Metrics for 2tan (problem 3.3.2)

start0.0ms (0%)

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

analyze57.0ms (0.9%)

Memory

-4.8MiB live, 39.7MiB allocated; 13ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample4.3s (67.6%)

Memory

-27.9MiB live, 3 479.2MiB allocated; 1.8s collecting garbage

Samples

2.2s	25 900×	0	invalid
779.0ms	5 545×	1	valid
156.0ms	2 711×	0	valid

Precisions

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

ival-fabs: 689.0ms (33.5% of total)

ival-tan: 552.0ms (26.8% of total)

ival-mult!: 210.0ms (10.2% of total)

ival-<: 168.0ms (8.2% of total)

adjust: 150.0ms (7.3% of total)

ival-add!: 127.0ms (6.2% of total)

ival-sub!: 89.0ms (4.3% of total)

ival-and: 61.0ms (3% of total)

ival-assert: 13.0ms (0.6% of total)

Bogosity

preprocess29.0ms (0.5%)

Memory

13.9MiB live, 13.9MiB 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
▶	61.9%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Compiler

Compiled 12 to 12 computations (0% saved)

series12.0ms (0.2%)

Memory

5.7MiB live, 5.7MiB allocated; 0ms collecting garbage

Counts

6 → 36

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite177.0ms (2.8%)

Memory

3.4MiB live, 104.2MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	201	1262
0	206	1117
1	1271	904
0	8322	874

Stop Event

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

Counts

42 → 87

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (.f64 (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)) (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) 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) 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)) (tan.f64 x))
#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 eps eps)
#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: 8.2MiB live, 8.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 101 to 414 computations (62.4% saved)

prune7.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	75	8	83
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	75	9	84

Accuracy

100.0%

Counts

84 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.2%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
	7.0%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x (PI.f64))))
✓	61.9%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶	61.2%	(-.f64 (tan.f64 (+.f64 x eps)) #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)))
	61.1%	(-.f64 (tan.f64 (+.f64 x eps)) #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)))
	61.1%	(-.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)))
▶	99.5%	#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))
▶	99.3%	#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))
▶	98.4%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))

Compiler

Compiled 228 to 210 computations (7.9% saved)

series73.0ms (1.1%)

Memory

1.9MiB live, 48.4MiB allocated; 2ms collecting garbage

Counts

37 → 179

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 x eps)) #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)))
(tan.f64 (+.f64 x eps))
(+.f64 x eps)
#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))
(.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)
(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))
(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))
(fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))
#s(literal 17/315 binary64)
(*.f64 x x)
#s(literal 2/15 binary64)
#s(literal 1/3 binary64)
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(/.f64 (+.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 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))
(*.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))
#s(approx (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) #s(hole binary64 (+ 1 (* eps x))))
#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))
#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))
#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))
#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 x #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 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 (tan (+ x eps)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/3 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (+ 1/3 (* 2/15 (pow x 2)))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))
#s(approx (+ (* 17/315 (* x x)) 2/15) #s(hole binary64 2/15))
#s(approx (+ (* 17/315 (* x x)) 2/15) #s(hole binary64 (+ 2/15 (* 17/315 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (- (/ (+ (tan x) (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) (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) (tan eps)) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (/ (+ (tan x) (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) (tan eps)) (- 1 (* (tan x) (tan 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) (tan eps)) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* x (- 1/3 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (* -1/3 (/ (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) (tan eps)) #s(hole binary64 (/ (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 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps)))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (/ (sin eps) (cos eps)))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 1))
#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 (+ 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 (+ x eps)) #s(hole binary64 (/ (sin (+ eps x)) (cos (+ eps x)))))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* 17/315 (pow x 7))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* 17/315 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (* 17/315 (pow x 4))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (* (pow x 4) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (* (pow x 4) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))))
#s(approx (+ (* 17/315 (* x x)) 2/15) #s(hole binary64 (* 17/315 (pow x 2))))
#s(approx (+ (* 17/315 (* x x)) 2/15) #s(hole binary64 (* (pow x 2) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))
#s(approx (- (/ (+ (tan x) (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) (tan eps)) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (sin x) (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 (+ 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 (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 2/15 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 17/315)))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))))
#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 (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (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 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx eps #s(hole binary64 eps))
#s(approx (tan eps) #s(hole binary64 eps))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (/ (+ (tan x) (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) (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) (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) (tan eps)) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (/ (+ (tan x) (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) (tan eps)) (- 1 (* (tan x) (tan 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) (tan eps)) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (+ (* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (* -1/3 (/ (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 (+ (tan x) (tan eps)) #s(hole binary64 (/ (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 (* 1/3 (pow eps 2)))) (/ (sin x) (cos x)))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 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 (* (- (+ (* 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 (* (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) #s(hole binary64 (* eps (+ (/ 1 eps) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))))
#s(approx (tan eps) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (- (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 (+ 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
30.0ms	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 (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x) (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (+ (* 17/315 (* x x)) 2/15) 17/315 (* x x) 2/15 1/3 (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps))) (* (tan x) (tan eps)))
11.0ms	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 (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x) (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (+ (* 17/315 (* x x)) 2/15) 17/315 (* x x) 2/15 1/3 (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps))) (* (tan x) (tan eps)))
8.0ms	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 (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x) (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (+ (* 17/315 (* x x)) 2/15) 17/315 (* x x) 2/15 1/3 (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps))) (* (tan x) (tan eps)))
6.0ms	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 (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x) (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (+ (* 17/315 (* x x)) 2/15) 17/315 (* x x) 2/15 1/3 (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps))) (* (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 (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x) (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (+ (* 17/315 (* x x)) 2/15) 17/315 (* x x) 2/15 1/3 (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps))) (* (tan x) (tan eps)))

rewrite200.0ms (3.2%)

Memory

-1.0MiB live, 327.3MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	818	5911
0	869	5083
1	5030	5077
0	8046	4911

Stop Event

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

Counts

216 → 367

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 x eps)) #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)))
(tan.f64 (+.f64 x eps))
(+.f64 x eps)
#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))
(.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)
(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))
(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))
(fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))
#s(literal 17/315 binary64)
(*.f64 x x)
#s(literal 2/15 binary64)
#s(literal 1/3 binary64)
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(/.f64 (+.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 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))
(*.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))
#s(approx (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) #s(hole binary64 (+ 1 (* eps x))))
#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))
#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))
#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))
#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 x #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 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 (tan (+ x eps)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/3 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (+ 1/3 (* 2/15 (pow x 2)))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))
#s(approx (+ (* 17/315 (* x x)) 2/15) #s(hole binary64 2/15))
#s(approx (+ (* 17/315 (* x x)) 2/15) #s(hole binary64 (+ 2/15 (* 17/315 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (- (/ (+ (tan x) (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) (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) (tan eps)) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (/ (+ (tan x) (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) (tan eps)) (- 1 (* (tan x) (tan 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) (tan eps)) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* x (- 1/3 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (* -1/3 (/ (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) (tan eps)) #s(hole binary64 (/ (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 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps)))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (/ (sin eps) (cos eps)))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 1))
#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 (+ 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 (+ x eps)) #s(hole binary64 (/ (sin (+ eps x)) (cos (+ eps x)))))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* 17/315 (pow x 7))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* 17/315 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (* 17/315 (pow x 4))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (* (pow x 4) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (* (pow x 4) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))))
#s(approx (+ (* 17/315 (* x x)) 2/15) #s(hole binary64 (* 17/315 (pow x 2))))
#s(approx (+ (* 17/315 (* x x)) 2/15) #s(hole binary64 (* (pow x 2) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))
#s(approx (- (/ (+ (tan x) (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) (tan eps)) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (sin x) (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 (+ 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 (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 2/15 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 17/315)))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))))
#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 (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (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 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx eps #s(hole binary64 eps))
#s(approx (tan eps) #s(hole binary64 eps))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (/ (+ (tan x) (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) (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) (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) (tan eps)) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (/ (+ (tan x) (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) (tan eps)) (- 1 (* (tan x) (tan 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) (tan eps)) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (+ (* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (* -1/3 (/ (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 (+ (tan x) (tan eps)) #s(hole binary64 (/ (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 (* 1/3 (pow eps 2)))) (/ (sin x) (cos x)))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 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 (* (- (+ (* 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 (* (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) #s(hole binary64 (* eps (+ (/ 1 eps) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))))
#s(approx (tan eps) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (- (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 (+ 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
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (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 (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 2 binary64)) (pow.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #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))) (+.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 2 binary64)) (+.f64 (pow.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #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 (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 2 binary64)) #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)) (+.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 2 binary64)) (-.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) (pow.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #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) (+.f64 (pow.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #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 (exp.f64 (log.f64 (tan.f64 x))) (exp.f64 (log.f64 (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(pow.f64 (exp.f64 (log.f64 (tan.f64 x))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.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))))
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))
(pow.f64 (tan.f64 x) #s(literal 1 binary64))
(/.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))
(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))
(tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 x (PI.f64)))
(tan.f64 x)
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 1 binary64)))
x
#s(literal 2 binary64)
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))
(sin.f64 x)
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)))
(pow.f64 (cos.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal -1 binary64)))
(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)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64)))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (tan.f64 eps))
(/.f64 (+.f64 (tan.f64 eps) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 (PI.f64)))))
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(tan.f64 (+.f64 (+.f64 eps (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 eps (PI.f64)))
(tan.f64 eps)
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan 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)
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#s(approx (sin x) (sin.f64 x))
#s(approx (cos x) (cos.f64 x))
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#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
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#s(approx eps eps)
#s(approx (tan eps) eps)
#s(approx (tan eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))
#s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan.f64 x))
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#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (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))
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#s(approx (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan.f64 x))
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#s(approx (+ (tan x) (tan eps)) (tan.f64 x))
#s(approx (+ (tan x) (tan eps)) (+.f64 (tan.f64 x) eps))
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#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 (* (- (+ (* 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 eps (.f64 (.f64 eps eps) (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 (-.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 #s(literal 1 binary64) (.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 (-.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 (.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) (+.f64 #s(literal 1 binary64) (.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))) eps)))
#s(approx (tan eps) (tan.f64 eps))
#s(approx (+ x eps) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan 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 #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 x) (tan eps)) (- 1 (* (tan x) (tan 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))))

eval87.0ms (1.4%)

Memory: -2.5MiB live, 87.3MiB allocated; 13ms collecting garbage
Compiler: Compiled 6 621 to 2 224 computations (66.4% saved)

prune28.0ms (0.4%)

Memory

-13.2MiB live, 42.9MiB allocated; 20ms collecting garbage

Pruning

23 alts after pruning (20 fresh and 3 done)

	Pruned	Kept	Total
New	358	19	377
Fresh	2	1	3
Picked	3	2	5
Done	0	1	1
Total	363	23	386

Accuracy

100.0%

Counts

386 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.2%	(-.f64 (/.f64 (+.f64 (tan.f64 x) #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))))) (tan.f64 x))
	62.1%	(-.f64 (/.f64 (+.f64 (tan.f64 x) #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))))) (tan.f64 x))
	3.4%	(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) #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)))
	7.0%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x (PI.f64))))
✓	61.9%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓	61.2%	(-.f64 (tan.f64 (+.f64 x eps)) #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)))
▶	61.1%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 17/315 (* x x)) 2/15) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
	99.3%	(+.f64 (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
▶	99.5%	#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (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 (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps (/.f64 (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) #s(literal 1 binary64)) (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
	99.2%	#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))
▶	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))) #s(literal 2 binary64)))) eps))
	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 x (PI.f64))) #s(literal 2 binary64)))) eps))
✓	99.3%	#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))
	52.3%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))))) eps))
	98.4%	#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))
	3.5%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 (+.f64 eps (PI.f64)) (PI.f64))))
	98.4%	#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) (fma.f64 (*.f64 eps eps) x eps)))
▶	98.4%	#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))
	98.4%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (*.f64 x x) eps eps)))
	98.4%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)))
	98.4%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)))
▶	98.4%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps)))

Compiler

Compiled 870 to 746 computations (14.3% saved)

series55.0ms (0.9%)

