Metrics for 2tan (problem 3.3.2)

start0.0ms (0%)

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

analyze29.0ms (0.4%)

Memory

30.9MiB live, 30.9MiB allocated; 0ms 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)

sample4.4s (59.6%)

Memory

70.8MiB live, 4 933.5MiB allocated; 1.5s collecting garbage

Samples

2.4s	25 991×	0	invalid
688.0ms	5 572×	1	valid
201.0ms	2 684×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.9s

ival-tan: 668.0ms (36.1% of total)

ival-fabs: 249.0ms (13.4% of total)

ival-add!: 238.0ms (12.9% of total)

ival-mult!: 183.0ms (9.9% of total)

adjust: 179.0ms (9.7% of total)

ival-<: 157.0ms (8.5% of total)

ival-sub!: 96.0ms (5.2% of total)

ival-and: 67.0ms (3.6% of total)

ival-assert: 15.0ms (0.8% of total)

Bogosity

preprocess55.0ms (0.8%)

Memory

-11.3MiB live, 34.0MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	50
1	40	50
2	67	50
3	114	50
4	189	50
5	330	50
6	660	50
7	1513	50
8	2903	50
9	4334	50

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.3%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Compiler

Compiled 12 to 12 computations (0% saved)

series12.0ms (0.2%)

Memory

13.2MiB live, 13.2MiB 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	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))
2.0ms	eps	@	-inf	((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) x eps (tan x))

rewrite205.0ms (2.8%)

Memory

14.8MiB live, 160.9MiB allocated; 78ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	201	1262
0	206	1117
1	1269	904
0	8326	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 (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 (.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 (-.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: 14.2MiB live, 14.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 102 to 415 computations (62.3% saved)

prune11.0ms (0.1%)

Memory

-33.2MiB live, 12.6MiB allocated; 4ms collecting garbage

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	72	12	84
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	13	85

Accuracy

100.0%

Counts

85 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.5%	(/.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)))
	61.3%	(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	61.5%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
	6.7%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))))
▶	6.6%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x (PI.f64))))
✓	61.3%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	60.3%	(-.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)))
	60.2%	(-.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)))
▶	60.7%	(-.f64 (tan.f64 #s(approx (+ x eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))) (tan.f64 x))
▶	99.6%	#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))
	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))
▶	99.1%	#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))
▶	97.7%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))

Compiler

Compiled 408 to 344 computations (15.7% saved)

series80.0ms (1.1%)

Memory

41.3MiB live, 86.1MiB allocated; 4ms collecting garbage

Counts

51 → 241

Calls

Call 1

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

Outputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow eps 2) x))))
#s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (pow eps 2))))))
#s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* x (+ (* x (+ (* 4/3 (* (pow eps 2) x)) (* eps (+ 1 (* 4/3 (pow eps 2)))))) (pow eps 2))))))
#s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* 1/3 (pow eps 2)))))
#s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* eps x)))))
#s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2))))))))))
#s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2)))))))))))
#s(approx (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (+ 1 (* 1/3 (pow eps 2)))))
#s(approx (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* eps x)))))
#s(approx (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* 4/3 (* (pow eps 2) x))))))))
#s(approx (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2))))))))))
#s(approx (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) #s(hole binary64 (* 1/3 eps)))
#s(approx (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) #s(hole binary64 (- x (* -1/3 eps))))
#s(approx (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) #s(hole binary64 (- (* x (+ 1 (* 4/3 (* eps x)))) (* -1/3 eps))))
#s(approx (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) #s(hole binary64 (- (* x (+ 1 (* x (- (* 4/3 x) (* -4/3 eps))))) (* -1/3 eps))))
#s(approx (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) #s(hole binary64 (* 1/3 eps)))
#s(approx (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) #s(hole binary64 (- (* 4/3 (* eps (pow x 2))) (* -1/3 eps))))
#s(approx (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) #s(hole binary64 (- (* (pow x 2) (- (* 17/9 (* eps (pow x 2))) (* -4/3 eps))) (* -1/3 eps))))
#s(approx (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* 248/135 (* eps (pow x 2))) (* -17/9 eps))) (* -4/3 eps))) (* -1/3 eps))))
#s(approx (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps) #s(hole binary64 (* -1/3 eps)))
#s(approx (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps) #s(hole binary64 (+ (* -4/3 (* eps (pow x 2))) (* -1/3 eps))))
#s(approx (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps) #s(hole binary64 (+ (* -1/3 eps) (* (pow x 2) (+ (* -17/9 (* eps (pow x 2))) (* -4/3 eps))))))
#s(approx (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps) #s(hole binary64 (+ (* -1/3 eps) (* (pow x 2) (+ (* -4/3 eps) (* (pow x 2) (+ (* -17/9 eps) (* -248/135 (* eps (pow x 2))))))))))
#s(approx (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) #s(hole binary64 -1/3))
#s(approx (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) #s(hole binary64 (- (* -4/3 (pow x 2)) 1/3)))
#s(approx (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) #s(hole binary64 (- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/3)))
#s(approx (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/3)))
#s(approx (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) #s(hole binary64 -1/2))
#s(approx (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) #s(hole binary64 (- (* -4/3 (pow x 2)) 1/2)))
#s(approx (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) #s(hole binary64 (- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/2)))
#s(approx (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/2)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 -1/2))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* -1/3 (pow x 2)) 1/2)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/2)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/2)))
#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 (* (pow (tan x) 2) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/9 (pow x 2))))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/9 (* 17/270 (pow x 2))))))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/9 (* (pow x 2) (+ 17/270 (* 31/945 (pow x 2))))))))))
#s(approx (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) #s(hole binary64 (* (pow x 2) (- (* -5/3 (pow x 2)) 1))))
#s(approx (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -77/45 (pow x 2)) 5/3)) 1))))
#s(approx (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -88/63 (pow x 2)) 77/45)) 5/3)) 1))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (pow x 2)))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (* (pow x 2) (+ 1 (* 5/3 (pow x 2))))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 5/3 (* 77/45 (pow x 2))))))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 5/3 (* (pow x 2) (+ 77/45 (* 88/63 (pow x 2))))))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (pow x 2)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 1))
#s(approx (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (+ 1 (* 2 (pow x 2)))))
#s(approx (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2 (* 7/3 (pow x 2)))))))
#s(approx (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2 (* (pow x 2) (+ 7/3 (* 94/45 (pow x 2)))))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 1))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) #s(hole binary64 (* -1 x)))
#s(approx (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) #s(hole binary64 (* x (- (* -4/3 (pow x 2)) 1))))
#s(approx (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) #s(hole binary64 (* x (- (* (pow x 2) (- (* -17/15 (pow x 2)) 4/3)) 1))))
#s(approx (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -248/315 (pow x 2)) 17/15)) 4/3)) 1))))
#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 (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)) (tan (+ x (PI)))) #s(hole binary64 (- (/ (sin eps) (cos eps)) (/ (sin (PI)) (cos (PI))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (+ (* x (- (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (+ (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* x (- (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (tan (+ x (PI))) #s(hole binary64 (/ (sin (PI)) (cos (PI)))))
#s(approx (tan (+ x (PI))) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ x (PI))) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ x (PI))) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))))) (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI))))))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (+ x (PI)) #s(hole binary64 (PI)))
#s(approx (+ x (PI)) #s(hole binary64 (+ x (PI))))
#s(approx (* (+ (/ eps x) 1) x) #s(hole binary64 eps))
#s(approx (* (+ (/ eps x) 1) x) #s(hole binary64 (+ eps x)))
#s(approx (+ (/ eps x) 1) #s(hole binary64 (/ eps x)))
#s(approx (+ (/ eps x) 1) #s(hole binary64 (/ (+ eps x) x)))
#s(approx (/ eps x) #s(hole binary64 (/ eps x)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
#s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 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)) (* eps (- (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* eps (- (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (* eps (- (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (+ 1 (* eps (- (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (* eps (- (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))))))))))
#s(approx (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 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)) (* eps (- (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
#s(approx (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) #s(hole binary64 (* -1 (* eps (- (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
#s(approx (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps) #s(hole binary64 (* eps (- (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) #s(hole binary64 (- (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))))))
#s(approx (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) #s(hole binary64 (- (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))))))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (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 (* (pow (tan x) 2) 1/6) #s(hole binary64 (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) #s(hole binary64 (* -1 (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) #s(hole binary64 (* -1 (/ (* (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 (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)) (tan (+ x (PI)))) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (+ eps x)) (cos (+ eps x)))))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (tan (+ x (PI))) #s(hole binary64 (/ (sin (+ x (PI))) (cos (+ x (PI))))))
#s(approx (+ x (PI)) #s(hole binary64 x))
#s(approx (+ x (PI)) #s(hole binary64 (* x (+ 1 (/ (PI) x)))))
#s(approx (* (+ (/ eps x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (/ eps x) 1) x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (+ (/ eps x) 1) #s(hole binary64 1))
#s(approx (+ (/ eps x) 1) #s(hole binary64 (+ 1 (/ eps x))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x)))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (tan (+ x (PI))) #s(hole binary64 (/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x))))))
#s(approx (+ x (PI)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (PI) x)) 1)))))
#s(approx (* (+ (/ eps x) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 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 (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (+ (* eps (+ (* eps (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 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 (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* eps (+ (* eps (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 1))
#s(approx (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (+ 1 (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))
#s(approx (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (+ 1 (* eps (+ (* eps (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))))))
#s(approx (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 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 (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) #s(hole binary64 (+ (* eps (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))))
#s(approx (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) #s(hole binary64 (* eps (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (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)) (tan (+ x (PI)))) #s(hole binary64 (- (/ (sin x) (cos x)) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* (pow eps 3) (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))
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Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	eps	@	0	((- (tan (+ x eps)) (tan x)) (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps) (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (- 1 (neg (pow (tan x) 2))) 1 (neg (pow (tan x) 2)) (pow (tan x) 2) (tan x) x 2 -1/2 (* (pow (tan x) 2) 1/6) 1/6 (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (- 1/2 (* 1/2 (cos (* 2 x)))) 1/2 (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x)))) eps (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (* (- 1 (neg (pow (tan x) 2))) (sin x)) (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 (PI)))) (tan (+ x eps)) (+ x eps) (tan (+ x (PI))) (+ x (PI)) (PI) (- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (* (+ (/ eps x) 1) x) (+ (/ eps x) 1) (/ eps x))
13.0ms	x	@	inf	((- (tan (+ x eps)) (tan x)) (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps) (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (- 1 (neg (pow (tan x) 2))) 1 (neg (pow (tan x) 2)) (pow (tan x) 2) (tan x) x 2 -1/2 (* (pow (tan x) 2) 1/6) 1/6 (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (- 1/2 (* 1/2 (cos (* 2 x)))) 1/2 (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x)))) eps (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (* (- 1 (neg (pow (tan x) 2))) (sin x)) (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 (PI)))) (tan (+ x eps)) (+ x eps) (tan (+ x (PI))) (+ x (PI)) (PI) (- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (* (+ (/ eps x) 1) x) (+ (/ eps x) 1) (/ eps x))
13.0ms	x	@	-inf	((- (tan (+ x eps)) (tan x)) (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps) (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (- 1 (neg (pow (tan x) 2))) 1 (neg (pow (tan x) 2)) (pow (tan x) 2) (tan x) x 2 -1/2 (* (pow (tan x) 2) 1/6) 1/6 (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (- 1/2 (* 1/2 (cos (* 2 x)))) 1/2 (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x)))) eps (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (* (- 1 (neg (pow (tan x) 2))) (sin x)) (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 (PI)))) (tan (+ x eps)) (+ x eps) (tan (+ x (PI))) (+ x (PI)) (PI) (- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (* (+ (/ eps x) 1) x) (+ (/ eps x) 1) (/ eps x))
10.0ms	x	@	0	((- (tan (+ x eps)) (tan x)) (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps) (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (- 1 (neg (pow (tan x) 2))) 1 (neg (pow (tan x) 2)) (pow (tan x) 2) (tan x) x 2 -1/2 (* (pow (tan x) 2) 1/6) 1/6 (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (- 1/2 (* 1/2 (cos (* 2 x)))) 1/2 (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x)))) eps (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (* (- 1 (neg (pow (tan x) 2))) (sin x)) (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 (PI)))) (tan (+ x eps)) (+ x eps) (tan (+ x (PI))) (+ x (PI)) (PI) (- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (* (+ (/ eps x) 1) x) (+ (/ eps x) 1) (/ eps x))
10.0ms	eps	@	inf	((- (tan (+ x eps)) (tan x)) (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps) (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (- 1 (neg (pow (tan x) 2))) 1 (neg (pow (tan x) 2)) (pow (tan x) 2) (tan x) x 2 -1/2 (* (pow (tan x) 2) 1/6) 1/6 (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (- 1/2 (* 1/2 (cos (* 2 x)))) 1/2 (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x)))) eps (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (* (- 1 (neg (pow (tan x) 2))) (sin x)) (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 (PI)))) (tan (+ x eps)) (+ x eps) (tan (+ x (PI))) (+ x (PI)) (PI) (- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (* (+ (/ eps x) 1) x) (+ (/ eps x) 1) (/ eps x))

rewrite226.0ms (3.1%)

Memory

-16.3MiB live, 216.9MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1040	13271
0	1121	11277
1	6441	11277
0	8669	10962

