Metrics for 2tan (problem 3.3.2)

start0.0ms (0%)

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

analyze44.0ms (0.4%)

Memory

22.5MiB live, 64.2MiB allocated; 14ms 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)

sample6.9s (59.7%)

Memory

119.8MiB live, 7 803.5MiB allocated; 2.4s collecting garbage

Samples

3.3s	26 603×	0	invalid
972.0ms	5 113×	1	valid
888.0ms	3 143×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.7s

ival-tan: 726.0ms (19.4% of total)

const: 722.0ms (19.3% of total)

ival-mult: 688.0ms (18.4% of total)

adjust: 302.0ms (8.1% of total)

ival-add: 300.0ms (8% of total)

ival-fabs: 222.0ms (5.9% of total)

ival-sub: 220.0ms (5.9% of total)

ival-<=: 219.0ms (5.8% of total)

ival-<: 184.0ms (4.9% of total)

ival-and: 108.0ms (2.9% of total)

exact: 44.0ms (1.2% of total)

ival-assert: 14.0ms (0.4% of total)

Bogosity

explain179.0ms (1.6%)

Memory

27.7MiB live, 145.8MiB allocated; 35ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
223	1	(1.55153420756723e-8 4.525262461155059e-11)	7	(-1.4540307644014702e-47 2.2773259046051242e-49)	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
2	0	-	1	(4.639250864928103 4.8340485762189026e-14)	`(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	217	11
`tan.f64`	`(tan.f64 (+.f64 x eps))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	216	7
-	1	32

Precision

0.9953917050691244

Recall

0.968609865470852

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	216	7	0
-	1	4	28

Precision?

0.9780701754385965

Recall?

1.0

Freqs

test

number	freq
0	39
1	216
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

42.0ms	274×	1	valid
11.0ms	238×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

adjust: 20.0ms (52.6% of total)

ival-tan: 10.0ms (26.3% of total)

ival-add: 4.0ms (10.5% of total)

ival-sub: 3.0ms (7.9% of total)

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

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

preprocess255.0ms (2.2%)

Memory

-31.8MiB live, 180.1MiB allocated; 58ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	43
1	35	43
2	62	43
3	109	43
4	184	43
5	328	43
6	664	43
7	1518	43
8	2905	43
9	4357	43
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

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.6%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Compiler

Compiled 7 to 6 computations (14.3% saved)

series12.0ms (0.1%)

Memory

19.0MiB live, 19.0MiB 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	eps	@	0	((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) x eps (tan x))
2.0ms	x	@	-inf	((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) x eps (tan x))
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))

simplify174.0ms (1.5%)

Memory

-16.4MiB live, 172.1MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	197	1173
1	536	1113
2	1941	1052
0	8314	1000

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

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

rewrite238.0ms (2.1%)

Memory

-9.4MiB live, 179.8MiB allocated; 56ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	53	18
2	440	18
3	6630	18
0	8617	18

Stop Event

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

Counts

6 → 160

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
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)))) (fma.f64 (tan.f64 x) (-.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (sin.f64 x) (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
(.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 (+.f64 (+.f64 eps x) x))) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.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 (-.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 4 binary64)) (pow.f64 (.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (*.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x))))
(.f64 (/.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 (.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x)) (-.f64 (.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64))) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 4 binary64))))
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(fma.f64 (/.f64 (.f64 x x) (.f64 (-.f64 x eps) (+.f64 eps x))) (+.f64 eps x) (/.f64 (*.f64 (neg.f64 eps) eps) (-.f64 x eps)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 eps x) eps) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.f64 (-.f64 eps x) eps)) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (.f64 x x))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 eps x) eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 eps x) eps) (-.f64 (.f64 (-.f64 eps x) eps) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))
(fma.f64 (pow.f64 eps #s(literal 3/2 binary64)) (/.f64 (pow.f64 eps #s(literal 3/2 binary64)) (fma.f64 (-.f64 eps x) eps (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (-.f64 eps x) eps (.f64 x x))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (.f64 x x))))
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (-.f64 x eps)) (/.f64 (*.f64 (neg.f64 eps) eps) (-.f64 x eps)))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (-.f64 x eps)) (/.f64 (*.f64 (neg.f64 eps) eps) (-.f64 x eps)))
(fma.f64 (.f64 eps eps) (/.f64 eps (fma.f64 (-.f64 eps x) eps (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))
(fma.f64 (.f64 x x) (/.f64 x (fma.f64 (-.f64 eps x) eps (.f64 x x))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))
(fma.f64 eps (/.f64 (.f64 eps eps) (fma.f64 (-.f64 eps x) eps (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))
(fma.f64 x (/.f64 x (-.f64 x eps)) (/.f64 (*.f64 (neg.f64 eps) eps) (-.f64 x eps)))
(fma.f64 x (/.f64 (.f64 x x) (fma.f64 (-.f64 eps x) eps (.f64 x x))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))
(-.f64 (/.f64 (.f64 eps eps) (-.f64 eps x)) (/.f64 (.f64 x x) (-.f64 eps x)))
(-.f64 (.f64 x (/.f64 x (-.f64 x eps))) (.f64 eps (/.f64 eps (-.f64 x eps))))
(+.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (.f64 x x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (.f64 x x))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (.f64 x x))))
(+.f64 (.f64 x (/.f64 x (-.f64 x eps))) (/.f64 (.f64 (neg.f64 eps) eps) (-.f64 x eps)))
(+.f64 eps x)
(+.f64 x eps)
x
eps
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (tan.f64 x))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) (cos.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
(/.f64 (+.f64 #s(literal 0 binary64) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(neg.f64 (neg.f64 (tan.f64 x)))
(tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))
(tan.f64 (+.f64 (PI.f64) x))
(tan.f64 x)
(+.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 x)))) (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 x)))))

eval59.0ms (0.5%)

Memory: -0.6MiB live, 44.6MiB allocated; 6ms collecting garbage
Compiler: Compiled 6 036 to 864 computations (85.7% saved)

prune13.0ms (0.1%)

Memory

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

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	178	16	194
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	178	17	195

Accuracy

100.0%

Counts

195 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.7%	(fma.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 2 binary64)))) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal 1 binary64)) (-.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x)))
	64.8%	(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 x)))) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (tan.f64 x)))) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x)))))
	64.7%	(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (sin.f64 x))) (*.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
	64.6%	(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	64.7%	(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x))
	64.7%	(-.f64 (+.f64 (/.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)))) (tan.f64 x))
	6.8%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))))
	6.8%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
	6.8%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
✓	64.6%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶	63.7%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) x))
	5.2%	(-.f64 (tan.f64 #s(approx (+ x eps) x)) (tan.f64 x))
	7.5%	(-.f64 (tan.f64 #s(approx (+ x eps) eps)) (tan.f64 x))
▶	99.8%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) #s(literal -1/6 binary64)) eps) eps (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x))) eps eps))
▶	99.7%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x)) eps eps))
▶	99.4%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps))
▶	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))

Compiler

Compiled 745 to 410 computations (45% saved)

series89.0ms (0.8%)

Memory

-24.8MiB live, 128.4MiB allocated; 30ms collecting garbage

Counts

41 → 197

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) #s(literal -1/6 binary64)) eps) eps (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x))) eps eps))
(fma.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) #s(literal -1/6 binary64)) eps) eps (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x))) eps eps)
(fma.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) #s(literal -1/6 binary64)) eps) eps (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x)))
(.f64 (fma.f64 (fma.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) #s(literal -1/6 binary64)) eps)
(fma.f64 (fma.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) #s(literal -1/6 binary64))
(fma.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(sin.f64 x)
x
(/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(cos.f64 x)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal -1/2 binary64)
(/.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(fma.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
#s(literal -1 binary64)
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal -1/6 binary64)
eps
(/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x))
(fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps)
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) x))
(tan.f64 (+.f64 x eps))
(+.f64 x eps)
#s(approx (tan x) x)
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(sin.f64 eps)
(cos.f64 eps)
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x)) eps eps))
(fma.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x)) eps 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 (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) #s(hole binary64 (+ eps (* 1/3 (pow eps 3)))))
#s(approx (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) #s(hole binary64 (+ eps (+ (* 1/3 (pow eps 3)) (* (pow eps 2) x)))))
#s(approx (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) #s(hole binary64 (+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (pow eps 2)))))))
#s(approx (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) #s(hole binary64 (+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* x (+ (* eps (* x (- (+ eps (* -1/6 eps)) (* -1/2 eps)))) (* eps (+ 1 (* 4/3 (pow eps 2)))))) (pow eps 2)))))))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) #s(hole binary64 (* 1/3 (pow eps 2))))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* eps x))))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2)))))))))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (+ (* 4/3 (pow eps 2)) (* x (- (+ eps (* -1/6 eps)) (* -1/2 eps)))))))))))
#s(approx (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) #s(hole binary64 (* 1/3 eps)))
#s(approx (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) #s(hole binary64 (+ (* 1/3 eps) (* 4/3 (* eps (pow x 2))))))
#s(approx (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) #s(hole binary64 (+ (* 1/3 eps) (* (pow x 2) (+ (* 4/3 eps) (* 17/9 (* eps (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) #s(hole binary64 (+ (* 1/3 eps) (* (pow x 2) (+ (* 4/3 eps) (* (pow x 2) (+ (* 248/135 (* eps (pow x 2))) (* 17/9 eps))))))))
#s(approx (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) #s(hole binary64 1/3))
#s(approx (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) #s(hole binary64 (+ 1/3 (* 4/3 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 4/3 (* 17/9 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/9 (* 248/135 (pow x 2)))))))))
#s(approx (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) #s(hole binary64 -1/2))
#s(approx (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) #s(hole binary64 (- (* -4/3 (pow x 2)) 1/2)))
#s(approx (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) #s(hole binary64 (- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/2)))
#s(approx (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/2)))
#s(approx (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) #s(hole binary64 1))
#s(approx (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (sin x) (pow (cos x) 2)) #s(hole binary64 x))
#s(approx (/ (sin x) (pow (cos x) 2)) #s(hole binary64 (* x (+ 1 (* 5/6 (pow x 2))))))
#s(approx (/ (sin x) (pow (cos x) 2)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2))))))))
#s(approx (/ (sin x) (pow (cos x) 2)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 5/6 (* (pow x 2) (+ 61/120 (* 277/1008 (pow x 2))))))))))
#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 (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2)) #s(hole binary64 (* -5/6 (pow x 2))))
#s(approx (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2)) #s(hole binary64 (* (pow x 2) (- (* -14/9 (pow x 2)) 5/6))))
#s(approx (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -89/54 (pow x 2)) 14/9)) 5/6))))
#s(approx (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1289/945 (pow x 2)) 89/54)) 14/9)) 5/6))))
#s(approx (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) #s(hole binary64 (* -5/6 (pow x 2))))
#s(approx (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) #s(hole binary64 (* (pow x 2) (- (* -13/18 (pow x 2)) 5/6))))
#s(approx (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -10/27 (pow x 2)) 13/18)) 5/6))))
#s(approx (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -373/1890 (pow x 2)) 10/27)) 13/18)) 5/6))))
#s(approx (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) #s(hole binary64 -1))
#s(approx (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) #s(hole binary64 (- (* -1 (pow x 2)) 1)))
#s(approx (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) #s(hole binary64 (- (* (pow x 2) (- (* -2/3 (pow x 2)) 1)) 1)))
#s(approx (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)) 1)))
#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 (/ -1 (pow (cos x) 2)) #s(hole binary64 -1))
#s(approx (/ -1 (pow (cos x) 2)) #s(hole binary64 (- (* -1 (pow x 2)) 1)))
#s(approx (/ -1 (pow (cos x) 2)) #s(hole binary64 (- (* (pow x 2) (- (* -2/3 (pow x 2)) 1)) 1)))
#s(approx (/ -1 (pow (cos x) 2)) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)) 1)))
#s(approx (* (pow (sin x) 2) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (pow (sin x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -1/18 (pow x 2))))))
#s(approx (* (pow (sin x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/135 (pow x 2)) 1/18))))))
#s(approx (* (pow (sin x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/135 (* -1/1890 (pow x 2)))) 1/18))))))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) #s(hole binary64 (* eps x)))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) #s(hole binary64 (* x (+ eps x))))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) #s(hole binary64 (* x (+ eps (* x (+ 1 (* x (- (+ eps (* -1/6 eps)) (* -1/2 eps)))))))))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) #s(hole binary64 (* x (+ eps (* x (+ 1 (* x (- (+ eps (+ (* -1/6 eps) (* 2/3 x))) (* -1/2 eps)))))))))
#s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) #s(hole binary64 (* eps x)))
#s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) #s(hole binary64 (* x (+ eps x))))
#s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) #s(hole binary64 (* x (+ eps (* x (+ 1 (* x (+ eps (* -1/6 eps)))))))))
#s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) #s(hole binary64 (* x (+ eps (* x (+ 1 (* x (+ eps (+ (* -1/6 eps) (* 1/6 x))))))))))
#s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) #s(hole binary64 eps))
#s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) #s(hole binary64 (+ eps (* eps (pow x 2)))))
#s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (* -1/3 eps) (* -1 eps))))))))
#s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (+ (* -1/3 eps) (* (pow x 2) (- (* 2/45 eps) (+ (* -1 (- (* -1/3 eps) (* -1 eps))) (* 1/3 eps))))) (* -1 eps))))))))
#s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) #s(hole binary64 (pow x 2)))
#s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (/ (pow (sin x) 2) (pow (cos 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 (/ (pow (sin x) 2) (cos x)) #s(hole binary64 (pow x 2)))
#s(approx (/ (pow (sin x) 2) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (pow (sin x) 2) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* 31/360 (pow x 2))))))))
#s(approx (/ (pow (sin x) 2) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 31/360 (* 173/5040 (pow x 2))))))))))
#s(approx (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) #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 (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 eps))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 (+ eps (* (pow eps 2) x))))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 (+ eps (* x (+ (* eps x) (pow eps 2))))))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 (+ eps (* x (+ (* x (+ eps (* x (- (* eps (+ eps (* -1/6 eps))) (* -1/2 (pow eps 2)))))) (pow eps 2))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
#s(approx (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) #s(hole binary64 (+ eps (* eps (+ (* (pow eps 2) (- (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) 1/6)) (+ (/ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))))))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) #s(hole binary64 (+ (* (pow eps 2) (- (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) 1/6)) (+ (/ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) #s(hole binary64 (* eps (- (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) 1/6))))
#s(approx (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) #s(hole binary64 (- (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) 1/6)))
#s(approx (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) #s(hole binary64 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))))
#s(approx (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (/ (sin x) (pow (cos x) 2)) #s(hole binary64 (/ (sin x) (pow (cos x) 2))))
#s(approx (pow (cos x) 2) #s(hole binary64 (pow (cos x) 2)))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2)) #s(hole binary64 (/ (+ (* 1/6 (pow (sin x) 2)) (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (pow (cos x) 2))))
#s(approx (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) #s(hole binary64 (+ (* 1/6 (pow (sin x) 2)) (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))))
#s(approx (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) #s(hole binary64 (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
#s(approx (pow (sin x) 2) #s(hole binary64 (pow (sin x) 2)))
#s(approx (/ -1 (pow (cos x) 2)) #s(hole binary64 (/ -1 (pow (cos x) 2))))
#s(approx (* (pow (sin x) 2) 1/6) #s(hole binary64 (* 1/6 (pow (sin x) 2))))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) #s(hole binary64 (/ (+ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (/ (pow (sin x) 2) (cos x))) (cos x))))
#s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) #s(hole binary64 (+ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (/ (pow (sin x) 2) (cos x)))))
#s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) #s(hole binary64 (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))))
#s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (/ (pow (sin x) 2) (cos x)) #s(hole binary64 (/ (pow (sin x) 2) (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 (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 (+ eps (/ (* eps (+ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (/ (pow (sin x) 2) (cos 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 (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) 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 (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) #s(hole binary64 (* eps (+ 1 (+ (* eps (+ (* eps (- (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) 1/6)) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) #s(hole binary64 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) #s(hole binary64 (+ (* eps (+ (* eps (- (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) 1/6)) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx eps #s(hole binary64 eps))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) #s(hole binary64 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) #s(hole binary64 (/ (pow (sin x) 2) (cos x))))
#s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) #s(hole binary64 (+ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (pow (sin x) 2) (cos x)))))
#s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) #s(hole binary64 (* eps (+ 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 (/ (sin eps) (cos eps)) #s(hole binary64 eps))
#s(approx (/ (sin eps) (cos eps)) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (/ (sin eps) (cos eps)) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))))
#s(approx (/ (sin eps) (cos eps)) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))))
#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 (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 (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) 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 (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) #s(hole binary64 (* (pow eps 3) (- (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) 1/6))))
#s(approx (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) #s(hole binary64 (* (pow eps 3) (- (+ (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x)))) 1/6))))
#s(approx (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) #s(hole binary64 (* (pow eps 3) (- (+ (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (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)))))) 1/6))))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) #s(hole binary64 (* (pow eps 2) (- (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) 1/6))))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x)))) 1/6))))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 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))))) 1/6))))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) #s(hole binary64 (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) #s(hole binary64 (* eps (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
#s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) #s(hole binary64 (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) #s(hole binary64 (* eps (+ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (pow (sin x) 2) (* eps (cos x)))))))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (/ (sin eps) (cos eps)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (cos eps) #s(hole binary64 (cos eps)))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 (/ (* (pow eps 2) (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 (* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))))
#s(approx (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (- (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) 1/6)) (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (* eps (cos x))))))))
#s(approx (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (- (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) 1/6)) (* -1 (/ (+ (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x))) (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps))) eps)))))))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (* eps (cos x))))) 1/6))))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) (* -1 (/ (+ (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x))) eps))) 1/6))))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) #s(hole binary64 (* -1 (/ (* eps (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x)))))))
#s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) #s(hole binary64 (* -1 (* eps (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))))))
#s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (pow (sin x) 2) (* eps (cos x)))) (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))))))
#s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))))
#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 (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 (* -1 (/ (* (pow eps 2) (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x))) (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps))))))

Calls

6 calls:

Time	Variable		Point	Expression
21.0ms	eps	@	0	((- (tan (+ x eps)) (tan x)) (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) (sin x) x (/ (sin x) (pow (cos x) 2)) (pow (cos x) 2) (cos x) 2 1 -1/2 (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2)) (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2) (/ -1 (pow (cos x) 2)) -1 (* (pow (sin x) 2) 1/6) 1/6 -1/6 eps (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (cos x)) (- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (sin eps) (cos eps) (- (tan (+ x eps)) (tan x)) (- (tan (+ x eps)) (tan x)) (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps))
15.0ms	x	@	inf	((- (tan (+ x eps)) (tan x)) (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) (sin x) x (/ (sin x) (pow (cos x) 2)) (pow (cos x) 2) (cos x) 2 1 -1/2 (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2)) (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2) (/ -1 (pow (cos x) 2)) -1 (* (pow (sin x) 2) 1/6) 1/6 -1/6 eps (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (cos x)) (- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (sin eps) (cos eps) (- (tan (+ x eps)) (tan x)) (- (tan (+ x eps)) (tan x)) (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps))
13.0ms	eps	@	-inf	((- (tan (+ x eps)) (tan x)) (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) (sin x) x (/ (sin x) (pow (cos x) 2)) (pow (cos x) 2) (cos x) 2 1 -1/2 (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2)) (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2) (/ -1 (pow (cos x) 2)) -1 (* (pow (sin x) 2) 1/6) 1/6 -1/6 eps (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (cos x)) (- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (sin eps) (cos eps) (- (tan (+ x eps)) (tan x)) (- (tan (+ x eps)) (tan x)) (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps))
12.0ms	x	@	-inf	((- (tan (+ x eps)) (tan x)) (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) (sin x) x (/ (sin x) (pow (cos x) 2)) (pow (cos x) 2) (cos x) 2 1 -1/2 (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2)) (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2) (/ -1 (pow (cos x) 2)) -1 (* (pow (sin x) 2) 1/6) 1/6 -1/6 eps (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (cos x)) (- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (sin eps) (cos eps) (- (tan (+ x eps)) (tan x)) (- (tan (+ x eps)) (tan x)) (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps))
8.0ms	x	@	0	((- (tan (+ x eps)) (tan x)) (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) (sin x) x (/ (sin x) (pow (cos x) 2)) (pow (cos x) 2) (cos x) 2 1 -1/2 (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2)) (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2) (/ -1 (pow (cos x) 2)) -1 (* (pow (sin x) 2) 1/6) 1/6 -1/6 eps (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (cos x)) (- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (sin eps) (cos eps) (- (tan (+ x eps)) (tan x)) (- (tan (+ x eps)) (tan x)) (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps))

simplify172.0ms (1.5%)

Memory

9.4MiB live, 198.6MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	877	9029
1	2471	8523
0	8939	8025

Stop Event

1×	iter limit
1×	node limit

Counts

197 → 197

Calls

Call 1

Inputs
#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 (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) #s(hole binary64 (+ eps (* 1/3 (pow eps 3)))))
#s(approx (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) #s(hole binary64 (+ eps (+ (* 1/3 (pow eps 3)) (* (pow eps 2) x)))))
#s(approx (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) #s(hole binary64 (+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (pow eps 2)))))))
#s(approx (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) #s(hole binary64 (+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* x (+ (* eps (* x (- (+ eps (* -1/6 eps)) (* -1/2 eps)))) (* eps (+ 1 (* 4/3 (pow eps 2)))))) (pow eps 2)))))))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) #s(hole binary64 (* 1/3 (pow eps 2))))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* eps x))))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2)))))))))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (+ (* 4/3 (pow eps 2)) (* x (- (+ eps (* -1/6 eps)) (* -1/2 eps)))))))))))
#s(approx (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) #s(hole binary64 (* 1/3 eps)))
#s(approx (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) #s(hole binary64 (+ (* 1/3 eps) (* 4/3 (* eps (pow x 2))))))
#s(approx (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) #s(hole binary64 (+ (* 1/3 eps) (* (pow x 2) (+ (* 4/3 eps) (* 17/9 (* eps (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) #s(hole binary64 (+ (* 1/3 eps) (* (pow x 2) (+ (* 4/3 eps) (* (pow x 2) (+ (* 248/135 (* eps (pow x 2))) (* 17/9 eps))))))))
#s(approx (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) #s(hole binary64 1/3))
#s(approx (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) #s(hole binary64 (+ 1/3 (* 4/3 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 4/3 (* 17/9 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/9 (* 248/135 (pow x 2)))))))))
#s(approx (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) #s(hole binary64 -1/2))
#s(approx (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) #s(hole binary64 (- (* -4/3 (pow x 2)) 1/2)))
#s(approx (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) #s(hole binary64 (- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/2)))
#s(approx (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/2)))
#s(approx (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) #s(hole binary64 1))
#s(approx (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (sin x) (pow (cos x) 2)) #s(hole binary64 x))
#s(approx (/ (sin x) (pow (cos x) 2)) #s(hole binary64 (* x (+ 1 (* 5/6 (pow x 2))))))
#s(approx (/ (sin x) (pow (cos x) 2)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2))))))))
#s(approx (/ (sin x) (pow (cos x) 2)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 5/6 (* (pow x 2) (+ 61/120 (* 277/1008 (pow x 2))))))))))
#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 (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2)) #s(hole binary64 (* -5/6 (pow x 2))))
#s(approx (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2)) #s(hole binary64 (* (pow x 2) (- (* -14/9 (pow x 2)) 5/6))))
#s(approx (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -89/54 (pow x 2)) 14/9)) 5/6))))
#s(approx (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1289/945 (pow x 2)) 89/54)) 14/9)) 5/6))))
#s(approx (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) #s(hole binary64 (* -5/6 (pow x 2))))
#s(approx (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) #s(hole binary64 (* (pow x 2) (- (* -13/18 (pow x 2)) 5/6))))
#s(approx (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -10/27 (pow x 2)) 13/18)) 5/6))))
#s(approx (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -373/1890 (pow x 2)) 10/27)) 13/18)) 5/6))))
#s(approx (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) #s(hole binary64 -1))
#s(approx (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) #s(hole binary64 (- (* -1 (pow x 2)) 1)))
#s(approx (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) #s(hole binary64 (- (* (pow x 2) (- (* -2/3 (pow x 2)) 1)) 1)))
#s(approx (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)) 1)))
#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 (/ -1 (pow (cos x) 2)) #s(hole binary64 -1))
#s(approx (/ -1 (pow (cos x) 2)) #s(hole binary64 (- (* -1 (pow x 2)) 1)))
#s(approx (/ -1 (pow (cos x) 2)) #s(hole binary64 (- (* (pow x 2) (- (* -2/3 (pow x 2)) 1)) 1)))
#s(approx (/ -1 (pow (cos x) 2)) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)) 1)))
#s(approx (* (pow (sin x) 2) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (pow (sin x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -1/18 (pow x 2))))))
#s(approx (* (pow (sin x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/135 (pow x 2)) 1/18))))))
#s(approx (* (pow (sin x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/135 (* -1/1890 (pow x 2)))) 1/18))))))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) #s(hole binary64 (* eps x)))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) #s(hole binary64 (* x (+ eps x))))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) #s(hole binary64 (* x (+ eps (* x (+ 1 (* x (- (+ eps (* -1/6 eps)) (* -1/2 eps)))))))))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) #s(hole binary64 (* x (+ eps (* x (+ 1 (* x (- (+ eps (+ (* -1/6 eps) (* 2/3 x))) (* -1/2 eps)))))))))
#s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) #s(hole binary64 (* eps x)))
#s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) #s(hole binary64 (* x (+ eps x))))
#s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) #s(hole binary64 (* x (+ eps (* x (+ 1 (* x (+ eps (* -1/6 eps)))))))))
#s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) #s(hole binary64 (* x (+ eps (* x (+ 1 (* x (+ eps (+ (* -1/6 eps) (* 1/6 x))))))))))
#s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) #s(hole binary64 eps))
#s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) #s(hole binary64 (+ eps (* eps (pow x 2)))))
#s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (* -1/3 eps) (* -1 eps))))))))
#s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (+ (* -1/3 eps) (* (pow x 2) (- (* 2/45 eps) (+ (* -1 (- (* -1/3 eps) (* -1 eps))) (* 1/3 eps))))) (* -1 eps))))))))
#s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) #s(hole binary64 (pow x 2)))
#s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (/ (pow (sin x) 2) (pow (cos 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 (/ (pow (sin x) 2) (cos x)) #s(hole binary64 (pow x 2)))
#s(approx (/ (pow (sin x) 2) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (pow (sin x) 2) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* 31/360 (pow x 2))))))))
#s(approx (/ (pow (sin x) 2) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 31/360 (* 173/5040 (pow x 2))))))))))
#s(approx (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) #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 (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 eps))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 (+ eps (* (pow eps 2) x))))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 (+ eps (* x (+ (* eps x) (pow eps 2))))))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 (+ eps (* x (+ (* x (+ eps (* x (- (* eps (+ eps (* -1/6 eps))) (* -1/2 (pow eps 2)))))) (pow eps 2))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
#s(approx (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) #s(hole binary64 (+ eps (* eps (+ (* (pow eps 2) (- (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) 1/6)) (+ (/ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))))))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) #s(hole binary64 (+ (* (pow eps 2) (- (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) 1/6)) (+ (/ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) #s(hole binary64 (* eps (- (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) 1/6))))
#s(approx (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) #s(hole binary64 (- (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) 1/6)))
#s(approx (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) #s(hole binary64 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))))
#s(approx (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (/ (sin x) (pow (cos x) 2)) #s(hole binary64 (/ (sin x) (pow (cos x) 2))))
#s(approx (pow (cos x) 2) #s(hole binary64 (pow (cos x) 2)))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2)) #s(hole binary64 (/ (+ (* 1/6 (pow (sin x) 2)) (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (pow (cos x) 2))))
#s(approx (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) #s(hole binary64 (+ (* 1/6 (pow (sin x) 2)) (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))))
#s(approx (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) #s(hole binary64 (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
#s(approx (pow (sin x) 2) #s(hole binary64 (pow (sin x) 2)))
#s(approx (/ -1 (pow (cos x) 2)) #s(hole binary64 (/ -1 (pow (cos x) 2))))
#s(approx (* (pow (sin x) 2) 1/6) #s(hole binary64 (* 1/6 (pow (sin x) 2))))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) #s(hole binary64 (/ (+ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (/ (pow (sin x) 2) (cos x))) (cos x))))
#s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) #s(hole binary64 (+ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (/ (pow (sin x) 2) (cos x)))))
#s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) #s(hole binary64 (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))))
#s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (/ (pow (sin x) 2) (cos x)) #s(hole binary64 (/ (pow (sin x) 2) (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 (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 (+ eps (/ (* eps (+ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (/ (pow (sin x) 2) (cos 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 (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) 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 (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) #s(hole binary64 (* eps (+ 1 (+ (* eps (+ (* eps (- (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) 1/6)) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) #s(hole binary64 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) #s(hole binary64 (+ (* eps (+ (* eps (- (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) 1/6)) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx eps #s(hole binary64 eps))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) #s(hole binary64 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) #s(hole binary64 (/ (pow (sin x) 2) (cos x))))
#s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) #s(hole binary64 (+ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (pow (sin x) 2) (cos x)))))
#s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) #s(hole binary64 (* eps (+ 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 (/ (sin eps) (cos eps)) #s(hole binary64 eps))
#s(approx (/ (sin eps) (cos eps)) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (/ (sin eps) (cos eps)) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))))
#s(approx (/ (sin eps) (cos eps)) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))))
#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 (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 (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) 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 (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) #s(hole binary64 (* (pow eps 3) (- (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) 1/6))))
#s(approx (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) #s(hole binary64 (* (pow eps 3) (- (+ (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x)))) 1/6))))
#s(approx (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) #s(hole binary64 (* (pow eps 3) (- (+ (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (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)))))) 1/6))))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) #s(hole binary64 (* (pow eps 2) (- (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) 1/6))))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x)))) 1/6))))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 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))))) 1/6))))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) #s(hole binary64 (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) #s(hole binary64 (* eps (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
#s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) #s(hole binary64 (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) #s(hole binary64 (* eps (+ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (pow (sin x) 2) (* eps (cos x)))))))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (/ (sin eps) (cos eps)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (cos eps) #s(hole binary64 (cos eps)))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 (/ (* (pow eps 2) (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 (* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))))
#s(approx (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (- (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) 1/6)) (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (* eps (cos x))))))))
#s(approx (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (- (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) 1/6)) (* -1 (/ (+ (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x))) (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps))) eps)))))))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (* eps (cos x))))) 1/6))))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) (* -1 (/ (+ (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x))) eps))) 1/6))))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) #s(hole binary64 (* -1 (/ (* eps (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x)))))))
#s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) #s(hole binary64 (* -1 (* eps (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))))))
#s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (pow (sin x) 2) (* eps (cos x)))) (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))))))
#s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))))
#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 (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 (* -1 (/ (* (pow eps 2) (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x))) (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps))))))

Outputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 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)) (fma.f64 x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
#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)) (fma.f64 (fma.f64 (*.f64 x (sin.f64 eps)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
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#s(approx (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)))))
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#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) eps)
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (+ x eps) (+.f64 eps x))
#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) x)
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#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) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#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 (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 eps))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) eps)
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 (+ eps (* (pow eps 2) x))))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (fma.f64 (*.f64 eps x) eps eps))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 (+ eps (* x (+ (* eps x) (pow eps 2))))))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (fma.f64 (*.f64 eps (+.f64 eps x)) x eps))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 (+ eps (* x (+ (* x (+ eps (* x (- (* eps (+ eps (* -1/6 eps))) (* -1/2 (pow eps 2)))))) (pow eps 2))))))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps #s(literal 5/6 binary64)) eps (.f64 #s(literal 1/2 binary64) (.f64 eps eps))) x eps) x (.f64 eps eps)) x eps))
#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)) (tan x)) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
#s(approx (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) #s(hole binary64 (+ eps (* eps (+ (* (pow eps 2) (- (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) 1/6)) (+ (/ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))))))
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#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) #s(hole binary64 (+ (* (pow eps 2) (- (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) 1/6)) (+ (/ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) (fma.f64 (-.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 (neg.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 1/6 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) #s(literal 1/6 binary64)) (.f64 eps eps) (*.f64 (sin.f64 x) (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (cos.f64 x)) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
#s(approx (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) #s(hole binary64 (* eps (- (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) 1/6))))
#s(approx (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) (.f64 (-.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 (neg.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 1/6 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) #s(literal 1/6 binary64)) eps))
#s(approx (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) #s(hole binary64 (- (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) 1/6)))
#s(approx (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) (-.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 (neg.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 1/6 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) #s(hole binary64 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))))
#s(approx (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 (neg.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 1/6 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
#s(approx (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (sin x) (sin.f64 x))
#s(approx (/ (sin x) (pow (cos x) 2)) #s(hole binary64 (/ (sin x) (pow (cos x) 2))))
#s(approx (/ (sin x) (pow (cos x) 2)) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
#s(approx (pow (cos x) 2) #s(hole binary64 (pow (cos x) 2)))
#s(approx (pow (cos x) 2) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (cos x) (cos.f64 x))
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#s(approx (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2)) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 (neg.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 1/6 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
#s(approx (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) #s(hole binary64 (+ (* 1/6 (pow (sin x) 2)) (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))))
#s(approx (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 (neg.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 1/6 binary64))))
#s(approx (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) #s(hole binary64 (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
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#s(approx (pow (sin x) 2) #s(hole binary64 (pow (sin x) 2)))
#s(approx (pow (sin x) 2) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
#s(approx (/ -1 (pow (cos x) 2)) #s(hole binary64 (/ -1 (pow (cos x) 2))))
#s(approx (/ -1 (pow (cos x) 2)) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
#s(approx (* (pow (sin x) 2) 1/6) #s(hole binary64 (* 1/6 (pow (sin x) 2))))
#s(approx (* (pow (sin x) 2) 1/6) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)))
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#s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) #s(hole binary64 (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))))
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#s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
#s(approx (/ (pow (sin x) 2) (cos x)) #s(hole binary64 (/ (pow (sin x) 2) (cos x))))
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#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (+ eps x)) (cos (+ eps x)))))
#s(approx (tan (+ x eps)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) x)
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (+ x eps) (fma.f64 (/.f64 eps x) x x))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (tan x) (/.f64 (sin.f64 x) (cos.f64 x)))
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#s(approx (sin eps) eps)
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#s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (sin.f64 x) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) (cos.f64 x))) eps))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps))
#s(approx (/ (sin eps) (cos eps)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (/ (sin eps) (cos eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (sin eps) (sin.f64 eps))
#s(approx (cos eps) #s(hole binary64 (cos eps)))
#s(approx (cos eps) (cos.f64 eps))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 (/ (* (pow eps 2) (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (.f64 eps (/.f64 (.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x)) (cos.f64 x))))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 (* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 (sin.f64 x) (/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x)) (/.f64 #s(literal 1 binary64) eps))) (.f64 eps 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)) (tan x)) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
#s(approx (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (- (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) 1/6)) (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (* eps (cos x))))))))
#s(approx (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) (.f64 (neg.f64 (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 (neg.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 (sin.f64 x) eps) (neg.f64 (-.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 (neg.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 1/6 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (- (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) 1/6)) (* -1 (/ (+ (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x))) (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps))) eps)))))))
#s(approx (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) (.f64 (neg.f64 (pow.f64 eps #s(literal 3 binary64))) (-.f64 (neg.f64 (-.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 (neg.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 1/6 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) #s(literal 1/6 binary64))) (/.f64 (neg.f64 (fma.f64 (sin.f64 x) (/.f64 (-.f64 (/.f64 (neg.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 (neg.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))))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (* eps (cos x))))) 1/6))))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) (.f64 (-.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 (neg.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 1/6 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (fma.f64 (/.f64 (-.f64 (/.f64 (neg.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 (sin.f64 x) eps) #s(literal 1/6 binary64))) (*.f64 eps eps)))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) (* -1 (/ (+ (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x))) eps))) 1/6))))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) (.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (sin.f64 x) (/.f64 (-.f64 (/.f64 (neg.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 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps) (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 (neg.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 1/6 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) #s(literal 1/6 binary64)) (*.f64 eps eps)))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) #s(hole binary64 (* -1 (/ (* eps (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (/.f64 (.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (/.f64 (neg.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)))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x)))))))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (*.f64 (neg.f64 eps) (fma.f64 (sin.f64 x) (/.f64 (-.f64 (/.f64 (neg.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 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
#s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) #s(hole binary64 (* -1 (* eps (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))))))
#s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (/.f64 (neg.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 (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (pow (sin x) 2) (* eps (cos x)))) (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))))))
#s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (*.f64 (neg.f64 eps) (fma.f64 (-.f64 (/.f64 (neg.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 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps)) (cos.f64 x)))))
#s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))))
#s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.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 (tan (+ x eps)) #s(hole binary64 (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))))
#s(approx (tan (+ x eps)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (+ x eps) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 (* -1 (/ (* (pow eps 2) (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (/.f64 (.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (sin.f64 x) (*.f64 eps eps))) (neg.f64 (cos.f64 x))))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x))) (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps))))))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (.f64 (neg.f64 (fma.f64 (sin.f64 x) (/.f64 (-.f64 (/.f64 (neg.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 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps))) (.f64 eps eps)))

rewrite170.0ms (1.5%)

Memory

9.5MiB live, 112.4MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	678
0	83	672
1	337	519
0	2819	491

Stop Event

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

Counts

41 → 420

Calls

Call 1

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

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

eval305.0ms (2.6%)

Memory: -10.3MiB live, 357.8MiB allocated; 68ms collecting garbage
Compiler: Compiled 97 994 to 7 153 computations (92.7% saved)

prune49.0ms (0.4%)