Memory

15.9MiB live, 104.1MiB allocated; 13ms collecting garbage

Counts

39 → 173

Calls

Call 1

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

Outputs
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (- (/ (+ (tan x) (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) (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 (* (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 1 (neg (pow (tan x) 2)))) eps) #s(hole binary64 eps))
#s(approx (* (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan 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))) (tan 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))) (tan x))) (- 1 (neg (pow (tan x) 2)))) eps) #s(hole binary64 (+ eps (* x (+ (* x (+ eps (* 4/3 (* (pow eps 2) x)))) (pow eps 2))))))
#s(approx (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 1 (neg (pow (tan x) 2)))) #s(hole binary64 1))
#s(approx (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 1 (neg (pow (tan x) 2)))) #s(hole binary64 (+ 1 (* eps x))))
#s(approx (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 1 (neg (pow (tan x) 2)))) #s(hole binary64 (+ 1 (* x (+ eps x)))))
#s(approx (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 1 (neg (pow (tan x) 2)))) #s(hole binary64 (+ 1 (* x (+ eps (* x (+ 1 (* 4/3 (* eps x)))))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (tan x)) #s(hole binary64 x))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (tan x)) #s(hole binary64 (* x (+ 1 (* 4/3 (pow x 2))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (tan x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 4/3 (* 17/15 (pow x 2))))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (tan 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))) #s(hole binary64 1))
#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))
#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 x #s(hole binary64 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 (* (- (+ (* 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 (tan (+ x eps)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/3 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (+ 1/3 (* 2/15 (pow x 2)))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))
#s(approx (+ (* 17/315 (* x x)) 2/15) #s(hole binary64 2/15))
#s(approx (+ (* 17/315 (* x x)) 2/15) #s(hole binary64 (+ 2/15 (* 17/315 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (- 1 (neg (pow (tan (+ (+ x (PI)) (PI))) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))))
#s(approx (* (- 1 (neg (pow (tan (+ (+ x (PI)) (PI))) 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 (+ (+ x (PI)) (PI))) 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 (+ (+ x (PI)) (PI))) 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 (+ (+ x (PI)) (PI))) 2))) #s(hole binary64 (+ 1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))
#s(approx (- 1 (neg (pow (tan (+ (+ x (PI)) (PI))) 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 (+ (+ x (PI)) (PI))) 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 (+ (+ x (PI)) (PI))) 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 (+ (+ x (PI)) (PI))) 2)) #s(hole binary64 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))
#s(approx (neg (pow (tan (+ (+ x (PI)) (PI))) 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 (+ (+ x (PI)) (PI))) 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 (+ (+ x (PI)) (PI))) 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 (+ (+ x (PI)) (PI))) 2) #s(hole binary64 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))
#s(approx (pow (tan (+ (+ x (PI)) (PI))) 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 (+ (+ x (PI)) (PI))) 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 (+ (+ x (PI)) (PI))) 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 (+ (+ x (PI)) (PI))) #s(hole binary64 (/ (sin (* 2 (PI))) (cos (* 2 (PI))))))
#s(approx (tan (+ (+ x (PI)) (PI))) #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 (+ (+ x (PI)) (PI))) #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 (+ (+ x (PI)) (PI))) #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 (+ (+ x (PI)) (PI)) #s(hole binary64 (* 2 (PI))))
#s(approx (+ (+ x (PI)) (PI)) #s(hole binary64 (+ x (* 2 (PI)))))
#s(approx (+ x (PI)) #s(hole binary64 (PI)))
#s(approx (+ x (PI)) #s(hole binary64 (+ x (PI))))
#s(approx (- (/ (+ (tan x) (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 (* (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan 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))) (tan 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 (* (- 1 (neg (pow (tan x) 2))) (tan 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))) #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 (- (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 (tan (+ x eps)) #s(hole binary64 (/ (sin (+ eps x)) (cos (+ eps x)))))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* 17/315 (pow x 7))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* 17/315 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (* 17/315 (pow x 4))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (* (pow x 4) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (* (pow x 4) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))))
#s(approx (+ (* 17/315 (* x x)) 2/15) #s(hole binary64 (* 17/315 (pow x 2))))
#s(approx (+ (* 17/315 (* x x)) 2/15) #s(hole binary64 (* (pow x 2) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))
#s(approx (* (- 1 (neg (pow (tan (+ (+ x (PI)) (PI))) 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 (+ (+ x (PI)) (PI))) 2))) #s(hole binary64 (+ 1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))
#s(approx (neg (pow (tan (+ (+ x (PI)) (PI))) 2)) #s(hole binary64 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))
#s(approx (pow (tan (+ (+ x (PI)) (PI))) 2) #s(hole binary64 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))
#s(approx (tan (+ (+ x (PI)) (PI))) #s(hole binary64 (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))))
#s(approx (+ (+ x (PI)) (PI)) #s(hole binary64 x))
#s(approx (+ (+ x (PI)) (PI)) #s(hole binary64 (* x (+ 1 (* 2 (/ (PI) x))))))
#s(approx (+ x (PI)) #s(hole binary64 x))
#s(approx (+ x (PI)) #s(hole binary64 (* x (+ 1 (/ (PI) 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 (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 2/15 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 17/315)))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))))
#s(approx (* (- 1 (neg (pow (tan (+ (+ x (PI)) (PI))) 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 (+ (+ x (PI)) (PI))) 2))) #s(hole binary64 (+ 1 (/ (pow (sin (- (* 2 (PI)) (* -1 x))) 2) (pow (cos (- (* 2 (PI)) (* -1 x))) 2)))))
#s(approx (neg (pow (tan (+ (+ x (PI)) (PI))) 2)) #s(hole binary64 (* -1 (/ (pow (sin (- (* 2 (PI)) (* -1 x))) 2) (pow (cos (- (* 2 (PI)) (* -1 x))) 2)))))
#s(approx (pow (tan (+ (+ x (PI)) (PI))) 2) #s(hole binary64 (/ (pow (sin (- (* 2 (PI)) (* -1 x))) 2) (pow (cos (- (* 2 (PI)) (* -1 x))) 2))))
#s(approx (tan (+ (+ x (PI)) (PI))) #s(hole binary64 (/ (sin (- (* 2 (PI)) (* -1 x))) (cos (- (* 2 (PI)) (* -1 x))))))
#s(approx (+ (+ x (PI)) (PI)) #s(hole binary64 (* -1 (* x (- (* -2 (/ (PI) x)) 1)))))
#s(approx (+ x (PI)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (PI) x)) 1)))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (/ (+ (tan x) (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) (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) (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 (* (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 1 (neg (pow (tan x) 2)))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 1 (neg (pow (tan x) 2)))) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx eps #s(hole binary64 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 (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (tan eps) #s(hole binary64 eps))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))))
#s(approx (* (+ (* (* eps eps) 1/3) 1) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (* eps eps) 1/3) 1) eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (+ (* (* eps eps) 1/3) 1) #s(hole binary64 1))
#s(approx (+ (* (* eps eps) 1/3) 1) #s(hole binary64 (+ 1 (* 1/3 (pow eps 2)))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (* (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan 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))) (tan 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))) (tan 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))) (tan 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) (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 (tan eps) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (* (+ (* (* eps eps) 1/3) 1) eps) #s(hole binary64 (* 1/3 (pow eps 3))))
#s(approx (* (+ (* (* eps eps) 1/3) 1) eps) #s(hole binary64 (* (pow eps 3) (+ 1/3 (/ 1 (pow eps 2))))))
#s(approx (+ (* (* eps eps) 1/3) 1) #s(hole binary64 (* 1/3 (pow eps 2))))
#s(approx (+ (* (* eps eps) 1/3) 1) #s(hole binary64 (* (pow eps 2) (+ 1/3 (/ 1 (pow eps 2))))))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan 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 (- (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
13.0ms	x	@	0	((- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (* (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 1 (neg (pow (tan x) 2)))) eps) (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 1 (neg (pow (tan x) 2)))) eps (* (- 1 (neg (pow (tan x) 2))) (tan x)) (- 1 (neg (pow (tan x) 2))) 1 (neg (pow (tan x) 2)) (pow (tan x) 2) (tan x) 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) (- (tan (+ x eps)) (tan x)) (tan eps) (* (+ (* (* eps eps) 1/3) 1) eps) (+ (* (* eps eps) 1/3) 1) (* eps eps) 1/3 (- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x) (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (+ (* 17/315 (* x x)) 2/15) 2/15 (* x x) (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan (+ (+ x (PI)) (PI))) 2))) eps) (- 1 (neg (pow (tan (+ (+ x (PI)) (PI))) 2))) (neg (pow (tan (+ (+ x (PI)) (PI))) 2)) (pow (tan (+ (+ x (PI)) (PI))) 2) (tan (+ (+ x (PI)) (PI))) (+ (+ x (PI)) (PI)) (+ x (PI)) (PI))
10.0ms	x	@	inf	((- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (* (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 1 (neg (pow (tan x) 2)))) eps) (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 1 (neg (pow (tan x) 2)))) eps (* (- 1 (neg (pow (tan x) 2))) (tan x)) (- 1 (neg (pow (tan x) 2))) 1 (neg (pow (tan x) 2)) (pow (tan x) 2) (tan x) 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) (- (tan (+ x eps)) (tan x)) (tan eps) (* (+ (* (* eps eps) 1/3) 1) eps) (+ (* (* eps eps) 1/3) 1) (* eps eps) 1/3 (- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x) (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (+ (* 17/315 (* x x)) 2/15) 2/15 (* x x) (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan (+ (+ x (PI)) (PI))) 2))) eps) (- 1 (neg (pow (tan (+ (+ x (PI)) (PI))) 2))) (neg (pow (tan (+ (+ x (PI)) (PI))) 2)) (pow (tan (+ (+ x (PI)) (PI))) 2) (tan (+ (+ x (PI)) (PI))) (+ (+ x (PI)) (PI)) (+ x (PI)) (PI))
9.0ms	eps	@	inf	((- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (* (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 1 (neg (pow (tan x) 2)))) eps) (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 1 (neg (pow (tan x) 2)))) eps (* (- 1 (neg (pow (tan x) 2))) (tan x)) (- 1 (neg (pow (tan x) 2))) 1 (neg (pow (tan x) 2)) (pow (tan x) 2) (tan x) 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) (- (tan (+ x eps)) (tan x)) (tan eps) (* (+ (* (* eps eps) 1/3) 1) eps) (+ (* (* eps eps) 1/3) 1) (* eps eps) 1/3 (- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x) (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (+ (* 17/315 (* x x)) 2/15) 2/15 (* x x) (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan (+ (+ x (PI)) (PI))) 2))) eps) (- 1 (neg (pow (tan (+ (+ x (PI)) (PI))) 2))) (neg (pow (tan (+ (+ x (PI)) (PI))) 2)) (pow (tan (+ (+ x (PI)) (PI))) 2) (tan (+ (+ x (PI)) (PI))) (+ (+ x (PI)) (PI)) (+ x (PI)) (PI))
7.0ms	x	@	-inf	((- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (* (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 1 (neg (pow (tan x) 2)))) eps) (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 1 (neg (pow (tan x) 2)))) eps (* (- 1 (neg (pow (tan x) 2))) (tan x)) (- 1 (neg (pow (tan x) 2))) 1 (neg (pow (tan x) 2)) (pow (tan x) 2) (tan x) 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) (- (tan (+ x eps)) (tan x)) (tan eps) (* (+ (* (* eps eps) 1/3) 1) eps) (+ (* (* eps eps) 1/3) 1) (* eps eps) 1/3 (- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x) (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (+ (* 17/315 (* x x)) 2/15) 2/15 (* x x) (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan (+ (+ x (PI)) (PI))) 2))) eps) (- 1 (neg (pow (tan (+ (+ x (PI)) (PI))) 2))) (neg (pow (tan (+ (+ x (PI)) (PI))) 2)) (pow (tan (+ (+ x (PI)) (PI))) 2) (tan (+ (+ x (PI)) (PI))) (+ (+ x (PI)) (PI)) (+ x (PI)) (PI))
6.0ms	eps	@	-inf	((- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (* (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 1 (neg (pow (tan x) 2)))) eps) (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 1 (neg (pow (tan x) 2)))) eps (* (- 1 (neg (pow (tan x) 2))) (tan x)) (- 1 (neg (pow (tan x) 2))) 1 (neg (pow (tan x) 2)) (pow (tan x) 2) (tan x) 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) (- (tan (+ x eps)) (tan x)) (tan eps) (* (+ (* (* eps eps) 1/3) 1) eps) (+ (* (* eps eps) 1/3) 1) (* eps eps) 1/3 (- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x) (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (+ (* 17/315 (* x x)) 2/15) 2/15 (* x x) (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan (+ (+ x (PI)) (PI))) 2))) eps) (- 1 (neg (pow (tan (+ (+ x (PI)) (PI))) 2))) (neg (pow (tan (+ (+ x (PI)) (PI))) 2)) (pow (tan (+ (+ x (PI)) (PI))) 2) (tan (+ (+ x (PI)) (PI))) (+ (+ x (PI)) (PI)) (+ x (PI)) (PI))

rewrite237.0ms (3.7%)

Memory

-16.5MiB live, 272.8MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	794	7139
0	839	6412
1	4877	4882
0	8663	4654

