Metrics for 2tan (problem 3.3.2)

start0.0ms (0%)

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

analyze54.0ms (0.5%)

Memory

0.3MiB live, 44.3MiB allocated; 31ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample5.7s (54.2%)

Memory

-108.1MiB live, 5 514.1MiB allocated; 2.2s collecting garbage

Samples

3.1s	26 520×	0	invalid
974.0ms	5 092×	1	valid
323.0ms	3 164×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.6s

ival-tan: 641.0ms (24.9% of total)

const: 424.0ms (16.5% of total)

ival-add: 379.0ms (14.7% of total)

ival-fabs: 290.0ms (11.3% of total)

adjust: 260.0ms (10.1% of total)

ival-mult: 177.0ms (6.9% of total)

ival-sub: 177.0ms (6.9% of total)

ival-<: 139.0ms (5.4% of total)

ival-and: 73.0ms (2.8% of total)

ival-assert: 14.0ms (0.5% of total)

Bogosity

explain144.0ms (1.4%)

Memory

-11.7MiB live, 180.2MiB allocated; 78ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
227	2	(7.166539607138181e-7 1.2277720028785776e-9)	2	(-3.4357306229197945e-281 7.4564309883558895e-283)	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
5	0	-	0	-	`(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	227	5
`tan.f64`	`(tan.f64 (+.f64 x eps))`	sensitivity	5	0

Confusion

	Predicted +	Predicted -
+	227	2
-	2	25

Precision

0.9912663755458515

Recall

0.9912663755458515

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	227	2	0
-	2	3	22

Precision?

0.9786324786324786

Recall?

1.0

Freqs

test

number	freq
0	27
1	226
2	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

45.0ms	318×	1	valid
25.0ms	190×	0	valid
1.0ms	2×	3	valid
1.0ms	2×	2	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-tan: 34.0ms (62.5% of total)

adjust: 12.0ms (22.1% of total)

ival-add: 4.0ms (7.4% of total)

ival-sub: 3.0ms (5.5% of total)

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

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

preprocess237.0ms (2.3%)

Memory

-19.0MiB live, 172.2MiB allocated; 62ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	50
1	40	50
2	67	50
3	114	50
4	189	50
5	330	50
6	660	50
7	1513	50
8	2903	50
9	4334	50
0	6	7
0	10	7
1	16	7
2	25	7
3	41	7
4	66	7
5	117	7
6	221	7
7	472	7
8	1313	7
9	3234	7
10	5204	7
0	8088	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.5%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Compiler

Compiled 7 to 6 computations (14.3% saved)

series12.0ms (0.1%)

Memory

16.2MiB live, 16.2MiB allocated; 0ms collecting garbage

Counts

6 → 36

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite187.0ms (1.8%)

Memory

33.4MiB live, 119.8MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	201	1262
0	206	1117
1	1269	904
0	8326	874

Stop Event

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

Counts

42 → 87

Calls

Call 1

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

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

eval33.0ms (0.3%)

Memory: -33.8MiB live, 27.9MiB allocated; 9ms collecting garbage
Compiler: Compiled 1 929 to 400 computations (79.3% saved)

prune35.0ms (0.3%)

Memory

-17.2MiB live, 26.8MiB allocated; 8ms collecting garbage

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	71	18	89
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	71	19	90

Accuracy

99.9%

Counts

90 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.5%	(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
▶	61.8%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
	61.5%	(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (tan.f64 x))
	61.8%	(-.f64 (+.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
	5.1%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (PI.f64))) (tan.f64 x))
	5.1%	(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (tan.f64 x))
▶	7.8%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))))
	8.0%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x (PI.f64))))
✓	61.5%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶	59.8%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
	59.8%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
	59.6%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
	59.3%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) x))
	97.3%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (-.f64 (/.f64 (.f64 (.f64 x (sin.f64 eps)) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (cos.f64 eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) x (tan.f64 eps)))
▶	99.1%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 eps) (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (+.f64 (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)))) #s(literal 1/6 binary64)) (sin.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)))) (cos.f64 x)))) (+.f64 (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)))) #s(literal 1/6 binary64))) eps (.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
	99.0%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 (fma.f64 (neg.f64 eps) (+.f64 (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)))) #s(literal 1/6 binary64)) (.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
	98.2%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
▶	97.2%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))

Compiler

Compiled 983 to 520 computations (47.1% saved)

series177.0ms (1.7%)

Memory

25.9MiB live, 170.8MiB allocated; 37ms collecting garbage

Counts

60 → 315

Calls

Call 1

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

Outputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (* (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (* (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow eps 2) (* x (+ 1 (* 2/3 (pow eps 2))))))))
#s(approx (* (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2)))))))))
#s(approx (* (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* x (+ (* x (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (* (pow eps 2) (* x (+ 4/3 (* 17/9 (pow eps 2))))))) (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2)))))))))
#s(approx (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* 1/3 (pow eps 2)))))
#s(approx (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2)))))))))
#s(approx (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))))))))
#s(approx (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (+ (* 4/3 (pow eps 2)) (* eps (* x (+ 4/3 (* 17/9 (pow eps 2))))))))))))))
#s(approx (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (+ 1 (* 1/3 (pow eps 2)))))
#s(approx (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2)))))))))
#s(approx (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ (* 4/3 (* (pow eps 2) x)) (* eps (+ 1 (* 2/3 (pow eps 2))))))))))
#s(approx (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ (* 4/3 (pow eps 2)) (* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))))))))))
#s(approx (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) #s(hole binary64 (* 1/3 eps)))
#s(approx (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) #s(hole binary64 (+ (* 1/3 eps) (* x (+ 1 (* 2/3 (pow eps 2)))))))
#s(approx (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) #s(hole binary64 (+ (* 1/3 eps) (* x (+ 1 (+ (* 2/3 (pow eps 2)) (* 4/3 (* eps x))))))))
#s(approx (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) #s(hole binary64 (+ (* 1/3 eps) (* x (+ 1 (+ (* 2/3 (pow eps 2)) (* x (+ (* 4/3 eps) (* x (+ 4/3 (* 17/9 (pow eps 2))))))))))))
#s(approx (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) #s(hole binary64 1/3))
#s(approx (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) #s(hole binary64 (+ 1/3 (* 2/3 (* eps x)))))
#s(approx (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) #s(hole binary64 (+ 1/3 (* x (+ (* 2/3 eps) (* 4/3 x))))))
#s(approx (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) #s(hole binary64 (+ 1/3 (* x (+ (* 2/3 eps) (* x (+ 4/3 (* 17/9 (* eps x)))))))))
#s(approx (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) #s(hole binary64 (* 2/3 (* eps x))))
#s(approx (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) #s(hole binary64 (* x (+ (* 2/3 eps) (* 17/9 (* eps (pow x 2)))))))
#s(approx (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) #s(hole binary64 (* x (+ (* 2/3 eps) (* (pow x 2) (+ (* 17/9 eps) (* 124/45 (* eps (pow x 2)))))))))
#s(approx (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) #s(hole binary64 (* x (+ (* 2/3 eps) (* (pow x 2) (+ (* 17/9 eps) (* (pow x 2) (+ (* 124/45 eps) (* 2764/945 (* eps (pow x 2)))))))))))
#s(approx (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x))) #s(hole binary64 (* -2/3 x)))
#s(approx (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x))) #s(hole binary64 (* x (- (* -17/9 (pow x 2)) 2/3))))
#s(approx (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x))) #s(hole binary64 (* x (- (* (pow x 2) (- (* -124/45 (pow x 2)) 17/9)) 2/3))))
#s(approx (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x))) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2764/945 (pow x 2)) 124/45)) 17/9)) 2/3))))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 x))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 (* x (+ 1 (* 4/3 (pow x 2))))))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 4/3 (* 17/15 (pow x 2))))))))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/15 (* 248/315 (pow x 2))))))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) #s(hole binary64 x))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) #s(hole binary64 (* x (+ 1 (* 5/6 (pow x 2))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2))))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 5/6 (* (pow x 2) (+ 61/120 (* 277/1008 (pow x 2))))))))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 1))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (- (* -2/3 (pow x 2)) 1))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -62/315 (pow x 2)) 17/45)) 2/3)) 1))))
#s(approx (pow (tan x) 2) #s(hole binary64 (pow x 2)))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)) #s(hole binary64 (* -1/6 x)))
#s(approx (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)) #s(hole binary64 (* x (- (* -11/9 (pow x 2)) 1/6))))
#s(approx (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)) #s(hole binary64 (* x (- (* (pow x 2) (- (* -197/90 (pow x 2)) 11/9)) 1/6))))
#s(approx (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2392/945 (pow x 2)) 197/90)) 11/9)) 1/6))))
#s(approx (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) #s(hole binary64 (* -1/6 x)))
#s(approx (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) #s(hole binary64 (* x (- (* -41/36 (pow x 2)) 1/6))))
#s(approx (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) #s(hole binary64 (* x (- (* (pow x 2) (- (* -1141/720 (pow x 2)) 41/36)) 1/6))))
#s(approx (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -44981/30240 (pow x 2)) 1141/720)) 41/36)) 1/6))))
#s(approx (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) #s(hole binary64 -1/3))
#s(approx (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) #s(hole binary64 (- (* -4/3 (pow x 2)) 1/3)))
#s(approx (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) #s(hole binary64 (- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/3)))
#s(approx (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/3)))
#s(approx (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) #s(hole binary64 -1/2))
#s(approx (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) #s(hole binary64 (- (* -4/3 (pow x 2)) 1/2)))
#s(approx (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) #s(hole binary64 (- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/2)))
#s(approx (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/2)))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) #s(hole binary64 (pow x 2)))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* 5/3 (pow x 2))))))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 5/3 (* 77/45 (pow x 2))))))))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 5/3 (* (pow x 2) (+ 77/45 (* 88/63 (pow x 2))))))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) #s(hole binary64 (pow x 2)))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (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 (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 (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 -1/2))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* -1/3 (pow x 2)) 1/2)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/2)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/2)))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/9 (pow x 2))))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/9 (* 17/270 (pow x 2))))))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/9 (* (pow x 2) (+ 17/270 (* 31/945 (pow x 2))))))))))
#s(approx (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x))) #s(hole binary64 (* 1/6 x)))
#s(approx (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x))) #s(hole binary64 (* x (+ 1/6 (* 5/36 (pow x 2))))))
#s(approx (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x))) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (+ 5/36 (* 61/720 (pow x 2))))))))
#s(approx (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x))) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (+ 5/36 (* (pow x 2) (+ 61/720 (* 277/6048 (pow x 2))))))))))
#s(approx (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) #s(hole binary64 x))
#s(approx (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) #s(hole binary64 (* x (+ 1 (* 4/3 (pow x 2))))))
#s(approx (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 4/3 (* 17/15 (pow x 2))))))))
#s(approx (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/15 (* 248/315 (pow x 2))))))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/3 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (+ 1/3 (* 2/15 (pow x 2)))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))
#s(approx (+ (* 17/315 (* x x)) 2/15) #s(hole binary64 2/15))
#s(approx (+ (* 17/315 (* x x)) 2/15) #s(hole binary64 (+ 2/15 (* 17/315 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (tan (+ x eps)) (tan (+ (+ x (PI)) (PI)))) #s(hole binary64 (- (/ (sin eps) (cos eps)) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (- (tan (+ x eps)) (tan (+ (+ x (PI)) (PI)))) #s(hole binary64 (- (+ (* x (- (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (- (tan (+ x eps)) (tan (+ (+ x (PI)) (PI)))) #s(hole binary64 (- (+ (* x (- (+ (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))) (* x (- (* -1 (/ (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (cos (* 2 (PI))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (- (tan (+ x eps)) (tan (+ (+ x (PI)) (PI)))) #s(hole binary64 (- (+ (* x (- (+ (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))) (* x (- (+ (* -1 (/ (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (cos (* 2 (PI))))) (* x (- (+ (* -1 (/ (* (pow (sin (* 2 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (pow (cos (* 2 (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (* 1/6 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (tan (+ (+ x (PI)) (PI))) #s(hole binary64 (/ (sin (* 2 (PI))) (cos (* 2 (PI))))))
#s(approx (tan (+ (+ x (PI)) (PI))) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (tan (+ (+ x (PI)) (PI))) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))) (cos (* 2 (PI))))) (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (tan (+ (+ x (PI)) (PI))) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (* 2 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (pow (cos (* 2 (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (* 1/6 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))))) (* -1 (/ (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (cos (* 2 (PI)))))))) (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (+ (+ x (PI)) (PI)) #s(hole binary64 (* 2 (PI))))
#s(approx (+ (+ x (PI)) (PI)) #s(hole binary64 (+ x (* 2 (PI)))))
#s(approx (+ x (PI)) #s(hole binary64 (PI)))
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#s(approx (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (/ (sin eps) (cos eps))))
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#s(approx (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
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#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ x (/ (sin eps) (cos eps)))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (* x (+ 1 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps)))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (/ (sin eps) (cos eps)))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 1))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (* x (sin eps)) (cos eps))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* x (- (* -1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps)))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* x (- (* (pow x 2) (- (* -2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (/ (* x (sin eps)) (cos eps))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* 1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/3 (/ (sin eps) (cos eps))) (* (pow x 2) (+ (* 17/315 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 2/15 (/ (sin eps) (cos eps))))))) (/ (sin eps) (cos eps))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
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#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) #s(hole binary64 (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (pow (tan x) 2) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)) #s(hole binary64 (/ (+ (* 1/6 (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (cos x))))
#s(approx (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) #s(hole binary64 (+ (* 1/6 (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))))))
#s(approx (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) #s(hole binary64 (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))))
#s(approx (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) #s(hole binary64 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) #s(hole binary64 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) #s(hole binary64 (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (pow (sin x) 2) #s(hole binary64 (pow (sin x) 2)))
#s(approx (pow (cos x) 2) #s(hole binary64 (pow (cos x) 2)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
#s(approx (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x))) #s(hole binary64 (* 1/6 (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) #s(hole binary64 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (+ eps x)) (cos (+ eps x)))))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* 17/315 (pow x 7))))
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#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (* (pow x 4) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))
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#s(approx (+ (+ x (PI)) (PI)) #s(hole binary64 x))
#s(approx (+ (+ x (PI)) (PI)) #s(hole binary64 (* x (+ 1 (* 2 (/ (PI) x))))))
#s(approx (+ x (PI)) #s(hole binary64 x))
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#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))))
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Calls