Stop Event

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

Counts

292 → 459

Calls

Call 1

Inputs
#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))
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#s(approx (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) #s(hole binary64 (- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/3)))
#s(approx (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/3)))
#s(approx (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) #s(hole binary64 -1/2))
#s(approx (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) #s(hole binary64 (- (* -4/3 (pow x 2)) 1/2)))
#s(approx (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) #s(hole binary64 (- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/2)))
#s(approx (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/2)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 -1/2))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* -1/3 (pow x 2)) 1/2)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/2)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/2)))
#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 (* (pow (tan x) 2) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/9 (pow x 2))))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/9 (* 17/270 (pow x 2))))))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/9 (* (pow x 2) (+ 17/270 (* 31/945 (pow x 2))))))))))
#s(approx (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) #s(hole binary64 (* (pow x 2) (- (* -5/3 (pow x 2)) 1))))
#s(approx (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -77/45 (pow x 2)) 5/3)) 1))))
#s(approx (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -88/63 (pow x 2)) 77/45)) 5/3)) 1))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (pow x 2)))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (* (pow x 2) (+ 1 (* 5/3 (pow x 2))))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 5/3 (* 77/45 (pow x 2))))))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 5/3 (* (pow x 2) (+ 77/45 (* 88/63 (pow x 2))))))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (pow x 2)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 1))
#s(approx (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (+ 1 (* 2 (pow x 2)))))
#s(approx (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2 (* 7/3 (pow x 2)))))))
#s(approx (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2 (* (pow x 2) (+ 7/3 (* 94/45 (pow x 2)))))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 1))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) #s(hole binary64 (* -1 x)))
#s(approx (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) #s(hole binary64 (* x (- (* -4/3 (pow x 2)) 1))))
#s(approx (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) #s(hole binary64 (* x (- (* (pow x 2) (- (* -17/15 (pow x 2)) 4/3)) 1))))
#s(approx (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -248/315 (pow x 2)) 17/15)) 4/3)) 1))))
#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 (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)) (tan (+ x (PI)))) #s(hole binary64 (- (/ (sin eps) (cos eps)) (/ (sin (PI)) (cos (PI))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (+ (* x (- (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (+ (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* x (- (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (tan (+ x (PI))) #s(hole binary64 (/ (sin (PI)) (cos (PI)))))
#s(approx (tan (+ x (PI))) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ x (PI))) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ x (PI))) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))))) (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI))))))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (+ x (PI)) #s(hole binary64 (PI)))
#s(approx (+ x (PI)) #s(hole binary64 (+ x (PI))))
#s(approx (* (+ (/ eps x) 1) x) #s(hole binary64 eps))
#s(approx (* (+ (/ eps x) 1) x) #s(hole binary64 (+ eps x)))
#s(approx (+ (/ eps x) 1) #s(hole binary64 (/ eps x)))
#s(approx (+ (/ eps x) 1) #s(hole binary64 (/ (+ eps x) x)))
#s(approx (/ eps x) #s(hole binary64 (/ eps x)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
#s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 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)) (* eps (- (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* eps (- (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (* eps (- (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))))))) (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (+ 1 (* eps (- (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (* eps (- (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))))))))))
#s(approx (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 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)) (* eps (- (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
#s(approx (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) #s(hole binary64 (* -1 (* eps (- (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
#s(approx (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps) #s(hole binary64 (* eps (- (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))))
#s(approx (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) #s(hole binary64 (- (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))))))
#s(approx (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) #s(hole binary64 (- (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))))))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (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 (* (pow (tan x) 2) 1/6) #s(hole binary64 (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) #s(hole binary64 (* -1 (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) #s(hole binary64 (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) #s(hole binary64 (* -1 (/ (* (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 (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)) (tan (+ x (PI)))) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (+ eps x)) (cos (+ eps x)))))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (tan (+ x (PI))) #s(hole binary64 (/ (sin (+ x (PI))) (cos (+ x (PI))))))
#s(approx (+ x (PI)) #s(hole binary64 x))
#s(approx (+ x (PI)) #s(hole binary64 (* x (+ 1 (/ (PI) x)))))
#s(approx (* (+ (/ eps x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (/ eps x) 1) x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (+ (/ eps x) 1) #s(hole binary64 1))
#s(approx (+ (/ eps x) 1) #s(hole binary64 (+ 1 (/ eps x))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x)))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (tan (+ x (PI))) #s(hole binary64 (/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x))))))
#s(approx (+ x (PI)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (PI) x)) 1)))))
#s(approx (* (+ (/ eps x) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 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 (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (+ (* eps (+ (* eps (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 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 (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* eps (+ (* eps (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 1))
#s(approx (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (+ 1 (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))
#s(approx (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (+ 1 (* eps (+ (* eps (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))))))
#s(approx (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 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 (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) #s(hole binary64 (+ (* eps (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))))
#s(approx (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) #s(hole binary64 (* eps (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (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)) (tan (+ x (PI)))) #s(hole binary64 (- (/ (sin x) (cos x)) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* (pow eps 3) (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))
#s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* (pow eps 3) (- (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))
#s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* (pow eps 3) (- (+ (/ 1 (pow eps 2)) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x))) (+ (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2)))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))
#s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (* (pow eps 2) (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))
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#s(approx (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) #s(hole binary64 (* eps (- (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))
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#s(approx (tan eps) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (* (+ (/ eps x) 1) x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (+ (/ eps x) 1) #s(hole binary64 (* eps (+ (/ 1 eps) (/ 1 x)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))))
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#s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (* -1 (* (pow eps 2) (- (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
#s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (- (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x)))))))
#s(approx (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (- (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (* -1 (/ (+ (* -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))) eps))))))
#s(approx (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (* -1 (* (pow eps 2) (- (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
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#s(approx (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x)))) (* -1 (- (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))))))))))
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#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (* (+ (/ eps x) 1) x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))

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

eval99.0ms (1.4%)

Memory: 17.4MiB live, 149.4MiB allocated; 25ms collecting garbage
Compiler: Compiled 16 126 to 5 162 computations (68% saved)

prune42.0ms (0.6%)

Memory

2.4MiB live, 58.8MiB allocated; 10ms collecting garbage

Pruning

34 alts after pruning (30 fresh and 4 done)

	Pruned	Kept	Total
New	597	26	623
Fresh	3	4	7
Picked	2	3	5
Done	0	1	1
Total	602	34	636

Accuracy

100.0%

Counts

636 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.5%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
	3.8%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 eps (PI.f64)))) (tan.f64 (+.f64 x (PI.f64))))
	6.7%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))))
✓	6.6%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x (PI.f64))))
✓	61.3%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	7.9%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ x (PI))) #s(literal 0 binary64)))
	60.3%	(-.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)))
▶	6.6%	(-.f64 (tan.f64 #s(approx (+ x eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))) (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))))
	99.6%	#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) (.f64 (-.f64 (fma.f64 (-.f64 (.f64 (neg.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (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)))) #s(literal 1/6 binary64))) eps) (neg.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)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
▶	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (neg.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (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)))) #s(literal 1/6 binary64))) eps) (neg.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 (neg.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (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)))) #s(literal 1/6 binary64))) eps) (neg.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 (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 (.f64 (neg.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (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)))) #s(literal 1/6 binary64))) eps) (neg.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)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 (-.f64 (neg.f64 (.f64 (+.f64 (+.f64 #s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(literal -1/2 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))
	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 (-.f64 #s(approx (neg ( (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (.f64 #s(literal 1/3 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))
	99.0%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 #s(approx (- (neg ( (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x (.f64 #s(literal 4/3 binary64) eps)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/3 binary64) eps))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
	99.1%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 #s(approx (- (neg ( (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (-.f64 x (*.f64 #s(literal -1/3 binary64) eps))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
	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))
	99.1%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) #s(literal 2 binary64)))) eps))
▶	99.1%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) #s(literal 2 binary64)))) eps))
	99.1%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (PI.f64) x)) #s(literal 2 binary64)))) eps))
✓	99.1%	#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))
	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 #s(approx (tan (+ x (PI))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)))) eps))
	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (tan x) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))))) eps))
	97.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))) eps))
	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) x eps) x (.f64 (*.f64 eps eps) #s(literal 1/3 binary64))) #s(literal 1 binary64))) eps))
	97.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) (.f64 eps x)) #s(literal 1 binary64))) eps))
	99.1%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) eps))
	47.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (.f64 (.f64 eps eps) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) eps)) (neg.f64 (.f64 (sin.f64 x) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (cos.f64 x))))) eps)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))))))) eps))
	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 x x #s(literal 1 binary64))) eps))
	3.2%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 eps (PI.f64))))
✓	97.7%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
▶	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) x) eps (.f64 eps eps)) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))))
	31.9%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (.f64 (.f64 (.f64 eps eps) eps) (-.f64 (-.f64 (+.f64 (fma.f64 (sin.f64 x) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps)) (fma.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (.f64 eps eps) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (.f64 eps eps))) #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64)))))))
	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) eps) eps) (*.f64 x x) eps)))
▶	97.7%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps))

Compiler

Compiled 2 682 to 1 878 computations (30% saved)

series260.0ms (3.6%)

Memory

-27.1MiB live, 215.6MiB allocated; 43ms collecting garbage

Counts

65 → 378

Calls

Call 1

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

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)))))
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#s(approx (/ (- (* (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1)) (* (neg (pow (tan x) 2)) (neg (pow (tan x) 2)))) (+ (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2)))) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* x (- (* 2 eps) eps))))))
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#s(approx (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) #s(hole binary64 (+ x (* 1/3 eps))))
#s(approx (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) #s(hole binary64 (+ (* 1/3 eps) (* x (+ 1 (* 4/3 (* eps x)))))))
#s(approx (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) #s(hole binary64 (+ (* 1/3 eps) (* x (+ 1 (* x (+ (* 4/3 eps) (* 4/3 x))))))))
#s(approx (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) #s(hole binary64 (* 1/3 eps)))
#s(approx (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) #s(hole binary64 (+ (* 1/3 eps) (* 4/3 (* eps (pow x 2))))))
#s(approx (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) #s(hole binary64 (+ (* 1/3 eps) (* (pow x 2) (+ (* 4/3 eps) (* 17/9 (* eps (pow x 2))))))))
#s(approx (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) #s(hole binary64 (+ (* 1/3 eps) (* (pow x 2) (+ (* 4/3 eps) (* (pow x 2) (+ (* 248/135 (* eps (pow x 2))) (* 17/9 eps))))))))
#s(approx (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) #s(hole binary64 1/3))
#s(approx (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) #s(hole binary64 (+ 1/3 (* 4/3 (pow x 2)))))
#s(approx (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 4/3 (* 17/9 (pow x 2)))))))
#s(approx (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/9 (* 248/135 (pow x 2)))))))))
#s(approx (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) #s(hole binary64 -1/3))
#s(approx (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) #s(hole binary64 (- (* -4/3 (pow x 2)) 1/3)))
#s(approx (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) #s(hole binary64 (- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/3)))
#s(approx (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/3)))
#s(approx (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) #s(hole binary64 -1/2))
#s(approx (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) #s(hole binary64 (- (* -4/3 (pow x 2)) 1/2)))
#s(approx (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) #s(hole binary64 (- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/2)))
#s(approx (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/2)))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (pow x 2)))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 1/2))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos (+ x x)) #s(hole binary64 1))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 -1))
#s(approx (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (- (* -2 (pow x 2)) 1)))
#s(approx (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (- (* (pow x 2) (- (* -7/3 (pow x 2)) 2)) 1)))
#s(approx (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -94/45 (pow x 2)) 7/3)) 2)) 1)))
#s(approx (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 1))
#s(approx (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (+ 1 (* 2 (pow x 2)))))
#s(approx (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2 (* 7/3 (pow x 2)))))))
#s(approx (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2 (* (pow x 2) (+ 7/3 (* 94/45 (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 (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 1))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 -1/2))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* -1/3 (pow x 2)) 1/2)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/2)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/2)))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/9 (pow x 2))))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/9 (* 17/270 (pow x 2))))))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/9 (* (pow x 2) (+ 17/270 (* 31/945 (pow x 2))))))))))
#s(approx (neg (* (- 1 (neg (pow (tan x) 2))) (tan x))) #s(hole binary64 (* -1 x)))
#s(approx (neg (* (- 1 (neg (pow (tan x) 2))) (tan x))) #s(hole binary64 (* x (- (* -4/3 (pow x 2)) 1))))
#s(approx (neg (* (- 1 (neg (pow (tan x) 2))) (tan x))) #s(hole binary64 (* x (- (* (pow x 2) (- (* -17/15 (pow x 2)) 4/3)) 1))))
#s(approx (neg (* (- 1 (neg (pow (tan x) 2))) (tan x))) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -248/315 (pow x 2)) 17/15)) 4/3)) 1))))
#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 (* (neg (pow (tan x) 2)) (neg (pow (tan x) 2))) #s(hole binary64 (pow x 4)))
#s(approx (* (neg (pow (tan x) 2)) (neg (pow (tan x) 2))) #s(hole binary64 (* (pow x 4) (+ 1 (* 4/3 (pow x 2))))))
#s(approx (* (neg (pow (tan x) 2)) (neg (pow (tan x) 2))) #s(hole binary64 (* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* 6/5 (pow x 2))))))))
#s(approx (* (neg (pow (tan x) 2)) (neg (pow (tan x) 2))) #s(hole binary64 (* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 6/5 (* 848/945 (pow x 2))))))))))
#s(approx (+ (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* 1/3 (pow eps 2)))))
#s(approx (+ (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* eps x)))))
#s(approx (+ (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (- (* 4/3 (pow eps 2)) 1))))))))
#s(approx (+ (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (- (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2))) 1))))))))
#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 (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow eps 2) x))))
#s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (pow eps 2))))))
#s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* x (+ (* x (+ (* 4/3 (* (pow eps 2) x)) (* eps (+ 1 (* 4/3 (pow eps 2)))))) (pow eps 2))))))
#s(approx (+ (* (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) x) (* (+ (* (* eps eps) 1/3) 1) eps)) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (+ (* (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) x) (* (+ (* (* eps eps) 1/3) 1) eps)) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow eps 2) x))))
#s(approx (+ (* (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) x) (* (+ (* (* eps eps) 1/3) 1) eps)) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (pow eps 2))))))
#s(approx (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) #s(hole binary64 (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (pow eps 2))))
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Calls

6 calls:

Time	Variable		Point	Expression
69.0ms	x	@	0	((- (tan (+ x eps)) (tan x)) (* (/ (- (* (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1)) (* (neg (pow (tan x) 2)) (neg (pow (tan x) 2)))) (+ (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2)))) eps) (/ (- (* (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan 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x) 2))) (tan x)))) eps) 1) (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1)) (* (neg (pow (tan x) 2)) (neg (pow (tan x) 2)))) (* (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1)) (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow 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x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) (- 1/2 (* (cos (+ x x)) 1/2)) 1/2 (* (cos (+ x x)) 1/2) (cos (+ x x)) (+ x x) x (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2))) (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1 (neg (pow (tan x) 2))) 1 (neg (pow (tan x) 2)) (pow (tan x) 2) (tan x) 2 (+ (* (cos (+ x x)) 1/2) 1/2) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) -1/2 (* (pow (tan x) 2) 1/6) 1/6 eps (neg (* (- 1 (neg (pow (tan x) 2))) (tan x))) (* (- 1 (neg (pow (tan x) 2))) (tan x)) (* (neg (pow (tan x) 2)) (neg (pow (tan x) 2))) (+ (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (- (tan (+ x eps)) (tan x)) (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (+ (* (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) x) (* (+ (* (* eps eps) 1/3) 1) eps)) (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) (* (+ (* 4/3 (* eps eps)) 1) x) (+ (* 4/3 (* eps eps)) 1) 4/3 (* eps eps) (* (+ (* (* eps eps) 1/3) 1) eps) (+ (* (* eps eps) 1/3) 1) 1/3 (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan (+ (+ (PI) x) (PI))) 2))) eps) (- 1 (neg (pow (tan (+ (+ (PI) x) (PI))) 2))) (neg (pow (tan (+ (+ (PI) x) (PI))) 2)) (pow (tan (+ (+ (PI) x) (PI))) 2) (tan (+ (+ (PI) x) (PI))) (+ (+ (PI) x) (PI)) (+ (PI) x) (PI) (- (tan (+ x eps)) (tan (+ (+ (+ (PI) x) (PI)) (PI)))) (tan (+ x eps)) (+ x eps) (* (+ (/ eps x) 1) x) (+ (/ eps x) 1) (/ eps x) (tan (+ (+ (+ (PI) x) (PI)) (PI))) (+ (+ (+ (PI) x) (PI)) (PI)))
52.0ms	x	@	-inf	((- (tan (+ x eps)) (tan x)) (* (/ (- (* (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1)) (* (neg (pow (tan x) 2)) (neg (pow (tan x) 2)))) (+ (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2)))) eps) (/ (- (* (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow 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eps x) (tan (+ (+ (+ (PI) x) (PI)) (PI))) (+ (+ (+ (PI) x) (PI)) (PI)))

rewrite338.0ms (4.6%)