Stop Event

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

Counts

212 → 363

Calls

Call 1

Inputs
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (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)
(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 (-.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))))
#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)
#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)) #s(approx (tan eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps)))
#s(approx (tan eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))
(.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps)
(fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))
(*.f64 eps eps)
#s(literal 1/3 binary64)
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 17/315 (* x x)) 2/15) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(tan.f64 (+.f64 x eps))
(+.f64 x eps)
#s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 17/315 (* x x)) 2/15) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (fma.f64 #s(approx (+ ( 17/315 (* x x)) 2/15) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(approx (+ (* 17/315 (* x x)) 2/15) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* 17/315 (* x x)) 2/15) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
#s(approx (+ (* 17/315 (* x x)) 2/15) #s(literal 2/15 binary64))
#s(literal 2/15 binary64)
(*.f64 x x)
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))) #s(literal 2 binary64)))) eps))
(*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))) #s(literal 2 binary64)))) eps)
(-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))) #s(literal 2 binary64))))
(neg.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))) #s(literal 2 binary64)))
(pow.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))) #s(literal 2 binary64))
(tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64)))
(+.f64 (+.f64 x (PI.f64)) (PI.f64))
(+.f64 x (PI.f64))
(PI.f64)
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (- (/ (+ (tan x) (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) (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 (* (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 1 (neg (pow (tan x) 2)))) eps) #s(hole binary64 eps))
#s(approx (* (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan 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))) (tan 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))) (tan x))) (- 1 (neg (pow (tan x) 2)))) eps) #s(hole binary64 (+ eps (* x (+ (* x (+ eps (* 4/3 (* (pow eps 2) x)))) (pow eps 2))))))
#s(approx (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 1 (neg (pow (tan x) 2)))) #s(hole binary64 1))
#s(approx (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 1 (neg (pow (tan x) 2)))) #s(hole binary64 (+ 1 (* eps x))))
#s(approx (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 1 (neg (pow (tan x) 2)))) #s(hole binary64 (+ 1 (* x (+ eps x)))))
#s(approx (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 1 (neg (pow (tan x) 2)))) #s(hole binary64 (+ 1 (* x (+ eps (* x (+ 1 (* 4/3 (* eps x)))))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (tan x)) #s(hole binary64 x))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (tan x)) #s(hole binary64 (* x (+ 1 (* 4/3 (pow x 2))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (tan x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 4/3 (* 17/15 (pow x 2))))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (tan 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))) #s(hole binary64 1))
#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))
#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 x #s(hole binary64 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 (* (- (+ (* 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 (tan (+ x eps)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/3 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (+ 1/3 (* 2/15 (pow x 2)))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))
#s(approx (+ (* 17/315 (* x x)) 2/15) #s(hole binary64 2/15))
#s(approx (+ (* 17/315 (* x x)) 2/15) #s(hole binary64 (+ 2/15 (* 17/315 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (- 1 (neg (pow (tan (+ (+ x (PI)) (PI))) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))))
#s(approx (* (- 1 (neg (pow (tan (+ (+ x (PI)) (PI))) 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 (+ (+ x (PI)) (PI))) 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 (+ (+ x (PI)) (PI))) 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 (+ (+ x (PI)) (PI))) 2))) #s(hole binary64 (+ 1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))
#s(approx (- 1 (neg (pow (tan (+ (+ x (PI)) (PI))) 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 (+ (+ x (PI)) (PI))) 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 (+ (+ x (PI)) (PI))) 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 (+ (+ x (PI)) (PI))) 2)) #s(hole binary64 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))
#s(approx (neg (pow (tan (+ (+ x (PI)) (PI))) 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 (+ (+ x (PI)) (PI))) 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 (+ (+ x (PI)) (PI))) 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 (+ (+ x (PI)) (PI))) 2) #s(hole binary64 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))
#s(approx (pow (tan (+ (+ x (PI)) (PI))) 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 (+ (+ x (PI)) (PI))) 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 (+ (+ x (PI)) (PI))) 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 (+ (+ x (PI)) (PI))) #s(hole binary64 (/ (sin (* 2 (PI))) (cos (* 2 (PI))))))
#s(approx (tan (+ (+ x (PI)) (PI))) #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 (+ (+ x (PI)) (PI))) #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 (+ (+ x (PI)) (PI))) #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 (+ (+ x (PI)) (PI)) #s(hole binary64 (* 2 (PI))))
#s(approx (+ (+ x (PI)) (PI)) #s(hole binary64 (+ x (* 2 (PI)))))
#s(approx (+ x (PI)) #s(hole binary64 (PI)))
#s(approx (+ x (PI)) #s(hole binary64 (+ x (PI))))
#s(approx (- (/ (+ (tan x) (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 (* (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan 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))) (tan 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 (* (- 1 (neg (pow (tan x) 2))) (tan 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))) #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 (- (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 (tan (+ x eps)) #s(hole binary64 (/ (sin (+ eps x)) (cos (+ eps x)))))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* 17/315 (pow x 7))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* 17/315 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (* 17/315 (pow x 4))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (* (pow x 4) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (* (pow x 4) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))))
#s(approx (+ (* 17/315 (* x x)) 2/15) #s(hole binary64 (* 17/315 (pow x 2))))
#s(approx (+ (* 17/315 (* x x)) 2/15) #s(hole binary64 (* (pow x 2) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))
#s(approx (* (- 1 (neg (pow (tan (+ (+ x (PI)) (PI))) 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 (+ (+ x (PI)) (PI))) 2))) #s(hole binary64 (+ 1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))
#s(approx (neg (pow (tan (+ (+ x (PI)) (PI))) 2)) #s(hole binary64 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))
#s(approx (pow (tan (+ (+ x (PI)) (PI))) 2) #s(hole binary64 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))
#s(approx (tan (+ (+ x (PI)) (PI))) #s(hole binary64 (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))))
#s(approx (+ (+ x (PI)) (PI)) #s(hole binary64 x))
#s(approx (+ (+ x (PI)) (PI)) #s(hole binary64 (* x (+ 1 (* 2 (/ (PI) x))))))
#s(approx (+ x (PI)) #s(hole binary64 x))
#s(approx (+ x (PI)) #s(hole binary64 (* x (+ 1 (/ (PI) 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 (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 2/15 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 17/315)))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))))
#s(approx (* (- 1 (neg (pow (tan (+ (+ x (PI)) (PI))) 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 (+ (+ x (PI)) (PI))) 2))) #s(hole binary64 (+ 1 (/ (pow (sin (- (* 2 (PI)) (* -1 x))) 2) (pow (cos (- (* 2 (PI)) (* -1 x))) 2)))))
#s(approx (neg (pow (tan (+ (+ x (PI)) (PI))) 2)) #s(hole binary64 (* -1 (/ (pow (sin (- (* 2 (PI)) (* -1 x))) 2) (pow (cos (- (* 2 (PI)) (* -1 x))) 2)))))
#s(approx (pow (tan (+ (+ x (PI)) (PI))) 2) #s(hole binary64 (/ (pow (sin (- (* 2 (PI)) (* -1 x))) 2) (pow (cos (- (* 2 (PI)) (* -1 x))) 2))))
#s(approx (tan (+ (+ x (PI)) (PI))) #s(hole binary64 (/ (sin (- (* 2 (PI)) (* -1 x))) (cos (- (* 2 (PI)) (* -1 x))))))
#s(approx (+ (+ x (PI)) (PI)) #s(hole binary64 (* -1 (* x (- (* -2 (/ (PI) x)) 1)))))
#s(approx (+ x (PI)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (PI) x)) 1)))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (/ (+ (tan x) (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) (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) (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 (* (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 1 (neg (pow (tan x) 2)))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 1 (neg (pow (tan x) 2)))) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx eps #s(hole binary64 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 (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (tan eps) #s(hole binary64 eps))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))))
#s(approx (* (+ (* (* eps eps) 1/3) 1) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (* eps eps) 1/3) 1) eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (+ (* (* eps eps) 1/3) 1) #s(hole binary64 1))
#s(approx (+ (* (* eps eps) 1/3) 1) #s(hole binary64 (+ 1 (* 1/3 (pow eps 2)))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (* (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan 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))) (tan 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))) (tan 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))) (tan 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) (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 (tan eps) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (* (+ (* (* eps eps) 1/3) 1) eps) #s(hole binary64 (* 1/3 (pow eps 3))))
#s(approx (* (+ (* (* eps eps) 1/3) 1) eps) #s(hole binary64 (* (pow eps 3) (+ 1/3 (/ 1 (pow eps 2))))))
#s(approx (+ (* (* eps eps) 1/3) 1) #s(hole binary64 (* 1/3 (pow eps 2))))
#s(approx (+ (* (* eps eps) 1/3) 1) #s(hole binary64 (* (pow eps 2) (+ 1/3 (/ 1 (pow eps 2))))))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan 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 (- (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
#s(approx (- (tan (+ x eps)) (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 (pow.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps) (tan.f64 x)) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps) (tan.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps) (tan.f64 x) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps) (tan.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps) (tan.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps) (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))) (+.f64 (pow.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps) (tan.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps) (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)))) eps) (tan.f64 x) (-.f64 #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 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps) (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)))) eps) (tan.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)))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps) (tan.f64 x)))
eps
(*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x))
(*.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.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)))
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(+.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))))
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (+.f64 #s(literal 0 binary64) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 x)))) (neg.f64 (neg.f64 (neg.f64 (cos.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 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (sin.f64 x) (cos.f64 x))
(tan.f64 (+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) x) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) x) (PI.f64)))
(tan.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) x))
(tan.f64 (+.f64 (PI.f64) x))
(tan.f64 x)
(/.f64 (-.f64 (.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) x)) (.f64 (PI.f64) (PI.f64))) (-.f64 (+.f64 (PI.f64) x) (PI.f64)))
(/.f64 (-.f64 (.f64 x x) (.f64 (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64)))) (-.f64 x (+.f64 (PI.f64) (PI.f64))))
(/.f64 (fma.f64 (.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) x)) (+.f64 (PI.f64) x) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (fma.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) x) (-.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (+.f64 (PI.f64) x) (PI.f64)))))
(/.f64 (fma.f64 (.f64 x x) x (.f64 #s(literal 8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))) (fma.f64 x x (-.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64))) (.f64 x (+.f64 (PI.f64) (PI.f64))))))
(fma.f64 (PI.f64) #s(literal 2 binary64) x)
(fma.f64 #s(literal 2 binary64) (PI.f64) x)
(-.f64 x (*.f64 #s(literal -2 binary64) (PI.f64)))
(+.f64 (+.f64 (PI.f64) (PI.f64)) x)
(+.f64 (+.f64 (PI.f64) x) (PI.f64))
(+.f64 (PI.f64) (+.f64 (PI.f64) x))
(+.f64 x (+.f64 (PI.f64) (PI.f64)))
(/.f64 (-.f64 (.f64 x x) (.f64 (PI.f64) (PI.f64))) (-.f64 x (PI.f64)))
(/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (fma.f64 x x (-.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 x (PI.f64)))))
(+.f64 (PI.f64) x)
(+.f64 x (PI.f64))
(PI.f64)
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
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#s(approx (* (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 1 (neg (pow (tan x) 2)))) eps) eps)
#s(approx (* (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 1 (neg (pow (tan x) 2)))) eps) (fma.f64 (*.f64 eps eps) x eps))
#s(approx (* (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 1 (neg (pow (tan x) 2)))) eps) (fma.f64 (fma.f64 eps eps (*.f64 eps x)) x eps))
#s(approx (* (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 1 (neg (pow (tan x) 2)))) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 (.f64 eps eps) x) eps) x (*.f64 eps eps)) x eps))
#s(approx (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 1 (neg (pow (tan x) 2)))) #s(literal 1 binary64))
#s(approx (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 1 (neg (pow (tan x) 2)))) (fma.f64 eps x #s(literal 1 binary64)))
#s(approx (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 1 (neg (pow (tan x) 2)))) (fma.f64 (+.f64 eps x) x #s(literal 1 binary64)))
#s(approx (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 1 (neg (pow (tan x) 2)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) (*.f64 eps x) #s(literal 1 binary64)) x eps) x #s(literal 1 binary64)))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (tan x)) x)
#s(approx (* (- 1 (neg (pow (tan x) 2))) (tan 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))) (tan 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))) (tan 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))) #s(literal 1 binary64))
#s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))
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#s(approx (neg (pow (tan x) 2)) (neg.f64 (*.f64 x x)))
#s(approx (neg (pow (tan x) 2)) (.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (.f64 x x)) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (neg (pow (tan x) 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 (pow (tan x) 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 (pow (tan x) 2) (*.f64 x x))
#s(approx (pow (tan x) 2) (.f64 (fma.f64 #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 #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)))
#s(approx (tan (+ (+ x (PI)) (PI))) x)
#s(approx (tan (+ (+ x (PI)) (PI))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x))
#s(approx (tan (+ (+ x (PI)) (PI))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
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#s(approx x x)
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#s(approx (* (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 1 (neg (pow (tan x) 2)))) eps) (fma.f64 (fma.f64 eps eps (*.f64 eps x)) x eps))
#s(approx (* (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan 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 (tan (+ x eps)) (tan.f64 eps))
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#s(approx (+ x eps) eps)
#s(approx (+ x eps) (+.f64 eps x))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) x)
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 17/315 binary64) x) x #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) (fma.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 17/315 binary64) x) x #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(literal 1/3 binary64))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 17/315 binary64) x) x #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))
#s(approx (+ (* 17/315 (* x x)) 2/15) #s(literal 2/15 binary64))
#s(approx (+ (* 17/315 (* x x)) 2/15) (fma.f64 (*.f64 #s(literal 17/315 binary64) x) x #s(literal 2/15 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (- 1 (neg (pow (tan (+ (+ x (PI)) (PI))) 2))) eps) (*.f64 #s(literal 1 binary64) eps))
#s(approx (* (- 1 (neg (pow (tan (+ (+ x (PI)) (PI))) 2))) eps) (fma.f64 (.f64 (.f64 #s(literal 0 binary64) x) eps) #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) eps)))
#s(approx (* (- 1 (neg (pow (tan (+ (+ x (PI)) (PI))) 2))) eps) (fma.f64 (fma.f64 (.f64 #s(literal 0 binary64) eps) #s(literal 2 binary64) (.f64 (.f64 eps x) #s(literal 1 binary64))) x (.f64 #s(literal 1 binary64) eps)))
#s(approx (* (- 1 (neg (pow (tan (+ (+ x (PI)) (PI))) 2))) eps) (fma.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal 0 binary64) x #s(literal 1 binary64))) x (.f64 (.f64 #s(literal 0 binary64) eps) #s(literal 2 binary64))) x (.f64 #s(literal 1 binary64) eps)))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(literal 1 binary64))
#s(approx (- 1 (neg (pow (tan x) 2))) (-.f64 (fma.f64 #s(literal 0 binary64) x #s(literal 1 binary64)) #s(literal 0 binary64)))
#s(approx (- 1 (neg (pow (tan x) 2))) (+.f64 (fma.f64 (fma.f64 #s(literal 1 binary64) x #s(literal 0 binary64)) x #s(literal 0 binary64)) #s(literal 1 binary64)))
#s(approx (- 1 (neg (pow (tan x) 2))) (+.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 0 binary64) x #s(literal 1 binary64)) #s(literal 0 binary64)) x #s(literal 0 binary64)) x #s(literal 0 binary64)) #s(literal 1 binary64)))
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#s(approx (neg (pow (tan x) 2)) (-.f64 (*.f64 (fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 0 binary64)) x) #s(literal 0 binary64)))
#s(approx (neg (pow (tan x) 2)) (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (neg.f64 x) #s(literal 0 binary64)) #s(literal 1 binary64)) x #s(literal 0 binary64)) x) #s(literal 0 binary64)))
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#s(approx (pow (tan x) 2) (fma.f64 (fma.f64 #s(literal 1 binary64) x #s(literal 0 binary64)) x #s(literal 0 binary64)))
#s(approx (pow (tan x) 2) (fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 0 binary64) x #s(literal 1 binary64)) #s(literal 0 binary64)) x #s(literal 0 binary64)) x #s(literal 0 binary64)))
#s(approx (tan (+ (+ x (PI)) (PI))) #s(literal 0 binary64))
#s(approx (tan (+ (+ x (PI)) (PI))) (fma.f64 #s(literal 1 binary64) x #s(literal 0 binary64)))
#s(approx (tan (+ (+ x (PI)) (PI))) (fma.f64 (-.f64 (fma.f64 #s(literal 0 binary64) x #s(literal 1 binary64)) #s(literal 0 binary64)) x #s(literal 0 binary64)))
#s(approx (tan (+ (+ x (PI)) (PI))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (neg.f64 x) #s(literal -1/3 binary64) #s(literal 0 binary64)) x #s(literal 1 binary64)) #s(literal 0 binary64)) x #s(literal 0 binary64)))
#s(approx (+ (+ x (PI)) (PI)) (+.f64 (PI.f64) (PI.f64)))
#s(approx (+ (+ x (PI)) (PI)) (fma.f64 (PI.f64) #s(literal 2 binary64) x))
#s(approx (+ x (PI)) (PI.f64))
#s(approx (+ x (PI)) (+.f64 (PI.f64) x))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
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#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 (PI)) (PI))) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
#s(approx (* (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan 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))) (/.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 (+ x eps)) (tan.f64 (+.f64 eps x)))
#s(approx (+ x eps) x)
#s(approx (+ x eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 17/315 binary64)))
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#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 17/315 binary64))))
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#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 17/315 binary64)))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 17/315 binary64))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 2/15 binary64) (.f64 x x))) #s(literal 17/315 binary64)) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (+ (* 17/315 (* x x)) 2/15) (.f64 (.f64 x x) #s(literal 17/315 binary64)))
#s(approx (+ (* 17/315 (* x x)) 2/15) (.f64 (+.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 17/315 binary64)) (*.f64 x x)))
#s(approx (* (- 1 (neg (pow (tan (+ (+ x (PI)) (PI))) 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 (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)))))) #s(literal 1 binary64)) eps))
#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) (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)))))) #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) (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))))))))
#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) (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)))))))
#s(approx (tan (+ (+ x (PI)) (PI))) (tan.f64 x))
#s(approx (+ (+ x (PI)) (PI)) x)
#s(approx (+ (+ x (PI)) (PI)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 2 binary64) #s(literal 1 binary64)) x))
#s(approx (+ x (PI)) x)
#s(approx (+ x (PI)) (*.f64 (+.f64 (/.f64 (PI.f64) x) #s(literal 1 binary64)) 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 (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 2/15 binary64)) (*.f64 x x))) #s(literal 17/315 binary64)) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (neg.f64 (.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 17/315 binary64)) (/.f64 #s(literal 2/15 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (- 1 (neg (pow (tan (+ (+ x (PI)) (PI))) 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 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 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 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 (+ (+ x (PI)) (PI))) (tan.f64 (-.f64 (+.f64 (PI.f64) (PI.f64)) (neg.f64 x))))
#s(approx (+ (+ x (PI)) (PI)) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (PI.f64) x) #s(literal -2 binary64)) #s(literal 1 binary64))))
#s(approx (+ x (PI)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (PI.f64) x)) #s(literal 1 binary64))))
#s(approx (- (tan (+ x eps)) (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 (+ x eps)) (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))
#s(approx (- (tan (+ x eps)) (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 (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 (-.f64 (-.f64 (.f64 (-.f64 (-.f64 (fma.f64 (neg.f64 eps) (+.f64 (fma.f64 #s(literal -1/3 binary64) (tan.f64 x) (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 (* (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 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 (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 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 eps eps)
#s(approx (- (tan (+ x eps)) (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 (+ 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 #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))
#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 #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 (/.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 1/6 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 (/.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 1/6 binary64)) eps)) (neg.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #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))))) 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 (+ 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 #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 -1/2 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 #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 (/.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 1/6 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 (/.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 1/6 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 #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))))))) (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 #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 (/.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 1/6 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 (/.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))))))))) eps) (neg.f64 (.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))))) 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 (* (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 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) eps)
#s(approx (tan eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))
#s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (* (+ (* (* eps eps) 1/3) 1) eps) eps)
#s(approx (* (+ (* (* eps eps) 1/3) 1) eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))
#s(approx (+ (* (* eps eps) 1/3) 1) #s(literal 1 binary64))
#s(approx (+ (* (* eps eps) 1/3) 1) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)))
#s(approx (* eps eps) (*.f64 eps eps))
#s(approx (tan (+ x eps)) (tan.f64 x))
#s(approx (tan (+ x eps)) (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 (+ x eps)) (fma.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 (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 (/.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 -1/2 binary64) (.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 1/6 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 (/.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 1/6 binary64)) eps)) (neg.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #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))))) 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 (* (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan 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))) (tan 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 (-.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))) (/.f64 #s(literal 1 binary64) eps))))
#s(approx (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 1 (neg (pow (tan x) 2)))) (/.f64 (.f64 (.f64 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))) (tan x))) (- 1 (neg (pow (tan x) 2)))) (+.f64 #s(literal 1 binary64) (.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 (-.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))) (tan 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))) (tan 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 (-.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))) (/.f64 #s(literal 1 binary64) eps))))
#s(approx (tan eps) (tan.f64 eps))
#s(approx (* (+ (* (* eps eps) 1/3) 1) eps) (.f64 (.f64 (*.f64 eps eps) eps) #s(literal 1/3 binary64)))
#s(approx (* (+ (* (* eps eps) 1/3) 1) eps) (fma.f64 (.f64 (.f64 eps eps) eps) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))
#s(approx (+ (* (* eps eps) 1/3) 1) (.f64 (.f64 eps eps) #s(literal 1/3 binary64)))
#s(approx (+ (* (* eps eps) 1/3) 1) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)))
#s(approx (+ x eps) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps))
#s(approx (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan 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 (- (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))))