6 calls:

Time	Variable		Point	Expression
43.0ms	x	@	inf	((- (tan (+ x eps)) (tan x)) (* (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow 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x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (neg eps) eps (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x))) (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (* (- 1 (neg (pow (tan x) 2))) (sin x)) (- 1 (neg (pow (tan x) 2))) 1 (neg (pow (tan x) 2)) (pow (tan x) 2) (tan x) x 2 (sin x) (cos x) -1/2 (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)) (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (sin x) 2) (pow (cos x) 2) -1 (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (pow (tan x) 2) 1/6) 1/6 (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x))) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) (- (tan (+ x eps)) (tan x)) (tan eps) (- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x) (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (+ (* 17/315 (* x x)) 2/15) 17/315 (* x x) 2/15 1/3 (- (tan (+ x eps)) (tan (+ (+ x (PI)) (PI)))) (tan (+ (+ x (PI)) (PI))) (+ (+ x (PI)) (PI)) (+ x (PI)) (PI) (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps))) (* (tan x) (tan eps)))
41.0ms	eps	@	0	((- (tan (+ x eps)) (tan x)) (* (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow 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rewrite272.0ms (2.6%)

Memory

3.9MiB live, 394.1MiB allocated; 50ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1438	26260
0	1551	24377
0	8472	23902

Stop Event

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

Counts

375 → 542

Calls

Call 1

Inputs
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#s(approx (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) #s(hole binary64 (* x (+ (* 2/3 eps) (* (pow x 2) (+ (* 17/9 eps) (* 124/45 (* eps (pow x 2)))))))))
#s(approx (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) #s(hole binary64 (* x (+ (* 2/3 eps) (* (pow x 2) (+ (* 17/9 eps) (* (pow x 2) (+ (* 124/45 eps) (* 2764/945 (* eps (pow x 2)))))))))))
#s(approx (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x))) #s(hole binary64 (* -2/3 x)))
#s(approx (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x))) #s(hole binary64 (* x (- (* -17/9 (pow x 2)) 2/3))))
#s(approx (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x))) #s(hole binary64 (* x (- (* (pow x 2) (- (* -124/45 (pow x 2)) 17/9)) 2/3))))
#s(approx (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x))) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2764/945 (pow x 2)) 124/45)) 17/9)) 2/3))))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 x))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 (* x (+ 1 (* 4/3 (pow x 2))))))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 4/3 (* 17/15 (pow x 2))))))))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/15 (* 248/315 (pow x 2))))))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) #s(hole binary64 x))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) #s(hole binary64 (* x (+ 1 (* 5/6 (pow x 2))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2))))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 5/6 (* (pow x 2) (+ 61/120 (* 277/1008 (pow x 2))))))))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 1))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (- (* -2/3 (pow x 2)) 1))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -62/315 (pow x 2)) 17/45)) 2/3)) 1))))
#s(approx (pow (tan x) 2) #s(hole binary64 (pow x 2)))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)) #s(hole binary64 (* -1/6 x)))
#s(approx (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)) #s(hole binary64 (* x (- (* -11/9 (pow x 2)) 1/6))))
#s(approx (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)) #s(hole binary64 (* x (- (* (pow x 2) (- (* -197/90 (pow x 2)) 11/9)) 1/6))))
#s(approx (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2392/945 (pow x 2)) 197/90)) 11/9)) 1/6))))
#s(approx (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) #s(hole binary64 (* -1/6 x)))
#s(approx (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) #s(hole binary64 (* x (- (* -41/36 (pow x 2)) 1/6))))
#s(approx (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) #s(hole binary64 (* x (- (* (pow x 2) (- (* -1141/720 (pow x 2)) 41/36)) 1/6))))
#s(approx (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -44981/30240 (pow x 2)) 1141/720)) 41/36)) 1/6))))
#s(approx (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) #s(hole binary64 -1/3))
#s(approx (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) #s(hole binary64 (- (* -4/3 (pow x 2)) 1/3)))
#s(approx (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) #s(hole binary64 (- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/3)))
#s(approx (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/3)))
#s(approx (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) #s(hole binary64 -1/2))
#s(approx (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) #s(hole binary64 (- (* -4/3 (pow x 2)) 1/2)))
#s(approx (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) #s(hole binary64 (- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/2)))
#s(approx (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/2)))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) #s(hole binary64 (pow x 2)))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* 5/3 (pow x 2))))))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 5/3 (* 77/45 (pow x 2))))))))
#s(approx (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 5/3 (* (pow x 2) (+ 77/45 (* 88/63 (pow x 2))))))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) #s(hole binary64 (pow x 2)))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (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 (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 (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 -1/2))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* -1/3 (pow x 2)) 1/2)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/2)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/2)))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/9 (pow x 2))))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/9 (* 17/270 (pow x 2))))))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/9 (* (pow x 2) (+ 17/270 (* 31/945 (pow x 2))))))))))
#s(approx (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x))) #s(hole binary64 (* 1/6 x)))
#s(approx (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x))) #s(hole binary64 (* x (+ 1/6 (* 5/36 (pow x 2))))))
#s(approx (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x))) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (+ 5/36 (* 61/720 (pow x 2))))))))
#s(approx (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x))) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (+ 5/36 (* (pow x 2) (+ 61/720 (* 277/6048 (pow x 2))))))))))
#s(approx (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) #s(hole binary64 x))
#s(approx (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) #s(hole binary64 (* x (+ 1 (* 4/3 (pow x 2))))))
#s(approx (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 4/3 (* 17/15 (pow x 2))))))))
#s(approx (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/15 (* 248/315 (pow x 2))))))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/3 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (+ 1/3 (* 2/15 (pow x 2)))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))
#s(approx (+ (* 17/315 (* x x)) 2/15) #s(hole binary64 2/15))
#s(approx (+ (* 17/315 (* x x)) 2/15) #s(hole binary64 (+ 2/15 (* 17/315 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (tan (+ x eps)) (tan (+ (+ x (PI)) (PI)))) #s(hole binary64 (- (/ (sin eps) (cos eps)) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (- (tan (+ x eps)) (tan (+ (+ x (PI)) (PI)))) #s(hole binary64 (- (+ (* x (- (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (- (tan (+ x eps)) (tan (+ (+ x (PI)) (PI)))) #s(hole binary64 (- (+ (* x (- (+ (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))) (* x (- (* -1 (/ (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (cos (* 2 (PI))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
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Outputs
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(cos.f64 (neg.f64 x))
(cos.f64 x)
#s(literal -1/2 binary64)
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#s(approx (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 x)) (neg.f64 (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) #s(literal 1/6 binary64)))) eps) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 x) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) (cos.f64 x)) (/.f64 (fma.f64 (sin.f64 x) (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) #s(literal 1/6 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 x)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))) (cos.f64 x)))))))
#s(approx (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (neg.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) (cos.f64 x))) (pow.f64 eps #s(literal -1 binary64))) eps) (neg.f64 (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) #s(literal 1/6 binary64)))) eps) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 x) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) (cos.f64 x)) (/.f64 (fma.f64 (sin.f64 x) (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) #s(literal 1/6 binary64)) (.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))) (cos.f64 x)))))))
#s(approx (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (.f64 (.f64 eps eps) (.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 x) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) (cos.f64 x)) (/.f64 (fma.f64 (sin.f64 x) (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) #s(literal 1/6 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 x)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))) (cos.f64 x))) (/.f64 (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 eps (cos.f64 x))) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) #s(literal 1/6 binary64)) eps)))))
#s(approx (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (.f64 (neg.f64 eps) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 x) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) (cos.f64 x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (sin.f64 x) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) (cos.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 (sin.f64 x) (/.f64 (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) #s(literal 1/6 binary64)) (cos.f64 x)) (/.f64 #s(literal 1/6 binary64) eps)))))))))
#s(approx (tan (+ x eps)) (tan.f64 (-.f64 x (neg.f64 eps))))
#s(approx (+ x eps) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))
#s(approx (- (tan (+ x eps)) (tan (+ (+ x (PI)) (PI)))) (-.f64 (tan.f64 (-.f64 x (neg.f64 eps))) (tan.f64 x)))

eval425.0ms (4%)

Memory: 13.1MiB live, 523.0MiB allocated; 66ms collecting garbage
Compiler: Compiled 146 325 to 7 923 computations (94.6% saved)

prune125.0ms (1.2%)

Memory

-72.1MiB live, 255.7MiB allocated; 78ms collecting garbage

Pruning

51 alts after pruning (46 fresh and 5 done)

	Pruned	Kept	Total
New	1 131	38	1 169
Fresh	5	8	13
Picked	1	4	5
Done	0	1	1
Total	1 137	51	1 188

Accuracy

99.9%

Counts

1 188 → 51

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.5%	(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
✓	61.8%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
	60.9%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(approx (tan eps) eps)))) (tan.f64 x))
	61.5%	(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (tan.f64 x))
	61.2%	(-.f64 (/.f64 #s(approx (+ (tan x) (tan eps)) (fma.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 #s(literal 2/15 binary64) (.f64 eps eps) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
▶	61.1%	(-.f64 (/.f64 #s(approx (+ (tan x) (tan eps)) (fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
	61.8%	(-.f64 (+.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
	5.1%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (PI.f64))) (tan.f64 x))
	5.1%	(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (tan.f64 x))
	3.5%	(-.f64 (tan.f64 (+.f64 (+.f64 eps x) (PI.f64))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
✓	7.8%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))))
	8.0%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 #s(approx (+ x (PI)) x) (PI.f64))))
✓	61.5%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓	59.8%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
	59.8%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 17/315 (* x x)) 2/15) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
▶	59.6%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
▶	99.1%	#s(approx (- (tan (+ x eps)) (tan (+ (+ x (PI)) (PI)))) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 eps) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64))) (sin.f64 x) (.f64 (.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (sin.f64 x))) (cos.f64 x)))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64)))) eps (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x))) eps (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 eps) (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (+.f64 (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)))) #s(literal 1/6 binary64)) (sin.f64 x) (.f64 #s(literal 1/6 binary64) #s(approx (* (- 1 (neg (pow (tan x) 2))) (sin x)) x))) (cos.f64 x)))) (+.f64 (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)))) #s(literal 1/6 binary64))) eps (.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
	98.3%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 eps) (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (+.f64 (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)))) #s(literal 1/6 binary64)) (sin.f64 x) #s(approx ( 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 #s(literal 277/6048 binary64) (.f64 x x) #s(literal 61/720 binary64)) #s(literal 5/36 binary64)) #s(literal 1/6 binary64))))) (cos.f64 x)))) (+.f64 (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)))) #s(literal 1/6 binary64))) eps (.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
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	97.3%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 eps (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 x (+.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) (.f64 eps (.f64 x (fma.f64 #s(literal 17/9 binary64) (.f64 eps eps) #s(literal 4/3 binary64))))) #s(literal 1 binary64)))))) #s(literal 1 binary64))) eps))
	97.1%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 eps (.f64 x (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64))))) #s(literal 1 binary64))) eps))
	3.7%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 eps (PI.f64))))
✓	97.2%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
	97.1%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (fma.f64 (.f64 (.f64 eps eps) x) (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 eps (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64))))))
	97.3%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (fma.f64 x (fma.f64 (.f64 eps x) (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (.f64 eps eps) (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) (.f64 eps (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64))))))
	97.3%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (fma.f64 x (fma.f64 x (fma.f64 (.f64 (.f64 eps eps) x) (fma.f64 #s(literal 17/9 binary64) (.f64 eps eps) #s(literal 4/3 binary64)) (.f64 eps (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) (.f64 (.f64 eps eps) (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) (.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64))))))
	97.2%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 #s(literal 17/315 binary64) (.f64 eps eps) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))))
	97.2%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 #s(literal 2/15 binary64) (*.f64 eps eps) #s(literal 1/3 binary64)) #s(literal 1 binary64)))))
▶	97.2%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) eps))

Compiler

Compiled 10 106 to 3 945 computations (61% saved)

series195.0ms (1.9%)

