Metrics for 2tan (problem 3.3.2)

start0.0ms (0%)

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

analyze33.0ms (0.5%)

Memory

-3.6MiB live, 43.6MiB allocated; 4ms 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)

sample4.6s (70.9%)

Memory

46.0MiB live, 4 071.6MiB allocated; 1.5s collecting garbage

Samples

2.4s	26 077×	0	invalid
807.0ms	5 604×	1	valid
155.0ms	2 652×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.2s

ival-tan: 793.0ms (35.5% of total)

ival-sub!: 501.0ms (22.4% of total)

ival-fabs: 247.0ms (11% of total)

ival-add!: 188.0ms (8.4% of total)

adjust: 172.0ms (7.7% of total)

ival-<: 128.0ms (5.7% of total)

ival-mult!: 128.0ms (5.7% of total)

ival-and: 65.0ms (2.9% of total)

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

Bogosity

explain99.0ms (1.5%)

Memory

-38.0MiB live, 161.3MiB allocated; 11ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
227	3	(8.822160854320601e-150 2.361472059502107e-152)	5	(-6.01688913359833e-185 8.686698557025722e-187)	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
0	0	-	0	-	`eps`
0	0	-	0	-	`(+.f64 x eps)`
0	0	-	0	-	`(tan.f64 x)`
0	0	-	0	-	`(tan.f64 (+.f64 x eps))`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`	cancellation	225	11

Confusion

	Predicted +	Predicted -
+	222	5
-	3	26

Precision

0.9866666666666667

Recall

0.9779735682819384

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	222	5	0
-	3	6	20

Precision?

0.961864406779661

Recall?

1.0

Freqs

test

number	freq
0	31
1	225

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

40.0ms	358×	1	valid
7.0ms	152×	0	valid
1.0ms	2×	2	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-tan: 12.0ms (37.9% of total)

adjust: 11.0ms (34.8% of total)

ival-add!: 7.0ms (22.1% of total)

ival-sub!: 2.0ms (6.3% of total)

preprocess56.0ms (0.9%)

Memory

-4.9MiB live, 39.7MiB 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
▶	61.7%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Compiler

Compiled 14 to 12 computations (14.3% saved)

series13.0ms (0.2%)

Memory

39.7MiB live, 39.7MiB allocated; 0ms collecting garbage

Counts

6 → 36

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite177.0ms (2.7%)

Memory

-2.2MiB live, 177.3MiB allocated; 36ms 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)) (fma.f64 (tan.f64 x) (tan.f64 x) (*.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 (neg.f64 (sin.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 (neg.f64 (sin.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)) (fma.f64 (tan.f64 x) (tan.f64 x) (*.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)) (fma.f64 (tan.f64 x) (tan.f64 x) (.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)) (fma.f64 (tan.f64 x) (tan.f64 x) (.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 (neg.f64 (sin.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 (neg.f64 (sin.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 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (.f64 eps eps) (.f64 x eps)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (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 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 eps eps) (.f64 x eps))))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (.f64 eps eps) (.f64 x eps)))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 x x (-.f64 (.f64 eps eps) (.f64 x eps)))))
(+.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps eps (-.f64 (.f64 x x) (.f64 eps x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (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 (fma.f64 (fma.f64 (neg.f64 x) (+.f64 (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal -1 binary64) (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)))) #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) (/.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 (*.f64 #s(literal 1 binary64) (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 (fma.f64 (neg.f64 x) (+.f64 (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal -1 binary64) (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)))) #s(literal 1/6 binary64)) (.f64 #s(literal 1 binary64) (/.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 (fma.f64 (neg.f64 eps) (+.f64 (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 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 #s(literal 1 binary64) (/.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 (fma.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 (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 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)) (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)))) (+.f64 (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 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 (.f64 #s(literal 1 binary64) (/.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 (fma.f64 (neg.f64 eps) (+.f64 (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 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 #s(literal 1 binary64) (/.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))))

eval10.0ms (0.2%)

Memory: 15.5MiB live, 15.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 929 to 400 computations (79.3% saved)

prune19.0ms (0.3%)

Memory

-43.5MiB live, 11.6MiB allocated; 15ms collecting garbage

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	83	6	89
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	83	7	90

Accuracy

100.0%

Counts

90 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.7%	(/.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)))
▶	3.3%	(-.f64 (tan.f64 (+.f64 (+.f64 eps x) (PI.f64))) (tan.f64 x))
✓	61.7%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶	61.4%	(-.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)))
▶	99.6%	#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)))
▶	99.7%	#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))
▶	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))

Compiler

Compiled 247 to 164 computations (33.6% saved)

series49.0ms (0.7%)

Memory

20.3MiB live, 68.0MiB allocated; 3ms collecting garbage

Counts

38 → 177

Calls

Call 1

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

Outputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (* (- 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 (- 1 (neg (pow (tan x) 2))) #s(hole binary64 1))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (- (* -2/3 (pow x 2)) 1))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -62/315 (pow x 2)) 17/45)) 2/3)) 1))))
#s(approx (pow (tan x) 2) #s(hole binary64 (pow x 2)))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (tan (+ x eps)) #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 (* (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/3 (pow x 2)))))
#s(approx (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))))
#s(approx (+ (* 2/15 (* x x)) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* 2/15 (* x x)) 1/3) #s(hole binary64 (+ 1/3 (* 2/15 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) #s(hole binary64 (/ (sin (+ eps (PI))) (cos (+ eps (PI))))))
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) #s(hole binary64 (+ (/ (sin (+ eps (PI))) (cos (+ eps (PI)))) (/ (* x (pow (sin (+ eps (PI))) 2)) (pow (cos (+ eps (PI))) 2)))))
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) #s(hole binary64 (+ (* x (- (/ (* x (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))) (cos (+ eps (PI)))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))))
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin (+ eps (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (pow (cos (+ eps (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (* 1/6 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))))) (* -1 (/ (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (cos (+ eps (PI))))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))))
#s(approx (tan (+ (+ eps x) (PI))) #s(hole binary64 (/ (sin (+ eps (PI))) (cos (+ eps (PI))))))
#s(approx (tan (+ (+ eps x) (PI))) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))))
#s(approx (tan (+ (+ eps x) (PI))) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))) (cos (+ eps (PI))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))))
#s(approx (tan (+ (+ eps x) (PI))) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ eps (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (pow (cos (+ eps (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (* 1/6 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))))) (* -1 (/ (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (cos (+ eps (PI)))))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))))
#s(approx (+ (+ eps x) (PI)) #s(hole binary64 (+ eps (PI))))
#s(approx (+ (+ eps x) (PI)) #s(hole binary64 (+ eps (+ x (PI)))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (+ (* x (+ (/ (* x (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (/ (pow (sin eps) 2) (pow (cos eps) 2))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (+ (/ (* x (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2)))))
#s(approx (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) #s(hole binary64 (/ (* x (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))
#s(approx (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) #s(hole binary64 (* x (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))
#s(approx (* x (sin eps)) #s(hole binary64 (* x (sin eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (pow (tan x) 2) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (tan (+ x eps)) #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 (* (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* 2/15 (pow x 5))))
#s(approx (* (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (+ 2/15 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* 2/15 (pow x 4))))
#s(approx (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 2/15 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* 2/15 (* x x)) 1/3) #s(hole binary64 (* 2/15 (pow x 2))))
#s(approx (+ (* 2/15 (* x x)) 1/3) #s(hole binary64 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) #s(hole binary64 (- (/ (sin (+ eps (+ x (PI)))) (cos (+ eps (+ x (PI))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ (+ eps x) (PI))) #s(hole binary64 (/ (sin (+ eps (+ x (PI)))) (cos (+ eps (+ x (PI)))))))
#s(approx (+ (+ eps x) (PI)) #s(hole binary64 x))
#s(approx (+ (+ eps x) (PI)) #s(hole binary64 (* x (+ 1 (+ (/ eps x) (/ (PI) x))))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (/ (* (pow x 2) (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* (pow x 2) (+ (/ (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps)) (/ (pow (sin eps) 2) (* x (pow (cos eps) 2)))))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* (pow x 2) (+ (/ (sin eps) (* (pow x 2) (cos eps))) (+ (/ (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps)) (/ (pow (sin eps) 2) (* x (pow (cos eps) 2))))))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (/ (* x (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* x (+ (/ (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps)) (/ (pow (sin eps) 2) (* x (pow (cos eps) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x 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 (* (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 2/15)))))
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) #s(hole binary64 (- (/ (sin (- (+ eps (PI)) (* -1 x))) (cos (- (+ eps (PI)) (* -1 x)))) (/ (sin x) (cos x)))))
#s(approx (tan (+ (+ eps x) (PI))) #s(hole binary64 (/ (sin (- (+ eps (PI)) (* -1 x))) (cos (- (+ eps (PI)) (* -1 x))))))
#s(approx (+ (+ eps x) (PI)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ eps (PI)) x)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (sin eps) (* x (cos eps)))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) x)) (/ (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (* x (pow (cos eps) 2)))))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (tan eps) #s(hole binary64 eps))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) #s(hole binary64 (- (/ (sin (+ x (PI))) (cos (+ x (PI)))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) #s(hole binary64 (- (+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) #s(hole binary64 (- (+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))) (cos (+ x (PI))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) #s(hole binary64 (- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (pow (cos (+ x (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (* 1/6 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))))) (* -1 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI)))))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ (+ eps x) (PI))) #s(hole binary64 (/ (sin (+ x (PI))) (cos (+ x (PI))))))
#s(approx (tan (+ (+ eps x) (PI))) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (tan (+ (+ eps x) (PI))) #s(hole binary64 (+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))) (cos (+ x (PI))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (tan (+ (+ eps x) (PI))) #s(hole binary64 (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (pow (cos (+ x (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (* 1/6 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))))) (* -1 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI)))))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (+ (+ eps x) (PI)) #s(hole binary64 (+ x (PI))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* eps (+ 1 (pow x 2)))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* eps (+ 1 (+ (* eps x) (pow x 2))))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* eps (+ 1 (+ (* eps (+ x (* eps (+ 1/3 (* x (- (* 5/6 x) (* -1/2 x))))))) (pow x 2))))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* eps (+ 1 (+ (* eps (+ x (* eps (+ 1/3 (+ (* 2/3 (* eps x)) (* x (- (* 5/6 x) (* -1/2 x)))))))) (pow x 2))))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* eps x)))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* eps (+ eps x))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* eps (+ x (* eps (+ 1 (* eps (- (* 5/6 x) (* -1/2 x)))))))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* eps (+ x (* eps (+ 1 (* eps (- (+ (* 2/3 eps) (* 5/6 x)) (* -1/2 x)))))))))
#s(approx (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) #s(hole binary64 (* eps x)))
#s(approx (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) #s(hole binary64 (* eps (+ x (* (pow eps 2) (- (* 5/6 x) (* -1/2 x)))))))
#s(approx (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) #s(hole binary64 (* eps (+ x (* (pow eps 2) (- (+ (* 5/6 x) (* (pow eps 2) (- (* 61/120 x) (+ (* -1/2 (- (* 5/6 x) (* -1/2 x))) (* 1/24 x))))) (* -1/2 x)))))))
#s(approx (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) #s(hole binary64 (* eps (+ x (* (pow eps 2) (- (+ (* 5/6 x) (* (pow eps 2) (- (+ (* 61/120 x) (* (pow eps 2) (- (* 277/1008 x) (+ (* -1/2 (- (* 61/120 x) (+ (* -1/2 (- (* 5/6 x) (* -1/2 x))) (* 1/24 x)))) (+ (* -1/720 x) (* 1/24 (- (* 5/6 x) (* -1/2 x)))))))) (+ (* -1/2 (- (* 5/6 x) (* -1/2 x))) (* 1/24 x))))) (* -1/2 x)))))))
#s(approx (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) #s(hole binary64 (* eps x)))
#s(approx (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) #s(hole binary64 (* eps (+ x (* 5/6 (* (pow eps 2) x))))))
#s(approx (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) #s(hole binary64 (* eps (+ x (* (pow eps 2) (+ (* 61/120 (* (pow eps 2) x)) (* 5/6 x)))))))
#s(approx (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) #s(hole binary64 (* eps (+ x (* (pow eps 2) (+ (* 5/6 x) (* (pow eps 2) (+ (* 277/1008 (* (pow eps 2) x)) (* 61/120 x)))))))))
#s(approx (* x (sin eps)) #s(hole binary64 (* eps x)))
#s(approx (* x (sin eps)) #s(hole binary64 (* eps (+ x (* -1/6 (* (pow eps 2) x))))))
#s(approx (* x (sin eps)) #s(hole binary64 (* eps (+ x (* (pow eps 2) (+ (* -1/6 x) (* 1/120 (* (pow eps 2) x))))))))
#s(approx (* x (sin eps)) #s(hole binary64 (* eps (+ x (* (pow eps 2) (+ (* -1/6 x) (* (pow eps 2) (+ (* -1/5040 (* (pow eps 2) x)) (* 1/120 x)))))))))
#s(approx (sin eps) #s(hole binary64 eps))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx (- 1 (neg (pow (tan eps) 2))) #s(hole binary64 1))
#s(approx (- 1 (neg (pow (tan eps) 2))) #s(hole binary64 (+ 1 (pow eps 2))))
#s(approx (- 1 (neg (pow (tan eps) 2))) #s(hole binary64 (+ 1 (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2)))))))
#s(approx (- 1 (neg (pow (tan eps) 2))) #s(hole binary64 (+ 1 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 2/3 (* 17/45 (pow eps 2)))))))))
#s(approx (neg (pow (tan eps) 2)) #s(hole binary64 (* -1 (pow eps 2))))
#s(approx (neg (pow (tan eps) 2)) #s(hole binary64 (* (pow eps 2) (- (* -2/3 (pow eps 2)) 1))))
#s(approx (neg (pow (tan eps) 2)) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (- (* -17/45 (pow eps 2)) 2/3)) 1))))
#s(approx (neg (pow (tan eps) 2)) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/315 (pow eps 2)) 17/45)) 2/3)) 1))))
#s(approx (pow (tan eps) 2) #s(hole binary64 (pow eps 2)))
#s(approx (pow (tan eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2))))))
#s(approx (pow (tan eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 2/3 (* 17/45 (pow eps 2))))))))
#s(approx (pow (tan eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 2/3 (* (pow eps 2) (+ 17/45 (* 62/315 (pow eps 2))))))))))
#s(approx (cos eps) #s(hole binary64 1))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* -1/2 (pow eps 2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
#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) (PI)) #s(hole binary64 eps))
#s(approx (+ (+ eps x) (PI)) #s(hole binary64 (* eps (+ 1 (+ (/ x eps) (/ (PI) eps))))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (- 1 (neg (pow (tan eps) 2))) #s(hole binary64 (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))
#s(approx (neg (pow (tan eps) 2)) #s(hole binary64 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))
#s(approx (pow (tan eps) 2) #s(hole binary64 (/ (pow (sin eps) 2) (pow (cos eps) 2))))
#s(approx (cos eps) #s(hole binary64 (cos 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)))))
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) #s(hole binary64 (- (/ (sin (- (+ x (PI)) (* -1 eps))) (cos (- (+ x (PI)) (* -1 eps)))) (/ (sin x) (cos x)))))
#s(approx (tan (+ (+ eps x) (PI))) #s(hole binary64 (/ (sin (- (+ x (PI)) (* -1 eps))) (cos (- (+ x (PI)) (* -1 eps))))))
#s(approx (+ (+ eps x) (PI)) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (PI)) eps)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	eps	@	0	((- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (- 1 (neg (pow (tan x) 2))) 1 (neg (pow (tan x) 2)) (pow (tan x) 2) (tan x) x 2 eps (- (tan (+ x eps)) (tan x)) (tan eps) (- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x) (* (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) (+ (* 2/15 (* x x)) 1/3) 2/15 (* x x) 1/3 (- (tan (+ (+ eps x) (PI))) (tan x)) (tan (+ (+ eps x) (PI))) (+ (+ eps x) (PI)) (+ eps x) (PI) (- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (* x (sin eps)) (sin eps) (- 1 (neg (pow (tan eps) 2))) (neg (pow (tan eps) 2)) (pow (tan eps) 2) (cos eps))
9.0ms	x	@	inf	((- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (- 1 (neg (pow (tan x) 2))) 1 (neg (pow (tan x) 2)) (pow (tan x) 2) (tan x) x 2 eps (- (tan (+ x eps)) (tan x)) (tan eps) (- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x) (* (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) (+ (* 2/15 (* x x)) 1/3) 2/15 (* x x) 1/3 (- (tan (+ (+ eps x) (PI))) (tan x)) (tan (+ (+ eps x) (PI))) (+ (+ eps x) (PI)) (+ eps x) (PI) (- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (* x (sin eps)) (sin eps) (- 1 (neg (pow (tan eps) 2))) (neg (pow (tan eps) 2)) (pow (tan eps) 2) (cos eps))
9.0ms	x	@	0	((- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (- 1 (neg (pow (tan x) 2))) 1 (neg (pow (tan x) 2)) (pow (tan x) 2) (tan x) x 2 eps (- (tan (+ x eps)) (tan x)) (tan eps) (- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x) (* (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) (+ (* 2/15 (* x x)) 1/3) 2/15 (* x x) 1/3 (- (tan (+ (+ eps x) (PI))) (tan x)) (tan (+ (+ eps x) (PI))) (+ (+ eps x) (PI)) (+ eps x) (PI) (- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (* x (sin eps)) (sin eps) (- 1 (neg (pow (tan eps) 2))) (neg (pow (tan eps) 2)) (pow (tan eps) 2) (cos eps))
6.0ms	x	@	-inf	((- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (- 1 (neg (pow (tan x) 2))) 1 (neg (pow (tan x) 2)) (pow (tan x) 2) (tan x) x 2 eps (- (tan (+ x eps)) (tan x)) (tan eps) (- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x) (* (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) (+ (* 2/15 (* x x)) 1/3) 2/15 (* x x) 1/3 (- (tan (+ (+ eps x) (PI))) (tan x)) (tan (+ (+ eps x) (PI))) (+ (+ eps x) (PI)) (+ eps x) (PI) (- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (* x (sin eps)) (sin eps) (- 1 (neg (pow (tan eps) 2))) (neg (pow (tan eps) 2)) (pow (tan eps) 2) (cos eps))
6.0ms	eps	@	-inf	((- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (- 1 (neg (pow (tan x) 2))) 1 (neg (pow (tan x) 2)) (pow (tan x) 2) (tan x) x 2 eps (- (tan (+ x eps)) (tan x)) (tan eps) (- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x) (* (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) (+ (* 2/15 (* x x)) 1/3) 2/15 (* x x) 1/3 (- (tan (+ (+ eps x) (PI))) (tan x)) (tan (+ (+ eps x) (PI))) (+ (+ eps x) (PI)) (+ eps x) (PI) (- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (* x (sin eps)) (sin eps) (- 1 (neg (pow (tan eps) 2))) (neg (pow (tan eps) 2)) (pow (tan eps) 2) (cos eps))

rewrite182.0ms (2.8%)

