Metrics for 2tan (problem 3.3.2)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze39.0ms (0.2%)

Memory

27.3MiB live, 65.4MiB allocated

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)

sample7.1s (44%)

Memory

-93.9MiB live, 6 555.7MiB allocated

Samples

3.9s	26 426×	0	invalid
628.0ms	5 538×	0	valid
605.0ms	2 718×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 3.5s

ival-tan: 714.0ms (20.1% of total)

const: 678.0ms (19.1% of total)

ival-<: 523.0ms (14.7% of total)

ival-fabs: 297.0ms (8.4% of total)

ival-add: 291.0ms (8.2% of total)

ival-mult: 288.0ms (8.1% of total)

ival-sub: 258.0ms (7.3% of total)

ival-<=: 229.0ms (6.5% of total)

adjust: 109.0ms (3.1% of total)

ival-and: 106.0ms (3% of total)

exact: 44.0ms (1.2% of total)

ival-assert: 13.0ms (0.4% of total)

Bogosity

explain115.0ms (0.7%)

Memory

-12.7MiB live, 110.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
219	-	3	(-0.06699187316305875 0.0008278025286948478)	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
4	-	1	(-89.76444673913441 1.8651656725848695e-8)	`(tan.f64 (+.f64 x eps))`
0	-	0	-	`eps`
0	-	0	-	`(+.f64 x eps)`
0	-	0	-	`(tan.f64 x)`
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	216	10
`tan.f64`	`(tan.f64 (+.f64 x eps))`	sensitivity	3	1

Confusion

	Predicted +	Predicted -
+	216	3
-	0	37

Precision

1.0

Recall

0.9863013698630136

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	216	3	0
-	0	7	30

Precision?

0.9690265486725663

Recall?

1.0

Freqs

test

number	freq
0	40
1	213
2	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

16.0ms	340×	0	valid
16.0ms	166×	1	valid
2.0ms	4×	2	valid
1.0ms	2×	3	valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-tan: 11.0ms (52.4% of total)

adjust: 4.0ms (19.1% of total)

ival-add: 3.0ms (14.3% of total)

ival-sub: 3.0ms (14.3% of total)

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

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

preprocess279.0ms (1.7%)

Memory

43.2MiB live, 230.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	39
1	51	35
2	150	35
3	492	35
4	1175	35
5	2398	35
6	3552	35
7	4149	35
8	4809	35
9	5866	35
10	6992	35
0	6	7
0	10	7
1	18	7
2	44	7
3	137	7
4	378	7
5	951	7
6	1902	7
7	2646	7
8	3696	7
9	4531	7
10	5320	7
11	6346	7
12	7721	7
0	8155	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
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

-37.5MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.7%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify231.0ms (1.4%)

Memory

24.1MiB live, 263.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(tan.f64 x)
cost-diff	0	(+.f64 x eps)
cost-diff	0	(tan.f64 (+.f64 x eps))
cost-diff	0	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	18	18
2	44	18
3	137	18
4	378	18
5	951	18
6	1902	18
7	2646	18
8	3696	18
9	4531	18
10	5320	18
11	6346	18
12	7721	18
0	8155	18

Stop Event

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

Calls

Call 1

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

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

localize25.0ms (0.2%)

Memory

-10.1MiB live, 67.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x eps)
accuracy	0.00390625	(tan.f64 x)
accuracy	0.16555540178110745	(tan.f64 (+.f64 x eps))
accuracy	23.03412384338284	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Samples

9.0ms	170×	0	valid
8.0ms	83×	1	valid
1.0ms	2×	2	valid
0.0ms	1×	3	valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-tan: 5.0ms (47.7% of total)

adjust: 2.0ms (19.1% of total)

ival-add: 2.0ms (19.1% of total)

ival-sub: 2.0ms (19.1% of total)

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

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

series11.0ms (0.1%)

Memory

25.8MiB live, 25.8MiB allocated

Counts

4 → 31

Calls

Call 1

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

Outputs
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* 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)))
(+ (* 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)))
(+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* 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)))
(+ (* 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)))
eps
(+ eps x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(* x (+ 1 (/ eps x)))
(/ (sin x) (cos x))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* 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)))))
(* 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)))))
(* 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)))))
(+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* 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)))
(+ (* 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)))
(* eps (+ 1 (/ x eps)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	eps	@	0	((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x))
2.0ms	x	@	0	((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x))
2.0ms	eps	@	inf	((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x))
1.0ms	eps	@	-inf	((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x))
1.0ms	x	@	inf	((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x))

simplify176.0ms (1.1%)

Memory

-7.3MiB live, 195.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	966
1	518	897
2	2004	844
0	8109	790