Memory

32.9MiB live, 122.7MiB allocated; 7ms collecting garbage

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	1 382	21	1 403
Fresh	6	5	11
Picked	5	0	5
Done	0	1	1
Total	1 393	27	1 420

Accuracy

100.0%

Counts

1 420 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.7%	(fma.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 2 binary64)))) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal 1 binary64)) (-.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x)))
	64.8%	(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 x)))) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (tan.f64 x)))) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x)))))
	64.7%	(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (sin.f64 x))) (*.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
	64.7%	(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x))
	6.8%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
✓	64.6%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	99.8%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64) #s(literal -1/6 binary64)) (.f64 eps eps) (fma.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps eps))
	99.7%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
▶	99.7%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (*.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (tan.f64 x))) eps eps))
	99.4%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64)))) eps eps))
	99.4%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))) eps eps))
	99.4%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) x)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) x))) #s(literal 2 binary64))) eps eps))
	99.4%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) eps eps))
▶	99.4%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))))) eps eps))
	99.4%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x)) eps eps))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (*.f64 eps x)) (cos.f64 x)) eps eps))
▶	99.8%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (+.f64 (fma.f64 (.f64 eps eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64) #s(literal -1/6 binary64)) (*.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (tan.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (*.f64 x x)) eps eps))
	99.0%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (*.f64 (+.f64 eps x) x)) eps eps))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (*.f64 eps x)) eps eps))
▶	99.0%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) x eps) x (.f64 (*.f64 eps eps) #s(literal 1/3 binary64)))) eps eps))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) (.f64 eps x))) eps eps))
	99.7%	#s(approx (- (tan (+ x eps)) (tan x)) (+.f64 (*.f64 (fma.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps) eps))
▶	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) eps))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) (fma.f64 (*.f64 eps eps) x (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64) eps))))

Compiler

Compiled 2 057 to 1 100 computations (46.5% saved)

series132.0ms (1.1%)

Memory

-7.5MiB live, 92.9MiB allocated; 12ms collecting garbage

Counts

52 → 250

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (+.f64 (fma.f64 (.f64 eps eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64) #s(literal -1/6 binary64)) (*.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (tan.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
(fma.f64 (+.f64 (fma.f64 (.f64 eps eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64) #s(literal -1/6 binary64)) (*.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (tan.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps)
(+.f64 (fma.f64 (.f64 eps eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64) #s(literal -1/6 binary64)) (*.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (tan.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 (.f64 eps eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64) #s(literal -1/6 binary64)) (*.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (tan.f64 x)))
(*.f64 eps eps)
eps
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64) #s(literal -1/6 binary64))
(fma.f64 (fma.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64))
(*.f64 (sin.f64 x) (tan.f64 x))
(sin.f64 x)
x
(tan.f64 x)
(/.f64 #s(literal -1 binary64) (cos.f64 x))
#s(literal -1 binary64)
(cos.f64 x)
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
#s(literal 1/6 binary64)
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal -1/6 binary64)
(*.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (tan.f64 x))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) eps))
#s(approx (/ (sin eps) (cos eps)) eps)
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) x eps) x (.f64 (*.f64 eps eps) #s(literal 1/3 binary64)))) eps eps))
(fma.f64 #s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) x eps) x (.f64 (*.f64 eps eps) #s(literal 1/3 binary64)))) eps eps)
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) x eps) x (.f64 (*.f64 eps eps) #s(literal 1/3 binary64))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) x eps) x (.f64 (*.f64 eps eps) #s(literal 1/3 binary64)))
(fma.f64 (fma.f64 #s(literal 4/3 binary64) (*.f64 eps eps) #s(literal 1 binary64)) x eps)
(fma.f64 #s(literal 4/3 binary64) (*.f64 eps eps) #s(literal 1 binary64))
#s(literal 4/3 binary64)
#s(literal 1 binary64)
(.f64 (.f64 eps eps) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))))) eps eps))
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))))) eps eps)
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))))
#s(literal 1/2 binary64)
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))
(cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
(*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (*.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (tan.f64 x))) eps eps))
(fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (*.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (tan.f64 x))) eps eps)
(fma.f64 (tan.f64 x) (tan.f64 x) (*.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps 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 (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) #s(hole binary64 (+ eps (* 1/3 (pow eps 3)))))
#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) #s(hole binary64 (+ eps (+ (* 1/3 (pow eps 3)) (* (pow eps 2) x)))))
#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) #s(hole binary64 (+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (pow eps 2)))))))
#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) #s(hole binary64 (+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* x (+ (* eps (* x (+ eps (* 1/3 eps)))) (* eps (+ 1 (* 4/3 (pow eps 2)))))) (pow eps 2)))))))
#s(approx (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) #s(hole binary64 (* 1/3 (pow eps 2))))
#s(approx (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* eps x))))
#s(approx (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2)))))))))
#s(approx (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (+ (* 4/3 (pow eps 2)) (* x (+ eps (* 1/3 eps)))))))))))
#s(approx (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (* 1/3 (pow eps 2))))
#s(approx (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* eps x))))
#s(approx (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* 4/3 (* (pow eps 2) x)))))))
#s(approx (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ (* 4/3 (pow eps 2)) (* x (+ eps (* 1/3 eps))))))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6) #s(hole binary64 1/3))
#s(approx (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6) #s(hole binary64 (+ 1/3 (* 4/3 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 4/3 (* 17/9 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/9 (* 248/135 (pow x 2)))))))))
#s(approx (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) #s(hole binary64 -1/2))
#s(approx (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) #s(hole binary64 (- (* -4/3 (pow x 2)) 1/2)))
#s(approx (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) #s(hole binary64 (- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/2)))
#s(approx (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/2)))
#s(approx (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) #s(hole binary64 -1))
#s(approx (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) #s(hole binary64 (- (* -1 (pow x 2)) 1)))
#s(approx (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) #s(hole binary64 (- (* (pow x 2) (- (* -2/3 (pow x 2)) 1)) 1)))
#s(approx (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)) 1)))
#s(approx (* (sin x) (tan x)) #s(hole binary64 (pow x 2)))
#s(approx (* (sin x) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/6 (pow x 2))))))
#s(approx (* (sin x) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* 31/360 (pow x 2))))))))
#s(approx (* (sin x) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 31/360 (* 173/5040 (pow x 2))))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (/ -1 (cos x)) #s(hole binary64 -1))
#s(approx (/ -1 (cos x)) #s(hole binary64 (- (* -1/2 (pow x 2)) 1)))
#s(approx (/ -1 (cos x)) #s(hole binary64 (- (* (pow x 2) (- (* -5/24 (pow x 2)) 1/2)) 1)))
#s(approx (/ -1 (cos x)) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -61/720 (pow x 2)) 5/24)) 1/2)) 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 (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 (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) #s(hole binary64 -1/2))
#s(approx (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) #s(hole binary64 (- (* -1/3 (pow x 2)) 1/2)))
#s(approx (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) #s(hole binary64 (- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/2)))
#s(approx (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) #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) -1/2) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (pow (tan x) 2) -1/2) -1/2) #s(hole binary64 (- (* -1/2 (pow x 2)) 1/2)))
#s(approx (+ (* (pow (tan x) 2) -1/2) -1/2) #s(hole binary64 (- (* (pow x 2) (- (* -1/3 (pow x 2)) 1/2)) 1/2)))
#s(approx (+ (* (pow (tan x) 2) -1/2) -1/2) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/90 (pow x 2)) 1/3)) 1/2)) 1/2)))
#s(approx (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) #s(hole binary64 (* eps x)))
#s(approx (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ eps (* 1/3 eps)))))))
#s(approx (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ eps (+ (* 1/3 eps) (* (pow x 2) (+ (* 2/15 eps) (+ (* 1/3 eps) (* 2/3 eps)))))))))))
#s(approx (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ eps (+ (* 1/3 eps) (* (pow x 2) (+ (* 2/15 eps) (+ (* 1/3 eps) (+ (* 2/3 eps) (* (pow x 2) (+ (* 17/315 eps) (+ (* 2/15 eps) (+ (* 2/9 eps) (* 17/45 eps))))))))))))))))
#s(approx (+ (* (pow (tan x) 2) eps) eps) #s(hole binary64 eps))
#s(approx (+ (* (pow (tan x) 2) eps) eps) #s(hole binary64 (+ eps (* eps (pow x 2)))))
#s(approx (+ (* (pow (tan x) 2) eps) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2))))))))
#s(approx (+ (* (pow (tan x) 2) eps) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* (pow x 2) (+ (* 17/45 (* eps (pow x 2))) (* 2/3 eps))))))))
#s(approx (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) #s(hole binary64 (+ eps (* 1/3 (pow eps 3)))))
#s(approx (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) #s(hole binary64 (+ eps (+ (* 1/3 (pow eps 3)) (* (pow eps 2) x)))))
#s(approx (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) #s(hole binary64 (+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (pow eps 2)))))))
#s(approx (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) #s(hole binary64 (+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* x (+ (* eps (* x (- (+ eps (* -1/6 eps)) (* -1/2 eps)))) (* eps (+ 1 (* 4/3 (pow eps 2)))))) (pow eps 2)))))))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) #s(hole binary64 (* 1/3 (pow eps 2))))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* eps x))))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2)))))))))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (+ (* 4/3 (pow eps 2)) (* x (- (+ eps (* -1/6 eps)) (* -1/2 eps)))))))))))
#s(approx (+ (* (+ (* (+ (* 4/3 (* eps eps)) 1) x) eps) x) (* (* eps eps) 1/3)) #s(hole binary64 (* 1/3 (pow eps 2))))
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#s(approx (+ (* (+ (* 4/3 (* eps eps)) 1) x) eps) #s(hole binary64 eps))
#s(approx (+ (* (+ (* 4/3 (* eps eps)) 1) x) eps) #s(hole binary64 (+ eps (* x (+ 1 (* 4/3 (pow eps 2)))))))
#s(approx (+ (* (/ (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))))) eps) eps) #s(hole binary64 eps))
#s(approx (+ (* (/ (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))))) eps) eps) #s(hole binary64 (+ eps (/ (* eps (pow x 2)) (- 1/2 (* 1/2 (cos (PI))))))))
#s(approx (+ (* (/ (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))))) eps) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1 (/ (* eps (* x (sin (PI)))) (pow (- 1/2 (* 1/2 (cos (PI)))) 2))) (/ eps (- 1/2 (* 1/2 (cos (PI))))))))))
#s(approx (+ (* (/ (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))))) eps) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* x (- (* x (- (* -1/3 (/ eps (- 1/2 (* 1/2 (cos (PI)))))) (+ (* -1 (/ (* eps (pow (sin (PI)) 2)) (pow (- 1/2 (* 1/2 (cos (PI)))) 3))) (/ (* eps (cos (PI))) (pow (- 1/2 (* 1/2 (cos (PI)))) 2))))) (/ (* eps (sin (PI))) (pow (- 1/2 (* 1/2 (cos (PI)))) 2)))) (/ eps (- 1/2 (* 1/2 (cos (PI))))))))))
#s(approx (/ (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))))) #s(hole binary64 (/ (pow x 2) (- 1/2 (* 1/2 (cos (PI)))))))
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#s(approx (/ (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))))) #s(hole binary64 (* (pow x 2) (+ (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin (PI)) 2) (pow (- 1/2 (* 1/2 (cos (PI)))) 3))) (+ (* 1/3 (/ 1 (- 1/2 (* 1/2 (cos (PI)))))) (/ (cos (PI)) (pow (- 1/2 (* 1/2 (cos (PI)))) 2)))))) (/ (sin (PI)) (pow (- 1/2 (* 1/2 (cos (PI)))) 2)))) (/ 1 (- 1/2 (* 1/2 (cos (PI)))))))))
#s(approx (/ (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))))) #s(hole binary64 (* (pow x 2) (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (cos (PI)) (sin (PI))) (pow (- 1/2 (* 1/2 (cos (PI)))) 3))) (+ (* -1 (/ (* (sin (PI)) (+ (* -1 (/ (pow (sin (PI)) 2) (pow (- 1/2 (* 1/2 (cos (PI)))) 3))) (+ (* 1/3 (/ 1 (- 1/2 (* 1/2 (cos (PI)))))) (/ (cos (PI)) (pow (- 1/2 (* 1/2 (cos (PI)))) 2))))) (- 1/2 (* 1/2 (cos (PI)))))) (* -2/3 (/ (sin (PI)) (pow (- 1/2 (* 1/2 (cos (PI)))) 2))))))) (+ (* -1 (/ (pow (sin (PI)) 2) (pow (- 1/2 (* 1/2 (cos (PI)))) 3))) (+ (* 1/3 (/ 1 (- 1/2 (* 1/2 (cos (PI)))))) (/ (cos (PI)) (pow (- 1/2 (* 1/2 (cos (PI)))) 2)))))) (/ (sin (PI)) (pow (- 1/2 (* 1/2 (cos (PI)))) 2)))) (/ 1 (- 1/2 (* 1/2 (cos (PI)))))))))
#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))))))
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#s(approx (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x))))) #s(hole binary64 (- (+ 1/2 (* x (sin (PI)))) (* 1/2 (cos (PI))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x))))) #s(hole binary64 (- (+ 1/2 (* x (- (* x (cos (PI))) (* -1 (sin (PI)))))) (* 1/2 (cos (PI))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x))))) #s(hole binary64 (- (+ 1/2 (* x (- (* x (- (* -2/3 (* x (sin (PI)))) (* -1 (cos (PI))))) (* -1 (sin (PI)))))) (* 1/2 (cos (PI))))))
#s(approx (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))) #s(hole binary64 (* 1/2 (cos (PI)))))
#s(approx (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))) #s(hole binary64 (+ (* -1 (* x (sin (PI)))) (* 1/2 (cos (PI))))))
#s(approx (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))) #s(hole binary64 (+ (* 1/2 (cos (PI))) (* x (+ (* -1 (sin (PI))) (* -1 (* x (cos (PI)))))))))
#s(approx (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))) #s(hole binary64 (+ (* 1/2 (cos (PI))) (* x (+ (* -1 (sin (PI))) (* x (+ (* -1 (cos (PI))) (* 2/3 (* x (sin (PI)))))))))))
#s(approx (cos (* 2 (+ (/ (PI) 2) x))) #s(hole binary64 (cos (PI))))
#s(approx (cos (* 2 (+ (/ (PI) 2) x))) #s(hole binary64 (+ (cos (PI)) (* -2 (* x (sin (PI)))))))
#s(approx (cos (* 2 (+ (/ (PI) 2) x))) #s(hole binary64 (+ (cos (PI)) (* x (- (* -2 (* x (cos (PI)))) (* 2 (sin (PI))))))))
#s(approx (cos (* 2 (+ (/ (PI) 2) x))) #s(hole binary64 (+ (cos (PI)) (* x (- (* x (+ (* -2 (cos (PI))) (* 4/3 (* x (sin (PI)))))) (* 2 (sin (PI))))))))
#s(approx (* 2 (+ (/ (PI) 2) x)) #s(hole binary64 (PI)))
#s(approx (* 2 (+ (/ (PI) 2) x)) #s(hole binary64 (+ (PI) (* 2 x))))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (+ x (* 1/2 (PI)))))
#s(approx (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) #s(hole binary64 eps))
#s(approx (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) #s(hole binary64 (+ eps (* (pow eps 2) x))))
#s(approx (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) #s(hole binary64 (+ eps (* x (+ (* eps x) (pow eps 2))))))
#s(approx (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) #s(hole binary64 (+ eps (* x (+ (* x (+ eps (* eps (* x (+ eps (* 1/3 eps)))))) (pow eps 2))))))
#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (* eps x)))
#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (* x (+ eps x))))
#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (* x (+ eps (* x (+ 1 (* x (+ eps (* 1/3 eps)))))))))
#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (* x (+ eps (* x (+ 1 (* x (+ eps (+ (* 1/3 eps) (* 2/3 x))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) #s(hole binary64 (+ eps (* eps (+ (* (pow eps 2) (- (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) 1/6)) (+ (/ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))))))
#s(approx (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) #s(hole binary64 (+ (* (pow eps 2) (- (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) 1/6)) (+ (/ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (+ (* (pow eps 2) (- (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) 1/6)) (/ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x)))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6) #s(hole binary64 (- (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) 1/6)))
#s(approx (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) #s(hole binary64 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)))
#s(approx (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) #s(hole binary64 (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
#s(approx (* (sin x) (tan x)) #s(hole binary64 (/ (pow (sin x) 2) (cos x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (/ -1 (cos x)) #s(hole binary64 (/ -1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (pow (tan x) 2) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) #s(hole binary64 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)))
#s(approx (+ (* (pow (tan x) 2) -1/2) -1/2) #s(hole binary64 (- (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) 1/2)))
#s(approx (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) #s(hole binary64 (/ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x))))
#s(approx (+ (* (pow (tan x) 2) eps) eps) #s(hole binary64 (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))))
#s(approx (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) #s(hole binary64 (+ eps (* eps (+ (* (pow eps 2) (- (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) 1/6)) (+ (/ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))))))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) #s(hole binary64 (+ (* (pow eps 2) (- (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) 1/6)) (+ (/ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (+ (* (+ (* 4/3 (* eps eps)) 1) x) eps) x) (* (* eps eps) 1/3)) #s(hole binary64 (* (pow x 2) (+ 1 (* 4/3 (pow eps 2))))))
#s(approx (+ (* (+ (* (+ (* 4/3 (* eps eps)) 1) x) eps) x) (* (* eps eps) 1/3)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 4/3 (pow eps 2)) (/ eps x))))))
#s(approx (+ (* (+ (* (+ (* 4/3 (* eps eps)) 1) x) eps) x) (* (* eps eps) 1/3)) #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 (* eps eps)) 1) x) eps) #s(hole binary64 (* x (+ 1 (* 4/3 (pow eps 2))))))
#s(approx (+ (* (+ (* 4/3 (* eps eps)) 1) x) eps) #s(hole binary64 (* x (+ 1 (+ (* 4/3 (pow eps 2)) (/ eps x))))))
#s(approx (+ (* (/ (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))))) eps) eps) #s(hole binary64 (+ eps (/ (* eps (pow (sin x) 2)) (- 1/2 (* 1/2 (cos (* 2 (+ x (* 1/2 (PI)))))))))))
#s(approx (/ (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))))) #s(hole binary64 (/ (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 (+ x (* 1/2 (PI))))))))))
#s(approx (pow (sin x) 2) #s(hole binary64 (pow (sin x) 2)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x))))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 (+ x (* 1/2 (PI)))))))))
#s(approx (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))) #s(hole binary64 (* 1/2 (cos (* 2 (+ x (* 1/2 (PI))))))))
#s(approx (cos (* 2 (+ (/ (PI) 2) x))) #s(hole binary64 (cos (* 2 (+ x (* 1/2 (PI)))))))
#s(approx (* 2 (+ (/ (PI) 2) x)) #s(hole binary64 (* 2 x)))
#s(approx (* 2 (+ (/ (PI) 2) x)) #s(hole binary64 (* x (+ 2 (/ (PI) x)))))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 x))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (PI) x))))))
#s(approx (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) #s(hole binary64 (+ eps (* eps (+ (/ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (+ (/ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))))
#s(approx (+ (* (+ (* (+ (* 4/3 (* eps eps)) 1) x) eps) x) (* (* eps eps) 1/3)) #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 (* eps eps)) 1) x) eps) #s(hole binary64 (* -1 (* x (+ (* -1 (+ 1 (* 4/3 (pow eps 2)))) (* -1 (/ eps x)))))))
#s(approx (+ (* (/ (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))))) eps) eps) #s(hole binary64 (+ eps (/ (* eps (pow (sin x) 2)) (- 1/2 (* 1/2 (cos (* 2 (- (* 1/2 (PI)) (* -1 x))))))))))
#s(approx (/ (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))))) #s(hole binary64 (/ (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 (- (* 1/2 (PI)) (* -1 x)))))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x))))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 (- (* 1/2 (PI)) (* -1 x))))))))
#s(approx (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))) #s(hole binary64 (* 1/2 (cos (* 2 (- (* 1/2 (PI)) (* -1 x)))))))
#s(approx (cos (* 2 (+ (/ (PI) 2) x))) #s(hole binary64 (cos (* 2 (- (* 1/2 (PI)) (* -1 x))))))
#s(approx (* 2 (+ (/ (PI) 2) x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (PI) x)) 2)))))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (PI) 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 (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) #s(hole binary64 (* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) #s(hole binary64 (* eps (+ 1 (+ (* eps (+ (* eps (- (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) 1/6)) (/ (* (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) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) #s(hole binary64 (+ (/ (* 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) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) #s(hole binary64 (+ (* eps (+ (* eps (- (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) 1/6)) (/ (* (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) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))
#s(approx (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (* eps (+ (* eps (- (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) 1/6)) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx eps #s(hole binary64 eps))
#s(approx (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) #s(hole binary64 (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))
#s(approx (+ (* (pow (tan x) 2) eps) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (/ (sin eps) (cos eps)) #s(hole binary64 eps))
#s(approx (/ (sin eps) (cos eps)) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (/ (sin eps) (cos eps)) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))))
#s(approx (/ (sin eps) (cos eps)) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))))
#s(approx (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) 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 (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) #s(hole binary64 (* eps (+ 1 (+ (* eps (+ (* eps (- (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) 1/6)) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
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#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) #s(hole binary64 (+ (* eps (+ (* eps (- (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) 1/6)) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (+ (* (+ (* (+ (* 4/3 (* eps eps)) 1) x) eps) x) (* (* eps eps) 1/3)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (+ (* (+ (* 4/3 (* eps eps)) 1) x) eps) x) (* (* eps eps) 1/3)) #s(hole binary64 (+ (* eps x) (pow x 2))))
#s(approx (+ (* (+ (* (+ (* 4/3 (* eps eps)) 1) x) eps) x) (* (* eps eps) 1/3)) #s(hole binary64 (+ (* eps (+ x (* eps (+ 1/3 (* 4/3 (pow x 2)))))) (pow x 2))))
#s(approx (+ (* (+ (* 4/3 (* eps eps)) 1) x) eps) #s(hole binary64 x))
#s(approx (+ (* (+ (* 4/3 (* eps eps)) 1) x) eps) #s(hole binary64 (+ eps x)))
#s(approx (+ (* (+ (* 4/3 (* eps eps)) 1) x) eps) #s(hole binary64 (+ x (* eps (+ 1 (* 4/3 (* eps 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) #s(hole binary64 (* 1/3 (pow eps 2))))
#s(approx (+ (* (/ (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))))) eps) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 (+ x (* 1/2 (PI))))))))))))
#s(approx (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) #s(hole binary64 (* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (+ (/ (* 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) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) #s(hole binary64 (* (pow eps 3) (- (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) 1/6))))
#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) #s(hole binary64 (* (pow eps 3) (- (+ (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x)))) 1/6))))
#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) #s(hole binary64 (* (pow eps 3) (- (+ (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) (+ (/ 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)))))) 1/6))))
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#s(approx (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) (+ (/ (* (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))))) 1/6))))
#s(approx (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (* (pow eps 2) (- (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) 1/6))))
#s(approx (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x)))) 1/6))))
#s(approx (/ (sin eps) (cos eps)) #s(hole binary64 (/ (sin eps) (cos eps))))
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Calls