Memory

11.6MiB live, 194.8MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	813	5582
0	867	4968
1	5010	4932
0	8087	4786

Stop Event

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

Counts

215 → 341

Calls

Call 1

Inputs
#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 #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)
eps
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
(tan.f64 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)))
(tan.f64 (+.f64 x eps))
(+.f64 x eps)
#s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(.f64 (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)
(fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64))
#s(literal 2/15 binary64)
(*.f64 x x)
#s(literal 1/3 binary64)
(-.f64 (tan.f64 (+.f64 (+.f64 eps x) (PI.f64))) (tan.f64 x))
(tan.f64 (+.f64 (+.f64 eps x) (PI.f64)))
(+.f64 (+.f64 eps x) (PI.f64))
(+.f64 eps x)
(PI.f64)
#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)))
(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))
(-.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))))
(/.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))
(.f64 (.f64 x (sin.f64 eps)) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))
(*.f64 x (sin.f64 eps))
(sin.f64 eps)
(-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
(neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))
(pow.f64 (tan.f64 eps) #s(literal 2 binary64))
(cos.f64 eps)
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (* (- 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 (- 1 (neg (pow (tan x) 2))) #s(hole binary64 1))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (- (* -2/3 (pow x 2)) 1))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -62/315 (pow x 2)) 17/45)) 2/3)) 1))))
#s(approx (pow (tan x) 2) #s(hole binary64 (pow x 2)))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (tan (+ x eps)) #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 (* (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/3 (pow x 2)))))
#s(approx (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))))
#s(approx (+ (* 2/15 (* x x)) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* 2/15 (* x x)) 1/3) #s(hole binary64 (+ 1/3 (* 2/15 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) #s(hole binary64 (/ (sin (+ eps (PI))) (cos (+ eps (PI))))))
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) #s(hole binary64 (+ (/ (sin (+ eps (PI))) (cos (+ eps (PI)))) (/ (* x (pow (sin (+ eps (PI))) 2)) (pow (cos (+ eps (PI))) 2)))))
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) #s(hole binary64 (+ (* x (- (/ (* x (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))) (cos (+ eps (PI)))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))))
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin (+ eps (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (pow (cos (+ eps (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (* 1/6 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))))) (* -1 (/ (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (cos (+ eps (PI))))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))))
#s(approx (tan (+ (+ eps x) (PI))) #s(hole binary64 (/ (sin (+ eps (PI))) (cos (+ eps (PI))))))
#s(approx (tan (+ (+ eps x) (PI))) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))))
#s(approx (tan (+ (+ eps x) (PI))) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))) (cos (+ eps (PI))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))))
#s(approx (tan (+ (+ eps x) (PI))) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ eps (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (pow (cos (+ eps (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (* 1/6 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))))) (* -1 (/ (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (cos (+ eps (PI)))))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))))
#s(approx (+ (+ eps x) (PI)) #s(hole binary64 (+ eps (PI))))
#s(approx (+ (+ eps x) (PI)) #s(hole binary64 (+ eps (+ x (PI)))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (+ (* x (+ (/ (* x (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (/ (pow (sin eps) 2) (pow (cos eps) 2))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (+ (/ (* x (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2)))))
#s(approx (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) #s(hole binary64 (/ (* x (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))
#s(approx (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) #s(hole binary64 (* x (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))
#s(approx (* x (sin eps)) #s(hole binary64 (* x (sin eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (pow (tan x) 2) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (tan (+ x eps)) #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 (* (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* 2/15 (pow x 5))))
#s(approx (* (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (+ 2/15 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* 2/15 (pow x 4))))
#s(approx (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 2/15 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* 2/15 (* x x)) 1/3) #s(hole binary64 (* 2/15 (pow x 2))))
#s(approx (+ (* 2/15 (* x x)) 1/3) #s(hole binary64 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) #s(hole binary64 (- (/ (sin (+ eps (+ x (PI)))) (cos (+ eps (+ x (PI))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ (+ eps x) (PI))) #s(hole binary64 (/ (sin (+ eps (+ x (PI)))) (cos (+ eps (+ x (PI)))))))
#s(approx (+ (+ eps x) (PI)) #s(hole binary64 x))
#s(approx (+ (+ eps x) (PI)) #s(hole binary64 (* x (+ 1 (+ (/ eps x) (/ (PI) x))))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (/ (* (pow x 2) (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* (pow x 2) (+ (/ (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps)) (/ (pow (sin eps) 2) (* x (pow (cos eps) 2)))))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* (pow x 2) (+ (/ (sin eps) (* (pow x 2) (cos eps))) (+ (/ (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps)) (/ (pow (sin eps) 2) (* x (pow (cos eps) 2))))))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (/ (* x (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* x (+ (/ (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps)) (/ (pow (sin eps) 2) (* x (pow (cos eps) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x 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 (* (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 2/15)))))
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) #s(hole binary64 (- (/ (sin (- (+ eps (PI)) (* -1 x))) (cos (- (+ eps (PI)) (* -1 x)))) (/ (sin x) (cos x)))))
#s(approx (tan (+ (+ eps x) (PI))) #s(hole binary64 (/ (sin (- (+ eps (PI)) (* -1 x))) (cos (- (+ eps (PI)) (* -1 x))))))
#s(approx (+ (+ eps x) (PI)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ eps (PI)) x)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (sin eps) (* x (cos eps)))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) x)) (/ (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (* x (pow (cos eps) 2)))))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (tan eps) #s(hole binary64 eps))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) #s(hole binary64 (- (/ (sin (+ x (PI))) (cos (+ x (PI)))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) #s(hole binary64 (- (+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) #s(hole binary64 (- (+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))) (cos (+ x (PI))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) #s(hole binary64 (- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (pow (cos (+ x (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (* 1/6 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))))) (* -1 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI)))))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ (+ eps x) (PI))) #s(hole binary64 (/ (sin (+ x (PI))) (cos (+ x (PI))))))
#s(approx (tan (+ (+ eps x) (PI))) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (tan (+ (+ eps x) (PI))) #s(hole binary64 (+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))) (cos (+ x (PI))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (tan (+ (+ eps x) (PI))) #s(hole binary64 (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (pow (cos (+ x (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (* 1/6 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))))) (* -1 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI)))))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (+ (+ eps x) (PI)) #s(hole binary64 (+ x (PI))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* eps (+ 1 (pow x 2)))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* eps (+ 1 (+ (* eps x) (pow x 2))))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* eps (+ 1 (+ (* eps (+ x (* eps (+ 1/3 (* x (- (* 5/6 x) (* -1/2 x))))))) (pow x 2))))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* eps (+ 1 (+ (* eps (+ x (* eps (+ 1/3 (+ (* 2/3 (* eps x)) (* x (- (* 5/6 x) (* -1/2 x)))))))) (pow x 2))))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* eps x)))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* eps (+ eps x))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* eps (+ x (* eps (+ 1 (* eps (- (* 5/6 x) (* -1/2 x)))))))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* eps (+ x (* eps (+ 1 (* eps (- (+ (* 2/3 eps) (* 5/6 x)) (* -1/2 x)))))))))
#s(approx (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) #s(hole binary64 (* eps x)))
#s(approx (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) #s(hole binary64 (* eps (+ x (* (pow eps 2) (- (* 5/6 x) (* -1/2 x)))))))
#s(approx (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) #s(hole binary64 (* eps (+ x (* (pow eps 2) (- (+ (* 5/6 x) (* (pow eps 2) (- (* 61/120 x) (+ (* -1/2 (- (* 5/6 x) (* -1/2 x))) (* 1/24 x))))) (* -1/2 x)))))))
#s(approx (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) #s(hole binary64 (* eps (+ x (* (pow eps 2) (- (+ (* 5/6 x) (* (pow eps 2) (- (+ (* 61/120 x) (* (pow eps 2) (- (* 277/1008 x) (+ (* -1/2 (- (* 61/120 x) (+ (* -1/2 (- (* 5/6 x) (* -1/2 x))) (* 1/24 x)))) (+ (* -1/720 x) (* 1/24 (- (* 5/6 x) (* -1/2 x)))))))) (+ (* -1/2 (- (* 5/6 x) (* -1/2 x))) (* 1/24 x))))) (* -1/2 x)))))))
#s(approx (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) #s(hole binary64 (* eps x)))
#s(approx (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) #s(hole binary64 (* eps (+ x (* 5/6 (* (pow eps 2) x))))))
#s(approx (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) #s(hole binary64 (* eps (+ x (* (pow eps 2) (+ (* 61/120 (* (pow eps 2) x)) (* 5/6 x)))))))
#s(approx (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) #s(hole binary64 (* eps (+ x (* (pow eps 2) (+ (* 5/6 x) (* (pow eps 2) (+ (* 277/1008 (* (pow eps 2) x)) (* 61/120 x)))))))))
#s(approx (* x (sin eps)) #s(hole binary64 (* eps x)))
#s(approx (* x (sin eps)) #s(hole binary64 (* eps (+ x (* -1/6 (* (pow eps 2) x))))))
#s(approx (* x (sin eps)) #s(hole binary64 (* eps (+ x (* (pow eps 2) (+ (* -1/6 x) (* 1/120 (* (pow eps 2) x))))))))
#s(approx (* x (sin eps)) #s(hole binary64 (* eps (+ x (* (pow eps 2) (+ (* -1/6 x) (* (pow eps 2) (+ (* -1/5040 (* (pow eps 2) x)) (* 1/120 x)))))))))
#s(approx (sin eps) #s(hole binary64 eps))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx (- 1 (neg (pow (tan eps) 2))) #s(hole binary64 1))
#s(approx (- 1 (neg (pow (tan eps) 2))) #s(hole binary64 (+ 1 (pow eps 2))))
#s(approx (- 1 (neg (pow (tan eps) 2))) #s(hole binary64 (+ 1 (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2)))))))
#s(approx (- 1 (neg (pow (tan eps) 2))) #s(hole binary64 (+ 1 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 2/3 (* 17/45 (pow eps 2)))))))))
#s(approx (neg (pow (tan eps) 2)) #s(hole binary64 (* -1 (pow eps 2))))
#s(approx (neg (pow (tan eps) 2)) #s(hole binary64 (* (pow eps 2) (- (* -2/3 (pow eps 2)) 1))))
#s(approx (neg (pow (tan eps) 2)) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (- (* -17/45 (pow eps 2)) 2/3)) 1))))
#s(approx (neg (pow (tan eps) 2)) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/315 (pow eps 2)) 17/45)) 2/3)) 1))))
#s(approx (pow (tan eps) 2) #s(hole binary64 (pow eps 2)))
#s(approx (pow (tan eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2))))))
#s(approx (pow (tan eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 2/3 (* 17/45 (pow eps 2))))))))
#s(approx (pow (tan eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 2/3 (* (pow eps 2) (+ 17/45 (* 62/315 (pow eps 2))))))))))
#s(approx (cos eps) #s(hole binary64 1))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* -1/2 (pow eps 2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
#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) (PI)) #s(hole binary64 eps))
#s(approx (+ (+ eps x) (PI)) #s(hole binary64 (* eps (+ 1 (+ (/ x eps) (/ (PI) eps))))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (- 1 (neg (pow (tan eps) 2))) #s(hole binary64 (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))
#s(approx (neg (pow (tan eps) 2)) #s(hole binary64 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))
#s(approx (pow (tan eps) 2) #s(hole binary64 (/ (pow (sin eps) 2) (pow (cos eps) 2))))
#s(approx (cos eps) #s(hole binary64 (cos 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)))))
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) #s(hole binary64 (- (/ (sin (- (+ x (PI)) (* -1 eps))) (cos (- (+ x (PI)) (* -1 eps)))) (/ (sin x) (cos x)))))
#s(approx (tan (+ (+ eps x) (PI))) #s(hole binary64 (/ (sin (- (+ x (PI)) (* -1 eps))) (cos (- (+ x (PI)) (* -1 eps))))))
#s(approx (+ (+ eps x) (PI)) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (PI)) eps)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))