eval41.0ms (0.6%)

Memory: 30.2MiB live, 73.5MiB allocated; 6ms collecting garbage
Compiler: Compiled 5 501 to 1 888 computations (65.7% saved)

prune20.0ms (0.3%)

Memory

-5.2MiB live, 39.7MiB allocated; 3ms collecting garbage

Pruning

26 alts after pruning (18 fresh and 8 done)

	Pruned	Kept	Total
New	294	7	301
Fresh	4	11	15
Picked	0	5	5
Done	0	3	3
Total	298	26	324

Accuracy

100.0%

Counts

324 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.2%	(-.f64 (/.f64 (+.f64 (tan.f64 x) #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))))) (tan.f64 x))
	62.1%	(-.f64 (/.f64 (+.f64 (tan.f64 x) #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))))) (tan.f64 x))
	3.4%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 17/315 (* x x)) 2/15) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
▶	3.4%	(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) #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)))
	7.0%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x (PI.f64))))
✓	61.9%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓	61.2%	(-.f64 (tan.f64 (+.f64 x eps)) #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)))
✓	61.1%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 17/315 (* x x)) 2/15) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
	99.3%	(+.f64 (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
✓	99.5%	#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (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))
	98.4%	#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (.f64 (fma.f64 eps (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) #s(literal 1 binary64)) (tan.f64 x)) #s(approx (- 1 (neg (pow (tan x) 2))) #s(literal 1 binary64))) eps))
	99.2%	#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (.f64 (fma.f64 eps #s(approx ( (- 1 (neg (pow (tan x) 2))) (tan x)) x) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
	98.4%	#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (.f64 #s(approx (+ ( eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 1 (neg (pow (tan x) 2)))) (fma.f64 (+.f64 eps x) x #s(literal 1 binary64))) eps))
	98.4%	#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(approx (* (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 1 (neg (pow (tan x) 2)))) eps) (fma.f64 (*.f64 eps eps) x eps)))
▶	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps (/.f64 (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) #s(literal 1 binary64)) (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
	99.3%	#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))
✓	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))) #s(literal 2 binary64)))) eps))
	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 #s(approx (+ x (PI)) x) (PI.f64))) #s(literal 2 binary64)))) eps))
✓	99.3%	#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))
▶	52.3%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))))) eps))
	3.5%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 (+.f64 eps (PI.f64)) (PI.f64))))
✓	98.4%	#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))
▶	98.4%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (*.f64 x x) eps eps)))
▶	98.4%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)))
	98.4%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)))
✓	98.4%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps)))

Compiler

Compiled 932 to 774 computations (17% saved)

series150.0ms (2.4%)