Stop Event

1×	iter limit
1×	node limit

Counts

31 → 29

Calls

Call 1

Inputs
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* 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)))
(+ (* 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)))
(+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* 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)))
(+ (* 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)))
eps
(+ eps x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(* x (+ 1 (/ eps x)))
(/ (sin x) (cos x))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* 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)))))
(* 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)))))
(* 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)))))
(+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* 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)))
(+ (* 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)))
(* eps (+ 1 (/ x eps)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))

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

rewrite177.0ms (1.1%)

Memory

-46.1MiB live, 209.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	10	16
1	55	16
2	509	16
0	8357	16

Stop Event

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

Counts

4 → 253

Calls

Call 1

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

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)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps 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)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64))))))
(.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 eps) (tan.f64 x))) (sin.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 eps) (tan.f64 x))) (cos.f64 x))))
(.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (pow.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (pow.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) #s(literal -1 binary64)))
(.f64 (fma.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64))) (.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (pow.f64 (fma.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 4 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) #s(literal -1 binary64))) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 6 binary64)) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (pow.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) #s(literal -1 binary64))) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 4 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (pow.f64 (.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 6 binary64)) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (pow.f64 (fma.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64))) #s(literal -1 binary64))) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 9 binary64)) (pow.f64 (tan.f64 x) #s(literal 9 binary64))) (pow.f64 (fma.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64))) #s(literal -1 binary64))) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 6 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (pow.f64 (.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) #s(literal 3 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64))))
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(neg.f64 (neg.f64 (tan.f64 x)))
(tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))
(tan.f64 (+.f64 (PI.f64) x))
(tan.f64 x)
(+.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(literal 0 binary64)))) (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(literal 0 binary64)))))

eval34.0ms (0.2%)

Memory: 31.8MiB live, 70.2MiB allocated
Compiler: Compiled 7 608 to 1 068 computations (86% saved)

prune21.0ms (0.1%)

Memory

2.6MiB live, 47.2MiB allocated

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	254	22	276
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	254	23	277

Accuracy

100.0%

Counts

277 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.0%	(fma.f64 (tan.f64 x) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 eps) (tan.f64 x))) #s(literal -1 binary64)) (-.f64 (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 eps) (tan.f64 x)))) (tan.f64 x)))
	63.7%	(fma.f64 (sin.f64 (neg.f64 (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 eps x)))) (neg.f64 (tan.f64 x)))
	63.7%	(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 eps x)))
	63.9%	(fma.f64 (neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x))))) (neg.f64 (tan.f64 x)))
	62.8%	(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 eps) (tan.f64 x))) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
	63.9%	(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 eps) (tan.f64 x))) (sin.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x))) (cos.f64 x)))
	38.0%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
	64.0%	(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x)))) (tan.f64 x))
	63.1%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x)))) (tan.f64 x))
	64.0%	(-.f64 (+.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 eps) (tan.f64 x)))) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 eps) (tan.f64 x))))) (tan.f64 x))
▶	39.7%	(-.f64 (tan.f64 (-.f64 (/.f64 (.f64 x x) (-.f64 x eps)) (/.f64 (.f64 eps eps) (-.f64 x eps)))) (tan.f64 x))
	4.4%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (+.f64 eps (PI.f64)))) (tan.f64 x))
	4.4%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 eps (PI.f64)))) (tan.f64 x))
	63.7%	(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
▶	7.6%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
✓	63.7%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶	98.7%	(+.f64 (fma.f64 #s(literal -1 binary64) (tan.f64 x) (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 eps) (tan.f64 x))))) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 eps) (tan.f64 x)))))
▶	99.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (.f64 (fma.f64 (neg.f64 eps) (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) (sin.f64 x)) #s(literal -1/3 binary64) (fma.f64 (sin.f64 x) (.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) (sin.f64 x)) #s(literal -1/3 binary64)))) (cos.f64 x)) (-.f64 #s(literal -1/6 binary64) (fma.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) eps) eps (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x))) eps eps))
	99.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps) eps (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x))) eps eps))
	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x)) eps eps))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps))
	97.4%	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
▶	63.7%	#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))

Compiler

Compiled 1 251 to 622 computations (50.3% saved)

simplify216.0ms (1.3%)