Outputs
#s(approx (- (tan (+ (+ eps x) (PI))) (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 eps (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))
(-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
#s(literal 1 binary64)
(neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (tan.f64 x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 1 binary64)))
(*.f64 (tan.f64 x) (tan.f64 x))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (+.f64 #s(literal 0 binary64) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x))))
(/.f64 (+.f64 (tan.f64 x) #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(literal 0 binary64))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))
(tan.f64 (+.f64 (PI.f64) x))
(tan.f64 x)
x
#s(literal 2 binary64)
eps
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) (tan.f64 eps))
(/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (neg.f64 (neg.f64 (cos.f64 eps))))
(/.f64 (+.f64 #s(literal 0 binary64) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 eps))))
(/.f64 (+.f64 (tan.f64 eps) #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) #s(literal 0 binary64))))
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(tan.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64)))
(tan.f64 (+.f64 (PI.f64) eps))
(tan.f64 eps)
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64))) (+.f64 (tan.f64 (+.f64 eps x)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (+.f64 (pow.f64 #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)) (.f64 (tan.f64 (+.f64 eps x)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x))))))
(-.f64 (tan.f64 (+.f64 eps x)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 (+.f64 #s(literal 0 binary64) (tan.f64 (+.f64 eps x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 (+.f64 eps x)))))
(/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 (+.f64 eps x)))) (neg.f64 (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 (+.f64 (tan.f64 (+.f64 eps x)) #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (+.f64 eps x)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (neg.f64 (cos.f64 (+.f64 eps x))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps)))
(tan.f64 (+.f64 x (+.f64 (PI.f64) eps)))
(tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (+.f64 eps x)) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (+.f64 (PI.f64) (+.f64 eps x)) (PI.f64)))
(tan.f64 (+.f64 (PI.f64) (+.f64 eps x)))
(tan.f64 (+.f64 eps x))
(/.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (-.f64 eps x))
(/.f64 (-.f64 (.f64 x x) (.f64 eps eps)) (-.f64 x eps))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (.f64 x x) (.f64 eps x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 eps eps) (.f64 eps x))))
(+.f64 eps x)
(+.f64 x eps)
#s(approx (tan x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) x) x) x))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) x) x)))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 x (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) x) x)))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) x) x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) x) x)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) x) x) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) x) x)))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) x) x) #s(literal 1 binary64)))))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64))))
(+.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) x) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) x) x))
(/.f64 (-.f64 #s(literal 1/9 binary64) (pow.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))
(/.f64 (+.f64 #s(literal 1/27 binary64) (.f64 #s(literal 8/3375 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64))))))
(/.f64 (fma.f64 #s(literal 8/3375 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))))
(fma.f64 (*.f64 #s(literal 2/15 binary64) x) x #s(literal 1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64))
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(-.f64 #s(literal 1/3 binary64) (.f64 #s(literal -2/15 binary64) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
#s(literal 2/15 binary64)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
#s(literal 1/3 binary64)
(/.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)) (fma.f64 (tan.f64 x) (tan.f64 x) (*.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 (sin.f64 (-.f64 (+.f64 (PI.f64) (+.f64 eps x)) x)) (*.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(/.f64 (+.f64 #s(literal 0 binary64) (tan.f64 (+.f64 eps x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 (+.f64 eps x)))))
(/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 (+.f64 eps x)))) (neg.f64 (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 (+.f64 (tan.f64 (+.f64 eps x)) #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (+.f64 eps x)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (neg.f64 (cos.f64 (+.f64 eps x))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps)))
(tan.f64 (+.f64 x (+.f64 (PI.f64) eps)))
(tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (+.f64 eps x)) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (+.f64 (PI.f64) (+.f64 eps x)) (PI.f64)))
(tan.f64 (+.f64 (PI.f64) (+.f64 eps x)))
(tan.f64 (+.f64 eps x))
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (+.f64 (PI.f64) x) #s(literal 2 binary64))) (-.f64 eps (+.f64 (PI.f64) x)))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) (-.f64 (+.f64 eps x) (PI.f64)))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (+.f64 (PI.f64) x) #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (pow.f64 (+.f64 (PI.f64) x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (PI.f64) x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (+.f64 eps x) (PI.f64)))))
(+.f64 (+.f64 (PI.f64) x) eps)
(+.f64 (PI.f64) (+.f64 eps x))
(+.f64 (+.f64 eps x) (PI.f64))
(+.f64 eps (+.f64 (PI.f64) x))
(/.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (-.f64 eps x))
(/.f64 (-.f64 (.f64 x x) (.f64 eps eps)) (-.f64 x eps))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (.f64 x x) (.f64 eps x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 eps eps) (.f64 eps x))))
(+.f64 eps x)
(+.f64 x eps)
(PI.f64)
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) (fma.f64 (-.f64 (.f64 (.f64 (sin.f64 eps) x) (/.f64 (-.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)))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 (sin.f64 eps) x) (/.f64 (-.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) #s(literal 2 binary64)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (-.f64 (.f64 (-.f64 (.f64 (.f64 (sin.f64 eps) x) (/.f64 (-.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)))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 (sin.f64 eps) x) (/.f64 (-.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) #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 (sin.f64 eps) x) (/.f64 (-.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) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 (.f64 (.f64 (sin.f64 eps) x) (/.f64 (-.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)))))
(fma.f64 (-.f64 (.f64 (.f64 (sin.f64 eps) x) (/.f64 (-.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))
(fma.f64 x (-.f64 (.f64 (.f64 (sin.f64 eps) x) (/.f64 (-.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)))) (tan.f64 eps))
(+.f64 (.f64 (-.f64 (.f64 (*.f64 (sin.f64 eps) x) (/.f64 (-.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))
(+.f64 (tan.f64 eps) (.f64 (-.f64 (.f64 (*.f64 (sin.f64 eps) x) (/.f64 (-.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))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (sin.f64 eps) x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps))) #s(literal 2 binary64)) (pow.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (*.f64 (sin.f64 eps) x) (/.f64 (-.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)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (sin.f64 eps) x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (sin.f64 eps) x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps))) #s(literal 2 binary64)) (+.f64 (pow.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 (sin.f64 eps) x) (/.f64 (-.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)))))))
(-.f64 (.f64 (.f64 (sin.f64 eps) x) (/.f64 (-.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))))
(.f64 (.f64 (sin.f64 eps) x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (.f64 (sin.f64 eps) x))) (neg.f64 (cos.f64 eps)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (.f64 (sin.f64 eps) x)) (cos.f64 eps))
(.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (.f64 (sin.f64 eps) x))
(.f64 (.f64 (sin.f64 eps) x) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))
(.f64 x (.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))))
(*.f64 (sin.f64 eps) x)
(*.f64 x (sin.f64 eps))
(sin.f64 eps)
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))))
(-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
(neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))
(*.f64 (pow.f64 (tan.f64 eps) #s(literal 1 binary64)) (pow.f64 (tan.f64 eps) #s(literal 1 binary64)))
(*.f64 (tan.f64 eps) (tan.f64 eps))
(pow.f64 (pow.f64 (tan.f64 eps) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (tan.f64 eps) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (tan.f64 eps)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (tan.f64 eps)) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (tan.f64 eps)) #s(literal 2 binary64))))
(fma.f64 (sin.f64 eps) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 eps) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (fma.f64 #s(literal -1 binary64) eps (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 eps)))
(cos.f64 (neg.f64 eps))
(cos.f64 eps)
(+.f64 (.f64 (sin.f64 eps) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 eps) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) (fma.f64 x (/.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 (+ (+ eps x) (PI))) (tan x)) (fma.f64 (fma.f64 x (.f64 (sin.f64 eps) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.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))))) x (tan.f64 eps)))
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) (fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (+.f64 (fma.f64 (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.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)))) #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (sin.f64 eps) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (cos.f64 eps))))) x (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) x (tan.f64 eps)))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps)
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (*.f64 x x) eps eps))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) eps) eps) (*.f64 x x) eps))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 2/3 binary64) eps)) (.f64 x x) eps) (*.f64 x x) eps))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(literal 1 binary64))
#s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))
#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)))
#s(approx (neg (pow (tan x) 2)) (neg.f64 (*.f64 x x)))
#s(approx (neg (pow (tan x) 2)) (.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (.f64 x x)) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (neg (pow (tan x) 2)) (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -17/45 binary64) (.f64 x x)) #s(literal 2/3 binary64)) (.f64 x x)) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (neg (pow (tan x) 2)) (.f64 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -62/315 binary64) (.f64 x x)) #s(literal 17/45 binary64)) (.f64 x x)) #s(literal 2/3 binary64)) (.f64 x x)) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (pow (tan x) 2) (*.f64 x x))
#s(approx (pow (tan x) 2) (.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (pow (tan x) 2) (.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (pow (tan x) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (tan x) 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 (.f64 x x) #s(literal 2/15 binary64) #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 x x)
#s(approx (tan (+ (+ eps x) (PI))) (tan.f64 eps))
#s(approx (tan (+ (+ eps x) (PI))) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) x (tan.f64 eps)))
#s(approx (tan (+ (+ eps x) (PI))) (fma.f64 (-.f64 (fma.f64 x (*.f64 (sin.f64 eps) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (cos.f64 eps))) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) x (tan.f64 eps)))
#s(approx (tan (+ (+ eps x) (PI))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (neg.f64 x) (+.f64 (fma.f64 (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.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)))) #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) #s(literal 1/6 binary64)) (.f64 #s(literal 1 binary64) (.f64 (sin.f64 eps) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (cos.f64 eps))))) x #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) x (tan.f64 eps)))
#s(approx (+ eps x) eps)
#s(approx (+ eps x) (+.f64 eps x))
#s(approx (* (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) x) x)
#s(approx (* (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* 2/15 (* x x)) 1/3) #s(literal 1/3 binary64))
#s(approx (+ (* 2/15 (* x x)) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) (fma.f64 x (/.f64 (pow.f64 (neg.f64 (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (tan.f64 eps)))
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#s(approx (tan (+ (+ eps x) (PI))) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps (tan.f64 x)))
#s(approx (tan (+ (+ eps x) (PI))) (fma.f64 (-.f64 (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps (tan.f64 x)))
#s(approx (tan (+ (+ eps x) (PI))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (neg.f64 eps) (+.f64 (fma.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) #s(literal 1/6 binary64)) (.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))) eps #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps (tan.f64 x)))
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) (-.f64 (tan.f64 x) (tan.f64 x)))
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps (-.f64 (tan.f64 x) (tan.f64 x))))
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) (fma.f64 (-.f64 (fma.f64 eps (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (neg.f64 (cos.f64 x)))) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps (-.f64 (tan.f64 x) (tan.f64 x))))
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (neg.f64 eps) (+.f64 (fma.f64 (.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) #s(literal -1/2 binary64) (.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/6 binary64)))) #s(literal 1/6 binary64)) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 (sin.f64 x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (neg.f64 (cos.f64 x)))))) eps #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps (-.f64 (tan.f64 x) (tan.f64 x))))
#s(approx (tan (+ (+ eps x) (PI))) (tan.f64 x))
#s(approx (tan (+ (+ eps x) (PI))) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps (tan.f64 x)))
#s(approx (tan (+ (+ eps x) (PI))) (fma.f64 (-.f64 (fma.f64 eps (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (neg.f64 (cos.f64 x)))) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps (tan.f64 x)))
#s(approx (tan (+ (+ eps x) (PI))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (neg.f64 eps) (+.f64 (fma.f64 (.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) #s(literal -1/2 binary64) (.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/6 binary64)))) #s(literal 1/6 binary64)) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 (sin.f64 x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (neg.f64 (cos.f64 x)))))) eps #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps (tan.f64 x)))
#s(approx (+ (+ eps x) (PI)) (+.f64 (PI.f64) x))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) eps))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (.f64 (+.f64 (fma.f64 eps x (.f64 x x)) #s(literal 1 binary64)) eps))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x #s(literal 4/3 binary64)) x #s(literal 1/3 binary64)) eps x) eps (*.f64 x x)) #s(literal 1 binary64)) eps))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (.f64 (+.f64 (fma.f64 (fma.f64 (+.f64 (fma.f64 (.f64 x #s(literal 4/3 binary64)) x (.f64 (.f64 eps x) #s(literal 2/3 binary64))) #s(literal 1/3 binary64)) eps x) eps (*.f64 x x)) #s(literal 1 binary64)) eps))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (*.f64 eps x))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (*.f64 (+.f64 eps x) eps))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (.f64 (fma.f64 (fma.f64 (.f64 x #s(literal 4/3 binary64)) eps #s(literal 1 binary64)) eps x) eps))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) eps (.f64 x #s(literal 4/3 binary64))) eps #s(literal 1 binary64)) eps x) eps))
#s(approx (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (*.f64 eps x))
#s(approx (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (.f64 (fma.f64 (.f64 x #s(literal 4/3 binary64)) (*.f64 eps eps) x) eps))
#s(approx (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (.f64 #s(literal 61/120 binary64) x) (fma.f64 #s(literal 1/24 binary64) x (.f64 (.f64 x #s(literal 4/3 binary64)) #s(literal -1/2 binary64)))) (.f64 eps eps) (.f64 #s(literal 5/6 binary64) x)) (.f64 #s(literal -1/2 binary64) x)) (.f64 eps eps) x) eps))
#s(approx (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (.f64 #s(literal 277/1008 binary64) x) (fma.f64 (-.f64 (.f64 #s(literal 61/120 binary64) x) (fma.f64 #s(literal 1/24 binary64) x (.f64 (.f64 x #s(literal 4/3 binary64)) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/720 binary64) x (.f64 #s(literal 1/24 binary64) (.f64 x #s(literal 4/3 binary64)))))) (.f64 eps eps) (.f64 #s(literal 61/120 binary64) x)) (fma.f64 #s(literal 1/24 binary64) x (.f64 (.f64 x #s(literal 4/3 binary64)) #s(literal -1/2 binary64)))) (.f64 eps eps) (.f64 #s(literal 5/6 binary64) x)) (.f64 #s(literal -1/2 binary64) x)) (*.f64 eps eps) x) eps))
#s(approx (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (*.f64 eps x))
#s(approx (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (.f64 (fma.f64 (.f64 (*.f64 eps eps) x) #s(literal 5/6 binary64) x) eps))
#s(approx (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 61/120 binary64) (.f64 #s(literal 5/6 binary64) x)) (*.f64 eps eps) x) eps))
#s(approx (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 277/1008 binary64) (.f64 #s(literal 61/120 binary64) x)) (.f64 eps eps) (.f64 #s(literal 5/6 binary64) x)) (*.f64 eps eps) x) eps))
#s(approx (* x (sin eps)) (*.f64 eps x))
#s(approx (* x (sin eps)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 (*.f64 eps eps) x) x) eps))
#s(approx (* x (sin eps)) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) x) (.f64 #s(literal -1/6 binary64) x)) (*.f64 eps eps) x) eps))
#s(approx (* x (sin eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 (.f64 eps eps) x) (.f64 #s(literal 1/120 binary64) x)) (.f64 eps eps) (.f64 #s(literal -1/6 binary64) x)) (*.f64 eps eps) x) eps))
#s(approx (sin eps) eps)
#s(approx (sin eps) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (sin eps) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 eps eps)) #s(literal 1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (sin eps) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 eps eps) #s(literal 1/120 binary64)) (.f64 eps eps)) #s(literal 1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (- 1 (neg (pow (tan eps) 2))) #s(literal 1 binary64))
#s(approx (- 1 (neg (pow (tan eps) 2))) (fma.f64 eps eps #s(literal 1 binary64)))
#s(approx (- 1 (neg (pow (tan eps) 2))) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/3 binary64) #s(literal 1 binary64)) (.f64 eps eps) #s(literal 1 binary64)))
#s(approx (- 1 (neg (pow (tan eps) 2))) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) (*.f64 eps eps) #s(literal 1 binary64)))
#s(approx (neg (pow (tan eps) 2)) (neg.f64 (*.f64 eps eps)))
#s(approx (neg (pow (tan eps) 2)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal -2/3 binary64)) #s(literal 1 binary64)) (.f64 eps eps)))
#s(approx (neg (pow (tan eps) 2)) (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal -17/45 binary64)) #s(literal 2/3 binary64)) (.f64 eps eps)) #s(literal 1 binary64)) (.f64 eps eps)))
#s(approx (neg (pow (tan eps) 2)) (.f64 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal -62/315 binary64)) #s(literal 17/45 binary64)) (.f64 eps eps)) #s(literal 2/3 binary64)) (.f64 eps eps)) #s(literal 1 binary64)) (.f64 eps eps)))
#s(approx (pow (tan eps) 2) (*.f64 eps eps))
#s(approx (pow (tan eps) 2) (.f64 (fma.f64 (.f64 eps eps) #s(literal 2/3 binary64) #s(literal 1 binary64)) (*.f64 eps eps)))
#s(approx (pow (tan eps) 2) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) (.f64 eps eps)))
#s(approx (pow (tan eps) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) (.f64 eps eps) #s(literal 2/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) (*.f64 eps eps)))
#s(approx (cos eps) #s(literal 1 binary64))
#s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos eps) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps) #s(literal 1 binary64)))
#s(approx (cos eps) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps) #s(literal 1 binary64)))
#s(approx (tan eps) (tan.f64 eps))
#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps))
#s(approx (+ (+ eps x) (PI)) eps)
#s(approx (+ (+ eps x) (PI)) (*.f64 (+.f64 (/.f64 (+.f64 (PI.f64) x) eps) #s(literal 1 binary64)) eps))
#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps))
#s(approx (sin eps) (sin.f64 eps))
#s(approx (- 1 (neg (pow (tan eps) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(approx (neg (pow (tan eps) 2)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))
#s(approx (pow (tan eps) 2) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))
#s(approx (cos eps) (cos.f64 eps))
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) (-.f64 (tan.f64 (-.f64 x (neg.f64 eps))) (tan.f64 x)))
#s(approx (tan (+ (+ eps x) (PI))) (tan.f64 (-.f64 x (neg.f64 eps))))
#s(approx (+ eps x) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) (-.f64 (tan.f64 (-.f64 x (neg.f64 eps))) (tan.f64 x)))
#s(approx (tan (+ (+ eps x) (PI))) (tan.f64 (-.f64 x (neg.f64 eps))))
#s(approx (+ (+ eps x) (PI)) (*.f64 (neg.f64 eps) (-.f64 (neg.f64 (/.f64 (+.f64 (PI.f64) x) eps)) #s(literal 1 binary64))))
#s(approx (+ eps x) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))

eval92.0ms (1.4%)

Memory: -2.1MiB live, 133.1MiB allocated; 59ms collecting garbage
Compiler: Compiled 14 265 to 2 007 computations (85.9% saved)

prune21.0ms (0.3%)

Memory

-8.6MiB live, 36.0MiB allocated; 14ms collecting garbage

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	416	7	423
Fresh	0	1	1
Picked	4	1	5
Done	0	1	1
Total	420	10	430

Accuracy

100.0%

Counts

430 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.7%	(/.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)))
✓	3.3%	(-.f64 (tan.f64 (+.f64 (+.f64 eps x) (PI.f64))) (tan.f64 x))
✓	61.7%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶	99.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
	2.8%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64))))
▶	3.0%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 (PI.f64) eps)))
	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (*.f64 x x) eps eps)))
▶	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps))
	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)))
▶	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps)))

Compiler

Compiled 358 to 244 computations (31.8% saved)

series47.0ms (0.7%)