Memory

5.2MiB live, 330.6MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1784	44031
0	1898	36975
0	8230	36316

Stop Event

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

Counts

443 → 536

Calls

Call 1

Inputs
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#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (pow x 2)))
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#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 1/2))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos (+ x x)) #s(hole binary64 1))
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#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 -1))
#s(approx (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (- (* -2 (pow x 2)) 1)))
#s(approx (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2))) #s(hole binary64 (- (* (pow x 2) (- (* -7/3 (pow x 2)) 2)) 1)))
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#s(approx (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 1))
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#s(approx (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2 (* 7/3 (pow x 2)))))))
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#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))))
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#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 (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 1))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 -1/2))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* -1/3 (pow x 2)) 1/2)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/2)))
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#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/9 (pow x 2))))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/9 (* 17/270 (pow x 2))))))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/9 (* (pow x 2) (+ 17/270 (* 31/945 (pow x 2))))))))))
#s(approx (neg (* (- 1 (neg (pow (tan x) 2))) (tan x))) #s(hole binary64 (* -1 x)))
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#s(approx (neg (* (- 1 (neg (pow (tan x) 2))) (tan x))) #s(hole binary64 (* x (- (* (pow x 2) (- (* -17/15 (pow x 2)) 4/3)) 1))))
#s(approx (neg (* (- 1 (neg (pow (tan x) 2))) (tan x))) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -248/315 (pow x 2)) 17/15)) 4/3)) 1))))
#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 (* (neg (pow (tan x) 2)) (neg (pow (tan x) 2))) #s(hole binary64 (pow x 4)))
#s(approx (* (neg (pow (tan x) 2)) (neg (pow (tan x) 2))) #s(hole binary64 (* (pow x 4) (+ 1 (* 4/3 (pow x 2))))))
#s(approx (* (neg (pow (tan x) 2)) (neg (pow (tan x) 2))) #s(hole binary64 (* (pow x 4) (+ 1 (* (pow x 2) (+ 4/3 (* 6/5 (pow x 2))))))))
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#s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- (+ 1/6 (+ (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x)))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
#s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- (+ 1/6 (+ (* -1 (/ (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))) eps)) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))))))))
#s(approx (+ (* (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) x) (* (+ (* (* eps eps) 1/3) 1) eps)) #s(hole binary64 (* -1 (* (pow eps 3) (- (* -4/3 (pow x 2)) 1/3)))))
#s(approx (+ (* (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) x) (* (+ (* (* eps eps) 1/3) 1) eps)) #s(hole binary64 (* -1 (* (pow eps 3) (- (+ (* -4/3 (pow x 2)) (* -1 (/ x eps))) 1/3)))))
#s(approx (+ (* (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) x) (* (+ (* (* eps eps) 1/3) 1) eps)) #s(hole binary64 (* -1 (* (pow eps 3) (- (+ (* -4/3 (pow x 2)) (* -1 (/ (+ x (* -1 (/ (- (* -1 (pow x 2)) 1) eps))) eps))) 1/3)))))
#s(approx (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) #s(hole binary64 (* -1 (* (pow eps 3) (- (* -4/3 x) (/ 1 eps))))))
#s(approx (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -4/3 x) (* -1 (/ (+ 1 (/ x eps)) eps)))))))
#s(approx (- (tan (+ x eps)) (tan (+ (+ (+ (PI) x) (PI)) (PI)))) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin (+ x (+ (PI) (* 2 (PI))))) (cos (+ x (+ (PI) (* 2 (PI)))))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (* (+ (/ eps x) 1) x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))

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

eval192.0ms (2.6%)

Memory: 43.5MiB live, 316.4MiB allocated; 56ms collecting garbage
Compiler: Compiled 53 075 to 8 448 computations (84.1% saved)

prune67.0ms (0.9%)

Memory

-30.6MiB live, 73.3MiB allocated; 24ms collecting garbage

Pruning

39 alts after pruning (33 fresh and 6 done)

	Pruned	Kept	Total
New	1 183	11	1 194
Fresh	3	22	25
Picked	3	2	5
Done	0	4	4
Total	1 189	39	1 228

Accuracy

100.0%

Counts

1 228 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.5%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
	6.7%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))))
✓	6.6%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x (PI.f64))))
✓	61.3%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	7.9%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ x (PI))) #s(literal 0 binary64)))
	60.3%	(-.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)))
	6.6%	(-.f64 (tan.f64 #s(approx (+ x eps) (+.f64 eps x))) (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))))
▶	6.6%	(-.f64 (tan.f64 #s(approx (+ x eps) (.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))) (tan.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (-.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)))))))
▶	99.6%	#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) (.f64 (-.f64 (fma.f64 (-.f64 (.f64 (neg.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (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)))) #s(literal 1/6 binary64))) eps) (neg.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)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
	99.5%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(approx (- ( (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1)) (* (neg (pow (tan x) 2)) (neg (pow (tan x) 2)))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))) (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) (+.f64 (fma.f64 (-.f64 (.f64 (neg.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (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)))) #s(literal 1/6 binary64))) eps) (neg.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)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 (-.f64 (neg.f64 (.f64 (+.f64 (+.f64 #s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(literal -1/2 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))
	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 (-.f64 #s(approx (neg ( (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (.f64 #s(literal 1/3 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))
	99.0%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 #s(approx (- (neg ( (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x (.f64 #s(literal 4/3 binary64) eps)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/3 binary64) eps))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
	99.1%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 #s(approx (- (neg ( (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (-.f64 x (*.f64 #s(literal -1/3 binary64) eps))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
	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))
	99.1%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (PI.f64))) #s(literal 2 binary64)))) eps))
▶	99.1%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) #s(literal 2 binary64)))) eps))
✓	99.1%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) #s(literal 2 binary64)))) eps))
	99.1%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (PI.f64) x)) #s(literal 2 binary64)))) eps))
	99.1%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 #s(approx (+ (PI) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (PI.f64) x)))) (PI.f64))) #s(literal 2 binary64)))) eps))
	99.1%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 #s(approx (+ (+ (PI) x) (PI)) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) x)))))) #s(literal 2 binary64)))) eps))
✓	99.1%	#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))
	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 #s(approx (tan (+ x (PI))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)))) eps))
	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (tan x) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))))) eps))
	97.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))) eps))
	97.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) (.f64 eps x)) #s(literal 1 binary64))) eps))
	47.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (.f64 (.f64 eps eps) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) eps)) (neg.f64 (.f64 (sin.f64 x) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (cos.f64 x))))) eps)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))))))) eps))
▶	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
▶	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 x x #s(literal 1 binary64))) eps))
	3.2%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 eps (PI.f64))))
✓	97.7%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
	97.7%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 (.f64 #s(approx (+ ( 4/3 (* eps eps)) 1) (.f64 #s(literal 4/3 binary64) (.f64 eps eps))) x) eps (.f64 eps eps)) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))))
	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (fma.f64 #s(approx (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) (.f64 eps (+.f64 eps x))) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))))
	31.9%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (.f64 (.f64 (.f64 eps eps) eps) (-.f64 (-.f64 (+.f64 (fma.f64 (sin.f64 x) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps)) (fma.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (.f64 eps eps) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (.f64 eps eps))) #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64)))))))
	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(approx (+ (* (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) x) (* (+ (* (* eps eps) 1/3) 1) eps)) (.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps x (.f64 x x)))))))
	6.3%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(approx (+ (* (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) x) (* (+ (* (* eps eps) 1/3) 1) eps)) (.f64 eps (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (*.f64 eps eps))))))))
	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) eps) eps) (*.f64 x x) eps)))
	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (+.f64 eps (.f64 (.f64 x x) (+.f64 eps (.f64 #s(literal 2/3 binary64) (.f64 eps (*.f64 x x))))))))
✓	97.7%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps))

Compiler

Compiled 3 167 to 2 299 computations (27.4% saved)

series171.0ms (2.3%)

Memory

24.8MiB live, 209.3MiB allocated; 23ms collecting garbage

Counts

70 → 344

Calls

Call 1

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

Outputs
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (/ (sin eps) (cos eps)) (/ (sin (PI)) (cos (PI))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (+ (* x (- (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))))
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#s(approx (* (- (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
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#s(approx (- (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2)))))))))))
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#s(approx (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) #s(hole binary64 (* 1/3 eps)))
#s(approx (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) #s(hole binary64 (+ x (* 1/3 eps))))
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#s(approx (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) #s(hole binary64 (+ (* 1/3 eps) (* (pow x 2) (+ (* 4/3 eps) (* 17/9 (* eps (pow x 2))))))))
#s(approx (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) #s(hole binary64 (+ (* 1/3 eps) (* (pow x 2) (+ (* 4/3 eps) (* (pow x 2) (+ (* 248/135 (* eps (pow x 2))) (* 17/9 eps))))))))
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#s(approx (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) #s(hole binary64 (+ 1/3 (* 4/3 (pow x 2)))))
#s(approx (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 4/3 (* 17/9 (pow x 2)))))))
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#s(approx (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) #s(hole binary64 -1/3))
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#s(approx (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) #s(hole binary64 (- (* -4/3 (pow x 2)) 1/2)))
#s(approx (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) #s(hole binary64 (- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/2)))
#s(approx (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/2)))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (pow x 2)))
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#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 1/2))
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#s(approx (+ x x) #s(hole binary64 (* 2 x)))
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#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))))
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#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)))))))))
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#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))
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#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 (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 1))
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#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 -1/2))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* -1/3 (pow x 2)) 1/2)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/2)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/2)))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/9 (pow x 2))))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/9 (* 17/270 (pow x 2))))))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/9 (* (pow x 2) (+ 17/270 (* 31/945 (pow x 2))))))))))
#s(approx (neg (* (- 1 (neg (pow (tan x) 2))) (tan x))) #s(hole binary64 (* -1 x)))
#s(approx (neg (* (- 1 (neg (pow (tan x) 2))) (tan x))) #s(hole binary64 (* x (- (* -4/3 (pow x 2)) 1))))
#s(approx (neg (* (- 1 (neg (pow (tan x) 2))) (tan x))) #s(hole binary64 (* x (- (* (pow x 2) (- (* -17/15 (pow x 2)) 4/3)) 1))))
#s(approx (neg (* (- 1 (neg (pow (tan x) 2))) (tan x))) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -248/315 (pow x 2)) 17/15)) 4/3)) 1))))
#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 (- (tan (+ x eps)) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 eps))
#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) 1) #s(hole binary64 1))
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ (* (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) (* x x)) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ (* (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) #s(hole binary64 (+ 1 (* 2/3 (pow x 2)))))
#s(approx (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
#s(approx (+ (* 17/45 (* x x)) 2/3) #s(hole binary64 2/3))
#s(approx (+ (* 17/45 (* x x)) 2/3) #s(hole binary64 (+ 2/3 (* 17/45 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (- 1 (neg (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))))
#s(approx (* (- 1 (neg (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2))) eps) #s(hole binary64 (+ (* 2 (/ (* eps (* x (* (sin (+ (PI) (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))))) (cos (+ (PI) (* 2 (PI)))))) (* eps (+ 1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))))))
#s(approx (* (- 1 (neg (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2))) eps) #s(hole binary64 (+ (* eps (+ 1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))) (* x (+ (* 2 (/ (* eps (* (sin (+ (PI) (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))))) (cos (+ (PI) (* 2 (PI)))))) (* eps (* x (+ (* 2 (/ (* (pow (sin (+ (PI) (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (pow (cos (+ (PI) (* 2 (PI)))) 2))) (pow (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))) 2)))))))))
#s(approx (* (- 1 (neg (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2))) eps) #s(hole binary64 (+ (* eps (+ 1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))) (* x (+ (* 2 (/ (* eps (* (sin (+ (PI) (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))))) (cos (+ (PI) (* 2 (PI)))))) (* x (+ (* eps (* x (+ (* -2 (/ (* (sin (+ (PI) (* 2 (PI)))) (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ (PI) (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (pow (cos (+ (PI) (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))))) (cos (+ (PI) (* 2 (PI)))))) (* 2 (/ (* (sin (+ (PI) (* 2 (PI)))) (pow (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))) 2)) (cos (+ (PI) (* 2 (PI))))))))) (* eps (+ (* 2 (/ (* (pow (sin (+ (PI) (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (pow (cos (+ (PI) (* 2 (PI)))) 2))) (pow (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))) 2))))))))))
#s(approx (- 1 (neg (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2))) #s(hole binary64 (+ 1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))))
#s(approx (- 1 (neg (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2))) #s(hole binary64 (+ 1 (+ (* 2 (/ (* x (* (sin (+ (PI) (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))))) (cos (+ (PI) (* 2 (PI)))))) (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))))
#s(approx (- 1 (neg (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2))) #s(hole binary64 (+ 1 (+ (* x (+ (* 2 (/ (* (sin (+ (PI) (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (cos (+ (PI) (* 2 (PI)))))) (* x (+ (* 2 (/ (* (pow (sin (+ (PI) (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (pow (cos (+ (PI) (* 2 (PI)))) 2))) (pow (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))) 2))))) (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))))
#s(approx (- 1 (neg (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2))) #s(hole binary64 (+ 1 (+ (* x (+ (* 2 (/ (* (sin (+ (PI) (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (cos (+ (PI) (* 2 (PI)))))) (* x (+ (* 2 (/ (* (pow (sin (+ (PI) (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (pow (cos (+ (PI) (* 2 (PI)))) 2))) (+ (* x (+ (* -2 (/ (* (sin (+ (PI) (* 2 (PI)))) (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ (PI) (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (pow (cos (+ (PI) (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))))) (cos (+ (PI) (* 2 (PI)))))) (* 2 (/ (* (sin (+ (PI) (* 2 (PI)))) (pow (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))) 2)) (cos (+ (PI) (* 2 (PI)))))))) (pow (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))) 2)))))) (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))))
#s(approx (neg (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2)) #s(hole binary64 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))))
#s(approx (neg (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2)) #s(hole binary64 (- (* -2 (/ (* x (* (sin (+ (PI) (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))))) (cos (+ (PI) (* 2 (PI)))))) (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))))
#s(approx (neg (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2)) #s(hole binary64 (- (* x (- (* -1 (* x (+ (* 2 (/ (* (pow (sin (+ (PI) (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (pow (cos (+ (PI) (* 2 (PI)))) 2))) (pow (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))) 2)))) (* 2 (/ (* (sin (+ (PI) (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (cos (+ (PI) (* 2 (PI)))))))) (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))))
#s(approx (neg (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2)) #s(hole binary64 (- (* x (- (* x (- (* -1 (* x (+ (* -2 (/ (* (sin (+ (PI) (* 2 (PI)))) (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ (PI) (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (pow (cos (+ (PI) (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))))) (cos (+ (PI) (* 2 (PI)))))) (* 2 (/ (* (sin (+ (PI) (* 2 (PI)))) (pow (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))) 2)) (cos (+ (PI) (* 2 (PI))))))))) (+ (* 2 (/ (* (pow (sin (+ (PI) (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (pow (cos (+ (PI) (* 2 (PI)))) 2))) (pow (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))) 2)))) (* 2 (/ (* (sin (+ (PI) (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (cos (+ (PI) (* 2 (PI)))))))) (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))))
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#s(approx (+ (* x x) 1) #s(hole binary64 (pow x 2)))
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#s(approx (+ (* 17/45 (* x x)) 2/3) #s(hole binary64 (* 17/45 (pow x 2))))
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#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (neg (* -2 x))))))
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#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))
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#s(approx (/ (+ (pow (+ (+ (PI) x) (PI)) 3) (pow (PI) 3)) (+ (* (+ (+ (PI) x) (PI)) (+ (+ (PI) x) (PI))) (- (* (PI) (PI)) (* (+ (+ (PI) x) (PI)) (PI))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -8 (pow (PI) 2)) (+ (* -4 (pow (PI) 2)) (* -1 (/ (- (+ (* 8 (pow (PI) 3)) (pow (PI) 3)) (+ (* (- (* -4 (PI)) (* -1 (PI))) (- (+ (* -8 (pow (PI) 2)) (* -4 (pow (PI) 2))) (+ (* -1 (- (+ (* 4 (pow (PI) 2)) (pow (PI) 2)) (* 2 (pow (PI) 2)))) (* (- (* -4 (PI)) (* -1 (PI))) (- (+ (* 2 (PI)) (* 4 (PI))) (* -1 (- (* -4 (PI)) (* -1 (PI))))))))) (* (- (+ (* 2 (PI)) (* 4 (PI))) (* -1 (- (* -4 (PI)) (* -1 (PI))))) (- (+ (* 4 (pow (PI) 2)) (pow (PI) 2)) (* 2 (pow (PI) 2)))))) x)))) (+ (* -1 (- (+ (* 4 (pow (PI) 2)) (pow (PI) 2)) (* 2 (pow (PI) 2)))) (* (- (* -4 (PI)) (* -1 (PI))) (- (+ (* 2 (PI)) (* 4 (PI))) (* -1 (- (* -4 (PI)) (* -1 (PI)))))))) x)) (+ (* 2 (PI)) (* 4 (PI)))) (* -1 (- (* -4 (PI)) (* -1 (PI))))) x)) 1)))))
#s(approx (+ (pow (+ (+ (PI) x) (PI)) 3) (pow (PI) 3)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ (* 2 (PI)) (* 4 (PI))) x)) 1)))))
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#s(approx (+ (pow (+ (+ (PI) x) (PI)) 3) (pow (PI) 3)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -8 (pow (PI) 2)) (+ (* -4 (pow (PI) 2)) (* -1 (/ (+ (* 8 (pow (PI) 3)) (pow (PI) 3)) x)))) x)) (+ (* 2 (PI)) (* 4 (PI)))) x)) 1)))))
#s(approx (pow (+ (+ (PI) x) (PI)) 3) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ (* 2 (PI)) (* 4 (PI))) x)) 1)))))
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#s(approx (pow (+ (+ (PI) x) (PI)) 3) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -8 (/ (pow (PI) 3) x)) (+ (* -8 (pow (PI) 2)) (* -4 (pow (PI) 2)))) x)) (+ (* 2 (PI)) (* 4 (PI)))) x)) 1)))))
#s(approx (+ (* (+ (+ (PI) x) (PI)) (+ (+ (PI) x) (PI))) (- (* (PI) (PI)) (* (+ (+ (PI) x) (PI)) (PI)))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- (* -4 (PI)) (* -1 (PI))) x))))))
#s(approx (+ (* (+ (+ (PI) x) (PI)) (+ (+ (PI) x) (PI))) (- (* (PI) (PI)) (* (+ (+ (PI) x) (PI)) (PI)))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- (+ (* -4 (PI)) (* -1 (/ (- (+ (* 4 (pow (PI) 2)) (pow (PI) 2)) (* 2 (pow (PI) 2))) x))) (* -1 (PI))) x))))))
#s(approx (- (* (PI) (PI)) (* (+ (+ (PI) x) (PI)) (PI))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (pow (PI) 2) (* 2 (pow (PI) 2))) x)) (* -1 (PI)))))))
#s(approx (* (+ (+ (PI) x) (PI)) (PI)) #s(hole binary64 (* -1 (* x (+ (* -2 (/ (pow (PI) 2) x)) (* -1 (PI)))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (/ (sin x) (cos x)) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
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#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (* (- (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (* (- (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 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)))))))
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#s(approx (- (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 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 (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) #s(hole binary64 1))
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#s(approx eps #s(hole binary64 eps))
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#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin x) (cos x))))
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Calls

