tan eps))))) (/ (tan x) (- 1 (* (tan x) (tan eps)))) (- 1 (* (tan x) (tan eps))) (* (tan x) (tan eps)) (/ (tan eps) (- 1 (* (tan x) (tan eps)))))
10.0ms	x	@	-inf	((- (tan (+ x eps)) (tan x)) (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (* (- 1 (neg (pow (tan x) 2))) (sin x)) (- 1 (neg (pow (tan x) 2))) 1 (neg (pow (tan x) 2)) (pow (tan x) 2) (tan x) x 2 (sin x) (cos x) (- (tan (+ x eps)) (tan x)) (tan eps) (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (tan (+ (+ (+ eps x) (PI)) (PI))) (+ (+ (+ eps x) (PI)) (PI)) (+ (+ eps x) (PI)) (+ eps x) (PI) (- (+ (/ (tan x) (- 1 (* (tan x) (tan eps)))) (/ (tan eps) (- 1 (* (tan x) (tan eps))))) (tan x)) (+ (/ (tan x) (- 1 (* (tan x) (tan eps)))) (/ (tan eps) (- 1 (* (tan x) (tan eps))))) (/ (tan x) (- 1 (* (tan x) (tan eps)))) (- 1 (* (tan x) (tan eps))) (* (tan x) (tan eps)) (/ (tan eps) (- 1 (* (tan x) (tan eps)))))
8.0ms	x	@	0	((- (tan (+ x eps)) (tan x)) (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (* (- 1 (neg (pow (tan x) 2))) (sin x)) (- 1 (neg (pow (tan x) 2))) 1 (neg (pow (tan x) 2)) (pow (tan x) 2) (tan x) x 2 (sin x) (cos x) (- (tan (+ x eps)) (tan x)) (tan eps) (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (tan (+ (+ (+ eps x) (PI)) (PI))) (+ (+ (+ eps x) (PI)) (PI)) (+ (+ eps x) (PI)) (+ eps x) (PI) (- (+ (/ (tan x) (- 1 (* (tan x) (tan eps)))) (/ (tan eps) (- 1 (* (tan x) (tan eps))))) (tan x)) (+ (/ (tan x) (- 1 (* (tan x) (tan eps)))) (/ (tan eps) (- 1 (* (tan x) (tan eps))))) (/ (tan x) (- 1 (* (tan x) (tan eps)))) (- 1 (* (tan x) (tan eps))) (* (tan x) (tan eps)) (/ (tan eps) (- 1 (* (tan x) (tan eps)))))
7.0ms	eps	@	0	((- (tan (+ x eps)) (tan x)) (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (* (- 1 (neg (pow (tan x) 2))) (sin x)) (- 1 (neg (pow (tan x) 2))) 1 (neg (pow (tan x) 2)) (pow (tan x) 2) (tan x) x 2 (sin x) (cos x) (- (tan (+ x eps)) (tan x)) (tan eps) (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (tan (+ (+ (+ eps x) (PI)) (PI))) (+ (+ (+ eps x) (PI)) (PI)) (+ (+ eps x) (PI)) (+ eps x) (PI) (- (+ (/ (tan x) (- 1 (* (tan x) (tan eps)))) (/ (tan eps) (- 1 (* (tan x) (tan eps))))) (tan x)) (+ (/ (tan x) (- 1 (* (tan x) (tan eps)))) (/ (tan eps) (- 1 (* (tan x) (tan eps))))) (/ (tan x) (- 1 (* (tan x) (tan eps)))) (- 1 (* (tan x) (tan eps))) (* (tan x) (tan eps)) (/ (tan eps) (- 1 (* (tan x) (tan eps)))))
6.0ms	eps	@	-inf	((- (tan (+ x eps)) (tan x)) (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (* (- 1 (neg (pow (tan x) 2))) (sin x)) (- 1 (neg (pow (tan x) 2))) 1 (neg (pow (tan x) 2)) (pow (tan x) 2) (tan x) x 2 (sin x) (cos x) (- (tan (+ x eps)) (tan x)) (tan eps) (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (tan (+ (+ (+ eps x) (PI)) (PI))) (+ (+ (+ eps x) (PI)) (PI)) (+ (+ eps x) (PI)) (+ eps x) (PI) (- (+ (/ (tan x) (- 1 (* (tan x) (tan eps)))) (/ (tan eps) (- 1 (* (tan x) (tan eps))))) (tan x)) (+ (/ (tan x) (- 1 (* (tan x) (tan eps)))) (/ (tan eps) (- 1 (* (tan x) (tan eps))))) (/ (tan x) (- 1 (* (tan x) (tan eps)))) (- 1 (* (tan x) (tan eps))) (* (tan x) (tan eps)) (/ (tan eps) (- 1 (* (tan x) (tan eps)))))

rewrite190.0ms (3.1%)

Memory

7.1MiB live, 103.4MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	934	6602
0	990	5359
1	6158	5295
0	8462	5025

Stop Event

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

Counts

187 → 324

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(.f64 (-.f64 (fma.f64 eps (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps)
(-.f64 (fma.f64 eps (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(fma.f64 eps (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64))
eps
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x))
(-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
#s(literal 1 binary64)
(neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan.f64 x)
x
#s(literal 2 binary64)
(sin.f64 x)
(cos.f64 x)
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
(tan.f64 eps)
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps)
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (PI.f64))) (tan.f64 x))
(tan.f64 (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (PI.f64)))
(+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (PI.f64))
(+.f64 (+.f64 eps x) (PI.f64))
(+.f64 eps x)
(PI.f64)
(-.f64 (+.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(+.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))))
(/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))
(*.f64 (tan.f64 x) (tan.f64 eps))
(/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
#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 (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 eps))
#s(approx (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* (pow eps 2) x))))
#s(approx (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* x (+ (* eps x) (pow eps 2))))))
#s(approx (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* x (+ (* x (+ eps (* eps (* x (- (* 5/6 eps) (* -1/2 eps)))))) (pow eps 2))))))
#s(approx (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) #s(hole binary64 1))
#s(approx (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* eps x))))
#s(approx (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* x (+ eps x)))))
#s(approx (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps))))))))))
#s(approx (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) #s(hole binary64 (+ 1 (* x (+ eps (* (pow x 2) (- (* 5/6 eps) (* -1/2 eps))))))))
#s(approx (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) #s(hole binary64 (+ 1 (* x (+ eps (* (pow x 2) (- (+ (* 5/6 eps) (* (pow x 2) (- (* 61/120 eps) (+ (* -1/2 (- (* 5/6 eps) (* -1/2 eps))) (* 1/24 eps))))) (* -1/2 eps))))))))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 x))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 (* x (+ 1 (* 4/3 (pow x 2))))))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 4/3 (* 17/15 (pow x 2))))))))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/15 (* 248/315 (pow x 2))))))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) #s(hole binary64 (* x (+ 1 (* 5/6 (pow x 2))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2))))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 5/6 (* (pow x 2) (+ 61/120 (* 277/1008 (pow x 2))))))))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (- (* -2/3 (pow x 2)) 1))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -62/315 (pow x 2)) 17/45)) 2/3)) 1))))
#s(approx (pow (tan x) 2) #s(hole binary64 (pow x 2)))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#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 (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 (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 (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* eps (pow x 2)))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2))))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* (pow x 2) (+ (* 17/45 (* eps (pow x 2))) (* 2/3 eps))))))))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI)))))))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (+ (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))) (/ (* x (pow (sin (+ eps (* 2 (PI)))) 2)) (pow (cos (+ eps (* 2 (PI)))) 2)))))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (+ (* x (- (/ (* x (* (sin (+ eps (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2)))))) (cos (+ eps (* 2 (PI))))) (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin (+ eps (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (pow (cos (+ eps (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ eps (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (cos (+ eps (* 2 (PI)))))))) (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))))
#s(approx (tan (+ (+ (+ eps x) (PI)) (PI))) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))))
#s(approx (tan (+ (+ (+ eps x) (PI)) (PI))) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin (+ eps (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2)))))) (cos (+ eps (* 2 (PI)))))) (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))))
#s(approx (tan (+ (+ (+ eps x) (PI)) (PI))) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ eps (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (pow (cos (+ eps (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ eps (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (cos (+ eps (* 2 (PI))))))))) (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))))
#s(approx (+ (+ (+ eps x) (PI)) (PI)) #s(hole binary64 (+ eps (* 2 (PI)))))
#s(approx (+ (+ (+ eps x) (PI)) (PI)) #s(hole binary64 (+ eps (+ x (* 2 (PI))))))
#s(approx (+ (+ eps x) (PI)) #s(hole binary64 (+ eps (PI))))
#s(approx (+ (+ eps x) (PI)) #s(hole binary64 (+ eps (+ x (PI)))))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (- (+ (/ (tan x) (- 1 (* (tan x) (tan eps)))) (/ (tan eps) (- 1 (* (tan x) (tan eps))))) (tan 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 (- (+ (/ (tan x) (- 1 (* (tan x) (tan eps)))) (/ (tan eps) (- 1 (* (tan x) (tan eps))))) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (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 (+ (/ (tan x) (- 1 (* (tan x) (tan eps)))) (/ (tan eps) (- 1 (* (tan x) (tan eps))))) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (+ (/ (tan x) (- 1 (* (tan x) (tan eps)))) (/ (tan eps) (- 1 (* (tan x) (tan eps))))) #s(hole binary64 (+ (* x (- (+ 1 (* -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 (+ (/ (tan x) (- 1 (* (tan x) (tan eps)))) (/ (tan eps) (- 1 (* (tan x) (tan eps))))) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* x (- 1/3 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (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 (/ (tan x) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (* x (+ 1 (/ (* x (sin eps)) (cos eps))))))
#s(approx (/ (tan x) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (* x (+ 1 (* x (- (* x (- 1/3 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1 (/ (sin eps) (cos eps)))))))))
#s(approx (/ (tan x) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (* x (+ 1 (* x (- (* x (- (+ 1/3 (* -1 (* x (+ (* -1 (/ (* (sin eps) (- 1/3 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (* -1/3 (/ (sin eps) (cos eps))))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1 (/ (sin eps) (cos eps)))))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (* x (sin eps)) (cos eps))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* x (- (* -1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps)))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* x (- (* (pow x 2) (- (* -2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (/ (* x (sin eps)) (cos eps))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* 1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/3 (/ (sin eps) (cos eps))) (* (pow x 2) (+ (* 17/315 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 2/15 (/ (sin eps) (cos eps))))))) (/ (sin eps) (cos eps))))))
#s(approx (/ (tan eps) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (+ (* x (- (/ (* x (pow (sin eps) 3)) (pow (cos eps) 3)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (/ (tan eps) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
#s(approx (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) #s(hole binary64 (+ 1 (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) #s(hole binary64 (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (pow (tan x) 2) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (- (/ (sin (+ eps (+ x (* 2 (PI))))) (cos (+ eps (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ (+ (+ eps x) (PI)) (PI))) #s(hole binary64 (/ (sin (+ eps (+ x (* 2 (PI))))) (cos (+ eps (+ x (* 2 (PI))))))))
#s(approx (+ (+ (+ eps x) (PI)) (PI)) #s(hole binary64 (* x (+ 1 (+ (* 2 (/ (PI) x)) (/ eps x))))))
#s(approx (+ (+ eps x) (PI)) #s(hole binary64 (* x (+ 1 (+ (/ eps x) (/ (PI) x))))))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (- (+ (/ (tan x) (- 1 (* (tan x) (tan eps)))) (/ (tan eps) (- 1 (* (tan x) (tan eps))))) (tan x)) #s(hole binary64 (- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))))
#s(approx (+ (/ (tan x) (- 1 (* (tan x) (tan eps)))) (/ (tan eps) (- 1 (* (tan x) (tan eps))))) #s(hole binary64 (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))))
#s(approx (/ (tan x) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))
#s(approx (/ (tan eps) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (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 (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (- (/ (sin (- (+ eps (* 2 (PI))) (* -1 x))) (cos (- (+ eps (* 2 (PI))) (* -1 x)))) (/ (sin x) (cos x)))))
#s(approx (tan (+ (+ (+ eps x) (PI)) (PI))) #s(hole binary64 (/ (sin (- (+ eps (* 2 (PI))) (* -1 x))) (cos (- (+ eps (* 2 (PI))) (* -1 x))))))
#s(approx (+ (+ (+ eps x) (PI)) (PI)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ eps (* 2 (PI))) x)) 1)))))
#s(approx (+ (+ eps x) (PI)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ eps (PI)) x)) 1)))))
#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 (+ 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 (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (- (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (- (+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (- (+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))) (cos (+ x (* 2 (PI)))))) (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (pow (cos (+ x (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ x (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (cos (+ x (* 2 (PI))))))))) (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ (+ (+ eps x) (PI)) (PI))) #s(hole binary64 (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))))
#s(approx (tan (+ (+ (+ eps x) (PI)) (PI))) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))))
#s(approx (tan (+ (+ (+ eps x) (PI)) (PI))) #s(hole binary64 (+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))) (cos (+ x (* 2 (PI)))))) (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))))
#s(approx (tan (+ (+ (+ eps x) (PI)) (PI))) #s(hole binary64 (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (pow (cos (+ x (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ x (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (cos (+ x (* 2 (PI))))))))) (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))))
#s(approx (+ (+ (+ eps x) (PI)) (PI)) #s(hole binary64 (+ x (* 2 (PI)))))
#s(approx (+ (+ eps x) (PI)) #s(hole binary64 (+ x (PI))))
#s(approx (- (+ (/ (tan x) (- 1 (* (tan x) (tan eps)))) (/ (tan eps) (- 1 (* (tan x) (tan eps))))) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* -1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (+ (/ (tan x) (- 1 (* (tan x) (tan eps)))) (/ (tan eps) (- 1 (* (tan x) (tan eps))))) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (+ (/ (tan x) (- 1 (* (tan x) (tan eps)))) (/ (tan eps) (- 1 (* (tan x) (tan eps))))) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* -1/3 (/ (sin x) (cos x))) (+ (* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (+ (/ (tan x) (- 1 (* (tan x) (tan eps)))) (/ (tan eps) (- 1 (* (tan x) (tan eps))))) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (+ (/ (tan x) (- 1 (* (tan x) (tan eps)))) (/ (tan eps) (- 1 (* (tan x) (tan eps))))) #s(hole binary64 (+ (* eps (- (+ 1 (* -1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (+ (/ (tan x) (- 1 (* (tan x) (tan eps)))) (/ (tan eps) (- 1 (* (tan x) (tan eps))))) #s(hole binary64 (+ (* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (/ (tan x) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (+ (/ (sin x) (cos x)) (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))))
#s(approx (/ (tan x) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (+ (* eps (- (/ (* eps (pow (sin x) 3)) (pow (cos x) 3)) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (/ (tan x) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (* eps (sin x)) (cos x))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* eps (- (* -1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x)))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* eps (- (* (pow eps 2) (- (* -2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x)))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (/ (* eps (sin x)) (cos x))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* eps (+ (* 1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* eps (+ (* (pow eps 2) (+ (* 2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 17/315 (/ (* (pow eps 2) (sin x)) (cos x))) (* 2/15 (/ (sin x) (cos x))))))) (/ (sin x) (cos x))))))
#s(approx (/ (tan eps) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (* eps (+ 1 (/ (* eps (sin x)) (cos x))))))
#s(approx (/ (tan eps) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (* eps (+ 1 (* eps (- (* eps (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (sin x) (cos x)))))))))
#s(approx (/ (tan eps) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (* eps (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* -1/3 (/ (sin x) (cos x))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (sin x) (cos x)))))))))
#s(approx (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (/ (* (pow eps 2) (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))
#s(approx (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))))
#s(approx (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) #s(hole binary64 (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))
#s(approx (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) #s(hole binary64 (* eps (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))))
#s(approx (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) #s(hole binary64 (* eps (+ (/ 1 eps) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))))
#s(approx (+ (+ (+ eps x) (PI)) (PI)) #s(hole binary64 (* eps (+ 1 (+ (* 2 (/ (PI) eps)) (/ x eps))))))
#s(approx (+ (+ eps x) (PI)) #s(hole binary64 (* eps (+ 1 (+ (/ x eps) (/ (PI) 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 (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)))))))
#s(approx (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ 1 eps))))))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (- (/ (sin (- (+ x (* 2 (PI))) (* -1 eps))) (cos (- (+ x (* 2 (PI))) (* -1 eps)))) (/ (sin x) (cos x)))))
#s(approx (tan (+ (+ (+ eps x) (PI)) (PI))) #s(hole binary64 (/ (sin (- (+ x (* 2 (PI))) (* -1 eps))) (cos (- (+ x (* 2 (PI))) (* -1 eps))))))
#s(approx (+ (+ (+ eps x) (PI)) (PI)) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (* 2 (PI))) eps)) 1)))))
#s(approx (+ (+ eps x) (PI)) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (PI)) eps)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))

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

eval46.0ms (0.7%)

Memory: 1.6MiB live, 46.6MiB allocated; 5ms collecting garbage
Compiler: Compiled 7 269 to 2 055 computations (71.7% saved)

prune24.0ms (0.4%)

Memory

-22.7MiB live, 24.4MiB allocated; 2ms collecting garbage

Pruning

29 alts after pruning (24 fresh and 5 done)

	Pruned	Kept	Total
New	319	21	340
Fresh	0	3	3
Picked	1	4	5
Done	0	1	1
Total	320	29	349

Accuracy

100.0%

Counts

349 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.5%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
✓	61.5%	(-.f64 (+.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
✓	4.0%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (PI.f64))) (tan.f64 x))
	3.9%	(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (tan.f64 x))
✓	61.3%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	60.1%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
	99.3%	#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (.f64 (fma.f64 eps (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
▶	99.3%	#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (.f64 (-.f64 (fma.f64 (neg.f64 eps) (+.f64 (pow.f64 (neg.f64 (tan.f64 x)) #s(literal 3 binary64)) (neg.f64 (tan.f64 x))) #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) eps))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps (/.f64 #s(approx ( (- 1 (neg (pow (tan x) 2))) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 277/1008 binary64) (.f64 x x) #s(literal 61/120 binary64)) (.f64 x x) #s(literal 5/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
▶	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps (/.f64 #s(approx ( (- 1 (neg (pow (tan x) 2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal 61/120 binary64) (.f64 x x) #s(literal 5/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps #s(approx (/ ( (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 248/315 binary64) (.f64 x x) #s(literal 17/15 binary64)) (.f64 x x) #s(literal 4/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps #s(approx (/ ( (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (.f64 (fma.f64 (fma.f64 #s(literal 17/15 binary64) (.f64 x x) #s(literal 4/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps #s(approx (/ ( (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 x x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
▶	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps #s(approx (/ ( (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) x) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
	99.0%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(approx (+ ( eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (.f64 (fma.f64 (sin.f64 x) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1 binary64)) (cos.f64 x)) (/.f64 #s(literal 1 binary64) eps)) eps)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) x)) #s(literal 2 binary64)))) eps))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) #s(literal 2 binary64)))) eps))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (PI.f64) x)) #s(literal 2 binary64)))) eps))
✓	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
	98.3%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 #s(approx (tan x) (.f64 (fma.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)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)))) eps))
▶	98.3%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (tan x) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))))) eps))
	98.1%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) (fma.f64 (+.f64 eps x) x #s(literal 1 binary64))) eps))
	98.1%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) (fma.f64 eps x #s(literal 1 binary64))) eps))
	98.3%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (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))
	98.1%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 x x #s(literal 1 binary64))) eps))
	3.1%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) eps)))
✓	98.1%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
▶	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) eps))
	98.2%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 2/3 binary64) eps) (*.f64 x x) eps)))

