Metrics for 2tan (problem 3.3.2)

start0.0ms (0%)

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

analyze42.0ms (0.5%)

Memory

-19.6MiB live, 75.8MiB allocated; 5ms 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)

sample5.8s (63.1%)

Memory

84.7MiB live, 6 723.6MiB allocated; 2.3s collecting garbage

Samples

2.6s	26 116×	0	invalid
1.5s	5 172×	1	valid
293.0ms	3 084×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.1s

ival-sub: 669.0ms (21.4% of total)

ival-tan: 605.0ms (19.4% of total)

const: 528.0ms (16.9% of total)

ival-add: 330.0ms (10.6% of total)

adjust: 251.0ms (8% of total)

ival-mult: 231.0ms (7.4% of total)

ival-fabs: 219.0ms (7% of total)

ival-<: 202.0ms (6.5% of total)

ival-and: 76.0ms (2.4% of total)

ival-assert: 12.0ms (0.4% of total)

Bogosity

explain122.0ms (1.3%)

Memory

26.2MiB live, 125.4MiB allocated; 13ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
218	2	(3.4725078007134564e-242 3.294658474182622e-244)	1	(1.9416216311275204e-124 3.85476721704974e-126)	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
1	0	-	1	(81.55518019855938 6.4189527874727e-9)	`(tan.f64 (+.f64 x eps))`
0	0	-	0	-	`eps`
0	0	-	0	-	`(+.f64 x eps)`
0	0	-	0	-	`(tan.f64 x)`
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	219	8

Confusion

	Predicted +	Predicted -
+	217	1
-	2	36

Precision

0.9908675799086758

Recall

0.9954128440366973

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	217	1	0
-	2	7	29

Precision?

0.960352422907489

Recall?

1.0

Freqs

test

number	freq
0	37
1	219

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

47.0ms	308×	1	valid
11.0ms	202×	0	valid
1.0ms	2×	3	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

adjust: 14.0ms (39.6% of total)

ival-tan: 12.0ms (34% of total)

ival-add: 5.0ms (14.2% of total)

ival-sub: 4.0ms (11.3% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

preprocess192.0ms (2.1%)

Memory

-36.0MiB live, 199.7MiB allocated; 28ms 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
0	6	7
0	10	7
1	16	7
2	25	7
3	41	7
4	66	7
5	117	7
6	221	7
7	472	7
8	1313	7
9	3234	7
10	5204	7
0	8088	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.5%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Compiler

Compiled 7 to 6 computations (14.3% saved)

series12.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB allocated; 0ms collecting garbage

Counts

6 → 36

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite181.0ms (2%)

Memory

25.0MiB live, 120.5MiB allocated; 22ms 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))))

eval17.0ms (0.2%)

Memory: -33.0MiB live, 12.6MiB allocated; 5ms collecting garbage
Compiler: Compiled 1 929 to 400 computations (79.3% saved)

prune7.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	81	8	89
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	81	9	90

Accuracy

100.0%

Counts

90 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.5%	(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
▶	6.5%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x (PI.f64))))
✓	62.5%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	61.9%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
▶	99.1%	#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)))
▶	100.0%	#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))
	99.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
▶	98.3%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))

Compiler

Compiled 415 to 256 computations (38.3% saved)

series112.0ms (1.2%)

Memory

24.6MiB live, 69.5MiB allocated; 5ms collecting garbage

Counts

55 → 294

Calls

Call 1

Inputs
#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))
(.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)
(-.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))))
(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))
(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))))
(neg.f64 eps)
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))
(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))))
(/.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)))
(*.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)))
(-.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)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(sin.f64 x)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(cos.f64 x)
#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 -1/2 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)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
(tan.f64 eps)
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x (PI.f64))))
(tan.f64 (+.f64 x eps))
(+.f64 x eps)
(tan.f64 (+.f64 x (PI.f64)))
(+.f64 x (PI.f64))
(PI.f64)
(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(sin.f64 (-.f64 (+.f64 eps x) x))
(-.f64 (+.f64 eps x) x)
(+.f64 eps x)
(*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(cos.f64 (+.f64 eps x))
#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 (* (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (* (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow eps 2) x))))
#s(approx (* (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (pow eps 2))))))
#s(approx (* (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* x (+ (* x (+ (* 4/3 (* (pow eps 2) x)) (* eps (+ 1 (* 4/3 (pow eps 2)))))) (pow eps 2))))))
#s(approx (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* 1/3 (pow eps 2)))))
#s(approx (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* eps x)))))
#s(approx (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2))))))))))
#s(approx (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2)))))))))))
#s(approx (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (+ 1 (* 1/3 (pow eps 2)))))
#s(approx (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* eps x)))))
#s(approx (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* 4/3 (* (pow eps 2) x))))))))
#s(approx (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2))))))))))
#s(approx (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) #s(hole binary64 (* 1/3 eps)))
#s(approx (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) #s(hole binary64 (+ x (* 1/3 eps))))
#s(approx (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) #s(hole binary64 (+ (* 1/3 eps) (* x (+ 1 (* 4/3 (* eps x)))))))
#s(approx (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) #s(hole binary64 (+ (* 1/3 eps) (* x (+ 1 (* x (+ (* 4/3 eps) (* 4/3 x))))))))
#s(approx (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) #s(hole binary64 -1/3))
#s(approx (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) #s(hole binary64 (- (* -4/3 (pow x 2)) 1/3)))
#s(approx (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) #s(hole binary64 (- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/3)))
#s(approx (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/3)))
#s(approx (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) #s(hole binary64 -1/2))
#s(approx (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) #s(hole binary64 (- (* -4/3 (pow x 2)) 1/2)))
#s(approx (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) #s(hole binary64 (- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/2)))
#s(approx (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/2)))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) #s(hole binary64 (pow x 2)))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* 5/3 (pow x 2))))))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 5/3 (* 77/45 (pow x 2))))))))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 5/3 (* (pow x 2) (+ 77/45 (* 88/63 (pow x 2))))))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) #s(hole binary64 (pow x 2)))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (pow (sin 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 (- 1 (neg (pow (tan x) 2))) #s(hole binary64 1))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (- (* -2/3 (pow x 2)) 1))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -62/315 (pow x 2)) 17/45)) 2/3)) 1))))
#s(approx (pow (tan x) 2) #s(hole binary64 (pow x 2)))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (pow (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 (pow (cos x) 2) #s(hole binary64 1))
#s(approx (pow (cos x) 2) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (pow (cos x) 2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (pow (cos x) 2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 -1/2))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* -1/3 (pow x 2)) 1/2)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/2)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/2)))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/9 (pow x 2))))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/9 (* 17/270 (pow x 2))))))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/9 (* (pow x 2) (+ 17/270 (* 31/945 (pow x 2))))))))))
#s(approx (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) #s(hole binary64 x))
#s(approx (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) #s(hole binary64 (* x (+ 1 (* 4/3 (pow x 2))))))
#s(approx (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 4/3 (* 17/15 (pow x 2))))))))
#s(approx (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/15 (* 248/315 (pow x 2))))))))))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 x))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 (* x (+ 1 (* 4/3 (pow x 2))))))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 4/3 (* 17/15 (pow x 2))))))))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/15 (* 248/315 (pow x 2))))))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) #s(hole binary64 x))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) #s(hole binary64 (* x (+ 1 (* 5/6 (pow x 2))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2))))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 5/6 (* (pow x 2) (+ 61/120 (* 277/1008 (pow x 2))))))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (/ (sin eps) (cos eps)) (/ (sin (PI)) (cos (PI))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (+ (* x (- (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (+ (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* x (- (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (tan (+ x (PI))) #s(hole binary64 (/ (sin (PI)) (cos (PI)))))
#s(approx (tan (+ x (PI))) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ x (PI))) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ x (PI))) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))))) (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI))))))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (+ x (PI)) #s(hole binary64 (PI)))
#s(approx (+ x (PI)) #s(hole binary64 (+ x (PI))))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (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 (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (sin (- (+ eps x) x)) #s(hole binary64 (sin eps)))
#s(approx (- (+ eps x) x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (cos eps)))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (+ (cos eps) (* -1 (* x (sin eps))))))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos eps)))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos eps) (* -1 (* x (sin eps))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))))
#s(approx (+ (* (- (/ (* (* 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 (* (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (+ (* eps (+ (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* eps (+ (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (+ 1 (* eps (+ (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))))))
#s(approx (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) #s(hole binary64 (+ (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))))
#s(approx (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) #s(hole binary64 (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))))
#s(approx (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) #s(hole binary64 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) #s(hole binary64 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) #s(hole binary64 (* (pow (sin x) 2) (+ 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 (pow (sin x) 2) #s(hole binary64 (pow (sin x) 2)))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (pow (cos x) 2) #s(hole binary64 (pow (cos x) 2)))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) #s(hole binary64 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) #s(hole binary64 (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (+ eps x)) (cos (+ eps x)))))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (tan (+ x (PI))) #s(hole binary64 (/ (sin (+ x (PI))) (cos (+ x (PI))))))
#s(approx (+ x (PI)) #s(hole binary64 x))
#s(approx (+ x (PI)) #s(hole binary64 (* x (+ 1 (/ (PI) x)))))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) #s(hole binary64 (/ (sin eps) (* (cos x) (cos (+ eps x))))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (* (cos x) (cos (+ eps x)))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos (+ 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)) (tan (+ x (PI)))) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x)))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (tan (+ x (PI))) #s(hole binary64 (/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x))))))
#s(approx (+ x (PI)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (PI) x)) 1)))))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) #s(hole binary64 (/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (* (cos x) (cos (- eps (* -1 x))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos (- eps (* -1 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) (+ (* -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 (* (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (* (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (+ 1 (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))
#s(approx (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) #s(hole binary64 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))
#s(approx (neg eps) #s(hole binary64 (* -1 eps)))
#s(approx eps #s(hole binary64 eps))
#s(approx (tan eps) #s(hole binary64 eps))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (/ (sin x) (cos x)) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) #s(hole binary64 (/ eps (pow (cos x) 2))))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) #s(hole binary64 (* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3))))))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) #s(hole binary64 (* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) #s(hole binary64 (* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))))
#s(approx (sin (- (+ eps x) x)) #s(hole binary64 eps))
#s(approx (sin (- (+ eps x) x)) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (sin (- (+ eps x) x)) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin (- (+ eps x) x)) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (pow (cos x) 2)))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2))))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2))))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos x)))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos x) (* -1 (* eps (sin x))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))))
#s(approx (+ (* (- (/ (* (* 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 (* (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))))))
#s(approx (* (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1 (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x)))))))
#s(approx (* (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1 (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (/ 1 (pow eps 2)) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x))) (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2)))))))))
#s(approx (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (* -1 (* (pow eps 2) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))))))
#s(approx (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x)))))))
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#s(approx (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (* -1 (* (pow eps 2) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))))))
#s(approx (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (* (pow eps 2) (+ (* -1 (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x)))))))
#s(approx (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (* (pow eps 2) (+ (* -1 (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (/ 1 (pow eps 2)) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x))))))))
#s(approx (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) #s(hole binary64 (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))))))
#s(approx (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) #s(hole binary64 (* eps (+ (* -1 (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x)))))))
#s(approx (tan eps) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x 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 (* (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ 1/6 (+ (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x)))) (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))))
#s(approx (* (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1 (/ (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))) eps)) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))))
#s(approx (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* -1 (/ (+ (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps))) eps))))))
#s(approx (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (* (pow eps 2) (+ (* -1 (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* -1 (/ (- (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ 1 eps)) eps))))))
#s(approx (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) #s(hole binary64 (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x)))) (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) #s(hole binary64 (/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))))
#s(approx (sin (- (+ eps x) x)) #s(hole binary64 (sin (neg (* -1 eps)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (* (cos x) (cos (- x (* -1 eps))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos (- x (* -1 eps)))))