6 calls:

Time	Variable		Point	Expression
70.0ms	x	@	0	((- (tan (+ x eps)) (tan (+ x (PI)))) (* (- (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) (- (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) (- 1/2 (* (cos (+ x x)) 1/2)) 1/2 (* (cos (+ x x)) 1/2) (cos (+ x x)) (+ x x) x (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2))) (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1 (neg (pow (tan x) 2))) 1 (neg (pow (tan x) 2)) (pow (tan x) 2) (tan x) 2 (+ (* (cos (+ x x)) 1/2) 1/2) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) -1/2 (* (pow (tan x) 2) 1/6) 1/6 eps (neg (* (- 1 (neg (pow (tan x) 2))) (tan x))) (* (- 1 (neg (pow (tan x) 2))) (tan x)) (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (- 1 (neg (pow (tan x) 2))) (+ (* x x) 1) (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (- 1 (neg (pow (tan x) 2))) (+ (* (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) (* x x)) 1) (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) (+ (* 17/45 (* x x)) 2/3) 17/45 (* x x) 2/3 (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2))) eps) (- 1 (neg (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2))) (neg (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2)) (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2) (tan (+ (+ (+ (PI) x) (PI)) (PI))) (+ (+ (+ (PI) x) (PI)) (PI)) (+ (+ (PI) x) (PI)) (+ (PI) x) (PI) (- (tan (+ x eps)) (tan (/ (+ (pow (+ (+ (PI) x) (PI)) 3) (pow (PI) 3)) (+ (* (+ (+ (PI) x) (PI)) (+ (+ (PI) x) (PI))) (- (* (PI) (PI)) (* (+ (+ (PI) x) (PI)) (PI))))))) (tan (+ x eps)) (+ x eps) (* (+ (/ eps x) 1) x) (+ (/ eps x) 1) (/ eps x) (tan (/ (+ (pow (+ (+ (PI) x) (PI)) 3) (pow (PI) 3)) (+ (* (+ (+ (PI) x) (PI)) (+ (+ (PI) x) (PI))) (- (* (PI) (PI)) (* (+ (+ (PI) x) (PI)) (PI)))))) (/ (+ (pow (+ (+ (PI) x) (PI)) 3) (pow (PI) 3)) (+ (* (+ (+ (PI) x) (PI)) (+ (+ (PI) x) (PI))) (- (* (PI) (PI)) (* (+ (+ (PI) x) (PI)) (PI))))) (+ (pow (+ (+ (PI) x) (PI)) 3) (pow (PI) 3)) (pow (+ (+ (PI) x) (PI)) 3) 3 (pow (PI) 3) (+ (* (+ (+ (PI) x) (PI)) (+ (+ (PI) x) (PI))) (- (* (PI) (PI)) (* (+ (+ (PI) x) (PI)) (PI)))) (- (* (PI) (PI)) (* (+ (+ (PI) x) (PI)) (PI))) (* (PI) (PI)) (* (+ (+ (PI) x) (PI)) (PI)))
17.0ms	eps	@	-inf	((- (tan (+ x eps)) (tan (+ x (PI)))) (* (- (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) (- (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) (- 1/2 (* (cos (+ x x)) 1/2)) 1/2 (* (cos (+ x x)) 1/2) (cos (+ x x)) (+ x x) x (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2))) (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1 (neg (pow (tan x) 2))) 1 (neg (pow (tan x) 2)) (pow (tan x) 2) (tan x) 2 (+ (* (cos (+ x x)) 1/2) 1/2) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) -1/2 (* (pow (tan x) 2) 1/6) 1/6 eps (neg (* (- 1 (neg (pow (tan x) 2))) (tan x))) (* (- 1 (neg (pow (tan x) 2))) (tan x)) (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (- 1 (neg (pow (tan x) 2))) (+ (* x x) 1) (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (- 1 (neg (pow (tan x) 2))) (+ (* (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) (* x x)) 1) (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) (+ (* 17/45 (* x x)) 2/3) 17/45 (* x x) 2/3 (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2))) eps) (- 1 (neg (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2))) (neg (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2)) (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2) (tan (+ (+ (+ (PI) x) (PI)) (PI))) (+ (+ (+ (PI) x) (PI)) (PI)) (+ (+ (PI) x) (PI)) (+ (PI) x) (PI) (- (tan (+ x eps)) (tan (/ (+ (pow (+ (+ (PI) x) (PI)) 3) (pow (PI) 3)) (+ (* (+ (+ (PI) x) (PI)) (+ (+ (PI) x) (PI))) (- (* (PI) (PI)) (* (+ (+ (PI) x) (PI)) (PI))))))) (tan (+ x eps)) (+ x eps) (* (+ (/ eps x) 1) x) (+ (/ eps x) 1) (/ eps x) (tan (/ (+ (pow (+ (+ (PI) x) (PI)) 3) (pow (PI) 3)) (+ (* (+ (+ (PI) x) (PI)) (+ (+ (PI) x) (PI))) (- (* (PI) (PI)) (* (+ (+ (PI) x) (PI)) (PI)))))) (/ (+ (pow (+ (+ (PI) x) (PI)) 3) (pow (PI) 3)) (+ (* (+ (+ (PI) x) (PI)) (+ (+ (PI) x) (PI))) (- (* (PI) (PI)) (* (+ (+ (PI) x) (PI)) (PI))))) (+ (pow (+ (+ (PI) x) (PI)) 3) (pow (PI) 3)) (pow (+ (+ (PI) x) (PI)) 3) 3 (pow (PI) 3) (+ (* (+ (+ (PI) x) (PI)) (+ (+ (PI) x) (PI))) (- (* (PI) (PI)) (* (+ (+ (PI) x) (PI)) (PI)))) (- (* (PI) (PI)) (* (+ (+ (PI) x) (PI)) (PI))) (* (PI) (PI)) (* (+ (+ (PI) x) (PI)) (PI)))
16.0ms	x	@	-inf	((- (tan (+ x eps)) (tan (+ x (PI)))) (* (- (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) (- (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) (- 1/2 (* (cos (+ x x)) 1/2)) 1/2 (* (cos (+ x x)) 1/2) (cos (+ x x)) (+ x x) x (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2))) (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1 (neg (pow (tan x) 2))) 1 (neg (pow (tan x) 2)) (pow (tan x) 2) (tan x) 2 (+ (* (cos (+ x x)) 1/2) 1/2) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) -1/2 (* (pow (tan x) 2) 1/6) 1/6 eps (neg (* (- 1 (neg (pow (tan x) 2))) (tan x))) (* (- 1 (neg (pow (tan x) 2))) (tan x)) (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (- 1 (neg (pow (tan x) 2))) (+ (* x x) 1) (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (- 1 (neg (pow (tan x) 2))) (+ (* (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) (* x x)) 1) (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) (+ (* 17/45 (* x x)) 2/3) 17/45 (* x x) 2/3 (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2))) eps) (- 1 (neg (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2))) (neg (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2)) (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2) (tan (+ (+ (+ (PI) x) (PI)) (PI))) (+ (+ (+ (PI) x) (PI)) (PI)) (+ (+ (PI) x) (PI)) (+ (PI) x) (PI) (- (tan (+ x eps)) (tan (/ (+ (pow (+ (+ (PI) x) (PI)) 3) (pow (PI) 3)) (+ (* (+ (+ (PI) x) (PI)) (+ (+ (PI) x) (PI))) (- (* (PI) (PI)) (* (+ (+ (PI) x) (PI)) (PI))))))) (tan (+ x eps)) (+ x eps) (* (+ (/ eps x) 1) x) (+ (/ eps x) 1) (/ eps x) (tan (/ (+ (pow (+ (+ (PI) x) (PI)) 3) (pow (PI) 3)) (+ (* (+ (+ (PI) x) (PI)) (+ (+ (PI) x) (PI))) (- (* (PI) (PI)) (* (+ (+ (PI) x) (PI)) (PI)))))) (/ (+ (pow (+ (+ (PI) x) (PI)) 3) (pow (PI) 3)) (+ (* (+ (+ (PI) x) (PI)) (+ (+ (PI) x) (PI))) (- (* (PI) (PI)) (* (+ (+ (PI) x) (PI)) (PI))))) (+ (pow (+ (+ (PI) x) (PI)) 3) (pow (PI) 3)) (pow (+ (+ (PI) x) (PI)) 3) 3 (pow (PI) 3) (+ (* (+ (+ (PI) x) (PI)) (+ (+ (PI) x) (PI))) (- (* (PI) (PI)) (* (+ (+ (PI) x) (PI)) (PI)))) (- (* (PI) (PI)) (* (+ (+ (PI) x) (PI)) (PI))) (* (PI) (PI)) (* (+ (+ (PI) x) (PI)) (PI)))
14.0ms	eps	@	inf	((- (tan (+ x eps)) (tan (+ x (PI)))) (* (- (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) (- (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) (- 1/2 (* (cos (+ x x)) 1/2)) 1/2 (* (cos (+ x x)) 1/2) (cos (+ x x)) (+ x x) x (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2))) (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)) (- 1 (neg (pow (tan x) 2))) 1 (neg (pow (tan x) 2)) (pow (tan x) 2) (tan x) 2 (+ (* (cos (+ x x)) 1/2) 1/2) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) -1/2 (* (pow (tan x) 2) 1/6) 1/6 eps (neg (* (- 1 (neg (pow (tan x) 2))) (tan x))) (* (- 1 (neg (pow (tan x) 2))) (tan x)) (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (- 1 (neg (pow (tan x) 2))) (+ (* x x) 1) (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (- 1 (neg (pow (tan x) 2))) (+ (* (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) (* x x)) 1) (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) (+ (* 17/45 (* x x)) 2/3) 17/45 (* x x) 2/3 (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2))) eps) (- 1 (neg (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2))) (neg (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2)) (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2) (tan (+ (+ (+ (PI) x) (PI)) (PI))) (+ (+ (+ (PI) x) (PI)) (PI)) (+ (+ (PI) x) (PI)) (+ (PI) x) (PI) (- (tan (+ x eps)) (tan (/ (+ (pow (+ (+ (PI) x) (PI)) 3) (pow (PI) 3)) (+ (* (+ (+ (PI) x) (PI)) (+ (+ (PI) x) (PI))) (- (* (PI) (PI)) (* (+ (+ (PI) x) (PI)) (PI))))))) (tan (+ x eps)) (+ x eps) (* (+ (/ eps x) 1) x) (+ (/ eps x) 1) (/ eps x) (tan (/ (+ (pow (+ (+ (PI) x) (PI)) 3) (pow (PI) 3)) (+ (* (+ (+ (PI) x) (PI)) (+ (+ (PI) x) (PI))) (- (* (PI) (PI)) (* (+ (+ (PI) x) (PI)) (PI)))))) (/ (+ (pow (+ (+ (PI) x) (PI)) 3) (pow (PI) 3)) (+ (* (+ (+ (PI) x) (PI)) (+ (+ (PI) x) (PI))) (- (* (PI) (PI)) (* (+ (+ (PI) x) (PI)) (PI))))) (+ (pow (+ (+ (PI) x) (PI)) 3) (pow (PI) 3)) (pow (+ (+ (PI) x) (PI)) 3) 3 (pow (PI) 3) (+ (* (+ (+ (PI) x) (PI)) (+ (+ (PI) x) (PI))) (- (* (PI) (PI)) (* (+ (+ (PI) x) (PI)) (PI)))) (- (* (PI) (PI)) (* (+ (+ (PI) x) (PI)) (PI))) (* (PI) (PI)) (* (+ (+ (PI) x) (PI)) (PI)))
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rewrite302.0ms (4.1%)