Compiler

Compiled 1 226 to 1 104 computations (10% saved)

series51.0ms (0.8%)

Memory

38.8MiB live, 38.8MiB allocated; 0ms collecting garbage

Counts

56 → 162

Calls

Call 1

Inputs
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (.f64 (-.f64 (fma.f64 (neg.f64 eps) (+.f64 (pow.f64 (neg.f64 (tan.f64 x)) #s(literal 3 binary64)) (neg.f64 (tan.f64 x))) #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) eps))
(.f64 (-.f64 (fma.f64 (neg.f64 eps) (+.f64 (pow.f64 (neg.f64 (tan.f64 x)) #s(literal 3 binary64)) (neg.f64 (tan.f64 x))) #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) eps)
(-.f64 (fma.f64 (neg.f64 eps) (+.f64 (pow.f64 (neg.f64 (tan.f64 x)) #s(literal 3 binary64)) (neg.f64 (tan.f64 x))) #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))))
(fma.f64 (neg.f64 eps) (+.f64 (pow.f64 (neg.f64 (tan.f64 x)) #s(literal 3 binary64)) (neg.f64 (tan.f64 x))) #s(literal 1 binary64))
(neg.f64 eps)
eps
(+.f64 (pow.f64 (neg.f64 (tan.f64 x)) #s(literal 3 binary64)) (neg.f64 (tan.f64 x)))
(pow.f64 (neg.f64 (tan.f64 x)) #s(literal 3 binary64))
(neg.f64 (tan.f64 x))
(tan.f64 x)
x
#s(literal 3 binary64)
#s(literal 1 binary64)
(neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))
#s(literal 1/2 binary64)
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) eps))
#s(approx (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) eps)
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (tan x) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))))) eps))
(.f64 (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (tan x) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))))) eps)
(-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (tan x) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))))
(neg.f64 #s(approx (pow (tan x) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x))))
#s(approx (pow (tan x) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64))
(fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64))
#s(literal 62/315 binary64)
(*.f64 x x)
#s(literal 17/45 binary64)
#s(literal 2/3 binary64)
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps #s(approx (/ ( (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) x) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(.f64 (-.f64 (fma.f64 eps #s(approx (/ ( (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) x) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps)
(-.f64 (fma.f64 eps #s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) x) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(fma.f64 eps #s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) x) #s(literal 1 binary64))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) x)
(neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps (/.f64 #s(approx ( (- 1 (neg (pow (tan x) 2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal 61/120 binary64) (.f64 x x) #s(literal 5/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(.f64 (-.f64 (fma.f64 eps (/.f64 #s(approx ( (- 1 (neg (pow (tan x) 2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal 61/120 binary64) (.f64 x x) #s(literal 5/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps)
(-.f64 (fma.f64 eps (/.f64 #s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal 61/120 binary64) (.f64 x x) #s(literal 5/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(fma.f64 eps (/.f64 #s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal 61/120 binary64) (.f64 x x) #s(literal 5/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) (cos.f64 x)) #s(literal 1 binary64))
(/.f64 #s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal 61/120 binary64) (.f64 x x) #s(literal 5/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) (cos.f64 x))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal 61/120 binary64) (.f64 x x) #s(literal 5/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (fma.f64 #s(literal 61/120 binary64) (.f64 x x) #s(literal 5/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 61/120 binary64) (.f64 x x) #s(literal 5/6 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 61/120 binary64) (*.f64 x x) #s(literal 5/6 binary64))
#s(literal 61/120 binary64)
#s(literal 5/6 binary64)
(cos.f64 x)

Outputs
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI)))))))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (+ (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))) (/ (* x (pow (sin (+ eps (* 2 (PI)))) 2)) (pow (cos (+ eps (* 2 (PI)))) 2)))))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (+ (* x (- (/ (* x (* (sin (+ eps (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2)))))) (cos (+ eps (* 2 (PI))))) (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin (+ eps (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (pow (cos (+ eps (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ eps (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (cos (+ eps (* 2 (PI)))))))) (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))))
#s(approx (* (- (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) eps) #s(hole binary64 eps))
#s(approx (* (- (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) eps) #s(hole binary64 (+ eps (* (pow eps 2) x))))
#s(approx (* (- (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) eps) #s(hole binary64 (+ eps (* x (+ (* eps x) (pow eps 2))))))
#s(approx (* (- (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) eps) #s(hole binary64 (+ eps (* x (+ (* x (+ eps (* 4/3 (* (pow eps 2) x)))) (pow eps 2))))))
#s(approx (- (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) #s(hole binary64 1))
#s(approx (- (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) #s(hole binary64 (+ 1 (* eps x))))
#s(approx (- (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) #s(hole binary64 (+ 1 (* x (+ eps x)))))
#s(approx (- (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) #s(hole binary64 (+ 1 (* x (+ eps (* x (+ 1 (* 4/3 (* eps x)))))))))
#s(approx (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) #s(hole binary64 (+ 1 (* x (+ eps (* 4/3 (* eps (pow x 2))))))))
#s(approx (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) #s(hole binary64 (+ 1 (* x (+ eps (* (pow x 2) (+ (* 17/15 (* eps (pow x 2))) (* 4/3 eps))))))))
#s(approx (+ (pow (neg (tan x)) 3) (neg (tan x))) #s(hole binary64 (* -1 x)))
#s(approx (+ (pow (neg (tan x)) 3) (neg (tan x))) #s(hole binary64 (* x (- (* -4/3 (pow x 2)) 1))))
#s(approx (+ (pow (neg (tan x)) 3) (neg (tan x))) #s(hole binary64 (* x (- (* (pow x 2) (- (* -17/15 (pow x 2)) 4/3)) 1))))
#s(approx (+ (pow (neg (tan x)) 3) (neg (tan x))) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -248/315 (pow x 2)) 17/15)) 4/3)) 1))))
#s(approx (pow (neg (tan x)) 3) #s(hole binary64 (* -1 (pow x 3))))
#s(approx (pow (neg (tan x)) 3) #s(hole binary64 (* (pow x 3) (- (* -1 (pow x 2)) 1))))
#s(approx (pow (neg (tan x)) 3) #s(hole binary64 (* (pow x 3) (- (* (pow x 2) (- (* -11/15 (pow x 2)) 1)) 1))))
#s(approx (pow (neg (tan x)) 3) #s(hole binary64 (* (pow x 3) (- (* (pow x 2) (- (* (pow x 2) (- (* -88/189 (pow x 2)) 11/15)) 1)) 1))))
#s(approx (neg (tan x)) #s(hole binary64 (* x (- (* -1/3 (pow x 2)) 1))))
#s(approx (neg (tan x)) #s(hole binary64 (* x (- (* (pow x 2) (- (* -2/15 (pow x 2)) 1/3)) 1))))
#s(approx (neg (tan x)) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/315 (pow x 2)) 2/15)) 1/3)) 1))))
#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 (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (* (pow x 2) (- (* -2/3 (pow x 2)) 1))))
#s(approx (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1))))
#s(approx (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -62/315 (pow x 2)) 17/45)) 2/3)) 1))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#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 (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* x (+ (* x (+ eps (* eps (* x (- (* 5/6 eps) (* -1/2 eps)))))) (pow eps 2))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* eps (pow x 2)))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2))))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* (pow x 2) (+ (* 17/45 (* eps (pow x 2))) (* 2/3 eps))))))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) #s(hole binary64 (+ 1 (* 2/3 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2)))))))))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) #s(hole binary64 2/3))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) #s(hole binary64 (+ 2/3 (* 17/45 (pow x 2)))))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) #s(hole binary64 (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2)))))))
#s(approx (+ (* 62/315 (* x x)) 17/45) #s(hole binary64 17/45))
#s(approx (+ (* 62/315 (* x x)) 17/45) #s(hole binary64 (+ 17/45 (* 62/315 (pow x 2)))))
#s(approx (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps))))))))))
#s(approx (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) #s(hole binary64 (+ 1 (* x (+ eps (* (pow x 2) (- (* 5/6 eps) (* -1/2 eps))))))))
#s(approx (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) #s(hole binary64 (+ 1 (* x (+ eps (* (pow x 2) (- (+ (* 5/6 eps) (* (pow x 2) (- (* 61/120 eps) (+ (* -1/2 (- (* 5/6 eps) (* -1/2 eps))) (* 1/24 eps))))) (* -1/2 eps))))))))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 (* x (+ 1 (* 4/3 (pow x 2))))))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 4/3 (* 17/15 (pow x 2))))))))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/15 (* 248/315 (pow x 2))))))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) #s(hole binary64 (* x (+ 1 (* 5/6 (pow x 2))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2))))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 5/6 (* (pow x 2) (+ 61/120 (* 277/1008 (pow x 2))))))))))
#s(approx (+ (* (+ (* 61/120 (* x x)) 5/6) (* x x)) 1) #s(hole binary64 (+ 1 (* 5/6 (pow x 2)))))
#s(approx (+ (* (+ (* 61/120 (* x x)) 5/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2)))))))
#s(approx (+ (* 61/120 (* x x)) 5/6) #s(hole binary64 5/6))
#s(approx (+ (* 61/120 (* x x)) 5/6) #s(hole binary64 (+ 5/6 (* 61/120 (pow x 2)))))
#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 (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (- (/ (sin (+ eps (+ x (* 2 (PI))))) (cos (+ eps (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))))
#s(approx (* (- (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) eps) #s(hole binary64 (* eps (- (+ 1 (+ (* -1 (* eps (- (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (sin x) (cos x))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
#s(approx (- (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) #s(hole binary64 (- (+ 1 (+ (* -1 (* eps (- (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (sin x) (cos x))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) #s(hole binary64 (+ 1 (* -1 (* eps (- (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (sin x) (cos x))))))))
#s(approx (+ (pow (neg (tan x)) 3) (neg (tan x))) #s(hole binary64 (- (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (sin x) (cos x)))))
#s(approx (pow (neg (tan x)) 3) #s(hole binary64 (* -1 (/ (pow (sin x) 3) (pow (cos x) 3)))))
#s(approx (neg (tan x)) #s(hole binary64 (* -1 (/ (sin x) (cos x)))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (- (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
#s(approx (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (pow (tan x) 2) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (* (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) (* x x)) #s(hole binary64 (* 62/315 (pow x 8))))
#s(approx (* (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) (* x x)) #s(hole binary64 (* (pow x 8) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) (* x x)) #s(hole binary64 (* (pow x 8) (+ 62/315 (+ (/ 2/3 (pow x 4)) (* 17/45 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) (* x x)) #s(hole binary64 (* (pow x 8) (+ 62/315 (+ (/ 2/3 (pow x 4)) (+ (* 17/45 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) #s(hole binary64 (* 62/315 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 62/315 (+ (/ 2/3 (pow x 4)) (* 17/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 62/315 (+ (/ 2/3 (pow x 4)) (+ (* 17/45 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) #s(hole binary64 (* 62/315 (pow x 4))))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) #s(hole binary64 (* (pow x 4) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) #s(hole binary64 (* (pow x 4) (+ 62/315 (+ (/ 2/3 (pow x 4)) (* 17/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* 62/315 (* x x)) 17/45) #s(hole binary64 (* 62/315 (pow x 2))))
#s(approx (+ (* 62/315 (* x x)) 17/45) #s(hole binary64 (* (pow x 2) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))))
#s(approx (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) #s(hole binary64 (+ 1 (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) #s(hole binary64 (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (* (+ (* (+ (* 61/120 (* x x)) 5/6) (* x x)) 1) x) #s(hole binary64 (* 61/120 (pow x 5))))
#s(approx (* (+ (* (+ (* 61/120 (* x x)) 5/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (+ 61/120 (* 5/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 61/120 (* x x)) 5/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (+ 61/120 (+ (* 5/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* (+ (* 61/120 (* x x)) 5/6) (* x x)) 1) #s(hole binary64 (* 61/120 (pow x 4))))
#s(approx (+ (* (+ (* 61/120 (* x x)) 5/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 61/120 (* 5/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 61/120 (* x x)) 5/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 61/120 (+ (* 5/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* 61/120 (* x x)) 5/6) #s(hole binary64 (* 61/120 (pow x 2))))
#s(approx (+ (* 61/120 (* x x)) 5/6) #s(hole binary64 (* (pow x 2) (+ 61/120 (* 5/6 (/ 1 (pow x 2)))))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (- (/ (sin (- (+ eps (* 2 (PI))) (* -1 x))) (cos (- (+ eps (* 2 (PI))) (* -1 x)))) (/ (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 (* (+ (* (+ (* 61/120 (* x x)) 5/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 5/6 (/ 1 (pow x 2))) (pow x 2))) 61/120)))))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (- (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (- (+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (- (+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))) (cos (+ x (* 2 (PI)))))) (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (pow (cos (+ x (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ x (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (cos (+ x (* 2 (PI))))))))) (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))))
#s(approx (* (- (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) eps) #s(hole binary64 (* eps (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
#s(approx (- (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) #s(hole binary64 (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (neg eps) #s(hole binary64 (* -1 eps)))
#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 (* (- (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) eps) #s(hole binary64 (* -1 (* (pow eps 2) (- (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (sin x) (cos x)))))))
#s(approx (* (- (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) eps) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (- (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (sin x) (cos x)))) (+ (/ 1/2 (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ 1 eps))) (* 1/2 (/ (cos (* 2 x)) (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))))))))
#s(approx (- (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (sin x) (cos x)))))))
#s(approx (- (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) #s(hole binary64 (* eps (- (+ (* -1 (- (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (sin x) (cos x)))) (+ (/ 1/2 (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ 1 eps))) (* 1/2 (/ (cos (* 2 x)) (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))))))))
#s(approx (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) #s(hole binary64 (* eps (+ (* -1 (- (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (sin x) (cos x)))) (/ 1 eps)))))
#s(approx (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (/ (* (pow eps 2) (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))
#s(approx (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))))
#s(approx (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) #s(hole binary64 (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))
#s(approx (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) #s(hole binary64 (* eps (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))))
#s(approx (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) #s(hole binary64 (* eps (+ (/ 1 eps) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (- (/ (sin (- (+ x (* 2 (PI))) (* -1 eps))) (cos (- (+ x (* 2 (PI))) (* -1 eps)))) (/ (sin x) (cos x)))))
#s(approx (- (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) #s(hole binary64 (* -1 (* eps (- (+ (* -1 (/ (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) eps)) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (sin x) (cos x)))))))
#s(approx (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))) (+ (/ 1 eps) (/ (sin x) (cos x))))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))))
#s(approx (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)))))))
#s(approx (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ 1 eps))))))

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	x	@	0	((- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (* (- (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) eps) (- (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg eps) eps (+ (pow (neg (tan x)) 3) (neg (tan x))) (pow (neg (tan x)) 3) (neg (tan x)) (tan x) x 3 1 (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* 1/2 (cos (* 2 x)))) 1/2 (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2 (+ 1/2 (* 1/2 (cos (* 2 x)))) (- (tan (+ x eps)) (tan x)) (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (- 1 (neg (pow (tan x) 2))) (neg (pow (tan x) 2)) (pow (tan x) 2) (* (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) (* x x)) (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (+ (* 62/315 (* x x)) 17/45) 62/315 (* x x) 17/45 2/3 (- (tan (+ x eps)) (tan x)) (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (neg (pow (tan x) 2)) (pow (tan x) 2) (- (tan (+ x eps)) (tan x)) (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (* (- 1 (neg (pow (tan x) 2))) (sin x)) (* (+ (* (+ (* 61/120 (* x x)) 5/6) (* x x)) 1) x) (+ (* (+ (* 61/120 (* x x)) 5/6) (* x x)) 1) (+ (* 61/120 (* x x)) 5/6) 61/120 5/6 (cos x))
10.0ms	x	@	inf	((- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (* (- (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) eps) (- (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg eps) eps (+ (pow (neg (tan x)) 3) (neg (tan x))) (pow (neg (tan x)) 3) (neg (tan x)) (tan x) x 3 1 (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* 1/2 (cos (* 2 x)))) 1/2 (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2 (+ 1/2 (* 1/2 (cos (* 2 x)))) (- (tan (+ x eps)) (tan x)) (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (- 1 (neg (pow (tan x) 2))) (neg (pow (tan x) 2)) (pow (tan x) 2) (* (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) (* x x)) (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (+ (* 62/315 (* x x)) 17/45) 62/315 (* x x) 17/45 2/3 (- (tan (+ x eps)) (tan x)) (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (neg (pow (tan x) 2)) (pow (tan x) 2) (- (tan (+ x eps)) (tan x)) (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (* (- 1 (neg (pow (tan x) 2))) (sin x)) (* (+ (* (+ (* 61/120 (* x x)) 5/6) (* x x)) 1) x) (+ (* (+ (* 61/120 (* x x)) 5/6) (* x x)) 1) (+ (* 61/120 (* x x)) 5/6) 61/120 5/6 (cos x))
9.0ms	x	@	-inf	((- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (* (- (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) eps) (- (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg eps) eps (+ (pow (neg (tan x)) 3) (neg (tan x))) (pow (neg (tan x)) 3) (neg (tan x)) (tan x) x 3 1 (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* 1/2 (cos (* 2 x)))) 1/2 (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2 (+ 1/2 (* 1/2 (cos (* 2 x)))) (- (tan (+ x eps)) (tan x)) (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (- 1 (neg (pow (tan x) 2))) (neg (pow (tan x) 2)) (pow (tan x) 2) (* (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) (* x x)) (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (+ (* 62/315 (* x x)) 17/45) 62/315 (* x x) 17/45 2/3 (- (tan (+ x eps)) (tan x)) (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (neg (pow (tan x) 2)) (pow (tan x) 2) (- (tan (+ x eps)) (tan x)) (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (* (- 1 (neg (pow (tan x) 2))) (sin x)) (* (+ (* (+ (* 61/120 (* x x)) 5/6) (* x x)) 1) x) (+ (* (+ (* 61/120 (* x x)) 5/6) (* x x)) 1) (+ (* 61/120 (* x x)) 5/6) 61/120 5/6 (cos x))
6.0ms	eps	@	0	((- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (* (- (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) eps) (- (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg eps) eps (+ (pow (neg (tan x)) 3) (neg (tan x))) (pow (neg (tan x)) 3) (neg (tan x)) (tan x) x 3 1 (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* 1/2 (cos (* 2 x)))) 1/2 (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2 (+ 1/2 (* 1/2 (cos (* 2 x)))) (- (tan (+ x eps)) (tan x)) (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (- 1 (neg (pow (tan x) 2))) (neg (pow (tan x) 2)) (pow (tan x) 2) (* (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) (* x x)) (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (+ (* 62/315 (* x x)) 17/45) 62/315 (* x x) 17/45 2/3 (- (tan (+ x eps)) (tan x)) (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (neg (pow (tan x) 2)) (pow (tan x) 2) (- (tan (+ x eps)) (tan x)) (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (* (- 1 (neg (pow (tan x) 2))) (sin x)) (* (+ (* (+ (* 61/120 (* x x)) 5/6) (* x x)) 1) x) (+ (* (+ (* 61/120 (* x x)) 5/6) (* x x)) 1) (+ (* 61/120 (* x x)) 5/6) 61/120 5/6 (cos x))
5.0ms	eps	@	-inf	((- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (* (- (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) eps) (- (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg eps) eps (+ (pow (neg (tan x)) 3) (neg (tan x))) (pow (neg (tan x)) 3) (neg (tan x)) (tan x) x 3 1 (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* 1/2 (cos (* 2 x)))) 1/2 (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) 2 (+ 1/2 (* 1/2 (cos (* 2 x)))) (- (tan (+ x eps)) (tan x)) (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (- 1 (neg (pow (tan x) 2))) (neg (pow (tan x) 2)) (pow (tan x) 2) (* (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) (* x x)) (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (+ (* 62/315 (* x x)) 17/45) 62/315 (* x x) 17/45 2/3 (- (tan (+ x eps)) (tan x)) (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (neg (pow (tan x) 2)) (pow (tan x) 2) (- (tan (+ x eps)) (tan x)) (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (* (- 1 (neg (pow (tan x) 2))) (sin x)) (* (+ (* (+ (* 61/120 (* x x)) 5/6) (* x x)) 1) x) (+ (* (+ (* 61/120 (* x x)) 5/6) (* x x)) 1) (+ (* 61/120 (* x x)) 5/6) 61/120 5/6 (cos x))

rewrite214.0ms (3.5%)