Calls

6 calls:

Time	Variable		Point	Expression
43.0ms	eps	@	0	((- (tan (+ x eps)) (tan x)) (* (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (neg eps) eps (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (- 1 (neg (pow (tan x) 2))) 1 (neg (pow (tan x) 2)) (pow (tan x) 2) (tan x) x 2 (pow (sin x) 2) (sin x) (pow (cos x) 2) (cos x) -1 (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) -1/2 (* (pow (tan x) 2) 1/6) 1/6 (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (* (- 1 (neg (pow (tan x) 2))) (sin x)) (- (tan (+ x eps)) (tan x)) (tan eps) (- (tan (+ x eps)) (tan (+ x (PI)))) (tan (+ x eps)) (+ x eps) (tan (+ x (PI))) (+ x (PI)) (PI) (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (sin (- (+ eps x) x)) (- (+ eps x) x) (+ eps x) (* (cos (+ eps x)) (cos x)) (cos (+ eps x)) (- (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))
14.0ms	x	@	0	((- (tan (+ x eps)) (tan x)) (* (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (neg eps) eps (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (- 1 (neg (pow (tan x) 2))) 1 (neg (pow (tan x) 2)) (pow (tan x) 2) (tan x) x 2 (pow (sin x) 2) (sin x) (pow (cos x) 2) (cos x) -1 (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) -1/2 (* (pow (tan x) 2) 1/6) 1/6 (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (* (- 1 (neg (pow (tan x) 2))) (sin x)) (- (tan (+ x eps)) (tan x)) (tan eps) (- (tan (+ x eps)) (tan (+ x (PI)))) (tan (+ x eps)) (+ x eps) (tan (+ x (PI))) (+ x (PI)) (PI) (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (sin (- (+ eps x) x)) (- (+ eps x) x) (+ eps x) (* (cos (+ eps x)) (cos x)) (cos (+ eps x)) (- (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))
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rewrite197.0ms (2.1%)

Memory

-12.4MiB live, 215.1MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1296	12539
0	1393	11333
0	8270	11039

Stop Event

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

Counts

349 → 492

Calls

Call 1

Inputs
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eps
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#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)))))
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#s(approx (* (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (* (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow eps 2) x))))
#s(approx (* (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (pow eps 2))))))
#s(approx (* (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* x (+ (* x (+ (* 4/3 (* (pow eps 2) x)) (* eps (+ 1 (* 4/3 (pow eps 2)))))) (pow eps 2))))))
#s(approx (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* 1/3 (pow eps 2)))))
#s(approx (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* eps x)))))
#s(approx (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2))))))))))
#s(approx (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2)))))))))))
#s(approx (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (+ 1 (* 1/3 (pow eps 2)))))
#s(approx (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* eps x)))))
#s(approx (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* 4/3 (* (pow eps 2) x))))))))
#s(approx (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2))))))))))
#s(approx (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) #s(hole binary64 (* 1/3 eps)))
#s(approx (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) #s(hole binary64 (+ x (* 1/3 eps))))
#s(approx (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) #s(hole binary64 (+ (* 1/3 eps) (* x (+ 1 (* 4/3 (* eps x)))))))
#s(approx (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) #s(hole binary64 (+ (* 1/3 eps) (* x (+ 1 (* x (+ (* 4/3 eps) (* 4/3 x))))))))
#s(approx (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) #s(hole binary64 -1/3))
#s(approx (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) #s(hole binary64 (- (* -4/3 (pow x 2)) 1/3)))
#s(approx (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) #s(hole binary64 (- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/3)))
#s(approx (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/3)))
#s(approx (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) #s(hole binary64 -1/2))
#s(approx (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) #s(hole binary64 (- (* -4/3 (pow x 2)) 1/2)))
#s(approx (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) #s(hole binary64 (- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/2)))
#s(approx (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/2)))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) #s(hole binary64 (pow x 2)))
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#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 5/3 (* 77/45 (pow x 2))))))))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 5/3 (* (pow x 2) (+ 77/45 (* 88/63 (pow x 2))))))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) #s(hole binary64 (pow x 2)))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
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#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 1))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (pow x 2))))
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#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* -1 (pow x 2))))
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#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1))))
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#s(approx (pow (tan x) 2) #s(hole binary64 (pow x 2)))
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#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (pow (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 (pow (cos x) 2) #s(hole binary64 1))
#s(approx (pow (cos x) 2) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (pow (cos x) 2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (pow (cos x) 2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 -1/2))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* -1/3 (pow x 2)) 1/2)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/2)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/2)))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/9 (pow x 2))))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/9 (* 17/270 (pow x 2))))))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/9 (* (pow x 2) (+ 17/270 (* 31/945 (pow x 2))))))))))
#s(approx (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) #s(hole binary64 x))
#s(approx (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) #s(hole binary64 (* x (+ 1 (* 4/3 (pow x 2))))))
#s(approx (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 4/3 (* 17/15 (pow x 2))))))))
#s(approx (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/15 (* 248/315 (pow x 2))))))))))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 x))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 (* x (+ 1 (* 4/3 (pow x 2))))))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 4/3 (* 17/15 (pow x 2))))))))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/15 (* 248/315 (pow x 2))))))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) #s(hole binary64 x))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) #s(hole binary64 (* x (+ 1 (* 5/6 (pow x 2))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2))))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 5/6 (* (pow x 2) (+ 61/120 (* 277/1008 (pow x 2))))))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (/ (sin eps) (cos eps)) (/ (sin (PI)) (cos (PI))))))
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#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (+ (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* x (- (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (tan (+ x (PI))) #s(hole binary64 (/ (sin (PI)) (cos (PI)))))
#s(approx (tan (+ x (PI))) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ x (PI))) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ x (PI))) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))))) (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI))))))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (+ x (PI)) #s(hole binary64 (PI)))
#s(approx (+ x (PI)) #s(hole binary64 (+ x (PI))))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (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 (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (sin (- (+ eps x) x)) #s(hole binary64 (sin eps)))
#s(approx (- (+ eps x) x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (cos eps)))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (+ (cos eps) (* -1 (* x (sin eps))))))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos eps)))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos eps) (* -1 (* x (sin eps))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))))
#s(approx (+ (* (- (/ (* (* 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 (* (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (+ (* eps (+ (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* eps (+ (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (+ 1 (* eps (+ (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))))))
#s(approx (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) #s(hole binary64 (+ (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))))
#s(approx (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) #s(hole binary64 (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))))
#s(approx (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) #s(hole binary64 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) #s(hole binary64 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) #s(hole binary64 (* (pow (sin x) 2) (+ 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 (pow (sin x) 2) #s(hole binary64 (pow (sin x) 2)))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (pow (cos x) 2) #s(hole binary64 (pow (cos x) 2)))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) #s(hole binary64 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) #s(hole binary64 (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (+ eps x)) (cos (+ eps x)))))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (tan (+ x (PI))) #s(hole binary64 (/ (sin (+ x (PI))) (cos (+ x (PI))))))
#s(approx (+ x (PI)) #s(hole binary64 x))
#s(approx (+ x (PI)) #s(hole binary64 (* x (+ 1 (/ (PI) x)))))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) #s(hole binary64 (/ (sin eps) (* (cos x) (cos (+ eps x))))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (* (cos x) (cos (+ eps x)))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos (+ 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)) (tan (+ x (PI)))) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x)))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (tan (+ x (PI))) #s(hole binary64 (/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x))))))
#s(approx (+ x (PI)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (PI) x)) 1)))))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) #s(hole binary64 (/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (* (cos x) (cos (- eps (* -1 x))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos (- eps (* -1 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) (+ (* -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 (* (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (* (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (+ 1 (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))
#s(approx (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) #s(hole binary64 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))
#s(approx (neg eps) #s(hole binary64 (* -1 eps)))
#s(approx eps #s(hole binary64 eps))
#s(approx (tan eps) #s(hole binary64 eps))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (/ (sin x) (cos x)) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) #s(hole binary64 (/ eps (pow (cos x) 2))))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) #s(hole binary64 (* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3))))))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) #s(hole binary64 (* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) #s(hole binary64 (* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))))
#s(approx (sin (- (+ eps x) x)) #s(hole binary64 eps))
#s(approx (sin (- (+ eps x) x)) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (sin (- (+ eps x) x)) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin (- (+ eps x) x)) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (pow (cos x) 2)))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2))))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2))))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos x)))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos x) (* -1 (* eps (sin x))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))))
#s(approx (+ (* (- (/ (* (* 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 (* (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))))))
#s(approx (* (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1 (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x)))))))
#s(approx (* (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1 (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (/ 1 (pow eps 2)) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x))) (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2)))))))))
#s(approx (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (* -1 (* (pow eps 2) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))))))
#s(approx (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x)))))))
#s(approx (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (/ 1 (pow eps 2)) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x))) (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2)))))))))
#s(approx (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (* -1 (* (pow eps 2) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))))))
#s(approx (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (* (pow eps 2) (+ (* -1 (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x)))))))
#s(approx (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (* (pow eps 2) (+ (* -1 (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (/ 1 (pow eps 2)) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x))))))))
#s(approx (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) #s(hole binary64 (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))))))
#s(approx (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) #s(hole binary64 (* eps (+ (* -1 (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x)))))))
#s(approx (tan eps) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x 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 (* (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ 1/6 (+ (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x)))) (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))))
#s(approx (* (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1 (/ (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))) eps)) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))))
#s(approx (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* -1 (/ (+ (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps))) eps))))))
#s(approx (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (* (pow eps 2) (+ (* -1 (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* -1 (/ (- (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ 1 eps)) eps))))))
#s(approx (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) #s(hole binary64 (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x)))) (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))))
#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) #s(hole binary64 (/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))))
#s(approx (sin (- (+ eps x) x)) #s(hole binary64 (sin (neg (* -1 eps)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (* (cos (+ eps x)) (cos x)) #s(hole binary64 (* (cos x) (cos (- x (* -1 eps))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos (- x (* -1 eps)))))