Memory

6.1MiB live, 50.5MiB allocated; 9ms collecting garbage

Counts

34 → 145

Calls

Call 1

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

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 (* (- 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 (- 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 (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ (* 2/3 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* 2/3 (* x x)) 1) #s(hole binary64 (+ 1 (* 2/3 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/2 (/ (sin eps) (cos eps))))) (cos eps)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (+ (* (pow x 2) (- (* -1/2 (/ (sin eps) (cos eps))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))))
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* 1/24 (/ (sin eps) (cos eps))) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))))
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (* (pow x 2) (- (+ (* 1/24 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* -1/720 (/ (sin eps) (cos eps))) (+ (* -2/15 (/ (sin eps) (cos eps))) (+ (* -1/120 (/ (sin eps) (cos eps))) (* 1/18 (/ (sin eps) (cos eps)))))))) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))))
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (+ x (/ (sin eps) (cos eps)))))
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (+ (* x (+ 1 (* -1/2 (/ (* x (sin eps)) (cos eps))))) (/ (sin eps) (cos eps)))))
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (+ (* x (+ 1 (* x (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/6 x))))) (/ (sin eps) (cos eps)))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ x (/ (sin eps) (cos eps)))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (* x (+ 1 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps)))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (/ (sin eps) (cos eps)))))
#s(approx (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) #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 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 x))
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (* x (sin eps)) (cos eps)))))))
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 (* x (+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1/6 x)))))))
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 (* x (+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* x (- (* x (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))) 1/6))))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 1))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (* x (sin eps)) (cos eps))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* x (- (* -1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps)))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* x (- (* (pow x 2) (- (* -2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (/ (* x (sin eps)) (cos eps))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* 1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/3 (/ (sin eps) (cos eps))) (* (pow x 2) (+ (* 17/315 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 2/15 (/ (sin eps) (cos eps))))))) (/ (sin eps) (cos eps))))))
#s(approx (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 (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 1))
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (+ 1 (* -1 (/ (* x (sin eps)) (cos eps))))))
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1/2 x))))))
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* x (- (* x (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/2 (/ (sin eps) (cos eps))))) 1/2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) #s(hole binary64 (* 2/3 (pow x 4))))
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 2/3 (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 2/3 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))))
#s(approx (+ (* 2/3 (* x x)) 1) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (+ (* 2/3 (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 2/3 (/ 1 (pow x 2))))))
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (/ (- (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))))
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (- (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))))
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx eps #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 (* (+ (* (* eps eps) 1/3) 1) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (* eps eps) 1/3) 1) eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (+ (* (* eps eps) 1/3) 1) #s(hole binary64 1))
#s(approx (+ (* (* eps eps) 1/3) 1) #s(hole binary64 (+ 1 (* 1/3 (pow eps 2)))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (tan (+ (PI) eps)) #s(hole binary64 (/ (sin (PI)) (cos (PI)))))
#s(approx (tan (+ (PI) eps)) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (PI) eps)) #s(hole binary64 (+ (* eps (- (+ 1 (/ (* eps (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (PI) eps)) #s(hole binary64 (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))))) (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI))))))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (+ (PI) eps) #s(hole binary64 (PI)))
#s(approx (+ (PI) eps) #s(hole binary64 (+ eps (PI))))
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (/ (* eps (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (cos x))))
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (* eps (- (+ 1 (/ (* eps (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))))) (pow (cos x) 2))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1/3 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2))))))) (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (* eps (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))))))
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (* eps (- (+ (cos x) (* (pow eps 2) (- (* 1/3 (cos x)) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))))
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (* eps (- (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (- (* 2/15 (cos x)) (* -2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))))
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (* eps (- (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (- (+ (* 2/15 (cos x)) (* (pow eps 2) (- (* 17/315 (cos x)) (* -17/315 (/ (pow (sin x) 2) (cos x)))))) (* -2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))))
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (sin x)))
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (+ (sin x) (* eps (cos x)))))
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* 1/3 (* (pow eps 2) (cos x))))))))
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* (pow eps 2) (+ (* 2/15 (* (pow eps 2) (cos x))) (* 1/3 (cos x)))))))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ eps (/ (sin x) (cos x)))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (/ (sin x) (cos x)))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (/ (sin x) (cos x)))))
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 (sin x)))
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 (+ (sin x) (* -1 (/ (* eps (pow (sin x) 2)) (cos x))))))
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 (+ (sin x) (* eps (+ (* -1 (/ (pow (sin x) 2) (cos x))) (* -1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))))))))
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 (+ (sin x) (* eps (+ (* -1 (/ (pow (sin x) 2) (cos x))) (* (pow eps 2) (+ (* -1/3 (/ (pow (sin x) 2) (cos x))) (* -2/15 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))))))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (* eps (sin x)) (cos x))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* eps (- (* -1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x)))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* eps (- (* (pow eps 2) (- (* -2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x)))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (/ (* eps (sin x)) (cos x))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* eps (+ (* 1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* eps (+ (* (pow eps 2) (+ (* 2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 17/315 (/ (* (pow eps 2) (sin x)) (cos x))) (* 2/15 (/ (sin x) (cos x))))))) (/ (sin x) (cos x))))))
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (cos x)))
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (+ (cos x) (* -1 (* eps (sin x))))))
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1 (sin x)) (* -1/3 (* (pow eps 2) (sin x))))))))
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1 (sin x)) (* (pow eps 2) (+ (* -1/3 (sin x)) (* -2/15 (* (pow eps 2) (sin x))))))))))
#s(approx (tan eps) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (* (+ (* (* eps eps) 1/3) 1) eps) #s(hole binary64 (* 1/3 (pow eps 3))))
#s(approx (* (+ (* (* eps eps) 1/3) 1) eps) #s(hole binary64 (* (pow eps 3) (+ 1/3 (/ 1 (pow eps 2))))))
#s(approx (+ (* (* eps eps) 1/3) 1) #s(hole binary64 (* 1/3 (pow eps 2))))
#s(approx (+ (* (* eps eps) 1/3) 1) #s(hole binary64 (* (pow eps 2) (+ 1/3 (/ 1 (pow eps 2))))))
#s(approx (tan (+ (PI) eps)) #s(hole binary64 (/ (sin (+ eps (PI))) (cos (+ eps (PI))))))
#s(approx (+ (PI) eps) #s(hole binary64 eps))
#s(approx (+ (PI) eps) #s(hole binary64 (* eps (+ 1 (/ (PI) eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))))
#s(approx (tan (+ (PI) eps)) #s(hole binary64 (/ (sin (- (PI) (* -1 eps))) (cos (- (PI) (* -1 eps))))))
#s(approx (+ (PI) eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (PI) eps)) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	eps	@	-inf	((- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (- 1 (neg (pow (tan x) 2))) (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) (+ (* 2/3 (* x x)) 1) 2/3 (* x x) x 1 eps (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (- (tan (+ x eps)) (tan x)) (tan eps) (* (+ (* (* eps eps) 1/3) 1) eps) (+ (* (* eps eps) 1/3) 1) (* eps eps) 1/3 (- (tan (+ x eps)) (tan x)) (tan (+ (PI) eps)) (+ (PI) eps) (PI) (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (+ (tan x) (tan eps)) (cos x)) (+ (tan x) (tan eps)) (tan x) (tan eps) (cos x) (* (- 1 (* (tan x) (tan eps))) (sin x)) (- 1 (* (tan x) (tan eps))) (* (tan x) (tan eps)) (sin x) (* (- 1 (* (tan x) (tan eps))) (cos x)))
11.0ms	x	@	inf	((- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (- 1 (neg (pow (tan x) 2))) (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) (+ (* 2/3 (* x x)) 1) 2/3 (* x x) x 1 eps (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (- (tan (+ x eps)) (tan x)) (tan eps) (* (+ (* (* eps eps) 1/3) 1) eps) (+ (* (* eps eps) 1/3) 1) (* eps eps) 1/3 (- (tan (+ x eps)) (tan x)) (tan (+ (PI) eps)) (+ (PI) eps) (PI) (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (+ (tan x) (tan eps)) (cos x)) (+ (tan x) (tan eps)) (tan x) (tan eps) (cos x) (* (- 1 (* (tan x) (tan eps))) (sin x)) (- 1 (* (tan x) (tan eps))) (* (tan x) (tan eps)) (sin x) (* (- 1 (* (tan x) (tan eps))) (cos x)))
6.0ms	eps	@	0	((- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (- 1 (neg (pow (tan x) 2))) (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) (+ (* 2/3 (* x x)) 1) 2/3 (* x x) x 1 eps (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (- (tan (+ x eps)) (tan x)) (tan eps) (* (+ (* (* eps eps) 1/3) 1) eps) (+ (* (* eps eps) 1/3) 1) (* eps eps) 1/3 (- (tan (+ x eps)) (tan x)) (tan (+ (PI) eps)) (+ (PI) eps) (PI) (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (+ (tan x) (tan eps)) (cos x)) (+ (tan x) (tan eps)) (tan x) (tan eps) (cos x) (* (- 1 (* (tan x) (tan eps))) (sin x)) (- 1 (* (tan x) (tan eps))) (* (tan x) (tan eps)) (sin x) (* (- 1 (* (tan x) (tan eps))) (cos x)))
5.0ms	eps	@	inf	((- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (- 1 (neg (pow (tan x) 2))) (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) (+ (* 2/3 (* x x)) 1) 2/3 (* x x) x 1 eps (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (- (tan (+ x eps)) (tan x)) (tan eps) (* (+ (* (* eps eps) 1/3) 1) eps) (+ (* (* eps eps) 1/3) 1) (* eps eps) 1/3 (- (tan (+ x eps)) (tan x)) (tan (+ (PI) eps)) (+ (PI) eps) (PI) (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (+ (tan x) (tan eps)) (cos x)) (+ (tan x) (tan eps)) (tan x) (tan eps) (cos x) (* (- 1 (* (tan x) (tan eps))) (sin x)) (- 1 (* (tan x) (tan eps))) (* (tan x) (tan eps)) (sin x) (* (- 1 (* (tan x) (tan eps))) (cos x)))
5.0ms	x	@	-inf	((- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (- 1 (neg (pow (tan x) 2))) (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) (+ (* 2/3 (* x x)) 1) 2/3 (* x x) x 1 eps (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (- (tan (+ x eps)) (tan x)) (tan eps) (* (+ (* (* eps eps) 1/3) 1) eps) (+ (* (* eps eps) 1/3) 1) (* eps eps) 1/3 (- (tan (+ x eps)) (tan x)) (tan (+ (PI) eps)) (+ (PI) eps) (PI) (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (+ (tan x) (tan eps)) (cos x)) (+ (tan x) (tan eps)) (tan x) (tan eps) (cos x) (* (- 1 (* (tan x) (tan eps))) (sin x)) (- 1 (* (tan x) (tan eps))) (* (tan x) (tan eps)) (sin x) (* (- 1 (* (tan x) (tan eps))) (cos x)))

rewrite195.0ms (3%)

Memory

22.0MiB live, 161.1MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	760	4659
0	795	3953
1	5033	3953
0	8116	3817

Stop Event

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

Counts

179 → 313

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
(.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps)
#s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal 2/3 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
eps
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps)
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps)))
#s(approx (tan eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))
(.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps)
(fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))
(*.f64 eps eps)
#s(literal 1/3 binary64)
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 (PI.f64) eps)))
(tan.f64 (+.f64 (PI.f64) eps))
(+.f64 (PI.f64) eps)
(PI.f64)
(/.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 (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 (tan.f64 x) (tan.f64 eps)) (cos.f64 x))
(+.f64 (tan.f64 x) (tan.f64 eps))
(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 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))
(*.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)) #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 (- 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 (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ (* 2/3 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* 2/3 (* x x)) 1) #s(hole binary64 (+ 1 (* 2/3 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/2 (/ (sin eps) (cos eps))))) (cos eps)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (+ (* (pow x 2) (- (* -1/2 (/ (sin eps) (cos eps))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))))
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* 1/24 (/ (sin eps) (cos eps))) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))))
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (* (pow x 2) (- (+ (* 1/24 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* -1/720 (/ (sin eps) (cos eps))) (+ (* -2/15 (/ (sin eps) (cos eps))) (+ (* -1/120 (/ (sin eps) (cos eps))) (* 1/18 (/ (sin eps) (cos eps)))))))) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))))
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (+ x (/ (sin eps) (cos eps)))))
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (+ (* x (+ 1 (* -1/2 (/ (* x (sin eps)) (cos eps))))) (/ (sin eps) (cos eps)))))
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (+ (* x (+ 1 (* x (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/6 x))))) (/ (sin eps) (cos eps)))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ x (/ (sin eps) (cos eps)))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (* x (+ 1 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps)))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (/ (sin eps) (cos eps)))))
#s(approx (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) #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 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 x))
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (* x (sin eps)) (cos eps)))))))
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 (* x (+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1/6 x)))))))
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 (* x (+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* x (- (* x (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))) 1/6))))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 1))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (* x (sin eps)) (cos eps))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* x (- (* -1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps)))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* x (- (* (pow x 2) (- (* -2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (/ (* x (sin eps)) (cos eps))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* 1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/3 (/ (sin eps) (cos eps))) (* (pow x 2) (+ (* 17/315 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 2/15 (/ (sin eps) (cos eps))))))) (/ (sin eps) (cos eps))))))
#s(approx (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 (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 1))
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (+ 1 (* -1 (/ (* x (sin eps)) (cos eps))))))
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1/2 x))))))
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* x (- (* x (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/2 (/ (sin eps) (cos eps))))) 1/2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) #s(hole binary64 (* 2/3 (pow x 4))))
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 2/3 (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 2/3 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))))
#s(approx (+ (* 2/3 (* x x)) 1) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (+ (* 2/3 (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 2/3 (/ 1 (pow x 2))))))
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (/ (- (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))))
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (- (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))))
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx eps #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 (* (+ (* (* eps eps) 1/3) 1) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (* eps eps) 1/3) 1) eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (+ (* (* eps eps) 1/3) 1) #s(hole binary64 1))
#s(approx (+ (* (* eps eps) 1/3) 1) #s(hole binary64 (+ 1 (* 1/3 (pow eps 2)))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (tan (+ (PI) eps)) #s(hole binary64 (/ (sin (PI)) (cos (PI)))))
#s(approx (tan (+ (PI) eps)) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (PI) eps)) #s(hole binary64 (+ (* eps (- (+ 1 (/ (* eps (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (PI) eps)) #s(hole binary64 (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))))) (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI))))))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (+ (PI) eps) #s(hole binary64 (PI)))
#s(approx (+ (PI) eps) #s(hole binary64 (+ eps (PI))))
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (/ (* eps (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (cos x))))
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (* eps (- (+ 1 (/ (* eps (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))))) (pow (cos x) 2))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1/3 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2))))))) (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (* eps (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))))))
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (* eps (- (+ (cos x) (* (pow eps 2) (- (* 1/3 (cos x)) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))))
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (* eps (- (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (- (* 2/15 (cos x)) (* -2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))))
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (* eps (- (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (- (+ (* 2/15 (cos x)) (* (pow eps 2) (- (* 17/315 (cos x)) (* -17/315 (/ (pow (sin x) 2) (cos x)))))) (* -2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))))
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (sin x)))
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (+ (sin x) (* eps (cos x)))))
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* 1/3 (* (pow eps 2) (cos x))))))))
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* (pow eps 2) (+ (* 2/15 (* (pow eps 2) (cos x))) (* 1/3 (cos x)))))))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ eps (/ (sin x) (cos x)))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (/ (sin x) (cos x)))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (/ (sin x) (cos x)))))
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 (sin x)))
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 (+ (sin x) (* -1 (/ (* eps (pow (sin x) 2)) (cos x))))))
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 (+ (sin x) (* eps (+ (* -1 (/ (pow (sin x) 2) (cos x))) (* -1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))))))))
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 (+ (sin x) (* eps (+ (* -1 (/ (pow (sin x) 2) (cos x))) (* (pow eps 2) (+ (* -1/3 (/ (pow (sin x) 2) (cos x))) (* -2/15 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))))))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (* eps (sin x)) (cos x))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* eps (- (* -1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x)))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* eps (- (* (pow eps 2) (- (* -2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x)))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (/ (* eps (sin x)) (cos x))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* eps (+ (* 1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* eps (+ (* (pow eps 2) (+ (* 2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 17/315 (/ (* (pow eps 2) (sin x)) (cos x))) (* 2/15 (/ (sin x) (cos x))))))) (/ (sin x) (cos x))))))
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (cos x)))
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (+ (cos x) (* -1 (* eps (sin x))))))
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1 (sin x)) (* -1/3 (* (pow eps 2) (sin x))))))))
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1 (sin x)) (* (pow eps 2) (+ (* -1/3 (sin x)) (* -2/15 (* (pow eps 2) (sin x))))))))))
#s(approx (tan eps) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (* (+ (* (* eps eps) 1/3) 1) eps) #s(hole binary64 (* 1/3 (pow eps 3))))
#s(approx (* (+ (* (* eps eps) 1/3) 1) eps) #s(hole binary64 (* (pow eps 3) (+ 1/3 (/ 1 (pow eps 2))))))
#s(approx (+ (* (* eps eps) 1/3) 1) #s(hole binary64 (* 1/3 (pow eps 2))))
#s(approx (+ (* (* eps eps) 1/3) 1) #s(hole binary64 (* (pow eps 2) (+ 1/3 (/ 1 (pow eps 2))))))
#s(approx (tan (+ (PI) eps)) #s(hole binary64 (/ (sin (+ eps (PI))) (cos (+ eps (PI))))))
#s(approx (+ (PI) eps) #s(hole binary64 eps))
#s(approx (+ (PI) eps) #s(hole binary64 (* eps (+ 1 (/ (PI) eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))))
#s(approx (tan (+ (PI) eps)) #s(hole binary64 (/ (sin (- (PI) (* -1 eps))) (cos (- (PI) (* -1 eps))))))
#s(approx (+ (PI) eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (PI) eps)) 1)))))

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

eval48.0ms (0.7%)

Memory: 19.1MiB live, 64.5MiB allocated; 4ms collecting garbage
Compiler: Compiled 14 229 to 1 779 computations (87.5% saved)

prune15.0ms (0.2%)

Memory

-26.5MiB live, 19.7MiB allocated; 3ms collecting garbage

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	409	2	411
Fresh	0	3	3
Picked	1	4	5
Done	0	2	2
Total	410	11	421

Accuracy

100.0%

Counts

421 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.7%	(/.f64 (-.f64 (.f64 #s(approx (+ (tan x) (tan eps)) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps (tan.f64 x))) (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)))
▶	100.0%	(/.f64 #s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (cos.f64 x) (.f64 #s(literal 2/15 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) (.f64 eps eps) (.f64 (cos.f64 x) #s(literal 1/3 binary64))) (/.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (.f64 eps eps) (cos.f64 x)) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) eps)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
✓	3.3%	(-.f64 (tan.f64 (+.f64 (+.f64 eps x) (PI.f64))) (tan.f64 x))
✓	61.7%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓	99.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
▶	2.8%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64))))
✓	3.0%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 (PI.f64) eps)))
▶	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (*.f64 x x) eps eps)))
✓	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps))
▶	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)))
✓	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps)))

Compiler

Compiled 469 to 287 computations (38.8% saved)

series59.0ms (0.9%)