Memory

55.1MiB live, 302.6MiB allocated; 68ms collecting garbage

Counts

77 → 419

Calls

Call 1

Inputs
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(fma.f64 (-.f64 (.f64 (neg.f64 eps) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64))) (sin.f64 x) (.f64 (.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (sin.f64 x))) (cos.f64 x)))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64)))) eps (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)))
(-.f64 (.f64 (neg.f64 eps) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64))) (sin.f64 x) (.f64 (.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (sin.f64 x))) (cos.f64 x)))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64))))
(.f64 (neg.f64 eps) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64))) (sin.f64 x) (.f64 (.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (sin.f64 x))) (cos.f64 x))))
(neg.f64 eps)
eps
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(*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x))
(-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
#s(literal 1 binary64)
(neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan.f64 x)
x
#s(literal 2 binary64)
#s(literal -1/2 binary64)
(/.f64 (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64))) (sin.f64 x) (.f64 (.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (sin.f64 x))) (cos.f64 x))
(fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64))) (sin.f64 x) (.f64 (.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (sin.f64 x)))
(fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/.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))
(sin.f64 x)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
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#s(literal -1 binary64)
(+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(.f64 (.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (sin.f64 x))
(*.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) eps))
#s(approx (tan eps) eps)
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
(tan.f64 (+.f64 x eps))
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#s(approx (+ (* (- (* (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (+ (* (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (sin x)) (* (* 1/6 (- 1 (neg (pow (tan x) 2)))) (sin x))) (cos x)))) (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6))) eps) (* (- 1 (neg (pow (tan x) 2))) (tan x))) #s(hole binary64 (+ (* 1/3 eps) (* x (+ 1 (+ (* 2/3 (pow eps 2)) (* x (+ (* 4/3 eps) (* x (+ 4/3 (* 17/9 (pow eps 2))))))))))))
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#s(approx (- (* (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (+ (* (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (sin x)) (* (* 1/6 (- 1 (neg (pow (tan x) 2)))) (sin x))) (cos x)))) (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6))) #s(hole binary64 (+ 1/3 (* 2/3 (* eps x)))))
#s(approx (- (* (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (+ (* (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (sin x)) (* (* 1/6 (- 1 (neg (pow (tan x) 2)))) (sin x))) (cos x)))) (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6))) #s(hole binary64 (+ 1/3 (* x (+ (* 2/3 eps) (* 4/3 x))))))
#s(approx (- (* (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (+ (* (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (sin x)) (* (* 1/6 (- 1 (neg (pow (tan x) 2)))) (sin x))) (cos x)))) (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6))) #s(hole binary64 (+ 1/3 (* x (+ (* 2/3 eps) (* x (+ 4/3 (* 17/9 (* eps x)))))))))
#s(approx (* (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (+ (* (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (sin x)) (* (* 1/6 (- 1 (neg (pow (tan x) 2)))) (sin x))) (cos x)))) #s(hole binary64 (* 2/3 (* eps x))))
#s(approx (* (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (+ (* (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (sin x)) (* (* 1/6 (- 1 (neg (pow (tan x) 2)))) (sin x))) (cos x)))) #s(hole binary64 (* x (+ (* 2/3 eps) (* 17/9 (* eps (pow x 2)))))))
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#s(approx (* (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (+ (* (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (sin x)) (* (* 1/6 (- 1 (neg (pow (tan x) 2)))) (sin x))) (cos x)))) #s(hole binary64 (* x (+ (* 2/3 eps) (* (pow x 2) (+ (* 17/9 eps) (* (pow x 2) (+ (* 124/45 eps) (* 2764/945 (* eps (pow x 2)))))))))))
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#s(approx (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (+ (* (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (sin x)) (* (* 1/6 (- 1 (neg (pow (tan x) 2)))) (sin x))) (cos x))) #s(hole binary64 (* x (- (* -17/9 (pow x 2)) 2/3))))
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#s(approx (* (- 1 (neg (pow (tan x) 2))) (tan x)) #s(hole binary64 x))
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#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 1))
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#s(approx (tan x) #s(hole binary64 x))
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#s(approx x #s(hole binary64 x))
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#s(approx (sin x) #s(hole binary64 x))
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#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 (pow (cos x) 2) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (pow (cos x) 2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (pow (cos x) 2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6) #s(hole binary64 -1/3))
#s(approx (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6) #s(hole binary64 (- (* -1/3 (pow x 2)) 1/3)))
#s(approx (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6) #s(hole binary64 (- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/3)))
#s(approx (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/3)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 -1/2))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* -1/3 (pow x 2)) 1/2)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/2)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/2)))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/9 (pow x 2))))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/9 (* 17/270 (pow x 2))))))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/9 (* (pow x 2) (+ 17/270 (* 31/945 (pow x 2))))))))))
#s(approx (* (* 1/6 (- 1 (neg (pow (tan x) 2)))) (sin x)) #s(hole binary64 (* 1/6 x)))
#s(approx (* (* 1/6 (- 1 (neg (pow (tan x) 2)))) (sin x)) #s(hole binary64 (* x (+ 1/6 (* 5/36 (pow x 2))))))
#s(approx (* (* 1/6 (- 1 (neg (pow (tan x) 2)))) (sin x)) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (+ 5/36 (* 61/720 (pow x 2))))))))
#s(approx (* (* 1/6 (- 1 (neg (pow (tan x) 2)))) (sin x)) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (+ 5/36 (* (pow x 2) (+ 61/720 (* 277/6048 (pow x 2))))))))))
#s(approx (* 1/6 (- 1 (neg (pow (tan x) 2)))) #s(hole binary64 1/6))
#s(approx (* 1/6 (- 1 (neg (pow (tan x) 2)))) #s(hole binary64 (+ 1/6 (* 1/6 (pow x 2)))))
#s(approx (* 1/6 (- 1 (neg (pow (tan x) 2)))) #s(hole binary64 (+ 1/6 (* (pow x 2) (+ 1/6 (* 1/9 (pow x 2)))))))
#s(approx (* 1/6 (- 1 (neg (pow (tan x) 2)))) #s(hole binary64 (+ 1/6 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/9 (* 17/270 (pow x 2)))))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (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 x) 1/3) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* x x) 1/3) 1) x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (+ (* (* x x) 1/3) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/3) 1) #s(hole binary64 (+ 1 (* 1/3 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* x (- 1/3 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ x (/ (sin eps) (cos eps)))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (* x (+ 1 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps)))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (/ (sin eps) (cos eps)))))
#s(approx (+ (* eps (+ (* 1/3 (* eps eps)) 1)) (tan x)) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (+ (* eps (+ (* 1/3 (* eps eps)) 1)) (tan x)) #s(hole binary64 (+ x (* eps (+ 1 (* 1/3 (pow eps 2)))))))
#s(approx (+ (* eps (+ (* 1/3 (* eps eps)) 1)) (tan x)) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* x (+ 1 (* 1/3 (pow x 2)))))))
#s(approx (+ (* eps (+ (* 1/3 (* eps eps)) 1)) (tan x)) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 1))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (* x (sin eps)) (cos eps))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* x (- (* -1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps)))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* x (- (* (pow x 2) (- (* -2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (/ (* x (sin eps)) (cos eps))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* 1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/3 (/ (sin eps) (cos eps))) (* (pow x 2) (+ (* 17/315 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 2/15 (/ (sin eps) (cos eps))))))) (/ (sin eps) (cos eps))))))
#s(approx (* (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (* (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow eps 2) (* x (+ 1 (* 2/3 (pow eps 2))))))))
#s(approx (* (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2)))))))))
#s(approx (* (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* x (+ (* x (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (* (pow eps 2) (* x (+ 4/3 (* 17/9 (pow eps 2))))))) (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2)))))))))
#s(approx (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* 1/3 (pow eps 2)))))
#s(approx (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2)))))))))
#s(approx (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))))))))
#s(approx (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (+ (* 4/3 (pow eps 2)) (* eps (* x (+ 4/3 (* 17/9 (pow eps 2))))))))))))))
#s(approx (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (+ 1 (* 1/3 (pow eps 2)))))
#s(approx (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2)))))))))
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#s(approx (+ (* eps (+ (* 1/3 (* eps eps)) 1)) (tan x)) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (+ (* eps (+ (* 1/3 (* eps eps)) 1)) (tan x)) #s(hole binary64 (+ eps (/ (sin x) (cos x)))))
#s(approx (+ (* 1/3 (* eps eps)) 1) #s(hole binary64 1))
#s(approx (+ (* 1/3 (* eps eps)) 1) #s(hole binary64 (+ 1 (* 1/3 (pow eps 2)))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (* eps (sin x)) (cos x))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* eps (- (* -1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x)))))))
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Calls

6 calls:

Time	Variable		Point	Expression
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(sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6))) (* (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (+ (* (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (sin x)) (* (* 1/6 (- 1 (neg (pow (tan x) 2)))) (sin x))) (cos x)))) (neg eps) eps (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (+ (* (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (sin x)) (* (* 1/6 (- 1 (neg (pow (tan x) 2)))) (sin x))) (cos x))) (* (- 1 (neg (pow (tan x) 2))) (tan x)) (- 1 (neg (pow (tan x) 2))) 1 (neg (pow (tan x) 2)) (pow (tan x) 2) (tan x) x 2 -1/2 (/ (+ (* (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (sin x)) (* (* 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x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (+ (tan x) (tan eps)) (+ (* eps (+ (* 1/3 (* eps eps)) 1)) (tan x)) (+ (* 1/3 (* eps eps)) 1) (* eps eps) (- 1 (* (tan x) (tan eps))) (* (tan x) (tan eps)) (tan eps) (- (tan (+ x eps)) (tan x)) (* (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* 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(+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x))) (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (* (- 1 (neg (pow (tan x) 2))) (sin x)) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)) (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) 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rewrite385.0ms (3.7%)

Memory

-31.0MiB live, 374.4MiB allocated; 103ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1567	41804
0	1719	40396
0	8135	39677