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

eval120.0ms (1.3%)

Memory: 0.6MiB live, 193.3MiB allocated; 21ms collecting garbage
Compiler: Compiled 44 335 to 4 136 computations (90.7% saved)

prune22.0ms (0.2%)

Memory

10.5MiB live, 60.6MiB allocated; 5ms collecting garbage

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	684	14	698
Fresh	3	0	3
Picked	4	1	5
Done	0	1	1
Total	691	16	707

Accuracy

100.0%

Counts

707 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 #s(approx (sin (- (+ eps x) x)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	99.9%	(/.f64 #s(approx (sin (- (+ eps x) x)) eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
✓	6.5%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x (PI.f64))))
✓	62.5%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶	99.6%	#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
	99.9%	#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) (*.f64 (fma.f64 eps (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) eps))
	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 #s(approx (+ ( (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (fma.f64 #s(literal 1/3 binary64) eps x)) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(approx (+ ( (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
	99.1%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) (fma.f64 eps x (.f64 eps eps)) #s(literal 1 binary64)) x eps) x (.f64 (*.f64 eps eps) #s(literal 1/3 binary64))) #s(literal 1 binary64))) eps))
▶	98.3%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) (.f64 eps x)) #s(literal 1 binary64))) eps))
	99.0%	#s(approx (- (tan (+ x eps)) (tan 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)))
	99.1%	#s(approx (- (tan (+ x eps)) (tan x)) #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 #s(literal 4/3 binary64) x) x #s(literal 1/3 binary64)) eps x) eps (*.f64 x x)) #s(literal 1 binary64)) eps)))
	99.1%	#s(approx (- (tan (+ x eps)) (tan x)) #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)))
	99.1%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps (.f64 (.f64 #s(literal 4/3 binary64) (.f64 eps eps)) x)) x (.f64 eps eps)) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))))
▶	99.1%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) x) eps (.f64 eps eps)) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))))
▶	98.3%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) eps))

Compiler

Compiled 1 590 to 870 computations (45.3% saved)

series61.0ms (0.7%)

Memory

15.6MiB live, 103.1MiB allocated; 17ms collecting garbage

Counts

35 → 189

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
18.0ms	eps	@	inf	((/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (sin (- (+ eps x) x)) (* (+ (* -1/6 (* eps eps)) 1) eps) (+ (* -1/6 (* eps eps)) 1) -1/6 (* eps eps) eps 1 (* (cos (+ eps x)) (cos x)) (cos (+ eps x)) (+ eps x) x (cos x) (- (tan (+ x eps)) (tan x)) (tan eps) (- (tan (+ x eps)) (tan x)) (* (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+ (+ (* (* eps eps) 1/3) (* eps x)) 1) (+ (* (* eps eps) 1/3) (* eps x)) 1/3 (* eps x) (- (tan (+ x eps)) (tan x)) (* (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (+ (* (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) x) (* (+ (* (* eps eps) 1/3) 1) eps)) (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) (* (+ (* 4/3 (* eps eps)) 1) x) (+ (* 4/3 (* eps eps)) 1) 4/3 (* (+ (* (* eps eps) 1/3) 1) eps) (+ (* (* eps eps) 1/3) 1) (- (tan (+ x eps)) (tan (+ x (PI)))) (/ eps (pow (cos x) 2)) (pow (cos x) 2) 2)
11.0ms	x	@	-inf	((/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (sin (- (+ eps x) x)) (* (+ (* -1/6 (* eps eps)) 1) eps) (+ (* -1/6 (* eps eps)) 1) -1/6 (* eps eps) eps 1 (* (cos (+ eps x)) (cos x)) (cos (+ eps x)) (+ eps x) x (cos x) (- (tan (+ x eps)) (tan x)) (tan eps) (- (tan (+ x eps)) (tan x)) (* (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+ (+ (* (* eps eps) 1/3) (* eps x)) 1) (+ (* (* eps eps) 1/3) (* eps x)) 1/3 (* eps x) (- (tan (+ x eps)) (tan x)) (* (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (+ (* (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) x) (* (+ (* (* eps eps) 1/3) 1) eps)) (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) (* (+ (* 4/3 (* eps eps)) 1) x) (+ (* 4/3 (* eps eps)) 1) 4/3 (* (+ (* (* eps eps) 1/3) 1) eps) (+ (* (* eps eps) 1/3) 1) (- (tan (+ x eps)) (tan (+ x (PI)))) (/ eps (pow (cos x) 2)) (pow (cos x) 2) 2)
9.0ms	eps	@	-inf	((/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (sin (- (+ eps x) x)) (* (+ (* -1/6 (* eps eps)) 1) eps) (+ (* -1/6 (* eps eps)) 1) -1/6 (* eps eps) eps 1 (* (cos (+ eps x)) (cos x)) (cos (+ eps x)) (+ eps x) x (cos x) (- (tan (+ x eps)) (tan x)) (tan eps) (- (tan (+ x eps)) (tan x)) (* (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+ (+ (* (* eps eps) 1/3) (* eps x)) 1) (+ (* (* eps eps) 1/3) (* eps x)) 1/3 (* eps x) (- (tan (+ x eps)) (tan x)) (* (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (+ (* (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) x) (* (+ (* (* eps eps) 1/3) 1) eps)) (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) (* (+ (* 4/3 (* eps eps)) 1) x) (+ (* 4/3 (* eps eps)) 1) 4/3 (* (+ (* (* eps eps) 1/3) 1) eps) (+ (* (* eps eps) 1/3) 1) (- (tan (+ x eps)) (tan (+ x (PI)))) (/ eps (pow (cos x) 2)) (pow (cos x) 2) 2)
7.0ms	x	@	inf	((/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (sin (- (+ eps x) x)) (* (+ (* -1/6 (* eps eps)) 1) eps) (+ (* -1/6 (* eps eps)) 1) -1/6 (* eps eps) eps 1 (* (cos (+ eps x)) (cos x)) (cos (+ eps x)) (+ eps x) x (cos x) (- (tan (+ x eps)) (tan x)) (tan eps) (- (tan (+ x eps)) (tan x)) (* (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+ (+ (* (* eps eps) 1/3) (* eps x)) 1) (+ (* (* eps eps) 1/3) (* eps x)) 1/3 (* eps x) (- (tan (+ x eps)) (tan x)) (* (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (+ (* (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) x) (* (+ (* (* eps eps) 1/3) 1) eps)) (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) (* (+ (* 4/3 (* eps eps)) 1) x) (+ (* 4/3 (* eps eps)) 1) 4/3 (* (+ (* (* eps eps) 1/3) 1) eps) (+ (* (* eps eps) 1/3) 1) (- (tan (+ x eps)) (tan (+ x (PI)))) (/ eps (pow (cos x) 2)) (pow (cos x) 2) 2)
5.0ms	eps	@	0	((/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (sin (- (+ eps x) x)) (* (+ (* -1/6 (* eps eps)) 1) eps) (+ (* -1/6 (* eps eps)) 1) -1/6 (* eps eps) eps 1 (* (cos (+ eps x)) (cos x)) (cos (+ eps x)) (+ eps x) x (cos x) (- (tan (+ x eps)) (tan x)) (tan eps) (- (tan (+ x eps)) (tan x)) (* (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+ (+ (* (* eps eps) 1/3) (* eps x)) 1) (+ (* (* eps eps) 1/3) (* eps x)) 1/3 (* eps x) (- (tan (+ x eps)) (tan x)) (* (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (+ (* (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) x) (* (+ (* (* eps eps) 1/3) 1) eps)) (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) (* (+ (* 4/3 (* eps eps)) 1) x) (+ (* 4/3 (* eps eps)) 1) 4/3 (* (+ (* (* eps eps) 1/3) 1) eps) (+ (* (* eps eps) 1/3) 1) (- (tan (+ x eps)) (tan (+ x (PI)))) (/ eps (pow (cos x) 2)) (pow (cos x) 2) 2)

rewrite866.0ms (9.4%)

Memory

-50.1MiB live, 213.4MiB allocated; 1.3s collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	893	8003
0	935	7116
1	5886	7116
0	8244	6785