Memory

-11.3MiB live, 264.1MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1672	33298
0	1795	30983
0	8312	29741

Stop Event

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

Counts

414 → 525

Calls

Call 1

Inputs
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#s(approx (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/2)))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (pow x 2)))
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#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 1/2))
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#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
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#s(approx (+ x x) #s(hole binary64 (* 2 x)))
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#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))))
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#s(approx (pow (tan x) 2) #s(hole binary64 (pow x 2)))
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#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))
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#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 1))
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#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 -1/2))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* -1/3 (pow x 2)) 1/2)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/2)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/2)))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/9 (pow x 2))))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/9 (* 17/270 (pow x 2))))))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/9 (* (pow x 2) (+ 17/270 (* 31/945 (pow x 2))))))))))
#s(approx (neg (* (- 1 (neg (pow (tan x) 2))) (tan x))) #s(hole binary64 (* -1 x)))
#s(approx (neg (* (- 1 (neg (pow (tan x) 2))) (tan x))) #s(hole binary64 (* x (- (* -4/3 (pow x 2)) 1))))
#s(approx (neg (* (- 1 (neg (pow (tan x) 2))) (tan x))) #s(hole binary64 (* x (- (* (pow x 2) (- (* -17/15 (pow x 2)) 4/3)) 1))))
#s(approx (neg (* (- 1 (neg (pow (tan x) 2))) (tan x))) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -248/315 (pow x 2)) 17/15)) 4/3)) 1))))
#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 (- (tan (+ x eps)) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 eps))
#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) 1) #s(hole binary64 1))
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ (* (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) (* x x)) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ (* (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) #s(hole binary64 (+ 1 (* 2/3 (pow x 2)))))
#s(approx (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
#s(approx (+ (* 17/45 (* x x)) 2/3) #s(hole binary64 2/3))
#s(approx (+ (* 17/45 (* x x)) 2/3) #s(hole binary64 (+ 2/3 (* 17/45 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (- 1 (neg (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))))
#s(approx (* (- 1 (neg (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2))) eps) #s(hole binary64 (+ (* 2 (/ (* eps (* x (* (sin (+ (PI) (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))))) (cos (+ (PI) (* 2 (PI)))))) (* eps (+ 1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))))))
#s(approx (* (- 1 (neg (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2))) eps) #s(hole binary64 (+ (* eps (+ 1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))) (* x (+ (* 2 (/ (* eps (* (sin (+ (PI) (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))))) (cos (+ (PI) (* 2 (PI)))))) (* eps (* x (+ (* 2 (/ (* (pow (sin (+ (PI) (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (pow (cos (+ (PI) (* 2 (PI)))) 2))) (pow (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))) 2)))))))))
#s(approx (* (- 1 (neg (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2))) eps) #s(hole binary64 (+ (* eps (+ 1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))) (* x (+ (* 2 (/ (* eps (* (sin (+ (PI) (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))))) (cos (+ (PI) (* 2 (PI)))))) (* x (+ (* eps (* x (+ (* -2 (/ (* (sin (+ (PI) (* 2 (PI)))) (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ (PI) (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (pow (cos (+ (PI) (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))))) (cos (+ (PI) (* 2 (PI)))))) (* 2 (/ (* (sin (+ (PI) (* 2 (PI)))) (pow (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))) 2)) (cos (+ (PI) (* 2 (PI))))))))) (* eps (+ (* 2 (/ (* (pow (sin (+ (PI) (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (pow (cos (+ (PI) (* 2 (PI)))) 2))) (pow (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))) 2))))))))))
#s(approx (- 1 (neg (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2))) #s(hole binary64 (+ 1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))))
#s(approx (- 1 (neg (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2))) #s(hole binary64 (+ 1 (+ (* 2 (/ (* x (* (sin (+ (PI) (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))))) (cos (+ (PI) (* 2 (PI)))))) (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))))
#s(approx (- 1 (neg (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2))) #s(hole binary64 (+ 1 (+ (* x (+ (* 2 (/ (* (sin (+ (PI) (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (cos (+ (PI) (* 2 (PI)))))) (* x (+ (* 2 (/ (* (pow (sin (+ (PI) (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (pow (cos (+ (PI) (* 2 (PI)))) 2))) (pow (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))) 2))))) (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))))
#s(approx (- 1 (neg (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2))) #s(hole binary64 (+ 1 (+ (* x (+ (* 2 (/ (* (sin (+ (PI) (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (cos (+ (PI) (* 2 (PI)))))) (* x (+ (* 2 (/ (* (pow (sin (+ (PI) (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (pow (cos (+ (PI) (* 2 (PI)))) 2))) (+ (* x (+ (* -2 (/ (* (sin (+ (PI) (* 2 (PI)))) (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ (PI) (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (pow (cos (+ (PI) (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))))) (cos (+ (PI) (* 2 (PI)))))) (* 2 (/ (* (sin (+ (PI) (* 2 (PI)))) (pow (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))) 2)) (cos (+ (PI) (* 2 (PI)))))))) (pow (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))) 2)))))) (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))))
#s(approx (neg (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2)) #s(hole binary64 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))))
#s(approx (neg (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2)) #s(hole binary64 (- (* -2 (/ (* x (* (sin (+ (PI) (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))))) (cos (+ (PI) (* 2 (PI)))))) (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))))
#s(approx (neg (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2)) #s(hole binary64 (- (* x (- (* -1 (* x (+ (* 2 (/ (* (pow (sin (+ (PI) (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (pow (cos (+ (PI) (* 2 (PI)))) 2))) (pow (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))) 2)))) (* 2 (/ (* (sin (+ (PI) (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (cos (+ (PI) (* 2 (PI)))))))) (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))))
#s(approx (neg (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2)) #s(hole binary64 (- (* x (- (* x (- (* -1 (* x (+ (* -2 (/ (* (sin (+ (PI) (* 2 (PI)))) (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ (PI) (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (pow (cos (+ (PI) (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))))) (cos (+ (PI) (* 2 (PI)))))) (* 2 (/ (* (sin (+ (PI) (* 2 (PI)))) (pow (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))) 2)) (cos (+ (PI) (* 2 (PI))))))))) (+ (* 2 (/ (* (pow (sin (+ (PI) (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (pow (cos (+ (PI) (* 2 (PI)))) 2))) (pow (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))) 2)))) (* 2 (/ (* (sin (+ (PI) (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))) (cos (+ (PI) (* 2 (PI)))))))) (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2)))))
#s(approx (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2) #s(hole binary64 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (pow (cos (+ (PI) (* 2 (PI)))) 2))))
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#s(approx (+ (* x x) 1) #s(hole binary64 (pow x 2)))
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#s(approx (+ (* 17/45 (* x x)) 2/3) #s(hole binary64 (* 17/45 (pow x 2))))
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#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (neg (* -2 x))))))
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#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (cos (neg (* -2 x)))))))
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#s(approx (/ (+ (pow (+ (+ (PI) x) (PI)) 3) (pow (PI) 3)) (+ (* (+ (+ (PI) x) (PI)) (+ (+ (PI) x) (PI))) (- (* (PI) (PI)) (* (+ (+ (PI) x) (PI)) (PI))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -8 (pow (PI) 2)) (+ (* -4 (pow (PI) 2)) (* -1 (/ (- (+ (* 8 (pow (PI) 3)) (pow (PI) 3)) (+ (* (- (* -4 (PI)) (* -1 (PI))) (- (+ (* -8 (pow (PI) 2)) (* -4 (pow (PI) 2))) (+ (* -1 (- (+ (* 4 (pow (PI) 2)) (pow (PI) 2)) (* 2 (pow (PI) 2)))) (* (- (* -4 (PI)) (* -1 (PI))) (- (+ (* 2 (PI)) (* 4 (PI))) (* -1 (- (* -4 (PI)) (* -1 (PI))))))))) (* (- (+ (* 2 (PI)) (* 4 (PI))) (* -1 (- (* -4 (PI)) (* -1 (PI))))) (- (+ (* 4 (pow (PI) 2)) (pow (PI) 2)) (* 2 (pow (PI) 2)))))) x)))) (+ (* -1 (- (+ (* 4 (pow (PI) 2)) (pow (PI) 2)) (* 2 (pow (PI) 2)))) (* (- (* -4 (PI)) (* -1 (PI))) (- (+ (* 2 (PI)) (* 4 (PI))) (* -1 (- (* -4 (PI)) (* -1 (PI)))))))) x)) (+ (* 2 (PI)) (* 4 (PI)))) (* -1 (- (* -4 (PI)) (* -1 (PI))))) x)) 1)))))
#s(approx (+ (pow (+ (+ (PI) x) (PI)) 3) (pow (PI) 3)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ (* 2 (PI)) (* 4 (PI))) x)) 1)))))
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#s(approx (+ (pow (+ (+ (PI) x) (PI)) 3) (pow (PI) 3)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -8 (pow (PI) 2)) (+ (* -4 (pow (PI) 2)) (* -1 (/ (+ (* 8 (pow (PI) 3)) (pow (PI) 3)) x)))) x)) (+ (* 2 (PI)) (* 4 (PI)))) x)) 1)))))
#s(approx (pow (+ (+ (PI) x) (PI)) 3) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ (* 2 (PI)) (* 4 (PI))) x)) 1)))))
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#s(approx (pow (+ (+ (PI) x) (PI)) 3) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -8 (/ (pow (PI) 3) x)) (+ (* -8 (pow (PI) 2)) (* -4 (pow (PI) 2)))) x)) (+ (* 2 (PI)) (* 4 (PI)))) x)) 1)))))
#s(approx (+ (* (+ (+ (PI) x) (PI)) (+ (+ (PI) x) (PI))) (- (* (PI) (PI)) (* (+ (+ (PI) x) (PI)) (PI)))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- (* -4 (PI)) (* -1 (PI))) x))))))
#s(approx (+ (* (+ (+ (PI) x) (PI)) (+ (+ (PI) x) (PI))) (- (* (PI) (PI)) (* (+ (+ (PI) x) (PI)) (PI)))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- (+ (* -4 (PI)) (* -1 (/ (- (+ (* 4 (pow (PI) 2)) (pow (PI) 2)) (* 2 (pow (PI) 2))) x))) (* -1 (PI))) x))))))
#s(approx (- (* (PI) (PI)) (* (+ (+ (PI) x) (PI)) (PI))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (pow (PI) 2) (* 2 (pow (PI) 2))) x)) (* -1 (PI)))))))
#s(approx (* (+ (+ (PI) x) (PI)) (PI)) #s(hole binary64 (* -1 (* x (+ (* -2 (/ (pow (PI) 2) x)) (* -1 (PI)))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (/ (sin x) (cos x)) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
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#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (* (- (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (* (- (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 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)))))))
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#s(approx (- (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 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 (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) #s(hole binary64 1))
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#s(approx eps #s(hole binary64 eps))
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#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin x) (cos x))))
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#s(approx (* (- (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1 (+ 1/6 (+ (* -1 (* (+ (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (- 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (/ 1 (pow eps 2)) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x))) (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2)))))))))
#s(approx (- (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (* -1 (* (pow eps 2) (+ 1/6 (+ (* -1 (* (+ (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (- 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))))))
#s(approx (- (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (+ 1/6 (+ (* -1 (* (+ (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (- 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x)))))))
#s(approx (- (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (+ 1/6 (+ (* -1 (* (+ (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (- 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (/ 1 (pow eps 2)) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x))) (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2)))))))))
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#s(approx (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) #s(hole binary64 (* eps (+ (* -1 (+ 1/6 (+ (* -1 (* (+ (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (- 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x)))))))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (* (+ (/ eps x) 1) x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (+ (/ eps x) 1) #s(hole binary64 (* eps (+ (/ 1 eps) (/ 1 x)))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (* (- (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ 1/6 (+ (* -1 (* (+ (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (- 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x)))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))))
#s(approx (* (- (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ 1/6 (+ (* -1 (* (+ (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (- 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* -1 (/ (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))) eps)) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))))
#s(approx (- (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (+ 1/6 (+ (* -1 (* (+ (/ 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (/ (pow (sin x) 2) (* (pow (cos x) 2) (+ 1/2 (* 1/2 (cos (* 2 x))))))) (- 1/2 (* 1/2 (cos (* 2 x)))))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* -1 (/ (+ (* -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))) eps))))))
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#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ x eps)) (tan (/ (+ (pow (+ (+ (PI) x) (PI)) 3) (pow (PI) 3)) (+ (* (+ (+ (PI) x) (PI)) (+ (+ (PI) x) (PI))) (- (* (PI) (PI)) (* (+ (+ (PI) x) (PI)) (PI))))))) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin (/ (+ (pow (PI) 3) (pow (+ x (* 2 (PI))) 3)) (- (+ (pow (PI) 2) (pow (+ x (* 2 (PI))) 2)) (* (PI) (+ x (* 2 (PI))))))) (cos (/ (+ (pow (PI) 3) (pow (+ x (* 2 (PI))) 3)) (- (+ (pow (PI) 2) (pow (+ x (* 2 (PI))) 2)) (* (PI) (+ x (* 2 (PI)))))))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (* (+ (/ eps x) 1) x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))

Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 (-.f64 (.f64 (neg.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (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)))) #s(literal 1/6 binary64))) eps) (neg.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)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
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#s(approx (+ x x) (*.f64 #s(literal 2 binary64) x))
#s(approx x x)
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#s(approx (pow (tan x) 2) (*.f64 x x))
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#s(approx (pow (tan x) 2) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 17/45 binary64) (.f64 #s(literal 62/315 binary64) (.f64 x x)))))))))
#s(approx (tan x) x)
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#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
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#s(approx (+ (* x x) 1) #s(literal 1 binary64))
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#s(approx (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (.f64 x x))))
#s(approx (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 17/45 binary64) (.f64 x x))))))
#s(approx (+ (* 17/45 (* x x)) 2/3) #s(literal 2/3 binary64))
#s(approx (+ (* 17/45 (* x x)) 2/3) (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 17/45 binary64) (.f64 x x))))
#s(approx (* x x) (*.f64 x x))
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(PI.f64) (PI.f64)))) #s(literal 3 binary64))))))))))) (+.f64 (/.f64 (.f64 (sin.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) (PI.f64)))))) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) (PI.f64)))))) (pow.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (PI.f64) (PI.f64)) (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) (PI.f64))))) (.f64 #s(literal 8 binary64) (/.f64 (.f64 (PI.f64) (PI.f64)) (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) (PI.f64))))))) (/.f64 (.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (-.f64 (.f64 #s(literal 4 binary64) (PI.f64)) (PI.f64))) (pow.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (.f64 (sin.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) (PI.f64)))))) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) (PI.f64))))) (.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) (PI.f64))))))) (fma.f64 #s(literal 8 binary64) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (pow.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 4 binary64) (PI.f64)) (PI.f64)) (-.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (PI.f64) (PI.f64)) (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) (PI.f64))))) (.f64 #s(literal 8 binary64) (/.f64 (.f64 (PI.f64) (PI.f64)) (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) (PI.f64))))))) (/.f64 (.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (-.f64 (.f64 #s(literal 4 binary64) (PI.f64)) (PI.f64))) (pow.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64))))) (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) (PI.f64))))) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (pow.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64))))))))) (pow.f64 (cos.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) (PI.f64)))))) #s(literal 2 binary64))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 4 binary64) (PI.f64)) (PI.f64)) (-.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (PI.f64) (PI.f64)) (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) (PI.f64))))) (.f64 #s(literal 8 binary64) (/.f64 (.f64 (PI.f64) (PI.f64)) (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) (PI.f64))))))) (/.f64 (.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (-.f64 (.f64 #s(literal 4 binary64) (PI.f64)) (PI.f64))) (pow.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64))))) (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) (PI.f64))))) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (pow.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (cos.f64 eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) (PI.f64)))))) (pow.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (PI.f64) (PI.f64)) (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 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#s(approx (tan (+ x eps)) (tan.f64 eps))
#s(approx (tan (+ x eps)) (fma.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (tan.f64 eps)))
#s(approx (tan (+ x eps)) (fma.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))) (cos.f64 eps))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (tan.f64 eps)))
#s(approx (tan (+ x eps)) (fma.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (cos.f64 eps)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (tan.f64 eps)))
#s(approx (+ x eps) eps)
#s(approx (+ x eps) (+.f64 eps x))
#s(approx (* (+ (/ eps x) 1) x) eps)
#s(approx (* (+ (/ eps x) 1) x) (+.f64 eps x))
#s(approx (+ (/ eps x) 1) (/.f64 eps x))
#s(approx (+ (/ eps x) 1) (/.f64 (+.f64 eps x) x))
#s(approx (/ eps x) (/.f64 eps x))
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#s(approx (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) (fma.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))))) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (cos.f64 x))))
#s(approx (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))))))))
#s(approx (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))))))
#s(approx (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))))))
#s(approx (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) (fma.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
#s(approx (* (cos (+ x x)) 1/2) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))
#s(approx (cos (+ x x)) (cos.f64 (+.f64 x x)))
#s(approx (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2))) (.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))))
#s(approx (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
#s(approx (- 1 (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
#s(approx (neg (pow (tan x) 2)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
#s(approx (pow (tan x) 2) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
#s(approx (tan x) (tan.f64 x))
#s(approx (+ (* (cos (+ x x)) 1/2) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))))
#s(approx (* (pow (tan x) 2) 1/6) (.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
#s(approx (neg (* (- 1 (neg (pow (tan x) 2))) (tan x))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (cos.f64 x))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (tan x)) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (cos.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))))
#s(approx (+ (* x x) 1) (*.f64 x x))
#s(approx (+ (* x x) 1) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (+ (* (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) (* x x)) 1) (*.f64 #s(literal 17/45 binary64) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) (* x x)) 1) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 17/45 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
#s(approx (+ (* (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) (* x x)) 1) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 17/45 binary64) (fma.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 x #s(literal -4 binary64))))))
#s(approx (+ (* (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) (* x x)) 1) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 17/45 binary64) (fma.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 x #s(literal -6 binary64)))))))
#s(approx (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) (*.f64 #s(literal 17/45 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 17/45 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
#s(approx (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 17/45 binary64) (fma.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 x #s(literal -4 binary64))))))
#s(approx (+ (* 17/45 (* x x)) 2/3) (.f64 #s(literal 17/45 binary64) (.f64 x x)))
#s(approx (+ (* 17/45 (* x x)) 2/3) (.f64 (.f64 x x) (+.f64 #s(literal 17/45 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))))
#s(approx (* (- 1 (neg (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2))) eps) (.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 x (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 x (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64))))))
#s(approx (- 1 (neg (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 x (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 x (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64)))))
#s(approx (neg (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2)) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 x (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 x (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64)))))
#s(approx (pow (tan (+ (+ (+ (PI) x) (PI)) (PI))) 2) (/.f64 (pow.f64 (sin.f64 (+.f64 x (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 x (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64))))
#s(approx (tan (/ (+ (pow (+ (+ (PI) x) (PI)) 3) (pow (PI) 3)) (+ (* (+ (+ (PI) x) (PI)) (+ (+ (PI) x) (PI))) (- (* (PI) (PI)) (* (+ (+ (PI) x) (PI)) (PI)))))) (tan.f64 (+.f64 x (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))))
#s(approx (/ (+ (pow (+ (+ (PI) x) (PI)) 3) (pow (PI) 3)) (+ (* (+ (+ (PI) x) (PI)) (+ (+ (PI) x) (PI))) (- (* (PI) (PI)) (* (+ (+ (PI) x) (PI)) (PI))))) x)
#s(approx (/ (+ (pow (+ (+ (PI) x) (PI)) 3) (pow (PI) 3)) (+ (* (+ (+ (PI) x) (PI)) (+ (+ (PI) x) (PI))) (- (* (PI) (PI)) (* (+ (+ (PI) x) (PI)) (PI))))) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (PI.f64) x) (/.f64 (PI.f64) x)))))
#s(approx (+ (+ (PI) x) (PI)) x)
#s(approx (+ (+ (PI) x) (PI)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) x)))))
#s(approx (+ (PI) x) x)
#s(approx (+ (PI) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (PI.f64) x))))
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#s(approx (tan (+ x eps)) (tan.f64 (+.f64 eps x)))
#s(approx (+ x eps) x)
#s(approx (+ x eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (* (+ (/ eps x) 1) x) x)
#s(approx (* (+ (/ eps x) 1) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (+ (/ eps x) 1) #s(literal 1 binary64))
#s(approx (+ (/ eps x) 1) (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
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#s(approx (/ (+ (pow (+ (+ (PI) x) (PI)) 3) (pow (PI) 3)) (+ (* (+ (+ (PI) x) (PI)) (+ (+ (PI) x) (PI))) (- (* (PI) (PI)) (* (+ (+ (PI) x) (PI)) (PI))))) x)
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#s(approx (/ (+ (pow (+ (+ (PI) x) (PI)) 3) (pow (PI) 3)) (+ (* (+ (+ (PI) x) (PI)) (+ (+ (PI) x) (PI))) (- (* (PI) (PI)) (* (+ (+ (PI) x) (PI)) (PI))))) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (PI.f64) x) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (PI.f64) (PI.f64)) (.f64 x x)) (fma.f64 #s(literal 8 binary64) (/.f64 (.f64 (PI.f64) (PI.f64)) (.f64 x x)) (/.f64 (PI.f64) x))))) (/.f64 (fma.f64 (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))) (-.f64 (.f64 #s(literal 4 binary64) (PI.f64)) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (*.f64 x x)))))
#s(approx (/ (+ (pow (+ (+ (PI) x) (PI)) 3) (pow (PI) 3)) (+ (* (+ (+ (PI) x) (PI)) (+ (+ (PI) x) (PI))) (- (* (PI) (PI)) (* (+ (+ (PI) x) (PI)) (PI))))) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (PI.f64) x) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (PI.f64) (PI.f64)) (.f64 x x)) (fma.f64 #s(literal 8 binary64) (/.f64 (.f64 (PI.f64) (PI.f64)) (.f64 x x)) (fma.f64 #s(literal 8 binary64) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (.f64 (.f64 x x) x)) (+.f64 (/.f64 (PI.f64) x) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (.f64 (.f64 x x) x)))))))) (+.f64 (/.f64 (.f64 (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))) (-.f64 (.f64 #s(literal 4 binary64) (PI.f64)) (PI.f64))) (.f64 x x)) (+.f64 (/.f64 (.f64 (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))) (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) (PI.f64))))) (.f64 (.f64 x x) x)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 4 binary64) (PI.f64)) (PI.f64)) (-.f64 (fma.f64 #s(literal 2 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 #s(literal 8 binary64) (.f64 (PI.f64) (PI.f64)))) (fma.f64 (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))) (-.f64 (.f64 #s(literal 4 binary64) (PI.f64)) (PI.f64)) (.f64 (PI.f64) (PI.f64))))) (.f64 (.f64 x x) x)) (/.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 x x))))))))
#s(approx (+ (pow (+ (+ (PI) x) (PI)) 3) (pow (PI) 3)) (.f64 (.f64 x x) x))
#s(approx (+ (pow (+ (+ (PI) x) (PI)) 3) (pow (PI) 3)) (.f64 (.f64 (.f64 x x) x) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (PI.f64) x) (.f64 #s(literal 4 binary64) (/.f64 (PI.f64) x))))))
#s(approx (+ (pow (+ (+ (PI) x) (PI)) 3) (pow (PI) 3)) (.f64 (.f64 (.f64 x x) x) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (PI.f64) x) (fma.f64 #s(literal 4 binary64) (/.f64 (PI.f64) x) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (PI.f64) (PI.f64)) (.f64 x x)) (.f64 #s(literal 8 binary64) (/.f64 (.f64 (PI.f64) (PI.f64)) (.f64 x x)))))))))
#s(approx (+ (pow (+ (+ (PI) x) (PI)) 3) (pow (PI) 3)) (.f64 (.f64 (.f64 x x) x) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (PI.f64) x) (fma.f64 #s(literal 4 binary64) (/.f64 (PI.f64) x) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (PI.f64) (PI.f64)) (.f64 x x)) (fma.f64 #s(literal 8 binary64) (/.f64 (.f64 (PI.f64) (PI.f64)) (.f64 x x)) (fma.f64 #s(literal 8 binary64) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (.f64 (.f64 x x) x)) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (.f64 (*.f64 x x) x))))))))))
#s(approx (pow (+ (+ (PI) x) (PI)) 3) (.f64 (.f64 x x) x))
#s(approx (pow (+ (+ (PI) x) (PI)) 3) (.f64 (.f64 (.f64 x x) x) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (PI.f64) x) (.f64 #s(literal 4 binary64) (/.f64 (PI.f64) x))))))
#s(approx (pow (+ (+ (PI) x) (PI)) 3) (.f64 (.f64 (.f64 x x) x) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (PI.f64) x) (fma.f64 #s(literal 4 binary64) (/.f64 (PI.f64) x) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (PI.f64) (PI.f64)) (.f64 x x)) (.f64 #s(literal 8 binary64) (/.f64 (.f64 (PI.f64) (PI.f64)) (.f64 x x)))))))))
#s(approx (pow (+ (+ (PI) x) (PI)) 3) (.f64 (.f64 (.f64 x x) x) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (PI.f64) x) (fma.f64 #s(literal 4 binary64) (/.f64 (PI.f64) x) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (PI.f64) (PI.f64)) (.f64 x x)) (fma.f64 #s(literal 8 binary64) (/.f64 (.f64 (PI.f64) (PI.f64)) (.f64 x x)) (.f64 #s(literal 8 binary64) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (.f64 (.f64 x x) x))))))))))
#s(approx (+ (* (+ (+ (PI) x) (PI)) (+ (+ (PI) x) (PI))) (- (* (PI) (PI)) (* (+ (+ (PI) x) (PI)) (PI)))) (*.f64 x x))
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#s(approx (+ (* (+ (+ (PI) x) (PI)) (+ (+ (PI) x) (PI))) (- (* (PI) (PI)) (* (+ (+ (PI) x) (PI)) (PI)))) (.f64 (.f64 x x) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (PI.f64) x) (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (PI.f64) (PI.f64)) (.f64 x x)) (/.f64 (.f64 (PI.f64) (PI.f64)) (.f64 x x))))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (PI.f64) (PI.f64)) (.f64 x x)) (/.f64 (PI.f64) x)))))
#s(approx (- (* (PI) (PI)) (* (+ (+ (PI) x) (PI)) (PI))) (.f64 #s(literal -1 binary64) (.f64 x (PI.f64))))
#s(approx (- (* (PI) (PI)) (* (+ (+ (PI) x) (PI)) (PI))) (.f64 x (-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) x) (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (/.f64 (.f64 (PI.f64) (PI.f64)) x))))))
#s(approx (* (+ (+ (PI) x) (PI)) (PI)) (*.f64 x (PI.f64)))
#s(approx (* (+ (+ (PI) x) (PI)) (PI)) (.f64 x (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (/.f64 (*.f64 (PI.f64) (PI.f64)) x)))))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x))) (tan.f64 (-.f64 (PI.f64) (.f64 #s(literal -1 binary64) x)))))
#s(approx (* (- (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) (.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.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 x x)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #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 -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))))) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (cos.f64 x))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))))
#s(approx (- (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.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 x x)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #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 -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))))) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (cos.f64 x))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))))
#s(approx (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (+.f64 #s(literal 1 binary64) (.f64 eps (fma.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.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 x x)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #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 -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))))) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (cos.f64 x))))))
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#s(approx (pow (+ (+ (PI) x) (PI)) 3) (.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (.f64 #s(literal 4 binary64) (PI.f64))) x)) #s(literal 1 binary64)))))
#s(approx (pow (+ (+ (PI) x) (PI)) 3) (.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -8 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 #s(literal -4 binary64) (.f64 (PI.f64) (PI.f64)))) x) (fma.f64 #s(literal 2 binary64) (PI.f64) (*.f64 #s(literal 4 binary64) (PI.f64)))) x)) #s(literal 1 binary64)))))
#s(approx (pow (+ (+ (PI) x) (PI)) 3) (.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -8 binary64) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) x) (fma.f64 #s(literal -8 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 #s(literal -4 binary64) (.f64 (PI.f64) (PI.f64))))) x) (fma.f64 #s(literal 2 binary64) (PI.f64) (*.f64 #s(literal 4 binary64) (PI.f64)))) x)) #s(literal 1 binary64)))))
#s(approx (+ (* (+ (+ (PI) x) (PI)) (+ (+ (PI) x) (PI))) (- (* (PI) (PI)) (* (+ (+ (PI) x) (PI)) (PI)))) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -4 binary64) (PI.f64)) (*.f64 #s(literal -1 binary64) (PI.f64))) x)))))
#s(approx (+ (* (+ (+ (PI) x) (PI)) (+ (+ (PI) x) (PI))) (- (* (PI) (PI)) (* (+ (+ (PI) x) (PI)) (PI)))) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (PI.f64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) (PI.f64)))) x))) (*.f64 #s(literal -1 binary64) (PI.f64))) x)))))
#s(approx (- (* (PI) (PI)) (* (+ (+ (PI) x) (PI)) (PI))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) (PI.f64)))) x)) (*.f64 #s(literal -1 binary64) (PI.f64))))))
#s(approx (* (+ (+ (PI) x) (PI)) (PI)) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (PI.f64) (PI.f64)) x) (.f64 #s(literal -1 binary64) (PI.f64))))))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 x) (tan.f64 x)))
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#s(approx (* (- (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) (.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))))
#s(approx (* (- (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) (.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))) (cos.f64 x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))))
#s(approx (- (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
#s(approx (- (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))) (cos.f64 x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))))
#s(approx (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))) (cos.f64 x))))
#s(approx (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (cos.f64 x)))
#s(approx eps eps)
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#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))))) (cos.f64 x))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))))
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#s(approx (tan (+ x eps)) (tan.f64 x))
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#s(approx (* (- (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) eps) (.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 eps eps) eps) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (cos.f64 x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))) eps) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))))))))
#s(approx (- (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (cos.f64 x)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) eps))) eps)))))
#s(approx (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (cos.f64 x))) (/.f64 #s(literal 1 binary64) eps)) eps)))))
#s(approx (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (.f64 eps (cos.f64 x))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (tan.f64 x)))
#s(approx (- (tan (+ x eps)) (tan (/ (+ (pow (+ (+ (PI) x) (PI)) 3) (pow (PI) 3)) (+ (* (+ (+ (PI) x) (PI)) (+ (+ (PI) x) (PI))) (- (* (PI) (PI)) (* (+ (+ (PI) x) (PI)) (PI))))))) (-.f64 (tan.f64 (-.f64 x (.f64 #s(literal -1 binary64) eps))) (tan.f64 (/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64) (pow.f64 (+.f64 x (.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 3 binary64))) (-.f64 (fma.f64 (PI.f64) (PI.f64) (.f64 (+.f64 x (.f64 #s(literal 2 binary64) (PI.f64))) (+.f64 x (.f64 #s(literal 2 binary64) (PI.f64))))) (.f64 (PI.f64) (+.f64 x (.f64 #s(literal 2 binary64) (PI.f64)))))))))
#s(approx (tan (+ x eps)) (tan.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))))
#s(approx (+ x eps) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (* (+ (/ eps x) 1) x) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))