6 calls:

Time	Variable		Point	Expression
39.0ms	eps	@	0	((- (tan (+ x eps)) (tan x)) (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (* eps eps) eps (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6) (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (* (sin x) (tan x)) (sin x) x (tan x) (/ -1 (cos x)) -1 (cos x) (pow (tan x) 2) 2 (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) 1/6 (+ (* (pow (tan x) 2) -1/2) -1/2) -1/2 -1/6 (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (+ (* (pow (tan x) 2) eps) eps) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (- (tan (+ x eps)) (tan x)) (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) (+ (* (+ (* (+ (* 4/3 (* eps eps)) 1) x) eps) x) (* (* eps eps) 1/3)) (+ (* (+ (* 4/3 (* eps eps)) 1) x) eps) (+ (* 4/3 (* eps eps)) 1) 4/3 1 (* (* eps eps) 1/3) 1/3 (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))))) eps) eps) (/ (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))))) (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x))))) 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))) (cos (* 2 (+ (/ (PI) 2) x))) (* 2 (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x) (/ (PI) 2) (PI) (- (tan (+ x eps)) (tan x)) (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))))
38.0ms	x	@	0	((- (tan (+ x eps)) (tan x)) (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (* eps eps) eps (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6) (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (* (sin x) (tan x)) (sin x) x (tan x) (/ -1 (cos x)) -1 (cos x) (pow (tan x) 2) 2 (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) 1/6 (+ (* (pow (tan x) 2) -1/2) -1/2) -1/2 -1/6 (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (+ (* (pow (tan x) 2) eps) eps) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (- (tan (+ x eps)) (tan x)) (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) (+ (* (+ (* (+ (* 4/3 (* eps eps)) 1) x) eps) x) (* (* eps eps) 1/3)) (+ (* (+ (* 4/3 (* eps eps)) 1) x) eps) (+ (* 4/3 (* eps eps)) 1) 4/3 1 (* (* eps eps) 1/3) 1/3 (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))))) eps) eps) (/ (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))))) (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x))))) 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))) (cos (* 2 (+ (/ (PI) 2) x))) (* 2 (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x) (/ (PI) 2) (PI) (- (tan (+ x eps)) (tan x)) (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))))
13.0ms	x	@	-inf	((- (tan (+ x eps)) (tan x)) (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (* eps eps) eps (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6) (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (* (sin x) (tan x)) (sin x) x (tan x) (/ -1 (cos x)) -1 (cos x) (pow (tan x) 2) 2 (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) 1/6 (+ (* (pow (tan x) 2) -1/2) -1/2) -1/2 -1/6 (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (+ (* (pow (tan x) 2) eps) eps) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (- (tan (+ x eps)) (tan x)) (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) (+ (* (+ (* (+ (* 4/3 (* eps eps)) 1) x) eps) x) (* (* eps eps) 1/3)) (+ (* (+ (* 4/3 (* eps eps)) 1) x) eps) (+ (* 4/3 (* eps eps)) 1) 4/3 1 (* (* eps eps) 1/3) 1/3 (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))))) eps) eps) (/ (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))))) (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x))))) 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))) (cos (* 2 (+ (/ (PI) 2) x))) (* 2 (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x) (/ (PI) 2) (PI) (- (tan (+ x eps)) (tan x)) (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))))
13.0ms	x	@	inf	((- (tan (+ x eps)) (tan x)) (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (* eps eps) eps (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6) (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (* (sin x) (tan x)) (sin x) x (tan x) (/ -1 (cos x)) -1 (cos x) (pow (tan x) 2) 2 (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) 1/6 (+ (* (pow (tan x) 2) -1/2) -1/2) -1/2 -1/6 (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (+ (* (pow (tan x) 2) eps) eps) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (- (tan (+ x eps)) (tan x)) (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) (+ (* (+ (* (+ (* 4/3 (* eps eps)) 1) x) eps) x) (* (* eps eps) 1/3)) (+ (* (+ (* 4/3 (* eps eps)) 1) x) eps) (+ (* 4/3 (* eps eps)) 1) 4/3 1 (* (* eps eps) 1/3) 1/3 (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))))) eps) eps) (/ (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))))) (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x))))) 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))) (cos (* 2 (+ (/ (PI) 2) x))) (* 2 (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x) (/ (PI) 2) (PI) (- (tan (+ x eps)) (tan x)) (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))))
9.0ms	eps	@	inf	((- (tan (+ x eps)) (tan x)) (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (* eps eps) eps (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6) (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (* (sin x) (tan x)) (sin x) x (tan x) (/ -1 (cos x)) -1 (cos x) (pow (tan x) 2) 2 (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) 1/6 (+ (* (pow (tan x) 2) -1/2) -1/2) -1/2 -1/6 (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (+ (* (pow (tan x) 2) eps) eps) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (- (tan (+ x eps)) (tan x)) (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) (+ (* (+ (* (+ (* 4/3 (* eps eps)) 1) x) eps) x) (* (* eps eps) 1/3)) (+ (* (+ (* 4/3 (* eps eps)) 1) x) eps) (+ (* 4/3 (* eps eps)) 1) 4/3 1 (* (* eps eps) 1/3) 1/3 (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))))) eps) eps) (/ (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))))) (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x))))) 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))) (cos (* 2 (+ (/ (PI) 2) x))) (* 2 (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x) (/ (PI) 2) (PI) (- (tan (+ x eps)) (tan x)) (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))))

simplify191.0ms (1.7%)

Memory

10.7MiB live, 241.9MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1116	12178
1	3390	11194
0	9168	10397