Stop Event

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

Counts

224 → 380

Calls

Call 1

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

Outputs
(/.f64 (/.f64 #s(approx (sin (- (+ eps x) x)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(/.f64 (neg.f64 #s(approx (sin (- (+ eps x) x)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))) (neg.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 #s(approx (sin (- (+ eps x) x)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
#s(approx (sin (- (+ eps x) x)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))
(.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)
(.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 eps) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/6 binary64)) eps))
(fma.f64 #s(literal 1 binary64) eps (.f64 (.f64 (*.f64 eps eps) #s(literal -1/6 binary64)) eps))
(fma.f64 eps #s(literal 1 binary64) (.f64 eps (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))))
(+.f64 (.f64 eps #s(literal 1 binary64)) (.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) eps) (.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (.f64 (.f64 eps eps) #s(literal -1/6 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 (*.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 #s(literal -1/6 binary64) eps) eps #s(literal 1 binary64))
(fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))
(+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64)))
#s(literal -1/6 binary64)
(*.f64 (pow.f64 eps #s(literal 1 binary64)) (pow.f64 eps #s(literal 1 binary64)))
(*.f64 (fabs.f64 eps) (fabs.f64 eps))
(*.f64 (neg.f64 eps) (neg.f64 eps))
(*.f64 eps eps)
(pow.f64 eps #s(literal 2 binary64))
(+.f64 (cosh.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))
eps
#s(literal 1 binary64)
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#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 eps) #s(literal 0 binary64)))
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#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (*.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 0 binary64)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) x (-.f64 (tan.f64 eps) #s(literal 0 binary64))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (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)))))) x #s(literal 0 binary64)) (neg.f64 (*.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 0 binary64)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) x (-.f64 (tan.f64 eps) #s(literal 0 binary64))))
#s(approx (/ eps (pow (cos x) 2)) eps)
#s(approx (/ eps (pow (cos x) 2)) (fma.f64 (*.f64 x x) eps eps))
#s(approx (/ eps (pow (cos x) 2)) (fma.f64 (fma.f64 (neg.f64 (.f64 x x)) (.f64 eps #s(literal -2/3 binary64)) (.f64 #s(literal 1 binary64) eps)) (.f64 x x) eps))
#s(approx (/ eps (pow (cos x) 2)) (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 (.f64 x x)) (fma.f64 eps #s(literal 28/45 binary64) (neg.f64 eps))) (.f64 eps #s(literal -2/3 binary64))) (.f64 x x) (.f64 #s(literal 1 binary64) eps)) (.f64 x x) eps))
#s(approx (pow (cos x) 2) #s(literal 1 binary64))
#s(approx (pow (cos x) 2) (fma.f64 (*.f64 x x) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (pow (cos x) 2) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (pow (cos x) 2) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -2/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
#s(approx (* (cos (+ eps x)) (cos x)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
#s(approx (cos (+ eps x)) (cos.f64 (+.f64 x eps)))
#s(approx (+ eps x) x)
#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))
#s(approx (cos x) (cos.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
#s(approx (* (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (.f64 (+.f64 (fma.f64 (fma.f64 (neg.f64 eps) (+.f64 (fma.f64 (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 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 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 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 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 x)) (cos.f64 x))) eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64)) eps))
#s(approx (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 (fma.f64 (fma.f64 (neg.f64 eps) (+.f64 (fma.f64 (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 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 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 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 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 x)) (cos.f64 x))) eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64)))
#s(approx (+ (+ (* (* eps eps) 1/3) (* eps x)) 1) (*.f64 x eps))
#s(approx (+ (+ (* (* eps eps) 1/3) (* eps x)) 1) (.f64 (+.f64 (/.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) x) eps) x))
#s(approx (+ (* (* eps eps) 1/3) (* eps x)) (*.f64 x eps))
#s(approx (+ (* (* eps eps) 1/3) (* eps x)) (.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 1/3 binary64) eps) x))
#s(approx (+ (* (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) x) (* (+ (* (* eps eps) 1/3) 1) eps)) (.f64 (.f64 (.f64 x x) eps) (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64))))
#s(approx (+ (* (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) x) (* (+ (* (* eps eps) 1/3) 1) eps)) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) eps (/.f64 (.f64 eps eps) x)) (.f64 x x)))
#s(approx (+ (* (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) x) (* (+ (* (* eps eps) 1/3) 1) eps)) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) eps (fma.f64 eps (/.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 x x)) (/.f64 (.f64 eps eps) x))) (.f64 x x)))
#s(approx (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) (.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) x) eps))
#s(approx (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) eps (/.f64 (*.f64 eps eps) x)) x))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
#s(approx (/ eps (pow (cos x) 2)) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
#s(approx (pow (cos x) 2) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (-.f64 eps (neg.f64 x)))))
#s(approx (* (cos (+ eps x)) (cos x)) (*.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)))
#s(approx (cos (+ eps x)) (cos.f64 (-.f64 eps (neg.f64 x))))
#s(approx (+ eps x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (-.f64 eps (neg.f64 x))) (tan.f64 x)))
#s(approx (+ (+ (* (* eps eps) 1/3) (* eps x)) 1) (.f64 (neg.f64 x) (.f64 #s(literal -1 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) x) eps))))
#s(approx (+ (* (* eps eps) 1/3) (* eps x)) (.f64 (neg.f64 x) (fma.f64 #s(literal -1/3 binary64) (/.f64 (.f64 eps eps) x) (neg.f64 eps))))
#s(approx (+ (* (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) x) (* (+ (* (* eps eps) 1/3) 1) eps)) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) eps (neg.f64 (/.f64 (.f64 #s(literal -1 binary64) (fma.f64 eps (/.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) x) (.f64 eps eps))) x))) (.f64 x x)))
#s(approx (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) (.f64 (neg.f64 x) (.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) eps (/.f64 (.f64 eps eps) x)))))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (-.f64 eps (neg.f64 x))) (tan.f64 (-.f64 (PI.f64) (neg.f64 x)))))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 eps (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (-.f64 (.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1/6 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))))) eps) (neg.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) eps (pow.f64 (cos.f64 x) #s(literal -2 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 eps) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (.f64 (-.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1/6 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))))) (sin.f64 x)) (cos.f64 x)))) (-.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1/6 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))))) eps (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) eps (pow.f64 (cos.f64 x) #s(literal -2 binary64))) eps))
#s(approx (sin (- (+ eps x) x)) eps)
#s(approx (sin (- (+ eps x) x)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))
#s(approx (sin (- (+ eps x) x)) (.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 x) x)) (.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 (* (+ (* -1/6 (* eps eps)) 1) eps) eps)
#s(approx (* (+ (* -1/6 (* eps eps)) 1) eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))
#s(approx (+ (* -1/6 (* eps eps)) 1) #s(literal 1 binary64))
#s(approx (+ (* -1/6 (* eps eps)) 1) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (* eps eps) (*.f64 eps eps))
#s(approx eps eps)
#s(approx (* (cos (+ eps x)) (cos x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
#s(approx (* (cos (+ eps x)) (cos x)) (fma.f64 (neg.f64 eps) (*.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
#s(approx (* (cos (+ eps x)) (cos x)) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (neg.f64 (.f64 (cos.f64 x) (sin.f64 x)))) eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
#s(approx (* (cos (+ eps x)) (cos x)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) eps) (.f64 (cos.f64 x) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps (neg.f64 (.f64 (cos.f64 x) (sin.f64 x)))) eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
#s(approx (cos (+ eps x)) (cos.f64 x))
#s(approx (cos (+ eps x)) (fma.f64 (neg.f64 eps) (sin.f64 x) (cos.f64 x)))
#s(approx (cos (+ eps x)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps (cos.f64 x)))
#s(approx (cos (+ eps x)) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps (cos.f64 x)))
#s(approx (- (tan (+ x eps)) (tan 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))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps (.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (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))
#s(approx (- (tan (+ x eps)) (tan x)) (.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))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 eps) (fma.f64 (.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 -1/2 binary64) (fma.f64 (sin.f64 x) (/.f64 (+.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)) (cos.f64 x)) (.f64 (.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 1/6 binary64))))) (+.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))) eps (.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))
#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))
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#s(approx (+ eps x) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (-.f64 x (neg.f64 eps))) (tan.f64 x)))
#s(approx (* (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (neg.f64 (.f64 (+.f64 (fma.f64 (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 x)) (.f64 (cos.f64 x) eps)) #s(literal -1 binary64) (fma.f64 (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 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 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 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)) (pow.f64 eps #s(literal 3 binary64)))))
#s(approx (* (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (neg.f64 (.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (neg.f64 (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (fma.f64 (/.f64 (+.f64 (fma.f64 (sin.f64 x) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 x)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 eps #s(literal -1 binary64))) eps) #s(literal -1 binary64) (fma.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 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)))))) (pow.f64 eps #s(literal 3 binary64)))))
#s(approx (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (.f64 (.f64 #s(literal -1 binary64) (+.f64 (+.f64 (fma.f64 (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 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 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 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 (.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 x) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 x)) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps))) eps))) (.f64 eps eps)))
#s(approx (+ (+ (* (* eps eps) 1/3) (* eps x)) 1) (.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 x) (pow.f64 eps #s(literal -1 binary64))) eps) #s(literal -1 binary64) #s(literal 1/3 binary64)) (.f64 eps eps)))
#s(approx (+ (* (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) x) (* (+ (* (* eps eps) 1/3) 1) eps)) (neg.f64 (.f64 (-.f64 (.f64 #s(literal -4/3 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) x) (* (+ (* (* eps eps) 1/3) 1) eps)) (neg.f64 (.f64 (-.f64 (fma.f64 #s(literal -4/3 binary64) (.f64 x x) (/.f64 (neg.f64 x) eps)) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) x) (* (+ (* (* eps eps) 1/3) 1) eps)) (neg.f64 (.f64 (-.f64 (fma.f64 #s(literal -4/3 binary64) (.f64 x x) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) eps) #s(literal -1 binary64) x) eps))) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))))
#s(approx (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) (neg.f64 (.f64 (-.f64 (.f64 #s(literal -4/3 binary64) x) (pow.f64 eps #s(literal -1 binary64))) (pow.f64 eps #s(literal 3 binary64)))))
#s(approx (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) (neg.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (neg.f64 (/.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps))) (pow.f64 eps #s(literal 3 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (-.f64 x (neg.f64 eps))) (tan.f64 x)))

eval94.0ms (1%)

Memory: -16.6MiB live, 80.8MiB allocated; 40ms collecting garbage
Compiler: Compiled 32 660 to 2 209 computations (93.2% saved)

prune26.0ms (0.3%)