Stop Event

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

Counts

496 → 624

Calls

Call 1

Inputs
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#s(approx (+ (* (- (* (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (+ (* (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (sin x)) (* (* 1/6 (- 1 (neg (pow (tan x) 2)))) (sin x))) (cos x)))) (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6))) eps) (* (- 1 (neg (pow (tan x) 2))) (tan x))) #s(hole binary64 (+ (* 1/3 eps) (* x (+ 1 (+ (* 2/3 (pow eps 2)) (* x (+ (* 4/3 eps) (* x (+ 4/3 (* 17/9 (pow eps 2))))))))))))
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#s(approx (- (* (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (+ (* (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (sin x)) (* (* 1/6 (- 1 (neg (pow (tan x) 2)))) (sin x))) (cos x)))) (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6))) #s(hole binary64 (+ 1/3 (* 2/3 (* eps x)))))
#s(approx (- (* (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (+ (* (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (sin x)) (* (* 1/6 (- 1 (neg (pow (tan x) 2)))) (sin x))) (cos x)))) (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6))) #s(hole binary64 (+ 1/3 (* x (+ (* 2/3 eps) (* 4/3 x))))))
#s(approx (- (* (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (+ (* (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (sin x)) (* (* 1/6 (- 1 (neg (pow (tan x) 2)))) (sin x))) (cos x)))) (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6))) #s(hole binary64 (+ 1/3 (* x (+ (* 2/3 eps) (* x (+ 4/3 (* 17/9 (* eps x)))))))))
#s(approx (* (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (+ (* (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (sin x)) (* (* 1/6 (- 1 (neg (pow (tan x) 2)))) (sin x))) (cos x)))) #s(hole binary64 (* 2/3 (* eps x))))
#s(approx (* (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (+ (* (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (sin x)) (* (* 1/6 (- 1 (neg (pow (tan x) 2)))) (sin x))) (cos x)))) #s(hole binary64 (* x (+ (* 2/3 eps) (* 17/9 (* eps (pow x 2)))))))
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#s(approx (* (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (+ (* (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (sin x)) (* (* 1/6 (- 1 (neg (pow (tan x) 2)))) (sin x))) (cos x)))) #s(hole binary64 (* x (+ (* 2/3 eps) (* (pow x 2) (+ (* 17/9 eps) (* (pow x 2) (+ (* 124/45 eps) (* 2764/945 (* eps (pow x 2)))))))))))
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#s(approx (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (+ (* (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (sin x)) (* (* 1/6 (- 1 (neg (pow (tan x) 2)))) (sin x))) (cos x))) #s(hole binary64 (* x (- (* -17/9 (pow x 2)) 2/3))))
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#s(approx (* (- 1 (neg (pow (tan x) 2))) (tan x)) #s(hole binary64 x))
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#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 1))
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#s(approx (tan x) #s(hole binary64 x))
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#s(approx x #s(hole binary64 x))
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#s(approx (sin x) #s(hole binary64 x))
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#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 (pow (cos x) 2) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (pow (cos x) 2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (pow (cos x) 2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6) #s(hole binary64 -1/3))
#s(approx (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6) #s(hole binary64 (- (* -1/3 (pow x 2)) 1/3)))
#s(approx (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6) #s(hole binary64 (- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/3)))
#s(approx (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/3)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 -1/2))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* -1/3 (pow x 2)) 1/2)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/2)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/2)))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/9 (pow x 2))))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/9 (* 17/270 (pow x 2))))))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/9 (* (pow x 2) (+ 17/270 (* 31/945 (pow x 2))))))))))
#s(approx (* (* 1/6 (- 1 (neg (pow (tan x) 2)))) (sin x)) #s(hole binary64 (* 1/6 x)))
#s(approx (* (* 1/6 (- 1 (neg (pow (tan x) 2)))) (sin x)) #s(hole binary64 (* x (+ 1/6 (* 5/36 (pow x 2))))))
#s(approx (* (* 1/6 (- 1 (neg (pow (tan x) 2)))) (sin x)) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (+ 5/36 (* 61/720 (pow x 2))))))))
#s(approx (* (* 1/6 (- 1 (neg (pow (tan x) 2)))) (sin x)) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (+ 5/36 (* (pow x 2) (+ 61/720 (* 277/6048 (pow x 2))))))))))
#s(approx (* 1/6 (- 1 (neg (pow (tan x) 2)))) #s(hole binary64 1/6))
#s(approx (* 1/6 (- 1 (neg (pow (tan x) 2)))) #s(hole binary64 (+ 1/6 (* 1/6 (pow x 2)))))
#s(approx (* 1/6 (- 1 (neg (pow (tan x) 2)))) #s(hole binary64 (+ 1/6 (* (pow x 2) (+ 1/6 (* 1/9 (pow x 2)))))))
#s(approx (* 1/6 (- 1 (neg (pow (tan x) 2)))) #s(hole binary64 (+ 1/6 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/9 (* 17/270 (pow x 2)))))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (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 x) 1/3) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* x x) 1/3) 1) x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (+ (* (* x x) 1/3) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/3) 1) #s(hole binary64 (+ 1 (* 1/3 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* x (- 1/3 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ x (/ (sin eps) (cos eps)))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (* x (+ 1 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps)))))
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (/ (sin eps) (cos eps)))))
#s(approx (+ (* eps (+ (* 1/3 (* eps eps)) 1)) (tan x)) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (+ (* eps (+ (* 1/3 (* eps eps)) 1)) (tan x)) #s(hole binary64 (+ x (* eps (+ 1 (* 1/3 (pow eps 2)))))))
#s(approx (+ (* eps (+ (* 1/3 (* eps eps)) 1)) (tan x)) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* x (+ 1 (* 1/3 (pow x 2)))))))
#s(approx (+ (* eps (+ (* 1/3 (* eps eps)) 1)) (tan x)) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 1))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (* x (sin eps)) (cos eps))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* x (- (* -1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps)))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* x (- (* (pow x 2) (- (* -2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (/ (* x (sin eps)) (cos eps))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* 1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/3 (/ (sin eps) (cos eps))) (* (pow x 2) (+ (* 17/315 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 2/15 (/ (sin eps) (cos eps))))))) (/ (sin eps) (cos eps))))))
#s(approx (* (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (* (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow eps 2) (* x (+ 1 (* 2/3 (pow eps 2))))))))
#s(approx (* (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2)))))))))
#s(approx (* (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* x (+ (* x (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (* (pow eps 2) (* x (+ 4/3 (* 17/9 (pow eps 2))))))) (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2)))))))))
#s(approx (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* 1/3 (pow eps 2)))))
#s(approx (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2)))))))))
#s(approx (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))))))))
#s(approx (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (+ (* 4/3 (pow eps 2)) (* eps (* x (+ 4/3 (* 17/9 (pow eps 2))))))))))))))
#s(approx (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (+ 1 (* 1/3 (pow eps 2)))))
#s(approx (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2)))))))))
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#s(approx (+ (* eps (+ (* 1/3 (* eps eps)) 1)) (tan x)) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (+ (* eps (+ (* 1/3 (* eps eps)) 1)) (tan x)) #s(hole binary64 (+ eps (/ (sin x) (cos x)))))
#s(approx (+ (* 1/3 (* eps eps)) 1) #s(hole binary64 1))
#s(approx (+ (* 1/3 (* eps eps)) 1) #s(hole binary64 (+ 1 (* 1/3 (pow eps 2)))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (* eps (sin x)) (cos x))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* eps (- (* -1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x)))))))
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#s(approx (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* -1 (/ (- (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ 1 eps)) eps))) eps)) (+ (* -1/2 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (+ (* 1/6 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))))))
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Outputs
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#s(approx (- (* (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (+ (* (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (sin x)) (* (* 1/6 (- 1 (neg (pow (tan x) 2)))) (sin x))) (cos x)))) (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6))) (neg.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))
#s(approx (neg eps) (neg.f64 eps))
#s(approx eps eps)
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 eps (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 #s(literal -1 binary64) (-.f64 (.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (fma.f64 eps (-.f64 (neg.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)))))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
#s(approx (tan eps) eps)
#s(approx (tan eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))))
#s(approx (tan eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2/15 binary64) (*.f64 eps eps)))))))
#s(approx (tan eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal 17/315 binary64) (*.f64 eps eps)))))))))
#s(approx (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan.f64 x))
#s(approx (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (fma.f64 eps (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (tan.f64 x)))
#s(approx (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (fma.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (tan.f64 x)))
#s(approx (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (fma.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 #s(literal -1 binary64) (-.f64 (.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (tan.f64 x)))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (*.f64 eps (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (.f64 eps (fma.f64 #s(literal -1 binary64) (tan.f64 x) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))))))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (fma.f64 #s(literal -1 binary64) (tan.f64 x) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))))))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 eps (-.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 (.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1/3 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (fma.f64 #s(literal -1/3 binary64) (tan.f64 x) (fma.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (/.f64 (.f64 (sin.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (fma.f64 #s(literal -1 binary64) (tan.f64 x) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))))))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
#s(approx (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan.f64 x))
#s(approx (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (fma.f64 eps (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (tan.f64 x)))
#s(approx (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (fma.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (tan.f64 x)))
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#s(approx (+ (tan x) (tan eps)) (tan.f64 x))
#s(approx (+ (tan x) (tan eps)) (+.f64 eps (tan.f64 x)))
#s(approx (+ (tan x) (tan eps)) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (tan.f64 x)))
#s(approx (+ (tan x) (tan eps)) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2/15 binary64) (.f64 eps eps))))) (tan.f64 x)))
#s(approx (+ (* eps (+ (* 1/3 (* eps eps)) 1)) (tan x)) (tan.f64 x))
#s(approx (+ (* eps (+ (* 1/3 (* eps eps)) 1)) (tan x)) (+.f64 eps (tan.f64 x)))
#s(approx (+ (* 1/3 (* eps eps)) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/3 (* eps eps)) 1) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))))
#s(approx (* eps eps) (*.f64 eps eps))
#s(approx (- 1 (* (tan x) (tan eps))) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))))
#s(approx (- 1 (* (tan x) (tan eps))) (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1/3 binary64) (/.f64 (.f64 (.f64 eps eps) (sin.f64 x)) (cos.f64 x))) (tan.f64 x)))))
#s(approx (- 1 (* (tan x) (tan eps))) (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 (.f64 eps eps) (fma.f64 #s(literal -2/15 binary64) (/.f64 (.f64 (.f64 eps eps) (sin.f64 x)) (cos.f64 x)) (.f64 #s(literal -1/3 binary64) (tan.f64 x)))) (tan.f64 x)))))
#s(approx (* (tan x) (tan eps)) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
#s(approx (* (tan x) (tan eps)) (.f64 eps (fma.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (*.f64 eps eps) (sin.f64 x)) (cos.f64 x)) (tan.f64 x))))
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#s(approx (tan eps) (tan.f64 eps))
#s(approx (+ x eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (+ (* eps (+ (* 1/3 (* eps eps)) 1)) (tan x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 3 binary64))))
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#s(approx (+ (* 1/3 (* eps eps)) 1) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)))
#s(approx (+ (* 1/3 (* eps eps)) 1) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal -2 binary64)))))
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#s(approx (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (neg.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps))) eps))) eps) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x))))))))
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#s(approx (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 eps (cos.f64 x)))) eps) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x))))))))
#s(approx (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (/.f64 (-.f64 (neg.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (pow.f64 eps #s(literal -1 binary64))) eps))) eps) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x))))))))
#s(approx (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)))) (neg.f64 (/.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 eps (cos.f64 x))) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) eps)))))
#s(approx (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (neg.f64 (.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (fma.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 eps #s(literal -1 binary64))) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x))))))))))

eval399.0ms (3.8%)

Memory: 58.6MiB live, 615.4MiB allocated; 73ms collecting garbage
Compiler: Compiled 234 418 to 10 186 computations (95.7% saved)

prune154.0ms (1.5%)

Memory

-31.3MiB live, 260.9MiB allocated; 78ms collecting garbage

Pruning

56 alts after pruning (48 fresh and 8 done)

	Pruned	Kept	Total
New	1 517	26	1 543
Fresh	19	22	41
Picked	2	3	5
Done	0	5	5
Total	1 538	56	1 594

Accuracy

99.9%

Counts

1 594 → 56

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.6%	(/.f64 (-.f64 (.f64 (/.f64 #s(approx (+ (tan x) (tan eps)) (fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 #s(approx (+ (tan x) (tan eps)) (fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(approx (+ (tan x) (tan eps)) (fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
	61.5%	(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
✓	61.8%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
	60.9%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(approx (tan eps) eps)))) (tan.f64 x))
	61.5%	(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (tan.f64 x))
	61.2%	(-.f64 (/.f64 #s(approx (+ (tan x) (tan eps)) (fma.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 #s(literal 2/15 binary64) (.f64 eps eps) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
✓	61.1%	(-.f64 (/.f64 #s(approx (+ (tan x) (tan eps)) (fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
▶	61.8%	(-.f64 (+.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
	5.1%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (PI.f64))) (tan.f64 x))
	5.1%	(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (tan.f64 x))
	3.4%	(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
	3.5%	(-.f64 (tan.f64 (+.f64 (+.f64 eps x) (PI.f64))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
✓	7.8%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))))
	8.0%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 #s(approx (+ x (PI)) x) (PI.f64))))
✓	61.5%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓	59.8%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
▶	59.8%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 17/315 (* x x)) 2/15) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
✓	59.6%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
▶	99.1%	#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 eps) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)) #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 x) (+.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64))) (.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))) (cos.f64 x)))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64)))) eps (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x))) eps (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
	98.8%	#s(approx (- (tan (+ x eps)) (tan (+ (+ x (PI)) (PI)))) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 eps) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64))) (sin.f64 x) (.f64 (.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) #s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x))))))) (cos.f64 x)))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64)))) eps (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x))) eps (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
	98.3%	#s(approx (- (tan (+ x eps)) (tan (+ (+ x (PI)) (PI)))) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 eps) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64))) (sin.f64 x) #s(approx ( (* 1/6 (- 1 (neg (pow (tan x) 2)))) (sin x)) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 5/36 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 61/720 binary64) (.f64 #s(literal 277/6048 binary64) (.f64 x x)))))))))) (cos.f64 x)))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64)))) eps (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x))) eps (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
	98.6%	#s(approx (- (tan (+ x eps)) (tan (+ (+ x (PI)) (PI)))) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 eps) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64))) (sin.f64 x) #s(approx ( (* 1/6 (- 1 (neg (pow (tan x) 2)))) (sin x)) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 5/36 binary64) (.f64 #s(literal 61/720 binary64) (.f64 x x)))))))) (cos.f64 x)))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64)))) eps (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x))) eps (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
	99.0%	#s(approx (- (tan (+ x eps)) (tan (+ (+ x (PI)) (PI)))) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 eps) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64))) (sin.f64 x) #s(approx ( (* 1/6 (- 1 (neg (pow (tan x) 2)))) (sin x)) (.f64 #s(literal 1/6 binary64) x))) (cos.f64 x)))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64)))) eps (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x))) eps (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
	98.4%	#s(approx (- (tan (+ x eps)) (tan (+ (+ x (PI)) (PI)))) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 eps) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) #s(approx (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6) (-.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(literal -17/135 binary64) (.f64 x x)) #s(literal 2/9 binary64))) #s(literal 1/3 binary64))) #s(literal 1/3 binary64)))) (sin.f64 x) (.f64 (.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (sin.f64 x))) (cos.f64 x)))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64)))) eps (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x))) eps (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
	98.7%	#s(approx (- (tan (+ x eps)) (tan (+ (+ x (PI)) (PI)))) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 eps) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) #s(approx (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6) (-.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(literal -2/9 binary64) (.f64 x x)) #s(literal 1/3 binary64))) #s(literal 1/3 binary64)))) (sin.f64 x) (.f64 (.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (sin.f64 x))) (cos.f64 x)))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64)))) eps (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x))) eps (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
	98.8%	#s(approx (- (tan (+ x eps)) (tan (+ (+ x (PI)) (PI)))) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 eps) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) #s(approx (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6) (-.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) #s(literal 1/3 binary64)))) (sin.f64 x) (.f64 (.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (sin.f64 x))) (cos.f64 x)))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64)))) eps (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x))) eps (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
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✓	97.2%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
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Compiler

Compiled 11 755 to 4 685 computations (60.1% saved)

series143.0ms (1.4%)