Memory

-22.5MiB live, 259.5MiB allocated; 96ms collecting garbage

Counts

47 → 218

Calls

Call 1

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

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))
#s(approx (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) #s(hole binary64 (+ 1 (* eps x))))
#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))
#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))
#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 (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (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))
#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 (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 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) eps) eps) #s(hole binary64 eps))
#s(approx (+ (* (* x x) eps) eps) #s(hole binary64 (+ eps (* eps (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (- 1 (neg (exp (* (log (tan x)) 2)))) eps) #s(hole binary64 eps))
#s(approx (* (- 1 (neg (exp (* (log (tan x)) 2)))) eps) #s(hole binary64 (+ eps (* eps (pow x 2)))))
#s(approx (* (- 1 (neg (exp (* (log (tan x)) 2)))) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2))))))))
#s(approx (* (- 1 (neg (exp (* (log (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 (exp (* (log (tan x)) 2)))) #s(hole binary64 1))
#s(approx (- 1 (neg (exp (* (log (tan x)) 2)))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (- 1 (neg (exp (* (log (tan x)) 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (- 1 (neg (exp (* (log (tan x)) 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (neg (exp (* (log (tan x)) 2))) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (neg (exp (* (log (tan x)) 2))) #s(hole binary64 (* (pow x 2) (- (* -2/3 (pow x 2)) 1))))
#s(approx (neg (exp (* (log (tan x)) 2))) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1))))
#s(approx (neg (exp (* (log (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 (exp (* (log (tan x)) 2)) #s(hole binary64 (pow x 2)))
#s(approx (exp (* (log (tan x)) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (exp (* (log (tan x)) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (exp (* (log (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 (* (log (tan x)) 2) #s(hole binary64 (* 2 (log x))))
#s(approx (* (log (tan x)) 2) #s(hole binary64 (+ (* 2/3 (pow x 2)) (* 2 (log x)))))
#s(approx (* (log (tan x)) 2) #s(hole binary64 (+ (* 2 (log x)) (* (pow x 2) (+ 2/3 (* 7/45 (pow x 2)))))))
#s(approx (* (log (tan x)) 2) #s(hole binary64 (+ (* 2 (log x)) (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 7/45 (* 124/2835 (pow x 2)))))))))
#s(approx (log (tan x)) #s(hole binary64 (log x)))
#s(approx (log (tan x)) #s(hole binary64 (+ (log x) (* 1/3 (pow x 2)))))
#s(approx (log (tan x)) #s(hole binary64 (+ (log x) (* (pow x 2) (+ 1/3 (* 7/90 (pow x 2)))))))
#s(approx (log (tan x)) #s(hole binary64 (+ (log x) (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 7/90 (* 62/2835 (pow x 2)))))))))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan x)) #s(hole binary64 (/ (sin (+ eps (PI))) (cos (+ eps (PI))))))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan x)) #s(hole binary64 (+ (/ (sin (+ eps (PI))) (cos (+ eps (PI)))) (/ (* x (pow (sin (+ eps (PI))) 2)) (pow (cos (+ eps (PI))) 2)))))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan x)) #s(hole binary64 (+ (* x (- (/ (* x (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))) (cos (+ eps (PI)))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin (+ eps (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (pow (cos (+ eps (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (* 1/6 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))))) (* -1 (/ (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (cos (+ eps (PI))))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))))
#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (/ (sin (+ eps (PI))) (cos (+ eps (PI))))))
#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))))
#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))) (cos (+ eps (PI))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))))
#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ eps (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (pow (cos (+ eps (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (* 1/6 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))))) (* -1 (/ (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (cos (+ eps (PI)))))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))))
#s(approx (+ (+ x (PI)) eps) #s(hole binary64 (+ eps (PI))))
#s(approx (+ (+ x (PI)) eps) #s(hole binary64 (+ eps (+ x (PI)))))
#s(approx (+ x (PI)) #s(hole binary64 (PI)))
#s(approx (+ x (PI)) #s(hole binary64 (+ x (PI))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/3 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (+ 1/3 (* 2/15 (pow x 2)))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))
#s(approx (+ (* 17/315 (* x x)) 2/15) #s(hole binary64 2/15))
#s(approx (+ (* 17/315 (* x x)) 2/15) #s(hole binary64 (+ 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 (* (- (+ (* 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 (sin x) #s(hole binary64 (sin x)))
#s(approx (cos x) #s(hole binary64 (cos x)))
#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 (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (* x x) eps) eps) #s(hole binary64 (* eps (pow x 2))))
#s(approx (+ (* (* x x) eps) eps) #s(hole binary64 (* (pow x 2) (+ eps (/ eps (pow x 2))))))
#s(approx (* (- 1 (neg (exp (* (log (tan x)) 2)))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (- 1 (neg (exp (* (log (tan x)) 2)))) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (neg (exp (* (log (tan x)) 2))) #s(hole binary64 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (exp (* (log (tan x)) 2)) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (* (log (tan x)) 2) #s(hole binary64 (* 2 (log (/ (sin x) (cos x))))))
#s(approx (log (tan x)) #s(hole binary64 (log (/ (sin x) (cos x)))))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps (+ x (PI)))) (cos (+ eps (+ x (PI))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (/ (sin (+ eps (+ x (PI)))) (cos (+ eps (+ x (PI)))))))
#s(approx (+ (+ x (PI)) eps) #s(hole binary64 x))
#s(approx (+ (+ x (PI)) eps) #s(hole binary64 (* x (+ 1 (+ (/ eps x) (/ (PI) x))))))
#s(approx (+ x (PI)) #s(hole binary64 x))
#s(approx (+ x (PI)) #s(hole binary64 (* x (+ 1 (/ (PI) x)))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* 17/315 (pow x 7))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* 17/315 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (* 17/315 (pow x 4))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (* (pow x 4) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (* (pow x 4) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))))
#s(approx (+ (* 17/315 (* x x)) 2/15) #s(hole binary64 (* 17/315 (pow x 2))))
#s(approx (+ (* 17/315 (* x x)) 2/15) #s(hole binary64 (* (pow x 2) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))
#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 (PI)) eps)) (tan x)) #s(hole binary64 (- (/ (sin (- (+ eps (PI)) (* -1 x))) (cos (- (+ eps (PI)) (* -1 x)))) (/ (sin x) (cos x)))))
#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (/ (sin (- (+ eps (PI)) (* -1 x))) (cos (- (+ eps (PI)) (* -1 x))))))
#s(approx (+ (+ x (PI)) eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ eps (PI)) x)) 1)))))
#s(approx (+ x (PI)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (PI) x)) 1)))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 2/15 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 17/315)))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))))
#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 (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (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 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* (* x x) eps) eps) #s(hole binary64 (* eps (+ 1 (pow x 2)))))
#s(approx (tan eps) #s(hole binary64 eps))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) #s(hole binary64 (+ 1 (* 1/3 (pow eps 2)))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) #s(hole binary64 (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) #s(hole binary64 (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))))))
#s(approx (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) #s(hole binary64 (+ 1/3 (* 2/15 (pow eps 2)))))
#s(approx (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) #s(hole binary64 (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))))
#s(approx (+ (* (* eps eps) 17/315) 2/15) #s(hole binary64 2/15))
#s(approx (+ (* (* eps eps) 17/315) 2/15) #s(hole binary64 (+ 2/15 (* 17/315 (pow eps 2)))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ x (PI))) (cos (+ x (PI)))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan x)) #s(hole binary64 (- (+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan x)) #s(hole binary64 (- (+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))) (cos (+ x (PI))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan x)) #s(hole binary64 (- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (pow (cos (+ x (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (* 1/6 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))))) (* -1 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI)))))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (/ (sin (+ x (PI))) (cos (+ x (PI))))))
#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))) (cos (+ x (PI))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (pow (cos (+ x (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (* 1/6 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))))) (* -1 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI)))))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (+ (+ x (PI)) eps) #s(hole binary64 (+ x (PI))))
#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 (* (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) #s(hole binary64 (* eps (+ (/ 1 eps) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))))
#s(approx (tan eps) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* 17/315 (pow eps 7))))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 7) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 7) (+ 17/315 (+ (/ 1/3 (pow eps 4)) (* 2/15 (/ 1 (pow eps 2))))))))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 7) (+ 17/315 (+ (/ 1/3 (pow eps 4)) (+ (* 2/15 (/ 1 (pow eps 2))) (/ 1 (pow eps 6))))))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) #s(hole binary64 (* 17/315 (pow eps 6))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) #s(hole binary64 (* (pow eps 6) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) #s(hole binary64 (* (pow eps 6) (+ 17/315 (+ (/ 1/3 (pow eps 4)) (* 2/15 (/ 1 (pow eps 2))))))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) #s(hole binary64 (* (pow eps 6) (+ 17/315 (+ (/ 1/3 (pow eps 4)) (+ (* 2/15 (/ 1 (pow eps 2))) (/ 1 (pow eps 6))))))))
#s(approx (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) #s(hole binary64 (* 17/315 (pow eps 4))))
#s(approx (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) #s(hole binary64 (* (pow eps 4) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) #s(hole binary64 (* (pow eps 4) (+ 17/315 (+ (/ 1/3 (pow eps 4)) (* 2/15 (/ 1 (pow eps 2))))))))
#s(approx (+ (* (* eps eps) 17/315) 2/15) #s(hole binary64 (* 17/315 (pow eps 2))))
#s(approx (+ (* (* eps eps) 17/315) 2/15) #s(hole binary64 (* (pow eps 2) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))))
#s(approx (+ (+ x (PI)) eps) #s(hole binary64 eps))
#s(approx (+ (+ x (PI)) eps) #s(hole binary64 (* eps (+ 1 (+ (/ x eps) (/ (PI) 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 (+ (* (* x x) eps) eps) #s(hole binary64 (* -1 (* eps (- (* -1 (pow x 2)) 1)))))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- (* -1 (/ (+ 2/15 (* 1/3 (/ 1 (pow eps 2)))) (pow eps 2))) 17/315)))))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow eps 2))) (pow eps 4))) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))))))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan x)) #s(hole binary64 (- (/ (sin (- (+ x (PI)) (* -1 eps))) (cos (- (+ x (PI)) (* -1 eps)))) (/ (sin x) (cos x)))))
#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (/ (sin (- (+ x (PI)) (* -1 eps))) (cos (- (+ x (PI)) (* -1 eps))))))
#s(approx (+ (+ x (PI)) eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (PI)) eps)) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
50.0ms	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 (sin x) x (cos x) (neg (pow (tan x) 2)) (pow (tan x) 2) (tan x) 2 (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (+ (* (* x x) eps) eps) (* x x) (- (tan (+ x eps)) (tan x)) (tan eps) (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (+ (* (* eps eps) 17/315) 2/15) (* eps eps) 17/315 2/15 1/3 (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (exp (* (log (tan x)) 2)))) eps) (- 1 (neg (exp (* (log (tan x)) 2)))) (neg (exp (* (log (tan x)) 2))) (exp (* (log (tan x)) 2)) (* (log (tan x)) 2) (log (tan x)) (- (tan (+ (+ x (PI)) eps)) (tan x)) (tan (+ (+ x (PI)) eps)) (+ (+ x (PI)) eps) (+ x (PI)) (PI) (tan x) (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (+ (* 17/315 (* x x)) 2/15))
29.0ms	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 (sin x) x (cos x) (neg (pow (tan x) 2)) (pow (tan x) 2) (tan x) 2 (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (+ (* (* x x) eps) eps) (* x x) (- (tan (+ x eps)) (tan x)) (tan eps) (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (+ (* (* eps eps) 17/315) 2/15) (* eps eps) 17/315 2/15 1/3 (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (exp (* (log (tan x)) 2)))) eps) (- 1 (neg (exp (* (log (tan x)) 2)))) (neg (exp (* (log (tan x)) 2))) (exp (* (log (tan x)) 2)) (* (log (tan x)) 2) (log (tan x)) (- (tan (+ (+ x (PI)) eps)) (tan x)) (tan (+ (+ x (PI)) eps)) (+ (+ x (PI)) eps) (+ x (PI)) (PI) (tan x) (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (+ (* 17/315 (* x x)) 2/15))
15.0ms	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 (sin x) x (cos x) (neg (pow (tan x) 2)) (pow (tan x) 2) (tan x) 2 (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (+ (* (* x x) eps) eps) (* x x) (- (tan (+ x eps)) (tan x)) (tan eps) (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (+ (* (* eps eps) 17/315) 2/15) (* eps eps) 17/315 2/15 1/3 (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (exp (* (log (tan x)) 2)))) eps) (- 1 (neg (exp (* (log (tan x)) 2)))) (neg (exp (* (log (tan x)) 2))) (exp (* (log (tan x)) 2)) (* (log (tan x)) 2) (log (tan x)) (- (tan (+ (+ x (PI)) eps)) (tan x)) (tan (+ (+ x (PI)) eps)) (+ (+ x (PI)) eps) (+ x (PI)) (PI) (tan x) (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (+ (* 17/315 (* x x)) 2/15))
7.0ms	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 (sin x) x (cos x) (neg (pow (tan x) 2)) (pow (tan x) 2) (tan x) 2 (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (+ (* (* x x) eps) eps) (* x x) (- (tan (+ x eps)) (tan x)) (tan eps) (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (+ (* (* eps eps) 17/315) 2/15) (* eps eps) 17/315 2/15 1/3 (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (exp (* (log (tan x)) 2)))) eps) (- 1 (neg (exp (* (log (tan x)) 2)))) (neg (exp (* (log (tan x)) 2))) (exp (* (log (tan x)) 2)) (* (log (tan x)) 2) (log (tan x)) (- (tan (+ (+ x (PI)) eps)) (tan x)) (tan (+ (+ x (PI)) eps)) (+ (+ x (PI)) eps) (+ x (PI)) (PI) (tan x) (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (+ (* 17/315 (* x x)) 2/15))
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 (sin x) x (cos x) (neg (pow (tan x) 2)) (pow (tan x) 2) (tan x) 2 (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (+ (* (* x x) eps) eps) (* x x) (- (tan (+ x eps)) (tan x)) (tan eps) (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (+ (* (* eps eps) 17/315) 2/15) (* eps eps) 17/315 2/15 1/3 (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (exp (* (log (tan x)) 2)))) eps) (- 1 (neg (exp (* (log (tan x)) 2)))) (neg (exp (* (log (tan x)) 2))) (exp (* (log (tan x)) 2)) (* (log (tan x)) 2) (log (tan x)) (- (tan (+ (+ x (PI)) eps)) (tan x)) (tan (+ (+ x (PI)) eps)) (+ (+ x (PI)) eps) (+ x (PI)) (PI) (tan x) (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (+ (* 17/315 (* x x)) 2/15))

rewrite211.0ms (3.3%)