Memory

-5.9MiB live, 40.5MiB allocated; 5ms collecting garbage

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	448	13	461
Fresh	4	5	9
Picked	3	2	5
Done	1	1	2
Total	456	21	477

Accuracy

100.0%

Counts

477 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 #s(approx (sin (- (+ eps x) x)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)) (*.f64 (sin.f64 (+.f64 (+.f64 x eps) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 x)))
✓	100.0%	(/.f64 #s(approx (sin (- (+ eps x) x)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	99.5%	(/.f64 #s(approx (sin (- (+ eps x) x)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)) (.f64 (cos.f64 (+.f64 eps x)) #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)))))
▶	99.2%	(/.f64 #s(approx (sin (- (+ eps x) x)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)) (.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
	99.9%	(/.f64 #s(approx (sin (- (+ eps x) x)) #s(approx (* (+ (* -1/6 (* eps eps)) 1) eps) eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
✓	62.5%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	99.6%	#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) (/.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))))
	99.3%	#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) (/.f64 eps #s(approx (pow (cos x) 2) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -2/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))))
	99.3%	#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) (/.f64 eps #s(approx (pow (cos x) 2) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
▶	99.0%	#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) (/.f64 eps #s(approx (pow (cos x) 2) (fma.f64 (*.f64 x x) #s(literal -1 binary64) #s(literal 1 binary64)))))
	99.2%	#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(approx (/ eps (pow (cos x) 2)) (fma.f64 (fma.f64 (neg.f64 (.f64 x x)) (.f64 eps #s(literal -2/3 binary64)) (.f64 #s(literal 1 binary64) eps)) (.f64 x x) eps)))
	99.0%	#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(approx (/ eps (pow (cos x) 2)) (fma.f64 (*.f64 x x) eps eps)))
	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 #s(approx (+ ( (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (fma.f64 #s(literal 1/3 binary64) eps x)) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(approx (+ ( (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
	98.3%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(approx (+ (+ (* (* eps eps) 1/3) (* eps x)) 1) (fma.f64 x eps #s(literal 1 binary64)))) eps))
▶	99.0%	#s(approx (- (tan (+ x eps)) (tan 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)))
▶	99.1%	#s(approx (- (tan (+ x eps)) (tan x)) #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 #s(literal 4/3 binary64) x) x #s(literal 1/3 binary64)) eps x) eps (*.f64 x x)) #s(literal 1 binary64)) eps)))
	99.1%	#s(approx (- (tan (+ x eps)) (tan x)) #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)))
	98.3%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 (.f64 #s(approx (+ ( 4/3 (* eps eps)) 1) (.f64 (.f64 eps eps) #s(literal 4/3 binary64))) x) eps (.f64 eps eps)) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))))
	99.1%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (fma.f64 #s(approx (+ (* (* (+ (* 4/3 (* eps eps)) 1) x) eps) (* eps eps)) (.f64 (+.f64 x eps) eps)) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))))
✓	98.3%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) eps))

Compiler

Compiled 1 834 to 1 075 computations (41.4% saved)

series62.0ms (0.7%)

Memory

23.1MiB live, 67.2MiB allocated; 9ms collecting garbage

Counts

44 → 233

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
19.0ms	eps	@	0	((/ (sin (- (+ eps x) x)) (* (sin (+ (+ x eps) (/ (PI) 2))) (cos x))) (sin (- (+ eps x) x)) (* (+ (* -1/6 (* eps eps)) 1) eps) (+ (* -1/6 (* eps eps)) 1) -1/6 (* eps eps) eps 1 (* (sin (+ (+ x eps) (/ (PI) 2))) (cos x)) (sin (+ (+ x eps) (/ (PI) 2))) (+ (+ x eps) (/ (PI) 2)) (+ x eps) x (/ (PI) 2) (PI) 2 (cos x) (- (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 x) 1) eps) (+ (* x x) 1) (- (tan (+ x eps)) (tan (+ x (PI)))) (/ eps (pow (cos x) 2)) (pow (cos x) 2) (+ (* (* x x) -1) 1) (* x x) -1 (- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (* (+ (+ (* (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) eps) (* x x)) 1) eps) (+ (+ (* (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) eps) (* x x)) 1) (+ (* (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) eps) (* x x)) (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) (+ (* (* 4/3 x) x) 1/3) (* 4/3 x) 4/3 1/3 (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (* (cos (+ eps x)) (cos x)) (cos (+ eps x)) (+ eps x) (cos x) (+ (* (* x x) -1/2) 1) -1/2)
14.0ms	eps	@	inf	((/ (sin (- (+ eps x) x)) (* (sin (+ (+ x eps) (/ (PI) 2))) (cos x))) (sin (- (+ eps x) x)) (* (+ (* -1/6 (* eps eps)) 1) eps) (+ (* -1/6 (* eps eps)) 1) -1/6 (* eps eps) eps 1 (* (sin (+ (+ x eps) (/ (PI) 2))) (cos x)) (sin (+ (+ x eps) (/ (PI) 2))) (+ (+ x eps) (/ (PI) 2)) (+ x eps) x (/ (PI) 2) (PI) 2 (cos x) (- (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 x) 1) eps) (+ (* x x) 1) (- (tan (+ x eps)) (tan (+ x (PI)))) (/ eps (pow (cos x) 2)) (pow (cos x) 2) (+ (* (* x x) -1) 1) (* x x) -1 (- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (* (+ (+ (* (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) eps) (* x x)) 1) eps) (+ (+ (* (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) eps) (* x x)) 1) (+ (* (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) eps) (* x x)) (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) (+ (* (* 4/3 x) x) 1/3) (* 4/3 x) 4/3 1/3 (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (* (cos (+ eps x)) (cos x)) (cos (+ eps x)) (+ eps x) (cos x) (+ (* (* x x) -1/2) 1) -1/2)
8.0ms	eps	@	-inf	((/ (sin (- (+ eps x) x)) (* (sin (+ (+ x eps) (/ (PI) 2))) (cos x))) (sin (- (+ eps x) x)) (* (+ (* -1/6 (* eps eps)) 1) eps) (+ (* -1/6 (* eps eps)) 1) -1/6 (* eps eps) eps 1 (* (sin (+ (+ x eps) (/ (PI) 2))) (cos x)) (sin (+ (+ x eps) (/ (PI) 2))) (+ (+ x eps) (/ (PI) 2)) (+ x eps) x (/ (PI) 2) (PI) 2 (cos x) (- (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 x) 1) eps) (+ (* x x) 1) (- (tan (+ x eps)) (tan (+ x (PI)))) (/ eps (pow (cos x) 2)) (pow (cos x) 2) (+ (* (* x x) -1) 1) (* x x) -1 (- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (* (+ (+ (* (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) eps) (* x x)) 1) eps) (+ (+ (* (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) eps) (* x x)) 1) (+ (* (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) eps) (* x x)) (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) (+ (* (* 4/3 x) x) 1/3) (* 4/3 x) 4/3 1/3 (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (* (cos (+ eps x)) (cos x)) (cos (+ eps x)) (+ eps x) (cos x) (+ (* (* x x) -1/2) 1) -1/2)
6.0ms	x	@	-inf	((/ (sin (- (+ eps x) x)) (* (sin (+ (+ x eps) (/ (PI) 2))) (cos x))) (sin (- (+ eps x) x)) (* (+ (* -1/6 (* eps eps)) 1) eps) (+ (* -1/6 (* eps eps)) 1) -1/6 (* eps eps) eps 1 (* (sin (+ (+ x eps) (/ (PI) 2))) (cos x)) (sin (+ (+ x eps) (/ (PI) 2))) (+ (+ x eps) (/ (PI) 2)) (+ x eps) x (/ (PI) 2) (PI) 2 (cos x) (- (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 x) 1) eps) (+ (* x x) 1) (- (tan (+ x eps)) (tan (+ x (PI)))) (/ eps (pow (cos x) 2)) (pow (cos x) 2) (+ (* (* x x) -1) 1) (* x x) -1 (- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (* (+ (+ (* (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) eps) (* x x)) 1) eps) (+ (+ (* (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) eps) (* x x)) 1) (+ (* (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) eps) (* x x)) (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) (+ (* (* 4/3 x) x) 1/3) (* 4/3 x) 4/3 1/3 (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (* (cos (+ eps x)) (cos x)) (cos (+ eps x)) (+ eps x) (cos x) (+ (* (* x x) -1/2) 1) -1/2)
6.0ms	x	@	inf	((/ (sin (- (+ eps x) x)) (* (sin (+ (+ x eps) (/ (PI) 2))) (cos x))) (sin (- (+ eps x) x)) (* (+ (* -1/6 (* eps eps)) 1) eps) (+ (* -1/6 (* eps eps)) 1) -1/6 (* eps eps) eps 1 (* (sin (+ (+ x eps) (/ (PI) 2))) (cos x)) (sin (+ (+ x eps) (/ (PI) 2))) (+ (+ x eps) (/ (PI) 2)) (+ x eps) x (/ (PI) 2) (PI) 2 (cos x) (- (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 x) 1) eps) (+ (* x x) 1) (- (tan (+ x eps)) (tan (+ x (PI)))) (/ eps (pow (cos x) 2)) (pow (cos x) 2) (+ (* (* x x) -1) 1) (* x x) -1 (- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (* (+ (+ (* (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) eps) (* x x)) 1) eps) (+ (+ (* (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) eps) (* x x)) 1) (+ (* (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) eps) (* x x)) (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) (+ (* (* 4/3 x) x) 1/3) (* 4/3 x) 4/3 1/3 (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (* (cos (+ eps x)) (cos x)) (cos (+ eps x)) (+ eps x) (cos x) (+ (* (* x x) -1/2) 1) -1/2)

rewrite240.0ms (2.6%)

Memory

-5.2MiB live, 219.9MiB allocated; 96ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1075	7718
0	1117	6752
1	6980	6752
0	8197	6418