Memory

23.5MiB live, 209.5MiB allocated; 16ms collecting garbage

Counts

76 → 443

Calls

Call 1

Inputs
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Outputs
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#s(approx (+ (* (- (* (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (* (sin x) (+ (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (* 1/6 (- 1 (neg (pow (tan x) 2)))))) (cos x)))) (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6))) eps) (* (- 1 (neg (pow (tan x) 2))) (tan x))) #s(hole binary64 (+ (* 1/3 eps) (* x (+ 1 (+ (* 2/3 (pow eps 2)) (* x (+ (* 4/3 eps) (* x (+ 4/3 (* 17/9 (pow eps 2))))))))))))
#s(approx (- (* (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (* (sin x) (+ (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (* 1/6 (- 1 (neg (pow (tan x) 2)))))) (cos x)))) (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6))) #s(hole binary64 1/3))
#s(approx (- (* (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (* (sin x) (+ (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (* 1/6 (- 1 (neg (pow (tan x) 2)))))) (cos x)))) (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6))) #s(hole binary64 (+ 1/3 (* 2/3 (* eps x)))))
#s(approx (- (* (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (* (sin x) (+ (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (* 1/6 (- 1 (neg (pow (tan x) 2)))))) (cos x)))) (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6))) #s(hole binary64 (+ 1/3 (* x (+ (* 2/3 eps) (* 4/3 x))))))
#s(approx (- (* (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (* (sin x) (+ (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (* 1/6 (- 1 (neg (pow (tan x) 2)))))) (cos x)))) (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6))) #s(hole binary64 (+ 1/3 (* x (+ (* 2/3 eps) (* x (+ 4/3 (* 17/9 (* eps x)))))))))
#s(approx (* (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (* (sin x) (+ (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (* 1/6 (- 1 (neg (pow (tan x) 2)))))) (cos x)))) #s(hole binary64 (* 2/3 (* eps x))))
#s(approx (* (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (* (sin x) (+ (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (* 1/6 (- 1 (neg (pow (tan x) 2)))))) (cos x)))) #s(hole binary64 (* x (+ (* 2/3 eps) (* 17/9 (* eps (pow x 2)))))))
#s(approx (* (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (* (sin x) (+ (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (* 1/6 (- 1 (neg (pow (tan x) 2)))))) (cos x)))) #s(hole binary64 (* x (+ (* 2/3 eps) (* (pow x 2) (+ (* 17/9 eps) (* 124/45 (* eps (pow x 2)))))))))
#s(approx (* (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (* (sin x) (+ (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (* 1/6 (- 1 (neg (pow (tan x) 2)))))) (cos x)))) #s(hole binary64 (* x (+ (* 2/3 eps) (* (pow x 2) (+ (* 17/9 eps) (* (pow x 2) (+ (* 124/45 eps) (* 2764/945 (* eps (pow x 2)))))))))))
#s(approx (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (* (sin x) (+ (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (* 1/6 (- 1 (neg (pow (tan x) 2)))))) (cos x))) #s(hole binary64 (* -2/3 x)))
#s(approx (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (* (sin x) (+ (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (* 1/6 (- 1 (neg (pow (tan x) 2)))))) (cos x))) #s(hole binary64 (* x (- (* -17/9 (pow x 2)) 2/3))))
#s(approx (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (* (sin x) (+ (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (* 1/6 (- 1 (neg (pow (tan x) 2)))))) (cos x))) #s(hole binary64 (* x (- (* (pow x 2) (- (* -124/45 (pow x 2)) 17/9)) 2/3))))
#s(approx (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (* (sin x) (+ (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (* 1/6 (- 1 (neg (pow (tan x) 2)))))) (cos x))) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2764/945 (pow x 2)) 124/45)) 17/9)) 2/3))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (tan x)) #s(hole binary64 x))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (tan x)) #s(hole binary64 (* x (+ 1 (* 4/3 (pow x 2))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (tan x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 4/3 (* 17/15 (pow x 2))))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (tan x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/15 (* 248/315 (pow x 2))))))))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 1))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))))
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (- (* -2/3 (pow x 2)) 1))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1))))
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -62/315 (pow x 2)) 17/45)) 2/3)) 1))))
#s(approx (pow (tan x) 2) #s(hole binary64 (pow x 2)))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))))
#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (* (sin x) (+ (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (* 1/6 (- 1 (neg (pow (tan x) 2)))))) (cos x)) #s(hole binary64 (* -1/6 x)))
#s(approx (/ (* (sin x) (+ (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (* 1/6 (- 1 (neg (pow (tan x) 2)))))) (cos x)) #s(hole binary64 (* x (- (* -11/9 (pow x 2)) 1/6))))
#s(approx (/ (* (sin x) (+ (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (* 1/6 (- 1 (neg (pow (tan x) 2)))))) (cos x)) #s(hole binary64 (* x (- (* (pow x 2) (- (* -197/90 (pow x 2)) 11/9)) 1/6))))
#s(approx (/ (* (sin x) (+ (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (* 1/6 (- 1 (neg (pow (tan x) 2)))))) (cos x)) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2392/945 (pow x 2)) 197/90)) 11/9)) 1/6))))
#s(approx (* (sin x) (+ (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (* 1/6 (- 1 (neg (pow (tan x) 2)))))) #s(hole binary64 (* -1/6 x)))
#s(approx (* (sin x) (+ (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (* 1/6 (- 1 (neg (pow (tan x) 2)))))) #s(hole binary64 (* x (- (* -41/36 (pow x 2)) 1/6))))
#s(approx (* (sin x) (+ (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (* 1/6 (- 1 (neg (pow (tan x) 2)))))) #s(hole binary64 (* x (- (* (pow x 2) (- (* -1141/720 (pow x 2)) 41/36)) 1/6))))
#s(approx (* (sin x) (+ (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (* 1/6 (- 1 (neg (pow (tan x) 2)))))) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -44981/30240 (pow x 2)) 1141/720)) 41/36)) 1/6))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (+ (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (* 1/6 (- 1 (neg (pow (tan x) 2))))) #s(hole binary64 -1/6))
#s(approx (+ (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (* 1/6 (- 1 (neg (pow (tan x) 2))))) #s(hole binary64 (- (* -7/6 (pow x 2)) 1/6)))
#s(approx (+ (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (* 1/6 (- 1 (neg (pow (tan x) 2))))) #s(hole binary64 (- (* (pow x 2) (- (* -16/9 (pow x 2)) 7/6)) 1/6)))
#s(approx (+ (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (* 1/6 (- 1 (neg (pow (tan x) 2))))) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -479/270 (pow x 2)) 16/9)) 7/6)) 1/6)))
#s(approx (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) #s(hole binary64 -1/3))
#s(approx (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) #s(hole binary64 (- (* -4/3 (pow x 2)) 1/3)))
#s(approx (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) #s(hole binary64 (- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/3)))
#s(approx (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/3)))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) #s(hole binary64 (pow x 2)))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) #s(hole binary64 (* (pow x 2) (+ 1 (* 5/3 (pow x 2))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 5/3 (* 77/45 (pow x 2))))))))
#s(approx (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 5/3 (* (pow x 2) (+ 77/45 (* 88/63 (pow x 2))))))))))
#s(approx (/ (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) #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 (pow (cos x) 2) #s(hole binary64 1))
#s(approx (pow (cos x) 2) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (pow (cos x) 2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (pow (cos x) 2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6) #s(hole binary64 -1/3))
#s(approx (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6) #s(hole binary64 (- (* -1/3 (pow x 2)) 1/3)))
#s(approx (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6) #s(hole binary64 (- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/3)))
#s(approx (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/3)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 -1/2))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* -1/3 (pow x 2)) 1/2)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/2)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/2)))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/9 (pow x 2))))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/9 (* 17/270 (pow x 2))))))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/9 (* (pow x 2) (+ 17/270 (* 31/945 (pow x 2))))))))))
#s(approx (* 1/6 (- 1 (neg (pow (tan x) 2)))) #s(hole binary64 1/6))
#s(approx (* 1/6 (- 1 (neg (pow (tan x) 2)))) #s(hole binary64 (+ 1/6 (* 1/6 (pow x 2)))))
#s(approx (* 1/6 (- 1 (neg (pow (tan x) 2)))) #s(hole binary64 (+ 1/6 (* (pow x 2) (+ 1/6 (* 1/9 (pow x 2)))))))
#s(approx (* 1/6 (- 1 (neg (pow (tan x) 2)))) #s(hole binary64 (+ 1/6 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/9 (* 17/270 (pow x 2)))))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
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#s(approx (+ x eps) #s(hole binary64 eps))
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#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 1/3))
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#s(approx (+ (* 17/315 (* x x)) 2/15) #s(hole binary64 2/15))
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#s(approx (* x x) #s(hole binary64 (pow x 2)))
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Calls

6 calls:

Time	Variable		Point	Expression
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2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6))) (* (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (* (sin x) (+ (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (* 1/6 (- 1 (neg (pow (tan x) 2)))))) (cos x)))) (neg eps) eps (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (* (sin x) (+ (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (* 1/6 (- 1 (neg (pow (tan x) 2)))))) (cos x))) (* (- 1 (neg (pow (tan x) 2))) (tan x)) (- 1 (neg (pow (tan x) 2))) 1 (neg (pow (tan x) 2)) (pow (tan x) 2) (tan x) x 2 -1/2 (/ (* (sin x) (+ (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (* 1/6 (- 1 (neg (pow (tan x) 2)))))) (cos x)) (* (sin x) (+ (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (* 1/6 (- 1 (neg (pow (tan x) 2)))))) (sin x) (+ (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (* 1/6 (- 1 (neg (pow (tan x) 2))))) (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)) (pow (sin x) 2) (pow (cos x) 2) (cos x) -1 (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (pow (tan x) 2) 1/6) 1/6 (* 1/6 (- 1 (neg (pow (tan x) 2)))) (- (tan (+ x eps)) (tan x)) (* (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+ (* 1/3 (* eps eps)) 1) 1/3 (* eps eps) (- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x) (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (+ (* 17/315 (* x x)) 2/15) 2/15 (* x x) (- (+ (/ (tan x) (- 1 (* (tan x) (tan eps)))) (/ (tan eps) (- 1 (* (tan x) (tan eps))))) (tan x)) (+ (/ (tan x) (- 1 (* (tan x) (tan eps)))) (/ (tan eps) (- 1 (* (tan x) (tan eps))))) (/ (tan x) (- 1 (* (tan x) (tan eps)))) (- 1 (* (tan x) (tan eps))) (* (tan x) (tan eps)) (tan eps) (/ (tan eps) (- 1 (* (tan x) (tan eps)))) (- (tan (+ x eps)) (tan (+ (+ x (PI)) (PI)))) (* (+ (* (+ (* (- (* (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (+ (* (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (sin x)) (* (* 1/6 (- 1 (neg (pow (tan x) 2)))) (sin x))) (cos x)))) (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6))) eps) (* (- 1 (neg (pow (tan x) 2))) (tan x))) eps) (- 1 (neg (pow (tan x) 2)))) eps) (+ (* (+ (* (- (* (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (+ (* (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (sin x)) (* (* 1/6 (- 1 (neg (pow (tan x) 2)))) (sin x))) (cos x)))) (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6))) eps) (* (- 1 (neg (pow (tan x) 2))) (tan x))) eps) (- 1 (neg (pow (tan x) 2)))) (+ (* (- (* (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (+ (* (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ 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22.0ms	x	@	inf	((- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (* (+ (* (+ (* (- (* (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (* (sin x) (+ (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (* 1/6 (- 1 (neg (pow (tan x) 2)))))) (cos x)))) (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6))) eps) (* (- 1 (neg (pow (tan x) 2))) (tan x))) eps) (- 1 (neg (pow (tan x) 2)))) eps) (+ (* (+ (* (- (* (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (* (sin x) (+ (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (* 1/6 (- 1 (neg (pow (tan x) 2)))))) (cos x)))) (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ 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rewrite299.0ms (2.9%)

Memory

-3.7MiB live, 325.8MiB allocated; 53ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1711	46768
0	1848	45663
0	8166	44372