Memory

-71.9MiB live, 110.3MiB allocated; 63ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	859	6562
0	934	5616
1	5389	5590
0	8369	5397

Stop Event

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

Counts

218 → 413

Calls

Call 1

Inputs
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (.f64 (-.f64 (fma.f64 (neg.f64 eps) (+.f64 (pow.f64 (neg.f64 (tan.f64 x)) #s(literal 3 binary64)) (neg.f64 (tan.f64 x))) #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) eps))
(.f64 (-.f64 (fma.f64 (neg.f64 eps) (+.f64 (pow.f64 (neg.f64 (tan.f64 x)) #s(literal 3 binary64)) (neg.f64 (tan.f64 x))) #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) eps)
(-.f64 (fma.f64 (neg.f64 eps) (+.f64 (pow.f64 (neg.f64 (tan.f64 x)) #s(literal 3 binary64)) (neg.f64 (tan.f64 x))) #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))))
(fma.f64 (neg.f64 eps) (+.f64 (pow.f64 (neg.f64 (tan.f64 x)) #s(literal 3 binary64)) (neg.f64 (tan.f64 x))) #s(literal 1 binary64))
(neg.f64 eps)
eps
(+.f64 (pow.f64 (neg.f64 (tan.f64 x)) #s(literal 3 binary64)) (neg.f64 (tan.f64 x)))
(pow.f64 (neg.f64 (tan.f64 x)) #s(literal 3 binary64))
(neg.f64 (tan.f64 x))
(tan.f64 x)
x
#s(literal 3 binary64)
#s(literal 1 binary64)
(neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))
#s(literal 1/2 binary64)
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) eps))
#s(approx (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) eps)
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (tan x) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))))) eps))
(.f64 (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (tan x) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))))) eps)
(-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (tan x) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))))
(neg.f64 #s(approx (pow (tan x) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x))))
#s(approx (pow (tan x) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64))
(fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64))
#s(literal 62/315 binary64)
(*.f64 x x)
#s(literal 17/45 binary64)
#s(literal 2/3 binary64)
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps #s(approx (/ ( (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) x) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(.f64 (-.f64 (fma.f64 eps #s(approx (/ ( (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) x) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps)
(-.f64 (fma.f64 eps #s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) x) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(fma.f64 eps #s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) x) #s(literal 1 binary64))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) x)
(neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
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(.f64 (-.f64 (fma.f64 eps (/.f64 #s(approx ( (- 1 (neg (pow (tan x) 2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal 61/120 binary64) (.f64 x x) #s(literal 5/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps)
(-.f64 (fma.f64 eps (/.f64 #s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal 61/120 binary64) (.f64 x x) #s(literal 5/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(fma.f64 eps (/.f64 #s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal 61/120 binary64) (.f64 x x) #s(literal 5/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) (cos.f64 x)) #s(literal 1 binary64))
(/.f64 #s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal 61/120 binary64) (.f64 x x) #s(literal 5/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) (cos.f64 x))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal 61/120 binary64) (.f64 x x) #s(literal 5/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (fma.f64 #s(literal 61/120 binary64) (.f64 x x) #s(literal 5/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 61/120 binary64) (.f64 x x) #s(literal 5/6 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 61/120 binary64) (*.f64 x x) #s(literal 5/6 binary64))
#s(literal 61/120 binary64)
#s(literal 5/6 binary64)
(cos.f64 x)
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#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (+ (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))) (/ (* x (pow (sin (+ eps (* 2 (PI)))) 2)) (pow (cos (+ eps (* 2 (PI)))) 2)))))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (+ (* x (- (/ (* x (* (sin (+ eps (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2)))))) (cos (+ eps (* 2 (PI))))) (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin (+ eps (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (pow (cos (+ eps (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ eps (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (cos (+ eps (* 2 (PI)))))))) (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))))
#s(approx (* (- (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) eps) #s(hole binary64 eps))
#s(approx (* (- (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) eps) #s(hole binary64 (+ eps (* (pow eps 2) x))))
#s(approx (* (- (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) eps) #s(hole binary64 (+ eps (* x (+ (* eps x) (pow eps 2))))))
#s(approx (* (- (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) eps) #s(hole binary64 (+ eps (* x (+ (* x (+ eps (* 4/3 (* (pow eps 2) x)))) (pow eps 2))))))
#s(approx (- (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) #s(hole binary64 1))
#s(approx (- (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) #s(hole binary64 (+ 1 (* eps x))))
#s(approx (- (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) #s(hole binary64 (+ 1 (* x (+ eps x)))))
#s(approx (- (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) #s(hole binary64 (+ 1 (* x (+ eps (* x (+ 1 (* 4/3 (* eps x)))))))))
#s(approx (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) #s(hole binary64 (+ 1 (* x (+ eps (* 4/3 (* eps (pow x 2))))))))
#s(approx (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) #s(hole binary64 (+ 1 (* x (+ eps (* (pow x 2) (+ (* 17/15 (* eps (pow x 2))) (* 4/3 eps))))))))
#s(approx (+ (pow (neg (tan x)) 3) (neg (tan x))) #s(hole binary64 (* -1 x)))
#s(approx (+ (pow (neg (tan x)) 3) (neg (tan x))) #s(hole binary64 (* x (- (* -4/3 (pow x 2)) 1))))
#s(approx (+ (pow (neg (tan x)) 3) (neg (tan x))) #s(hole binary64 (* x (- (* (pow x 2) (- (* -17/15 (pow x 2)) 4/3)) 1))))
#s(approx (+ (pow (neg (tan x)) 3) (neg (tan x))) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -248/315 (pow x 2)) 17/15)) 4/3)) 1))))
#s(approx (pow (neg (tan x)) 3) #s(hole binary64 (* -1 (pow x 3))))
#s(approx (pow (neg (tan x)) 3) #s(hole binary64 (* (pow x 3) (- (* -1 (pow x 2)) 1))))
#s(approx (pow (neg (tan x)) 3) #s(hole binary64 (* (pow x 3) (- (* (pow x 2) (- (* -11/15 (pow x 2)) 1)) 1))))
#s(approx (pow (neg (tan x)) 3) #s(hole binary64 (* (pow x 3) (- (* (pow x 2) (- (* (pow x 2) (- (* -88/189 (pow x 2)) 11/15)) 1)) 1))))
#s(approx (neg (tan x)) #s(hole binary64 (* x (- (* -1/3 (pow x 2)) 1))))
#s(approx (neg (tan x)) #s(hole binary64 (* x (- (* (pow x 2) (- (* -2/15 (pow x 2)) 1/3)) 1))))
#s(approx (neg (tan x)) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/315 (pow x 2)) 2/15)) 1/3)) 1))))
#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 (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (* (pow x 2) (- (* -2/3 (pow x 2)) 1))))
#s(approx (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1))))
#s(approx (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -62/315 (pow x 2)) 17/45)) 2/3)) 1))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#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 (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* x (+ (* x (+ eps (* eps (* x (- (* 5/6 eps) (* -1/2 eps)))))) (pow eps 2))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* eps (pow x 2)))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2))))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* (pow x 2) (+ (* 17/45 (* eps (pow x 2))) (* 2/3 eps))))))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) #s(hole binary64 (+ 1 (* 2/3 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2)))))))))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) #s(hole binary64 2/3))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) #s(hole binary64 (+ 2/3 (* 17/45 (pow x 2)))))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) #s(hole binary64 (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2)))))))
#s(approx (+ (* 62/315 (* x x)) 17/45) #s(hole binary64 17/45))
#s(approx (+ (* 62/315 (* x x)) 17/45) #s(hole binary64 (+ 17/45 (* 62/315 (pow x 2)))))
#s(approx (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps))))))))))
#s(approx (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) #s(hole binary64 (+ 1 (* x (+ eps (* (pow x 2) (- (* 5/6 eps) (* -1/2 eps))))))))
#s(approx (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) #s(hole binary64 (+ 1 (* x (+ eps (* (pow x 2) (- (+ (* 5/6 eps) (* (pow x 2) (- (* 61/120 eps) (+ (* -1/2 (- (* 5/6 eps) (* -1/2 eps))) (* 1/24 eps))))) (* -1/2 eps))))))))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 (* x (+ 1 (* 4/3 (pow x 2))))))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 4/3 (* 17/15 (pow x 2))))))))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/15 (* 248/315 (pow x 2))))))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) #s(hole binary64 (* x (+ 1 (* 5/6 (pow x 2))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2))))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 5/6 (* (pow x 2) (+ 61/120 (* 277/1008 (pow x 2))))))))))
#s(approx (+ (* (+ (* 61/120 (* x x)) 5/6) (* x x)) 1) #s(hole binary64 (+ 1 (* 5/6 (pow x 2)))))
#s(approx (+ (* (+ (* 61/120 (* x x)) 5/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2)))))))
#s(approx (+ (* 61/120 (* x x)) 5/6) #s(hole binary64 5/6))
#s(approx (+ (* 61/120 (* x x)) 5/6) #s(hole binary64 (+ 5/6 (* 61/120 (pow x 2)))))
#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 (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (- (/ (sin (+ eps (+ x (* 2 (PI))))) (cos (+ eps (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))))
#s(approx (* (- (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) eps) #s(hole binary64 (* eps (- (+ 1 (+ (* -1 (* eps (- (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (sin x) (cos x))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
#s(approx (- (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) #s(hole binary64 (- (+ 1 (+ (* -1 (* eps (- (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (sin x) (cos x))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) #s(hole binary64 (+ 1 (* -1 (* eps (- (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (sin x) (cos x))))))))
#s(approx (+ (pow (neg (tan x)) 3) (neg (tan x))) #s(hole binary64 (- (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (sin x) (cos x)))))
#s(approx (pow (neg (tan x)) 3) #s(hole binary64 (* -1 (/ (pow (sin x) 3) (pow (cos x) 3)))))
#s(approx (neg (tan x)) #s(hole binary64 (* -1 (/ (sin x) (cos x)))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (- (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
#s(approx (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (pow (tan x) 2) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (* (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) (* x x)) #s(hole binary64 (* 62/315 (pow x 8))))
#s(approx (* (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) (* x x)) #s(hole binary64 (* (pow x 8) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) (* x x)) #s(hole binary64 (* (pow x 8) (+ 62/315 (+ (/ 2/3 (pow x 4)) (* 17/45 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) (* x x)) #s(hole binary64 (* (pow x 8) (+ 62/315 (+ (/ 2/3 (pow x 4)) (+ (* 17/45 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) #s(hole binary64 (* 62/315 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 62/315 (+ (/ 2/3 (pow x 4)) (* 17/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 62/315 (+ (/ 2/3 (pow x 4)) (+ (* 17/45 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) #s(hole binary64 (* 62/315 (pow x 4))))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) #s(hole binary64 (* (pow x 4) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) #s(hole binary64 (* (pow x 4) (+ 62/315 (+ (/ 2/3 (pow x 4)) (* 17/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* 62/315 (* x x)) 17/45) #s(hole binary64 (* 62/315 (pow x 2))))
#s(approx (+ (* 62/315 (* x x)) 17/45) #s(hole binary64 (* (pow x 2) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))))
#s(approx (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) #s(hole binary64 (+ 1 (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) #s(hole binary64 (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (* (+ (* (+ (* 61/120 (* x x)) 5/6) (* x x)) 1) x) #s(hole binary64 (* 61/120 (pow x 5))))
#s(approx (* (+ (* (+ (* 61/120 (* x x)) 5/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (+ 61/120 (* 5/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 61/120 (* x x)) 5/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (+ 61/120 (+ (* 5/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* (+ (* 61/120 (* x x)) 5/6) (* x x)) 1) #s(hole binary64 (* 61/120 (pow x 4))))
#s(approx (+ (* (+ (* 61/120 (* x x)) 5/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 61/120 (* 5/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 61/120 (* x x)) 5/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 61/120 (+ (* 5/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* 61/120 (* x x)) 5/6) #s(hole binary64 (* 61/120 (pow x 2))))
#s(approx (+ (* 61/120 (* x x)) 5/6) #s(hole binary64 (* (pow x 2) (+ 61/120 (* 5/6 (/ 1 (pow x 2)))))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (- (/ (sin (- (+ eps (* 2 (PI))) (* -1 x))) (cos (- (+ eps (* 2 (PI))) (* -1 x)))) (/ (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 (* (+ (* (+ (* 61/120 (* x x)) 5/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 5/6 (/ 1 (pow x 2))) (pow x 2))) 61/120)))))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (- (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (- (+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (- (+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))) (cos (+ x (* 2 (PI)))))) (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (pow (cos (+ x (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ x (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (cos (+ x (* 2 (PI))))))))) (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))))
#s(approx (* (- (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) eps) #s(hole binary64 (* eps (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
#s(approx (- (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) #s(hole binary64 (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (neg eps) #s(hole binary64 (* -1 eps)))
#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 (* (- (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) eps) #s(hole binary64 (* -1 (* (pow eps 2) (- (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (sin x) (cos x)))))))
#s(approx (* (- (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) eps) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (- (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (sin x) (cos x)))) (+ (/ 1/2 (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ 1 eps))) (* 1/2 (/ (cos (* 2 x)) (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))))))))
#s(approx (- (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (sin x) (cos x)))))))
#s(approx (- (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) #s(hole binary64 (* eps (- (+ (* -1 (- (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (sin x) (cos x)))) (+ (/ 1/2 (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))) (/ 1 eps))) (* 1/2 (/ (cos (* 2 x)) (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))))))))
#s(approx (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) #s(hole binary64 (* eps (+ (* -1 (- (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (sin x) (cos x)))) (/ 1 eps)))))
#s(approx (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (/ (* (pow eps 2) (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))
#s(approx (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))))
#s(approx (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) #s(hole binary64 (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))
#s(approx (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) #s(hole binary64 (* eps (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))))
#s(approx (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) #s(hole binary64 (* eps (+ (/ 1 eps) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (- (/ (sin (- (+ x (* 2 (PI))) (* -1 eps))) (cos (- (+ x (* 2 (PI))) (* -1 eps)))) (/ (sin x) (cos x)))))
#s(approx (- (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) #s(hole binary64 (* -1 (* eps (- (+ (* -1 (/ (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))) eps)) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (sin x) (cos x)))))))
#s(approx (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))) (+ (/ 1 eps) (/ (sin x) (cos x))))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))))
#s(approx (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)))))))
#s(approx (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ 1 eps))))))

Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (+.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (neg.f64 (tan.f64 x))) (neg.f64 eps) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) eps))
(.f64 (fma.f64 (+.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (neg.f64 (tan.f64 x))) (neg.f64 eps) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) eps)
(.f64 eps (fma.f64 (+.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (neg.f64 (tan.f64 x))) (neg.f64 eps) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (.f64 (fma.f64 (+.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (neg.f64 (tan.f64 x))) (neg.f64 eps) #s(literal 1 binary64)) (fma.f64 (+.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (neg.f64 (tan.f64 x))) (neg.f64 eps) #s(literal 1 binary64))) (.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) (+.f64 (fma.f64 (+.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (neg.f64 (tan.f64 x))) (neg.f64 eps) #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (neg.f64 (tan.f64 x))) (neg.f64 eps) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (fma.f64 (+.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (neg.f64 (tan.f64 x))) (neg.f64 eps) #s(literal 1 binary64)) (fma.f64 (+.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (neg.f64 (tan.f64 x))) (neg.f64 eps) #s(literal 1 binary64)) (fma.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (fma.f64 (+.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (neg.f64 (tan.f64 x))) (neg.f64 eps) #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))))
(fma.f64 (+.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (neg.f64 (tan.f64 x))) (neg.f64 eps) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (neg.f64 eps) (+.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (neg.f64 (tan.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
(-.f64 (fma.f64 (+.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (neg.f64 (tan.f64 x))) (neg.f64 eps) #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(+.f64 (.f64 (+.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (neg.f64 (tan.f64 x))) (neg.f64 eps)) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (neg.f64 (tan.f64 x))) (neg.f64 eps)) (.f64 (+.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (neg.f64 (tan.f64 x))) (neg.f64 eps))) #s(literal 1 binary64)) (-.f64 (.f64 (+.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (neg.f64 (tan.f64 x))) (neg.f64 eps)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (neg.f64 (tan.f64 x))) (neg.f64 eps)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (+.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (neg.f64 (tan.f64 x))) (neg.f64 eps)) (.f64 (+.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (neg.f64 (tan.f64 x))) (neg.f64 eps)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (neg.f64 (tan.f64 x))) (neg.f64 eps)) #s(literal 1 binary64)))))
(fma.f64 (+.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (neg.f64 (tan.f64 x))) (neg.f64 eps) #s(literal 1 binary64))
(fma.f64 (neg.f64 eps) (+.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (neg.f64 (tan.f64 x))) #s(literal 1 binary64))
(+.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (neg.f64 (tan.f64 x))) (neg.f64 eps)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (neg.f64 (tan.f64 x))) (neg.f64 eps)))
(*.f64 #s(literal -1 binary64) eps)
(*.f64 eps #s(literal -1 binary64))
(neg.f64 eps)
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#s(approx (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (* x x)) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)))
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#s(approx (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 4/3 binary64) eps) x #s(literal 1 binary64)))
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#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (.f64 (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (.f64 (fma.f64 (fma.f64 #s(literal 17/15 binary64) (.f64 x x) #s(literal 4/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 248/315 binary64) (.f64 x x) #s(literal 17/15 binary64)) (.f64 x x) #s(literal 4/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 5/6 binary64) #s(literal 1 binary64)) x))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 277/1008 binary64) (.f64 x x) #s(literal 61/120 binary64)) (.f64 x x) #s(literal 5/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* 61/120 (* x x)) 5/6) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 5/6 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 61/120 (* x x)) 5/6) (* x x)) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* 61/120 (* x x)) 5/6) #s(literal 5/6 binary64))
#s(approx (+ (* 61/120 (* x x)) 5/6) (fma.f64 (*.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 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 (-.f64 (.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 (-.f64 (.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 (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
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#s(approx (pow (neg (tan x)) 3) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))))
#s(approx (neg (tan x)) (neg.f64 (tan.f64 x)))
#s(approx (tan x) (tan.f64 x))
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#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
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#s(approx (* 1/2 (cos (* 2 x))) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 x)) (cos.f64 (+.f64 x x)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
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#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 62/315 binary64)))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (/.f64 #s(literal 17/45 binary64) (*.f64 x x)) #s(literal 62/315 binary64))))
#s(approx (+ (* (+ (* 62/315 (* x x)) 17/45) (* x x)) 2/3) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 17/45 binary64) (.f64 x x))) #s(literal 62/315 binary64)) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (+ (* 62/315 (* x x)) 17/45) (.f64 (.f64 x x) #s(literal 62/315 binary64)))
#s(approx (+ (* 62/315 (* x x)) 17/45) (.f64 (+.f64 (/.f64 #s(literal 17/45 binary64) (.f64 x x)) #s(literal 62/315 binary64)) (*.f64 x x)))
#s(approx (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) (+.f64 (fma.f64 eps (.f64 (sin.f64 x) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (cos.f64 x))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (fma.f64 eps (.f64 (sin.f64 x) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (cos.f64 x))) #s(literal 1 binary64)))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (.f64 (sin.f64 x) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (cos.f64 x))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) (.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (sin.f64 x)))
#s(approx (* (+ (* (+ (* 61/120 (* x x)) 5/6) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 61/120 binary64)))
#s(approx (* (+ (* (+ (* 61/120 (* x x)) 5/6) (* x x)) 1) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 5/6 binary64) (.f64 x x)) #s(literal 61/120 binary64))))
#s(approx (* (+ (* (+ (* 61/120 (* x x)) 5/6) (* x x)) 1) x) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 5/6 binary64) (*.f64 x x))) #s(literal 61/120 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (+ (* 61/120 (* x x)) 5/6) (* x x)) 1) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 61/120 binary64)))
#s(approx (+ (* (+ (* 61/120 (* x x)) 5/6) (* x x)) 1) (.f64 (+.f64 (/.f64 #s(literal 5/6 binary64) (.f64 x x)) #s(literal 61/120 binary64)) (.f64 (.f64 x x) (*.f64 x x))))
#s(approx (+ (* (+ (* 61/120 (* x x)) 5/6) (* x x)) 1) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 5/6 binary64) (.f64 x x))) #s(literal 61/120 binary64)) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (+ (* 61/120 (* x x)) 5/6) (.f64 (.f64 x x) #s(literal 61/120 binary64)))
#s(approx (+ (* 61/120 (* x x)) 5/6) (.f64 (+.f64 (/.f64 #s(literal 5/6 binary64) (.f64 x x)) #s(literal 61/120 binary64)) (*.f64 x x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) eps) (neg.f64 x))) (tan.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (-.f64 eps (neg.f64 x))) (tan.f64 x)))
#s(approx (* (+ (* (+ (* 61/120 (* x x)) 5/6) (* x x)) 1) x) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 5/6 binary64)) (*.f64 x x))) #s(literal 61/120 binary64)) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 x) (tan.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (fma.f64 eps (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) x)))))))) (tan.f64 x)) (tan.f64 x)))
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#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (-.f64 (fma.f64 (-.f64 (neg.f64 (.f64 (+.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) x)))))))) #s(literal -1/2 binary64) (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) x)))))) #s(literal 1/6 binary64))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) x))))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) x)))))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) x))))))))) #s(literal 1/6 binary64)) eps)) (neg.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) x)))))))) (sin.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x))) (cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x))))) eps #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) x)))))))) eps (-.f64 (tan.f64 x) (tan.f64 x))))
#s(approx (* (- (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) eps) (.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) eps))
#s(approx (- (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (neg eps) (neg.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps (.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (cos.f64 x))) #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 (-.f64 (neg.f64 (.f64 (+.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -1/2 binary64) (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/6 binary64))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 1/6 binary64)) eps)) (neg.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (cos.f64 x))))) eps #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 (-.f64 (.f64 (-.f64 (-.f64 (.f64 (neg.f64 eps) (fma.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (cos.f64 x))) #s(literal -1/2 binary64) (fma.f64 (sin.f64 x) (/.f64 (+.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -1/2 binary64) (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/6 binary64))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 1/6 binary64)) (cos.f64 x)) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 x))) (cos.f64 x))))) #s(literal 1/6 binary64)) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -1/2 binary64) (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/6 binary64))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))) eps) (neg.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (cos.f64 x))))) eps #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) eps))
#s(approx (* (- (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) eps) (neg.f64 (.f64 (-.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (tan.f64 x)) (.f64 eps eps))))
#s(approx (* (- (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) eps) (.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) eps))) (neg.f64 (-.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (tan.f64 x)))) (/.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) eps))) (*.f64 eps eps)))
#s(approx (- (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (*.f64 (neg.f64 eps) (-.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (tan.f64 x))))
#s(approx (- (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) eps))) (neg.f64 (-.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (tan.f64 x)))) (/.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (neg.f64 (-.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (tan.f64 x)))) eps))
#s(approx (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) (/.f64 (.f64 (.f64 (.f64 eps eps) (sin.f64 x)) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (cos.f64 x)))
#s(approx (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) (.f64 (+.f64 (fma.f64 (sin.f64 x) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (cos.f64 x)) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) eps))) (*.f64 eps eps)))
#s(approx (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) (.f64 eps (.f64 (sin.f64 x) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (cos.f64 x)))))
#s(approx (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) (.f64 (+.f64 (fma.f64 (sin.f64 x) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (cos.f64 x)) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (.f64 (fma.f64 (sin.f64 x) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (cos.f64 x)) (/.f64 #s(literal 1 binary64) eps)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (-.f64 x (neg.f64 eps))) (tan.f64 x)))
#s(approx (- (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (.f64 (neg.f64 eps) (-.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) eps)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (tan.f64 x))))
#s(approx (+ (* (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (*.f64 (neg.f64 eps) (-.f64 (-.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) eps)) (tan.f64 x))))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (-.f64 x (neg.f64 eps))) (tan.f64 x)))
#s(approx (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) (.f64 (neg.f64 eps) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) eps)) (neg.f64 (.f64 (sin.f64 x) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (cos.f64 x)))))))
#s(approx (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (.f64 (neg.f64 eps) (-.f64 (neg.f64 (.f64 (sin.f64 x) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (cos.f64 x)))) (/.f64 #s(literal 1 binary64) eps))))

eval59.0ms (1%)

Memory: 14.0MiB live, 58.7MiB allocated; 5ms collecting garbage
Compiler: Compiled 8 327 to 3 028 computations (63.6% saved)

prune25.0ms (0.4%)

Memory

25.9MiB live, 25.9MiB allocated; 0ms collecting garbage

Pruning

31 alts after pruning (23 fresh and 8 done)

	Pruned	Kept	Total
New	409	9	418
Fresh	5	14	19
Picked	2	3	5
Done	0	5	5
Total	416	31	447

Accuracy

100.0%

Counts

447 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.5%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
✓	61.5%	(-.f64 (+.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
✓	4.0%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (PI.f64))) (tan.f64 x))
	3.9%	(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (tan.f64 x))
✓	61.3%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	60.1%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
▶	99.3%	#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (.f64 (fma.f64 (+.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (neg.f64 (tan.f64 x))) (neg.f64 eps) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) eps))
	99.3%	#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (.f64 (fma.f64 eps (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
	99.0%	#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (.f64 (-.f64 #s(approx (+ ( (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (.f64 (neg.f64 eps) (-.f64 (-.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) eps)) (tan.f64 x)))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) eps))
	98.1%	#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (.f64 #s(approx (- (+ ( (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (fma.f64 (+.f64 x eps) x #s(literal 1 binary64))) eps))
	98.1%	#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (.f64 #s(approx (- (+ ( (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (fma.f64 x eps #s(literal 1 binary64))) eps))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 #s(approx (/ ( (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) x) eps (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps (/.f64 #s(approx ( (- 1 (neg (pow (tan x) 2))) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 277/1008 binary64) (.f64 x x) #s(literal 61/120 binary64)) (.f64 x x) #s(literal 5/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps (/.f64 #s(approx ( (- 1 (neg (pow (tan x) 2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal 61/120 binary64) (.f64 x x) #s(literal 5/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps #s(approx (/ ( (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 248/315 binary64) (.f64 x x) #s(literal 17/15 binary64)) (.f64 x x) #s(literal 4/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
▶	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps #s(approx (/ ( (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (.f64 (fma.f64 (fma.f64 #s(literal 17/15 binary64) (.f64 x x) #s(literal 4/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps #s(approx (/ ( (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (.f64 (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
✓	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps #s(approx (/ ( (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) x) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
▶	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) x)) #s(literal 2 binary64)))) eps))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) #s(literal 2 binary64)))) eps))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (PI.f64) x)) #s(literal 2 binary64)))) eps))
✓	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
	98.3%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 #s(approx (tan x) (.f64 (fma.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)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)))) eps))
✓	98.3%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (tan x) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))))) eps))
▶	98.3%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (tan x) 2) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)))) eps))
	98.3%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
▶	98.1%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 x x #s(literal 1 binary64))) eps))
	3.1%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) eps)))
✓	98.1%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
✓	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) eps))
	98.2%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 2/3 binary64) eps) (*.f64 x x) eps)))

Compiler

Compiled 1 313 to 1 176 computations (10.4% saved)

series72.0ms (1.2%)

Memory

-3.5MiB live, 48.8MiB allocated; 7ms collecting garbage

Counts

62 → 214

Calls

Call 1

Inputs
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (.f64 (fma.f64 (+.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (neg.f64 (tan.f64 x))) (neg.f64 eps) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) eps))
(.f64 (fma.f64 (+.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (neg.f64 (tan.f64 x))) (neg.f64 eps) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) eps)
(fma.f64 (+.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (neg.f64 (tan.f64 x))) (neg.f64 eps) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
(+.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (neg.f64 (tan.f64 x)))
(neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)))
(pow.f64 (tan.f64 x) #s(literal 3 binary64))
(tan.f64 x)
x
#s(literal 3 binary64)
(neg.f64 (tan.f64 x))
(neg.f64 eps)
eps
(-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
#s(literal 1 binary64)
(neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(cos.f64 (+.f64 x x))
(+.f64 x x)
(fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 x x #s(literal 1 binary64))) eps))
(*.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 x x #s(literal 1 binary64))) eps)
#s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (tan x) 2) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)))) eps))
(.f64 (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (tan x) 2) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)))) eps)
(-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (tan x) 2) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))))
(neg.f64 #s(approx (pow (tan x) 2) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)))
#s(approx (pow (tan x) 2) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)
(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x)
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(fma.f64 (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64))
(*.f64 x x)
#s(literal 62/315 binary64)
#s(literal 17/45 binary64)
#s(literal 2/3 binary64)
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) x)) #s(literal 2 binary64)))) eps))
(*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) x)) #s(literal 2 binary64)))) eps)
(-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) x)) #s(literal 2 binary64))))
(neg.f64 (pow.f64 (tan.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(pow.f64 (tan.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) x)) #s(literal 2 binary64))
(tan.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) x))
(fma.f64 (PI.f64) #s(literal 2 binary64) x)
(PI.f64)
#s(literal 2 binary64)
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps #s(approx (/ ( (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (.f64 (fma.f64 (fma.f64 #s(literal 17/15 binary64) (.f64 x x) #s(literal 4/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(.f64 (-.f64 (fma.f64 eps #s(approx (/ ( (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (.f64 (fma.f64 (fma.f64 #s(literal 17/15 binary64) (.f64 x x) #s(literal 4/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps)
(-.f64 (fma.f64 eps #s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (.f64 (fma.f64 (fma.f64 #s(literal 17/15 binary64) (.f64 x x) #s(literal 4/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(fma.f64 eps #s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (.f64 (fma.f64 (fma.f64 #s(literal 17/15 binary64) (.f64 x x) #s(literal 4/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 1 binary64))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (.f64 (fma.f64 (fma.f64 #s(literal 17/15 binary64) (.f64 x x) #s(literal 4/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (fma.f64 #s(literal 17/15 binary64) (.f64 x x) #s(literal 4/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 17/15 binary64) (.f64 x x) #s(literal 4/3 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 17/15 binary64) (*.f64 x x) #s(literal 4/3 binary64))
#s(literal 17/15 binary64)
#s(literal 4/3 binary64)
(neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))