Stop Event

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

Counts

277 → 433

Calls

Call 1

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

Outputs
(/.f64 (/.f64 #s(approx (sin (- (+ eps x) x)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(/.f64 (neg.f64 #s(approx (sin (- (+ eps x) x)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))) (neg.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 #s(approx (sin (- (+ eps x) x)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
#s(approx (sin (- (+ eps x) x)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))
(.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)
(.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 eps) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/6 binary64)) eps))
(fma.f64 #s(literal 1 binary64) eps (.f64 (.f64 (*.f64 eps eps) #s(literal -1/6 binary64)) eps))
(fma.f64 eps #s(literal 1 binary64) (.f64 eps (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))))
(+.f64 (.f64 eps #s(literal 1 binary64)) (.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) eps) (.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps))
(/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 (*.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (.f64 (.f64 eps eps) #s(literal -1/6 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))))))
(fma.f64 (*.f64 #s(literal -1/6 binary64) eps) eps #s(literal 1 binary64))
(fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))
(+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64)))
#s(literal -1/6 binary64)
(*.f64 (pow.f64 eps #s(literal 1 binary64)) (pow.f64 eps #s(literal 1 binary64)))
(*.f64 (fabs.f64 eps) (fabs.f64 eps))
(*.f64 (neg.f64 eps) (neg.f64 eps))
(*.f64 eps eps)
(pow.f64 eps #s(literal 2 binary64))
(+.f64 (cosh.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))
eps
#s(literal 1 binary64)
(*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 x eps)) (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 x eps)) (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 x eps)))) (cos.f64 (+.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 x eps))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (+.f64 x eps)) (neg.f64 x))) (cos.f64 (-.f64 (neg.f64 (+.f64 x eps)) (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (+.f64 x eps)) x)) (cos.f64 (-.f64 (neg.f64 (+.f64 x eps)) x))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 x eps) (neg.f64 x))) (cos.f64 (-.f64 (+.f64 x eps) (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 x) (neg.f64 (+.f64 x eps)))) (cos.f64 (-.f64 (neg.f64 x) (neg.f64 (+.f64 x eps))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (fma.f64 #s(literal -1 binary64) x (+.f64 x eps))) (cos.f64 (-.f64 (neg.f64 x) (+.f64 x eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 x (neg.f64 (+.f64 x eps)))) (cos.f64 (-.f64 x (neg.f64 (+.f64 x eps))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 x eps)) x)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 x eps)) x))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 x eps) x)) (cos.f64 (-.f64 (+.f64 x eps) x))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 x (+.f64 x eps))) (cos.f64 (-.f64 x (+.f64 x eps)))) #s(literal 2 binary64))
(fma.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 x eps)))
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
(cos.f64 (neg.f64 (+.f64 x eps)))
(cos.f64 (+.f64 x eps))
(+.f64 (.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (+.f64 x eps) (+.f64 x eps)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (+.f64 x eps) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (+.f64 x eps) (+.f64 x eps) (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (+.f64 x eps) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 x eps))
(+.f64 (+.f64 x eps) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 x (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.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 x eps))))
(+.f64 x eps)
(+.f64 eps x)
x
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 x))
(cos.f64 x)
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos 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 (fma.f64 x x #s(literal 1 binary64)) eps))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) eps)
(*.f64 eps (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 eps) (.f64 (.f64 x x) eps))
(fma.f64 #s(literal 1 binary64) eps (.f64 (.f64 x x) eps))
(fma.f64 eps #s(literal 1 binary64) (.f64 (.f64 x x) eps))
(+.f64 (.f64 eps #s(literal 1 binary64)) (.f64 (*.f64 x x) eps))
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(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))))))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
#s(literal -1/2 binary64)
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 (sin.f64 eps) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps))))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (fma.f64 (.f64 x (/.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps)) (sin.f64 eps)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps)) #s(literal 2 binary64)))) #s(literal -1 binary64) (/.f64 (sin.f64 eps) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps)))))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (fma.f64 (-.f64 (.f64 (neg.f64 x) (fma.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps)) #s(literal 2 binary64)) (sin.f64 eps)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps)) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 (neg.f64 (sin.f64 eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps))))) (/.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps)) (sin.f64 eps)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps)) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps)))))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (fma.f64 (-.f64 (.f64 (-.f64 (.f64 (neg.f64 x) (fma.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps)) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps)) #s(literal 2 binary64)) (sin.f64 eps)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps)) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 (neg.f64 (sin.f64 eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps)))) #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps)) (sin.f64 eps) (.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps)) #s(literal -2/3 binary64)) (sin.f64 eps))) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps)) #s(literal 2 binary64))))) (fma.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps)) #s(literal 2 binary64)) (sin.f64 eps)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps)) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 (neg.f64 (sin.f64 eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps))))) x) (/.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps)) (sin.f64 eps)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps)) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps)))))
#s(approx (sin (- (+ eps x) x)) (sin.f64 eps))
#s(approx (* (cos (+ eps x)) (cos x)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps)))
#s(approx (* (cos (+ eps x)) (cos x)) (fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps)) x (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps))))
#s(approx (* (cos (+ eps x)) (cos x)) (fma.f64 (fma.f64 (neg.f64 x) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps))) x (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps))))
#s(approx (* (cos (+ eps x)) (cos x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps)) #s(literal -2/3 binary64)) x (neg.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps)))) x (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps))) x (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps))))
#s(approx (cos (+ eps x)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps)))
#s(approx (cos (+ eps x)) (fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps)) x (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps))))
#s(approx (cos (+ eps x)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps))) x (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps))))
#s(approx (cos (+ eps x)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) x) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps)) (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps)) #s(literal -1/2 binary64))) x (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps))) x (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps))))
#s(approx (+ (+ x eps) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps))
#s(approx (+ (+ x eps) (/ (PI) 2)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x) eps))
#s(approx (+ x eps) eps)
#s(approx (+ x eps) (+.f64 x eps))
#s(approx x x)
#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 (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (tan.f64 eps))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos 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 (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos 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 (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos 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 (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (tan.f64 eps))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (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 (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (fma.f64 (fma.f64 x (/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 eps)) (cos.f64 eps)) (/.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 (* (+ (* x x) 1) eps) eps)
#s(approx (* (+ (* x x) 1) eps) (fma.f64 (*.f64 x x) eps eps))
#s(approx (+ (* x x) 1) #s(literal 1 binary64))
#s(approx (+ (* x x) 1) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (-.f64 (tan.f64 eps) #s(literal 0 binary64)))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (fma.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) x (-.f64 (tan.f64 eps) #s(literal 0 binary64))))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (*.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 0 binary64)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) x (-.f64 (tan.f64 eps) #s(literal 0 binary64))))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (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)))))) x #s(literal 0 binary64)) (neg.f64 (*.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 0 binary64)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) x (-.f64 (tan.f64 eps) #s(literal 0 binary64))))
#s(approx (/ eps (pow (cos x) 2)) eps)
#s(approx (/ eps (pow (cos x) 2)) (fma.f64 (*.f64 x x) eps eps))
#s(approx (/ eps (pow (cos x) 2)) (fma.f64 (fma.f64 (.f64 x (neg.f64 x)) (.f64 eps #s(literal -2/3 binary64)) (.f64 #s(literal 1 binary64) eps)) (.f64 x x) eps))
#s(approx (/ eps (pow (cos x) 2)) (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 x (neg.f64 x)) (fma.f64 eps #s(literal 28/45 binary64) (neg.f64 eps))) (.f64 eps #s(literal -2/3 binary64))) (.f64 x x) (.f64 #s(literal 1 binary64) eps)) (.f64 x x) eps))
#s(approx (pow (cos x) 2) #s(literal 1 binary64))
#s(approx (pow (cos x) 2) (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))
#s(approx (pow (cos x) 2) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (pow (cos x) 2) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -2/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (* x x) -1) 1) #s(literal 1 binary64))
#s(approx (+ (* (* x x) -1) 1) (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (+ (+ (* (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) eps) (* x x)) 1) eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))
#s(approx (* (+ (+ (* (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) eps) (* x x)) 1) eps) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps (.f64 (*.f64 eps eps) x)))
#s(approx (* (+ (+ (* (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) eps) (* x x)) 1) eps) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) x) eps (.f64 eps eps)) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps)))
#s(approx (+ (+ (* (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) eps) (* x x)) 1) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)))
#s(approx (+ (+ (* (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) eps) (* x x)) 1) (+.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) (.f64 x eps)) #s(literal 1 binary64)))
#s(approx (+ (+ (* (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) eps) (* x x)) 1) (+.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) x eps) x (.f64 (*.f64 eps eps) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) eps) (* x x)) (.f64 (.f64 eps eps) #s(literal 1/3 binary64)))
#s(approx (+ (* (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) eps) (* x x)) (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) (.f64 x eps)))
#s(approx (+ (* (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) eps) (* x x)) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) x eps) x (.f64 (*.f64 eps eps) #s(literal 1/3 binary64))))
#s(approx (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) (*.f64 #s(literal 1/3 binary64) eps))
#s(approx (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) (fma.f64 #s(literal 1/3 binary64) eps x))
#s(approx (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) (fma.f64 (fma.f64 (.f64 x eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) x (.f64 #s(literal 1/3 binary64) eps)))
#s(approx (+ (* (* 4/3 x) x) 1/3) #s(literal 1/3 binary64))
#s(approx (+ (* (* 4/3 x) x) 1/3) (fma.f64 (*.f64 #s(literal 4/3 binary64) x) x #s(literal 1/3 binary64)))
#s(approx (* 4/3 x) (*.f64 #s(literal 4/3 binary64) x))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (tan.f64 eps))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos 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 (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (fma.f64 (.f64 #s(literal -1 binary64) (-.f64 (.f64 (fma.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) #s(literal -1 binary64) (neg.f64 (tan.f64 eps))) x) (/.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 (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 x) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal -1 binary64) (fma.f64 (sin.f64 eps) (/.f64 (fma.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) #s(literal -1 binary64) (neg.f64 (tan.f64 eps))) (cos.f64 eps)) (/.f64 (.f64 (.f64 (sin.f64 eps) #s(literal 2/3 binary64)) (sin.f64 eps)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (fma.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) #s(literal -1 binary64) (neg.f64 (tan.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 (* (cos (+ eps x)) (cos x)) (cos.f64 eps))
#s(approx (* (cos (+ eps x)) (cos x)) (fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps)))