Memory

10.7MiB live, 63.8MiB allocated; 8ms collecting garbage

Counts

50 → 252

Calls

Call 1

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

Outputs
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/2 (/ (sin eps) (cos eps))))) (cos eps)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (+ (* (pow x 2) (- (* -1/2 (/ (sin eps) (cos eps))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))))
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* 1/24 (/ (sin eps) (cos eps))) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))))
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (* (pow x 2) (- (+ (* 1/24 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* -1/720 (/ (sin eps) (cos eps))) (+ (* -2/15 (/ (sin eps) (cos eps))) (+ (* -1/120 (/ (sin eps) (cos eps))) (* 1/18 (/ (sin eps) (cos eps)))))))) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))))
#s(approx (* (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))))
#s(approx (* (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) eps) #s(hole binary64 (+ (* eps (* (pow x 2) (+ 1/2 (* (pow eps 2) (+ 1/6 (* 1/15 (pow eps 2))))))) (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))))))
#s(approx (* (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) eps) #s(hole binary64 (+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (* (pow x 2) (+ (* eps (* (pow x 2) (+ 5/24 (* (pow eps 2) (+ 5/72 (* 1/36 (pow eps 2))))))) (* eps (+ 1/2 (* (pow eps 2) (+ 1/6 (* 1/15 (pow eps 2)))))))))))
#s(approx (* (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) eps) #s(hole binary64 (+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (* (pow x 2) (+ (* eps (+ 1/2 (* (pow eps 2) (+ 1/6 (* 1/15 (pow eps 2)))))) (* (pow x 2) (+ (* eps (* (pow x 2) (+ 61/720 (* (pow eps 2) (+ 61/2160 (* 61/5400 (pow eps 2))))))) (* eps (+ 5/24 (* (pow eps 2) (+ 5/72 (* 1/36 (pow eps 2)))))))))))))
#s(approx (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) #s(hole binary64 (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))))
#s(approx (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) #s(hole binary64 (+ 1 (+ (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))) (* (pow x 2) (+ 1/2 (* (pow eps 2) (+ 1/6 (* 1/15 (pow eps 2))))))))))
#s(approx (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) #s(hole binary64 (+ 1 (+ (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))) (* (pow x 2) (+ 1/2 (+ (* (pow eps 2) (+ 1/6 (* 1/15 (pow eps 2)))) (* (pow x 2) (+ 5/24 (* (pow eps 2) (+ 5/72 (* 1/36 (pow eps 2)))))))))))))
#s(approx (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) #s(hole binary64 (+ 1 (+ (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))) (* (pow x 2) (+ 1/2 (+ (* (pow eps 2) (+ 1/6 (* 1/15 (pow eps 2)))) (* (pow x 2) (+ 5/24 (+ (* (pow eps 2) (+ 5/72 (* 1/36 (pow eps 2)))) (* (pow x 2) (+ 61/720 (* (pow eps 2) (+ 61/2160 (* 61/5400 (pow eps 2))))))))))))))))
#s(approx (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) #s(hole binary64 (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))))
#s(approx (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) #s(hole binary64 (+ 1 (+ (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))) (* (pow x 2) (- (* (pow eps 2) (+ 1/6 (* 1/15 (pow eps 2)))) 1/2))))))
#s(approx (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) #s(hole binary64 (+ 1 (+ (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))) (* (pow x 2) (- (+ (* (pow eps 2) (+ 1/6 (* 1/15 (pow eps 2)))) (* (pow x 2) (+ 1/24 (* (pow eps 2) (+ 5/72 (* 1/36 (pow eps 2))))))) 1/2))))))
#s(approx (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) #s(hole binary64 (+ 1 (+ (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))) (* (pow x 2) (- (+ (* (pow eps 2) (+ 1/6 (* 1/15 (pow eps 2)))) (* (pow x 2) (+ 1/24 (+ (* (pow eps 2) (+ 5/72 (* 1/36 (pow eps 2)))) (* (pow x 2) (- (* (pow eps 2) (+ 61/2160 (* 61/5400 (pow eps 2)))) 1/720)))))) 1/2))))))
#s(approx (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) #s(hole binary64 (+ 1/3 (* 2/15 (pow eps 2)))))
#s(approx (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) #s(hole binary64 (+ 1/3 (+ (* 2/15 (pow eps 2)) (* (pow x 2) (+ 1/6 (* 1/15 (pow eps 2))))))))
#s(approx (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) #s(hole binary64 (+ 1/3 (+ (* 2/15 (pow eps 2)) (* (pow x 2) (+ 1/6 (+ (* 1/15 (pow eps 2)) (* (pow x 2) (+ 5/72 (* 1/36 (pow eps 2)))))))))))
#s(approx (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) #s(hole binary64 (+ 1/3 (+ (* 2/15 (pow eps 2)) (* (pow x 2) (+ 1/6 (+ (* 1/15 (pow eps 2)) (* (pow x 2) (+ 5/72 (+ (* 1/36 (pow eps 2)) (* (pow x 2) (+ 61/2160 (* 61/5400 (pow eps 2))))))))))))))
#s(approx (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) #s(hole binary64 (+ 1/3 (* 2/15 (pow eps 2)))))
#s(approx (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) #s(hole binary64 (+ 1/3 (+ (* 2/15 (pow eps 2)) (* (pow x 2) (- (* 1/15 (pow eps 2)) 1/6))))))
#s(approx (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) #s(hole binary64 (+ 1/3 (+ (* 2/15 (pow eps 2)) (* (pow x 2) (- (+ (* 1/15 (pow eps 2)) (* (pow x 2) (+ 1/72 (* 1/36 (pow eps 2))))) 1/6))))))
#s(approx (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) #s(hole binary64 (+ 1/3 (+ (* 2/15 (pow eps 2)) (* (pow x 2) (- (+ (* 1/15 (pow eps 2)) (* (pow x 2) (+ 1/72 (+ (* 1/36 (pow eps 2)) (* (pow x 2) (- (* 61/5400 (pow eps 2)) 1/2160)))))) 1/6))))))
#s(approx (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) #s(hole binary64 2/15))
#s(approx (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) #s(hole binary64 (+ 2/15 (* 1/15 (pow x 2)))))
#s(approx (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) #s(hole binary64 (+ 2/15 (* (pow x 2) (+ 1/15 (* 1/36 (pow x 2)))))))
#s(approx (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) #s(hole binary64 (+ 2/15 (* (pow x 2) (+ 1/15 (* (pow x 2) (+ 1/36 (* 61/5400 (pow x 2)))))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* 2/15 (/ (pow (sin x) 2) (cos x))) #s(hole binary64 (* 2/15 (pow x 2))))
#s(approx (* 2/15 (/ (pow (sin x) 2) (cos x))) #s(hole binary64 (* (pow x 2) (+ 2/15 (* 1/45 (pow x 2))))))
#s(approx (* 2/15 (/ (pow (sin x) 2) (cos x))) #s(hole binary64 (* (pow x 2) (+ 2/15 (* (pow x 2) (+ 1/45 (* 31/2700 (pow x 2))))))))
#s(approx (* 2/15 (/ (pow (sin x) 2) (cos x))) #s(hole binary64 (* (pow x 2) (+ 2/15 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 31/2700 (* 173/37800 (pow x 2))))))))))
#s(approx (/ (pow (sin x) 2) (cos x)) #s(hole binary64 (pow x 2)))
#s(approx (/ (pow (sin x) 2) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (pow (sin x) 2) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* 31/360 (pow x 2))))))))
#s(approx (/ (pow (sin x) 2) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 31/360 (* 173/5040 (pow x 2))))))))))
#s(approx (pow (sin x) 2) #s(hole binary64 (pow x 2)))
#s(approx (pow (sin x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (pow (sin x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (pow (sin x) 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 (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) 1/3) #s(hole binary64 1/3))
#s(approx (* (cos x) 1/3) #s(hole binary64 (+ 1/3 (* -1/6 (pow x 2)))))
#s(approx (* (cos x) 1/3) #s(hole binary64 (+ 1/3 (* (pow x 2) (- (* 1/72 (pow x 2)) 1/6)))))
#s(approx (* (cos x) 1/3) #s(hole binary64 (+ 1/3 (* (pow x 2) (- (* (pow x 2) (+ 1/72 (* -1/2160 (pow x 2)))) 1/6)))))
#s(approx (/ (* -1/3 (pow (sin x) 2)) (cos x)) #s(hole binary64 (* -1/3 (pow x 2))))
#s(approx (/ (* -1/3 (pow (sin x) 2)) (cos x)) #s(hole binary64 (* (pow x 2) (- (* -1/18 (pow x 2)) 1/3))))
#s(approx (/ (* -1/3 (pow (sin x) 2)) (cos x)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -31/1080 (pow x 2)) 1/18)) 1/3))))
#s(approx (/ (* -1/3 (pow (sin x) 2)) (cos x)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -173/15120 (pow x 2)) 31/1080)) 1/18)) 1/3))))
#s(approx (* -1/3 (pow (sin x) 2)) #s(hole binary64 (* -1/3 (pow x 2))))
#s(approx (* -1/3 (pow (sin x) 2)) #s(hole binary64 (* (pow x 2) (- (* 1/9 (pow x 2)) 1/3))))
#s(approx (* -1/3 (pow (sin x) 2)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 1/9 (* -2/135 (pow x 2)))) 1/3))))
#s(approx (* -1/3 (pow (sin x) 2)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 1/9 (* (pow x 2) (- (* 1/945 (pow x 2)) 2/135)))) 1/3))))
#s(approx (neg (/ (pow (sin x) 2) (cos x))) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (neg (/ (pow (sin x) 2) (cos x))) #s(hole binary64 (* (pow x 2) (- (* -1/6 (pow x 2)) 1))))
#s(approx (neg (/ (pow (sin x) 2) (cos x))) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -31/360 (pow x 2)) 1/6)) 1))))
#s(approx (neg (/ (pow (sin x) 2) (cos x))) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -173/5040 (pow x 2)) 31/360)) 1/6)) 1))))
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 1))
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (+ 1 (* -1 (/ (* x (sin eps)) (cos eps))))))
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1/2 x))))))
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* x (- (* x (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/2 (/ (sin eps) (cos eps))))) 1/2)))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 1))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (* x (sin eps)) (cos eps))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* x (- (* -1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps)))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* x (- (* (pow x 2) (- (* -2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (/ (* x (sin eps)) (cos eps))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* 1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/3 (/ (sin eps) (cos eps))) (* (pow x 2) (+ (* 17/315 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 2/15 (/ (sin eps) (cos eps))))))) (/ (sin eps) (cos eps))))))
#s(approx (tan x) #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) (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) eps) eps) #s(hole binary64 eps))
#s(approx (+ (* (* x x) eps) eps) #s(hole binary64 (+ eps (* eps (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (+ x (/ (sin eps) (cos eps)))))
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (+ (* x (+ 1 (* -1/2 (/ (* x (sin eps)) (cos eps))))) (/ (sin eps) (cos eps)))))
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (+ (* x (+ 1 (* x (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/6 x))))) (/ (sin eps) (cos eps)))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ x (/ (sin eps) (cos eps)))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (* x (+ 1 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps)))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (/ (sin eps) (cos eps)))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (tan x)) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (tan x)) #s(hole binary64 (+ x (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (tan x)) #s(hole binary64 (+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (* x (+ 1 (* 1/3 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (tan x)) #s(hole binary64 (+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))))))
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 x))
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (* x (sin eps)) (cos eps)))))))
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 (* x (+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1/6 x)))))))
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 (* x (+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* x (- (* x (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))) 1/6))))))))
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (/ (- (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))))
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (- (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))))
#s(approx (* (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) eps) #s(hole binary64 (* eps (+ (cos x) (+ (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))))))
#s(approx (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) #s(hole binary64 (+ (cos x) (+ (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))))
#s(approx (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) #s(hole binary64 (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x))))))))
#s(approx (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) #s(hole binary64 (- (+ (* 1/3 (cos x)) (* (pow eps 2) (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x))))))
#s(approx (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) #s(hole binary64 (+ (* 1/3 (cos x)) (* (pow eps 2) (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x))))))))
#s(approx (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) #s(hole binary64 (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x))))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* 2/15 (/ (pow (sin x) 2) (cos x))) #s(hole binary64 (* 2/15 (/ (pow (sin x) 2) (cos x)))))
#s(approx (/ (pow (sin x) 2) (cos x)) #s(hole binary64 (/ (pow (sin x) 2) (cos x))))
#s(approx (pow (sin x) 2) #s(hole binary64 (pow (sin x) 2)))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (cos x) 1/3) #s(hole binary64 (* 1/3 (cos x))))
#s(approx (/ (* -1/3 (pow (sin x) 2)) (cos x)) #s(hole binary64 (* -1/3 (/ (pow (sin x) 2) (cos x)))))
#s(approx (* -1/3 (pow (sin x) 2)) #s(hole binary64 (* -1/3 (pow (sin x) 2))))
#s(approx (neg (/ (pow (sin x) 2) (cos x))) #s(hole binary64 (* -1 (/ (pow (sin x) 2) (cos x)))))
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (* x x) eps) eps) #s(hole binary64 (* eps (pow x 2))))
#s(approx (+ (* (* x x) eps) eps) #s(hole binary64 (* (pow x 2) (+ eps (/ eps (pow x 2))))))
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (tan x)) #s(hole binary64 (+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (/ (sin x) (cos x)))))
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))))
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (/ (* eps (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (cos x))))
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (* eps (- (+ 1 (/ (* eps (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))))) (pow (cos x) 2))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1/3 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2))))))) (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (* eps (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))))))
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (* eps (- (+ (cos x) (* (pow eps 2) (- (* 1/3 (cos x)) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))))
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (* eps (- (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (- (* 2/15 (cos x)) (* -2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))))
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (* eps (- (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (- (+ (* 2/15 (cos x)) (* (pow eps 2) (- (* 17/315 (cos x)) (* -17/315 (/ (pow (sin x) 2) (cos x)))))) (* -2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))))
#s(approx (* (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) eps) #s(hole binary64 (* eps (+ (cos x) (/ (pow (sin x) 2) (cos x))))))
#s(approx (* (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) eps) #s(hole binary64 (* eps (+ (cos x) (+ (* (pow eps 2) (- (* 1/3 (cos x)) (* -1/3 (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))))))
#s(approx (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) #s(hole binary64 (+ (cos x) (/ (pow (sin x) 2) (cos x)))))
#s(approx (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) #s(hole binary64 (+ (cos x) (+ (* (pow eps 2) (- (* 1/3 (cos x)) (* -1/3 (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))))
#s(approx (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) #s(hole binary64 (+ (cos x) (* (pow eps 2) (- (* 1/3 (cos x)) (* -1/3 (/ (pow (sin x) 2) (cos x))))))))
#s(approx (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) #s(hole binary64 (- (* 1/3 (cos x)) (* -1/3 (/ (pow (sin x) 2) (cos x))))))
#s(approx (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) #s(hole binary64 (* 1/3 (cos x))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx eps #s(hole binary64 eps))
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (cos x)))
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (+ (cos x) (* -1 (* eps (sin x))))))
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1 (sin x)) (* -1/3 (* (pow eps 2) (sin x))))))))
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1 (sin x)) (* (pow eps 2) (+ (* -1/3 (sin x)) (* -2/15 (* (pow eps 2) (sin x))))))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (* eps (sin x)) (cos x))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* eps (- (* -1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x)))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* eps (- (* (pow eps 2) (- (* -2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x)))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (/ (* eps (sin x)) (cos x))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* eps (+ (* 1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* eps (+ (* (pow eps 2) (+ (* 2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 17/315 (/ (* (pow eps 2) (sin x)) (cos x))) (* 2/15 (/ (sin x) (cos x))))))) (/ (sin x) (cos x))))))
#s(approx (tan eps) #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)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (+ (* (* x x) eps) eps) #s(hole binary64 (* eps (+ 1 (pow x 2)))))
#s(approx (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))))
#s(approx (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) #s(hole binary64 (+ 1 (* 1/3 (pow eps 2)))))
#s(approx (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) #s(hole binary64 (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))))
#s(approx (+ (* (* eps eps) 2/15) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (* eps eps) 2/15) 1/3) #s(hole binary64 (+ 1/3 (* 2/15 (pow eps 2)))))
#s(approx (tan (+ (+ (PI) eps) (PI))) #s(hole binary64 (/ (sin (* 2 (PI))) (cos (* 2 (PI))))))
#s(approx (tan (+ (+ (PI) eps) (PI))) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (tan (+ (+ (PI) eps) (PI))) #s(hole binary64 (+ (* eps (- (+ 1 (/ (* eps (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))) (cos (* 2 (PI))))) (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (tan (+ (+ (PI) eps) (PI))) #s(hole binary64 (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (* 2 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (pow (cos (* 2 (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (* 1/6 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))))) (* -1 (/ (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (cos (* 2 (PI)))))))) (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (+ (+ (PI) eps) (PI)) #s(hole binary64 (* 2 (PI))))
#s(approx (+ (+ (PI) eps) (PI)) #s(hole binary64 (+ eps (* 2 (PI)))))
#s(approx (+ (PI) eps) #s(hole binary64 (PI)))
#s(approx (+ (PI) eps) #s(hole binary64 (+ eps (PI))))
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (sin x)))
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (+ (sin x) (* eps (cos x)))))
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* 1/3 (* (pow eps 2) (cos x))))))))
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* (pow eps 2) (+ (* 2/15 (* (pow eps 2) (cos x))) (* 1/3 (cos x)))))))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ eps (/ (sin x) (cos x)))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (/ (sin x) (cos x)))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (/ (sin x) (cos x)))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (tan x)) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (tan x)) #s(hole binary64 (+ eps (/ (sin x) (cos x)))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (tan x)) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (/ (sin x) (cos x)))))
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 (sin x)))
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 (+ (sin x) (* -1 (/ (* eps (pow (sin x) 2)) (cos x))))))
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 (+ (sin x) (* eps (+ (* -1 (/ (pow (sin x) 2) (cos x))) (* -1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))))))))
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 (+ (sin x) (* eps (+ (* -1 (/ (pow (sin x) 2) (cos x))) (* (pow eps 2) (+ (* -1/3 (/ (pow (sin x) 2) (cos x))) (* -2/15 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))))))))))
#s(approx (* (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) eps) #s(hole binary64 (* (pow eps 5) (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))))))
#s(approx (* (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) eps) #s(hole binary64 (* (pow eps 5) (- (+ (* 2/15 (cos x)) (+ (* 2/15 (/ (pow (sin x) 2) (cos x))) (* 1/3 (/ (cos x) (pow eps 2))))) (* -1/3 (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))))
#s(approx (* (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) eps) #s(hole binary64 (* (pow eps 5) (- (+ (* 2/15 (cos x)) (+ (* 2/15 (/ (pow (sin x) 2) (cos x))) (+ (* 1/3 (/ (cos x) (pow eps 2))) (+ (/ (cos x) (pow eps 4)) (/ (pow (sin x) 2) (* (pow eps 4) (cos x))))))) (* -1/3 (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))))
#s(approx (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) #s(hole binary64 (* (pow eps 4) (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))))))
#s(approx (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) #s(hole binary64 (* (pow eps 4) (- (+ (* 2/15 (cos x)) (+ (* 2/15 (/ (pow (sin x) 2) (cos x))) (* 1/3 (/ (cos x) (pow eps 2))))) (* -1/3 (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))))
#s(approx (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) #s(hole binary64 (* (pow eps 4) (- (+ (* 2/15 (cos x)) (+ (* 2/15 (/ (pow (sin x) 2) (cos x))) (+ (* 1/3 (/ (cos x) (pow eps 2))) (+ (/ (cos x) (pow eps 4)) (/ (pow (sin x) 2) (* (pow eps 4) (cos x))))))) (* -1/3 (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))))
#s(approx (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) #s(hole binary64 (* (pow eps 4) (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))))))
#s(approx (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) #s(hole binary64 (* (pow eps 4) (- (+ (* 2/15 (cos x)) (+ (* 2/15 (/ (pow (sin x) 2) (cos x))) (* 1/3 (/ (cos x) (pow eps 2))))) (* -1/3 (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))))
#s(approx (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) #s(hole binary64 (* (pow eps 4) (- (+ (* 2/15 (cos x)) (+ (* 2/15 (/ (pow (sin x) 2) (cos x))) (+ (* 1/3 (/ (cos x) (pow eps 2))) (/ (cos x) (pow eps 4))))) (* -1/3 (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))))
#s(approx (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) #s(hole binary64 (* (pow eps 2) (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))))))
#s(approx (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) #s(hole binary64 (* (pow eps 2) (- (+ (* 2/15 (cos x)) (+ (* 2/15 (/ (pow (sin x) 2) (cos x))) (* 1/3 (/ (cos x) (pow eps 2))))) (* -1/3 (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))))
#s(approx (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) #s(hole binary64 (* (pow eps 2) (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))))))
#s(approx (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) #s(hole binary64 (* (pow eps 2) (+ (* 2/15 (cos x)) (+ (* 2/15 (/ (pow (sin x) 2) (cos x))) (* 1/3 (/ (cos x) (pow eps 2))))))))
#s(approx (tan eps) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* 2/15 (pow eps 5))))
#s(approx (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 5) (+ 2/15 (* 1/3 (/ 1 (pow eps 2)))))))
#s(approx (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 5) (+ 2/15 (+ (* 1/3 (/ 1 (pow eps 2))) (/ 1 (pow eps 4)))))))
#s(approx (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) #s(hole binary64 (* 2/15 (pow eps 4))))
#s(approx (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) #s(hole binary64 (* (pow eps 4) (+ 2/15 (* 1/3 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) #s(hole binary64 (* (pow eps 4) (+ 2/15 (+ (* 1/3 (/ 1 (pow eps 2))) (/ 1 (pow eps 4)))))))
#s(approx (+ (* (* eps eps) 2/15) 1/3) #s(hole binary64 (* 2/15 (pow eps 2))))
#s(approx (+ (* (* eps eps) 2/15) 1/3) #s(hole binary64 (* (pow eps 2) (+ 2/15 (* 1/3 (/ 1 (pow eps 2)))))))
#s(approx (tan (+ (+ (PI) eps) (PI))) #s(hole binary64 (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI)))))))
#s(approx (+ (+ (PI) eps) (PI)) #s(hole binary64 eps))
#s(approx (+ (+ (PI) eps) (PI)) #s(hole binary64 (* eps (+ 1 (* 2 (/ (PI) eps))))))
#s(approx (+ (PI) eps) #s(hole binary64 eps))
#s(approx (+ (PI) eps) #s(hole binary64 (* eps (+ 1 (/ (PI) eps)))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (tan x)) #s(hole binary64 (* 2/15 (pow eps 5))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (tan x)) #s(hole binary64 (* (pow eps 5) (+ 2/15 (* 1/3 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (tan x)) #s(hole binary64 (* (pow eps 5) (+ 2/15 (+ (* 1/3 (/ 1 (pow eps 2))) (/ 1 (pow eps 4)))))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (tan x)) #s(hole binary64 (* (pow eps 5) (+ 2/15 (+ (* 1/3 (/ 1 (pow eps 2))) (+ (/ 1 (pow eps 4)) (/ (sin x) (* (pow eps 5) (cos x)))))))))
#s(approx (* (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) eps) #s(hole binary64 (* -1 (* (pow eps 5) (+ (* -1 (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x))))) (* -1 (/ (- (* 1/3 (cos x)) (* -1/3 (/ (pow (sin x) 2) (cos x)))) (pow eps 2))))))))
#s(approx (* (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) eps) #s(hole binary64 (* -1 (* (pow eps 5) (+ (* -1 (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x))))) (+ (* -1 (/ (+ (cos x) (/ (pow (sin x) 2) (cos x))) (pow eps 4))) (* -1 (/ (- (* 1/3 (cos x)) (* -1/3 (/ (pow (sin x) 2) (cos x)))) (pow eps 2)))))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))))
#s(approx (+ (* (* x x) eps) eps) #s(hole binary64 (* -1 (* eps (- (* -1 (pow x 2)) 1)))))
#s(approx (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow eps 2))) (pow eps 2))) 2/15)))))
#s(approx (tan (+ (+ (PI) eps) (PI))) #s(hole binary64 (/ (sin (- (* 2 (PI)) (* -1 eps))) (cos (- (* 2 (PI)) (* -1 eps))))))
#s(approx (+ (+ (PI) eps) (PI)) #s(hole binary64 (* -1 (* eps (- (* -2 (/ (PI) eps)) 1)))))
#s(approx (+ (PI) eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (PI) eps)) 1)))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (tan x)) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow eps 2))) (pow eps 2))) 2/15)))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (tan x)) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -1 (/ (sin x) (* (pow eps 5) (cos x)))) (+ 2/15 (+ (* 1/3 (/ 1 (pow eps 2))) (/ 1 (pow eps 4)))))))))