Outputs
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI)))))))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (+ (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))) (/ (* x (pow (sin (+ eps (* 2 (PI)))) 2)) (pow (cos (+ eps (* 2 (PI)))) 2)))))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (+ (* x (- (/ (* x (* (sin (+ eps (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2)))))) (cos (+ eps (* 2 (PI))))) (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin (+ eps (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (pow (cos (+ eps (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ eps (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (cos (+ eps (* 2 (PI)))))))) (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))))
#s(approx (* (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) eps) #s(hole binary64 (+ eps (* (pow eps 2) x))))
#s(approx (* (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) eps) #s(hole binary64 (+ eps (* x (+ (* eps x) (pow eps 2))))))
#s(approx (* (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) eps) #s(hole binary64 (+ eps (* x (+ (* x (+ eps (* 4/3 (* (pow eps 2) x)))) (pow eps 2))))))
#s(approx (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) #s(hole binary64 1))
#s(approx (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) #s(hole binary64 (+ 1 (* eps x))))
#s(approx (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) #s(hole binary64 (+ 1 (* x (+ eps x)))))
#s(approx (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) #s(hole binary64 (+ 1 (* x (+ eps (* x (+ 1 (* 4/3 (* eps x)))))))))
#s(approx (+ (neg (pow (tan x) 3)) (neg (tan x))) #s(hole binary64 (* -1 x)))
#s(approx (+ (neg (pow (tan x) 3)) (neg (tan x))) #s(hole binary64 (* x (- (* -4/3 (pow x 2)) 1))))
#s(approx (+ (neg (pow (tan x) 3)) (neg (tan x))) #s(hole binary64 (* x (- (* (pow x 2) (- (* -17/15 (pow x 2)) 4/3)) 1))))
#s(approx (+ (neg (pow (tan x) 3)) (neg (tan x))) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -248/315 (pow x 2)) 17/15)) 4/3)) 1))))
#s(approx (neg (pow (tan x) 3)) #s(hole binary64 (* -1 (pow x 3))))
#s(approx (neg (pow (tan x) 3)) #s(hole binary64 (* (pow x 3) (- (* -1 (pow x 2)) 1))))
#s(approx (neg (pow (tan x) 3)) #s(hole binary64 (* (pow x 3) (- (* (pow x 2) (- (* -11/15 (pow x 2)) 1)) 1))))
#s(approx (neg (pow (tan x) 3)) #s(hole binary64 (* (pow x 3) (- (* (pow x 2) (- (* (pow x 2) (- (* -88/189 (pow x 2)) 11/15)) 1)) 1))))
#s(approx (pow (tan x) 3) #s(hole binary64 (pow x 3)))
#s(approx (pow (tan x) 3) #s(hole binary64 (* (pow x 3) (+ 1 (pow x 2)))))
#s(approx (pow (tan x) 3) #s(hole binary64 (* (pow x 3) (+ 1 (* (pow x 2) (+ 1 (* 11/15 (pow x 2))))))))
#s(approx (pow (tan x) 3) #s(hole binary64 (* (pow x 3) (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 11/15 (* 88/189 (pow x 2))))))))))
#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 (neg (tan x)) #s(hole binary64 (* x (- (* -1/3 (pow x 2)) 1))))
#s(approx (neg (tan x)) #s(hole binary64 (* x (- (* (pow x 2) (- (* -2/15 (pow x 2)) 1/3)) 1))))
#s(approx (neg (tan x)) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/315 (pow x 2)) 2/15)) 1/3)) 1))))
#s(approx (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (* (pow x 2) (- (* -2/3 (pow x 2)) 1))))
#s(approx (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1))))
#s(approx (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -62/315 (pow x 2)) 17/45)) 2/3)) 1))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 1/2))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 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 (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#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 (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* eps (pow x 2)))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2))))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* (pow x 2) (+ (* 17/45 (* eps (pow x 2))) (* 2/3 eps))))))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* 2/3 (pow x 2))))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) #s(hole binary64 (+ 1 (* 2/3 (pow x 2)))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) #s(hole binary64 (* 2/3 x)))
#s(approx (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) #s(hole binary64 (* x (+ 2/3 (* 17/45 (pow x 2))))))
#s(approx (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) #s(hole binary64 2/3))
#s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) #s(hole binary64 (+ 2/3 (* 17/45 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) #s(hole binary64 (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2)))))))
#s(approx (+ (* (* x x) 62/315) 17/45) #s(hole binary64 17/45))
#s(approx (+ (* (* x x) 62/315) 17/45) #s(hole binary64 (+ 17/45 (* 62/315 (pow x 2)))))
#s(approx (* (- 1 (neg (pow (tan (+ (* (PI) 2) x)) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))))
#s(approx (* (- 1 (neg (pow (tan (+ (* (PI) 2) x)) 2))) eps) #s(hole binary64 (+ (* 2 (/ (* eps (* x (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))))) (cos (* 2 (PI))))) (* eps (+ 1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))))
#s(approx (* (- 1 (neg (pow (tan (+ (* (PI) 2) x)) 2))) eps) #s(hole binary64 (+ (* eps (+ 1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))) (* x (+ (* 2 (/ (* eps (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))) (cos (* 2 (PI))))) (* eps (* x (+ (* 2 (/ (* (pow (sin (* 2 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (pow (cos (* 2 (PI))) 2))) (pow (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))) 2)))))))))
#s(approx (* (- 1 (neg (pow (tan (+ (* (PI) 2) x)) 2))) eps) #s(hole binary64 (+ (* eps (+ 1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))) (* x (+ (* 2 (/ (* eps (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))) (cos (* 2 (PI))))) (* x (+ (* eps (* x (+ (* -2 (/ (* (sin (* 2 (PI))) (+ 1/6 (+ (* -1 (/ (* (pow (sin (* 2 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (pow (cos (* 2 (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (* 1/6 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))))) (cos (* 2 (PI))))) (* 2 (/ (* (sin (* 2 (PI))) (pow (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))) 2)) (cos (* 2 (PI)))))))) (* eps (+ (* 2 (/ (* (pow (sin (* 2 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (pow (cos (* 2 (PI))) 2))) (pow (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))) 2))))))))))
#s(approx (- 1 (neg (pow (tan (+ (* (PI) 2) x)) 2))) #s(hole binary64 (+ 1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))
#s(approx (- 1 (neg (pow (tan (+ (* (PI) 2) x)) 2))) #s(hole binary64 (+ 1 (+ (* 2 (/ (* x (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))) (cos (* 2 (PI))))) (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))))
#s(approx (- 1 (neg (pow (tan (+ (* (PI) 2) x)) 2))) #s(hole binary64 (+ 1 (+ (* x (+ (* 2 (/ (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (cos (* 2 (PI))))) (* x (+ (* 2 (/ (* (pow (sin (* 2 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (pow (cos (* 2 (PI))) 2))) (pow (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))) 2))))) (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))))
#s(approx (- 1 (neg (pow (tan (+ (* (PI) 2) x)) 2))) #s(hole binary64 (+ 1 (+ (* x (+ (* 2 (/ (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (cos (* 2 (PI))))) (* x (+ (* 2 (/ (* (pow (sin (* 2 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (pow (cos (* 2 (PI))) 2))) (+ (* x (+ (* -2 (/ (* (sin (* 2 (PI))) (+ 1/6 (+ (* -1 (/ (* (pow (sin (* 2 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (pow (cos (* 2 (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (* 1/6 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))))) (cos (* 2 (PI))))) (* 2 (/ (* (sin (* 2 (PI))) (pow (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))) 2)) (cos (* 2 (PI))))))) (pow (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))) 2)))))) (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))))
#s(approx (neg (pow (tan (+ (* (PI) 2) x)) 2)) #s(hole binary64 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))
#s(approx (neg (pow (tan (+ (* (PI) 2) x)) 2)) #s(hole binary64 (- (* -2 (/ (* x (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))) (cos (* 2 (PI))))) (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))
#s(approx (neg (pow (tan (+ (* (PI) 2) x)) 2)) #s(hole binary64 (- (* x (- (* -1 (* x (+ (* 2 (/ (* (pow (sin (* 2 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (pow (cos (* 2 (PI))) 2))) (pow (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))) 2)))) (* 2 (/ (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (cos (* 2 (PI))))))) (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))
#s(approx (neg (pow (tan (+ (* (PI) 2) x)) 2)) #s(hole binary64 (- (* x (- (* x (- (* -1 (* x (+ (* -2 (/ (* (sin (* 2 (PI))) (+ 1/6 (+ (* -1 (/ (* (pow (sin (* 2 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (pow (cos (* 2 (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (* 1/6 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))))) (cos (* 2 (PI))))) (* 2 (/ (* (sin (* 2 (PI))) (pow (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))) 2)) (cos (* 2 (PI)))))))) (+ (* 2 (/ (* (pow (sin (* 2 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (pow (cos (* 2 (PI))) 2))) (pow (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))) 2)))) (* 2 (/ (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (cos (* 2 (PI))))))) (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))
#s(approx (pow (tan (+ (* (PI) 2) x)) 2) #s(hole binary64 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))
#s(approx (pow (tan (+ (* (PI) 2) x)) 2) #s(hole binary64 (+ (* 2 (/ (* x (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))) (cos (* 2 (PI))))) (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))
#s(approx (pow (tan (+ (* (PI) 2) x)) 2) #s(hole binary64 (+ (* x (+ (* 2 (/ (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (cos (* 2 (PI))))) (* x (+ (* 2 (/ (* (pow (sin (* 2 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (pow (cos (* 2 (PI))) 2))) (pow (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))) 2))))) (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))
#s(approx (pow (tan (+ (* (PI) 2) x)) 2) #s(hole binary64 (+ (* x (+ (* 2 (/ (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (cos (* 2 (PI))))) (* x (+ (* 2 (/ (* (pow (sin (* 2 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (pow (cos (* 2 (PI))) 2))) (+ (* x (+ (* -2 (/ (* (sin (* 2 (PI))) (+ 1/6 (+ (* -1 (/ (* (pow (sin (* 2 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (pow (cos (* 2 (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (* 1/6 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))))) (cos (* 2 (PI))))) (* 2 (/ (* (sin (* 2 (PI))) (pow (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))) 2)) (cos (* 2 (PI))))))) (pow (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))) 2)))))) (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))
#s(approx (tan (+ (* (PI) 2) x)) #s(hole binary64 (/ (sin (* 2 (PI))) (cos (* 2 (PI))))))
#s(approx (tan (+ (* (PI) 2) x)) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (tan (+ (* (PI) 2) x)) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))) (cos (* 2 (PI))))) (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (tan (+ (* (PI) 2) x)) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (* 2 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (pow (cos (* 2 (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (* 1/6 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))))) (* -1 (/ (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (cos (* 2 (PI)))))))) (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (+ (* (PI) 2) x) #s(hole binary64 (* 2 (PI))))
#s(approx (+ (* (PI) 2) x) #s(hole binary64 (+ x (* 2 (PI)))))
#s(approx (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* x (+ (* x (+ eps (* eps (* x (- (* 5/6 eps) (* -1/2 eps)))))) (pow eps 2))))))
#s(approx (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps))))))))))
#s(approx (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) #s(hole binary64 (+ 1 (* x (+ eps (* (pow x 2) (- (* 5/6 eps) (* -1/2 eps))))))))
#s(approx (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) #s(hole binary64 (+ 1 (* x (+ eps (* (pow x 2) (- (+ (* 5/6 eps) (* (pow x 2) (- (* 61/120 eps) (+ (* -1/2 (- (* 5/6 eps) (* -1/2 eps))) (* 1/24 eps))))) (* -1/2 eps))))))))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 (* x (+ 1 (* 4/3 (pow x 2))))))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 4/3 (* 17/15 (pow x 2))))))))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/15 (* 248/315 (pow x 2))))))))))
#s(approx (+ (* (+ (* 17/15 (* x x)) 4/3) (* x x)) 1) #s(hole binary64 (+ 1 (* 4/3 (pow x 2)))))
#s(approx (+ (* (+ (* 17/15 (* x x)) 4/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 4/3 (* 17/15 (pow x 2)))))))
#s(approx (+ (* 17/15 (* x x)) 4/3) #s(hole binary64 4/3))
#s(approx (+ (* 17/15 (* x x)) 4/3) #s(hole binary64 (+ 4/3 (* 17/15 (pow x 2)))))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (- (/ (sin (+ eps (+ x (* 2 (PI))))) (cos (+ eps (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))))
#s(approx (* (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) eps) #s(hole binary64 (* eps (- (+ 1 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
#s(approx (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) #s(hole binary64 (- (+ 1 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (+ (neg (pow (tan x) 3)) (neg (tan x))) #s(hole binary64 (* -1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))))
#s(approx (neg (pow (tan x) 3)) #s(hole binary64 (* -1 (/ (pow (sin x) 3) (pow (cos x) 3)))))
#s(approx (pow (tan x) 3) #s(hole binary64 (/ (pow (sin x) 3) (pow (cos x) 3))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (neg (tan x)) #s(hole binary64 (* -1 (/ (sin x) (cos x)))))
#s(approx (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (- (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (+ (* x x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (pow (tan x) 2) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (* (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) x) #s(hole binary64 (* 62/315 (pow x 8))))
#s(approx (* (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 62/315 (+ (/ 2/3 (pow x 4)) (* 17/45 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 62/315 (+ (/ 2/3 (pow x 4)) (+ (* 17/45 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* 62/315 (pow x 7))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 62/315 (+ (/ 2/3 (pow x 4)) (* 17/45 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 62/315 (+ (/ 2/3 (pow x 4)) (+ (* 17/45 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) #s(hole binary64 (* 62/315 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 62/315 (+ (/ 2/3 (pow x 4)) (* 17/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 62/315 (+ (/ 2/3 (pow x 4)) (+ (* 17/45 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) #s(hole binary64 (* 62/315 (pow x 5))))
#s(approx (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) #s(hole binary64 (* (pow x 5) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) #s(hole binary64 (* (pow x 5) (+ 62/315 (+ (/ 2/3 (pow x 4)) (* 17/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) #s(hole binary64 (* 62/315 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) #s(hole binary64 (* (pow x 4) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) #s(hole binary64 (* (pow x 4) (+ 62/315 (+ (/ 2/3 (pow x 4)) (* 17/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) 62/315) 17/45) #s(hole binary64 (* 62/315 (pow x 2))))
#s(approx (+ (* (* x x) 62/315) 17/45) #s(hole binary64 (* (pow x 2) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))))
#s(approx (* (- 1 (neg (pow (tan (+ (* (PI) 2) x)) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))))
#s(approx (- 1 (neg (pow (tan (+ (* (PI) 2) x)) 2))) #s(hole binary64 (+ 1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))
#s(approx (neg (pow (tan (+ (* (PI) 2) x)) 2)) #s(hole binary64 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))
#s(approx (pow (tan (+ (* (PI) 2) x)) 2) #s(hole binary64 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))
#s(approx (tan (+ (* (PI) 2) x)) #s(hole binary64 (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))))
#s(approx (+ (* (PI) 2) x) #s(hole binary64 (* x (+ 1 (* 2 (/ (PI) x))))))
#s(approx (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) #s(hole binary64 (+ 1 (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))
#s(approx (* (+ (* (+ (* 17/15 (* x x)) 4/3) (* x x)) 1) x) #s(hole binary64 (* 17/15 (pow x 5))))
#s(approx (* (+ (* (+ (* 17/15 (* x x)) 4/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (+ 17/15 (* 4/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 17/15 (* x x)) 4/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (+ 17/15 (+ (* 4/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* (+ (* 17/15 (* x x)) 4/3) (* x x)) 1) #s(hole binary64 (* 17/15 (pow x 4))))
#s(approx (+ (* (+ (* 17/15 (* x x)) 4/3) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 17/15 (* 4/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 17/15 (* x x)) 4/3) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 17/15 (+ (* 4/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* 17/15 (* x x)) 4/3) #s(hole binary64 (* 17/15 (pow x 2))))
#s(approx (+ (* 17/15 (* x x)) 4/3) #s(hole binary64 (* (pow x 2) (+ 17/15 (* 4/3 (/ 1 (pow x 2)))))))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (- (/ (sin (- (+ eps (* 2 (PI))) (* -1 x))) (cos (- (+ eps (* 2 (PI))) (* -1 x)))) (/ (sin x) (cos x)))))
#s(approx (* (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) eps) #s(hole binary64 (* eps (- (+ 1 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))) (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))) (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))))))
#s(approx (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) #s(hole binary64 (- (+ 1 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))) (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))) (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))))
#s(approx (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))))
#s(approx (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (- (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (neg (* -2 x))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x)))))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (cos (neg (* -2 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 (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 17/45 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 62/315)))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 2/3 (/ 1 (pow x 2))) (pow x 4))) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 17/45 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 62/315)))))
#s(approx (* (- 1 (neg (pow (tan (+ (* (PI) 2) x)) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin (- (* 2 (PI)) (* -1 x))) 2) (pow (cos (- (* 2 (PI)) (* -1 x))) 2))))))
#s(approx (- 1 (neg (pow (tan (+ (* (PI) 2) x)) 2))) #s(hole binary64 (+ 1 (/ (pow (sin (- (* 2 (PI)) (* -1 x))) 2) (pow (cos (- (* 2 (PI)) (* -1 x))) 2)))))
#s(approx (neg (pow (tan (+ (* (PI) 2) x)) 2)) #s(hole binary64 (* -1 (/ (pow (sin (- (* 2 (PI)) (* -1 x))) 2) (pow (cos (- (* 2 (PI)) (* -1 x))) 2)))))
#s(approx (pow (tan (+ (* (PI) 2) x)) 2) #s(hole binary64 (/ (pow (sin (- (* 2 (PI)) (* -1 x))) 2) (pow (cos (- (* 2 (PI)) (* -1 x))) 2))))
#s(approx (tan (+ (* (PI) 2) x)) #s(hole binary64 (/ (sin (- (* 2 (PI)) (* -1 x))) (cos (- (* 2 (PI)) (* -1 x))))))
#s(approx (+ (* (PI) 2) x) #s(hole binary64 (* -1 (* x (- (* -2 (/ (PI) x)) 1)))))
#s(approx (* (+ (* (+ (* 17/15 (* x x)) 4/3) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 4/3 (/ 1 (pow x 2))) (pow x 2))) 17/15)))))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (- (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (- (+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (- (+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))) (cos (+ x (* 2 (PI)))))) (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (pow (cos (+ x (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ x (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (cos (+ x (* 2 (PI))))))))) (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))))
#s(approx (* (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) eps) #s(hole binary64 (* eps (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
#s(approx (neg eps) #s(hole binary64 (* -1 eps)))
#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 (* (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) eps) #s(hole binary64 (* (pow eps 2) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))))
#s(approx (* (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) eps) #s(hole binary64 (* (pow eps 2) (- (+ (/ 1/2 (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (* 1/2 (/ (cos (* 2 x)) (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))))))))
#s(approx (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) #s(hole binary64 (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))))
#s(approx (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) #s(hole binary64 (* eps (- (+ (/ 1/2 (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (* 1/2 (/ (cos (* 2 x)) (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))))))))
#s(approx (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (/ (* (pow eps 2) (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))
#s(approx (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))))
#s(approx (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) #s(hole binary64 (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))
#s(approx (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) #s(hole binary64 (* eps (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))))
#s(approx (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) #s(hole binary64 (* eps (+ (/ 1 eps) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (- (/ (sin (- (+ x (* 2 (PI))) (* -1 eps))) (cos (- (+ x (* 2 (PI))) (* -1 eps)))) (/ (sin x) (cos x)))))
#s(approx (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) #s(hole binary64 (* -1 (* eps (+ (* -1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* -1 (/ (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 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 (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)))))))
#s(approx (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ 1 eps))))))

Calls

6 calls:

Time	Variable		Point	Expression
19.0ms	eps	@	inf	((- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (* (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) eps) (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg (pow (tan x) 3)) (pow (tan x) 3) (tan x) x 3 (neg (tan x)) (neg eps) eps (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2)) 1/2 (* (cos (+ x x)) 1/2) (cos (+ x x)) (+ x x) (+ (* (cos (+ x x)) 1/2) 1/2) (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (- 1 (neg (pow (tan x) 2))) (+ (* x x) 1) (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (- 1 (neg (pow (tan x) 2))) (neg (pow (tan x) 2)) (pow (tan x) 2) (* (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) x) (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) (+ (* (* x x) 62/315) 17/45) (* x x) 62/315 17/45 2/3 (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan (+ (* (PI) 2) x)) 2))) eps) (- 1 (neg (pow (tan (+ (* (PI) 2) x)) 2))) (neg (pow (tan (+ (* (PI) 2) x)) 2)) (pow (tan (+ (* (PI) 2) x)) 2) (tan (+ (* (PI) 2) x)) (+ (* (PI) 2) x) (PI) 2 (- (tan (+ x eps)) (tan x)) (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (* (+ (* (+ (* 17/15 (* x x)) 4/3) (* x x)) 1) x) (+ (* (+ (* 17/15 (* x x)) 4/3) (* x x)) 1) (+ (* 17/15 (* x x)) 4/3) 17/15 4/3 (neg (pow (tan x) 2)) (pow (tan x) 2))
14.0ms	x	@	0	((- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (* (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) eps) (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg (pow (tan x) 3)) (pow (tan x) 3) (tan x) x 3 (neg (tan x)) (neg eps) eps (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2)) 1/2 (* (cos (+ x x)) 1/2) (cos (+ x x)) (+ x x) (+ (* (cos (+ x x)) 1/2) 1/2) (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (- 1 (neg (pow (tan x) 2))) (+ (* x x) 1) (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (- 1 (neg (pow (tan x) 2))) (neg (pow (tan x) 2)) (pow (tan x) 2) (* (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) x) (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) (+ (* (* x x) 62/315) 17/45) (* x x) 62/315 17/45 2/3 (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan (+ (* (PI) 2) x)) 2))) eps) (- 1 (neg (pow (tan (+ (* (PI) 2) x)) 2))) (neg (pow (tan (+ (* (PI) 2) x)) 2)) (pow (tan (+ (* (PI) 2) x)) 2) (tan (+ (* (PI) 2) x)) (+ (* (PI) 2) x) (PI) 2 (- (tan (+ x eps)) (tan x)) (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (* (+ (* (+ (* 17/15 (* x x)) 4/3) (* x x)) 1) x) (+ (* (+ (* 17/15 (* x x)) 4/3) (* x x)) 1) (+ (* 17/15 (* x x)) 4/3) 17/15 4/3 (neg (pow (tan x) 2)) (pow (tan x) 2))
11.0ms	x	@	-inf	((- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (* (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) eps) (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg (pow (tan x) 3)) (pow (tan x) 3) (tan x) x 3 (neg (tan x)) (neg eps) eps (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2)) 1/2 (* (cos (+ x x)) 1/2) (cos (+ x x)) (+ x x) (+ (* (cos (+ x x)) 1/2) 1/2) (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (- 1 (neg (pow (tan x) 2))) (+ (* x x) 1) (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (- 1 (neg (pow (tan x) 2))) (neg (pow (tan x) 2)) (pow (tan x) 2) (* (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) x) (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) (+ (* (* x x) 62/315) 17/45) (* x x) 62/315 17/45 2/3 (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan (+ (* (PI) 2) x)) 2))) eps) (- 1 (neg (pow (tan (+ (* (PI) 2) x)) 2))) (neg (pow (tan (+ (* (PI) 2) x)) 2)) (pow (tan (+ (* (PI) 2) x)) 2) (tan (+ (* (PI) 2) x)) (+ (* (PI) 2) x) (PI) 2 (- (tan (+ x eps)) (tan x)) (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (* (+ (* (+ (* 17/15 (* x x)) 4/3) (* x x)) 1) x) (+ (* (+ (* 17/15 (* x x)) 4/3) (* x x)) 1) (+ (* 17/15 (* x x)) 4/3) 17/15 4/3 (neg (pow (tan x) 2)) (pow (tan x) 2))
9.0ms	x	@	inf	((- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (* (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) eps) (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg (pow (tan x) 3)) (pow (tan x) 3) (tan x) x 3 (neg (tan x)) (neg eps) eps (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2)) 1/2 (* (cos (+ x x)) 1/2) (cos (+ x x)) (+ x x) (+ (* (cos (+ x x)) 1/2) 1/2) (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (- 1 (neg (pow (tan x) 2))) (+ (* x x) 1) (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (- 1 (neg (pow (tan x) 2))) (neg (pow (tan x) 2)) (pow (tan x) 2) (* (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) x) (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) (+ (* (* x x) 62/315) 17/45) (* x x) 62/315 17/45 2/3 (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan (+ (* (PI) 2) x)) 2))) eps) (- 1 (neg (pow (tan (+ (* (PI) 2) x)) 2))) (neg (pow (tan (+ (* (PI) 2) x)) 2)) (pow (tan (+ (* (PI) 2) x)) 2) (tan (+ (* (PI) 2) x)) (+ (* (PI) 2) x) (PI) 2 (- (tan (+ x eps)) (tan x)) (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (* (+ (* (+ (* 17/15 (* x x)) 4/3) (* x x)) 1) x) (+ (* (+ (* 17/15 (* x x)) 4/3) (* x x)) 1) (+ (* 17/15 (* x x)) 4/3) 17/15 4/3 (neg (pow (tan x) 2)) (pow (tan x) 2))
7.0ms	eps	@	0	((- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (* (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) eps) (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg (pow (tan x) 3)) (pow (tan x) 3) (tan x) x 3 (neg (tan x)) (neg eps) eps (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1/2 (* (cos (+ x x)) 1/2)) 1/2 (* (cos (+ x x)) 1/2) (cos (+ x x)) (+ x x) (+ (* (cos (+ x x)) 1/2) 1/2) (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (- 1 (neg (pow (tan x) 2))) (+ (* x x) 1) (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (- 1 (neg (pow (tan x) 2))) (neg (pow (tan x) 2)) (pow (tan x) 2) (* (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) x) (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) (+ (* (* x x) 62/315) 17/45) (* x x) 62/315 17/45 2/3 (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan (+ (* (PI) 2) x)) 2))) eps) (- 1 (neg (pow (tan (+ (* (PI) 2) x)) 2))) (neg (pow (tan (+ (* (PI) 2) x)) 2)) (pow (tan (+ (* (PI) 2) x)) 2) (tan (+ (* (PI) 2) x)) (+ (* (PI) 2) x) (PI) 2 (- (tan (+ x eps)) (tan x)) (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (* (+ (* (+ (* 17/15 (* x x)) 4/3) (* x x)) 1) x) (+ (* (+ (* 17/15 (* x x)) 4/3) (* x x)) 1) (+ (* 17/15 (* x x)) 4/3) 17/15 4/3 (neg (pow (tan x) 2)) (pow (tan x) 2))

rewrite251.0ms (4.1%)