#s(approx (* (cos (+ eps x)) (cos x)) (fma.f64 (fma.f64 (neg.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 eps))) x (cos.f64 eps)))
#s(approx (* (cos (+ eps x)) (cos x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 eps) #s(literal 2/3 binary64)) x (neg.f64 (cos.f64 eps))) x (neg.f64 (sin.f64 eps))) x (cos.f64 eps)))
#s(approx (cos (+ eps x)) (cos.f64 eps))
#s(approx (cos (+ eps x)) (fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps)))
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#s(approx (+ x eps) eps)
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#s(approx (+ (* (* x x) -1/2) 1) #s(literal 1 binary64))
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#s(approx (cos (+ eps x)) (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x) eps)))
#s(approx (+ (+ x eps) (/ (PI) 2)) x)
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#s(approx (+ x eps) x)
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#s(approx (cos x) (cos.f64 x))
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#s(approx (* (+ (* x x) 1) eps) (.f64 (.f64 x x) eps))
#s(approx (* (+ (* x x) 1) eps) (.f64 (+.f64 (/.f64 eps (.f64 x x)) eps) (*.f64 x x)))
#s(approx (+ (* x x) 1) (*.f64 x x))
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#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
#s(approx (/ eps (pow (cos x) 2)) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
#s(approx (pow (cos x) 2) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
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#s(approx (+ (+ (* (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) eps) (* x x)) 1) (.f64 (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (+ (* (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) eps) (* x x)) 1) (.f64 (+.f64 (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) (/.f64 eps x)) #s(literal 1 binary64)) (*.f64 x x)))
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#s(approx (+ (* (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) eps) (* x x)) (.f64 (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (* (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) eps) (* x x)) (.f64 (+.f64 (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) (/.f64 eps x)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (* (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) eps) (* x x)) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 eps eps) (.f64 x x)) #s(literal 1/3 binary64) (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) (/.f64 eps x))) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) (.f64 (.f64 (*.f64 x x) eps) #s(literal 4/3 binary64)))
#s(approx (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) (.f64 (fma.f64 #s(literal 4/3 binary64) eps (pow.f64 x #s(literal -1 binary64))) (.f64 x x)))
#s(approx (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) (.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/3 binary64) (fma.f64 #s(literal 4/3 binary64) eps (pow.f64 x #s(literal -1 binary64)))) (*.f64 x x)))
#s(approx (+ (* (* 4/3 x) x) 1/3) (.f64 (.f64 #s(literal 4/3 binary64) x) x))
#s(approx (+ (* (* 4/3 x) x) 1/3) (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 4/3 binary64)) (.f64 x x)))
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#s(approx (cos (+ eps x)) (cos.f64 (+.f64 x eps)))
#s(approx (+ x eps) x)
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#s(approx (+ (* (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
#s(approx (+ (* (* x x) -1/2) 1) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (.f64 x x)))
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#s(approx (* (cos (+ eps x)) (cos x)) (*.f64 (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps) (neg.f64 x))) (cos.f64 x)))
#s(approx (cos (+ eps x)) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps) (neg.f64 x))))
#s(approx (+ (+ x eps) (/ (PI) 2)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps) x)) #s(literal 1 binary64))))
#s(approx (+ x eps) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (-.f64 (tan.f64 (-.f64 eps (neg.f64 x))) (tan.f64 x)))
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#s(approx (* (+ (+ (* (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) eps) (* x x)) 1) eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) eps (neg.f64 (/.f64 (.f64 #s(literal -1 binary64) (fma.f64 eps (/.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) x) (.f64 eps eps))) x))) (.f64 x x)))
#s(approx (+ (+ (* (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) eps) (* x x)) 1) (.f64 (+.f64 (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) x) #s(literal -1 binary64) (neg.f64 eps)) x))) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (+ (* (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) eps) (* x x)) (.f64 (+.f64 (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (.f64 eps eps) x) (neg.f64 eps)) x))) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) (.f64 (fma.f64 #s(literal 4/3 binary64) eps (neg.f64 (/.f64 (-.f64 (.f64 #s(literal -1/3 binary64) (/.f64 eps x)) #s(literal 1 binary64)) x))) (*.f64 x x)))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (-.f64 eps (neg.f64 x)))))
#s(approx (* (cos (+ eps x)) (cos x)) (*.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)))
#s(approx (cos (+ eps x)) (cos.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 (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 (/.f64 eps (cos.f64 x)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (.f64 (fma.f64 (.f64 (/.f64 eps (cos.f64 x)) (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 2 binary64)))) #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))) eps))
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#s(approx (sin (- (+ eps x) x)) eps)
#s(approx (sin (- (+ eps x) x)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))
#s(approx (sin (- (+ eps x) x)) (.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 x) x)) (.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 (* (+ (* -1/6 (* eps eps)) 1) eps) eps)
#s(approx (* (+ (* -1/6 (* eps eps)) 1) eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))
#s(approx (+ (* -1/6 (* eps eps)) 1) #s(literal 1 binary64))
#s(approx (+ (* -1/6 (* eps eps)) 1) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (* eps eps) (*.f64 eps eps))
#s(approx eps eps)
#s(approx (* (cos (+ eps x)) (cos x)) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (cos.f64 x)))
#s(approx (* (cos (+ eps x)) (cos x)) (fma.f64 (.f64 (cos.f64 x) eps) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (cos.f64 x))))
#s(approx (* (cos (+ eps x)) (cos x)) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (cos.f64 x)) (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (cos.f64 x))) eps (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (cos.f64 x))))
#s(approx (* (cos (+ eps x)) (cos x)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) eps) (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (cos.f64 x)) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))) eps (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (cos.f64 x))) eps (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (cos.f64 x))))
#s(approx (cos (+ eps x)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))
#s(approx (cos (+ eps x)) (fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) eps (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))))
#s(approx (cos (+ eps x)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))) eps (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))))
#s(approx (cos (+ eps x)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) eps) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal -1/2 binary64))) eps (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))) eps (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))))
#s(approx (+ (+ x eps) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))
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#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 x x (.f64 x eps)) #s(literal 1 binary64)) eps))
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#s(approx (* (+ (* x x) 1) eps) (*.f64 (fma.f64 x x #s(literal 1 binary64)) eps))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (-.f64 (tan.f64 x) (tan.f64 x)))
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#s(approx (* (+ (+ (* (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) eps) (* x x)) 1) eps) (.f64 (+.f64 (fma.f64 x x (.f64 x eps)) #s(literal 1 binary64)) eps))
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#s(approx (+ (+ (* (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) eps) (* x x)) 1) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (+ (+ (* (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) eps) (* x x)) 1) (+.f64 (fma.f64 x x (*.f64 x eps)) #s(literal 1 binary64)))
#s(approx (+ (+ (* (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) eps) (* x x)) 1) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 4/3 binary64) x) x #s(literal 1/3 binary64)) eps x) eps (fma.f64 x x #s(literal 1 binary64))))
#s(approx (+ (* (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) eps) (* x x)) (*.f64 x x))
#s(approx (+ (* (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) eps) (* x x)) (fma.f64 x x (*.f64 x eps)))
#s(approx (+ (* (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) eps) (* x x)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) x) x #s(literal 1/3 binary64)) eps x) eps (.f64 x x)))
#s(approx (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) x)
#s(approx (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) (fma.f64 (fma.f64 (*.f64 #s(literal 4/3 binary64) x) x #s(literal 1/3 binary64)) eps x))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (*.f64 (fma.f64 eps (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) eps))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (.f64 (fma.f64 (-.f64 (.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1/6 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))))) eps) (neg.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) eps (pow.f64 (cos.f64 x) #s(literal -2 binary64))) eps))
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#s(approx (* (cos (+ eps x)) (cos x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
#s(approx (* (cos (+ eps x)) (cos x)) (fma.f64 (neg.f64 eps) (*.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
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#s(approx (cos (+ eps x)) (cos.f64 x))
#s(approx (cos (+ eps x)) (fma.f64 (neg.f64 eps) (sin.f64 x) (cos.f64 x)))
#s(approx (cos (+ eps x)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps (cos.f64 x)))
#s(approx (cos (+ eps x)) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps (cos.f64 x)))
#s(approx (* (+ (* -1/6 (* eps eps)) 1) eps) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/6 binary64)))
#s(approx (* (+ (* -1/6 (* eps eps)) 1) eps) (*.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (+ (* -1/6 (* eps eps)) 1) (.f64 (.f64 eps eps) #s(literal -1/6 binary64)))
#s(approx (+ (* -1/6 (* eps eps)) 1) (.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/6 binary64)) (.f64 eps eps)))
#s(approx (+ (+ x eps) (/ (PI) 2)) eps)
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#s(approx (+ x eps) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps))
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#s(approx (+ (+ (* (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) eps) (* x x)) 1) (.f64 (+.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) x) x (/.f64 x eps)) #s(literal 1/3 binary64)) (*.f64 eps eps)))
#s(approx (+ (+ (* (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) eps) (* x x)) 1) (.f64 (+.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) x) x #s(literal 1/3 binary64)) (+.f64 (+.f64 (/.f64 (.f64 x x) (.f64 eps eps)) (/.f64 x eps)) (pow.f64 eps #s(literal -2 binary64)))) (*.f64 eps eps)))
#s(approx (+ (* (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) eps) (* x x)) (.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) x) x #s(literal 1/3 binary64)) (*.f64 eps eps)))
#s(approx (+ (* (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) eps) (* x x)) (.f64 (+.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) x) x (/.f64 x eps)) #s(literal 1/3 binary64)) (*.f64 eps eps)))
#s(approx (+ (* (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) eps) (* x x)) (.f64 (+.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) x) x #s(literal 1/3 binary64)) (+.f64 (/.f64 (.f64 x x) (.f64 eps eps)) (/.f64 x eps))) (*.f64 eps eps)))
#s(approx (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) (.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) x) x #s(literal 1/3 binary64)) eps))
#s(approx (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) (.f64 (+.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) x) x (/.f64 x eps)) #s(literal 1/3 binary64)) eps))
#s(approx (+ x eps) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1 binary64) eps)) (cos.f64 x)) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x) (neg.f64 eps)))))
#s(approx (sin (- (+ eps x) x)) (sin.f64 (*.f64 #s(literal 1 binary64) eps)))
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#s(approx (* (cos (+ eps x)) (cos x)) (*.f64 (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x) (neg.f64 eps))) (cos.f64 x)))
#s(approx (cos (+ eps x)) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x) (neg.f64 eps))))
#s(approx (+ (+ x eps) (/ (PI) 2)) (*.f64 (neg.f64 eps) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x) eps)) #s(literal 1 binary64))))
#s(approx (+ x eps) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (-.f64 (tan.f64 (-.f64 x (neg.f64 eps))) (tan.f64 x)))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (-.f64 (tan.f64 (-.f64 x (neg.f64 eps))) (tan.f64 x)))
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#s(approx (+ (* (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) eps) (* x x)) (.f64 (+.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) x) x (neg.f64 (/.f64 (.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (.f64 x x) eps))) eps))) #s(literal 1/3 binary64)) (*.f64 eps eps)))
#s(approx (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) (.f64 (neg.f64 eps) (.f64 #s(literal -1 binary64) (+.f64 (fma.f64 (*.f64 #s(literal 4/3 binary64) x) x (/.f64 x eps)) #s(literal 1/3 binary64)))))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1 binary64) eps)) (cos.f64 x)) (cos.f64 (-.f64 x (neg.f64 eps)))))
#s(approx (* (cos (+ eps x)) (cos x)) (*.f64 (cos.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)))
#s(approx (cos (+ eps x)) (cos.f64 (-.f64 x (neg.f64 eps))))
#s(approx (+ x eps) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))