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	eps	@	0	((/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) eps) (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) 2/15 (cos x) x (* 2/15 (/ (pow (sin x) 2) (cos x))) (/ (pow (sin x) 2) (cos x)) (pow (sin x) 2) (sin x) 2 (* eps eps) eps (* (cos x) 1/3) 1/3 (/ (* -1/3 (pow (sin x) 2)) (cos x)) (* -1/3 (pow (sin x) 2)) -1/3 (neg (/ (pow (sin x) 2) (cos x))) (* (- 1 (* (tan x) (tan eps))) (cos x)) (- 1 (* (tan x) (tan eps))) 1 (* (tan x) (tan eps)) (tan x) (tan eps) (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (+ (* (* x x) eps) eps) (* x x) (- (tan (+ x eps)) (tan x)) (tan eps) (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) (+ (* (* eps eps) 2/15) 1/3) (- (tan (+ x eps)) (tan x)) (tan (+ (+ (PI) eps) (PI))) (+ (+ (PI) eps) (PI)) (+ (PI) eps) (PI) (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (+ (tan x) (tan eps)) (cos x)) (+ (tan x) (tan eps)) (+ (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (tan x)) (* (- 1 (* (tan x) (tan eps))) (sin x)))
9.0ms	x	@	inf	((/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) eps) (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) 2/15 (cos x) x (* 2/15 (/ (pow (sin x) 2) (cos x))) (/ (pow (sin x) 2) (cos x)) (pow (sin x) 2) (sin x) 2 (* eps eps) eps (* (cos x) 1/3) 1/3 (/ (* -1/3 (pow (sin x) 2)) (cos x)) (* -1/3 (pow (sin x) 2)) -1/3 (neg (/ (pow (sin x) 2) (cos x))) (* (- 1 (* (tan x) (tan eps))) (cos x)) (- 1 (* (tan x) (tan eps))) 1 (* (tan x) (tan eps)) (tan x) (tan eps) (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (+ (* (* x x) eps) eps) (* x x) (- (tan (+ x eps)) (tan x)) (tan eps) (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) (+ (* (* eps eps) 2/15) 1/3) (- (tan (+ x eps)) (tan x)) (tan (+ (+ (PI) eps) (PI))) (+ (+ (PI) eps) (PI)) (+ (PI) eps) (PI) (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (+ (tan x) (tan eps)) (cos x)) (+ (tan x) (tan eps)) (+ (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (tan x)) (* (- 1 (* (tan x) (tan eps))) (sin x)))
8.0ms	eps	@	inf	((/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) eps) (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) 2/15 (cos x) x (* 2/15 (/ (pow (sin x) 2) (cos x))) (/ (pow (sin x) 2) (cos x)) (pow (sin x) 2) (sin x) 2 (* eps eps) eps (* (cos x) 1/3) 1/3 (/ (* -1/3 (pow (sin x) 2)) (cos x)) (* -1/3 (pow (sin x) 2)) -1/3 (neg (/ (pow (sin x) 2) (cos x))) (* (- 1 (* (tan x) (tan eps))) (cos x)) (- 1 (* (tan x) (tan eps))) 1 (* (tan x) (tan eps)) (tan x) (tan eps) (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (+ (* (* x x) eps) eps) (* x x) (- (tan (+ x eps)) (tan x)) (tan eps) (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) (+ (* (* eps eps) 2/15) 1/3) (- (tan (+ x eps)) (tan x)) (tan (+ (+ (PI) eps) (PI))) (+ (+ (PI) eps) (PI)) (+ (PI) eps) (PI) (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (+ (tan x) (tan eps)) (cos x)) (+ (tan x) (tan eps)) (+ (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (tan x)) (* (- 1 (* (tan x) (tan eps))) (sin x)))
8.0ms	x	@	-inf	((/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) eps) (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) 2/15 (cos x) x (* 2/15 (/ (pow (sin x) 2) (cos x))) (/ (pow (sin x) 2) (cos x)) (pow (sin x) 2) (sin x) 2 (* eps eps) eps (* (cos x) 1/3) 1/3 (/ (* -1/3 (pow (sin x) 2)) (cos x)) (* -1/3 (pow (sin x) 2)) -1/3 (neg (/ (pow (sin x) 2) (cos x))) (* (- 1 (* (tan x) (tan eps))) (cos x)) (- 1 (* (tan x) (tan eps))) 1 (* (tan x) (tan eps)) (tan x) (tan eps) (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (+ (* (* x x) eps) eps) (* x x) (- (tan (+ x eps)) (tan x)) (tan eps) (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) (+ (* (* eps eps) 2/15) 1/3) (- (tan (+ x eps)) (tan x)) (tan (+ (+ (PI) eps) (PI))) (+ (+ (PI) eps) (PI)) (+ (PI) eps) (PI) (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (+ (tan x) (tan eps)) (cos x)) (+ (tan x) (tan eps)) (+ (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (tan x)) (* (- 1 (* (tan x) (tan eps))) (sin x)))
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rewrite222.0ms (3.4%)

Memory

6.0MiB live, 191.2MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1221	10024
0	1300	9212
1	7906	9212
0	8003	8917