Memory

3.0MiB live, 187.7MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1062	9447
0	1147	8202
1	6597	8202
0	8006	7988

Stop Event

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

Counts

276 → 497

Calls

Call 1

Inputs
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (.f64 (fma.f64 (+.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (neg.f64 (tan.f64 x))) (neg.f64 eps) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) eps))
(.f64 (fma.f64 (+.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (neg.f64 (tan.f64 x))) (neg.f64 eps) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) eps)
(fma.f64 (+.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (neg.f64 (tan.f64 x))) (neg.f64 eps) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
(+.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (neg.f64 (tan.f64 x)))
(neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)))
(pow.f64 (tan.f64 x) #s(literal 3 binary64))
(tan.f64 x)
x
#s(literal 3 binary64)
(neg.f64 (tan.f64 x))
(neg.f64 eps)
eps
(-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
#s(literal 1 binary64)
(neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(cos.f64 (+.f64 x x))
(+.f64 x x)
(fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
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(-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) x)) #s(literal 2 binary64))))
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(pow.f64 (tan.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) x)) #s(literal 2 binary64))
(tan.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) x))
(fma.f64 (PI.f64) #s(literal 2 binary64) x)
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#s(literal 2 binary64)
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#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (.f64 (fma.f64 (fma.f64 #s(literal 17/15 binary64) (.f64 x x) #s(literal 4/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (fma.f64 #s(literal 17/15 binary64) (.f64 x x) #s(literal 4/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
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(fma.f64 #s(literal 17/15 binary64) (*.f64 x x) #s(literal 4/3 binary64))
#s(literal 17/15 binary64)
#s(literal 4/3 binary64)
(neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI)))))))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (+ (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))) (/ (* x (pow (sin (+ eps (* 2 (PI)))) 2)) (pow (cos (+ eps (* 2 (PI)))) 2)))))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (+ (* x (- (/ (* x (* (sin (+ eps (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2)))))) (cos (+ eps (* 2 (PI))))) (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))))
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#s(approx (* (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) eps) #s(hole binary64 (+ eps (* (pow eps 2) x))))
#s(approx (* (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) eps) #s(hole binary64 (+ eps (* x (+ (* eps x) (pow eps 2))))))
#s(approx (* (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) eps) #s(hole binary64 (+ eps (* x (+ (* x (+ eps (* 4/3 (* (pow eps 2) x)))) (pow eps 2))))))
#s(approx (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) #s(hole binary64 1))
#s(approx (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) #s(hole binary64 (+ 1 (* eps x))))
#s(approx (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) #s(hole binary64 (+ 1 (* x (+ eps x)))))
#s(approx (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) #s(hole binary64 (+ 1 (* x (+ eps (* x (+ 1 (* 4/3 (* eps x)))))))))
#s(approx (+ (neg (pow (tan x) 3)) (neg (tan x))) #s(hole binary64 (* -1 x)))
#s(approx (+ (neg (pow (tan x) 3)) (neg (tan x))) #s(hole binary64 (* x (- (* -4/3 (pow x 2)) 1))))
#s(approx (+ (neg (pow (tan x) 3)) (neg (tan x))) #s(hole binary64 (* x (- (* (pow x 2) (- (* -17/15 (pow x 2)) 4/3)) 1))))
#s(approx (+ (neg (pow (tan x) 3)) (neg (tan x))) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -248/315 (pow x 2)) 17/15)) 4/3)) 1))))
#s(approx (neg (pow (tan x) 3)) #s(hole binary64 (* -1 (pow x 3))))
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#s(approx (neg (pow (tan x) 3)) #s(hole binary64 (* (pow x 3) (- (* (pow x 2) (- (* -11/15 (pow x 2)) 1)) 1))))
#s(approx (neg (pow (tan x) 3)) #s(hole binary64 (* (pow x 3) (- (* (pow x 2) (- (* (pow x 2) (- (* -88/189 (pow x 2)) 11/15)) 1)) 1))))
#s(approx (pow (tan x) 3) #s(hole binary64 (pow x 3)))
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#s(approx (pow (tan x) 3) #s(hole binary64 (* (pow x 3) (+ 1 (* (pow x 2) (+ 1 (* 11/15 (pow x 2))))))))
#s(approx (pow (tan x) 3) #s(hole binary64 (* (pow x 3) (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 11/15 (* 88/189 (pow x 2))))))))))
#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 (neg (tan x)) #s(hole binary64 (* x (- (* -1/3 (pow x 2)) 1))))
#s(approx (neg (tan x)) #s(hole binary64 (* x (- (* (pow x 2) (- (* -2/15 (pow x 2)) 1/3)) 1))))
#s(approx (neg (tan x)) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/315 (pow x 2)) 2/15)) 1/3)) 1))))
#s(approx (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (+ 1 (pow x 2))))
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#s(approx (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (* (pow x 2) (- (* -2/3 (pow x 2)) 1))))
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#s(approx (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -62/315 (pow x 2)) 17/45)) 2/3)) 1))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
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#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 1/2))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 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 (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#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 (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* eps (pow x 2)))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2))))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* (pow x 2) (+ (* 17/45 (* eps (pow x 2))) (* 2/3 eps))))))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* 2/3 (pow x 2))))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) #s(hole binary64 (+ 1 (* 2/3 (pow x 2)))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) #s(hole binary64 (* 2/3 x)))
#s(approx (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) #s(hole binary64 (* x (+ 2/3 (* 17/45 (pow x 2))))))
#s(approx (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) #s(hole binary64 2/3))
#s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) #s(hole binary64 (+ 2/3 (* 17/45 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) #s(hole binary64 (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2)))))))
#s(approx (+ (* (* x x) 62/315) 17/45) #s(hole binary64 17/45))
#s(approx (+ (* (* x x) 62/315) 17/45) #s(hole binary64 (+ 17/45 (* 62/315 (pow x 2)))))
#s(approx (* (- 1 (neg (pow (tan (+ (* (PI) 2) x)) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))))
#s(approx (* (- 1 (neg (pow (tan (+ (* (PI) 2) x)) 2))) eps) #s(hole binary64 (+ (* 2 (/ (* eps (* x (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))))) (cos (* 2 (PI))))) (* eps (+ 1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))))
#s(approx (* (- 1 (neg (pow (tan (+ (* (PI) 2) x)) 2))) eps) #s(hole binary64 (+ (* eps (+ 1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))) (* x (+ (* 2 (/ (* eps (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))) (cos (* 2 (PI))))) (* eps (* x (+ (* 2 (/ (* (pow (sin (* 2 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (pow (cos (* 2 (PI))) 2))) (pow (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))) 2)))))))))
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#s(approx (- 1 (neg (pow (tan (+ (* (PI) 2) x)) 2))) #s(hole binary64 (+ 1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))
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#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 (* x (+ 1 (* 4/3 (pow x 2))))))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 4/3 (* 17/15 (pow x 2))))))))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/15 (* 248/315 (pow x 2))))))))))
#s(approx (+ (* (+ (* 17/15 (* x x)) 4/3) (* x x)) 1) #s(hole binary64 (+ 1 (* 4/3 (pow x 2)))))
#s(approx (+ (* (+ (* 17/15 (* x x)) 4/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 4/3 (* 17/15 (pow x 2)))))))
#s(approx (+ (* 17/15 (* x x)) 4/3) #s(hole binary64 4/3))
#s(approx (+ (* 17/15 (* x x)) 4/3) #s(hole binary64 (+ 4/3 (* 17/15 (pow x 2)))))
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#s(approx (* (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) eps) #s(hole binary64 (* eps (- (+ 1 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
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#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
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#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
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#s(approx (+ (* x x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
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#s(approx (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) #s(hole binary64 (* 62/315 (pow x 5))))
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#s(approx (+ (* (* x x) 62/315) 17/45) #s(hole binary64 (* 62/315 (pow x 2))))
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#s(approx (* (- 1 (neg (pow (tan (+ (* (PI) 2) x)) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))))
#s(approx (- 1 (neg (pow (tan (+ (* (PI) 2) x)) 2))) #s(hole binary64 (+ 1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))
#s(approx (neg (pow (tan (+ (* (PI) 2) x)) 2)) #s(hole binary64 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))
#s(approx (pow (tan (+ (* (PI) 2) x)) 2) #s(hole binary64 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))
#s(approx (tan (+ (* (PI) 2) x)) #s(hole binary64 (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))))
#s(approx (+ (* (PI) 2) x) #s(hole binary64 (* x (+ 1 (* 2 (/ (PI) x))))))
#s(approx (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) #s(hole binary64 (+ 1 (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))
#s(approx (* (+ (* (+ (* 17/15 (* x x)) 4/3) (* x x)) 1) x) #s(hole binary64 (* 17/15 (pow x 5))))
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#s(approx (+ (* (+ (* 17/15 (* x x)) 4/3) (* x x)) 1) #s(hole binary64 (* 17/15 (pow x 4))))
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#s(approx (+ (* 17/15 (* x x)) 4/3) #s(hole binary64 (* 17/15 (pow x 2))))
#s(approx (+ (* 17/15 (* x x)) 4/3) #s(hole binary64 (* (pow x 2) (+ 17/15 (* 4/3 (/ 1 (pow x 2)))))))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (- (/ (sin (- (+ eps (* 2 (PI))) (* -1 x))) (cos (- (+ eps (* 2 (PI))) (* -1 x)))) (/ (sin x) (cos x)))))
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#s(approx (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) #s(hole binary64 (- (+ 1 (+ (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))) (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))) (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))))
#s(approx (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) #s(hole binary64 (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))) (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))))
#s(approx (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (- (* 1/2 (/ (cos (neg (* -2 x))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))) (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (+ 1/2 (* 1/2 (cos (neg (* -2 x))))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (neg (* -2 x))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x)))))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (cos (neg (* -2 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 (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 17/45 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 62/315)))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 2/3 (/ 1 (pow x 2))) (pow x 4))) (+ 62/315 (* 17/45 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 17/45 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 62/315)))))
#s(approx (* (- 1 (neg (pow (tan (+ (* (PI) 2) x)) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin (- (* 2 (PI)) (* -1 x))) 2) (pow (cos (- (* 2 (PI)) (* -1 x))) 2))))))
#s(approx (- 1 (neg (pow (tan (+ (* (PI) 2) x)) 2))) #s(hole binary64 (+ 1 (/ (pow (sin (- (* 2 (PI)) (* -1 x))) 2) (pow (cos (- (* 2 (PI)) (* -1 x))) 2)))))
#s(approx (neg (pow (tan (+ (* (PI) 2) x)) 2)) #s(hole binary64 (* -1 (/ (pow (sin (- (* 2 (PI)) (* -1 x))) 2) (pow (cos (- (* 2 (PI)) (* -1 x))) 2)))))
#s(approx (pow (tan (+ (* (PI) 2) x)) 2) #s(hole binary64 (/ (pow (sin (- (* 2 (PI)) (* -1 x))) 2) (pow (cos (- (* 2 (PI)) (* -1 x))) 2))))
#s(approx (tan (+ (* (PI) 2) x)) #s(hole binary64 (/ (sin (- (* 2 (PI)) (* -1 x))) (cos (- (* 2 (PI)) (* -1 x))))))
#s(approx (+ (* (PI) 2) x) #s(hole binary64 (* -1 (* x (- (* -2 (/ (PI) x)) 1)))))
#s(approx (* (+ (* (+ (* 17/15 (* x x)) 4/3) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 4/3 (/ 1 (pow x 2))) (pow x 2))) 17/15)))))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (- (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (- (+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (- (+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))) (cos (+ x (* 2 (PI)))))) (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (pow (cos (+ x (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ x (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (cos (+ x (* 2 (PI))))))))) (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))))
#s(approx (* (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) eps) #s(hole binary64 (* eps (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
#s(approx (neg eps) #s(hole binary64 (* -1 eps)))
#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 (* (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) eps) #s(hole binary64 (* (pow eps 2) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))))
#s(approx (* (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) eps) #s(hole binary64 (* (pow eps 2) (- (+ (/ 1/2 (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (* 1/2 (/ (cos (* 2 x)) (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))))))))
#s(approx (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) #s(hole binary64 (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))))
#s(approx (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) #s(hole binary64 (* eps (- (+ (/ 1/2 (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (* 1/2 (/ (cos (* 2 x)) (* eps (+ 1/2 (* 1/2 (cos (* 2 x)))))))))))
#s(approx (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (/ (* (pow eps 2) (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))
#s(approx (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))))
#s(approx (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) #s(hole binary64 (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))
#s(approx (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) #s(hole binary64 (* eps (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))))
#s(approx (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) #s(hole binary64 (* eps (+ (/ 1 eps) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) #s(hole binary64 (- (/ (sin (- (+ x (* 2 (PI))) (* -1 eps))) (cos (- (+ x (* 2 (PI))) (* -1 eps)))) (/ (sin x) (cos x)))))
#s(approx (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) #s(hole binary64 (* -1 (* eps (+ (* -1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* -1 (/ (- (+ 1 (* 1/2 (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* 1/2 (/ (cos (* 2 x)) (+ 1/2 (* 1/2 (cos (* 2 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 (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)))))))
#s(approx (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ 1 eps))))))

Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (tan.f64 x))) (neg.f64 eps) #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) eps))
(.f64 (-.f64 (fma.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (tan.f64 x))) (neg.f64 eps) #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) eps)
(.f64 eps (-.f64 (fma.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (tan.f64 x))) (neg.f64 eps) #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (tan.f64 x))) (neg.f64 eps)) (.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (tan.f64 x))) (neg.f64 eps))) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))) (-.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (tan.f64 x))) (neg.f64 eps)) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (tan.f64 x))) (neg.f64 eps)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64))) (fma.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (tan.f64 x))) (neg.f64 eps)) (.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (tan.f64 x))) (neg.f64 eps)) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) (.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (tan.f64 x))) (neg.f64 eps)) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))))))
(fma.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (tan.f64 x))) (neg.f64 eps) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (neg.f64 eps) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
(-.f64 (fma.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (tan.f64 x))) (neg.f64 eps) #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(+.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (tan.f64 x))) (neg.f64 eps)) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
(+.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (tan.f64 x))) (neg.f64 eps)))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (tan.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (tan.f64 x)))
(/.f64 (-.f64 (.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))) (-.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (neg.f64 (tan.f64 x))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (-.f64 (.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x))) (.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (neg.f64 (tan.f64 x))))))
(neg.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (tan.f64 x)))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64) (neg.f64 (tan.f64 x)))
(fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (neg.f64 (tan.f64 x)))
(fma.f64 #s(literal -1 binary64) (tan.f64 x) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))))
(fma.f64 (tan.f64 x) #s(literal -1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))))
(+.f64 (neg.f64 (tan.f64 x)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))))
(+.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (neg.f64 (tan.f64 x)))
(*.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))
(pow.f64 (neg.f64 (tan.f64 x)) #s(literal 3 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))
(neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)))
(*.f64 (pow.f64 (tan.f64 x) #s(literal 3/2 binary64)) (pow.f64 (tan.f64 x) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (tan.f64 x))
(*.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(pow.f64 (tan.f64 x) #s(literal 3 binary64))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (tan.f64 x)) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 (tan.f64 x)) #s(literal 3 binary64))))
(/.f64 (sin.f64 (+.f64 x (PI.f64))) (cos.f64 (+.f64 x (PI.f64))))
(/.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)))
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#s(approx (tan x) (.f64 (fma.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)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (neg (tan x)) (.f64 (-.f64 (.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) x))
#s(approx (neg (tan x)) (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x))
#s(approx (neg (tan x)) (.f64 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -17/315 binary64) (.f64 x x)) #s(literal 2/15 binary64)) (.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x))
#s(approx (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) (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 (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (neg.f64 (*.f64 x x)))
#s(approx (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (.f64 x x)) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (.f64 (-.f64 (.f64 (-.f64 (.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(approx (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (.f64 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -62/315 binary64) (.f64 x x)) #s(literal 17/45 binary64)) (.f64 x x)) #s(literal 2/3 binary64)) (.f64 x x)) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) (*.f64 x x))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) (.f64 (fma.f64 (.f64 x x) #s(literal 2/3 binary64) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/315 binary64) (.f64 x x) #s(literal 2/45 binary64)) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (* (cos (+ x x)) 1/2) #s(literal 1/2 binary64))
#s(approx (* (cos (+ x x)) 1/2) (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (* (cos (+ x x)) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* (cos (+ x x)) 1/2) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -2/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (cos (+ x x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (+ x x)) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (+ x x)) (fma.f64 (-.f64 (.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 (+ (* (cos (+ x x)) 1/2) 1/2) (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -2/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 x (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps))))) (tan.f64 eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (-.f64 (/.f64 (.f64 (.f64 x (sin.f64 eps)) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))))))) (cos.f64 eps)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps))))))) x (tan.f64 eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (-.f64 (.f64 (-.f64 (neg.f64 (.f64 (+.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps))))))) #s(literal -1/2 binary64) (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps))))) #s(literal 1/6 binary64))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps))))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))))))) #s(literal 1/2 binary64)) x)) (neg.f64 (.f64 (sin.f64 eps) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps))))))) (cos.f64 eps))))) x) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))))) x (tan.f64 eps)))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (*.f64 x x) eps eps))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 2/3 binary64) eps) (*.f64 x x) eps))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 17/45 binary64) (.f64 #s(literal 2/3 binary64) eps)) (.f64 x x) eps) (*.f64 x x) eps))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) (.f64 (fma.f64 (.f64 x x) #s(literal 2/3 binary64) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) (fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)))
#s(approx (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) (.f64 (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) x))
#s(approx (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) #s(literal 2/3 binary64))
#s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)))
#s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) (fma.f64 (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)))
#s(approx (+ (* (* x x) 62/315) 17/45) #s(literal 17/45 binary64))
#s(approx (+ (* (* x x) 62/315) 17/45) (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)))
#s(approx (* (- 1 (neg (pow (tan (+ (* (PI) 2) x)) 2))) eps) (.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))))) #s(literal 1 binary64)) eps))
#s(approx (* (- 1 (neg (pow (tan (+ (* (PI) 2) x)) 2))) eps) (fma.f64 (.f64 eps (/.f64 (.f64 (.f64 x (sin.f64 (+.f64 (PI.f64) (PI.f64)))) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))))))) (cos.f64 (+.f64 (PI.f64) (PI.f64))))) #s(literal 2 binary64) (.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))))) #s(literal 1 binary64)) eps)))
#s(approx (* (- 1 (neg (pow (tan (+ (* (PI) 2) x)) 2))) eps) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))))) #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))))))) #s(literal 2 binary64))) x) eps (.f64 (/.f64 (.f64 (.f64 eps (sin.f64 (+.f64 (PI.f64) (PI.f64)))) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))))))) (cos.f64 (+.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64))) x (.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))))) #s(literal 1 binary64)) eps)))
#s(approx (* (- 1 (neg (pow (tan (+ (* (PI) 2) x)) 2))) eps) (fma.f64 (fma.f64 (.f64 eps (fma.f64 (fma.f64 (.f64 (sin.f64 (+.f64 (PI.f64) (PI.f64))) (/.f64 (+.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))))))) #s(literal -1/2 binary64) (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))))) #s(literal 1/6 binary64))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))))))) #s(literal 1/6 binary64)) (cos.f64 (+.f64 (PI.f64) (PI.f64))))) #s(literal -2 binary64) (.f64 (/.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))))))) #s(literal 2 binary64)) (sin.f64 (+.f64 (PI.f64) (PI.f64)))) (cos.f64 (+.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64))) x (fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))))) #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))))))) #s(literal 2 binary64))))) x (.f64 (/.f64 (.f64 (.f64 eps (sin.f64 (+.f64 (PI.f64) (PI.f64)))) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))))))) (cos.f64 (+.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64))) x (.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))))) #s(literal 1 binary64)) eps)))
#s(approx (- 1 (neg (pow (tan (+ (* (PI) 2) x)) 2))) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))))) #s(literal 1 binary64)))
#s(approx (- 1 (neg (pow (tan (+ (* (PI) 2) x)) 2))) (+.f64 (fma.f64 (/.f64 (.f64 (.f64 x (sin.f64 (+.f64 (PI.f64) (PI.f64)))) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))))))) (cos.f64 (+.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))))) #s(literal 1 binary64)))
#s(approx (- 1 (neg (pow (tan (+ (* (PI) 2) x)) 2))) (+.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 (+.f64 (PI.f64) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))))))) (cos.f64 (+.f64 (PI.f64) (PI.f64))))) #s(literal 2 binary64) (.f64 (fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))))) #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))))))) #s(literal 2 binary64))) x)) x (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))))) #s(literal 1 binary64)))
#s(approx (- 1 (neg (pow (tan (+ (* (PI) 2) x)) 2))) (+.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))))) #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 (sin.f64 (+.f64 (PI.f64) (PI.f64))) (/.f64 (+.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))))))) #s(literal -1/2 binary64) (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))))) #s(literal 1/6 binary64))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))))))) #s(literal 1/6 binary64)) (cos.f64 (+.f64 (PI.f64) (PI.f64))))) #s(literal -2 binary64) (.f64 (/.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))))))) #s(literal 2 binary64)) (sin.f64 (+.f64 (PI.f64) (PI.f64)))) (cos.f64 (+.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64))) x (pow.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))))))) #s(literal 2 binary64)))) x (.f64 (.f64 (sin.f64 (+.f64 (PI.f64) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))))))) (cos.f64 (+.f64 (PI.f64) (PI.f64))))) #s(literal 2 binary64))) x (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))))) #s(literal 1 binary64)))
#s(approx (neg (pow (tan (+ (* (PI) 2) x)) 2)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))))))
#s(approx (neg (pow (tan (+ (* (PI) 2) x)) 2)) (-.f64 (.f64 (/.f64 (.f64 (.f64 x (sin.f64 (+.f64 (PI.f64) (PI.f64)))) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))))))) (cos.f64 (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))))))
#s(approx (neg (pow (tan (+ (* (PI) 2) x)) 2)) (-.f64 (.f64 (fma.f64 (neg.f64 x) (fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))))) #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))))))) #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (+.f64 (PI.f64) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))))))) (cos.f64 (+.f64 (PI.f64) (PI.f64))))))) x) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))))))
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#s(approx (pow (tan (+ (* (PI) 2) x)) 2) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))))))
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#s(approx (pow (tan (+ (* (PI) 2) x)) 2) (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))))) #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 (sin.f64 (+.f64 (PI.f64) (PI.f64))) (/.f64 (+.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))))))) #s(literal -1/2 binary64) (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))))) #s(literal 1/6 binary64))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))))))) #s(literal 1/6 binary64)) (cos.f64 (+.f64 (PI.f64) (PI.f64))))) #s(literal -2 binary64) (.f64 (/.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))))))) #s(literal 2 binary64)) (sin.f64 (+.f64 (PI.f64) (PI.f64)))) (cos.f64 (+.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64))) x (pow.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))))))) #s(literal 2 binary64)))) x (.f64 (.f64 (sin.f64 (+.f64 (PI.f64) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))))))) (cos.f64 (+.f64 (PI.f64) (PI.f64))))) #s(literal 2 binary64))) x (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))))))))
#s(approx (tan (+ (* (PI) 2) x)) (tan.f64 (+.f64 (PI.f64) (PI.f64))))
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#s(approx (+ (* (PI) 2) x) (+.f64 (PI.f64) (PI.f64)))
#s(approx (+ (* (PI) 2) x) (fma.f64 #s(literal 2 binary64) (PI.f64) x))
#s(approx (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps #s(literal 4/3 binary64)) x) eps eps) x (*.f64 eps eps)) x eps))
#s(approx (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal 4/3 binary64)) x #s(literal 1 binary64)) x eps) x #s(literal 1 binary64)))
#s(approx (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (fma.f64 (fma.f64 (.f64 eps #s(literal 4/3 binary64)) (.f64 x x) eps) x #s(literal 1 binary64)))
#s(approx (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (fma.f64 (fma.f64 (-.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal 61/120 binary64) eps) (fma.f64 #s(literal 1/24 binary64) eps (.f64 (.f64 eps #s(literal 4/3 binary64)) #s(literal -1/2 binary64)))) (.f64 #s(literal 5/6 binary64) eps)) (.f64 #s(literal -1/2 binary64) eps)) (*.f64 x x) eps) x #s(literal 1 binary64)))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (.f64 (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/15 binary64) #s(literal 4/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 248/315 binary64) (.f64 x x) #s(literal 17/15 binary64)) (.f64 x x) #s(literal 4/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* 17/15 (* x x)) 4/3) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 4/3 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 17/15 (* x x)) 4/3) (* x x)) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/15 binary64) #s(literal 4/3 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* 17/15 (* x x)) 4/3) #s(literal 4/3 binary64))
#s(approx (+ (* 17/15 (* x x)) 4/3) (fma.f64 (*.f64 x x) #s(literal 17/15 binary64) #s(literal 4/3 binary64)))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
#s(approx (* (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) eps) (.f64 (-.f64 (+.f64 (fma.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (tan.f64 x)) eps (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (.f64 (/.f64 (cos.f64 (+.f64 x x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) eps))
#s(approx (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) (-.f64 (+.f64 (fma.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (tan.f64 x)) eps (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))))
#s(approx (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (tan.f64 x))))
#s(approx (neg (pow (tan x) 3)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))))
#s(approx (pow (tan x) 3) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))
#s(approx (tan x) (tan.f64 x))
#s(approx (neg (tan x)) (neg.f64 (tan.f64 x)))
#s(approx (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (-.f64 (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (* (cos (+ x x)) 1/2) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (cos (+ x x)) (cos.f64 (+.f64 x x)))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) eps))
#s(approx (- 1 (neg (pow (tan x) 2))) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* x x) 1) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (neg (pow (tan x) 2)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (pow (tan x) 2) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) x) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 62/315 binary64)))
#s(approx (* (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) x) (.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 17/45 binary64) (.f64 x x)) #s(literal 62/315 binary64))))
#s(approx (* (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) x) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 17/45 binary64) (*.f64 x x))) #s(literal 62/315 binary64)) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) x) (.f64 (+.f64 (+.f64 #s(literal 62/315 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 17/45 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 62/315 binary64)))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) (.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 17/45 binary64) (.f64 x x)) #s(literal 62/315 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) (.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 17/45 binary64) (*.f64 x x))) #s(literal 62/315 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) (.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 62/315 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 17/45 binary64) (*.f64 x x))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 62/315 binary64)))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (+.f64 (/.f64 #s(literal 17/45 binary64) (*.f64 x x)) #s(literal 62/315 binary64))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 17/45 binary64) (.f64 x x))) #s(literal 62/315 binary64))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) (.f64 (+.f64 (+.f64 #s(literal 62/315 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 17/45 binary64) (.f64 x x)))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))))
#s(approx (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 62/315 binary64)))
#s(approx (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 17/45 binary64) (.f64 x x)) #s(literal 62/315 binary64))))
#s(approx (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 17/45 binary64) (*.f64 x x))) #s(literal 62/315 binary64))))
#s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 62/315 binary64)))
#s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (/.f64 #s(literal 17/45 binary64) (*.f64 x x)) #s(literal 62/315 binary64))))
#s(approx (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 17/45 binary64) (.f64 x x))) #s(literal 62/315 binary64)) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (+ (* (* x x) 62/315) 17/45) (.f64 (.f64 x x) #s(literal 62/315 binary64)))
#s(approx (+ (* (* x x) 62/315) 17/45) (.f64 (+.f64 (/.f64 #s(literal 17/45 binary64) (.f64 x x)) #s(literal 62/315 binary64)) (*.f64 x x)))
#s(approx (* (- 1 (neg (pow (tan (+ (* (PI) 2) x)) 2))) eps) (.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) x)))))) #s(literal 1 binary64)) eps))
#s(approx (- 1 (neg (pow (tan (+ (* (PI) 2) x)) 2))) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) x)))))) #s(literal 1 binary64)))
#s(approx (neg (pow (tan (+ (* (PI) 2) x)) 2)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) x))))))))
#s(approx (pow (tan (+ (* (PI) 2) x)) 2) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) x)))))))
#s(approx (tan (+ (* (PI) 2) x)) (tan.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x)))
#s(approx (+ (* (PI) 2) x) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 2 binary64) #s(literal 1 binary64)) x))
#s(approx (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) (.f64 (+.f64 (fma.f64 eps (.f64 (sin.f64 x) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (cos.f64 x))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) eps))
#s(approx (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) (+.f64 (fma.f64 eps (.f64 (sin.f64 x) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (cos.f64 x))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (fma.f64 eps (.f64 (sin.f64 x) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (cos.f64 x))) #s(literal 1 binary64)))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (.f64 (sin.f64 x) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (cos.f64 x))))
#s(approx (* (+ (* (+ (* 17/15 (* x x)) 4/3) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 17/15 binary64)))
#s(approx (* (+ (* (+ (* 17/15 (* x x)) 4/3) (* x x)) 1) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 4/3 binary64) (.f64 x x)) #s(literal 17/15 binary64))))
#s(approx (* (+ (* (+ (* 17/15 (* x x)) 4/3) (* x x)) 1) x) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 4/3 binary64) (*.f64 x x))) #s(literal 17/15 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (+ (* 17/15 (* x x)) 4/3) (* x x)) 1) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 17/15 binary64)))
#s(approx (+ (* (+ (* 17/15 (* x x)) 4/3) (* x x)) 1) (.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (.f64 x x)) #s(literal 17/15 binary64)) (.f64 (.f64 x x) (*.f64 x x))))
#s(approx (+ (* (+ (* 17/15 (* x x)) 4/3) (* x x)) 1) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 4/3 binary64) (.f64 x x))) #s(literal 17/15 binary64)) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (+ (* 17/15 (* x x)) 4/3) (.f64 (.f64 x x) #s(literal 17/15 binary64)))
#s(approx (+ (* 17/15 (* x x)) 4/3) (.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (.f64 x x)) #s(literal 17/15 binary64)) (*.f64 x x)))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) eps) (neg.f64 x))) (tan.f64 x)))
#s(approx (* (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) eps) (.f64 (-.f64 (+.f64 (fma.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (tan.f64 x)) eps (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (.f64 (/.f64 (cos.f64 (+.f64 x x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) eps))
#s(approx (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) (-.f64 (+.f64 (fma.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (tan.f64 x)) eps (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))))
#s(approx (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))) (-.f64 (*.f64 (/.f64 (cos.f64 (+.f64 x x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (* (cos (+ x x)) 1/2) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (cos (+ x x)) (cos.f64 (+.f64 x x)))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (-.f64 eps (neg.f64 x))) (tan.f64 x)))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 17/45 binary64)) (*.f64 x x))) #s(literal 62/315 binary64)) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) x) 1) x) (neg.f64 (.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 2/3 binary64)) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 62/315 binary64)) (/.f64 #s(literal 17/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (+ (* (+ (* (* x x) 62/315) 17/45) (* x x)) 2/3) x) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 17/45 binary64)) (*.f64 x x))) #s(literal 62/315 binary64)) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (- 1 (neg (pow (tan (+ (* (PI) 2) x)) 2))) eps) (.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (-.f64 (+.f64 (PI.f64) (PI.f64)) (neg.f64 x)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (+.f64 (PI.f64) (PI.f64)) (neg.f64 x))))))) #s(literal 1 binary64)) eps))
#s(approx (- 1 (neg (pow (tan (+ (* (PI) 2) x)) 2))) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (-.f64 (+.f64 (PI.f64) (PI.f64)) (neg.f64 x)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (-.f64 (+.f64 (PI.f64) (PI.f64)) (neg.f64 x))))))) #s(literal 1 binary64)))
#s(approx (neg (pow (tan (+ (* (PI) 2) x)) 2)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (-.f64 (+.f64 (PI.f64) (PI.f64)) (neg.f64 x)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (-.f64 (+.f64 (PI.f64) (PI.f64)) (neg.f64 x)))))))))
#s(approx (pow (tan (+ (* (PI) 2) x)) 2) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (-.f64 (+.f64 (PI.f64) (PI.f64)) (neg.f64 x)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (-.f64 (+.f64 (PI.f64) (PI.f64)) (neg.f64 x))))))))
#s(approx (tan (+ (* (PI) 2) x)) (tan.f64 (-.f64 (+.f64 (PI.f64) (PI.f64)) (neg.f64 x))))
#s(approx (+ (* (PI) 2) x) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (PI.f64) x) #s(literal -2 binary64)) #s(literal 1 binary64))))
#s(approx (* (+ (* (+ (* 17/15 (* x x)) 4/3) (* x x)) 1) x) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 4/3 binary64)) (*.f64 x x))) #s(literal 17/15 binary64)) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x)) (tan.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (fma.f64 eps (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) x)))))))) (tan.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x))) (tan.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (-.f64 (fma.f64 eps (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) x)))))))) (sin.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x))) (cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x))) #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) x)))))))) eps (-.f64 (tan.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x)) (tan.f64 x))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (-.f64 (fma.f64 (-.f64 (neg.f64 (.f64 (+.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) x)))))))) #s(literal -1/2 binary64) (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) x)))))) #s(literal 1/6 binary64))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) x))))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) x)))))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) x))))))))) #s(literal 1/6 binary64)) eps)) (neg.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) x)))))))) (sin.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x))) (cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x))))) eps #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (PI.f64) x)))))))) eps (-.f64 (tan.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x)) (tan.f64 x))))
#s(approx (* (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) eps) (.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) eps))
#s(approx (neg eps) (neg.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps (.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (cos.f64 x))) #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 (-.f64 (neg.f64 (.f64 (+.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -1/2 binary64) (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/6 binary64))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 1/6 binary64)) eps)) (neg.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (cos.f64 x))))) eps #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 (-.f64 (.f64 (-.f64 (-.f64 (.f64 (neg.f64 eps) (fma.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (cos.f64 x))) #s(literal -1/2 binary64) (fma.f64 (sin.f64 x) (/.f64 (+.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -1/2 binary64) (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/6 binary64))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 1/6 binary64)) (cos.f64 x)) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 x))) (cos.f64 x))))) #s(literal 1/6 binary64)) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -1/2 binary64) (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/6 binary64))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))) eps) (neg.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (cos.f64 x))))) eps #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) eps))
#s(approx (* (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) eps) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (tan.f64 x)) (.f64 eps eps)))
#s(approx (* (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) eps) (.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (tan.f64 x))) (/.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) eps))) (/.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) eps))) (*.f64 eps eps)))
#s(approx (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (tan.f64 x)) eps))
#s(approx (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) (.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (tan.f64 x))) (/.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) eps))) (/.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) (/.f64 (.f64 (.f64 (.f64 eps eps) (sin.f64 x)) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (cos.f64 x)))
#s(approx (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) (.f64 (+.f64 (fma.f64 (sin.f64 x) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (cos.f64 x)) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) eps))) (*.f64 eps eps)))
#s(approx (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) (.f64 eps (.f64 (sin.f64 x) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (cos.f64 x)))))
#s(approx (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) (.f64 (+.f64 (fma.f64 (sin.f64 x) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (cos.f64 x)) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (.f64 (fma.f64 (sin.f64 x) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (cos.f64 x)) (/.f64 #s(literal 1 binary64) eps)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x) (neg.f64 eps))) (tan.f64 x)))
#s(approx (+ (* (+ (neg (pow (tan x) 3)) (neg (tan x))) (neg eps)) (- 1 (neg (/ (- 1/2 (* (cos (+ x x)) 1/2)) (+ (* (cos (+ x x)) 1/2) 1/2))))) (.f64 (neg.f64 eps) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) eps)) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (tan.f64 x))))))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (-.f64 x (neg.f64 eps))) (tan.f64 x)))
#s(approx (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) (.f64 (neg.f64 eps) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) eps)) (neg.f64 (.f64 (sin.f64 x) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (cos.f64 x)))))))
#s(approx (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (.f64 (neg.f64 eps) (-.f64 (neg.f64 (.f64 (sin.f64 x) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (cos.f64 x)))) (/.f64 #s(literal 1 binary64) eps))))

eval79.0ms (1.3%)