Memory

16.1MiB live, 156.1MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	879	6709
0	942	5970
1	5203	5930
0	8125	5738

Stop Event

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

Counts

265 → 443

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps (/.f64 (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) #s(literal 1 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 #s(approx (- 1 (neg (pow (tan x) 2))) #s(literal 1 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 #s(approx (- 1 (neg (pow (tan x) 2))) #s(literal 1 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 #s(approx (- 1 (neg (pow (tan x) 2))) #s(literal 1 binary64)) (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64))
eps
(/.f64 (*.f64 #s(approx (- 1 (neg (pow (tan x) 2))) #s(literal 1 binary64)) (sin.f64 x)) (cos.f64 x))
(*.f64 #s(approx (- 1 (neg (pow (tan x) 2))) #s(literal 1 binary64)) (sin.f64 x))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(literal 1 binary64))
#s(literal 1 binary64)
(sin.f64 x)
x
(cos.f64 x)
(neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan.f64 x)
#s(literal 2 binary64)
#s(approx (- (tan (+ x eps)) (tan x)) #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 (*.f64 x x) eps eps))
(fma.f64 (*.f64 x x) eps eps)
(*.f64 x x)
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #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 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)
(fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64))
(fma.f64 (*.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64))
(*.f64 eps eps)
#s(literal 17/315 binary64)
#s(literal 2/15 binary64)
#s(literal 1/3 binary64)
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))))) eps))
(.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))))) eps)
(-.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))))
(neg.f64 (exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))
(*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))
(log.f64 (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) #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)))
(tan.f64 (+.f64 (+.f64 x (PI.f64)) eps))
(+.f64 (+.f64 x (PI.f64)) eps)
(+.f64 x (PI.f64))
(PI.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))
(.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)
(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))
(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))
(fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))
#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))
#s(approx (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) #s(hole binary64 (+ 1 (* eps x))))
#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))
#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))
#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 (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (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))
#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 (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 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) eps) eps) #s(hole binary64 eps))
#s(approx (+ (* (* x x) eps) eps) #s(hole binary64 (+ eps (* eps (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (- 1 (neg (exp (* (log (tan x)) 2)))) eps) #s(hole binary64 eps))
#s(approx (* (- 1 (neg (exp (* (log (tan x)) 2)))) eps) #s(hole binary64 (+ eps (* eps (pow x 2)))))
#s(approx (* (- 1 (neg (exp (* (log (tan x)) 2)))) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2))))))))
#s(approx (* (- 1 (neg (exp (* (log (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 (exp (* (log (tan x)) 2)))) #s(hole binary64 1))
#s(approx (- 1 (neg (exp (* (log (tan x)) 2)))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (- 1 (neg (exp (* (log (tan x)) 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (- 1 (neg (exp (* (log (tan x)) 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (neg (exp (* (log (tan x)) 2))) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (neg (exp (* (log (tan x)) 2))) #s(hole binary64 (* (pow x 2) (- (* -2/3 (pow x 2)) 1))))
#s(approx (neg (exp (* (log (tan x)) 2))) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1))))
#s(approx (neg (exp (* (log (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 (exp (* (log (tan x)) 2)) #s(hole binary64 (pow x 2)))
#s(approx (exp (* (log (tan x)) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (exp (* (log (tan x)) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (exp (* (log (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 (* (log (tan x)) 2) #s(hole binary64 (* 2 (log x))))
#s(approx (* (log (tan x)) 2) #s(hole binary64 (+ (* 2/3 (pow x 2)) (* 2 (log x)))))
#s(approx (* (log (tan x)) 2) #s(hole binary64 (+ (* 2 (log x)) (* (pow x 2) (+ 2/3 (* 7/45 (pow x 2)))))))
#s(approx (* (log (tan x)) 2) #s(hole binary64 (+ (* 2 (log x)) (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 7/45 (* 124/2835 (pow x 2)))))))))
#s(approx (log (tan x)) #s(hole binary64 (log x)))
#s(approx (log (tan x)) #s(hole binary64 (+ (log x) (* 1/3 (pow x 2)))))
#s(approx (log (tan x)) #s(hole binary64 (+ (log x) (* (pow x 2) (+ 1/3 (* 7/90 (pow x 2)))))))
#s(approx (log (tan x)) #s(hole binary64 (+ (log x) (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 7/90 (* 62/2835 (pow x 2)))))))))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan x)) #s(hole binary64 (/ (sin (+ eps (PI))) (cos (+ eps (PI))))))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan x)) #s(hole binary64 (+ (/ (sin (+ eps (PI))) (cos (+ eps (PI)))) (/ (* x (pow (sin (+ eps (PI))) 2)) (pow (cos (+ eps (PI))) 2)))))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan x)) #s(hole binary64 (+ (* x (- (/ (* x (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))) (cos (+ eps (PI)))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin (+ eps (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (pow (cos (+ eps (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (* 1/6 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))))) (* -1 (/ (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (cos (+ eps (PI))))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))))
#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (/ (sin (+ eps (PI))) (cos (+ eps (PI))))))
#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))))
#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))) (cos (+ eps (PI))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))))
#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ eps (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (pow (cos (+ eps (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (* 1/6 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))))) (* -1 (/ (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (cos (+ eps (PI)))))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))))
#s(approx (+ (+ x (PI)) eps) #s(hole binary64 (+ eps (PI))))
#s(approx (+ (+ x (PI)) eps) #s(hole binary64 (+ eps (+ x (PI)))))
#s(approx (+ x (PI)) #s(hole binary64 (PI)))
#s(approx (+ x (PI)) #s(hole binary64 (+ x (PI))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/3 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (+ 1/3 (* 2/15 (pow x 2)))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))
#s(approx (+ (* 17/315 (* x x)) 2/15) #s(hole binary64 2/15))
#s(approx (+ (* 17/315 (* x x)) 2/15) #s(hole binary64 (+ 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 (* (- (+ (* 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 (sin x) #s(hole binary64 (sin x)))
#s(approx (cos x) #s(hole binary64 (cos x)))
#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 (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (* x x) eps) eps) #s(hole binary64 (* eps (pow x 2))))
#s(approx (+ (* (* x x) eps) eps) #s(hole binary64 (* (pow x 2) (+ eps (/ eps (pow x 2))))))
#s(approx (* (- 1 (neg (exp (* (log (tan x)) 2)))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (- 1 (neg (exp (* (log (tan x)) 2)))) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (neg (exp (* (log (tan x)) 2))) #s(hole binary64 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (exp (* (log (tan x)) 2)) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (* (log (tan x)) 2) #s(hole binary64 (* 2 (log (/ (sin x) (cos x))))))
#s(approx (log (tan x)) #s(hole binary64 (log (/ (sin x) (cos x)))))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps (+ x (PI)))) (cos (+ eps (+ x (PI))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (/ (sin (+ eps (+ x (PI)))) (cos (+ eps (+ x (PI)))))))
#s(approx (+ (+ x (PI)) eps) #s(hole binary64 x))
#s(approx (+ (+ x (PI)) eps) #s(hole binary64 (* x (+ 1 (+ (/ eps x) (/ (PI) x))))))
#s(approx (+ x (PI)) #s(hole binary64 x))
#s(approx (+ x (PI)) #s(hole binary64 (* x (+ 1 (/ (PI) x)))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* 17/315 (pow x 7))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* 17/315 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (* 17/315 (pow x 4))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (* (pow x 4) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (* (pow x 4) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))))
#s(approx (+ (* 17/315 (* x x)) 2/15) #s(hole binary64 (* 17/315 (pow x 2))))
#s(approx (+ (* 17/315 (* x x)) 2/15) #s(hole binary64 (* (pow x 2) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))
#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 (PI)) eps)) (tan x)) #s(hole binary64 (- (/ (sin (- (+ eps (PI)) (* -1 x))) (cos (- (+ eps (PI)) (* -1 x)))) (/ (sin x) (cos x)))))
#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (/ (sin (- (+ eps (PI)) (* -1 x))) (cos (- (+ eps (PI)) (* -1 x))))))
#s(approx (+ (+ x (PI)) eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ eps (PI)) x)) 1)))))
#s(approx (+ x (PI)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (PI) x)) 1)))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 2/15 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 17/315)))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))))
#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 (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (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 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* (* x x) eps) eps) #s(hole binary64 (* eps (+ 1 (pow x 2)))))
#s(approx (tan eps) #s(hole binary64 eps))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) #s(hole binary64 (+ 1 (* 1/3 (pow eps 2)))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) #s(hole binary64 (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) #s(hole binary64 (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))))))
#s(approx (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) #s(hole binary64 (+ 1/3 (* 2/15 (pow eps 2)))))
#s(approx (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) #s(hole binary64 (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))))
#s(approx (+ (* (* eps eps) 17/315) 2/15) #s(hole binary64 2/15))
#s(approx (+ (* (* eps eps) 17/315) 2/15) #s(hole binary64 (+ 2/15 (* 17/315 (pow eps 2)))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ x (PI))) (cos (+ x (PI)))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan x)) #s(hole binary64 (- (+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan x)) #s(hole binary64 (- (+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))) (cos (+ x (PI))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan x)) #s(hole binary64 (- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (pow (cos (+ x (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (* 1/6 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))))) (* -1 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI)))))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (/ (sin (+ x (PI))) (cos (+ x (PI))))))
#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))) (cos (+ x (PI))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (pow (cos (+ x (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (* 1/6 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))))) (* -1 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI)))))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (+ (+ x (PI)) eps) #s(hole binary64 (+ x (PI))))
#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 (* (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) #s(hole binary64 (* eps (+ (/ 1 eps) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))))
#s(approx (tan eps) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* 17/315 (pow eps 7))))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 7) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 7) (+ 17/315 (+ (/ 1/3 (pow eps 4)) (* 2/15 (/ 1 (pow eps 2))))))))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 7) (+ 17/315 (+ (/ 1/3 (pow eps 4)) (+ (* 2/15 (/ 1 (pow eps 2))) (/ 1 (pow eps 6))))))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) #s(hole binary64 (* 17/315 (pow eps 6))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) #s(hole binary64 (* (pow eps 6) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) #s(hole binary64 (* (pow eps 6) (+ 17/315 (+ (/ 1/3 (pow eps 4)) (* 2/15 (/ 1 (pow eps 2))))))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) #s(hole binary64 (* (pow eps 6) (+ 17/315 (+ (/ 1/3 (pow eps 4)) (+ (* 2/15 (/ 1 (pow eps 2))) (/ 1 (pow eps 6))))))))
#s(approx (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) #s(hole binary64 (* 17/315 (pow eps 4))))
#s(approx (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) #s(hole binary64 (* (pow eps 4) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) #s(hole binary64 (* (pow eps 4) (+ 17/315 (+ (/ 1/3 (pow eps 4)) (* 2/15 (/ 1 (pow eps 2))))))))
#s(approx (+ (* (* eps eps) 17/315) 2/15) #s(hole binary64 (* 17/315 (pow eps 2))))
#s(approx (+ (* (* eps eps) 17/315) 2/15) #s(hole binary64 (* (pow eps 2) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))))
#s(approx (+ (+ x (PI)) eps) #s(hole binary64 eps))
#s(approx (+ (+ x (PI)) eps) #s(hole binary64 (* eps (+ 1 (+ (/ x eps) (/ (PI) 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 (+ (* (* x x) eps) eps) #s(hole binary64 (* -1 (* eps (- (* -1 (pow x 2)) 1)))))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- (* -1 (/ (+ 2/15 (* 1/3 (/ 1 (pow eps 2)))) (pow eps 2))) 17/315)))))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow eps 2))) (pow eps 4))) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))))))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan x)) #s(hole binary64 (- (/ (sin (- (+ x (PI)) (* -1 eps))) (cos (- (+ x (PI)) (* -1 eps)))) (/ (sin x) (cos x)))))
#s(approx (tan (+ (+ x (PI)) eps)) #s(hole binary64 (/ (sin (- (+ x (PI)) (* -1 eps))) (cos (- (+ x (PI)) (* -1 eps))))))
#s(approx (+ (+ x (PI)) eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (PI)) eps)) 1)))))