Stop Event

1×	iter limit
1×	node limit

Counts

250 → 250

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) #s(hole binary64 (+ eps (* 1/3 (pow eps 3)))))
#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) #s(hole binary64 (+ eps (+ (* 1/3 (pow eps 3)) (* (pow eps 2) x)))))
#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) #s(hole binary64 (+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (pow eps 2)))))))
#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) #s(hole binary64 (+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* x (+ (* eps (* x (+ eps (* 1/3 eps)))) (* eps (+ 1 (* 4/3 (pow eps 2)))))) (pow eps 2)))))))
#s(approx (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) #s(hole binary64 (* 1/3 (pow eps 2))))
#s(approx (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* eps x))))
#s(approx (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2)))))))))
#s(approx (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (+ (* 4/3 (pow eps 2)) (* x (+ eps (* 1/3 eps)))))))))))
#s(approx (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (* 1/3 (pow eps 2))))
#s(approx (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* eps x))))
#s(approx (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* 4/3 (* (pow eps 2) x)))))))
#s(approx (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ (* 4/3 (pow eps 2)) (* x (+ eps (* 1/3 eps))))))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6) #s(hole binary64 1/3))
#s(approx (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6) #s(hole binary64 (+ 1/3 (* 4/3 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 4/3 (* 17/9 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/9 (* 248/135 (pow x 2)))))))))
#s(approx (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) #s(hole binary64 -1/2))
#s(approx (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) #s(hole binary64 (- (* -4/3 (pow x 2)) 1/2)))
#s(approx (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) #s(hole binary64 (- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/2)))
#s(approx (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/2)))
#s(approx (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) #s(hole binary64 -1))
#s(approx (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) #s(hole binary64 (- (* -1 (pow x 2)) 1)))
#s(approx (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) #s(hole binary64 (- (* (pow x 2) (- (* -2/3 (pow x 2)) 1)) 1)))
#s(approx (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)) 1)))
#s(approx (* (sin x) (tan x)) #s(hole binary64 (pow x 2)))
#s(approx (* (sin x) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/6 (pow x 2))))))
#s(approx (* (sin x) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* 31/360 (pow x 2))))))))
#s(approx (* (sin x) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 31/360 (* 173/5040 (pow x 2))))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (/ -1 (cos x)) #s(hole binary64 -1))
#s(approx (/ -1 (cos x)) #s(hole binary64 (- (* -1/2 (pow x 2)) 1)))
#s(approx (/ -1 (cos x)) #s(hole binary64 (- (* (pow x 2) (- (* -5/24 (pow x 2)) 1/2)) 1)))
#s(approx (/ -1 (cos x)) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -61/720 (pow x 2)) 5/24)) 1/2)) 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 (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 (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) #s(hole binary64 -1/2))
#s(approx (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) #s(hole binary64 (- (* -1/3 (pow x 2)) 1/2)))
#s(approx (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) #s(hole binary64 (- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/2)))
#s(approx (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) #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) -1/2) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (pow (tan x) 2) -1/2) -1/2) #s(hole binary64 (- (* -1/2 (pow x 2)) 1/2)))
#s(approx (+ (* (pow (tan x) 2) -1/2) -1/2) #s(hole binary64 (- (* (pow x 2) (- (* -1/3 (pow x 2)) 1/2)) 1/2)))
#s(approx (+ (* (pow (tan x) 2) -1/2) -1/2) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/90 (pow x 2)) 1/3)) 1/2)) 1/2)))
#s(approx (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) #s(hole binary64 (* eps x)))
#s(approx (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ eps (* 1/3 eps)))))))
#s(approx (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ eps (+ (* 1/3 eps) (* (pow x 2) (+ (* 2/15 eps) (+ (* 1/3 eps) (* 2/3 eps)))))))))))
#s(approx (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ eps (+ (* 1/3 eps) (* (pow x 2) (+ (* 2/15 eps) (+ (* 1/3 eps) (+ (* 2/3 eps) (* (pow x 2) (+ (* 17/315 eps) (+ (* 2/15 eps) (+ (* 2/9 eps) (* 17/45 eps))))))))))))))))
#s(approx (+ (* (pow (tan x) 2) eps) eps) #s(hole binary64 eps))
#s(approx (+ (* (pow (tan x) 2) eps) eps) #s(hole binary64 (+ eps (* eps (pow x 2)))))
#s(approx (+ (* (pow (tan x) 2) eps) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2))))))))
#s(approx (+ (* (pow (tan x) 2) eps) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* (pow x 2) (+ (* 17/45 (* eps (pow x 2))) (* 2/3 eps))))))))
#s(approx (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) #s(hole binary64 (+ eps (* 1/3 (pow eps 3)))))
#s(approx (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) #s(hole binary64 (+ eps (+ (* 1/3 (pow eps 3)) (* (pow eps 2) x)))))
#s(approx (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) #s(hole binary64 (+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (pow eps 2)))))))
#s(approx (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) #s(hole binary64 (+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* x (+ (* eps (* x (- (+ eps (* -1/6 eps)) (* -1/2 eps)))) (* eps (+ 1 (* 4/3 (pow eps 2)))))) (pow eps 2)))))))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) #s(hole binary64 (* 1/3 (pow eps 2))))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* eps x))))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2)))))))))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (+ (* 4/3 (pow eps 2)) (* x (- (+ eps (* -1/6 eps)) (* -1/2 eps)))))))))))
#s(approx (+ (* (+ (* (+ (* 4/3 (* eps eps)) 1) x) eps) x) (* (* eps eps) 1/3)) #s(hole binary64 (* 1/3 (pow eps 2))))
#s(approx (+ (* (+ (* (+ (* 4/3 (* eps eps)) 1) x) eps) x) (* (* eps eps) 1/3)) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* eps x))))
#s(approx (+ (* (+ (* (+ (* 4/3 (* eps eps)) 1) x) eps) x) (* (* eps eps) 1/3)) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2)))))))))
#s(approx (+ (* (+ (* 4/3 (* eps eps)) 1) x) eps) #s(hole binary64 eps))
#s(approx (+ (* (+ (* 4/3 (* eps eps)) 1) x) eps) #s(hole binary64 (+ eps (* x (+ 1 (* 4/3 (pow eps 2)))))))
#s(approx (+ (* (/ (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))))) eps) eps) #s(hole binary64 eps))
#s(approx (+ (* (/ (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))))) eps) eps) #s(hole binary64 (+ eps (/ (* eps (pow x 2)) (- 1/2 (* 1/2 (cos (PI))))))))
#s(approx (+ (* (/ (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))))) eps) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1 (/ (* eps (* x (sin (PI)))) (pow (- 1/2 (* 1/2 (cos (PI)))) 2))) (/ eps (- 1/2 (* 1/2 (cos (PI))))))))))
#s(approx (+ (* (/ (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))))) eps) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* x (- (* x (- (* -1/3 (/ eps (- 1/2 (* 1/2 (cos (PI)))))) (+ (* -1 (/ (* eps (pow (sin (PI)) 2)) (pow (- 1/2 (* 1/2 (cos (PI)))) 3))) (/ (* eps (cos (PI))) (pow (- 1/2 (* 1/2 (cos (PI)))) 2))))) (/ (* eps (sin (PI))) (pow (- 1/2 (* 1/2 (cos (PI)))) 2)))) (/ eps (- 1/2 (* 1/2 (cos (PI))))))))))
#s(approx (/ (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))))) #s(hole binary64 (/ (pow x 2) (- 1/2 (* 1/2 (cos (PI)))))))
#s(approx (/ (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))))) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (* x (sin (PI))) (pow (- 1/2 (* 1/2 (cos (PI)))) 2))) (/ 1 (- 1/2 (* 1/2 (cos (PI)))))))))
#s(approx (/ (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))))) #s(hole binary64 (* (pow x 2) (+ (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin (PI)) 2) (pow (- 1/2 (* 1/2 (cos (PI)))) 3))) (+ (* 1/3 (/ 1 (- 1/2 (* 1/2 (cos (PI)))))) (/ (cos (PI)) (pow (- 1/2 (* 1/2 (cos (PI)))) 2)))))) (/ (sin (PI)) (pow (- 1/2 (* 1/2 (cos (PI)))) 2)))) (/ 1 (- 1/2 (* 1/2 (cos (PI)))))))))
#s(approx (/ (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))))) #s(hole binary64 (* (pow x 2) (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (cos (PI)) (sin (PI))) (pow (- 1/2 (* 1/2 (cos (PI)))) 3))) (+ (* -1 (/ (* (sin (PI)) (+ (* -1 (/ (pow (sin (PI)) 2) (pow (- 1/2 (* 1/2 (cos (PI)))) 3))) (+ (* 1/3 (/ 1 (- 1/2 (* 1/2 (cos (PI)))))) (/ (cos (PI)) (pow (- 1/2 (* 1/2 (cos (PI)))) 2))))) (- 1/2 (* 1/2 (cos (PI)))))) (* -2/3 (/ (sin (PI)) (pow (- 1/2 (* 1/2 (cos (PI)))) 2))))))) (+ (* -1 (/ (pow (sin (PI)) 2) (pow (- 1/2 (* 1/2 (cos (PI)))) 3))) (+ (* 1/3 (/ 1 (- 1/2 (* 1/2 (cos (PI)))))) (/ (cos (PI)) (pow (- 1/2 (* 1/2 (cos (PI)))) 2)))))) (/ (sin (PI)) (pow (- 1/2 (* 1/2 (cos (PI)))) 2)))) (/ 1 (- 1/2 (* 1/2 (cos (PI)))))))))
#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 (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x))))) #s(hole binary64 (- 1/2 (* 1/2 (cos (PI))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x))))) #s(hole binary64 (- (+ 1/2 (* x (sin (PI)))) (* 1/2 (cos (PI))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x))))) #s(hole binary64 (- (+ 1/2 (* x (- (* x (cos (PI))) (* -1 (sin (PI)))))) (* 1/2 (cos (PI))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x))))) #s(hole binary64 (- (+ 1/2 (* x (- (* x (- (* -2/3 (* x (sin (PI)))) (* -1 (cos (PI))))) (* -1 (sin (PI)))))) (* 1/2 (cos (PI))))))
#s(approx (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))) #s(hole binary64 (* 1/2 (cos (PI)))))
#s(approx (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))) #s(hole binary64 (+ (* -1 (* x (sin (PI)))) (* 1/2 (cos (PI))))))
#s(approx (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))) #s(hole binary64 (+ (* 1/2 (cos (PI))) (* x (+ (* -1 (sin (PI))) (* -1 (* x (cos (PI)))))))))
#s(approx (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))) #s(hole binary64 (+ (* 1/2 (cos (PI))) (* x (+ (* -1 (sin (PI))) (* x (+ (* -1 (cos (PI))) (* 2/3 (* x (sin (PI)))))))))))
#s(approx (cos (* 2 (+ (/ (PI) 2) x))) #s(hole binary64 (cos (PI))))
#s(approx (cos (* 2 (+ (/ (PI) 2) x))) #s(hole binary64 (+ (cos (PI)) (* -2 (* x (sin (PI)))))))
#s(approx (cos (* 2 (+ (/ (PI) 2) x))) #s(hole binary64 (+ (cos (PI)) (* x (- (* -2 (* x (cos (PI)))) (* 2 (sin (PI))))))))
#s(approx (cos (* 2 (+ (/ (PI) 2) x))) #s(hole binary64 (+ (cos (PI)) (* x (- (* x (+ (* -2 (cos (PI))) (* 4/3 (* x (sin (PI)))))) (* 2 (sin (PI))))))))
#s(approx (* 2 (+ (/ (PI) 2) x)) #s(hole binary64 (PI)))
#s(approx (* 2 (+ (/ (PI) 2) x)) #s(hole binary64 (+ (PI) (* 2 x))))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (+ x (* 1/2 (PI)))))
#s(approx (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) #s(hole binary64 eps))
#s(approx (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) #s(hole binary64 (+ eps (* (pow eps 2) x))))
#s(approx (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) #s(hole binary64 (+ eps (* x (+ (* eps x) (pow eps 2))))))
#s(approx (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) #s(hole binary64 (+ eps (* x (+ (* x (+ eps (* eps (* x (+ eps (* 1/3 eps)))))) (pow eps 2))))))
#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (* eps x)))
#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (* x (+ eps x))))
#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (* x (+ eps (* x (+ 1 (* x (+ eps (* 1/3 eps)))))))))
#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (* x (+ eps (* x (+ 1 (* x (+ eps (+ (* 1/3 eps) (* 2/3 x))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) #s(hole binary64 (+ eps (* eps (+ (* (pow eps 2) (- (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) 1/6)) (+ (/ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))))))
#s(approx (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) #s(hole binary64 (+ (* (pow eps 2) (- (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) 1/6)) (+ (/ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (+ (* (pow eps 2) (- (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) 1/6)) (/ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x)))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6) #s(hole binary64 (- (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) 1/6)))
#s(approx (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) #s(hole binary64 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)))
#s(approx (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) #s(hole binary64 (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
#s(approx (* (sin x) (tan x)) #s(hole binary64 (/ (pow (sin x) 2) (cos x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (/ -1 (cos x)) #s(hole binary64 (/ -1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (pow (tan x) 2) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) #s(hole binary64 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)))
#s(approx (+ (* (pow (tan x) 2) -1/2) -1/2) #s(hole binary64 (- (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) 1/2)))
#s(approx (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) #s(hole binary64 (/ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x))))
#s(approx (+ (* (pow (tan x) 2) eps) eps) #s(hole binary64 (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))))
#s(approx (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) #s(hole binary64 (+ eps (* eps (+ (* (pow eps 2) (- (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) 1/6)) (+ (/ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))))))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) #s(hole binary64 (+ (* (pow eps 2) (- (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) 1/6)) (+ (/ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (+ (* (+ (* 4/3 (* eps eps)) 1) x) eps) x) (* (* eps eps) 1/3)) #s(hole binary64 (* (pow x 2) (+ 1 (* 4/3 (pow eps 2))))))
#s(approx (+ (* (+ (* (+ (* 4/3 (* eps eps)) 1) x) eps) x) (* (* eps eps) 1/3)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 4/3 (pow eps 2)) (/ eps x))))))
#s(approx (+ (* (+ (* (+ (* 4/3 (* eps eps)) 1) x) eps) x) (* (* eps eps) 1/3)) #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 (* eps eps)) 1) x) eps) #s(hole binary64 (* x (+ 1 (* 4/3 (pow eps 2))))))
#s(approx (+ (* (+ (* 4/3 (* eps eps)) 1) x) eps) #s(hole binary64 (* x (+ 1 (+ (* 4/3 (pow eps 2)) (/ eps x))))))
#s(approx (+ (* (/ (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))))) eps) eps) #s(hole binary64 (+ eps (/ (* eps (pow (sin x) 2)) (- 1/2 (* 1/2 (cos (* 2 (+ x (* 1/2 (PI)))))))))))
#s(approx (/ (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))))) #s(hole binary64 (/ (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 (+ x (* 1/2 (PI))))))))))
#s(approx (pow (sin x) 2) #s(hole binary64 (pow (sin x) 2)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x))))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 (+ x (* 1/2 (PI)))))))))
#s(approx (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))) #s(hole binary64 (* 1/2 (cos (* 2 (+ x (* 1/2 (PI))))))))
#s(approx (cos (* 2 (+ (/ (PI) 2) x))) #s(hole binary64 (cos (* 2 (+ x (* 1/2 (PI)))))))
#s(approx (* 2 (+ (/ (PI) 2) x)) #s(hole binary64 (* 2 x)))
#s(approx (* 2 (+ (/ (PI) 2) x)) #s(hole binary64 (* x (+ 2 (/ (PI) x)))))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 x))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (PI) x))))))
#s(approx (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) #s(hole binary64 (+ eps (* eps (+ (/ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (+ (/ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))))
#s(approx (+ (* (+ (* (+ (* 4/3 (* eps eps)) 1) x) eps) x) (* (* eps eps) 1/3)) #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 (* eps eps)) 1) x) eps) #s(hole binary64 (* -1 (* x (+ (* -1 (+ 1 (* 4/3 (pow eps 2)))) (* -1 (/ eps x)))))))
#s(approx (+ (* (/ (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))))) eps) eps) #s(hole binary64 (+ eps (/ (* eps (pow (sin x) 2)) (- 1/2 (* 1/2 (cos (* 2 (- (* 1/2 (PI)) (* -1 x))))))))))
#s(approx (/ (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))))) #s(hole binary64 (/ (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 (- (* 1/2 (PI)) (* -1 x)))))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x))))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 (- (* 1/2 (PI)) (* -1 x))))))))
#s(approx (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))) #s(hole binary64 (* 1/2 (cos (* 2 (- (* 1/2 (PI)) (* -1 x)))))))
#s(approx (cos (* 2 (+ (/ (PI) 2) x))) #s(hole binary64 (cos (* 2 (- (* 1/2 (PI)) (* -1 x))))))
#s(approx (* 2 (+ (/ (PI) 2) x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (PI) x)) 2)))))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (PI) 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 (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) #s(hole binary64 (* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) #s(hole binary64 (* eps (+ 1 (+ (* eps (+ (* eps (- (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) 1/6)) (/ (* (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) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) #s(hole binary64 (+ (/ (* 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) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) #s(hole binary64 (+ (* eps (+ (* eps (- (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) 1/6)) (/ (* (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) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))
#s(approx (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (* eps (+ (* eps (- (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) 1/6)) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx eps #s(hole binary64 eps))
#s(approx (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) #s(hole binary64 (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))
#s(approx (+ (* (pow (tan x) 2) eps) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (/ (sin eps) (cos eps)) #s(hole binary64 eps))
#s(approx (/ (sin eps) (cos eps)) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (/ (sin eps) (cos eps)) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))))
#s(approx (/ (sin eps) (cos eps)) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))))
#s(approx (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) #s(hole binary64 (* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
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#s(approx (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (* eps (cos x))))) 1/6))))
#s(approx (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) (* -1 (/ (+ (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x))) eps))) 1/6))))
#s(approx (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (* eps (cos x))))) 1/6))))
#s(approx (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) #s(hole binary64 (* -1 (/ (* eps (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))))
#s(approx (+ (* (pow (tan x) 2) eps) eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))))
#s(approx (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (- (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) 1/6)) (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (* eps (cos x))))))))
#s(approx (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (- (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) 1/6)) (* -1 (/ (+ (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x))) (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps))) eps)))))))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (* eps (cos x))))) 1/6))))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) (* -1 (/ (+ (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x))) eps))) 1/6))))
#s(approx (+ (* (+ (* (+ (* 4/3 (* eps eps)) 1) x) eps) x) (* (* eps eps) 1/3)) #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 (* eps eps)) 1) x) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ x eps)) 1) eps)) (* 4/3 x)))))
#s(approx (+ (* (/ (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))))) eps) eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 (+ x (* 1/2 (PI))))))))) 1)))))
#s(approx (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) #s(hole binary64 (* -1 (/ (* (pow eps 2) (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))))
#s(approx (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x))) (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps))))))
#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (* -1 (/ (* eps (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))))
#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x)))))))

Outputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 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)) (fma.f64 x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
#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)) (fma.f64 (fma.f64 x (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 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 (/.f64 (sin.f64 eps) (cos.f64 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)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (+.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.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 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps)) (cos.f64 eps))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps))))
#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) #s(hole binary64 (+ eps (* 1/3 (pow eps 3)))))
#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64) eps))
#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) #s(hole binary64 (+ eps (+ (* 1/3 (pow eps 3)) (* (pow eps 2) x)))))
#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) (fma.f64 (*.f64 eps eps) x (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64) eps)))
#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) #s(hole binary64 (+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (pow eps 2)))))))
#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) (fma.f64 (.f64 eps (fma.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) x eps)) x (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64) eps)))
#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) #s(hole binary64 (+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* x (+ (* eps (* x (+ eps (* 1/3 eps)))) (* eps (+ 1 (* 4/3 (pow eps 2)))))) (pow eps 2)))))))
#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) (fma.f64 (fma.f64 (.f64 eps (fma.f64 (.f64 #s(literal 4/3 binary64) eps) (+.f64 eps x) #s(literal 1 binary64))) x (*.f64 eps eps)) x (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64) eps)))
#s(approx (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) #s(hole binary64 (* 1/3 (pow eps 2))))
#s(approx (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) (.f64 (.f64 eps eps) #s(literal 1/3 binary64)))
#s(approx (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* eps x))))
#s(approx (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) (*.f64 eps (fma.f64 #s(literal 1/3 binary64) eps x)))
#s(approx (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2)))))))))
#s(approx (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) x eps) x (.f64 (*.f64 eps eps) #s(literal 1/3 binary64))))
#s(approx (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (+ (* 4/3 (pow eps 2)) (* x (+ eps (* 1/3 eps)))))))))))
#s(approx (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) eps) (+.f64 eps x) #s(literal 1 binary64)) x eps) x (.f64 (*.f64 eps eps) #s(literal 1/3 binary64))))
#s(approx (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (* 1/3 (pow eps 2))))
#s(approx (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (.f64 (.f64 eps eps) #s(literal 1/3 binary64)))
#s(approx (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* eps x))))
#s(approx (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (*.f64 eps (fma.f64 #s(literal 1/3 binary64) eps x)))
#s(approx (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* 4/3 (* (pow eps 2) x)))))))
#s(approx (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (fma.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) (.f64 eps eps)) x eps) x (.f64 (.f64 eps eps) #s(literal 1/3 binary64))))
#s(approx (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ (* 4/3 (pow eps 2)) (* x (+ eps (* 1/3 eps))))))))))
#s(approx (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (fma.f64 (fma.f64 (.f64 (.f64 #s(literal 4/3 binary64) eps) (+.f64 eps x)) x eps) x (.f64 (.f64 eps eps) #s(literal 1/3 binary64))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6) #s(hole binary64 1/3))
#s(approx (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6) #s(literal 1/3 binary64))
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#s(approx (tan x) x)
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#s(approx (pow (tan x) 2) (*.f64 x x))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (pow (tan x) 2) (.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
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#s(approx (pow (tan x) 2) (.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (pow (tan x) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) #s(hole binary64 -1/2))
#s(approx (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) #s(literal -1/2 binary64))
#s(approx (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) #s(hole binary64 (- (* -1/3 (pow x 2)) 1/2)))
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#s(approx (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) #s(hole binary64 (- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/2)))
#s(approx (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (fma.f64 (fma.f64 #s(literal -2/9 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x) #s(literal -1/2 binary64)))
#s(approx (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/2)))
#s(approx (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -17/135 binary64) (.f64 x x)) #s(literal 2/9 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x) #s(literal -1/2 binary64)))
#s(approx (+ (* (pow (tan x) 2) -1/2) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (pow (tan x) 2) -1/2) -1/2) #s(literal -1/2 binary64))
#s(approx (+ (* (pow (tan x) 2) -1/2) -1/2) #s(hole binary64 (- (* -1/2 (pow x 2)) 1/2)))
#s(approx (+ (* (pow (tan x) 2) -1/2) -1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
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#s(approx (+ (* (pow (tan x) 2) -1/2) -1/2) (fma.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal -1/2 binary64)))
#s(approx (+ (* (pow (tan x) 2) -1/2) -1/2) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/90 (pow x 2)) 1/3)) 1/2)) 1/2)))
#s(approx (+ (* (pow (tan x) 2) -1/2) -1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/90 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1/2 binary64)))
#s(approx (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) #s(hole binary64 (* eps x)))
#s(approx (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (*.f64 eps x))
#s(approx (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ eps (* 1/3 eps)))))))
#s(approx (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (.f64 (fma.f64 (.f64 x x) (*.f64 #s(literal 4/3 binary64) eps) eps) x))
#s(approx (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ eps (+ (* 1/3 eps) (* (pow x 2) (+ (* 2/15 eps) (+ (* 1/3 eps) (* 2/3 eps)))))))))))
#s(approx (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (.f64 (fma.f64 (fma.f64 (.f64 eps #s(literal 17/15 binary64)) (.f64 x x) (.f64 #s(literal 4/3 binary64) eps)) (*.f64 x x) eps) x))
#s(approx (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ eps (+ (* 1/3 eps) (* (pow x 2) (+ (* 2/15 eps) (+ (* 1/3 eps) (+ (* 2/3 eps) (* (pow x 2) (+ (* 17/315 eps) (+ (* 2/15 eps) (+ (* 2/9 eps) (* 17/45 eps))))))))))))))))
#s(approx (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (.f64 (fma.f64 (fma.f64 (fma.f64 eps #s(literal 17/15 binary64) (.f64 (fma.f64 #s(literal 17/315 binary64) eps (.f64 eps #s(literal 11/15 binary64))) (.f64 x x))) (.f64 x x) (.f64 #s(literal 4/3 binary64) eps)) (*.f64 x x) eps) x))
#s(approx (+ (* (pow (tan x) 2) eps) eps) #s(hole binary64 eps))
#s(approx (+ (* (pow (tan x) 2) eps) eps) eps)
#s(approx (+ (* (pow (tan x) 2) eps) eps) #s(hole binary64 (+ eps (* eps (pow x 2)))))
#s(approx (+ (* (pow (tan x) 2) eps) eps) (fma.f64 (*.f64 x x) eps eps))
#s(approx (+ (* (pow (tan x) 2) eps) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2))))))))
#s(approx (+ (* (pow (tan x) 2) eps) eps) (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 2/3 binary64) eps) (*.f64 x x) eps))
#s(approx (+ (* (pow (tan x) 2) eps) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* (pow x 2) (+ (* 17/45 (* eps (pow x 2))) (* 2/3 eps))))))))
#s(approx (+ (* (pow (tan x) 2) eps) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 17/45 binary64) (.f64 #s(literal 2/3 binary64) eps)) (.f64 x x) eps) (*.f64 x x) eps))
#s(approx (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) #s(hole binary64 (+ eps (* 1/3 (pow eps 3)))))
#s(approx (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64) eps))
#s(approx (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) #s(hole binary64 (+ eps (+ (* 1/3 (pow eps 3)) (* (pow eps 2) x)))))
#s(approx (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) (fma.f64 (*.f64 eps eps) x (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64) eps)))
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#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (* eps eps) (*.f64 eps eps))
#s(approx eps #s(hole binary64 eps))
#s(approx eps eps)
#s(approx (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) #s(hole binary64 (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))
#s(approx (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (/.f64 (.f64 (.f64 eps (sin.f64 x)) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64))) (cos.f64 x)))
#s(approx (+ (* (pow (tan x) 2) eps) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (pow (tan x) 2) eps) eps) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps))
#s(approx (/ (sin eps) (cos eps)) #s(hole binary64 eps))
#s(approx (/ (sin eps) (cos eps)) eps)
#s(approx (/ (sin eps) (cos eps)) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (/ (sin eps) (cos eps)) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))
#s(approx (/ (sin eps) (cos eps)) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))))
#s(approx (/ (sin eps) (cos 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 (/ (sin eps) (cos eps)) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))))
#s(approx (/ (sin eps) (cos 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 (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps))
#s(approx (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) 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 (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) (fma.f64 (fma.f64 eps (/.f64 (*.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (sin.f64 x)) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps eps))
#s(approx (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) #s(hole binary64 (* eps (+ 1 (+ (* eps (+ (* eps (- (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) 1/6)) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) (fma.f64 (fma.f64 (fma.f64 (-.f64 (neg.f64 (+.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64) (/.f64 (.f64 (fma.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) (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 1/6 binary64)) eps (/.f64 (.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #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)))) eps eps))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) #s(hole binary64 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) (fma.f64 eps (/.f64 (*.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (sin.f64 x)) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) #s(hole binary64 (+ (* eps (+ (* eps (- (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) 1/6)) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (+.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64) (/.f64 (.f64 (fma.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) (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 1/6 binary64)) eps (/.f64 (.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #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(approx (+ (* (+ (* (+ (* 4/3 (* eps eps)) 1) x) eps) x) (* (* eps eps) 1/3)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (+ (* (+ (* 4/3 (* eps eps)) 1) x) eps) x) (* (* eps eps) 1/3)) (*.f64 x x))
#s(approx (+ (* (+ (* (+ (* 4/3 (* eps eps)) 1) x) eps) x) (* (* eps eps) 1/3)) #s(hole binary64 (+ (* eps x) (pow x 2))))
#s(approx (+ (* (+ (* (+ (* 4/3 (* eps eps)) 1) x) eps) x) (* (* eps eps) 1/3)) (*.f64 (+.f64 eps x) x))
#s(approx (+ (* (+ (* (+ (* 4/3 (* eps eps)) 1) x) eps) x) (* (* eps eps) 1/3)) #s(hole binary64 (+ (* eps (+ x (* eps (+ 1/3 (* 4/3 (pow x 2)))))) (pow x 2))))
#s(approx (+ (* (+ (* (+ (* 4/3 (* eps eps)) 1) x) eps) x) (* (* eps eps) 1/3)) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1/3 binary64)) eps x) eps (.f64 x x)))
#s(approx (+ (* (+ (* 4/3 (* eps eps)) 1) x) eps) #s(hole binary64 x))
#s(approx (+ (* (+ (* 4/3 (* eps eps)) 1) x) eps) x)
#s(approx (+ (* (+ (* 4/3 (* eps eps)) 1) x) eps) #s(hole binary64 (+ eps x)))
#s(approx (+ (* (+ (* 4/3 (* eps eps)) 1) x) eps) (+.f64 eps x))
#s(approx (+ (* (+ (* 4/3 (* eps eps)) 1) x) eps) #s(hole binary64 (+ x (* eps (+ 1 (* 4/3 (* eps x)))))))
#s(approx (+ (* (+ (* 4/3 (* eps eps)) 1) x) eps) (fma.f64 (fma.f64 (*.f64 eps x) #s(literal 4/3 binary64) #s(literal 1 binary64)) eps x))
#s(approx (+ (* 4/3 (* eps eps)) 1) #s(hole binary64 1))
#s(approx (+ (* 4/3 (* eps eps)) 1) #s(literal 1 binary64))
#s(approx (+ (* 4/3 (* eps eps)) 1) #s(hole binary64 (+ 1 (* 4/3 (pow eps 2)))))
#s(approx (+ (* 4/3 (* eps eps)) 1) (fma.f64 #s(literal 4/3 binary64) (*.f64 eps eps) #s(literal 1 binary64)))
#s(approx (* (* eps eps) 1/3) #s(hole binary64 (* 1/3 (pow eps 2))))
#s(approx (* (* eps eps) 1/3) (.f64 (.f64 eps eps) #s(literal 1/3 binary64)))
#s(approx (+ (* (/ (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))))) eps) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 (+ x (* 1/2 (PI))))))))))))
#s(approx (+ (* (/ (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))))) eps) eps) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (cos.f64 (.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) #s(literal -2 binary64)))))) eps eps))
#s(approx (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps))
#s(approx (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) #s(hole binary64 (* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) (fma.f64 (fma.f64 eps (/.f64 (*.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (sin.f64 x)) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps eps))
#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (fma.f64 eps (/.f64 (*.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (sin.f64 x)) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) #s(hole binary64 (* (pow eps 3) (- (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) 1/6))))
#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) (.f64 (-.f64 (neg.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64) (/.f64 (.f64 (fma.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) (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 1/2 binary64))) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) #s(hole binary64 (* (pow eps 3) (- (+ (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x)))) 1/6))))
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#s(approx (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (- (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) 1/6)) (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (* eps (cos x))))))))
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#s(approx (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (- (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) 1/6)) (* -1 (/ (+ (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x))) (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps))) eps)))))))
#s(approx (+ (* (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) eps) eps) (.f64 (neg.f64 (pow.f64 eps #s(literal 3 binary64))) (neg.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (sin.f64 x) (/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (cos.f64 x)) (/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) eps))) eps) (-.f64 (neg.f64 (+.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64) (/.f64 (.f64 (fma.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) (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 1/6 binary64))))))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (* eps (cos x))))) 1/6))))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) (.f64 (-.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (cos.f64 x)) (/.f64 (sin.f64 x) eps) (+.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64) (/.f64 (.f64 (fma.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) (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 1/6 binary64)) (*.f64 eps eps)))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) (* -1 (/ (+ (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x))) eps))) 1/6))))
#s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) (.f64 (-.f64 (-.f64 (neg.f64 (+.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64) (/.f64 (.f64 (fma.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) (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)))))) (/.f64 (fma.f64 (sin.f64 x) (/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (cos.f64 x)) (/.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)) #s(literal 1/6 binary64)) (*.f64 eps eps)))
#s(approx (+ (* (+ (* (+ (* 4/3 (* eps eps)) 1) x) eps) x) (* (* eps eps) 1/3)) #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 (* eps eps)) 1) x) eps) x) (* (* eps eps) 1/3)) (.f64 (fma.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (.f64 x x) eps) x)) eps) #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1/3 binary64))) (.f64 eps eps)))
#s(approx (+ (* (+ (* 4/3 (* eps eps)) 1) x) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ x eps)) 1) eps)) (* 4/3 x)))))
#s(approx (+ (* (+ (* 4/3 (* eps eps)) 1) x) eps) (.f64 (fma.f64 #s(literal 4/3 binary64) x (/.f64 (fma.f64 (/.f64 x eps) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 eps))) (.f64 eps eps)))
#s(approx (+ (* (/ (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))))) eps) eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 (+ x (* 1/2 (PI))))))))) 1)))))
#s(approx (+ (* (/ (pow (sin x) 2) (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))))) eps) eps) (.f64 (neg.f64 eps) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) #s(literal -2 binary64)))))) #s(literal -1 binary64) #s(literal -1 binary64))))
#s(approx (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) #s(hole binary64 (* -1 (/ (* (pow eps 2) (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))))
#s(approx (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) (.f64 (.f64 (neg.f64 eps) eps) (/.f64 (*.f64 (fma.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (sin.f64 x)) (cos.f64 x))))
#s(approx (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x))) (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps))))))
#s(approx (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) (.f64 (neg.f64 (fma.f64 (sin.f64 x) (/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (cos.f64 x)) (/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) eps))) (.f64 eps eps)))
#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (* -1 (/ (* eps (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))))
#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (.f64 (neg.f64 eps) (/.f64 (.f64 (fma.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (sin.f64 x)) (cos.f64 x))))
#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x)))))))
#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (*.f64 (neg.f64 eps) (fma.f64 (sin.f64 x) (/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (cos.f64 x)) (/.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))