Stop Event

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

Counts

519 → 641

Calls

Call 1

Inputs
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#s(approx (- (* (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (* (sin x) (+ (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (* 1/6 (- 1 (neg (pow (tan x) 2)))))) (cos x)))) (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6))) #s(hole binary64 (+ 1/3 (* 2/3 (* eps x)))))
#s(approx (- (* (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (* (sin x) (+ (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (* 1/6 (- 1 (neg (pow (tan x) 2)))))) (cos x)))) (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6))) #s(hole binary64 (+ 1/3 (* x (+ (* 2/3 eps) (* 4/3 x))))))
#s(approx (- (* (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (* (sin x) (+ (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (* 1/6 (- 1 (neg (pow (tan x) 2)))))) (cos x)))) (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6))) #s(hole binary64 (+ 1/3 (* x (+ (* 2/3 eps) (* x (+ 4/3 (* 17/9 (* eps x)))))))))
#s(approx (* (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (* (sin x) (+ (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (* 1/6 (- 1 (neg (pow (tan x) 2)))))) (cos x)))) #s(hole binary64 (* 2/3 (* eps x))))
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#s(approx x #s(hole binary64 x))
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#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) #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 (pow (cos x) 2) #s(hole binary64 1))
#s(approx (pow (cos x) 2) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (pow (cos x) 2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (pow (cos x) 2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6) #s(hole binary64 -1/3))
#s(approx (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6) #s(hole binary64 (- (* -1/3 (pow x 2)) 1/3)))
#s(approx (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6) #s(hole binary64 (- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/3)))
#s(approx (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/3)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 -1/2))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* -1/3 (pow x 2)) 1/2)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/2)))
#s(approx (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/2)))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/9 (pow x 2))))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/9 (* 17/270 (pow x 2))))))))
#s(approx (* (pow (tan x) 2) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/9 (* (pow x 2) (+ 17/270 (* 31/945 (pow x 2))))))))))
#s(approx (* 1/6 (- 1 (neg (pow (tan x) 2)))) #s(hole binary64 1/6))
#s(approx (* 1/6 (- 1 (neg (pow (tan x) 2)))) #s(hole binary64 (+ 1/6 (* 1/6 (pow x 2)))))
#s(approx (* 1/6 (- 1 (neg (pow (tan x) 2)))) #s(hole binary64 (+ 1/6 (* (pow x 2) (+ 1/6 (* 1/9 (pow x 2)))))))
#s(approx (* 1/6 (- 1 (neg (pow (tan x) 2)))) #s(hole binary64 (+ 1/6 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/9 (* 17/270 (pow x 2)))))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (* (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (* (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow eps 2) (* x (+ 1 (* 2/3 (pow eps 2))))))))
#s(approx (* (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2)))))))))
#s(approx (* (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* x (+ (* x (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (* (pow eps 2) (* x (+ 4/3 (* 17/9 (pow eps 2))))))) (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2)))))))))
#s(approx (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* 1/3 (pow eps 2)))))
#s(approx (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2)))))))))
#s(approx (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2))))))))))
#s(approx (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (+ (* 4/3 (pow eps 2)) (* eps (* x (+ 4/3 (* 17/9 (pow eps 2))))))))))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/3 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (+ 1/3 (* 2/15 (pow x 2)))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))
#s(approx (+ (* 17/315 (* x x)) 2/15) #s(hole binary64 2/15))
#s(approx (+ (* 17/315 (* x x)) 2/15) #s(hole binary64 (+ 2/15 (* 17/315 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (+ (/ (tan x) (- 1 (* (tan x) (tan eps)))) (/ (tan eps) (- 1 (* (tan x) (tan eps))))) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (+ (/ (tan x) (- 1 (* (tan x) (tan eps)))) (/ (tan eps) (- 1 (* (tan x) (tan eps))))) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (- (+ (/ (tan x) (- 1 (* (tan x) (tan eps)))) (/ (tan eps) (- 1 (* (tan x) (tan eps))))) (tan x)) #s(hole binary64 (+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (- (+ (/ (tan x) (- 1 (* (tan x) (tan eps)))) (/ (tan eps) (- 1 (* (tan x) (tan eps))))) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (+ (/ (tan x) (- 1 (* (tan x) (tan eps)))) (/ (tan eps) (- 1 (* (tan x) (tan eps))))) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (+ (/ (tan x) (- 1 (* (tan x) (tan eps)))) (/ (tan eps) (- 1 (* (tan x) (tan eps))))) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (+ (/ (tan x) (- 1 (* (tan x) (tan eps)))) (/ (tan eps) (- 1 (* (tan x) (tan eps))))) #s(hole binary64 (+ (* x (- (+ 1 (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (+ (/ (tan x) (- 1 (* (tan x) (tan eps)))) (/ (tan eps) (- 1 (* (tan x) (tan eps))))) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* x (- 1/3 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (/ (tan x) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 x))
#s(approx (/ (tan x) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (* x (+ 1 (/ (* x (sin eps)) (cos eps))))))
#s(approx (/ (tan x) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (* x (+ 1 (* x (- (* x (- 1/3 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1 (/ (sin eps) (cos eps)))))))))
#s(approx (/ (tan x) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (* x (+ 1 (* x (- (* x (- (+ 1/3 (* -1 (* x (+ (* -1 (/ (* (sin eps) (- 1/3 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (* -1/3 (/ (sin eps) (cos eps))))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1 (/ (sin eps) (cos eps)))))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 1))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (* x (sin eps)) (cos eps))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* x (- (* -1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps)))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* x (- (* (pow x 2) (- (* -2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (/ (* x (sin eps)) (cos eps))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* 1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))))))
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/3 (/ (sin eps) (cos eps))) (* (pow x 2) (+ (* 17/315 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 2/15 (/ (sin eps) (cos eps))))))) (/ (sin eps) (cos eps))))))
#s(approx (/ (tan eps) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (/ (tan eps) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (/ (tan eps) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (+ (* x (- (/ (* x (pow (sin eps) 3)) (pow (cos eps) 3)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (/ (tan eps) (- 1 (* (tan x) (tan eps)))) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
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#s(approx (cos x) #s(hole binary64 (cos x)))
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Outputs
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(tan.f64 x)
x
#s(literal 2 binary64)
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#s(approx (tan (+ x eps)) (fma.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (cos.f64 eps)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (tan.f64 eps)))
#s(approx (+ x eps) eps)
#s(approx (+ x eps) (+.f64 eps x))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) x)
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2/15 binary64) (*.f64 x x)))))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal 17/315 binary64) (*.f64 x x)))))))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2/15 binary64) (.f64 x x))))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal 17/315 binary64) (.f64 x x))))))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) #s(literal 1/3 binary64))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2/15 binary64) (.f64 x x))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal 17/315 binary64) (.f64 x x))))))
#s(approx (+ (* 17/315 (* x x)) 2/15) #s(literal 2/15 binary64))
#s(approx (+ (* 17/315 (* x x)) 2/15) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal 17/315 binary64) (.f64 x x))))
#s(approx (* x x) (*.f64 x x))
#s(approx (- (tan (+ x eps)) (tan (+ (+ x (PI)) (PI)))) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan (+ (+ x (PI)) (PI)))) (+.f64 (tan.f64 eps) (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))
#s(approx (- (tan (+ x eps)) (tan (+ (+ x (PI)) (PI)))) (fma.f64 x (fma.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (tan.f64 eps) (.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (tan.f64 eps)))
#s(approx (- (tan (+ x eps)) (tan (+ (+ x (PI)) (PI)))) (fma.f64 x (fma.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (pow.f64 (cos.f64 eps) #s(literal 4 binary64))) (.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))))) (fma.f64 #s(literal -1 binary64) (tan.f64 eps) (.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (tan.f64 eps)))
#s(approx (tan (+ x eps)) (tan.f64 eps))
#s(approx (tan (+ x eps)) (fma.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (tan.f64 eps)))
#s(approx (tan (+ x eps)) (fma.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (tan.f64 eps) (.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (tan.f64 eps)))
#s(approx (tan (+ x eps)) (fma.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (pow.f64 (cos.f64 eps) #s(literal 4 binary64))) (.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))))) (fma.f64 #s(literal -1 binary64) (tan.f64 eps) (.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (tan.f64 eps)))
#s(approx (/ (tan x) (- 1 (* (tan x) (tan eps)))) x)
#s(approx (/ (tan x) (- 1 (* (tan x) (tan eps)))) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (sin.f64 eps)) (cos.f64 eps)))))
#s(approx (/ (tan x) (- 1 (* (tan x) (tan eps)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (.f64 #s(literal 1 binary64) (tan.f64 eps)))))))
#s(approx (/ (tan x) (- 1 (* (tan x) (tan eps)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (-.f64 (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (cos.f64 eps)) (.f64 #s(literal -1/3 binary64) (tan.f64 eps)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (*.f64 #s(literal 1 binary64) (tan.f64 eps)))))))
#s(approx (- 1 (* (tan x) (tan eps))) #s(literal 1 binary64))
#s(approx (- 1 (* (tan x) (tan eps))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (/.f64 (.f64 x (sin.f64 eps)) (cos.f64 eps)))))
#s(approx (- 1 (* (tan x) (tan eps))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1/3 binary64) (/.f64 (.f64 (.f64 x x) (sin.f64 eps)) (cos.f64 eps))) (tan.f64 eps)))))
#s(approx (- 1 (* (tan x) (tan eps))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -2/15 binary64) (/.f64 (.f64 (.f64 x x) (sin.f64 eps)) (cos.f64 eps)) (.f64 #s(literal -1/3 binary64) (tan.f64 eps)))) (tan.f64 eps)))))
#s(approx (* (tan x) (tan eps)) (/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps)))
#s(approx (* (tan x) (tan eps)) (.f64 x (fma.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (*.f64 x x) (sin.f64 eps)) (cos.f64 eps)) (tan.f64 eps))))
#s(approx (* (tan x) (tan eps)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 #s(literal 2/15 binary64) (/.f64 (.f64 (.f64 x x) (sin.f64 eps)) (cos.f64 eps)) (*.f64 #s(literal 1/3 binary64) (tan.f64 eps))) (tan.f64 eps))))
#s(approx (* (tan x) (tan eps)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/3 binary64) (tan.f64 eps) (.f64 (.f64 x x) (fma.f64 #s(literal 17/315 binary64) (/.f64 (.f64 (.f64 x x) (sin.f64 eps)) (cos.f64 eps)) (*.f64 #s(literal 2/15 binary64) (tan.f64 eps))))) (tan.f64 eps))))
#s(approx (/ (tan eps) (- 1 (* (tan x) (tan eps)))) (tan.f64 eps))
#s(approx (/ (tan eps) (- 1 (* (tan x) (tan eps)))) (+.f64 (tan.f64 eps) (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))
#s(approx (/ (tan eps) (- 1 (* (tan x) (tan eps)))) (fma.f64 x (-.f64 (/.f64 (.f64 x (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (tan.f64 eps)))
#s(approx (/ (tan eps) (- 1 (* (tan x) (tan eps)))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (pow.f64 (cos.f64 eps) #s(literal 4 binary64))) (.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (tan.f64 eps)))
#s(approx (- (tan (+ x eps)) (tan (+ (+ x (PI)) (PI)))) (-.f64 (tan.f64 eps) (tan.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))
#s(approx (- (tan (+ x eps)) (tan (+ (+ x (PI)) (PI)))) (-.f64 (fma.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))) (.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (tan.f64 eps)) (tan.f64 (.f64 #s(literal 2 binary64) (PI.f64)))))
#s(approx (- (tan (+ x eps)) (tan (+ (+ x (PI)) (PI)))) (-.f64 (fma.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64)))))) (cos.f64 (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (cos.f64 eps)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (tan.f64 eps)) (tan.f64 (.f64 #s(literal 2 binary64) (PI.f64)))))
#s(approx (- (tan (+ x eps)) (tan (+ (+ x (PI)) (PI)))) (-.f64 (fma.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))) (.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64)))))) (cos.f64 (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (cos.f64 eps)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (tan.f64 eps)) (tan.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))
#s(approx (* (+ (* (+ (* (- (* (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (+ (* (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (sin x)) (* (* 1/6 (- 1 (neg (pow (tan x) 2)))) (sin x))) (cos x)))) (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6))) eps) (* (- 1 (neg (pow (tan x) 2))) (tan x))) eps) (- 1 (neg (pow (tan x) 2)))) eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))))
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#s(approx (sin x) (sin.f64 x))
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#s(approx (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
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#s(approx (/ (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) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
#s(approx (pow (cos x) 2) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
#s(approx (cos x) (cos.f64 x))
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#s(approx (* (pow (tan x) 2) 1/6) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
#s(approx (* 1/6 (- 1 (neg (pow (tan x) 2)))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
#s(approx (- (tan (+ x eps)) (tan (+ (+ x (PI)) (PI)))) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
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#s(approx (tan (+ x eps)) (tan.f64 (+.f64 eps x)))
#s(approx (+ x eps) x)
#s(approx (+ x eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (*.f64 #s(literal 17/315 binary64) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 17/315 binary64) (.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal -2 binary64))))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 17/315 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal -2/15 binary64) (pow.f64 x #s(literal -2 binary64)))))))
#s(approx (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 17/315 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -6 binary64)))))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) (*.f64 #s(literal 17/315 binary64) (pow.f64 x #s(literal 6 binary64))))
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#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 17/315 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal -2/15 binary64) (pow.f64 x #s(literal -2 binary64)))))))
#s(approx (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 17/315 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -6 binary64)))))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (*.f64 #s(literal 17/315 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 17/315 binary64) (.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal -2 binary64))))))
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#s(approx (+ (* 17/315 (* x x)) 2/15) (.f64 #s(literal 17/315 binary64) (.f64 x x)))
#s(approx (+ (* 17/315 (* x x)) 2/15) (.f64 (.f64 x x) (+.f64 #s(literal 17/315 binary64) (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal -2 binary64))))))
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#s(approx (- 1 (* (tan x) (tan eps))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x))))
#s(approx (* (tan x) (tan eps)) (*.f64 (tan.f64 eps) (tan.f64 x)))
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#s(approx (+ (* 1/3 (* eps eps)) 1) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)))
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#s(approx (+ x eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (tan eps) (tan.f64 eps))
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#s(approx (tan (+ x eps)) (tan.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))))
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eval375.0ms (3.6%)

Memory: 12.6MiB live, 473.9MiB allocated; 62ms collecting garbage
Compiler: Compiled 248 138 to 9 931 computations (96% saved)

prune276.0ms (2.6%)

Memory

1.8MiB live, 424.1MiB allocated; 163ms collecting garbage

Pruning

57 alts after pruning (46 fresh and 11 done)

	Pruned	Kept	Total
New	1 627	24	1 651
Fresh	21	22	43
Picked	2	3	5
Done	0	8	8
Total	1 650	57	1 707

Accuracy

99.9%

Counts

1 707 → 57

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.6%	(/.f64 (-.f64 (.f64 (/.f64 #s(approx (+ (tan x) (tan eps)) (fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 #s(approx (+ (tan x) (tan eps)) (fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(approx (+ (tan x) (tan eps)) (fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
	61.5%	(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
✓	61.8%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
	60.9%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(approx (tan eps) eps)))) (tan.f64 x))
	61.5%	(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (tan.f64 x))
	61.2%	(-.f64 (/.f64 #s(approx (+ (tan x) (tan eps)) (fma.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 #s(literal 2/15 binary64) (.f64 eps eps) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
✓	61.1%	(-.f64 (/.f64 #s(approx (+ (tan x) (tan eps)) (fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
✓	61.8%	(-.f64 (+.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
	5.1%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (PI.f64))) (tan.f64 x))
	5.1%	(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (tan.f64 x))
	3.4%	(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 17/315 (* x x)) 2/15) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
	3.4%	(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
	3.5%	(-.f64 (tan.f64 (+.f64 (+.f64 eps x) (PI.f64))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
✓	7.8%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))))
	8.0%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 #s(approx (+ x (PI)) x) (PI.f64))))
✓	61.5%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓	59.8%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
✓	59.8%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 17/315 (* x x)) 2/15) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
✓	59.6%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
	98.5%	#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 eps) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)) #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 x) (+.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64))) #s(approx (* 1/6 (- 1 (neg (pow (tan x) 2)))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 #s(literal 17/270 binary64) (.f64 x x)))))))))) (cos.f64 x)))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64)))) eps (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x))) eps (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
	98.8%	#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 eps) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)) #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 x) (+.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64))) #s(approx (* 1/6 (- 1 (neg (pow (tan x) 2)))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/9 binary64) (.f64 x x)))))))) (cos.f64 x)))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64)))) eps (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x))) eps (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
	99.1%	#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 eps) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)) #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 x) (+.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64))) #s(approx (* 1/6 (- 1 (neg (pow (tan x) 2)))) #s(literal 1/6 binary64)))) (cos.f64 x)))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64)))) eps (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x))) eps (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
	98.4%	#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 eps) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)) #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 x) (+.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) #s(approx (+ (+ ( (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6) (-.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(literal -17/135 binary64) (.f64 x x)) #s(literal 2/9 binary64))) #s(literal 1/3 binary64))) #s(literal 1/3 binary64)))) (.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))) (cos.f64 x)))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64)))) eps (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x))) eps (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
	98.7%	#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 eps) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)) #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 x) (+.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) #s(approx (+ (+ ( (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6) (-.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(literal -2/9 binary64) (.f64 x x)) #s(literal 1/3 binary64))) #s(literal 1/3 binary64)))) (.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))) (cos.f64 x)))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64)))) eps (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x))) eps (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
	98.8%	#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 eps) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)) #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 x) (+.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) #s(approx (+ (+ ( (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6) (-.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) #s(literal 1/3 binary64)))) (.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))) (cos.f64 x)))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64)))) eps (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x))) eps (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
	99.1%	#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 eps) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)) #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 x) (+.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) #s(approx (+ (+ ( (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6) #s(literal -1/3 binary64))) (.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))) (cos.f64 x)))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64)))) eps (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x))) eps (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
	98.3%	#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 eps) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)) #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 x) (+.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 #s(approx (pow (sin x) 2) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 2/45 binary64) (.f64 #s(literal -1/315 binary64) (.f64 x x)))) #s(literal 1/3 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64))) (.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))) (cos.f64 x)))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64)))) eps (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x))) eps (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
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	97.2%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 #s(literal 17/315 binary64) (.f64 eps eps) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))))
	97.2%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 #s(literal 2/15 binary64) (*.f64 eps eps) #s(literal 1/3 binary64)) #s(literal 1 binary64)))))
✓	97.2%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) eps))