Outputs
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan x)) (.f64 (fma.f64 (.f64 #s(approx (- 1 (neg (exp (* (log (tan x)) 2)))) #s(literal 1 binary64)) (tan.f64 x)) eps (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
(.f64 (fma.f64 (.f64 #s(approx (- 1 (neg (exp (* (log (tan x)) 2)))) #s(literal 1 binary64)) (tan.f64 x)) eps (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps)
(.f64 eps (fma.f64 (.f64 #s(approx (- 1 (neg (exp (* (log (tan x)) 2)))) #s(literal 1 binary64)) (tan.f64 x)) eps (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (fma.f64 (.f64 #s(approx (- 1 (neg (exp (* (log (tan x)) 2)))) #s(literal 1 binary64)) (tan.f64 x)) eps #s(literal 1 binary64)) (fma.f64 (.f64 #s(approx (- 1 (neg (exp ( (log (tan x)) 2)))) #s(literal 1 binary64)) (tan.f64 x)) eps #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 (.f64 #s(approx (- 1 (neg (exp (* (log (tan x)) 2)))) #s(literal 1 binary64)) (tan.f64 x)) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 #s(approx (- 1 (neg (exp ( (log (tan x)) 2)))) #s(literal 1 binary64)) (tan.f64 x)) eps #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 (.f64 #s(approx (- 1 (neg (exp ( (log (tan x)) 2)))) #s(literal 1 binary64)) (tan.f64 x)) eps #s(literal 1 binary64)) (fma.f64 (.f64 #s(approx (- 1 (neg (exp ( (log (tan x)) 2)))) #s(literal 1 binary64)) (tan.f64 x)) eps #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 (.f64 #s(approx (- 1 (neg (exp (* (log (tan x)) 2)))) #s(literal 1 binary64)) (tan.f64 x)) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))
(fma.f64 (.f64 #s(approx (- 1 (neg (exp ( (log (tan x)) 2)))) #s(literal 1 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 #s(approx (- 1 (neg (exp ( (log (tan x)) 2)))) #s(literal 1 binary64)) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(-.f64 (fma.f64 (.f64 #s(approx (- 1 (neg (exp ( (log (tan x)) 2)))) #s(literal 1 binary64)) (tan.f64 x)) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(+.f64 (.f64 (.f64 #s(approx (- 1 (neg (exp (* (log (tan x)) 2)))) #s(literal 1 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 #s(approx (- 1 (neg (exp ( (log (tan x)) 2)))) #s(literal 1 binary64)) (tan.f64 x)) eps) (.f64 (.f64 #s(approx (- 1 (neg (exp (* (log (tan x)) 2)))) #s(literal 1 binary64)) (tan.f64 x)) eps)) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 #s(approx (- 1 (neg (exp (* (log (tan x)) 2)))) #s(literal 1 binary64)) (tan.f64 x)) eps) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(approx (- 1 (neg (exp (* (log (tan x)) 2)))) #s(literal 1 binary64)) (tan.f64 x)) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 #s(approx (- 1 (neg (exp (* (log (tan x)) 2)))) #s(literal 1 binary64)) (tan.f64 x)) eps) (.f64 (.f64 #s(approx (- 1 (neg (exp (* (log (tan x)) 2)))) #s(literal 1 binary64)) (tan.f64 x)) eps) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(approx (- 1 (neg (exp ( (log (tan x)) 2)))) #s(literal 1 binary64)) (tan.f64 x)) eps) #s(literal 1 binary64)))))
(fma.f64 (.f64 #s(approx (- 1 (neg (exp ( (log (tan x)) 2)))) #s(literal 1 binary64)) (tan.f64 x)) eps #s(literal 1 binary64))
(fma.f64 eps (.f64 #s(approx (- 1 (neg (exp ( (log (tan x)) 2)))) #s(literal 1 binary64)) (tan.f64 x)) #s(literal 1 binary64))
(+.f64 (.f64 (.f64 #s(approx (- 1 (neg (exp (* (log (tan x)) 2)))) #s(literal 1 binary64)) (tan.f64 x)) eps) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(approx (- 1 (neg (exp (* (log (tan x)) 2)))) #s(literal 1 binary64)) (tan.f64 x)) eps))
eps
(.f64 #s(approx (- 1 (neg (exp ( (log (tan x)) 2)))) #s(literal 1 binary64)) (tan.f64 x))
(/.f64 (neg.f64 (.f64 (sin.f64 x) #s(approx (- 1 (neg (exp ( (log (tan x)) 2)))) #s(literal 1 binary64)))) (neg.f64 (cos.f64 x)))
(/.f64 (.f64 (sin.f64 x) #s(approx (- 1 (neg (exp ( (log (tan x)) 2)))) #s(literal 1 binary64))) (cos.f64 x))
(.f64 (sin.f64 x) #s(approx (- 1 (neg (exp ( (log (tan x)) 2)))) #s(literal 1 binary64)))
(.f64 #s(approx (- 1 (neg (exp ( (log (tan x)) 2)))) #s(literal 1 binary64)) (sin.f64 x))
#s(approx (- 1 (neg (exp (* (log (tan x)) 2)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(sin.f64 x)
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)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (exp.f64 (log.f64 (tan.f64 x))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (log.f64 (tan.f64 x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 (log.f64 (tan.f64 x))) #s(literal 1 binary64)) (exp.f64 (log.f64 (tan.f64 x))))
(*.f64 (pow.f64 (tan.f64 x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))
(*.f64 (exp.f64 (log.f64 (tan.f64 x))) (exp.f64 (log.f64 (tan.f64 x))))
(*.f64 (tan.f64 x) (tan.f64 x))
(pow.f64 (exp.f64 (log.f64 (tan.f64 x))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.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))))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (tan.f64 x)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (+.f64 (tan.f64 (PI.f64)) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (PI.f64)) (tan.f64 x))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 (PI.f64)))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))
(tan.f64 (+.f64 (PI.f64) x))
(tan.f64 x)
#s(literal 2 binary64)
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan x)) #s(approx (* (- 1 (neg (exp (* (log (tan x)) 2)))) eps) (*.f64 (fma.f64 x x #s(literal 1 binary64)) eps)))
#s(approx (* (- 1 (neg (exp (* (log (tan x)) 2)))) eps) (*.f64 (fma.f64 x x #s(literal 1 binary64)) eps))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) eps)
(*.f64 eps (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) eps) (.f64 (.f64 x x) eps)) (.f64 eps eps)) (-.f64 (.f64 (.f64 x x) eps) eps))
(/.f64 (-.f64 (.f64 eps eps) (.f64 (.f64 (.f64 x x) eps) (.f64 (.f64 x x) eps))) (-.f64 eps (.f64 (.f64 x x) eps)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x x) eps) (.f64 (.f64 x x) eps) (-.f64 (.f64 eps eps) (.f64 (.f64 (.f64 x x) eps) eps))))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x x) eps) #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (.f64 (.f64 (.f64 x x) eps) (.f64 (.f64 x x) eps)) (.f64 eps (.f64 (.f64 x x) eps)))))
(fma.f64 (*.f64 x x) eps eps)
(fma.f64 #s(literal 1 binary64) eps (.f64 (.f64 x x) eps))
(fma.f64 eps (*.f64 x x) eps)
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#s(approx (log (tan x)) (log.f64 (tan.f64 x)))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan x)) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
#s(approx (tan (+ (+ x (PI)) eps)) (tan.f64 (+.f64 eps x)))
#s(approx (+ (+ x (PI)) eps) x)
#s(approx (+ (+ x (PI)) eps) (*.f64 (+.f64 (/.f64 (+.f64 (PI.f64) eps) x) #s(literal 1 binary64)) x))
#s(approx (+ x (PI)) x)
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#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 17/315 binary64)))
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#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 17/315 binary64)))
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#s(approx (+ (* 17/315 (* x x)) 2/15) (.f64 (+.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 17/315 binary64)) (*.f64 x x)))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan x)) (-.f64 (tan.f64 (-.f64 eps (neg.f64 x))) (tan.f64 x)))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan x)) (-.f64 (tan.f64 (-.f64 eps (neg.f64 x))) (tan.f64 x)))
#s(approx (tan (+ (+ x (PI)) eps)) (tan.f64 (-.f64 eps (neg.f64 x))))
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#s(approx (+ x (PI)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (PI.f64) x)) #s(literal 1 binary64))))
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#s(approx (- (tan (+ (+ x (PI)) eps)) (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 (+ (+ x (PI)) 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 #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 (+ (+ x (PI)) 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 #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 -1/2 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 #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 (/.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 1/6 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 (/.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 1/6 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 #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))))))) (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 #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 (/.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 1/6 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 (/.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))))))))) eps) (neg.f64 (.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))))) 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 (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 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 (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 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 eps eps)
#s(approx (+ (* (* x x) eps) eps) (*.f64 (fma.f64 x x #s(literal 1 binary64)) eps))
#s(approx (tan eps) eps)
#s(approx (tan eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))
#s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (tan eps) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) eps) eps #s(literal 1 binary64)) eps))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) eps)
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) eps) eps #s(literal 1 binary64)) eps))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (*.f64 eps eps) #s(literal 1/3 binary64)) eps) eps #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) #s(literal 1/3 binary64))
#s(approx (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)))
#s(approx (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)))
#s(approx (+ (* (* eps eps) 17/315) 2/15) #s(literal 2/15 binary64))
#s(approx (+ (* (* eps eps) 17/315) 2/15) (fma.f64 (*.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)))
#s(approx (* eps eps) (*.f64 eps eps))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan x)) (-.f64 (tan.f64 x) (tan.f64 x)))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan x)) (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) (+.f64 (PI.f64) x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))))) (-.f64 (tan.f64 x) (tan.f64 x))))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan x)) (fma.f64 (-.f64 (fma.f64 eps (.f64 (neg.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) (+.f64 (PI.f64) x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))))) (neg.f64 (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) (+.f64 (PI.f64) x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) eps (-.f64 (tan.f64 x) (tan.f64 x))))
#s(approx (- (tan (+ (+ x (PI)) 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) (+.f64 (PI.f64) 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 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) x))))) (+.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))) (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) 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) (+.f64 (PI.f64) 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 1/6 binary64)) eps)) (neg.f64 (.f64 (neg.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) (+.f64 (PI.f64) x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))))) (neg.f64 (cos.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) (+.f64 (PI.f64) x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))))) eps (-.f64 (tan.f64 x) (tan.f64 x))))
#s(approx (tan (+ (+ x (PI)) eps)) (tan.f64 x))
#s(approx (tan (+ (+ x (PI)) eps)) (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) 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 (PI)) eps)) (fma.f64 (-.f64 (fma.f64 eps (.f64 (neg.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) (+.f64 (PI.f64) x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))))) (neg.f64 (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) (+.f64 (PI.f64) 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 (PI)) eps)) (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) (+.f64 (PI.f64) 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 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) x))))) (+.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))) (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) 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) (+.f64 (PI.f64) 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 1/6 binary64)) eps)) (neg.f64 (.f64 (neg.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) (+.f64 (PI.f64) x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))))) (neg.f64 (cos.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) (+.f64 (PI.f64) 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 (+ (+ x (PI)) eps) (+.f64 (PI.f64) x))
#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 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))) (.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 (.f64 (.f64 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) (.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 (tan eps) (tan.f64 eps))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) (*.f64 (pow.f64 eps #s(literal 7 binary64)) #s(literal 17/315 binary64)))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) (.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 2/15 binary64) (.f64 eps eps)) #s(literal 17/315 binary64))))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (/.f64 #s(literal 2/15 binary64) (*.f64 eps eps))) #s(literal 17/315 binary64)) (pow.f64 eps #s(literal 7 binary64))))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) (.f64 (+.f64 (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))) (+.f64 (pow.f64 eps #s(literal -6 binary64)) (/.f64 #s(literal 2/15 binary64) (*.f64 eps eps)))) (pow.f64 eps #s(literal 7 binary64))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 17/315 binary64)))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) (.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 2/15 binary64) (.f64 eps eps)) #s(literal 17/315 binary64))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) (.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (/.f64 #s(literal 2/15 binary64) (*.f64 eps eps))) #s(literal 17/315 binary64))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) (.f64 (+.f64 (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))) (+.f64 (pow.f64 eps #s(literal -6 binary64)) (/.f64 #s(literal 2/15 binary64) (*.f64 eps eps)))) (pow.f64 eps #s(literal 6 binary64))))
#s(approx (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 17/315 binary64)))
#s(approx (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 eps eps)) #s(literal 17/315 binary64))))
#s(approx (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (/.f64 #s(literal 2/15 binary64) (.f64 eps eps))) #s(literal 17/315 binary64)) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (+ (* (* eps eps) 17/315) 2/15) (.f64 (.f64 eps eps) #s(literal 17/315 binary64)))
#s(approx (+ (* (* eps eps) 17/315) 2/15) (.f64 (+.f64 (/.f64 #s(literal 2/15 binary64) (.f64 eps eps)) #s(literal 17/315 binary64)) (*.f64 eps eps)))
#s(approx (+ (+ x (PI)) eps) eps)
#s(approx (+ (+ x (PI)) eps) (*.f64 (+.f64 (/.f64 (+.f64 (PI.f64) x) eps) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ (+ x (PI)) 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 #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 (+ (* (* x x) eps) eps) (.f64 (neg.f64 eps) (-.f64 (neg.f64 (.f64 x x)) #s(literal 1 binary64))))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 eps eps)) #s(literal 2/15 binary64)) (*.f64 eps eps))) #s(literal 17/315 binary64)) (pow.f64 eps #s(literal 7 binary64)))))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) (neg.f64 (.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) #s(literal 1/3 binary64)) (.f64 (.f64 eps eps) (.f64 eps eps)))) #s(literal 17/315 binary64)) (/.f64 #s(literal 2/15 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 7 binary64)))))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan x)) (-.f64 (tan.f64 (-.f64 x (neg.f64 eps))) (tan.f64 x)))
#s(approx (tan (+ (+ x (PI)) eps)) (tan.f64 (-.f64 x (neg.f64 eps))))
#s(approx (+ (+ x (PI)) eps) (*.f64 (neg.f64 eps) (-.f64 (neg.f64 (/.f64 (+.f64 (PI.f64) x) eps)) #s(literal 1 binary64))))

eval60.0ms (1%)