rewrite263.0ms (2.3%)

Memory

-83.1MiB live, 233.3MiB allocated; 81ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	895
0	141	832
1	683	690
0	6471	674

Stop Event

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

Counts

52 → 897

Calls

Call 1

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

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

eval503.0ms (4.4%)

Memory: -8.0MiB live, 364.9MiB allocated; 53ms collecting garbage
Compiler: Compiled 110 206 to 8 937 computations (91.9% saved)

prune63.0ms (0.5%)

Memory

22.3MiB live, 120.0MiB allocated; 8ms collecting garbage

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	1 620	12	1 632
Fresh	10	11	21
Picked	4	1	5
Done	0	1	1
Total	1 634	25	1 659

Accuracy

100.0%

Counts

1 659 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.7%	(fma.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 2 binary64)))) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal 1 binary64)) (-.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x)))
	64.8%	(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 x)))) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (tan.f64 x)))) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x)))))
	64.7%	(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (sin.f64 x))) (*.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
	64.7%	(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x))
	6.8%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
✓	64.6%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶	99.5%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (.f64 #s(approx (+ ( (pow (tan x) 2) eps) eps) eps) (tan.f64 x))) eps eps))
	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(approx (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (.f64 (fma.f64 (fma.f64 (.f64 eps #s(literal 17/15 binary64)) (.f64 x x) (.f64 #s(literal 4/3 binary64) eps)) (*.f64 x x) eps) x))) eps eps))
	99.2%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(approx (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (.f64 (fma.f64 (.f64 x x) (*.f64 #s(literal 4/3 binary64) eps) eps) x))) eps eps))
▶	99.4%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(approx (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (*.f64 eps x))) eps eps))
	99.4%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
	99.4%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (fma.f64 (cos.f64 (.f64 #s(literal -2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))))) eps eps))
	99.4%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))))) eps eps))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (*.f64 eps x)) (cos.f64 x)) eps eps))
▶	99.8%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (+.f64 (fma.f64 (.f64 eps eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(approx (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) #s(literal -1/2 binary64))) #s(literal -1 binary64) #s(literal -1/6 binary64)) (*.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (tan.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
	99.7%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (*.f64 eps (tan.f64 x)) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) eps (tan.f64 x)) eps))
▶	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (*.f64 x x)) eps eps))
	99.0%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (*.f64 (+.f64 eps x) x)) eps eps))
▶	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (*.f64 eps x)) eps eps))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) (*.f64 eps (fma.f64 #s(literal 1/3 binary64) eps x))) eps eps))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) (fma.f64 (fma.f64 #s(approx (+ (* 4/3 (* eps eps)) 1) (.f64 #s(literal 4/3 binary64) (.f64 eps eps))) x eps) x (.f64 (.f64 eps eps) #s(literal 1/3 binary64)))) eps eps))
	99.0%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) (fma.f64 #s(approx (+ (* (+ (* 4/3 (* eps eps)) 1) x) eps) (+.f64 eps x)) x (.f64 (.f64 eps eps) #s(literal 1/3 binary64)))) eps eps))
	99.7%	#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 eps (.f64 (neg.f64 (.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) eps (tan.f64 x)) (tan.f64 x))) eps)))
✓	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) eps))

Compiler

Compiled 1 942 to 1 051 computations (45.9% saved)

series72.0ms (0.6%)

Memory

-29.0MiB live, 107.6MiB allocated; 9ms collecting garbage

Counts

45 → 184

Calls

Call 1

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

Outputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) #s(hole binary64 (+ eps (* 1/3 (pow eps 3)))))
#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) #s(hole binary64 (+ eps (+ (* 1/3 (pow eps 3)) (* (pow eps 2) x)))))
#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) #s(hole binary64 (+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (pow eps 2)))))))
#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) #s(hole binary64 (+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* x (+ (* eps (* x (+ eps (* 1/3 eps)))) (* eps (+ 1 (* 4/3 (pow eps 2)))))) (pow eps 2)))))))
#s(approx (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) #s(hole binary64 (* 1/3 (pow eps 2))))
#s(approx (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* eps x))))
#s(approx (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2)))))))))
#s(approx (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (+ (* 4/3 (pow eps 2)) (* x (+ eps (* 1/3 eps)))))))))))
#s(approx (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (* 1/3 (pow eps 2))))
#s(approx (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* eps x))))
#s(approx (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* 4/3 (* (pow eps 2) x)))))))
#s(approx (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ (* 4/3 (pow eps 2)) (* x (+ eps (* 1/3 eps))))))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6) #s(hole binary64 1/3))
#s(approx (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6) #s(hole binary64 (+ 1/3 (* 4/3 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 4/3 (* 17/9 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/9 (* 248/135 (pow x 2)))))))))
#s(approx (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) #s(hole binary64 -1/2))
#s(approx (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) #s(hole binary64 (- (* -4/3 (pow x 2)) 1/2)))
#s(approx (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) #s(hole binary64 (- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/2)))
#s(approx (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/2)))
#s(approx (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) #s(hole binary64 -1))
#s(approx (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) #s(hole binary64 (- (* -1 (pow x 2)) 1)))
#s(approx (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) #s(hole binary64 (- (* (pow x 2) (- (* -2/3 (pow x 2)) 1)) 1)))
#s(approx (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)) 1)))
#s(approx (* (sin x) (tan x)) #s(hole binary64 (pow x 2)))
#s(approx (* (sin x) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/6 (pow x 2))))))
#s(approx (* (sin x) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* 31/360 (pow x 2))))))))
#s(approx (* (sin x) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 31/360 (* 173/5040 (pow x 2))))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (/ -1 (cos x)) #s(hole binary64 -1))
#s(approx (/ -1 (cos x)) #s(hole binary64 (- (* -1/2 (pow x 2)) 1)))
#s(approx (/ -1 (cos x)) #s(hole binary64 (- (* (pow x 2) (- (* -5/24 (pow x 2)) 1/2)) 1)))
#s(approx (/ -1 (cos x)) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -61/720 (pow x 2)) 5/24)) 1/2)) 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 (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 (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) #s(hole binary64 -1/2))
#s(approx (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) #s(hole binary64 (- (* -1/3 (pow x 2)) 1/2)))
#s(approx (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) #s(hole binary64 (- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/2)))
#s(approx (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) #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) eps) eps) (tan x)) #s(hole binary64 (* eps x)))
#s(approx (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ eps (* 1/3 eps)))))))
#s(approx (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ eps (+ (* 1/3 eps) (* (pow x 2) (+ (* 2/15 eps) (+ (* 1/3 eps) (* 2/3 eps)))))))))))
#s(approx (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ eps (+ (* 1/3 eps) (* (pow x 2) (+ (* 2/15 eps) (+ (* 1/3 eps) (+ (* 2/3 eps) (* (pow x 2) (+ (* 17/315 eps) (+ (* 2/15 eps) (+ (* 2/9 eps) (* 17/45 eps))))))))))))))))
#s(approx (+ (* (pow (tan x) 2) eps) eps) #s(hole binary64 eps))
#s(approx (+ (* (pow (tan x) 2) eps) eps) #s(hole binary64 (+ eps (* eps (pow x 2)))))
#s(approx (+ (* (pow (tan x) 2) eps) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2))))))))
#s(approx (+ (* (pow (tan x) 2) eps) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* (pow x 2) (+ (* 17/45 (* eps (pow x 2))) (* 2/3 eps))))))))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 eps))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 (+ eps (* (pow eps 2) x))))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 (+ eps (* x (+ (* eps x) (pow eps 2))))))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 (+ eps (* x (+ (* x (+ eps (* x (- (* eps (+ eps (* -1/6 eps))) (* -1/2 (pow eps 2)))))) (pow eps 2))))))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) #s(hole binary64 (* eps x)))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) #s(hole binary64 (* x (+ eps x))))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) #s(hole binary64 (* x (+ eps (* x (+ 1 (* x (- (+ eps (* -1/6 eps)) (* -1/2 eps)))))))))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) #s(hole binary64 (* x (+ eps (* x (+ 1 (* x (- (+ eps (+ (* -1/6 eps) (* 2/3 x))) (* -1/2 eps)))))))))
#s(approx (* eps x) #s(hole binary64 (* eps x)))
#s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) #s(hole binary64 eps))
#s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) #s(hole binary64 (+ eps (* eps (pow x 2)))))
#s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (* -1/3 eps) (* -1 eps))))))))
#s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (+ (* -1/3 eps) (* (pow x 2) (- (* 2/45 eps) (+ (* -1 (- (* -1/3 eps) (* -1 eps))) (* 1/3 eps))))) (* -1 eps))))))))
#s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) #s(hole binary64 (pow x 2)))
#s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (/ (pow (sin x) 2) (pow (cos 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 (* (* (+ (* 2/3 (* x x)) 1) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* 2/3 (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (* (+ (* 2/3 (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* 2/3 (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* 2/3 (pow x 2))))))
#s(approx (+ (* 2/3 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* 2/3 (* x x)) 1) #s(hole binary64 (+ 1 (* 2/3 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) #s(hole binary64 eps))
#s(approx (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) #s(hole binary64 (+ eps (* (pow eps 2) x))))
#s(approx (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) #s(hole binary64 (+ eps (* x (+ (* eps x) (pow eps 2))))))
#s(approx (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) #s(hole binary64 (+ eps (* x (+ (* x (+ eps (* eps (* x (+ eps (* 1/3 eps)))))) (pow eps 2))))))
#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (* eps x)))
#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (* x (+ eps x))))
#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (* x (+ eps (* x (+ 1 (* x (+ eps (* 1/3 eps)))))))))
#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (* x (+ eps (* x (+ 1 (* x (+ eps (+ (* 1/3 eps) (* 2/3 x))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) #s(hole binary64 (+ eps (* eps (+ (* (pow eps 2) (- (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) 1/6)) (+ (/ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))))))
#s(approx (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) #s(hole binary64 (+ (* (pow eps 2) (- (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) 1/6)) (+ (/ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (+ (* (pow eps 2) (- (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) 1/6)) (/ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x)))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6) #s(hole binary64 (- (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) 1/6)))
#s(approx (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) #s(hole binary64 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)))
#s(approx (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) #s(hole binary64 (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
#s(approx (* (sin x) (tan x)) #s(hole binary64 (/ (pow (sin x) 2) (cos x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (/ -1 (cos x)) #s(hole binary64 (/ -1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (pow (tan x) 2) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) #s(hole binary64 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)))
#s(approx (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) #s(hole binary64 (/ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x))))
#s(approx (+ (* (pow (tan x) 2) eps) eps) #s(hole binary64 (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 (+ eps (/ (* eps (+ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (/ (pow (sin x) 2) (cos x)))) (cos x)))))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) #s(hole binary64 (/ (+ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (/ (pow (sin x) 2) (cos x))) (cos x))))
#s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) #s(hole binary64 (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))))
#s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (* (* (+ (* 2/3 (* x x)) 1) x) x) #s(hole binary64 (* 2/3 (pow x 4))))
#s(approx (* (* (+ (* 2/3 (* x x)) 1) x) x) #s(hole binary64 (* (pow x 4) (+ 2/3 (/ 1 (pow x 2))))))
#s(approx (* (+ (* 2/3 (* x x)) 1) x) #s(hole binary64 (* 2/3 (pow x 3))))
#s(approx (* (+ (* 2/3 (* x x)) 1) x) #s(hole binary64 (* (pow x 3) (+ 2/3 (/ 1 (pow x 2))))))
#s(approx (+ (* 2/3 (* x x)) 1) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (+ (* 2/3 (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 2/3 (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) #s(hole binary64 (+ eps (* eps (+ (/ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (+ (/ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) #s(hole binary64 (* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) #s(hole binary64 (* eps (+ 1 (+ (* eps (+ (* eps (- (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) 1/6)) (/ (* (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) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) #s(hole binary64 (+ (/ (* 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) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) #s(hole binary64 (+ (* eps (+ (* eps (- (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) 1/6)) (/ (* (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) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))
#s(approx (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (* eps (+ (* eps (- (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) 1/6)) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx eps #s(hole binary64 eps))
#s(approx (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) #s(hole binary64 (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))
#s(approx (+ (* (pow (tan x) 2) eps) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) 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 (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) #s(hole binary64 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) #s(hole binary64 (* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (+ (/ (* 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) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) #s(hole binary64 (* (pow eps 3) (- (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) 1/6))))
#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) #s(hole binary64 (* (pow eps 3) (- (+ (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x)))) 1/6))))
#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) #s(hole binary64 (* (pow eps 3) (- (+ (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) (+ (/ 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)))))) 1/6))))
#s(approx (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) #s(hole binary64 (* (pow eps 2) (- (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) 1/6))))
#s(approx (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x)))) 1/6))))
#s(approx (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) (+ (/ (* (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))))) 1/6))))
#s(approx (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (* (pow eps 2) (- (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) 1/6))))
#s(approx (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x)))) 1/6))))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 (/ (* (pow eps 2) (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 (* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) #s(hole binary64 (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) #s(hole binary64 (* eps (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
#s(approx (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) #s(hole binary64 (/ (* (pow eps 2) (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))
#s(approx (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) #s(hole binary64 (* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))))
#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))
#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (* eps (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))))
#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (- (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) 1/6)) (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (* eps (cos x))))))))
#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (- (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) 1/6)) (* -1 (/ (+ (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x))) (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps))) eps)))))))
#s(approx (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (* eps (cos x))))) 1/6))))
#s(approx (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) (* -1 (/ (+ (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x))) eps))) 1/6))))
#s(approx (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (* eps (cos x))))) 1/6))))
#s(approx (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) #s(hole binary64 (* -1 (/ (* eps (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))))
#s(approx (+ (* (pow (tan x) 2) eps) eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 (* -1 (/ (* (pow eps 2) (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x))) (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps))))))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) #s(hole binary64 (* -1 (/ (* eps (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x)))))))
#s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))))
#s(approx (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) #s(hole binary64 (* -1 (/ (* (pow eps 2) (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))))
#s(approx (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x))) (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps))))))
#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (* -1 (/ (* eps (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))))
#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x)))))))