Compiler

Compiled 19 271 to 3 581 computations (81.4% saved)

regimes111.0ms (1.1%)

Memory

6.0MiB live, 106.7MiB allocated; 34ms collecting garbage

Counts

107 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 #s(literal 2/15 binary64) (*.f64 eps eps) #s(literal 1/3 binary64)) #s(literal 1 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 #s(literal 17/315 binary64) (.f64 eps eps) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 eps (.f64 x (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64))))) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (fma.f64 (.f64 (.f64 eps eps) x) (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 eps (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 eps (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 x (fma.f64 #s(literal 4/3 binary64) (*.f64 eps eps) #s(literal 1 binary64)))))) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (fma.f64 x (fma.f64 (.f64 eps x) (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (.f64 eps eps) (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) (.f64 eps (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 eps (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 x (+.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) (.f64 eps (.f64 x (fma.f64 #s(literal 17/9 binary64) (.f64 eps eps) #s(literal 4/3 binary64))))) #s(literal 1 binary64)))))) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (fma.f64 x (fma.f64 x (fma.f64 (.f64 (.f64 eps eps) x) (fma.f64 #s(literal 17/9 binary64) (.f64 eps eps) #s(literal 4/3 binary64)) (.f64 eps (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) (.f64 (.f64 eps eps) (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) (.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64))))))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan (+ (+ x (PI)) (PI)))) #s(approx (* (+ (* (+ (* (- (* (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (+ (* (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (sin x)) (* (* 1/6 (- 1 (neg (pow (tan x) 2)))) (sin x))) (cos x)))) (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6))) eps) (* (- 1 (neg (pow (tan x) 2))) (tan x))) eps) (- 1 (neg (pow (tan x) 2)))) eps) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x (fma.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 17/9 binary64) (.f64 eps eps)))))) (.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (.f64 eps eps)))))))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(approx (* (+ (* (+ (* (- (* (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (* (sin x) (+ (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (* 1/6 (- 1 (neg (pow (tan x) 2)))))) (cos x)))) (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6))) eps) (* (- 1 (neg (pow (tan x) 2))) (tan x))) eps) (- 1 (neg (pow (tan x) 2)))) eps) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x (fma.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 17/9 binary64) (.f64 eps eps)))))) (.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (.f64 eps eps)))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 eps (PI.f64))))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) x))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 17/315 (* x x)) 2/15) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 17/315 (* x x)) 2/15) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 eps x) (PI.f64))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x (PI.f64))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 #s(approx (+ x (PI)) x) (PI.f64))))
(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(approx (+ ( (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (PI.f64))) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 #s(approx (+ ( (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (fma.f64 #s(literal 1/3 binary64) eps (.f64 x (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64))))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (tan.f64 x))
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(-.f64 (/.f64 #s(approx (+ (tan x) (tan eps)) (fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
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(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
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#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 eps) (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (+.f64 (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)))) #s(literal 1/6 binary64)) (sin.f64 x) #s(approx ( 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 #s(literal 277/6048 binary64) (.f64 x x) #s(literal 61/720 binary64)) #s(literal 5/36 binary64)) #s(literal 1/6 binary64))))) (cos.f64 x)))) (+.f64 (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)))) #s(literal 1/6 binary64))) eps (.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan (+ (+ x (PI)) (PI)))) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 eps) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64))) (sin.f64 x) (.f64 (.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (sin.f64 x))) (cos.f64 x)))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64)))) eps (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x))) eps (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 eps) (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (+.f64 (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)))) #s(literal 1/6 binary64)) #s(approx (sin x) (.f64 x (fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (.f64 #s(literal 1/6 binary64) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)))) (cos.f64 x)))) (+.f64 (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)))) #s(literal 1/6 binary64))) eps (.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 eps) (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (+.f64 (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)))) #s(literal 1/6 binary64)) (sin.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)))) (cos.f64 x)))) (+.f64 (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)))) #s(literal 1/6 binary64))) eps (.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))

Outputs

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

Calls

3 calls:

49.0ms	eps
27.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
23.0ms	x

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes79.0ms (0.8%)

Memory

8.4MiB live, 98.9MiB allocated; 6ms collecting garbage

Counts

99 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

23.0ms	eps
23.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
22.0ms	x

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes65.0ms (0.6%)

Memory

-19.4MiB live, 76.3MiB allocated; 11ms collecting garbage

Counts

76 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 #s(literal 2/15 binary64) (*.f64 eps eps) #s(literal 1/3 binary64)) #s(literal 1 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 #s(literal 17/315 binary64) (.f64 eps eps) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 eps (.f64 x (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64))))) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (fma.f64 (.f64 (.f64 eps eps) x) (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 eps (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 eps (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 x (fma.f64 #s(literal 4/3 binary64) (*.f64 eps eps) #s(literal 1 binary64)))))) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (fma.f64 x (fma.f64 (.f64 eps x) (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (.f64 eps eps) (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) (.f64 eps (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 eps (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 x (+.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) (.f64 eps (.f64 x (fma.f64 #s(literal 17/9 binary64) (.f64 eps eps) #s(literal 4/3 binary64))))) #s(literal 1 binary64)))))) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (fma.f64 x (fma.f64 x (fma.f64 (.f64 (.f64 eps eps) x) (fma.f64 #s(literal 17/9 binary64) (.f64 eps eps) #s(literal 4/3 binary64)) (.f64 eps (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) (.f64 (.f64 eps eps) (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) (.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64))))))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan (+ (+ x (PI)) (PI)))) #s(approx (* (+ (* (+ (* (- (* (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (+ (* (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (sin x)) (* (* 1/6 (- 1 (neg (pow (tan x) 2)))) (sin x))) (cos x)))) (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6))) eps) (* (- 1 (neg (pow (tan x) 2))) (tan x))) eps) (- 1 (neg (pow (tan x) 2)))) eps) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x (fma.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 17/9 binary64) (.f64 eps eps)))))) (.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (.f64 eps eps)))))))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(approx (* (+ (* (+ (* (- (* (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (* (sin x) (+ (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (* 1/6 (- 1 (neg (pow (tan x) 2)))))) (cos x)))) (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6))) eps) (* (- 1 (neg (pow (tan x) 2))) (tan x))) eps) (- 1 (neg (pow (tan x) 2)))) eps) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x (fma.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 17/9 binary64) (.f64 eps eps)))))) (.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (.f64 eps eps)))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 eps (PI.f64))))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) x))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
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#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 eps) (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)) #s(literal -1/2 binary64) (/.f64 #s(approx (+ ( (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (.f64 x (-.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(literal -44981/30240 binary64) (.f64 x x)) #s(literal 1141/720 binary64))) #s(literal 41/36 binary64))) #s(literal 1/6 binary64)))) (cos.f64 x)))) (+.f64 (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)))) #s(literal 1/6 binary64))) eps (.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan (+ (+ x (PI)) (PI)))) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 eps) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(approx ( (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 5/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 77/45 binary64) (.f64 #s(literal 88/63 binary64) (.f64 x x))))))))) #s(literal -1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64))) (sin.f64 x) (.f64 (.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (sin.f64 x))) (cos.f64 x)))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64)))) eps (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x))) eps (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))

Outputs

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

Calls

3 calls:

22.0ms	eps
17.0ms	x
17.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 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)

regimes40.0ms (0.4%)

Memory

7.2MiB live, 52.8MiB allocated; 3ms collecting garbage

Counts

51 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 #s(literal 2/15 binary64) (*.f64 eps eps) #s(literal 1/3 binary64)) #s(literal 1 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 #s(literal 17/315 binary64) (.f64 eps eps) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 eps (.f64 x (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64))))) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (fma.f64 (.f64 (.f64 eps eps) x) (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 eps (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 eps (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 x (fma.f64 #s(literal 4/3 binary64) (*.f64 eps eps) #s(literal 1 binary64)))))) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (fma.f64 x (fma.f64 (.f64 eps x) (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (.f64 eps eps) (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) (.f64 eps (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 eps (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 x (+.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) (.f64 eps (.f64 x (fma.f64 #s(literal 17/9 binary64) (.f64 eps eps) #s(literal 4/3 binary64))))) #s(literal 1 binary64)))))) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (fma.f64 x (fma.f64 x (fma.f64 (.f64 (.f64 eps eps) x) (fma.f64 #s(literal 17/9 binary64) (.f64 eps eps) #s(literal 4/3 binary64)) (.f64 eps (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) (.f64 (.f64 eps eps) (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) (.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64))))))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan (+ (+ x (PI)) (PI)))) #s(approx (* (+ (* (+ (* (- (* (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (+ (* (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (sin x)) (* (* 1/6 (- 1 (neg (pow (tan x) 2)))) (sin x))) (cos x)))) (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6))) eps) (* (- 1 (neg (pow (tan x) 2))) (tan x))) eps) (- 1 (neg (pow (tan x) 2)))) eps) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x (fma.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 17/9 binary64) (.f64 eps eps)))))) (.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (.f64 eps eps)))))))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(approx (* (+ (* (+ (* (- (* (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (* (sin x) (+ (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (* 1/6 (- 1 (neg (pow (tan x) 2)))))) (cos x)))) (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6))) eps) (* (- 1 (neg (pow (tan x) 2))) (tan x))) eps) (- 1 (neg (pow (tan x) 2)))) eps) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x (fma.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 17/9 binary64) (.f64 eps eps)))))) (.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (.f64 eps eps)))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 eps (PI.f64))))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) x))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 17/315 (* x x)) 2/15) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 17/315 (* x x)) 2/15) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 eps x) (PI.f64))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x (PI.f64))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 #s(approx (+ x (PI)) x) (PI.f64))))
(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(approx (+ ( (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (PI.f64))) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 #s(approx (+ ( (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (fma.f64 #s(literal 1/3 binary64) eps (.f64 x (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64))))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (tan.f64 x))
(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(approx (tan eps) eps)))) (tan.f64 x))
(-.f64 (/.f64 #s(approx (+ (tan x) (tan eps)) (fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 #s(approx (+ (tan x) (tan eps)) (fma.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 #s(literal 2/15 binary64) (.f64 eps eps) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan (+ (+ x (PI)) (PI)))) (.f64 (fma.f64 (fma.f64 #s(approx (- ( (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (+ (* (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (sin x)) (* (* 1/6 (- 1 (neg (pow (tan x) 2)))) (sin x))) (cos x)))) (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6))) #s(literal 1/3 binary64)) eps (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x))) eps (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (.f64 (fma.f64 (fma.f64 #s(approx (- ( (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (* (sin x) (+ (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (* 1/6 (- 1 (neg (pow (tan x) 2)))))) (cos x)))) (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6))) #s(literal 1/3 binary64)) eps (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x))) eps (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (-.f64 (/.f64 (.f64 (.f64 x (sin.f64 eps)) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (cos.f64 eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) x (tan.f64 eps)))
(-.f64 (+.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(/.f64 (-.f64 (.f64 (/.f64 #s(approx (+ (tan x) (tan eps)) (fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 #s(approx (+ (tan x) (tan eps)) (fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(approx (+ (tan x) (tan eps)) (fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))
#s(approx (- (tan (+ x eps)) (tan (+ (+ x (PI)) (PI)))) (.f64 (fma.f64 (fma.f64 (-.f64 #s(approx ( (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (+ (* (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (sin x)) (* (* 1/6 (- 1 (neg (pow (tan x) 2)))) (sin x))) (cos x)))) (.f64 #s(literal 2/3 binary64) (.f64 eps x))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64)))) eps (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x))) eps (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 #s(approx ( (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (* (sin x) (+ (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (* 1/6 (- 1 (neg (pow (tan x) 2)))))) (cos x)))) (.f64 #s(literal 2/3 binary64) (.f64 eps x))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64)))) eps (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x))) eps (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan (+ (+ x (PI)) (PI)))) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 eps) #s(approx (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (+ (* (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (sin x)) (* (* 1/6 (- 1 (neg (pow (tan x) 2)))) (sin x))) (cos x))) (.f64 x (-.f64 (.f64 #s(literal -17/9 binary64) (.f64 x x)) #s(literal 2/3 binary64))))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64)))) eps (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x))) eps (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 eps) #s(approx (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (* (sin x) (+ (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (* 1/6 (- 1 (neg (pow (tan x) 2)))))) (cos x))) (.f64 x (-.f64 (.f64 #s(literal -17/9 binary64) (.f64 x x)) #s(literal 2/3 binary64))))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64)))) eps (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x))) eps (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan (+ (+ x (PI)) (PI)))) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 eps) #s(approx (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (+ (* (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (sin x)) (* (* 1/6 (- 1 (neg (pow (tan x) 2)))) (sin x))) (cos x))) (.f64 x (-.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(literal -124/45 binary64) (.f64 x x)) #s(literal 17/9 binary64))) #s(literal 2/3 binary64))))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64)))) eps (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x))) eps (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 eps) #s(approx (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (* (sin x) (+ (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (* 1/6 (- 1 (neg (pow (tan x) 2)))))) (cos x))) (.f64 x (-.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(literal -124/45 binary64) (.f64 x x)) #s(literal 17/9 binary64))) #s(literal 2/3 binary64))))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64)))) eps (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x))) eps (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan (+ (+ x (PI)) (PI)))) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 eps) #s(approx (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (+ (* (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (sin x)) (* (* 1/6 (- 1 (neg (pow (tan x) 2)))) (sin x))) (cos x))) (.f64 x (-.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(literal -2764/945 binary64) (.f64 x x)) #s(literal 124/45 binary64))) #s(literal 17/9 binary64))) #s(literal 2/3 binary64))))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64)))) eps (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x))) eps (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 eps) #s(approx (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (* (sin x) (+ (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (* 1/6 (- 1 (neg (pow (tan x) 2)))))) (cos x))) (.f64 x (-.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(literal -2764/945 binary64) (.f64 x x)) #s(literal 124/45 binary64))) #s(literal 17/9 binary64))) #s(literal 2/3 binary64))))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64)))) eps (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x))) eps (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))