Stop Event

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

Counts

302 → 474

Calls

Call 1

Inputs
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(.f64 #s(approx (+ (tan x) (tan eps)) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps (tan.f64 x))) (cos.f64 x))
#s(approx (+ (tan x) (tan eps)) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps (tan.f64 x)))
(fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps (tan.f64 x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/2 (/ (sin eps) (cos eps))))) (cos eps)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (+ (* (pow x 2) (- (* -1/2 (/ (sin eps) (cos eps))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))))
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* 1/24 (/ (sin eps) (cos eps))) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))))
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (* (pow x 2) (- (+ (* 1/24 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* -1/720 (/ (sin eps) (cos eps))) (+ (* -2/15 (/ (sin eps) (cos eps))) (+ (* -1/120 (/ (sin eps) (cos eps))) (* 1/18 (/ (sin eps) (cos eps)))))))) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))))
#s(approx (* (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))))
#s(approx (* (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) eps) #s(hole binary64 (+ (* eps (* (pow x 2) (+ 1/2 (* (pow eps 2) (+ 1/6 (* 1/15 (pow eps 2))))))) (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))))))
#s(approx (* (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) eps) #s(hole binary64 (+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (* (pow x 2) (+ (* eps (* (pow x 2) (+ 5/24 (* (pow eps 2) (+ 5/72 (* 1/36 (pow eps 2))))))) (* eps (+ 1/2 (* (pow eps 2) (+ 1/6 (* 1/15 (pow eps 2)))))))))))
#s(approx (* (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) eps) #s(hole binary64 (+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (* (pow x 2) (+ (* eps (+ 1/2 (* (pow eps 2) (+ 1/6 (* 1/15 (pow eps 2)))))) (* (pow x 2) (+ (* eps (* (pow x 2) (+ 61/720 (* (pow eps 2) (+ 61/2160 (* 61/5400 (pow eps 2))))))) (* eps (+ 5/24 (* (pow eps 2) (+ 5/72 (* 1/36 (pow eps 2)))))))))))))
#s(approx (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) #s(hole binary64 (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))))
#s(approx (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) #s(hole binary64 (+ 1 (+ (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))) (* (pow x 2) (+ 1/2 (* (pow eps 2) (+ 1/6 (* 1/15 (pow eps 2))))))))))
#s(approx (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) #s(hole binary64 (+ 1 (+ (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))) (* (pow x 2) (+ 1/2 (+ (* (pow eps 2) (+ 1/6 (* 1/15 (pow eps 2)))) (* (pow x 2) (+ 5/24 (* (pow eps 2) (+ 5/72 (* 1/36 (pow eps 2)))))))))))))
#s(approx (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) #s(hole binary64 (+ 1 (+ (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))) (* (pow x 2) (+ 1/2 (+ (* (pow eps 2) (+ 1/6 (* 1/15 (pow eps 2)))) (* (pow x 2) (+ 5/24 (+ (* (pow eps 2) (+ 5/72 (* 1/36 (pow eps 2)))) (* (pow x 2) (+ 61/720 (* (pow eps 2) (+ 61/2160 (* 61/5400 (pow eps 2))))))))))))))))
#s(approx (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) #s(hole binary64 (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))))
#s(approx (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) #s(hole binary64 (+ 1 (+ (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))) (* (pow x 2) (- (* (pow eps 2) (+ 1/6 (* 1/15 (pow eps 2)))) 1/2))))))
#s(approx (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) #s(hole binary64 (+ 1 (+ (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))) (* (pow x 2) (- (+ (* (pow eps 2) (+ 1/6 (* 1/15 (pow eps 2)))) (* (pow x 2) (+ 1/24 (* (pow eps 2) (+ 5/72 (* 1/36 (pow eps 2))))))) 1/2))))))
#s(approx (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) #s(hole binary64 (+ 1 (+ (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))) (* (pow x 2) (- (+ (* (pow eps 2) (+ 1/6 (* 1/15 (pow eps 2)))) (* (pow x 2) (+ 1/24 (+ (* (pow eps 2) (+ 5/72 (* 1/36 (pow eps 2)))) (* (pow x 2) (- (* (pow eps 2) (+ 61/2160 (* 61/5400 (pow eps 2)))) 1/720)))))) 1/2))))))
#s(approx (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) #s(hole binary64 (+ 1/3 (* 2/15 (pow eps 2)))))
#s(approx (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) #s(hole binary64 (+ 1/3 (+ (* 2/15 (pow eps 2)) (* (pow x 2) (+ 1/6 (* 1/15 (pow eps 2))))))))
#s(approx (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) #s(hole binary64 (+ 1/3 (+ (* 2/15 (pow eps 2)) (* (pow x 2) (+ 1/6 (+ (* 1/15 (pow eps 2)) (* (pow x 2) (+ 5/72 (* 1/36 (pow eps 2)))))))))))
#s(approx (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) #s(hole binary64 (+ 1/3 (+ (* 2/15 (pow eps 2)) (* (pow x 2) (+ 1/6 (+ (* 1/15 (pow eps 2)) (* (pow x 2) (+ 5/72 (+ (* 1/36 (pow eps 2)) (* (pow x 2) (+ 61/2160 (* 61/5400 (pow eps 2))))))))))))))
#s(approx (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) #s(hole binary64 (+ 1/3 (* 2/15 (pow eps 2)))))
#s(approx (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) #s(hole binary64 (+ 1/3 (+ (* 2/15 (pow eps 2)) (* (pow x 2) (- (* 1/15 (pow eps 2)) 1/6))))))
#s(approx (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) #s(hole binary64 (+ 1/3 (+ (* 2/15 (pow eps 2)) (* (pow x 2) (- (+ (* 1/15 (pow eps 2)) (* (pow x 2) (+ 1/72 (* 1/36 (pow eps 2))))) 1/6))))))
#s(approx (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) #s(hole binary64 (+ 1/3 (+ (* 2/15 (pow eps 2)) (* (pow x 2) (- (+ (* 1/15 (pow eps 2)) (* (pow x 2) (+ 1/72 (+ (* 1/36 (pow eps 2)) (* (pow x 2) (- (* 61/5400 (pow eps 2)) 1/2160)))))) 1/6))))))
#s(approx (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) #s(hole binary64 2/15))
#s(approx (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) #s(hole binary64 (+ 2/15 (* 1/15 (pow x 2)))))
#s(approx (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) #s(hole binary64 (+ 2/15 (* (pow x 2) (+ 1/15 (* 1/36 (pow x 2)))))))
#s(approx (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) #s(hole binary64 (+ 2/15 (* (pow x 2) (+ 1/15 (* (pow x 2) (+ 1/36 (* 61/5400 (pow x 2)))))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* 2/15 (/ (pow (sin x) 2) (cos x))) #s(hole binary64 (* 2/15 (pow x 2))))
#s(approx (* 2/15 (/ (pow (sin x) 2) (cos x))) #s(hole binary64 (* (pow x 2) (+ 2/15 (* 1/45 (pow x 2))))))
#s(approx (* 2/15 (/ (pow (sin x) 2) (cos x))) #s(hole binary64 (* (pow x 2) (+ 2/15 (* (pow x 2) (+ 1/45 (* 31/2700 (pow x 2))))))))
#s(approx (* 2/15 (/ (pow (sin x) 2) (cos x))) #s(hole binary64 (* (pow x 2) (+ 2/15 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 31/2700 (* 173/37800 (pow x 2))))))))))
#s(approx (/ (pow (sin x) 2) (cos x)) #s(hole binary64 (pow x 2)))
#s(approx (/ (pow (sin x) 2) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (pow (sin x) 2) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* 31/360 (pow x 2))))))))
#s(approx (/ (pow (sin x) 2) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 31/360 (* 173/5040 (pow x 2))))))))))
#s(approx (pow (sin x) 2) #s(hole binary64 (pow x 2)))
#s(approx (pow (sin x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (pow (sin x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (pow (sin x) 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 (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) 1/3) #s(hole binary64 1/3))
#s(approx (* (cos x) 1/3) #s(hole binary64 (+ 1/3 (* -1/6 (pow x 2)))))
#s(approx (* (cos x) 1/3) #s(hole binary64 (+ 1/3 (* (pow x 2) (- (* 1/72 (pow x 2)) 1/6)))))
#s(approx (* (cos x) 1/3) #s(hole binary64 (+ 1/3 (* (pow x 2) (- (* (pow x 2) (+ 1/72 (* -1/2160 (pow x 2)))) 1/6)))))
#s(approx (/ (* -1/3 (pow (sin x) 2)) (cos x)) #s(hole binary64 (* -1/3 (pow x 2))))
#s(approx (/ (* -1/3 (pow (sin x) 2)) (cos x)) #s(hole binary64 (* (pow x 2) (- (* -1/18 (pow x 2)) 1/3))))
#s(approx (/ (* -1/3 (pow (sin x) 2)) (cos x)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -31/1080 (pow x 2)) 1/18)) 1/3))))
#s(approx (/ (* -1/3 (pow (sin x) 2)) (cos x)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -173/15120 (pow x 2)) 31/1080)) 1/18)) 1/3))))
#s(approx (* -1/3 (pow (sin x) 2)) #s(hole binary64 (* -1/3 (pow x 2))))
#s(approx (* -1/3 (pow (sin x) 2)) #s(hole binary64 (* (pow x 2) (- (* 1/9 (pow x 2)) 1/3))))
#s(approx (* -1/3 (pow (sin x) 2)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 1/9 (* -2/135 (pow x 2)))) 1/3))))
#s(approx (* -1/3 (pow (sin x) 2)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 1/9 (* (pow x 2) (- (* 1/945 (pow x 2)) 2/135)))) 1/3))))
#s(approx (neg (/ (pow (sin x) 2) (cos x))) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (neg (/ (pow (sin x) 2) (cos x))) #s(hole binary64 (* (pow x 2) (- (* -1/6 (pow x 2)) 1))))
#s(approx (neg (/ (pow (sin x) 2) (cos x))) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -31/360 (pow x 2)) 1/6)) 1))))
#s(approx (neg (/ (pow (sin x) 2) (cos x))) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -173/5040 (pow x 2)) 31/360)) 1/6)) 1))))
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 1))
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (+ 1 (* -1 (/ (* x (sin eps)) (cos eps))))))
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1/2 x))))))
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* x (- (* x (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/2 (/ (sin eps) (cos eps))))) 1/2)))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 1))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (* x (sin eps)) (cos eps))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* x (- (* -1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps)))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* x (- (* (pow x 2) (- (* -2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (/ (* x (sin eps)) (cos eps))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* 1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/3 (/ (sin eps) (cos eps))) (* (pow x 2) (+ (* 17/315 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 2/15 (/ (sin eps) (cos eps))))))) (/ (sin eps) (cos eps))))))
#s(approx (tan x) #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) (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) eps) eps) #s(hole binary64 eps))
#s(approx (+ (* (* x x) eps) eps) #s(hole binary64 (+ eps (* eps (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (+ x (/ (sin eps) (cos eps)))))
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (+ (* x (+ 1 (* -1/2 (/ (* x (sin eps)) (cos eps))))) (/ (sin eps) (cos eps)))))
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (+ (* x (+ 1 (* x (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/6 x))))) (/ (sin eps) (cos eps)))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ x (/ (sin eps) (cos eps)))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (* x (+ 1 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps)))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (/ (sin eps) (cos eps)))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (tan x)) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (tan x)) #s(hole binary64 (+ x (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (tan x)) #s(hole binary64 (+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (* x (+ 1 (* 1/3 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (tan x)) #s(hole binary64 (+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))))))
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 x))
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (* x (sin eps)) (cos eps)))))))
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 (* x (+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1/6 x)))))))
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 (* x (+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* x (- (* x (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))) 1/6))))))))
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (/ (- (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))))
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (- (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))))
#s(approx (* (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) eps) #s(hole binary64 (* eps (+ (cos x) (+ (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))))))
#s(approx (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) #s(hole binary64 (+ (cos x) (+ (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))))
#s(approx (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) #s(hole binary64 (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x))))))))
#s(approx (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) #s(hole binary64 (- (+ (* 1/3 (cos x)) (* (pow eps 2) (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x))))))
#s(approx (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) #s(hole binary64 (+ (* 1/3 (cos x)) (* (pow eps 2) (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x))))))))
#s(approx (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) #s(hole binary64 (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x))))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* 2/15 (/ (pow (sin x) 2) (cos x))) #s(hole binary64 (* 2/15 (/ (pow (sin x) 2) (cos x)))))
#s(approx (/ (pow (sin x) 2) (cos x)) #s(hole binary64 (/ (pow (sin x) 2) (cos x))))
#s(approx (pow (sin x) 2) #s(hole binary64 (pow (sin x) 2)))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (cos x) 1/3) #s(hole binary64 (* 1/3 (cos x))))
#s(approx (/ (* -1/3 (pow (sin x) 2)) (cos x)) #s(hole binary64 (* -1/3 (/ (pow (sin x) 2) (cos x)))))
#s(approx (* -1/3 (pow (sin x) 2)) #s(hole binary64 (* -1/3 (pow (sin x) 2))))
#s(approx (neg (/ (pow (sin x) 2) (cos x))) #s(hole binary64 (* -1 (/ (pow (sin x) 2) (cos x)))))
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (* x x) eps) eps) #s(hole binary64 (* eps (pow x 2))))
#s(approx (+ (* (* x x) eps) eps) #s(hole binary64 (* (pow x 2) (+ eps (/ eps (pow x 2))))))
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (tan x)) #s(hole binary64 (+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (/ (sin x) (cos x)))))
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))))
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (/ (* eps (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (cos x))))
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (* eps (- (+ 1 (/ (* eps (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))))) (pow (cos x) 2))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1/3 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2))))))) (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (* eps (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))))))
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (* eps (- (+ (cos x) (* (pow eps 2) (- (* 1/3 (cos x)) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))))
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (* eps (- (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (- (* 2/15 (cos x)) (* -2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))))
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (* eps (- (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (- (+ (* 2/15 (cos x)) (* (pow eps 2) (- (* 17/315 (cos x)) (* -17/315 (/ (pow (sin x) 2) (cos x)))))) (* -2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))))
#s(approx (* (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) eps) #s(hole binary64 (* eps (+ (cos x) (/ (pow (sin x) 2) (cos x))))))
#s(approx (* (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) eps) #s(hole binary64 (* eps (+ (cos x) (+ (* (pow eps 2) (- (* 1/3 (cos x)) (* -1/3 (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))))))
#s(approx (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) #s(hole binary64 (+ (cos x) (/ (pow (sin x) 2) (cos x)))))
#s(approx (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) #s(hole binary64 (+ (cos x) (+ (* (pow eps 2) (- (* 1/3 (cos x)) (* -1/3 (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))))
#s(approx (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) #s(hole binary64 (+ (cos x) (* (pow eps 2) (- (* 1/3 (cos x)) (* -1/3 (/ (pow (sin x) 2) (cos x))))))))
#s(approx (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) #s(hole binary64 (- (* 1/3 (cos x)) (* -1/3 (/ (pow (sin x) 2) (cos x))))))
#s(approx (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) #s(hole binary64 (* 1/3 (cos x))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx eps #s(hole binary64 eps))
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (cos x)))
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (+ (cos x) (* -1 (* eps (sin x))))))
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1 (sin x)) (* -1/3 (* (pow eps 2) (sin x))))))))
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1 (sin x)) (* (pow eps 2) (+ (* -1/3 (sin x)) (* -2/15 (* (pow eps 2) (sin x))))))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (* eps (sin x)) (cos x))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* eps (- (* -1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x)))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* eps (- (* (pow eps 2) (- (* -2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x)))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (/ (* eps (sin x)) (cos x))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* eps (+ (* 1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* eps (+ (* (pow eps 2) (+ (* 2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 17/315 (/ (* (pow eps 2) (sin x)) (cos x))) (* 2/15 (/ (sin x) (cos x))))))) (/ (sin x) (cos x))))))
#s(approx (tan eps) #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)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (+ (* (* x x) eps) eps) #s(hole binary64 (* eps (+ 1 (pow x 2)))))
#s(approx (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))))
#s(approx (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) #s(hole binary64 (+ 1 (* 1/3 (pow eps 2)))))
#s(approx (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) #s(hole binary64 (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))))
#s(approx (+ (* (* eps eps) 2/15) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (* eps eps) 2/15) 1/3) #s(hole binary64 (+ 1/3 (* 2/15 (pow eps 2)))))
#s(approx (tan (+ (+ (PI) eps) (PI))) #s(hole binary64 (/ (sin (* 2 (PI))) (cos (* 2 (PI))))))
#s(approx (tan (+ (+ (PI) eps) (PI))) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (tan (+ (+ (PI) eps) (PI))) #s(hole binary64 (+ (* eps (- (+ 1 (/ (* eps (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))) (cos (* 2 (PI))))) (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (tan (+ (+ (PI) eps) (PI))) #s(hole binary64 (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (* 2 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (pow (cos (* 2 (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (* 1/6 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))))) (* -1 (/ (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (cos (* 2 (PI)))))))) (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (+ (+ (PI) eps) (PI)) #s(hole binary64 (* 2 (PI))))
#s(approx (+ (+ (PI) eps) (PI)) #s(hole binary64 (+ eps (* 2 (PI)))))
#s(approx (+ (PI) eps) #s(hole binary64 (PI)))
#s(approx (+ (PI) eps) #s(hole binary64 (+ eps (PI))))
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (sin x)))
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (+ (sin x) (* eps (cos x)))))
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* 1/3 (* (pow eps 2) (cos x))))))))
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* (pow eps 2) (+ (* 2/15 (* (pow eps 2) (cos x))) (* 1/3 (cos x)))))))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ eps (/ (sin x) (cos x)))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (/ (sin x) (cos x)))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (/ (sin x) (cos x)))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (tan x)) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (tan x)) #s(hole binary64 (+ eps (/ (sin x) (cos x)))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (tan x)) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (/ (sin x) (cos x)))))
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 (sin x)))
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 (+ (sin x) (* -1 (/ (* eps (pow (sin x) 2)) (cos x))))))
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 (+ (sin x) (* eps (+ (* -1 (/ (pow (sin x) 2) (cos x))) (* -1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))))))))
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 (+ (sin x) (* eps (+ (* -1 (/ (pow (sin x) 2) (cos x))) (* (pow eps 2) (+ (* -1/3 (/ (pow (sin x) 2) (cos x))) (* -2/15 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))))))))))
#s(approx (* (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) eps) #s(hole binary64 (* (pow eps 5) (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))))))
#s(approx (* (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) eps) #s(hole binary64 (* (pow eps 5) (- (+ (* 2/15 (cos x)) (+ (* 2/15 (/ (pow (sin x) 2) (cos x))) (* 1/3 (/ (cos x) (pow eps 2))))) (* -1/3 (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))))
#s(approx (* (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) eps) #s(hole binary64 (* (pow eps 5) (- (+ (* 2/15 (cos x)) (+ (* 2/15 (/ (pow (sin x) 2) (cos x))) (+ (* 1/3 (/ (cos x) (pow eps 2))) (+ (/ (cos x) (pow eps 4)) (/ (pow (sin x) 2) (* (pow eps 4) (cos x))))))) (* -1/3 (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))))
#s(approx (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) #s(hole binary64 (* (pow eps 4) (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))))))
#s(approx (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) #s(hole binary64 (* (pow eps 4) (- (+ (* 2/15 (cos x)) (+ (* 2/15 (/ (pow (sin x) 2) (cos x))) (* 1/3 (/ (cos x) (pow eps 2))))) (* -1/3 (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))))
#s(approx (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) #s(hole binary64 (* (pow eps 4) (- (+ (* 2/15 (cos x)) (+ (* 2/15 (/ (pow (sin x) 2) (cos x))) (+ (* 1/3 (/ (cos x) (pow eps 2))) (+ (/ (cos x) (pow eps 4)) (/ (pow (sin x) 2) (* (pow eps 4) (cos x))))))) (* -1/3 (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))))
#s(approx (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) #s(hole binary64 (* (pow eps 4) (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))))))
#s(approx (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) #s(hole binary64 (* (pow eps 4) (- (+ (* 2/15 (cos x)) (+ (* 2/15 (/ (pow (sin x) 2) (cos x))) (* 1/3 (/ (cos x) (pow eps 2))))) (* -1/3 (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))))
#s(approx (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) #s(hole binary64 (* (pow eps 4) (- (+ (* 2/15 (cos x)) (+ (* 2/15 (/ (pow (sin x) 2) (cos x))) (+ (* 1/3 (/ (cos x) (pow eps 2))) (/ (cos x) (pow eps 4))))) (* -1/3 (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))))
#s(approx (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) #s(hole binary64 (* (pow eps 2) (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))))))
#s(approx (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) #s(hole binary64 (* (pow eps 2) (- (+ (* 2/15 (cos x)) (+ (* 2/15 (/ (pow (sin x) 2) (cos x))) (* 1/3 (/ (cos x) (pow eps 2))))) (* -1/3 (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))))
#s(approx (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) #s(hole binary64 (* (pow eps 2) (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))))))
#s(approx (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) #s(hole binary64 (* (pow eps 2) (+ (* 2/15 (cos x)) (+ (* 2/15 (/ (pow (sin x) 2) (cos x))) (* 1/3 (/ (cos x) (pow eps 2))))))))
#s(approx (tan eps) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* 2/15 (pow eps 5))))
#s(approx (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 5) (+ 2/15 (* 1/3 (/ 1 (pow eps 2)))))))
#s(approx (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 5) (+ 2/15 (+ (* 1/3 (/ 1 (pow eps 2))) (/ 1 (pow eps 4)))))))
#s(approx (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) #s(hole binary64 (* 2/15 (pow eps 4))))
#s(approx (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) #s(hole binary64 (* (pow eps 4) (+ 2/15 (* 1/3 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) #s(hole binary64 (* (pow eps 4) (+ 2/15 (+ (* 1/3 (/ 1 (pow eps 2))) (/ 1 (pow eps 4)))))))
#s(approx (+ (* (* eps eps) 2/15) 1/3) #s(hole binary64 (* 2/15 (pow eps 2))))
#s(approx (+ (* (* eps eps) 2/15) 1/3) #s(hole binary64 (* (pow eps 2) (+ 2/15 (* 1/3 (/ 1 (pow eps 2)))))))
#s(approx (tan (+ (+ (PI) eps) (PI))) #s(hole binary64 (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI)))))))
#s(approx (+ (+ (PI) eps) (PI)) #s(hole binary64 eps))
#s(approx (+ (+ (PI) eps) (PI)) #s(hole binary64 (* eps (+ 1 (* 2 (/ (PI) eps))))))
#s(approx (+ (PI) eps) #s(hole binary64 eps))
#s(approx (+ (PI) eps) #s(hole binary64 (* eps (+ 1 (/ (PI) eps)))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (tan x)) #s(hole binary64 (* 2/15 (pow eps 5))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (tan x)) #s(hole binary64 (* (pow eps 5) (+ 2/15 (* 1/3 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (tan x)) #s(hole binary64 (* (pow eps 5) (+ 2/15 (+ (* 1/3 (/ 1 (pow eps 2))) (/ 1 (pow eps 4)))))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (tan x)) #s(hole binary64 (* (pow eps 5) (+ 2/15 (+ (* 1/3 (/ 1 (pow eps 2))) (+ (/ 1 (pow eps 4)) (/ (sin x) (* (pow eps 5) (cos x)))))))))
#s(approx (* (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) eps) #s(hole binary64 (* -1 (* (pow eps 5) (+ (* -1 (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x))))) (* -1 (/ (- (* 1/3 (cos x)) (* -1/3 (/ (pow (sin x) 2) (cos x)))) (pow eps 2))))))))
#s(approx (* (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) eps) #s(hole binary64 (* -1 (* (pow eps 5) (+ (* -1 (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x))))) (+ (* -1 (/ (+ (cos x) (/ (pow (sin x) 2) (cos x))) (pow eps 4))) (* -1 (/ (- (* 1/3 (cos x)) (* -1/3 (/ (pow (sin x) 2) (cos x)))) (pow eps 2)))))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))))
#s(approx (+ (* (* x x) eps) eps) #s(hole binary64 (* -1 (* eps (- (* -1 (pow x 2)) 1)))))
#s(approx (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow eps 2))) (pow eps 2))) 2/15)))))
#s(approx (tan (+ (+ (PI) eps) (PI))) #s(hole binary64 (/ (sin (- (* 2 (PI)) (* -1 eps))) (cos (- (* 2 (PI)) (* -1 eps))))))
#s(approx (+ (+ (PI) eps) (PI)) #s(hole binary64 (* -1 (* eps (- (* -2 (/ (PI) eps)) 1)))))
#s(approx (+ (PI) eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (PI) eps)) 1)))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (tan x)) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow eps 2))) (pow eps 2))) 2/15)))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (tan x)) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -1 (/ (sin x) (* (pow eps 5) (cos x)))) (+ 2/15 (+ (* 1/3 (/ 1 (pow eps 2))) (/ 1 (pow eps 4)))))))))