eval85.0ms (0.9%)

Memory: 8.0MiB live, 114.4MiB allocated; 50ms collecting garbage
Compiler: Compiled 23 104 to 2 386 computations (89.7% saved)

prune31.0ms (0.3%)

Memory

8.2MiB live, 55.0MiB allocated; 4ms collecting garbage

Pruning

22 alts after pruning (17 fresh and 5 done)

	Pruned	Kept	Total
New	509	8	517
Fresh	4	9	13
Picked	3	2	5
Done	0	3	3
Total	516	22	538

Accuracy

100.0%

Counts

538 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(/.f64 #s(approx (sin (- (+ eps x) x)) (fma.f64 eps #s(literal 1 binary64) (.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64))))) (.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
✓	100.0%	(/.f64 #s(approx (sin (- (+ eps x) x)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	99.5%	(/.f64 #s(approx (sin (- (+ eps x) x)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)) (.f64 (cos.f64 (+.f64 eps x)) #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)))))
✓	99.2%	(/.f64 #s(approx (sin (- (+ eps x) x)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)) (.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
	99.9%	(/.f64 #s(approx (sin (- (+ eps x) x)) #s(approx (* (+ (* -1/6 (* eps eps)) 1) eps) eps)) (*.f64 (sin.f64 (+.f64 (+.f64 x eps) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 x)))
	99.9%	(/.f64 #s(approx (sin (- (+ eps x) x)) #s(approx (* (+ (* -1/6 (* eps eps)) 1) eps) eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	99.2%	(/.f64 #s(approx (sin (- (+ eps x) x)) #s(approx (* (+ (* -1/6 (* eps eps)) 1) eps) eps)) (.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
✓	62.5%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	99.0%	#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 eps #s(approx (pow (cos x) 2) (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))))
	99.6%	#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) (/.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))))
	99.3%	#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) (/.f64 eps #s(approx (pow (cos x) 2) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -2/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))))
	99.3%	#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) (/.f64 eps #s(approx (pow (cos x) 2) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
	99.2%	#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(approx (/ eps (pow (cos x) 2)) (fma.f64 (fma.f64 (.f64 x (neg.f64 x)) (.f64 eps #s(literal -2/3 binary64)) (.f64 #s(literal 1 binary64) eps)) (.f64 x x) eps)))
	99.0%	#s(approx (- (tan (+ x eps)) (tan (+ x (PI)))) #s(approx (/ eps (pow (cos x) 2)) (fma.f64 (*.f64 x x) eps eps)))
	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(approx (+ ( (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
	98.3%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(approx (+ (+ (* (* eps eps) 1/3) (* eps x)) 1) (fma.f64 x eps #s(literal 1 binary64)))) eps))
✓	99.0%	#s(approx (- (tan (+ x eps)) (tan 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)))
	99.1%	#s(approx (- (tan (+ x eps)) (tan x)) #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 #s(approx (+ ( (* 4/3 x) x) 1/3) #s(literal 1/3 binary64)) eps x) eps (*.f64 x x)) #s(literal 1 binary64)) eps)))
	99.1%	#s(approx (- (tan (+ x eps)) (tan x)) #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 #s(approx (+ ( (+ (* (* 4/3 x) x) 1/3) eps) x) x) eps (*.f64 x x)) #s(literal 1 binary64)) eps)))
	98.3%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (.f64 (+.f64 #s(approx (+ ( (+ (* (+ (* (* 4/3 x) x) 1/3) eps) x) eps) (* x x)) (.f64 (+.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) x) x (/.f64 x eps)) #s(literal 1/3 binary64)) (*.f64 eps eps))) #s(literal 1 binary64)) eps)))
	98.3%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (+ (* (neg eps) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 (.f64 #s(approx (+ ( 4/3 (* eps eps)) 1) (.f64 (.f64 eps eps) #s(literal 4/3 binary64))) x) eps (.f64 eps eps)) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))))
✓	98.3%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) eps))

Compiler

Compiled 2 840 to 896 computations (68.5% saved)

regimes38.0ms (0.4%)

Memory

1.4MiB live, 46.5MiB allocated; 6ms collecting garbage

Counts

44 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

15.0ms	x
10.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
10.0ms	eps

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes64.0ms (0.7%)

Memory

-23.7MiB live, 39.8MiB allocated; 67ms collecting garbage

Counts

38 → 1

Calls

Call 1

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

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

Calls

3 calls:

45.0ms	x
9.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
9.0ms	eps

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes34.0ms (0.4%)

Memory

-9.7MiB live, 37.1MiB allocated; 9ms collecting garbage

Counts

37 → 1

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
9.0ms	x
9.0ms	eps

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes27.0ms (0.3%)

Memory

36.8MiB live, 36.8MiB allocated; 0ms collecting garbage

Counts

36 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes30.0ms (0.3%)

Memory

-11.1MiB live, 34.3MiB allocated; 7ms collecting garbage

Counts

33 → 1

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	eps
8.0ms	x
8.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 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)

regimes24.0ms (0.3%)

Memory

-19.8MiB live, 25.7MiB allocated; 6ms collecting garbage

Counts

23 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

11.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
6.0ms	eps
6.0ms	x

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes13.0ms (0.1%)

Memory

20.0MiB live, 20.0MiB allocated; 0ms collecting garbage

Counts

16 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
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)

regimes11.0ms (0.1%)

Memory

18.6MiB live, 18.6MiB allocated; 0ms collecting garbage

Counts

13 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

4.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
3.0ms	eps
3.0ms	x

Results

Accuracy	Segments	Branch
99.2%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
99.2%	1	`x`
99.2%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes18.0ms (0.2%)

Memory

-37.6MiB live, 16.8MiB allocated; 8ms collecting garbage

Counts

11 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

11.0ms	eps
3.0ms	x
3.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes9.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated; 0ms collecting garbage

Counts

10 → 1

Calls

Call 1

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

Outputs

#s(approx (- (tan (+ x eps)) (tan x)) #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 #s(approx (+ (* (* 4/3 x) x) 1/3) #s(literal 1/3 binary64)) eps x) eps (*.f64 x x)) #s(literal 1 binary64)) eps)))

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes9.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated; 0ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes11.0ms (0.1%)

Memory

-36.8MiB live, 9.1MiB allocated; 6ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
2.0ms	x
2.0ms	eps

Results

Accuracy	Segments	Branch
99.0%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
99.0%	1	`x`
99.0%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes5.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.0%	1	`x`
99.0%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
99.0%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes3.0ms (0%)

Memory

7.0MiB live, 7.0MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify55.0ms (0.6%)

Memory

5.1MiB live, 50.1MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	150	482
1	265	472
2	673	448
3	2656	441

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations476.0ms (5.1%)

Memory

18.7MiB live, 306.3MiB allocated; 70ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 486 to 150 computations (69.1% saved)

preprocess95.0ms (1%)

Memory: 5.0MiB live, 94.4MiB allocated; 20ms collecting garbage
Compiler: Compiled 1 004 to 324 computations (67.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze42.0ms (0.5%)

sample5.8s (63.1%)

explain122.0ms (1.3%)

preprocess192.0ms (2.1%)

eval0.0ms (0%)

prune0.0ms (0%)

series12.0ms (0.1%)

rewrite181.0ms (2%)

eval17.0ms (0.2%)

prune7.0ms (0.1%)

series112.0ms (1.2%)

rewrite197.0ms (2.1%)

eval120.0ms (1.3%)

prune22.0ms (0.2%)

series61.0ms (0.7%)

rewrite866.0ms (9.4%)

eval94.0ms (1%)

prune26.0ms (0.3%)

series62.0ms (0.7%)

rewrite240.0ms (2.6%)

eval85.0ms (0.9%)

prune31.0ms (0.3%)

regimes38.0ms (0.4%)

regimes64.0ms (0.7%)

regimes34.0ms (0.4%)

regimes27.0ms (0.3%)

regimes30.0ms (0.3%)

regimes24.0ms (0.3%)

regimes13.0ms (0.1%)

regimes11.0ms (0.1%)

regimes18.0ms (0.2%)

regimes9.0ms (0.1%)

regimes9.0ms (0.1%)

regimes11.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

simplify55.0ms (0.6%)

derivations476.0ms (5.1%)

preprocess95.0ms (1%)

end0.0ms (0%)

Profiling