Outputs

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes36.0ms (0.3%)

Memory

11.0MiB live, 55.5MiB allocated; 5ms collecting garbage

Counts

43 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 #s(literal 2/15 binary64) (*.f64 eps eps) #s(literal 1/3 binary64)) #s(literal 1 binary64)))))
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#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 eps (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 x (+.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) (.f64 eps (.f64 x (fma.f64 #s(literal 17/9 binary64) (.f64 eps eps) #s(literal 4/3 binary64))))) #s(literal 1 binary64)))))) #s(literal 1 binary64))) eps))
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#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
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#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(approx (* (+ (* (+ (* (- (* (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (* (sin x) (+ (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (* 1/6 (- 1 (neg (pow (tan x) 2)))))) (cos x)))) (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6))) eps) (* (- 1 (neg (pow (tan x) 2))) (tan x))) eps) (- 1 (neg (pow (tan x) 2)))) eps) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x (fma.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 17/9 binary64) (.f64 eps eps)))))) (.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (.f64 eps eps)))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 eps (PI.f64))))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) x))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 17/315 (* x x)) 2/15) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 17/315 (* x x)) 2/15) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 eps x) (PI.f64))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x (PI.f64))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 #s(approx (+ x (PI)) x) (PI.f64))))
(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(approx (+ ( (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (PI.f64))) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 #s(approx (+ ( (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (fma.f64 #s(literal 1/3 binary64) eps (.f64 x (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64))))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (tan.f64 x))
(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(approx (tan eps) eps)))) (tan.f64 x))
(-.f64 (/.f64 #s(approx (+ (tan x) (tan eps)) (fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 #s(approx (+ (tan x) (tan eps)) (fma.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 #s(literal 2/15 binary64) (.f64 eps eps) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan (+ (+ x (PI)) (PI)))) (.f64 (fma.f64 (fma.f64 #s(approx (- ( (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (+ (* (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (sin x)) (* (* 1/6 (- 1 (neg (pow (tan x) 2)))) (sin x))) (cos x)))) (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6))) #s(literal 1/3 binary64)) eps (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x))) eps (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (.f64 (fma.f64 (fma.f64 #s(approx (- ( (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (* (sin x) (+ (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (* 1/6 (- 1 (neg (pow (tan x) 2)))))) (cos x)))) (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6))) #s(literal 1/3 binary64)) eps (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x))) eps (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (-.f64 (/.f64 (.f64 (.f64 x (sin.f64 eps)) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (cos.f64 eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) x (tan.f64 eps)))
(-.f64 (+.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))))) (tan.f64 x))
(/.f64 (-.f64 (.f64 (/.f64 #s(approx (+ (tan x) (tan eps)) (fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 #s(approx (+ (tan x) (tan eps)) (fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(approx (+ (tan x) (tan eps)) (fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)))

Outputs

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

Calls

3 calls:

13.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
10.0ms	eps
10.0ms	x

Results

Accuracy	Segments	Branch
98.8%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.8%	1	`x`
98.8%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes35.0ms (0.3%)

Memory

2.9MiB live, 51.0MiB allocated; 13ms collecting garbage

Counts

37 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 #s(literal 2/15 binary64) (*.f64 eps eps) #s(literal 1/3 binary64)) #s(literal 1 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 #s(literal 17/315 binary64) (.f64 eps eps) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 eps (.f64 x (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64))))) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (fma.f64 (.f64 (.f64 eps eps) x) (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 eps (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 eps (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 x (fma.f64 #s(literal 4/3 binary64) (*.f64 eps eps) #s(literal 1 binary64)))))) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (fma.f64 x (fma.f64 (.f64 eps x) (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (.f64 eps eps) (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) (.f64 eps (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 eps (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 x (+.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) (.f64 eps (.f64 x (fma.f64 #s(literal 17/9 binary64) (.f64 eps eps) #s(literal 4/3 binary64))))) #s(literal 1 binary64)))))) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (fma.f64 x (fma.f64 x (fma.f64 (.f64 (.f64 eps eps) x) (fma.f64 #s(literal 17/9 binary64) (.f64 eps eps) #s(literal 4/3 binary64)) (.f64 eps (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) (.f64 (.f64 eps eps) (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) (.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64))))))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan (+ (+ x (PI)) (PI)))) #s(approx (* (+ (* (+ (* (- (* (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (+ (* (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (sin x)) (* (* 1/6 (- 1 (neg (pow (tan x) 2)))) (sin x))) (cos x)))) (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6))) eps) (* (- 1 (neg (pow (tan x) 2))) (tan x))) eps) (- 1 (neg (pow (tan x) 2)))) eps) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x (fma.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 17/9 binary64) (.f64 eps eps)))))) (.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (.f64 eps eps)))))))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(approx (* (+ (* (+ (* (- (* (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (* (sin x) (+ (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (* 1/6 (- 1 (neg (pow (tan x) 2)))))) (cos x)))) (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6))) eps) (* (- 1 (neg (pow (tan x) 2))) (tan x))) eps) (- 1 (neg (pow (tan x) 2)))) eps) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x (fma.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 17/9 binary64) (.f64 eps eps)))))) (.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (.f64 eps eps)))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 eps (PI.f64))))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) x))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 17/315 (* x x)) 2/15) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 17/315 (* x x)) 2/15) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 eps x) (PI.f64))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x (PI.f64))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 #s(approx (+ x (PI)) x) (PI.f64))))
(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 #s(approx (+ ( (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (PI.f64))) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 #s(approx (+ ( (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (fma.f64 #s(literal 1/3 binary64) eps (.f64 x (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64))))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (tan.f64 x))
(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(approx (tan eps) eps)))) (tan.f64 x))
(-.f64 (/.f64 #s(approx (+ (tan x) (tan eps)) (fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 #s(approx (+ (tan x) (tan eps)) (fma.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 #s(literal 2/15 binary64) (.f64 eps eps) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.2%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.2%	1	`x`
98.2%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes26.0ms (0.2%)

Memory

-6.9MiB live, 38.3MiB allocated; 6ms collecting garbage

Counts

26 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 #s(literal 2/15 binary64) (*.f64 eps eps) #s(literal 1/3 binary64)) #s(literal 1 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 #s(literal 17/315 binary64) (.f64 eps eps) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 eps (.f64 x (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64))))) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (fma.f64 (.f64 (.f64 eps eps) x) (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 eps (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 eps (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 x (fma.f64 #s(literal 4/3 binary64) (*.f64 eps eps) #s(literal 1 binary64)))))) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (fma.f64 x (fma.f64 (.f64 eps x) (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (.f64 eps eps) (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) (.f64 eps (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ ( (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 eps (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 x (+.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) (.f64 eps (.f64 x (fma.f64 #s(literal 17/9 binary64) (.f64 eps eps) #s(literal 4/3 binary64))))) #s(literal 1 binary64)))))) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (fma.f64 x (fma.f64 x (fma.f64 (.f64 (.f64 eps eps) x) (fma.f64 #s(literal 17/9 binary64) (.f64 eps eps) #s(literal 4/3 binary64)) (.f64 eps (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) (.f64 (.f64 eps eps) (fma.f64 #s(literal 2/3 binary64) (.f64 eps eps) #s(literal 1 binary64)))) (.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64))))))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan (+ (+ x (PI)) (PI)))) #s(approx (* (+ (* (+ (* (- (* (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (+ (* (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (sin x)) (* (* 1/6 (- 1 (neg (pow (tan x) 2)))) (sin x))) (cos x)))) (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6))) eps) (* (- 1 (neg (pow (tan x) 2))) (tan x))) eps) (- 1 (neg (pow (tan x) 2)))) eps) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x (fma.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 17/9 binary64) (.f64 eps eps)))))) (.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (.f64 eps eps)))))))))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) #s(approx (* (+ (* (+ (* (- (* (neg eps) (+ (* (* (- 1 (neg (pow (tan x) 2))) (tan x)) -1/2) (/ (* (sin x) (+ (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6)) (* 1/6 (- 1 (neg (pow (tan x) 2)))))) (cos x)))) (+ (* (* (- 1 (neg (pow (tan x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))) -1) (+ (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6))) eps) (* (- 1 (neg (pow (tan x) 2))) (tan x))) eps) (- 1 (neg (pow (tan x) 2)))) eps) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (.f64 x (fma.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 17/9 binary64) (.f64 eps eps)))))) (.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (.f64 eps eps)))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 eps (PI.f64))))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) x))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 17/315 (* x x)) 2/15) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 17/315 (* x x)) 2/15) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 eps x) (PI.f64))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x (PI.f64))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 #s(approx (+ x (PI)) x) (PI.f64))))
(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (tan.f64 x))

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.3%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
97.3%	1	`eps`
97.3%	1	`x`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes8.0ms (0.1%)

Memory

15.5MiB live, 15.5MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.3%	1	`x`
97.3%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
97.3%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes7.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-1.5%)

Threshold costs -0b (-1.5%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.2%	1	`x`
97.2%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
97.2%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify57.0ms (0.5%)

Memory

-20.9MiB live, 70.7MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	160	1030
1	313	942
2	807	907
3	3580	824

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 eps) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)) #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 x) (+.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64))) (.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))) (cos.f64 x)))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64)))) eps (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x))) eps (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 eps) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (tan.f64 x)) #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 x) (+.f64 (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64))) (.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64)))) eps (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (tan.f64 x))) eps (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 eps) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x)) #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 x) (+.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) #s(approx (+ (+ ( (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6) #s(literal -1/3 binary64))) (.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))) (cos.f64 x)))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64)))) eps (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (tan.f64 x))) eps (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps))
#s(approx (- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 eps) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (tan.f64 x)) #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 x) (+.f64 (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) #s(approx (+ (+ ( (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6) #s(literal -1/3 binary64))) (.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/6 binary64)))) eps (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (tan.f64 x))) eps (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 (fma.f64 (neg.f64 eps) (+.f64 (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)))) #s(literal 1/6 binary64)) (.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
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derivations348.0ms (3.3%)

Memory

-9.5MiB live, 182.8MiB allocated; 59ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 1 020 to 158 computations (84.5% saved)

preprocess67.0ms (0.6%)

Memory: 22.2MiB live, 115.6MiB allocated; 21ms collecting garbage
Compiler: Compiled 2 072 to 340 computations (83.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze54.0ms (0.5%)

sample5.7s (54.2%)

explain144.0ms (1.4%)

preprocess237.0ms (2.3%)

eval0.0ms (0%)

prune0.0ms (0%)

series12.0ms (0.1%)

rewrite187.0ms (1.8%)

eval33.0ms (0.3%)

prune35.0ms (0.3%)

series177.0ms (1.7%)

rewrite272.0ms (2.6%)

eval425.0ms (4%)

prune125.0ms (1.2%)

series195.0ms (1.9%)

rewrite385.0ms (3.7%)

eval399.0ms (3.8%)

prune154.0ms (1.5%)

series143.0ms (1.4%)

rewrite299.0ms (2.9%)

eval375.0ms (3.6%)

prune276.0ms (2.6%)

regimes111.0ms (1.1%)

regimes79.0ms (0.8%)

regimes65.0ms (0.6%)

regimes40.0ms (0.4%)

regimes36.0ms (0.3%)

regimes35.0ms (0.3%)

regimes26.0ms (0.2%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

simplify57.0ms (0.5%)

derivations348.0ms (3.3%)

preprocess67.0ms (0.6%)

end0.0ms (0%)

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