Memory: -14.4MiB live, 75.5MiB allocated; 9ms collecting garbage
Compiler: Compiled 10 374 to 3 604 computations (65.3% saved)

prune34.0ms (0.6%)

Memory

-12.7MiB live, 33.4MiB allocated; 3ms collecting garbage

Pruning

33 alts after pruning (23 fresh and 10 done)

	Pruned	Kept	Total
New	447	5	452
Fresh	0	18	18
Picked	2	3	5
Done	1	7	8
Total	450	33	483

Accuracy

100.0%

Counts

483 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.5%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
✓	61.5%	(-.f64 (+.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
✓	4.0%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (PI.f64))) (tan.f64 x))
	3.9%	(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (tan.f64 x))
✓	61.3%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	60.1%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
	99.3%	#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (.f64 (fma.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (tan.f64 x))) (neg.f64 eps) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) eps))
	99.3%	#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (.f64 (fma.f64 eps (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
	99.0%	#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (.f64 (-.f64 #s(approx (+ ( (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (.f64 (neg.f64 eps) (-.f64 (-.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) eps)) (tan.f64 x)))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) eps))
	98.1%	#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (.f64 #s(approx (- (+ ( (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (fma.f64 (+.f64 x eps) x #s(literal 1 binary64))) eps))
	98.1%	#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (.f64 #s(approx (- (+ ( (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (fma.f64 x eps #s(literal 1 binary64))) eps))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 #s(approx (/ ( (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/15 binary64) #s(literal 4/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) eps (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 #s(approx (/ ( (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) x) eps (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps (/.f64 #s(approx ( (- 1 (neg (pow (tan x) 2))) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 277/1008 binary64) (.f64 x x) #s(literal 61/120 binary64)) (.f64 x x) #s(literal 5/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps (/.f64 #s(approx ( (- 1 (neg (pow (tan x) 2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal 61/120 binary64) (.f64 x x) #s(literal 5/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps #s(approx (/ ( (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 248/315 binary64) (.f64 x x) #s(literal 17/15 binary64)) (.f64 x x) #s(literal 4/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps #s(approx (/ ( (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (.f64 (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
✓	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps #s(approx (/ ( (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) x) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
✓	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) x)) #s(literal 2 binary64)))) eps))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 x (PI.f64)))) #s(literal 2 binary64)))) eps))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (/.f64 (-.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64))) (*.f64 x x)) (-.f64 (+.f64 (PI.f64) (PI.f64)) x))) #s(literal 2 binary64)))) eps))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) #s(literal 2 binary64)))) eps))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (PI.f64) x)) #s(literal 2 binary64)))) eps))
✓	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
	98.3%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 #s(approx (tan x) (.f64 (fma.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)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)))) eps))
	98.3%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (tan x) 2) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)))) eps))
✓	98.3%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (tan x) 2) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)))) eps))
	98.3%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
✓	98.1%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 x x #s(literal 1 binary64))) eps))
	3.1%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) eps)))
✓	98.1%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
✓	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) eps))
	98.2%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 2/3 binary64) eps) (*.f64 x x) eps)))

Compiler

Compiled 1 434 to 1 031 computations (28.1% saved)

regimes33.0ms (0.5%)

Memory

37.9MiB live, 37.9MiB allocated; 0ms collecting garbage

Counts

44 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 x x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) (fma.f64 eps x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (.f64 #s(approx (- (+ ( (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (fma.f64 x eps #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) (fma.f64 (+.f64 eps x) x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (.f64 #s(approx (- (+ ( (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (fma.f64 (+.f64 x eps) x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 2/3 binary64) eps) (*.f64 x x) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (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 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #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)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (tan x) 2) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (tan x) 2) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (tan x) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 #s(approx (tan x) (.f64 (fma.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)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (PI.f64) x)) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) x)) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps #s(approx (/ ( (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) x) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 #s(approx (/ ( (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) x) eps (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 x (PI.f64)))) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps #s(approx (/ ( (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 x x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps #s(approx (/ ( (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (.f64 (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (/.f64 (-.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64))) (*.f64 x x)) (-.f64 (+.f64 (PI.f64) (PI.f64)) x))) #s(literal 2 binary64)))) eps))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (PI.f64))) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 #s(approx (/ ( (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/15 binary64) #s(literal 4/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) eps (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps #s(approx (/ ( (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (.f64 (fma.f64 (fma.f64 #s(literal 17/15 binary64) (.f64 x x) #s(literal 4/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps #s(approx (/ ( (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 248/315 binary64) (.f64 x x) #s(literal 17/15 binary64)) (.f64 x x) #s(literal 4/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps (/.f64 #s(approx ( (- 1 (neg (pow (tan x) 2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal 61/120 binary64) (.f64 x x) #s(literal 5/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps (/.f64 #s(approx ( (- 1 (neg (pow (tan x) 2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal 61/120 binary64) (.f64 x x) #s(literal 5/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps (/.f64 #s(approx ( (- 1 (neg (pow (tan x) 2))) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 277/1008 binary64) (.f64 x x) #s(literal 61/120 binary64)) (.f64 x x) #s(literal 5/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (.f64 (fma.f64 eps (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (.f64 (fma.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (tan.f64 x))) (neg.f64 eps) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) eps))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (.f64 (fma.f64 (+.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (neg.f64 (tan.f64 x))) (neg.f64 eps) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (.f64 (-.f64 (fma.f64 (neg.f64 eps) (+.f64 (pow.f64 (neg.f64 (tan.f64 x)) #s(literal 3 binary64)) (neg.f64 (tan.f64 x))) #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) eps))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (.f64 (-.f64 #s(approx (+ ( (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (.f64 (neg.f64 eps) (-.f64 (-.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) eps)) (tan.f64 x)))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(approx (+ ( eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (.f64 (fma.f64 (sin.f64 x) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1 binary64)) (cos.f64 x)) (/.f64 #s(literal 1 binary64) eps)) eps)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(-.f64 (+.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.3%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
99.3%	1	`x`
99.3%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes35.0ms (0.6%)

Memory

-17.1MiB live, 36.1MiB allocated; 8ms collecting garbage

Counts

39 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 x x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) (fma.f64 eps x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (.f64 #s(approx (- (+ ( (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (fma.f64 x eps #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) (fma.f64 (+.f64 eps x) x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (.f64 #s(approx (- (+ ( (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (fma.f64 (+.f64 x eps) x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 2/3 binary64) eps) (*.f64 x x) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (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 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #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)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (tan x) 2) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (tan x) 2) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (tan x) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 #s(approx (tan x) (.f64 (fma.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)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (PI.f64) x)) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) x)) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps #s(approx (/ ( (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) x) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 #s(approx (/ ( (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) x) eps (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 x (PI.f64)))) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps #s(approx (/ ( (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 x x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps #s(approx (/ ( (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (.f64 (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (/.f64 (-.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64))) (*.f64 x x)) (-.f64 (+.f64 (PI.f64) (PI.f64)) x))) #s(literal 2 binary64)))) eps))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (PI.f64))) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 #s(approx (/ ( (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/15 binary64) #s(literal 4/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) eps (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps #s(approx (/ ( (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (.f64 (fma.f64 (fma.f64 #s(literal 17/15 binary64) (.f64 x x) #s(literal 4/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps #s(approx (/ ( (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 248/315 binary64) (.f64 x x) #s(literal 17/15 binary64)) (.f64 x x) #s(literal 4/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps (/.f64 #s(approx ( (- 1 (neg (pow (tan x) 2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal 61/120 binary64) (.f64 x x) #s(literal 5/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps (/.f64 #s(approx ( (- 1 (neg (pow (tan x) 2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal 61/120 binary64) (.f64 x x) #s(literal 5/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps (/.f64 #s(approx ( (- 1 (neg (pow (tan x) 2))) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 277/1008 binary64) (.f64 x x) #s(literal 61/120 binary64)) (.f64 x x) #s(literal 5/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (.f64 (fma.f64 eps (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (.f64 (fma.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (tan.f64 x))) (neg.f64 eps) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) eps))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (.f64 (fma.f64 (+.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (neg.f64 (tan.f64 x))) (neg.f64 eps) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))

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

Outputs

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

Calls

3 calls:

14.0ms	eps
9.0ms	x
9.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.3%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
99.3%	1	`x`
99.3%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes30.0ms (0.5%)

Memory

-2.1MiB live, 43.3MiB allocated; 3ms collecting garbage

Counts

36 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 x x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) (fma.f64 eps x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (.f64 #s(approx (- (+ ( (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (fma.f64 x eps #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) (fma.f64 (+.f64 eps x) x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (.f64 #s(approx (- (+ ( (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (fma.f64 (+.f64 x eps) x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 2/3 binary64) eps) (*.f64 x x) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (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 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #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)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (tan x) 2) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (tan x) 2) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (tan x) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 #s(approx (tan x) (.f64 (fma.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)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (PI.f64) x)) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) x)) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps #s(approx (/ ( (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) x) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 #s(approx (/ ( (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) x) eps (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 x (PI.f64)))) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps #s(approx (/ ( (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 x x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps #s(approx (/ ( (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (.f64 (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (/.f64 (-.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64))) (*.f64 x x)) (-.f64 (+.f64 (PI.f64) (PI.f64)) x))) #s(literal 2 binary64)))) eps))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (PI.f64))) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 #s(approx (/ ( (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/15 binary64) #s(literal 4/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) eps (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps #s(approx (/ ( (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (.f64 (fma.f64 (fma.f64 #s(literal 17/15 binary64) (.f64 x x) #s(literal 4/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps #s(approx (/ ( (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 248/315 binary64) (.f64 x x) #s(literal 17/15 binary64)) (.f64 x x) #s(literal 4/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps (/.f64 #s(approx ( (- 1 (neg (pow (tan x) 2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal 61/120 binary64) (.f64 x x) #s(literal 5/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps (/.f64 #s(approx ( (- 1 (neg (pow (tan x) 2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal 61/120 binary64) (.f64 x x) #s(literal 5/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps (/.f64 #s(approx ( (- 1 (neg (pow (tan x) 2))) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 277/1008 binary64) (.f64 x x) #s(literal 61/120 binary64)) (.f64 x x) #s(literal 5/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (.f64 (fma.f64 eps (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.3%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
99.3%	1	`x`
99.3%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes69.0ms (1.1%)

Memory

-20.3MiB live, 26.8MiB allocated; 2ms collecting garbage

Counts

35 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 x x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) (fma.f64 eps x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (.f64 #s(approx (- (+ ( (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (fma.f64 x eps #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) (fma.f64 (+.f64 eps x) x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (.f64 #s(approx (- (+ ( (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (fma.f64 (+.f64 x eps) x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 2/3 binary64) eps) (*.f64 x x) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (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 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #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)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (tan x) 2) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (tan x) 2) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (tan x) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 #s(approx (tan x) (.f64 (fma.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)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (PI.f64) x)) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) x)) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps #s(approx (/ ( (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) x) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 #s(approx (/ ( (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) x) eps (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 x (PI.f64)))) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps #s(approx (/ ( (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 x x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps #s(approx (/ ( (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (.f64 (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (/.f64 (-.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64))) (*.f64 x x)) (-.f64 (+.f64 (PI.f64) (PI.f64)) x))) #s(literal 2 binary64)))) eps))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (PI.f64))) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 #s(approx (/ ( (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/15 binary64) #s(literal 4/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) eps (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps #s(approx (/ ( (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (.f64 (fma.f64 (fma.f64 #s(literal 17/15 binary64) (.f64 x x) #s(literal 4/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps #s(approx (/ ( (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 248/315 binary64) (.f64 x x) #s(literal 17/15 binary64)) (.f64 x x) #s(literal 4/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps (/.f64 #s(approx ( (- 1 (neg (pow (tan x) 2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal 61/120 binary64) (.f64 x x) #s(literal 5/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps (/.f64 #s(approx ( (- 1 (neg (pow (tan x) 2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal 61/120 binary64) (.f64 x x) #s(literal 5/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps (/.f64 #s(approx ( (- 1 (neg (pow (tan x) 2))) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 277/1008 binary64) (.f64 x x) #s(literal 61/120 binary64)) (.f64 x x) #s(literal 5/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))

Outputs

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

Calls

3 calls:

51.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
8.0ms	eps
8.0ms	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)

regimes21.0ms (0.3%)

Memory

15.2MiB live, 15.2MiB allocated; 0ms collecting garbage

Counts

27 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 x x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) (fma.f64 eps x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (.f64 #s(approx (- (+ ( (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (fma.f64 x eps #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) (fma.f64 (+.f64 eps x) x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (.f64 #s(approx (- (+ ( (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (fma.f64 (+.f64 x eps) x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 2/3 binary64) eps) (*.f64 x x) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (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 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #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)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (tan x) 2) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (tan x) 2) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (tan x) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 #s(approx (tan x) (.f64 (fma.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)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (PI.f64) x)) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) x)) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps #s(approx (/ ( (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) x) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 #s(approx (/ ( (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) x) eps (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 x (PI.f64)))) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps #s(approx (/ ( (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 x x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps #s(approx (/ ( (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (.f64 (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (tan.f64 x))

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

Calls

3 calls:

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

regimes15.0ms (0.2%)

Memory

14.2MiB live, 14.2MiB allocated; 0ms collecting garbage

Counts

18 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 x x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) (fma.f64 eps x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (.f64 #s(approx (- (+ ( (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (fma.f64 x eps #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) (fma.f64 (+.f64 eps x) x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (.f64 #s(approx (- (+ ( (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (fma.f64 (+.f64 x eps) x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 2/3 binary64) eps) (*.f64 x x) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (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 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #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)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (tan x) 2) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (tan x) 2) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (tan x) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 #s(approx (tan x) (.f64 (fma.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)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (PI.f64) x)) #s(literal 2 binary64)))) eps))

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

Calls

3 calls:

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

regimes16.0ms (0.3%)

Memory

-28.1MiB live, 17.4MiB allocated; 3ms collecting garbage

Counts

16 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 x x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) (fma.f64 eps x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (.f64 #s(approx (- (+ ( (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (fma.f64 x eps #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) (fma.f64 (+.f64 eps x) x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (.f64 #s(approx (- (+ ( (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (fma.f64 (+.f64 x eps) x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 2/3 binary64) eps) (*.f64 x x) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (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 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #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)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (tan x) 2) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (tan x) 2) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (tan x) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 #s(approx (tan x) (.f64 (fma.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)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))

Outputs

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

Calls

3 calls:

7.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
4.0ms	eps
4.0ms	x

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)

regimes12.0ms (0.2%)

Memory

15.6MiB live, 15.6MiB allocated; 0ms collecting garbage

Counts

14 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 x x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) (fma.f64 eps x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (.f64 #s(approx (- (+ ( (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (fma.f64 x eps #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) (fma.f64 (+.f64 eps x) x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (.f64 #s(approx (- (+ ( (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (fma.f64 (+.f64 x eps) x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 2/3 binary64) eps) (*.f64 x x) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (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 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #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)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (tan x) 2) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (tan x) 2) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (tan x) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) eps)))

Outputs

#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (tan x) 2) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)))) eps))

Calls

3 calls:

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

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)

regimes10.0ms (0.2%)

Memory

16.9MiB live, 16.9MiB allocated; 0ms collecting garbage

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 x x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) (fma.f64 eps x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (.f64 #s(approx (- (+ ( (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (fma.f64 x eps #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) (fma.f64 (+.f64 eps x) x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (.f64 #s(approx (- (+ ( (neg eps) (+ (pow (neg (tan x)) 3) (neg (tan x)))) 1) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (fma.f64 (+.f64 x eps) x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 2/3 binary64) eps) (*.f64 x x) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (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 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #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)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (tan x) 2) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)))) eps))

Outputs

#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (tan x) 2) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 1 binary64)) x) x)))) eps))

Calls

3 calls:

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

regimes18.0ms (0.3%)

Memory

-44.9MiB live, 14.5MiB allocated; 15ms collecting garbage

Counts

10 → 1

Calls

Call 1

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

Outputs

#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (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:

12.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
3.0ms	x
3.0ms	eps

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes7.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.2%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.2%	1	`x`
98.2%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes7.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.1%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.1%	1	`x`
98.1%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes5.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.1%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.1%	1	`x`
98.1%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes3.0ms (0%)

Memory

4.5MiB live, 4.5MiB 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 (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) eps))

Outputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) 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
98.0%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.0%	1	`x`
98.0%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

derivations362.0ms (5.9%)

Memory

-6.3MiB live, 224.6MiB allocated; 40ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 236 to 146 computations (38.1% saved)

preprocess123.0ms (2%)

Memory: -0.3MiB live, 186.7MiB allocated; 22ms collecting garbage
Compiler: Compiled 270 to 176 computations (34.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze36.0ms (0.6%)

sample4.1s (66.1%)

preprocess29.0ms (0.5%)

series11.0ms (0.2%)

rewrite146.0ms (2.4%)

eval9.0ms (0.1%)

prune6.0ms (0.1%)

series51.0ms (0.8%)

rewrite190.0ms (3.1%)

eval46.0ms (0.7%)

prune24.0ms (0.4%)

series51.0ms (0.8%)

rewrite214.0ms (3.5%)

eval59.0ms (1%)

prune25.0ms (0.4%)

series72.0ms (1.2%)

rewrite251.0ms (4.1%)

eval79.0ms (1.3%)

prune34.0ms (0.6%)

regimes33.0ms (0.5%)

regimes35.0ms (0.6%)

regimes30.0ms (0.5%)

regimes69.0ms (1.1%)

regimes21.0ms (0.3%)

regimes15.0ms (0.2%)

regimes16.0ms (0.3%)

regimes12.0ms (0.2%)

regimes10.0ms (0.2%)

regimes18.0ms (0.3%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

derivations362.0ms (5.9%)

preprocess123.0ms (2%)

end0.0ms (0%)

Profiling