Outputs
(/.f64 (/.f64 #s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 (.f64 #s(literal 2/15 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (cos.f64 x))) eps) eps (fma.f64 #s(literal 1/3 binary64) (cos.f64 x) (.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))) (-.f64 (cos.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x)))) eps)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x))
(/.f64 (neg.f64 #s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 (.f64 #s(literal 2/15 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (cos.f64 x))) eps) eps (fma.f64 #s(literal 1/3 binary64) (cos.f64 x) (.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))) (-.f64 (cos.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x)))) eps))) (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x))))
(/.f64 #s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 (.f64 #s(literal 2/15 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (cos.f64 x))) eps) eps (fma.f64 #s(literal 1/3 binary64) (cos.f64 x) (.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))) (-.f64 (cos.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x)))) eps)) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 (.f64 #s(literal 2/15 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (cos.f64 x))) eps) eps (fma.f64 #s(literal 1/3 binary64) (cos.f64 x) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))) (-.f64 (cos.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x)))) eps))
(.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 (.f64 #s(literal 2/15 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (cos.f64 x))) eps) eps (fma.f64 #s(literal 1/3 binary64) (cos.f64 x) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))) (-.f64 (cos.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x)))) eps)
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 (.f64 #s(literal 2/15 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (cos.f64 x))) eps) eps (fma.f64 #s(literal 1/3 binary64) (cos.f64 x) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))) (-.f64 (cos.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x)))))
(/.f64 (-.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 (.f64 #s(literal 2/15 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (cos.f64 x))) eps) eps (fma.f64 #s(literal 1/3 binary64) (cos.f64 x) (.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))) (cos.f64 x)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 (.f64 #s(literal 2/15 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (cos.f64 x))) eps) eps (fma.f64 #s(literal 1/3 binary64) (cos.f64 x) (.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))) (cos.f64 x))) (.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x)))) (+.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 (.f64 #s(literal 2/15 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (cos.f64 x))) eps) eps (fma.f64 #s(literal 1/3 binary64) (cos.f64 x) (.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))) (cos.f64 x)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 (.f64 #s(literal 2/15 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (cos.f64 x))) eps) eps (fma.f64 #s(literal 1/3 binary64) (cos.f64 x) (.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 (.f64 #s(literal 2/15 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (cos.f64 x))) eps) eps (fma.f64 #s(literal 1/3 binary64) (cos.f64 x) (.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))) (cos.f64 x)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 (.f64 #s(literal 2/15 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (cos.f64 x))) eps) eps (fma.f64 #s(literal 1/3 binary64) (cos.f64 x) (.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))) (cos.f64 x)) (fma.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x)) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 (.f64 #s(literal 2/15 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (cos.f64 x))) eps) eps (fma.f64 #s(literal 1/3 binary64) (cos.f64 x) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))) (cos.f64 x)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x))))))
(fma.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal 2/15 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (cos.f64 x))) eps) eps (fma.f64 #s(literal 1/3 binary64) (cos.f64 x) (.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))) eps) eps (-.f64 (cos.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x))))
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 (.f64 #s(literal 2/15 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (cos.f64 x))) eps) eps (fma.f64 #s(literal 1/3 binary64) (cos.f64 x) (.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))) (-.f64 (cos.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x))))
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#s(approx (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (+.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/15 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 x x) (.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) eps) eps)) #s(literal 1 binary64)))
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#s(approx (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (+.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 (fma.f64 #s(literal 1/15 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 x x))))
#s(approx (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (+.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 (+.f64 (fma.f64 #s(literal 1/15 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 eps eps) #s(literal 5/72 binary64)) (.f64 x x))) (*.f64 x x))))
#s(approx (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (+.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 (+.f64 (fma.f64 #s(literal 1/15 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 (+.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 eps eps) #s(literal 5/72 binary64)) (.f64 (fma.f64 #s(literal 61/5400 binary64) (.f64 eps eps) #s(literal 61/2160 binary64)) (.f64 x x))) (.f64 x x))) (.f64 x x))))
#s(approx (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)))
#s(approx (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (+.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/15 binary64) (.f64 eps eps)) #s(literal 1/6 binary64)) (*.f64 x x))))
#s(approx (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 eps eps) #s(literal 1/72 binary64)) (.f64 x x) (.f64 #s(literal 1/15 binary64) (.f64 eps eps))) #s(literal 1/6 binary64)) (.f64 x x) (.f64 (*.f64 eps eps) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)))
#s(approx (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (+.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 eps eps) #s(literal 1/72 binary64)) (.f64 (-.f64 (.f64 #s(literal 61/5400 binary64) (.f64 eps eps)) #s(literal 1/2160 binary64)) (.f64 x x))) (.f64 x x) (.f64 #s(literal 1/15 binary64) (.f64 eps eps))) #s(literal 1/6 binary64)) (.f64 x x) (.f64 (*.f64 eps eps) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)))
#s(approx (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) #s(literal 2/15 binary64))
#s(approx (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (fma.f64 #s(literal 1/15 binary64) (*.f64 x x) #s(literal 2/15 binary64)))
#s(approx (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (fma.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 x x) #s(literal 1/15 binary64)) (.f64 x x) #s(literal 2/15 binary64)))
#s(approx (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 61/5400 binary64) (.f64 x x) #s(literal 1/36 binary64)) (.f64 x x) #s(literal 1/15 binary64)) (*.f64 x x) #s(literal 2/15 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx x x)
#s(approx (* 2/15 (/ (pow (sin x) 2) (cos x))) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
#s(approx (* 2/15 (/ (pow (sin x) 2) (cos x))) (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x)))
#s(approx (* 2/15 (/ (pow (sin x) 2) (cos x))) (.f64 (fma.f64 (fma.f64 #s(literal 31/2700 binary64) (.f64 x x) #s(literal 1/45 binary64)) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x)))
#s(approx (* 2/15 (/ (pow (sin x) 2) (cos x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 173/37800 binary64) (.f64 x x) #s(literal 31/2700 binary64)) (.f64 x x) #s(literal 1/45 binary64)) (.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x)))
#s(approx (/ (pow (sin x) 2) (cos x)) (*.f64 x x))
#s(approx (/ (pow (sin x) 2) (cos x)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (pow (sin x) 2) (cos x)) (.f64 (fma.f64 (fma.f64 #s(literal 31/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (/ (pow (sin x) 2) (cos x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 173/5040 binary64) (.f64 x x) #s(literal 31/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (pow (sin x) 2) (*.f64 x x))
#s(approx (pow (sin x) 2) (.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (pow (sin x) 2) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (pow (sin x) 2) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/315 binary64) (.f64 x x) #s(literal 2/45 binary64)) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (sin x) x)
#s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (cos x) 1/3) #s(literal 1/3 binary64))
#s(approx (* (cos x) 1/3) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
#s(approx (* (cos x) 1/3) (fma.f64 (-.f64 (.f64 #s(literal 1/72 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/3 binary64)))
#s(approx (* (cos x) 1/3) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2160 binary64) (.f64 x x) #s(literal 1/72 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/3 binary64)))
#s(approx (/ (* -1/3 (pow (sin x) 2)) (cos x)) (.f64 (.f64 x x) #s(literal -1/3 binary64)))
#s(approx (/ (* -1/3 (pow (sin x) 2)) (cos x)) (.f64 (-.f64 (.f64 #s(literal -1/18 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x)))
#s(approx (/ (* -1/3 (pow (sin x) 2)) (cos x)) (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -31/1080 binary64) (.f64 x x)) #s(literal 1/18 binary64)) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x)))
#s(approx (/ (* -1/3 (pow (sin x) 2)) (cos x)) (.f64 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -173/15120 binary64) (.f64 x x)) #s(literal 31/1080 binary64)) (.f64 x x)) #s(literal 1/18 binary64)) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x)))
#s(approx (* -1/3 (pow (sin x) 2)) (.f64 (.f64 x x) #s(literal -1/3 binary64)))
#s(approx (* -1/3 (pow (sin x) 2)) (.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x)))
#s(approx (* -1/3 (pow (sin x) 2)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -2/135 binary64) (.f64 x x) #s(literal 1/9 binary64)) (.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x)))
#s(approx (* -1/3 (pow (sin x) 2)) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/945 binary64) (.f64 x x)) #s(literal 2/135 binary64)) (.f64 x x) #s(literal 1/9 binary64)) (.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x)))
#s(approx (neg (/ (pow (sin x) 2) (cos x))) (neg.f64 (*.f64 x x)))
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#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(literal 1 binary64))
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) (fma.f64 (*.f64 x (tan.f64 eps)) #s(literal -1 binary64) #s(literal 1 binary64)))
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#s(approx (- 1 (* (tan x) (tan eps))) #s(literal 1 binary64))
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#s(approx (* (tan x) (tan eps)) (*.f64 x (tan.f64 eps)))
#s(approx (* (tan x) (tan eps)) (.f64 (fma.f64 (.f64 (*.f64 x x) (tan.f64 eps)) #s(literal 1/3 binary64) (tan.f64 eps)) x))
#s(approx (* (tan x) (tan eps)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) (tan.f64 eps)) #s(literal 2/15 binary64) (.f64 (tan.f64 eps) #s(literal 1/3 binary64))) (*.f64 x x) (tan.f64 eps)) x))
#s(approx (* (tan x) (tan eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 (.f64 x x) (tan.f64 eps)) (.f64 (tan.f64 eps) #s(literal 2/15 binary64))) (.f64 x x) (.f64 (tan.f64 eps) #s(literal 1/3 binary64))) (*.f64 x x) (tan.f64 eps)) 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 (.f64 x x) #s(literal 2/15 binary64) #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)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (tan.f64 eps)))
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#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (+.f64 (fma.f64 (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.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)))) #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (sin.f64 eps) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (cos.f64 eps))))) x (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) x (tan.f64 eps)))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps)
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (*.f64 x x) eps eps))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) eps) eps) (*.f64 x x) eps))
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 2/3 binary64) eps)) (.f64 x x) eps) (*.f64 x x) eps))
#s(approx (+ (* (* x x) eps) eps) eps)
#s(approx (+ (* (* x x) eps) eps) (fma.f64 (*.f64 x x) eps eps))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (+ (tan x) (tan eps)) (cos x)) (tan.f64 eps))
#s(approx (* (+ (tan x) (tan eps)) (cos x)) (+.f64 (tan.f64 eps) x))
#s(approx (* (+ (tan x) (tan eps)) (cos x)) (fma.f64 (fma.f64 (*.f64 x (tan.f64 eps)) #s(literal -1/2 binary64) #s(literal 1 binary64)) x (tan.f64 eps)))
#s(approx (* (+ (tan x) (tan eps)) (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x (*.f64 #s(literal -1/2 binary64) (tan.f64 eps))) x #s(literal 1 binary64)) x (tan.f64 eps)))
#s(approx (+ (tan x) (tan eps)) (tan.f64 eps))
#s(approx (+ (tan x) (tan eps)) (+.f64 (tan.f64 eps) x))
#s(approx (+ (tan x) (tan eps)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x (tan.f64 eps)))
#s(approx (+ (tan x) (tan eps)) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x (tan.f64 eps)))
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#s(approx (tan (+ (+ (PI) eps) (PI))) (tan.f64 eps))
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#s(approx (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 2/15 binary64)))
#s(approx (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) (*.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 2/15 binary64)) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) (*.f64 (+.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/3 binary64) (pow.f64 eps #s(literal -4 binary64))) #s(literal 2/15 binary64)) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (+ (* (* eps eps) 2/15) 1/3) (.f64 (.f64 eps eps) #s(literal 2/15 binary64)))
#s(approx (+ (* (* eps eps) 2/15) 1/3) (.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 2/15 binary64)) (.f64 eps eps)))
#s(approx (tan (+ (+ (PI) eps) (PI))) (tan.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) eps)))
#s(approx (+ (+ (PI) eps) (PI)) eps)
#s(approx (+ (+ (PI) eps) (PI)) (*.f64 (fma.f64 (/.f64 (PI.f64) eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps))
#s(approx (+ (PI) eps) eps)
#s(approx (+ (PI) eps) (*.f64 (+.f64 (/.f64 (PI.f64) eps) #s(literal 1 binary64)) eps))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (tan x)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 2/15 binary64)))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (tan x)) (*.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 2/15 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (tan x)) (*.f64 (+.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/3 binary64) (pow.f64 eps #s(literal -4 binary64))) #s(literal 2/15 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (tan x)) (.f64 (+.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 2/15 binary64)) (+.f64 (/.f64 (sin.f64 x) (.f64 (pow.f64 eps #s(literal 5 binary64)) (cos.f64 x))) (pow.f64 eps #s(literal -4 binary64)))) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (* (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) eps) (neg.f64 (.f64 (.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2/15 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (cos.f64 x)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cos.f64 x) (.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) (.f64 eps eps)))) (pow.f64 eps #s(literal 5 binary64)))))
#s(approx (* (- (+ (* (- (+ (* (+ (* 2/15 (cos x)) (* 2/15 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (pow (sin x) 2)) (cos x))) (* eps eps)) (cos x)) (neg (/ (pow (sin x) 2) (cos x)))) eps) (neg.f64 (.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (cos.f64 x)) (pow.f64 eps #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cos.f64 x) (.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) (.f64 eps eps))) (neg.f64 (.f64 #s(literal 2/15 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (cos.f64 x))))) (pow.f64 eps #s(literal 5 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (-.f64 x (neg.f64 eps))) (tan.f64 x)))
#s(approx (+ (* (* x x) eps) eps) (.f64 (neg.f64 eps) (-.f64 (neg.f64 (.f64 x x)) #s(literal 1 binary64))))
#s(approx (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/3 binary64)) (.f64 eps eps))) #s(literal 2/15 binary64)) (pow.f64 eps #s(literal 5 binary64)))))
#s(approx (tan (+ (+ (PI) eps) (PI))) (tan.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) eps))))
#s(approx (+ (+ (PI) eps) (PI)) (.f64 (neg.f64 eps) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 (PI.f64) eps)) #s(literal 1 binary64))))
#s(approx (+ (PI) eps) (*.f64 (neg.f64 eps) (-.f64 (neg.f64 (/.f64 (PI.f64) eps)) #s(literal 1 binary64))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (tan x)) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/3 binary64)) (.f64 eps eps))) #s(literal 2/15 binary64)) (pow.f64 eps #s(literal 5 binary64)))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (tan x)) (neg.f64 (.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) (.f64 (pow.f64 eps #s(literal 5 binary64)) (cos.f64 x))) (+.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/3 binary64) (pow.f64 eps #s(literal -4 binary64))) #s(literal 2/15 binary64))) (pow.f64 eps #s(literal 5 binary64)))))

eval203.0ms (3.1%)

Memory: -21.0MiB live, 172.5MiB allocated; 71ms collecting garbage
Compiler: Compiled 56 458 to 4 216 computations (92.5% saved)

prune43.0ms (0.7%)

Memory

-8.8MiB live, 40.1MiB allocated; 6ms collecting garbage

Pruning

14 alts after pruning (5 fresh and 9 done)

	Pruned	Kept	Total
New	840	5	845
Fresh	0	0	0
Picked	2	3	5
Done	0	6	6
Total	842	14	856

Accuracy

100.0%

Counts

856 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.7%	(/.f64 (-.f64 (.f64 #s(approx (+ (tan x) (tan eps)) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps (tan.f64 x))) (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 (+.f64 (+.f64 (PI.f64) eps) (PI.f64))))) (cos.f64 x)))
	61.7%	(/.f64 (-.f64 (.f64 #s(approx (+ (tan x) (tan eps)) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps (tan.f64 x))) (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) #s(approx (tan (+ (+ (PI) eps) (PI))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 eps eps) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)))) (cos.f64 x)))
	61.7%	(/.f64 (-.f64 (.f64 #s(approx (+ (tan x) (tan eps)) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps (tan.f64 x))) (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) #s(approx (tan (+ (+ (PI) eps) (PI))) (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps)))) (cos.f64 x)))
	100.0%	(/.f64 #s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (cos.f64 x) (.f64 #s(literal 2/15 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) (.f64 eps eps) (.f64 (cos.f64 x) #s(literal 1/3 binary64))) (/.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (.f64 eps eps) (cos.f64 x)) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) eps)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan (+ (+ (PI) eps) (PI))) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps)))) (cos.f64 x)))
	100.0%	(/.f64 #s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (cos.f64 x) (.f64 #s(literal 2/15 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) (.f64 eps eps) (.f64 (cos.f64 x) #s(literal 1/3 binary64))) (/.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (.f64 eps eps) (cos.f64 x)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))) eps)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))
✓	3.3%	(-.f64 (tan.f64 (+.f64 (+.f64 eps x) (PI.f64))) (tan.f64 x))
✓	61.7%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓	99.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
✓	2.8%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64))))
✓	3.0%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 (PI.f64) eps)))
✓	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (*.f64 x x) eps eps)))
✓	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps))
✓	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)))
✓	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps)))

Compiler

Compiled 1 256 to 458 computations (63.5% saved)

regimes17.0ms (0.3%)

Memory

22.8MiB live, 22.8MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes17.0ms (0.3%)

Memory

-20.8MiB live, 25.9MiB allocated; 2ms collecting garbage

Counts

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

Outputs

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

Calls

3 calls:

6.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
5.0ms	eps
5.0ms	x

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes15.0ms (0.2%)

Memory

23.0MiB live, 23.0MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.7%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
99.7%	1	`x`
99.7%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes10.0ms (0.2%)

Memory

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

Counts

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.7%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
99.7%	1	`x`
99.7%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes5.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated; 0ms 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)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (*.f64 x x) eps eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)))

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes18.0ms (0.3%)

Memory

-41.1MiB live, 5.6MiB allocated; 2ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
1.0ms	eps
1.0ms	x

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

derivations150.0ms (2.3%)

Memory

37.1MiB live, 130.7MiB allocated; 12ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 264 to 87 computations (67% saved)

preprocess74.0ms (1.1%)

Memory: -11.4MiB live, 79.3MiB allocated; 15ms collecting garbage
Compiler: Compiled 612 to 234 computations (61.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze33.0ms (0.5%)

sample4.6s (70.9%)

explain99.0ms (1.5%)

preprocess56.0ms (0.9%)

series13.0ms (0.2%)

rewrite177.0ms (2.7%)

eval10.0ms (0.2%)

prune19.0ms (0.3%)

series49.0ms (0.7%)

rewrite182.0ms (2.8%)

eval92.0ms (1.4%)

prune21.0ms (0.3%)

series47.0ms (0.7%)

rewrite195.0ms (3%)

eval48.0ms (0.7%)

prune15.0ms (0.2%)

series59.0ms (0.9%)

rewrite222.0ms (3.4%)

eval203.0ms (3.1%)

prune43.0ms (0.7%)

regimes17.0ms (0.3%)

regimes17.0ms (0.3%)

regimes15.0ms (0.2%)

regimes10.0ms (0.2%)

regimes5.0ms (0.1%)

regimes18.0ms (0.3%)

derivations150.0ms (2.3%)

preprocess74.0ms (1.1%)

end0.0ms (0%)

Profiling