eval129.0ms (1.8%)

Memory: 26.6MiB live, 123.0MiB allocated; 17ms collecting garbage
Compiler: Compiled 31 774 to 5 637 computations (82.3% saved)

prune68.0ms (0.9%)

Memory

-18.8MiB live, 120.7MiB allocated; 9ms collecting garbage

Pruning

41 alts after pruning (31 fresh and 10 done)

	Pruned	Kept	Total
New	656	8	664
Fresh	5	23	28
Picked	1	4	5
Done	0	6	6
Total	662	41	703

Accuracy

100.0%

Counts

703 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.5%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
	6.7%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))))
✓	6.6%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x (PI.f64))))
✓	61.3%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	7.9%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ x (PI))) #s(literal 0 binary64)))
	60.3%	(-.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)))
	6.6%	(-.f64 (tan.f64 #s(approx (+ x eps) (+.f64 eps x))) (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))))
	6.6%	(-.f64 (tan.f64 #s(approx (+ x eps) (.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))) (tan.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) #s(literal 3 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (fma.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (-.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)))))))
✓	99.6%	#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) (.f64 (-.f64 (fma.f64 (-.f64 (.f64 (neg.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (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)))) #s(literal 1/6 binary64))) eps) (neg.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)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
	99.6%	#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) (.f64 (-.f64 (fma.f64 (-.f64 (.f64 (neg.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(approx (+ ( (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(literal -1/2 binary64))) #s(literal 1/6 binary64))) eps) (neg.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)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
	99.6%	#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) (.f64 (-.f64 (fma.f64 (-.f64 (.f64 #s(approx (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) #s(literal 1/3 binary64)) eps) (neg.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)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
	97.7%	#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) (.f64 #s(approx (- (+ ( (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 eps x)))) eps))
	99.5%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(approx (- ( (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1)) (* (neg (pow (tan x) 2)) (neg (pow (tan x) 2)))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))) (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) (+.f64 (fma.f64 (-.f64 (.f64 (neg.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (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)))) #s(literal 1/6 binary64))) eps) (neg.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)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
	99.0%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 #s(approx (- (neg ( (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x (.f64 #s(literal 4/3 binary64) eps)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/3 binary64) eps))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
	99.1%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 #s(approx (- (neg ( (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (-.f64 x (*.f64 #s(literal -1/3 binary64) eps))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
	99.1%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (PI.f64))) #s(literal 2 binary64)))) eps))
✓	99.1%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) #s(literal 2 binary64)))) eps))
✓	99.1%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) #s(literal 2 binary64)))) eps))
	99.1%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (PI.f64) x)) #s(literal 2 binary64)))) eps))
	99.1%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 #s(approx (+ (PI) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (PI.f64) x)))) (PI.f64))) #s(literal 2 binary64)))) eps))
	99.1%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 #s(approx (+ (+ (PI) x) (PI)) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) x)))))) #s(literal 2 binary64)))) eps))
✓	99.1%	#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))
	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 #s(approx (tan (+ x (PI))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)))) eps))
	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (tan x) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))))) eps))
	97.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))) eps))
	47.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (.f64 (.f64 eps eps) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) eps)) (neg.f64 (.f64 (sin.f64 x) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (cos.f64 x))))) eps)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))))))) eps))
✓	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
	97.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 #s(approx (+ ( 17/45 (* x x)) 2/3) (.f64 #s(literal 17/45 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
✓	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 x x #s(literal 1 binary64))) eps))
	2.6%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) #s(approx (+ ( (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) (* x x)) 1) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 17/45 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))) eps))
	5.8%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) #s(approx (+ ( (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) (* x x)) 1) (*.f64 #s(literal 17/45 binary64) (pow.f64 x #s(literal 6 binary64))))) eps))
	6.3%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) #s(approx (+ ( x x) 1) (*.f64 x x))) eps))
	3.2%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 eps (PI.f64))))
✓	97.7%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
	97.7%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 (.f64 #s(approx (+ ( 4/3 (* eps eps)) 1) (.f64 #s(literal 4/3 binary64) (.f64 eps eps))) x) eps (.f64 eps eps)) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))))
	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (fma.f64 #s(approx (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) (.f64 eps (+.f64 eps x))) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))))
	31.9%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (.f64 (.f64 (.f64 eps eps) eps) (-.f64 (-.f64 (+.f64 (fma.f64 (sin.f64 x) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps)) (fma.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (.f64 eps eps) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (.f64 eps eps))) #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64)))))))
	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(approx (+ (* (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) x) (* (+ (* (* eps eps) 1/3) 1) eps)) (.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps x (.f64 x x)))))))
	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) eps) eps) (*.f64 x x) eps)))
	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (+.f64 eps (.f64 (.f64 x x) (+.f64 eps (.f64 #s(literal 2/3 binary64) (.f64 eps (*.f64 x x))))))))
✓	97.7%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps))

Compiler

Compiled 3 191 to 1 717 computations (46.2% saved)

regimes143.0ms (2%)

Memory

16.8MiB live, 80.6MiB allocated; 136ms collecting garbage

Counts

58 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) #s(approx (+ ( x x) 1) (*.f64 x x))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 x x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(approx (+ (* (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) x) (* (+ (* (* eps eps) 1/3) 1) eps)) (.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps x (.f64 x x)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) (.f64 eps x)) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) (.f64 #s(approx (- (+ ( (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 eps x)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(approx (+ (* (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) x) (* (+ (* (* eps eps) 1/3) 1) eps)) (.f64 eps (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (*.f64 eps eps))))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) eps) eps) (*.f64 x x) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (+.f64 eps (.f64 (.f64 x x) (+.f64 eps (.f64 #s(literal 2/3 binary64) (.f64 eps (*.f64 x x))))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (fma.f64 #s(approx (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) (.f64 eps (+.f64 eps x))) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) #s(approx (+ ( (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) (* x x)) 1) (*.f64 #s(literal 17/45 binary64) (pow.f64 x #s(literal 6 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 #s(approx (+ ( 17/45 (* x x)) 2/3) (.f64 #s(literal 17/45 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) x eps) x (.f64 (*.f64 eps eps) #s(literal 1/3 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 (.f64 #s(approx (+ ( 4/3 (* eps eps)) 1) (.f64 #s(literal 4/3 binary64) (.f64 eps eps))) x) eps (.f64 eps eps)) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) #s(approx (+ ( (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) (* x x)) 1) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 17/45 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) x) eps (.f64 eps eps)) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (tan x) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 eps (PI.f64))))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ x (PI))) #s(literal 0 binary64)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 #s(approx (tan (+ x (PI))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(-.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)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (PI.f64) x)) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 #s(approx (- (neg ( (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (-.f64 x (*.f64 #s(literal -1/3 binary64) eps))) 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 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (PI.f64))) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 #s(approx (+ (PI) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (PI.f64) x)))) (PI.f64))) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 #s(approx (+ (+ (PI) x) (PI)) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) x)))))) #s(literal 2 binary64)))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x (PI.f64))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))))
(-.f64 (tan.f64 #s(approx (+ x eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 #s(approx (- (neg ( (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x (.f64 #s(literal 4/3 binary64) eps)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/3 binary64) eps))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(-.f64 (tan.f64 #s(approx (+ x eps) (+.f64 eps x))) (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 eps (PI.f64)))) (tan.f64 (+.f64 x (PI.f64))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) eps))
(-.f64 (tan.f64 #s(approx (+ x eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))) (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))))
(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (tan.f64 #s(approx (+ x eps) (.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))) (tan.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) #s(literal 3 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (fma.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (-.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)))))))
(-.f64 (tan.f64 #s(approx (+ x eps) (.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))) (tan.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (-.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) (.f64 (-.f64 (fma.f64 (-.f64 (.f64 #s(approx (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) #s(literal 1/3 binary64)) eps) (neg.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)) (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))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 (-.f64 #s(approx (neg ( (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (.f64 #s(literal 1/3 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 (PI)))) (.f64 (-.f64 (fma.f64 (-.f64 (.f64 (neg.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(approx (+ ( (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(literal -1/2 binary64))) #s(literal 1/6 binary64))) eps) (neg.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)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(/.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)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 (-.f64 (neg.f64 (.f64 (+.f64 (+.f64 #s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(literal -1/2 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 (PI)))) (.f64 (-.f64 (fma.f64 (-.f64 (.f64 (neg.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (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)))) #s(literal 1/6 binary64))) eps) (neg.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)) (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 #s(approx (- (+ ( (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (.f64 (.f64 eps eps) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) eps)) (neg.f64 (.f64 (sin.f64 x) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (cos.f64 x))))) eps)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (.f64 (.f64 (.f64 eps eps) eps) (-.f64 (-.f64 (+.f64 (fma.f64 (sin.f64 x) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps)) (fma.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (.f64 eps eps) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (.f64 eps eps))) #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 #s(approx (- ( (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (+ (* (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1)) (* (neg (pow (tan x) 2)) (neg (pow (tan x) 2)))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))) (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) (+.f64 (fma.f64 (-.f64 (.f64 (neg.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (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)))) #s(literal 1/6 binary64))) eps) (neg.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)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (/.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (neg.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (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)))) #s(literal 1/6 binary64))) eps) (neg.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 (neg.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (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)))) #s(literal 1/6 binary64))) eps) (neg.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 (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 (.f64 (neg.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (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)))) #s(literal 1/6 binary64))) eps) (neg.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)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))

Outputs

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

Calls

3 calls:

102.0ms	x
23.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
14.0ms	eps

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes46.0ms (0.6%)

Memory

-28.8MiB live, 68.8MiB allocated; 9ms collecting garbage

Counts

52 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) #s(approx (+ ( x x) 1) (*.f64 x x))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 x x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(approx (+ (* (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) x) (* (+ (* (* eps eps) 1/3) 1) eps)) (.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps x (.f64 x x)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) (.f64 eps x)) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) (.f64 #s(approx (- (+ ( (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 eps x)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(approx (+ (* (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) x) (* (+ (* (* eps eps) 1/3) 1) eps)) (.f64 eps (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (*.f64 eps eps))))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) eps) eps) (*.f64 x x) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (+.f64 eps (.f64 (.f64 x x) (+.f64 eps (.f64 #s(literal 2/3 binary64) (.f64 eps (*.f64 x x))))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (fma.f64 #s(approx (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) (.f64 eps (+.f64 eps x))) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) #s(approx (+ ( (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) (* x x)) 1) (*.f64 #s(literal 17/45 binary64) (pow.f64 x #s(literal 6 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 #s(approx (+ ( 17/45 (* x x)) 2/3) (.f64 #s(literal 17/45 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) x eps) x (.f64 (*.f64 eps eps) #s(literal 1/3 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 (.f64 #s(approx (+ ( 4/3 (* eps eps)) 1) (.f64 #s(literal 4/3 binary64) (.f64 eps eps))) x) eps (.f64 eps eps)) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) #s(approx (+ ( (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) (* x x)) 1) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 17/45 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) x) eps (.f64 eps eps)) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (tan x) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 eps (PI.f64))))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ x (PI))) #s(literal 0 binary64)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 #s(approx (tan (+ x (PI))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(-.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)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (PI.f64) x)) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 #s(approx (- (neg ( (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (-.f64 x (*.f64 #s(literal -1/3 binary64) eps))) 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 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (PI.f64))) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 #s(approx (+ (PI) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (PI.f64) x)))) (PI.f64))) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 #s(approx (+ (+ (PI) x) (PI)) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) x)))))) #s(literal 2 binary64)))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x (PI.f64))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))))
(-.f64 (tan.f64 #s(approx (+ x eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 #s(approx (- (neg ( (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x (.f64 #s(literal 4/3 binary64) eps)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/3 binary64) eps))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(-.f64 (tan.f64 #s(approx (+ x eps) (+.f64 eps x))) (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 eps (PI.f64)))) (tan.f64 (+.f64 x (PI.f64))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) eps))
(-.f64 (tan.f64 #s(approx (+ x eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))) (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))))
(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (tan.f64 #s(approx (+ x eps) (.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))) (tan.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) #s(literal 3 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (fma.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (-.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)))))))
(-.f64 (tan.f64 #s(approx (+ x eps) (.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))) (tan.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (-.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) (.f64 (-.f64 (fma.f64 (-.f64 (.f64 #s(approx (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) #s(literal 1/3 binary64)) eps) (neg.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)) (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))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 (-.f64 #s(approx (neg ( (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (.f64 #s(literal 1/3 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 (PI)))) (.f64 (-.f64 (fma.f64 (-.f64 (.f64 (neg.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(approx (+ ( (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(literal -1/2 binary64))) #s(literal 1/6 binary64))) eps) (neg.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)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(/.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)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 (-.f64 (neg.f64 (.f64 (+.f64 (+.f64 #s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(literal -1/2 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))