Calls

6 calls:

Time	Variable		Point	Expression
27.0ms	x	@	-inf	((- (tan (+ x eps)) (tan x)) (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (* eps eps) eps (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6) (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (* (sin x) (tan x)) (sin x) x (tan x) (/ -1 (cos x)) -1 (cos x) (pow (tan x) 2) 2 (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) -1/2 -1/6 (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (+ (* (pow (tan x) 2) eps) eps) (- (tan (+ x eps)) (tan x)) (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (* eps x) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (* (* (+ (* 2/3 (* x x)) 1) x) x) (* (+ (* 2/3 (* x x)) 1) x) (+ (* 2/3 (* x x)) 1) 2/3 (* x x) 1 (- (tan (+ x eps)) (tan x)) (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (- (tan (+ x eps)) (tan x)) (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (+ (* (pow (tan x) 2) eps) eps))
14.0ms	x	@	inf	((- (tan (+ x eps)) (tan x)) (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (* eps eps) eps (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6) (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (* (sin x) (tan x)) (sin x) x (tan x) (/ -1 (cos x)) -1 (cos x) (pow (tan x) 2) 2 (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) -1/2 -1/6 (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (+ (* (pow (tan x) 2) eps) eps) (- (tan (+ x eps)) (tan x)) (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (* eps x) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (* (* (+ (* 2/3 (* x x)) 1) x) x) (* (+ (* 2/3 (* x x)) 1) x) (+ (* 2/3 (* x x)) 1) 2/3 (* x x) 1 (- (tan (+ x eps)) (tan x)) (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (- (tan (+ x eps)) (tan x)) (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (+ (* (pow (tan x) 2) eps) eps))
7.0ms	eps	@	-inf	((- (tan (+ x eps)) (tan x)) (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (* eps eps) eps (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6) (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (* (sin x) (tan x)) (sin x) x (tan x) (/ -1 (cos x)) -1 (cos x) (pow (tan x) 2) 2 (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) -1/2 -1/6 (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (+ (* (pow (tan x) 2) eps) eps) (- (tan (+ x eps)) (tan x)) (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (* eps x) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (* (* (+ (* 2/3 (* x x)) 1) x) x) (* (+ (* 2/3 (* x x)) 1) x) (+ (* 2/3 (* x x)) 1) 2/3 (* x x) 1 (- (tan (+ x eps)) (tan x)) (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (- (tan (+ x eps)) (tan x)) (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (+ (* (pow (tan x) 2) eps) eps))
6.0ms	eps	@	inf	((- (tan (+ x eps)) (tan x)) (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (* eps eps) eps (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6) (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (* (sin x) (tan x)) (sin x) x (tan x) (/ -1 (cos x)) -1 (cos x) (pow (tan x) 2) 2 (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) -1/2 -1/6 (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (+ (* (pow (tan x) 2) eps) eps) (- (tan (+ x eps)) (tan x)) (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (* eps x) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (* (* (+ (* 2/3 (* x x)) 1) x) x) (* (+ (* 2/3 (* x x)) 1) x) (+ (* 2/3 (* x x)) 1) 2/3 (* x x) 1 (- (tan (+ x eps)) (tan x)) (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (- (tan (+ x eps)) (tan x)) (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (+ (* (pow (tan x) 2) eps) eps))
6.0ms	eps	@	0	((- (tan (+ x eps)) (tan x)) (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (* eps eps) eps (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6) (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (* (sin x) (tan x)) (sin x) x (tan x) (/ -1 (cos x)) -1 (cos x) (pow (tan x) 2) 2 (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) -1/2 -1/6 (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (+ (* (pow (tan x) 2) eps) eps) (- (tan (+ x eps)) (tan x)) (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (* eps x) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (* (* (+ (* 2/3 (* x x)) 1) x) x) (* (+ (* 2/3 (* x x)) 1) x) (+ (* 2/3 (* x x)) 1) 2/3 (* x x) 1 (- (tan (+ x eps)) (tan x)) (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (- (tan (+ x eps)) (tan x)) (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (+ (* (pow (tan x) 2) eps) eps))

simplify229.0ms (2%)

Memory

14.0MiB live, 253.9MiB allocated; 83ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	767	8289
1	2204	7760
0	9481	7183

Stop Event

1×	iter limit
1×	node limit

Counts

184 → 184

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) #s(hole binary64 (+ eps (* 1/3 (pow eps 3)))))
#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) #s(hole binary64 (+ eps (+ (* 1/3 (pow eps 3)) (* (pow eps 2) x)))))
#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) #s(hole binary64 (+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (pow eps 2)))))))
#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) #s(hole binary64 (+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* x (+ (* eps (* x (+ eps (* 1/3 eps)))) (* eps (+ 1 (* 4/3 (pow eps 2)))))) (pow eps 2)))))))
#s(approx (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) #s(hole binary64 (* 1/3 (pow eps 2))))
#s(approx (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* eps x))))
#s(approx (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2)))))))))
#s(approx (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (+ (* 4/3 (pow eps 2)) (* x (+ eps (* 1/3 eps)))))))))))
#s(approx (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (* 1/3 (pow eps 2))))
#s(approx (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* eps x))))
#s(approx (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* 4/3 (* (pow eps 2) x)))))))
#s(approx (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ (* 4/3 (pow eps 2)) (* x (+ eps (* 1/3 eps))))))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6) #s(hole binary64 1/3))
#s(approx (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6) #s(hole binary64 (+ 1/3 (* 4/3 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 4/3 (* 17/9 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/9 (* 248/135 (pow x 2)))))))))
#s(approx (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) #s(hole binary64 -1/2))
#s(approx (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) #s(hole binary64 (- (* -4/3 (pow x 2)) 1/2)))
#s(approx (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) #s(hole binary64 (- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/2)))
#s(approx (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/2)))
#s(approx (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) #s(hole binary64 -1))
#s(approx (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) #s(hole binary64 (- (* -1 (pow x 2)) 1)))
#s(approx (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) #s(hole binary64 (- (* (pow x 2) (- (* -2/3 (pow x 2)) 1)) 1)))
#s(approx (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)) 1)))
#s(approx (* (sin x) (tan x)) #s(hole binary64 (pow x 2)))
#s(approx (* (sin x) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/6 (pow x 2))))))
#s(approx (* (sin x) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* 31/360 (pow x 2))))))))
#s(approx (* (sin x) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 31/360 (* 173/5040 (pow x 2))))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (/ -1 (cos x)) #s(hole binary64 -1))
#s(approx (/ -1 (cos x)) #s(hole binary64 (- (* -1/2 (pow x 2)) 1)))
#s(approx (/ -1 (cos x)) #s(hole binary64 (- (* (pow x 2) (- (* -5/24 (pow x 2)) 1/2)) 1)))
#s(approx (/ -1 (cos x)) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -61/720 (pow x 2)) 5/24)) 1/2)) 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 (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 (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) #s(hole binary64 -1/2))
#s(approx (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) #s(hole binary64 (- (* -1/3 (pow x 2)) 1/2)))
#s(approx (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) #s(hole binary64 (- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/2)))
#s(approx (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) #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) eps) eps) (tan x)) #s(hole binary64 (* eps x)))
#s(approx (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ eps (* 1/3 eps)))))))
#s(approx (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ eps (+ (* 1/3 eps) (* (pow x 2) (+ (* 2/15 eps) (+ (* 1/3 eps) (* 2/3 eps)))))))))))
#s(approx (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ eps (+ (* 1/3 eps) (* (pow x 2) (+ (* 2/15 eps) (+ (* 1/3 eps) (+ (* 2/3 eps) (* (pow x 2) (+ (* 17/315 eps) (+ (* 2/15 eps) (+ (* 2/9 eps) (* 17/45 eps))))))))))))))))
#s(approx (+ (* (pow (tan x) 2) eps) eps) #s(hole binary64 eps))
#s(approx (+ (* (pow (tan x) 2) eps) eps) #s(hole binary64 (+ eps (* eps (pow x 2)))))
#s(approx (+ (* (pow (tan x) 2) eps) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2))))))))
#s(approx (+ (* (pow (tan x) 2) eps) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* (pow x 2) (+ (* 17/45 (* eps (pow x 2))) (* 2/3 eps))))))))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 eps))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 (+ eps (* (pow eps 2) x))))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 (+ eps (* x (+ (* eps x) (pow eps 2))))))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 (+ eps (* x (+ (* x (+ eps (* x (- (* eps (+ eps (* -1/6 eps))) (* -1/2 (pow eps 2)))))) (pow eps 2))))))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) #s(hole binary64 (* eps x)))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) #s(hole binary64 (* x (+ eps x))))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) #s(hole binary64 (* x (+ eps (* x (+ 1 (* x (- (+ eps (* -1/6 eps)) (* -1/2 eps)))))))))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) #s(hole binary64 (* x (+ eps (* x (+ 1 (* x (- (+ eps (+ (* -1/6 eps) (* 2/3 x))) (* -1/2 eps)))))))))
#s(approx (* eps x) #s(hole binary64 (* eps x)))
#s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) #s(hole binary64 eps))
#s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) #s(hole binary64 (+ eps (* eps (pow x 2)))))
#s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (* -1/3 eps) (* -1 eps))))))))
#s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (+ (* -1/3 eps) (* (pow x 2) (- (* 2/45 eps) (+ (* -1 (- (* -1/3 eps) (* -1 eps))) (* 1/3 eps))))) (* -1 eps))))))))
#s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) #s(hole binary64 (pow x 2)))
#s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (/ (pow (sin x) 2) (pow (cos 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 (* (* (+ (* 2/3 (* x x)) 1) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* 2/3 (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (* (+ (* 2/3 (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* 2/3 (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* 2/3 (pow x 2))))))
#s(approx (+ (* 2/3 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* 2/3 (* x x)) 1) #s(hole binary64 (+ 1 (* 2/3 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) #s(hole binary64 eps))
#s(approx (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) #s(hole binary64 (+ eps (* (pow eps 2) x))))
#s(approx (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) #s(hole binary64 (+ eps (* x (+ (* eps x) (pow eps 2))))))
#s(approx (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) #s(hole binary64 (+ eps (* x (+ (* x (+ eps (* eps (* x (+ eps (* 1/3 eps)))))) (pow eps 2))))))
#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (* eps x)))
#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (* x (+ eps x))))
#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (* x (+ eps (* x (+ 1 (* x (+ eps (* 1/3 eps)))))))))
#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (* x (+ eps (* x (+ 1 (* x (+ eps (+ (* 1/3 eps) (* 2/3 x))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) #s(hole binary64 (+ eps (* eps (+ (* (pow eps 2) (- (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) 1/6)) (+ (/ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))))))
#s(approx (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) #s(hole binary64 (+ (* (pow eps 2) (- (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) 1/6)) (+ (/ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (+ (* (pow eps 2) (- (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) 1/6)) (/ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x)))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6) #s(hole binary64 (- (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) 1/6)))
#s(approx (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) #s(hole binary64 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)))
#s(approx (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) #s(hole binary64 (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
#s(approx (* (sin x) (tan x)) #s(hole binary64 (/ (pow (sin x) 2) (cos x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (/ -1 (cos x)) #s(hole binary64 (/ -1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (pow (tan x) 2) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) #s(hole binary64 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)))
#s(approx (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) #s(hole binary64 (/ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x))))
#s(approx (+ (* (pow (tan x) 2) eps) eps) #s(hole binary64 (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 (+ eps (/ (* eps (+ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (/ (pow (sin x) 2) (cos x)))) (cos x)))))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) #s(hole binary64 (/ (+ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (/ (pow (sin x) 2) (cos x))) (cos x))))
#s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) #s(hole binary64 (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))))
#s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (* (* (+ (* 2/3 (* x x)) 1) x) x) #s(hole binary64 (* 2/3 (pow x 4))))
#s(approx (* (* (+ (* 2/3 (* x x)) 1) x) x) #s(hole binary64 (* (pow x 4) (+ 2/3 (/ 1 (pow x 2))))))
#s(approx (* (+ (* 2/3 (* x x)) 1) x) #s(hole binary64 (* 2/3 (pow x 3))))
#s(approx (* (+ (* 2/3 (* x x)) 1) x) #s(hole binary64 (* (pow x 3) (+ 2/3 (/ 1 (pow x 2))))))
#s(approx (+ (* 2/3 (* x x)) 1) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (+ (* 2/3 (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 2/3 (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) #s(hole binary64 (+ eps (* eps (+ (/ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (+ (/ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) #s(hole binary64 (* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) #s(hole binary64 (* eps (+ 1 (+ (* eps (+ (* eps (- (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) 1/6)) (/ (* (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) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) #s(hole binary64 (+ (/ (* 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) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) #s(hole binary64 (+ (* eps (+ (* eps (- (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) 1/6)) (/ (* (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) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))
#s(approx (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (* eps (+ (* eps (- (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) 1/6)) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx eps #s(hole binary64 eps))
#s(approx (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) #s(hole binary64 (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))
#s(approx (+ (* (pow (tan x) 2) eps) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) 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 (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) #s(hole binary64 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) #s(hole binary64 (* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (+ (/ (* 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) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) #s(hole binary64 (* (pow eps 3) (- (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) 1/6))))
#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) #s(hole binary64 (* (pow eps 3) (- (+ (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x)))) 1/6))))
#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) #s(hole binary64 (* (pow eps 3) (- (+ (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) (+ (/ 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)))))) 1/6))))
#s(approx (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) #s(hole binary64 (* (pow eps 2) (- (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) 1/6))))
#s(approx (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x)))) 1/6))))
#s(approx (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) (+ (/ (* (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))))) 1/6))))
#s(approx (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (* (pow eps 2) (- (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) 1/6))))
#s(approx (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (cos x)))) 1/6))))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 (/ (* (pow eps 2) (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 (* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) #s(hole binary64 (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) #s(hole binary64 (* eps (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
#s(approx (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) #s(hole binary64 (/ (* (pow eps 2) (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))
#s(approx (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) #s(hole binary64 (* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))))
#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))
#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (* eps (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))))
#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (- (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) 1/6)) (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (* eps (cos x))))))))
#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (- (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) 1/6)) (* -1 (/ (+ (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x))) (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps))) eps)))))))
#s(approx (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (* eps (cos x))))) 1/6))))
#s(approx (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) (* -1 (/ (+ (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x))) eps))) 1/6))))
#s(approx (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (* eps (cos x))))) 1/6))))
#s(approx (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) #s(hole binary64 (* -1 (/ (* eps (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))))
#s(approx (+ (* (pow (tan x) 2) eps) eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 (* -1 (/ (* (pow eps 2) (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x))) (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps))))))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) #s(hole binary64 (* -1 (/ (* eps (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x)))))))
#s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))))
#s(approx (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) #s(hole binary64 (* -1 (/ (* (pow eps 2) (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))))
#s(approx (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x))) (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps))))))
#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (* -1 (/ (* eps (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))))
#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x)))))))

Outputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
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#s(approx (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (+ (* 4/3 (pow eps 2)) (* x (+ eps (* 1/3 eps)))))))))))
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#s(approx (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (* 1/3 (pow eps 2))))
#s(approx (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (.f64 (.f64 #s(literal 1/3 binary64) eps) eps))
#s(approx (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* eps x))))
#s(approx (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (fma.f64 (.f64 #s(literal 1/3 binary64) eps) eps (.f64 eps x)))
#s(approx (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* 4/3 (* (pow eps 2) x)))))))
#s(approx (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (fma.f64 (fma.f64 (.f64 eps x) (.f64 #s(literal 4/3 binary64) eps) eps) x (.f64 (.f64 #s(literal 1/3 binary64) eps) eps)))
#s(approx (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ (* 4/3 (pow eps 2)) (* x (+ eps (* 1/3 eps))))))))))
#s(approx (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) eps) eps (.f64 (.f64 #s(literal 4/3 binary64) eps) x)) x eps) x (.f64 (*.f64 #s(literal 1/3 binary64) eps) eps)))
#s(approx (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6) #s(hole binary64 1/3))
#s(approx (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6) #s(literal 1/3 binary64))
#s(approx (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6) #s(hole binary64 (+ 1/3 (* 4/3 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6) (fma.f64 (*.f64 x x) #s(literal 4/3 binary64) #s(literal 1/3 binary64)))
#s(approx (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 4/3 (* 17/9 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6) (fma.f64 (fma.f64 #s(literal 17/9 binary64) (.f64 x x) #s(literal 4/3 binary64)) (.f64 x x) #s(literal 1/3 binary64)))
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#s(approx (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -248/135 binary64) (.f64 x x)) #s(literal 17/9 binary64)) x) x) #s(literal 4/3 binary64)) (.f64 x x)) #s(literal 1/2 binary64)))
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#s(approx (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)) 1)))
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#s(approx (* (sin x) (tan x)) #s(hole binary64 (pow x 2)))
#s(approx (* (sin x) (tan x)) (*.f64 x x))
#s(approx (* (sin x) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/6 (pow x 2))))))
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#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) x)
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
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#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
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#s(approx x #s(hole binary64 x))
#s(approx x x)
#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) x)
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x))
#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) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (/ -1 (cos x)) #s(hole binary64 -1))
#s(approx (/ -1 (cos x)) #s(literal -1 binary64))
#s(approx (/ -1 (cos x)) #s(hole binary64 (- (* -1/2 (pow x 2)) 1)))
#s(approx (/ -1 (cos x)) (-.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ -1 (cos x)) #s(hole binary64 (- (* (pow x 2) (- (* -5/24 (pow x 2)) 1/2)) 1)))
#s(approx (/ -1 (cos x)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)))
#s(approx (/ -1 (cos x)) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -61/720 (pow x 2)) 5/24)) 1/2)) 1)))
#s(approx (/ -1 (cos x)) (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -61/720 binary64) (.f64 x x)) #s(literal 5/24 binary64)) x) x) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal 1 binary64)))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#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) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (pow (tan x) 2) #s(hole binary64 (pow x 2)))
#s(approx (pow (tan x) 2) (*.f64 x x))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (pow (tan x) 2) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) x))
#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) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))
#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 (pow (tan x) 2) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) #s(hole binary64 -1/2))
#s(approx (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) #s(literal -1/2 binary64))
#s(approx (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) #s(hole binary64 (- (* -1/3 (pow x 2)) 1/2)))
#s(approx (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (-.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) #s(hole binary64 (- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/2)))
#s(approx (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -2/9 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x) x) #s(literal 1/2 binary64)))
#s(approx (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/2)))
#s(approx (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -17/135 binary64) (.f64 x x)) #s(literal 2/9 binary64)) x) x) #s(literal 1/3 binary64)) (.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) #s(hole binary64 (* eps x)))
#s(approx (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (*.f64 eps x))
#s(approx (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ eps (* 1/3 eps)))))))
#s(approx (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (.f64 (fma.f64 (.f64 (*.f64 x x) #s(literal 4/3 binary64)) eps eps) x))
#s(approx (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ eps (+ (* 1/3 eps) (* (pow x 2) (+ (* 2/15 eps) (+ (* 1/3 eps) (* 2/3 eps)))))))))))
#s(approx (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 eps #s(literal 17/15 binary64)) x) x (.f64 #s(literal 4/3 binary64) eps)) (.f64 eps x)))
#s(approx (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ eps (+ (* 1/3 eps) (* (pow x 2) (+ (* 2/15 eps) (+ (* 1/3 eps) (+ (* 2/3 eps) (* (pow x 2) (+ (* 17/315 eps) (+ (* 2/15 eps) (+ (* 2/9 eps) (* 17/45 eps))))))))))))))))
#s(approx (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 eps #s(literal 17/15 binary64) (.f64 (.f64 (fma.f64 #s(literal 17/315 binary64) eps (.f64 eps #s(literal 11/15 binary64))) x) x)) (.f64 x x) (.f64 #s(literal 4/3 binary64) eps)) (.f64 eps x)))
#s(approx (+ (* (pow (tan x) 2) eps) eps) #s(hole binary64 eps))
#s(approx (+ (* (pow (tan x) 2) eps) eps) eps)
#s(approx (+ (* (pow (tan x) 2) eps) eps) #s(hole binary64 (+ eps (* eps (pow x 2)))))
#s(approx (+ (* (pow (tan x) 2) eps) eps) (fma.f64 (*.f64 x x) eps eps))
#s(approx (+ (* (pow (tan x) 2) eps) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2))))))))
#s(approx (+ (* (pow (tan x) 2) eps) eps) (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 2/3 binary64) eps) (*.f64 x x) eps))
#s(approx (+ (* (pow (tan x) 2) eps) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* (pow x 2) (+ (* 17/45 (* eps (pow x 2))) (* 2/3 eps))))))))
#s(approx (+ (* (pow (tan x) 2) eps) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 17/45 binary64) (.f64 #s(literal 2/3 binary64) eps)) (.f64 x x) eps) (*.f64 x x) eps))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 eps))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) eps)
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 (+ eps (* (pow eps 2) x))))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (fma.f64 (*.f64 eps x) eps eps))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 (+ eps (* x (+ (* eps x) (pow eps 2))))))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (fma.f64 (*.f64 eps (+.f64 eps x)) x eps))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 (+ eps (* x (+ (* x (+ eps (* x (- (* eps (+ eps (* -1/6 eps))) (* -1/2 (pow eps 2)))))) (pow eps 2))))))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps #s(literal 5/6 binary64)) eps (.f64 (.f64 #s(literal 1/2 binary64) eps) eps)) x eps) x (.f64 eps eps)) x eps))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) #s(hole binary64 (* eps x)))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (*.f64 eps x))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) #s(hole binary64 (* x (+ eps x))))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (*.f64 (+.f64 eps x) x))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) #s(hole binary64 (* x (+ eps (* x (+ 1 (* x (- (+ eps (* -1/6 eps)) (* -1/2 eps)))))))))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) eps) x #s(literal 1 binary64)) x eps) x))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) #s(hole binary64 (* x (+ eps (* x (+ 1 (* x (- (+ eps (+ (* -1/6 eps) (* 2/3 x))) (* -1/2 eps)))))))))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) x (.f64 #s(literal 4/3 binary64) eps)) x #s(literal 1 binary64)) x eps) x))
#s(approx (* eps x) #s(hole binary64 (* eps x)))
#s(approx (* eps x) (*.f64 eps x))
#s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) #s(hole binary64 eps))
#s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) eps)
#s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) #s(hole binary64 (+ eps (* eps (pow x 2)))))
#s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (fma.f64 (*.f64 x x) eps eps))
#s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (* -1/3 eps) (* -1 eps))))))))
#s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 2/3 binary64) eps) (*.f64 x x) eps))
#s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (+ (* -1/3 eps) (* (pow x 2) (- (* 2/45 eps) (+ (* -1 (- (* -1/3 eps) (* -1 eps))) (* 1/3 eps))))) (* -1 eps))))))))
#s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/45 binary64) eps) (fma.f64 #s(literal -2/3 binary64) eps (.f64 #s(literal 1/3 binary64) eps))) (.f64 x x) (.f64 #s(literal 2/3 binary64) eps)) (.f64 x x) eps) (.f64 x x) eps))
#s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) #s(hole binary64 (pow x 2)))
#s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (*.f64 x x))
#s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) x))
#s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (/ (pow (sin x) 2) (pow (cos 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 (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (* (* (+ (* 2/3 (* x x)) 1) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* 2/3 (* x x)) 1) x) x) (*.f64 x x))
#s(approx (* (* (+ (* 2/3 (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (* (* (+ (* 2/3 (* x x)) 1) x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) x))
#s(approx (* (+ (* 2/3 (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* 2/3 (* x x)) 1) x) x)
#s(approx (* (+ (* 2/3 (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* 2/3 (pow x 2))))))
#s(approx (* (+ (* 2/3 (* x x)) 1) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x))
#s(approx (+ (* 2/3 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* 2/3 (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* 2/3 (* x x)) 1) #s(hole binary64 (+ 1 (* 2/3 (pow x 2)))))
#s(approx (+ (* 2/3 (* x x)) 1) (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 1 binary64)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* x x) (*.f64 x x))
#s(approx (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) #s(hole binary64 eps))
#s(approx (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) eps)
#s(approx (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) #s(hole binary64 (+ eps (* (pow eps 2) x))))
#s(approx (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) (fma.f64 (*.f64 eps x) eps eps))
#s(approx (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) #s(hole binary64 (+ eps (* x (+ (* eps x) (pow eps 2))))))
#s(approx (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) (fma.f64 (*.f64 eps (+.f64 eps x)) x eps))
#s(approx (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) #s(hole binary64 (+ eps (* x (+ (* x (+ eps (* eps (* x (+ eps (* 1/3 eps)))))) (pow eps 2))))))
#s(approx (+ (* (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) eps) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 eps x) (.f64 #s(literal 4/3 binary64) eps) eps) x (*.f64 eps eps)) x eps))
#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (* eps x)))
#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (*.f64 eps x))
#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (* x (+ eps x))))
#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (*.f64 (+.f64 eps x) x))
#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (* x (+ eps (* x (+ 1 (* x (+ eps (* 1/3 eps)))))))))
#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) eps) x #s(literal 1 binary64)) x eps) x))
#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (* x (+ eps (* x (+ 1 (* x (+ eps (+ (* 1/3 eps) (* 2/3 x))))))))))
#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) x (.f64 #s(literal 4/3 binary64) eps)) x #s(literal 1 binary64)) x eps) x))
#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)) (tan x)) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
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#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (* eps eps) (*.f64 eps eps))
#s(approx eps #s(hole binary64 eps))
#s(approx eps eps)
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#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) (.f64 (neg.f64 (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 (neg.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 (sin.f64 x) eps) (neg.f64 (-.f64 (neg.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (neg.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 (cos.f64 x) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (- (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) 1/6)) (* -1 (/ (+ (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x))) (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps))) eps)))))))
#s(approx (+ (* (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) eps) eps) (.f64 (neg.f64 (pow.f64 eps #s(literal 3 binary64))) (neg.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (sin.f64 x) (/.f64 (-.f64 (/.f64 (neg.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 (neg.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 (neg.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (neg.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 (cos.f64 x) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) #s(literal 1/6 binary64))))))
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#s(approx (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) (.f64 (-.f64 (neg.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (neg.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 (cos.f64 x) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 (neg.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 (sin.f64 x) eps) #s(literal 1/6 binary64))) (*.f64 eps eps)))
#s(approx (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) (* -1 (/ (+ (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x))) eps))) 1/6))))
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#s(approx (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) 1/2)) (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (* eps (cos x))))) 1/6))))
#s(approx (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (.f64 (-.f64 (neg.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (neg.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 (cos.f64 x) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 (neg.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 (sin.f64 x) eps) #s(literal 1/6 binary64))) (*.f64 eps eps)))
#s(approx (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) #s(hole binary64 (* -1 (/ (* eps (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))))
#s(approx (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (.f64 (neg.f64 eps) (.f64 (sin.f64 x) (/.f64 (-.f64 (/.f64 (neg.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)))))
#s(approx (+ (* (pow (tan x) 2) eps) eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))))
#s(approx (+ (* (pow (tan x) 2) eps) eps) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.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 (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 (* -1 (/ (* (pow eps 2) (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (/.f64 (.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (sin.f64 x) (*.f64 eps eps))) (neg.f64 (cos.f64 x))))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x))) (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps))))))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (.f64 (neg.f64 (fma.f64 (sin.f64 x) (/.f64 (-.f64 (/.f64 (neg.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 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps))) (.f64 eps eps)))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) #s(hole binary64 (* -1 (/ (* eps (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (.f64 (neg.f64 eps) (.f64 (sin.f64 x) (/.f64 (-.f64 (/.f64 (neg.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)))))
#s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x)))))))
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#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (.f64 (neg.f64 eps) (.f64 (sin.f64 x) (/.f64 (-.f64 (/.f64 (neg.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)))))
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#s(approx (+ (* (tan x) (tan x)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (*.f64 (neg.f64 eps) (fma.f64 (sin.f64 x) (/.f64 (-.f64 (/.f64 (neg.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 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))

rewrite165.0ms (1.4%)

Memory

25.3MiB live, 216.2MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	755
0	115	749
1	491	640
0	4306	630

Stop Event

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

Counts

45 → 541

Calls

Call 1

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

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

eval157.0ms (1.4%)

Memory: -11.6MiB live, 218.6MiB allocated; 25ms collecting garbage
Compiler: Compiled 64 386 to 5 020 computations (92.2% saved)

prune46.0ms (0.4%)

Memory

-0.6MiB live, 93.3MiB allocated; 3ms collecting garbage

Pruning

27 alts after pruning (23 fresh and 4 done)

	Pruned	Kept	Total
New	989	8	997
Fresh	3	15	18
Picked	3	2	5
Done	0	2	2
Total	995	27	1 022

Accuracy

100.0%

Counts

1 022 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.7%	(fma.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 2 binary64)))) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal 1 binary64)) (-.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x)))
	64.8%	(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 x)))) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (tan.f64 x)))) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x)))))
	64.7%	(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (sin.f64 x))) (*.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
	64.7%	(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x))
	6.8%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
✓	64.6%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	99.5%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) (tan.f64 x) (.f64 #s(approx (+ ( (pow (tan x) 2) eps) eps) eps) (tan.f64 x))) eps eps))
	99.5%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (tan.f64 (+.f64 (PI.f64) x)) (tan.f64 x) (.f64 #s(approx (+ ( (pow (tan x) 2) eps) eps) eps) (tan.f64 x))) eps eps))
	99.8%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (tan.f64 x) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) eps (tan.f64 x)) (.f64 (fma.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x)) (tan.f64 x) #s(literal -1 binary64)) #s(approx (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) #s(literal -1/2 binary64))) #s(literal -1 binary64) #s(literal -1/6 binary64)) (*.f64 eps eps))) eps eps))
✓	99.5%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (.f64 #s(approx (+ ( (pow (tan x) 2) eps) eps) eps) (tan.f64 x))) eps eps))
	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(approx (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (.f64 (fma.f64 (fma.f64 (.f64 eps #s(literal 17/15 binary64)) (.f64 x x) (.f64 #s(literal 4/3 binary64) eps)) (*.f64 x x) eps) x))) eps eps))
	99.2%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(approx (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (.f64 (fma.f64 (.f64 x x) (*.f64 #s(literal 4/3 binary64) eps) eps) x))) eps eps))
	99.4%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (*.f64 eps x)) (cos.f64 x)) eps eps))
	99.8%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (+.f64 (fma.f64 (.f64 eps eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(approx (/ -1 (cos x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(approx (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) #s(literal -1/2 binary64))) #s(literal -1 binary64) #s(literal -1/6 binary64)) (*.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (tan.f64 x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
	99.7%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (*.f64 eps (tan.f64 x)) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) eps (tan.f64 x)) eps))
	99.5%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (.f64 eps (tan.f64 x)) (+.f64 #s(approx (+ ( (pow (tan x) 2) eps) eps) eps) (tan.f64 x)) eps))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 #s(approx (+ (* 2/3 (* x x)) 1) (.f64 #s(literal 2/3 binary64) (.f64 x x))) x) x)) eps eps))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 #s(approx ( (+ (* 2/3 (* x x)) 1) x) x) x)) eps eps))
	99.0%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (*.f64 (+.f64 eps x) x)) eps eps))
✓	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (*.f64 eps x)) eps eps))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (+ (* (* eps eps) (+ (* (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2))) -1) -1/6)) (* (+ (* (pow (tan x) 2) eps) eps) (tan x))) (pow (tan x) 2)) (*.f64 eps (fma.f64 #s(literal 1/3 binary64) eps x))) eps eps))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) (fma.f64 (fma.f64 #s(approx (+ (* 4/3 (* eps eps)) 1) (.f64 #s(literal 4/3 binary64) (.f64 eps eps))) x eps) x (.f64 (.f64 eps eps) #s(literal 1/3 binary64)))) eps eps))
	99.0%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (* (* (+ (* (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2))) -1) -1/6) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x))) (fma.f64 #s(approx (+ (* (+ (* 4/3 (* eps eps)) 1) x) eps) (+.f64 eps x)) x (.f64 (.f64 eps eps) #s(literal 1/3 binary64)))) eps eps))
	99.7%	#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 eps (.f64 (neg.f64 (.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) eps (tan.f64 x)) (tan.f64 x))) eps)))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(approx (/ (+ ( (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (*.f64 eps x)) #s(literal -1 binary64)) eps))
✓	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) eps))

Compiler

Compiled 3 344 to 994 computations (70.3% saved)

regimes67.0ms (0.6%)

Memory

15.8MiB live, 67.0MiB allocated; 40ms collecting garbage

Counts

58 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

38.0ms	x
13.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
13.0ms	eps

Results

Accuracy	Segments	Branch
99.8%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
99.8%	1	`x`
99.8%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes60.0ms (0.5%)

Memory

-7.7MiB live, 40.1MiB allocated; 6ms collecting garbage

Counts

56 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

33.0ms	x
13.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
13.0ms	eps

Results

Accuracy	Segments	Branch
99.8%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
99.8%	1	`x`
99.8%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes54.0ms (0.5%)

Memory

-12.4MiB live, 33.4MiB allocated; 3ms collecting garbage

Counts

55 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

26.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
13.0ms	eps
12.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
99.8%	1	`x`
99.8%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes37.0ms (0.3%)

Memory

31.2MiB live, 31.2MiB allocated; 0ms collecting garbage

Counts

51 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.8%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
99.8%	1	`x`
99.8%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes39.0ms (0.3%)

Memory

-15.8MiB live, 30.4MiB allocated; 2ms collecting garbage

Counts

49 → 1

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	eps
11.0ms	x
11.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes28.0ms (0.2%)

Memory

23.2MiB live, 23.2MiB allocated; 0ms collecting garbage

Counts

38 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes48.0ms (0.4%)

Memory

-32.6MiB live, 17.9MiB allocated; 4ms collecting garbage

Counts

23 → 1

Calls

Call 1

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

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

Calls

3 calls:

35.0ms	eps
6.0ms	x
6.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes15.0ms (0.1%)

Memory

15.0MiB live, 15.0MiB allocated; 0ms collecting garbage

Counts

19 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
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)

regimes8.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated; 0ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.0%	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)

regimes31.0ms (0.3%)

Memory

-39.6MiB live, 7.4MiB allocated; 2ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.9%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.9%	1	`x`
98.9%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0%)

Memory

6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) eps))

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.7%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.7%	1	`x`
98.7%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes3.0ms (0%)

Memory

5.5MiB live, 5.5MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) eps))

Outputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) eps))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.7%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.7%	1	`x`
98.7%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify46.0ms (0.4%)

Memory

32.8MiB live, 32.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	128	560
1	204	544
2	521	537
3	2292	525

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations555.0ms (4.8%)

Memory

-27.2MiB live, 249.2MiB allocated; 24ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 561 to 134 computations (76.1% saved)

preprocess68.0ms (0.6%)

Memory: 10.7MiB live, 104.4MiB allocated; 13ms collecting garbage
Compiler: Compiled 1 154 to 292 computations (74.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze44.0ms (0.4%)

sample6.9s (59.7%)

explain179.0ms (1.6%)

preprocess255.0ms (2.2%)

eval0.0ms (0%)

prune0.0ms (0%)

series12.0ms (0.1%)

simplify174.0ms (1.5%)

rewrite238.0ms (2.1%)

eval59.0ms (0.5%)

prune13.0ms (0.1%)

series89.0ms (0.8%)

simplify172.0ms (1.5%)

rewrite170.0ms (1.5%)

eval305.0ms (2.6%)

prune49.0ms (0.4%)

series132.0ms (1.1%)

simplify191.0ms (1.7%)

rewrite263.0ms (2.3%)

eval503.0ms (4.4%)

prune63.0ms (0.5%)

series72.0ms (0.6%)

simplify229.0ms (2%)

rewrite165.0ms (1.4%)

eval157.0ms (1.4%)

prune46.0ms (0.4%)

regimes67.0ms (0.6%)

regimes60.0ms (0.5%)

regimes54.0ms (0.5%)

regimes37.0ms (0.3%)

regimes39.0ms (0.3%)

regimes28.0ms (0.2%)

regimes48.0ms (0.4%)

regimes15.0ms (0.1%)

regimes8.0ms (0.1%)

regimes31.0ms (0.3%)

regimes4.0ms (0%)

regimes3.0ms (0%)

simplify46.0ms (0.4%)

derivations555.0ms (4.8%)

preprocess68.0ms (0.6%)

end0.0ms (0%)

Profiling