Memory: 8.0MiB live, 103.0MiB allocated; 22ms collecting garbage
Compiler: Compiled 6 697 to 2 428 computations (63.7% saved)

prune28.0ms (0.4%)

Memory

2.1MiB live, 47.9MiB allocated; 5ms collecting garbage

Pruning

28 alts after pruning (18 fresh and 10 done)

	Pruned	Kept	Total
New	395	5	400
Fresh	0	13	13
Picked	3	2	5
Done	0	8	8
Total	398	28	426

Accuracy

100.0%

Counts

426 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.2%	(-.f64 (/.f64 (+.f64 (tan.f64 x) #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))))) (tan.f64 x))
	62.1%	(-.f64 (/.f64 (+.f64 (tan.f64 x) #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))))) (tan.f64 x))
	3.4%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 17/315 (* x x)) 2/15) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
	3.4%	(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) #s(approx (tan x) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)) x)))
	7.0%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x (PI.f64))))
✓	61.9%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓	61.2%	(-.f64 (tan.f64 (+.f64 x eps)) #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)))
✓	61.1%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 17/315 (* x x)) 2/15) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
	99.3%	(+.f64 (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
✓	99.5%	#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (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))
	98.4%	#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (.f64 (fma.f64 eps (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) #s(literal 1 binary64)) (tan.f64 x)) #s(approx (- 1 (neg (pow (tan x) 2))) #s(literal 1 binary64))) eps))
	99.2%	#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (.f64 (fma.f64 eps #s(approx ( (- 1 (neg (pow (tan x) 2))) (tan x)) x) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
	98.4%	#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (.f64 #s(approx (+ ( eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 1 (neg (pow (tan x) 2)))) (fma.f64 (+.f64 eps x) x #s(literal 1 binary64))) eps))
	98.4%	#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(approx (* (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 1 (neg (pow (tan x) 2)))) eps) (fma.f64 (*.f64 eps eps) x eps)))
	98.4%	#s(approx (- (tan (+ (+ x (PI)) eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) eps) eps #s(literal 1 binary64)) eps)))
	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 (.f64 #s(approx (- 1 (neg (exp (* (log (tan x)) 2)))) #s(literal 1 binary64)) (tan.f64 x)) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps (/.f64 (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) #s(literal 1 binary64)) (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) #s(literal 2 binary64)))) eps))
	99.4%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps (/.f64 (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) #s(literal 1 binary64)) (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 (+.f64 (PI.f64) x)) #s(literal 2 binary64)))) eps))
	99.3%	#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))
✓	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))) #s(literal 2 binary64)))) eps))
	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 #s(approx (+ x (PI)) x) (PI.f64))) #s(literal 2 binary64)))) eps))
✓	99.3%	#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))
✓	52.3%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))))) eps))
	3.5%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 (+.f64 eps (PI.f64)) (PI.f64))))
✓	98.4%	#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))
✓	98.4%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (*.f64 x x) eps eps)))
	98.4%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)))
✓	98.4%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps)))

Compiler

Compiled 1 060 to 757 computations (28.6% saved)

regimes36.0ms (0.6%)

Memory

24.8MiB live, 69.9MiB allocated; 6ms collecting garbage

Counts

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

Outputs

#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (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:

14.0ms	x
10.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
9.0ms	eps

Results

Accuracy	Segments	Branch
99.5%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
99.5%	1	`x`
99.5%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes28.0ms (0.4%)

Memory

-8.2MiB live, 45.4MiB allocated; 5ms collecting garbage

Counts

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.4%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
99.4%	1	`x`
99.4%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes40.0ms (0.6%)

Memory

-15.3MiB live, 67.9MiB allocated; 17ms collecting garbage

Counts

32 → 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)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (*.f64 x x) eps eps)))
#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) (fma.f64 (*.f64 eps eps) x eps)))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(approx (* (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 1 (neg (pow (tan x) 2)))) eps) (fma.f64 (*.f64 eps eps) x 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 x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (.f64 #s(approx (+ ( eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 1 (neg (pow (tan x) 2)))) (fma.f64 (+.f64 eps x) x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) eps) eps #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 (+.f64 eps (PI.f64)) (PI.f64))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (.f64 (fma.f64 eps (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) #s(literal 1 binary64)) (tan.f64 x)) #s(approx (- 1 (neg (pow (tan x) 2))) #s(literal 1 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))
(-.f64 (tan.f64 (+.f64 x eps)) #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)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 17/315 (* x x)) 2/15) #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 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.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 (+.f64 #s(approx (+ x (PI)) x) (PI.f64))) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))))) eps))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 17/315 (* x x)) 2/15) #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 (-.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) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (.f64 (fma.f64 eps #s(approx ( (- 1 (neg (pow (tan x) 2))) (tan x)) x) (-.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 x (PI.f64)) (PI.f64))) #s(literal 2 binary64)))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) #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)))
(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) #s(approx (tan x) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) #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)))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x (PI.f64))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 (.f64 #s(approx (- 1 (neg (exp (* (log (tan x)) 2)))) #s(literal 1 binary64)) (tan.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 eps (/.f64 (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) #s(literal 1 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 (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 (*.f64 #s(approx (- 1 (neg (exp (* (log (tan x)) 2)))) #s(literal 1 binary64)) (tan.f64 x)) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))

Calls

3 calls:

20.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
10.0ms	eps
8.0ms	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)

regimes32.0ms (0.5%)

Memory

-0.6MiB live, 44.0MiB allocated; 10ms collecting garbage

Counts

30 → 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)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (*.f64 x x) eps eps)))
#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) (fma.f64 (*.f64 eps eps) x eps)))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(approx (* (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 1 (neg (pow (tan x) 2)))) eps) (fma.f64 (*.f64 eps eps) x 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 x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (.f64 #s(approx (+ ( eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 1 (neg (pow (tan x) 2)))) (fma.f64 (+.f64 eps x) x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) eps) eps #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 (+.f64 eps (PI.f64)) (PI.f64))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (.f64 (fma.f64 eps (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) #s(literal 1 binary64)) (tan.f64 x)) #s(approx (- 1 (neg (pow (tan x) 2))) #s(literal 1 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))
(-.f64 (tan.f64 (+.f64 x eps)) #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)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 17/315 (* x x)) 2/15) #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 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.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 (+.f64 #s(approx (+ x (PI)) x) (PI.f64))) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))))) eps))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 17/315 (* x x)) 2/15) #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 (-.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) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (.f64 (fma.f64 eps #s(approx ( (- 1 (neg (pow (tan x) 2))) (tan x)) x) (-.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 x (PI.f64)) (PI.f64))) #s(literal 2 binary64)))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) #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)))
(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) #s(approx (tan x) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) #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)))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x (PI.f64))))

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

Calls

3 calls:

16.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
7.0ms	eps
7.0ms	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)

regimes19.0ms (0.3%)

Memory

25.0MiB live, 25.0MiB allocated; 0ms collecting garbage

Counts

24 → 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)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (*.f64 x x) eps eps)))
#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) (fma.f64 (*.f64 eps eps) x eps)))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(approx (* (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 1 (neg (pow (tan x) 2)))) eps) (fma.f64 (*.f64 eps eps) x 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 x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (.f64 #s(approx (+ ( eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 1 (neg (pow (tan x) 2)))) (fma.f64 (+.f64 eps x) x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) eps) eps #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 (+.f64 eps (PI.f64)) (PI.f64))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (.f64 (fma.f64 eps (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) #s(literal 1 binary64)) (tan.f64 x)) #s(approx (- 1 (neg (pow (tan x) 2))) #s(literal 1 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))
(-.f64 (tan.f64 (+.f64 x eps)) #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)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 17/315 (* x x)) 2/15) #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 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.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 (+.f64 #s(approx (+ x (PI)) x) (PI.f64))) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))))) eps))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 17/315 (* x x)) 2/15) #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 (-.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) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (.f64 (fma.f64 eps #s(approx ( (- 1 (neg (pow (tan x) 2))) (tan x)) x) (-.f64 #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 x) #s(literal 2 binary64)))) eps))

Calls

3 calls:

6.0ms	eps
6.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
6.0ms	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)

regimes29.0ms (0.5%)

Memory

-36.6MiB live, 17.0MiB allocated; 19ms 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)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (*.f64 x x) eps eps)))
#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) (fma.f64 (*.f64 eps eps) x eps)))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(approx (* (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 1 (neg (pow (tan x) 2)))) eps) (fma.f64 (*.f64 eps eps) x 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 x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (.f64 #s(approx (+ ( eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 1 (neg (pow (tan x) 2)))) (fma.f64 (+.f64 eps x) x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ (+ x (PI)) eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) eps) eps #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 (+.f64 eps (PI.f64)) (PI.f64))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (.f64 (fma.f64 eps (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) #s(literal 1 binary64)) (tan.f64 x)) #s(approx (- 1 (neg (pow (tan x) 2))) #s(literal 1 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 (PI)) eps)) (tan x)) #s(approx (tan eps) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (*.f64 eps eps) #s(literal 1/3 binary64)) eps) eps #s(literal 1 binary64)) eps)))

Calls

3 calls:

21.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
4.0ms	eps
4.0ms	x

Results

Accuracy	Segments	Branch
98.4%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.4%	1	`x`
98.4%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes8.0ms (0.1%)

Memory

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

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* 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)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (*.f64 x x) eps eps)))
#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) (fma.f64 (*.f64 eps eps) x eps)))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(approx (* (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 1 (neg (pow (tan x) 2)))) eps) (fma.f64 (*.f64 eps eps) x 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 x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (.f64 #s(approx (+ ( eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 1 (neg (pow (tan x) 2)))) (fma.f64 (+.f64 eps x) x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)))

Outputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #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
98.4%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.4%	1	`x`
98.4%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes7.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB 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)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (*.f64 x x) eps eps)))
#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) (fma.f64 (*.f64 eps eps) x eps)))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(approx (* (+ (* eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 1 (neg (pow (tan x) 2)))) eps) (fma.f64 (*.f64 eps eps) x 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 x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (.f64 #s(approx (+ ( eps (* (- 1 (neg (pow (tan x) 2))) (tan x))) (- 1 (neg (pow (tan x) 2)))) (fma.f64 (+.f64 eps x) x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps)))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.4%	1	`x`
98.4%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.4%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes6.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated; 0ms collecting garbage

Accuracy

Total -0.1b remaining (-7%)

Threshold costs -0.1b (-7%)

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

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

Results

Accuracy	Segments	Branch
98.4%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.4%	1	`x`
98.4%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

derivations284.0ms (4.5%)

Memory

-26.1MiB live, 158.4MiB allocated; 77ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 141 to 97 computations (31.2% saved)

preprocess81.0ms (1.3%)

Memory: 2.7MiB live, 146.1MiB allocated; 16ms collecting garbage
Compiler: Compiled 175 to 127 computations (27.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze57.0ms (0.9%)

sample4.3s (67.6%)

preprocess29.0ms (0.5%)

series12.0ms (0.2%)

rewrite177.0ms (2.8%)

eval9.0ms (0.1%)

prune7.0ms (0.1%)

series73.0ms (1.1%)

rewrite200.0ms (3.2%)

eval87.0ms (1.4%)

prune28.0ms (0.4%)

series55.0ms (0.9%)

rewrite237.0ms (3.7%)

eval41.0ms (0.6%)

prune20.0ms (0.3%)

series150.0ms (2.4%)

rewrite211.0ms (3.3%)

eval60.0ms (1%)

prune28.0ms (0.4%)

regimes36.0ms (0.6%)

regimes28.0ms (0.4%)

regimes40.0ms (0.6%)

regimes32.0ms (0.5%)

regimes19.0ms (0.3%)

regimes29.0ms (0.5%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

derivations284.0ms (4.5%)

preprocess81.0ms (1.3%)

end0.0ms (0%)

Profiling