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

Outputs

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

Calls

3 calls:

14.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
12.0ms	eps
12.0ms	x

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes39.0ms (0.5%)

Memory

18.5MiB live, 65.2MiB allocated; 1ms collecting garbage

Counts

49 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) #s(approx (+ ( x x) 1) (*.f64 x x))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 x x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(approx (+ (* (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) x) (* (+ (* (* eps eps) 1/3) 1) eps)) (.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps x (.f64 x x)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) (.f64 eps x)) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) (.f64 #s(approx (- (+ ( (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 eps x)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(approx (+ (* (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) x) (* (+ (* (* eps eps) 1/3) 1) eps)) (.f64 eps (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (*.f64 eps eps))))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) eps) eps) (*.f64 x x) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (+.f64 eps (.f64 (.f64 x x) (+.f64 eps (.f64 #s(literal 2/3 binary64) (.f64 eps (*.f64 x x))))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (fma.f64 #s(approx (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) (.f64 eps (+.f64 eps x))) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) #s(approx (+ ( (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) (* x x)) 1) (*.f64 #s(literal 17/45 binary64) (pow.f64 x #s(literal 6 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 #s(approx (+ ( 17/45 (* x x)) 2/3) (.f64 #s(literal 17/45 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) x eps) x (.f64 (*.f64 eps eps) #s(literal 1/3 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 (.f64 #s(approx (+ ( 4/3 (* eps eps)) 1) (.f64 #s(literal 4/3 binary64) (.f64 eps eps))) x) eps (.f64 eps eps)) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) #s(approx (+ ( (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) (* x x)) 1) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 17/45 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) x) eps (.f64 eps eps)) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (tan x) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 eps (PI.f64))))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ x (PI))) #s(literal 0 binary64)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 #s(approx (tan (+ x (PI))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(-.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)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (PI.f64) x)) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 #s(approx (- (neg ( (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (-.f64 x (*.f64 #s(literal -1/3 binary64) eps))) 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 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (PI.f64))) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 #s(approx (+ (PI) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (PI.f64) x)))) (PI.f64))) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 #s(approx (+ (+ (PI) x) (PI)) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) x)))))) #s(literal 2 binary64)))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x (PI.f64))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))))
(-.f64 (tan.f64 #s(approx (+ x eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 #s(approx (- (neg ( (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x (.f64 #s(literal 4/3 binary64) eps)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/3 binary64) eps))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(-.f64 (tan.f64 #s(approx (+ x eps) (+.f64 eps x))) (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 eps (PI.f64)))) (tan.f64 (+.f64 x (PI.f64))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) eps))
(-.f64 (tan.f64 #s(approx (+ x eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))) (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))))
(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (tan.f64 #s(approx (+ x eps) (.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))) (tan.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) #s(literal 3 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (fma.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (-.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)))))))
(-.f64 (tan.f64 #s(approx (+ x eps) (.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))) (tan.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (-.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) (.f64 (-.f64 (fma.f64 (-.f64 (.f64 #s(approx (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) #s(literal 1/3 binary64)) eps) (neg.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)) (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))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 (-.f64 #s(approx (neg ( (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (.f64 #s(literal 1/3 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))

Outputs

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

Calls

3 calls:

13.0ms	x
12.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
12.0ms	eps

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes38.0ms (0.5%)

Memory

11.5MiB live, 60.8MiB allocated; 4ms collecting garbage

Counts

45 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) #s(approx (+ ( x x) 1) (*.f64 x x))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 x x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(approx (+ (* (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) x) (* (+ (* (* eps eps) 1/3) 1) eps)) (.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps x (.f64 x x)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) (.f64 eps x)) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) (.f64 #s(approx (- (+ ( (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 eps x)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(approx (+ (* (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) x) (* (+ (* (* eps eps) 1/3) 1) eps)) (.f64 eps (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (*.f64 eps eps))))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) eps) eps) (*.f64 x x) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (+.f64 eps (.f64 (.f64 x x) (+.f64 eps (.f64 #s(literal 2/3 binary64) (.f64 eps (*.f64 x x))))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (fma.f64 #s(approx (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) (.f64 eps (+.f64 eps x))) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) #s(approx (+ ( (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) (* x x)) 1) (*.f64 #s(literal 17/45 binary64) (pow.f64 x #s(literal 6 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 #s(approx (+ ( 17/45 (* x x)) 2/3) (.f64 #s(literal 17/45 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) x eps) x (.f64 (*.f64 eps eps) #s(literal 1/3 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 (.f64 #s(approx (+ ( 4/3 (* eps eps)) 1) (.f64 #s(literal 4/3 binary64) (.f64 eps eps))) x) eps (.f64 eps eps)) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) #s(approx (+ ( (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) (* x x)) 1) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 17/45 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) x) eps (.f64 eps eps)) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (tan x) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 eps (PI.f64))))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ x (PI))) #s(literal 0 binary64)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 #s(approx (tan (+ x (PI))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(-.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)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (PI.f64) x)) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 #s(approx (- (neg ( (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (-.f64 x (*.f64 #s(literal -1/3 binary64) eps))) 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 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (PI.f64))) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 #s(approx (+ (PI) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (PI.f64) x)))) (PI.f64))) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 #s(approx (+ (+ (PI) x) (PI)) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) x)))))) #s(literal 2 binary64)))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x (PI.f64))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))))
(-.f64 (tan.f64 #s(approx (+ x eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 #s(approx (- (neg ( (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x (.f64 #s(literal 4/3 binary64) eps)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/3 binary64) eps))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(-.f64 (tan.f64 #s(approx (+ x eps) (+.f64 eps x))) (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 eps (PI.f64)))) (tan.f64 (+.f64 x (PI.f64))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) eps))
(-.f64 (tan.f64 #s(approx (+ x eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))) (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))))
(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (tan.f64 #s(approx (+ x eps) (.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))) (tan.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) #s(literal 3 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (fma.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (-.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)))))))
(-.f64 (tan.f64 #s(approx (+ x eps) (.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))) (tan.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (-.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)))))))

Outputs

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

Calls

3 calls:

13.0ms	eps
11.0ms	x
11.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.1%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
99.1%	1	`x`
99.1%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes25.0ms (0.3%)

Memory

-5.5MiB live, 41.5MiB allocated; 2ms collecting garbage

Counts

29 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) #s(approx (+ ( x x) 1) (*.f64 x x))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 x x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(approx (+ (* (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) x) (* (+ (* (* eps eps) 1/3) 1) eps)) (.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps x (.f64 x x)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) (.f64 eps x)) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) (.f64 #s(approx (- (+ ( (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 eps x)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(approx (+ (* (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) x) (* (+ (* (* eps eps) 1/3) 1) eps)) (.f64 eps (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (*.f64 eps eps))))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) eps) eps) (*.f64 x x) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (+.f64 eps (.f64 (.f64 x x) (+.f64 eps (.f64 #s(literal 2/3 binary64) (.f64 eps (*.f64 x x))))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (fma.f64 #s(approx (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) (.f64 eps (+.f64 eps x))) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) #s(approx (+ ( (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) (* x x)) 1) (*.f64 #s(literal 17/45 binary64) (pow.f64 x #s(literal 6 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 #s(approx (+ ( 17/45 (* x x)) 2/3) (.f64 #s(literal 17/45 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) x eps) x (.f64 (*.f64 eps eps) #s(literal 1/3 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 (.f64 #s(approx (+ ( 4/3 (* eps eps)) 1) (.f64 #s(literal 4/3 binary64) (.f64 eps eps))) x) eps (.f64 eps eps)) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) #s(approx (+ ( (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) (* x x)) 1) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 17/45 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) x) eps (.f64 eps eps)) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (tan x) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 eps (PI.f64))))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ x (PI))) #s(literal 0 binary64)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 #s(approx (tan (+ x (PI))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(-.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)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (PI.f64) x)) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) #s(literal 2 binary64)))) eps))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.1%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
99.1%	1	`x`
99.1%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes24.0ms (0.3%)

Memory

-6.1MiB live, 40.8MiB allocated; 2ms collecting garbage

Counts

28 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) #s(approx (+ ( x x) 1) (*.f64 x x))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 x x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(approx (+ (* (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) x) (* (+ (* (* eps eps) 1/3) 1) eps)) (.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps x (.f64 x x)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) (.f64 eps x)) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) (.f64 #s(approx (- (+ ( (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 eps x)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(approx (+ (* (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) x) (* (+ (* (* eps eps) 1/3) 1) eps)) (.f64 eps (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (*.f64 eps eps))))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) eps) eps) (*.f64 x x) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (+.f64 eps (.f64 (.f64 x x) (+.f64 eps (.f64 #s(literal 2/3 binary64) (.f64 eps (*.f64 x x))))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (fma.f64 #s(approx (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) (.f64 eps (+.f64 eps x))) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) #s(approx (+ ( (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) (* x x)) 1) (*.f64 #s(literal 17/45 binary64) (pow.f64 x #s(literal 6 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 #s(approx (+ ( 17/45 (* x x)) 2/3) (.f64 #s(literal 17/45 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) x eps) x (.f64 (*.f64 eps eps) #s(literal 1/3 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 (.f64 #s(approx (+ ( 4/3 (* eps eps)) 1) (.f64 #s(literal 4/3 binary64) (.f64 eps eps))) x) eps (.f64 eps eps)) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) #s(approx (+ ( (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) (* x x)) 1) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 17/45 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) x) eps (.f64 eps eps)) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (tan x) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 eps (PI.f64))))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ x (PI))) #s(literal 0 binary64)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 #s(approx (tan (+ x (PI))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(-.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)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (PI.f64) x)) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) #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:

8.0ms	eps
7.0ms	x
7.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.1%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
99.1%	1	`x`
99.1%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes21.0ms (0.3%)

Memory

-10.7MiB live, 35.9MiB allocated; 2ms collecting garbage

Counts

24 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) #s(approx (+ ( x x) 1) (*.f64 x x))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 x x #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(approx (+ (* (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) x) (* (+ (* (* eps eps) 1/3) 1) eps)) (.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps x (.f64 x x)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) (.f64 eps x)) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) (.f64 #s(approx (- (+ ( (- (* (neg (+ (+ (* (- 1/2 (* (cos (+ x x)) 1/2)) (neg (/ (- 1 (neg (pow (tan x) 2))) (+ (* (cos (+ x x)) 1/2) 1/2)))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (neg (* (- 1 (neg (pow (tan x) 2))) (tan x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 eps x)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(approx (+ (* (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) x) (* (+ (* (* eps eps) 1/3) 1) eps)) (.f64 eps (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (*.f64 eps eps))))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) eps) eps) (*.f64 x x) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (+.f64 eps (.f64 (.f64 x x) (+.f64 eps (.f64 #s(literal 2/3 binary64) (.f64 eps (*.f64 x x))))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (fma.f64 #s(approx (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) (.f64 eps (+.f64 eps x))) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) #s(approx (+ ( (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) (* x x)) 1) (*.f64 #s(literal 17/45 binary64) (pow.f64 x #s(literal 6 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 #s(approx (+ ( 17/45 (* x x)) 2/3) (.f64 #s(literal 17/45 binary64) (.f64 x x))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) x eps) x (.f64 (*.f64 eps eps) #s(literal 1/3 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 (.f64 #s(approx (+ ( 4/3 (* eps eps)) 1) (.f64 #s(literal 4/3 binary64) (.f64 eps eps))) x) eps (.f64 eps eps)) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) #s(approx (+ ( (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) (* x x)) 1) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 17/45 binary64) (.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (- (neg (* (+ (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (neg (* (- 1/2 (* 1/2 (cos (* 2 x)))) (/ (- 1 (neg (pow (tan x) 2))) (+ 1/2 (* 1/2 (cos (* 2 x)))))))) 1/6) eps)) (neg (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) x) eps (.f64 eps eps)) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (tan x) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 eps (PI.f64))))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ x (PI))) #s(literal 0 binary64)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 #s(approx (tan (+ x (PI))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))

Outputs

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

Calls

3 calls:

7.0ms	x
6.0ms	eps
6.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

Accuracy	Segments	Branch
98.0%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.0%	1	`x`
98.0%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes10.0ms (0.1%)

Memory

19.4MiB live, 19.4MiB allocated; 0ms collecting garbage

Counts

10 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.0%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.0%	1	`x`
98.0%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes8.0ms (0.1%)

Memory

-37.5MiB live, 11.6MiB allocated; 3ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.0%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.0%	1	`x`
98.0%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes4.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated; 0ms collecting garbage

Accuracy

Total -58.5b remaining (-3948.9%)

Threshold costs -58.5b (-3948.9%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.7%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
97.7%	1	`x`
97.7%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

derivations214.0ms (2.9%)

Memory

13.9MiB live, 202.2MiB allocated; 10ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 287 to 157 computations (45.3% saved)

preprocess93.0ms (1.3%)

Memory: 17.3MiB live, 206.2MiB allocated; 22ms collecting garbage
Compiler: Compiled 321 to 187 computations (41.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze29.0ms (0.4%)

sample4.4s (59.6%)

preprocess55.0ms (0.8%)

series12.0ms (0.2%)

rewrite205.0ms (2.8%)

eval9.0ms (0.1%)

prune11.0ms (0.1%)

series80.0ms (1.1%)

rewrite226.0ms (3.1%)

eval99.0ms (1.4%)

prune42.0ms (0.6%)

series260.0ms (3.6%)

rewrite338.0ms (4.6%)

eval192.0ms (2.6%)

prune67.0ms (0.9%)

series171.0ms (2.3%)

rewrite302.0ms (4.1%)

eval129.0ms (1.8%)

prune68.0ms (0.9%)

regimes143.0ms (2%)

regimes46.0ms (0.6%)

regimes39.0ms (0.5%)

regimes38.0ms (0.5%)

regimes25.0ms (0.3%)

regimes24.0ms (0.3%)

regimes21.0ms (0.3%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes4.0ms (0.1%)

derivations214.0ms (2.9%)

preprocess93.0ms (1.3%)

end0.0ms (0%)

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