Memory

-21.2MiB live, 170.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x))))
cost-diff	0	(tan.f64 x)
cost-diff	1	(fma.f64 #s(literal -1 binary64) (tan.f64 x) (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x)))))
cost-diff	8	(+.f64 (fma.f64 #s(literal -1 binary64) (tan.f64 x) (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 eps) (tan.f64 x))))) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 eps) (tan.f64 x)))))
cost-diff	0	(sin.f64 (+.f64 eps x))
cost-diff	0	(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
cost-diff	0	(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
cost-diff	0	#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
cost-diff	0	(/.f64 (*.f64 x x) (-.f64 x eps))
cost-diff	0	(tan.f64 (-.f64 (/.f64 (.f64 x x) (-.f64 x eps)) (/.f64 (.f64 eps eps) (-.f64 x eps))))
cost-diff	0	(-.f64 (tan.f64 (-.f64 (/.f64 (.f64 x x) (-.f64 x eps)) (/.f64 (.f64 eps eps) (-.f64 x eps)))) (tan.f64 x))
cost-diff	4	(-.f64 (/.f64 (.f64 x x) (-.f64 x eps)) (/.f64 (.f64 eps eps) (-.f64 x eps)))
cost-diff	0	(+.f64 x eps)
cost-diff	0	(tan.f64 (+.f64 x eps))
cost-diff	0	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
cost-diff	2	(tan.f64 (+.f64 (PI.f64) x))
cost-diff	3	(fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) (sin.f64 x)) #s(literal -1/3 binary64) (fma.f64 (sin.f64 x) (.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) (sin.f64 x)) #s(literal -1/3 binary64))))
cost-diff	5	(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))))
cost-diff	5	(fma.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
cost-diff	13	(fma.f64 (sin.f64 x) (.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) (sin.f64 x)) #s(literal -1/3 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	1376
0	140	1372
1	293	1274
2	924	1110
3	4638	1082
0	8619	1068

Stop Event

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

Calls

Call 1

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

Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (.f64 (fma.f64 (neg.f64 eps) (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) (sin.f64 x)) #s(literal -1/3 binary64) (fma.f64 (sin.f64 x) (.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) (sin.f64 x)) #s(literal -1/3 binary64)))) (cos.f64 x)) (-.f64 #s(literal -1/6 binary64) (fma.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) eps) eps (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x))) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.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)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) #s(literal -2/3 binary64))) (neg.f64 (cos.f64 x))) eps (-.f64 #s(literal -1/6 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (-.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -5/6 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x)) eps eps)))
(fma.f64 (fma.f64 (.f64 (fma.f64 (neg.f64 eps) (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) (sin.f64 x)) #s(literal -1/3 binary64) (fma.f64 (sin.f64 x) (.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) (sin.f64 x)) #s(literal -1/3 binary64)))) (cos.f64 x)) (-.f64 #s(literal -1/6 binary64) (fma.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) eps) eps (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x))) eps eps)
(fma.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.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)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) #s(literal -2/3 binary64))) (neg.f64 (cos.f64 x))) eps (-.f64 #s(literal -1/6 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (-.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -5/6 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x)) eps eps))
(fma.f64 (.f64 (fma.f64 (neg.f64 eps) (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) (sin.f64 x)) #s(literal -1/3 binary64) (fma.f64 (sin.f64 x) (.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) (sin.f64 x)) #s(literal -1/3 binary64)))) (cos.f64 x)) (-.f64 #s(literal -1/6 binary64) (fma.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) eps) eps (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x)))
(fma.f64 (.f64 eps eps) (fma.f64 (/.f64 (fma.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)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) #s(literal -2/3 binary64))) (neg.f64 (cos.f64 x))) eps (-.f64 #s(literal -1/6 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (-.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -5/6 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (fma.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x)))
(.f64 (fma.f64 (neg.f64 eps) (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) (sin.f64 x)) #s(literal -1/3 binary64) (fma.f64 (sin.f64 x) (.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) (sin.f64 x)) #s(literal -1/3 binary64)))) (cos.f64 x)) (-.f64 #s(literal -1/6 binary64) (fma.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) eps)
(.f64 (fma.f64 (/.f64 (fma.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)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) #s(literal -2/3 binary64))) (neg.f64 (cos.f64 x))) eps (-.f64 #s(literal -1/6 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (-.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -5/6 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) eps)
(fma.f64 (neg.f64 eps) (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) (sin.f64 x)) #s(literal -1/3 binary64) (fma.f64 (sin.f64 x) (.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) (sin.f64 x)) #s(literal -1/3 binary64)))) (cos.f64 x)) (-.f64 #s(literal -1/6 binary64) (fma.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (fma.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)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) #s(literal -2/3 binary64))) (neg.f64 (cos.f64 x))) eps (-.f64 #s(literal -1/6 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (-.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -5/6 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(neg.f64 eps)
eps
(/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) (sin.f64 x)) #s(literal -1/3 binary64) (fma.f64 (sin.f64 x) (.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) (sin.f64 x)) #s(literal -1/3 binary64)))) (cos.f64 x))
(/.f64 (fma.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)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) #s(literal -2/3 binary64))) (cos.f64 x))
(fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) (sin.f64 x)) #s(literal -1/3 binary64) (fma.f64 (sin.f64 x) (.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) (sin.f64 x)) #s(literal -1/3 binary64))))
(fma.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)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) #s(literal -2/3 binary64)))
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) (sin.f64 x))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x))
(/.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)
x
#s(literal 2 binary64)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(cos.f64 x)
#s(literal -1/3 binary64)
(fma.f64 (sin.f64 x) (.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) (sin.f64 x)) #s(literal -1/3 binary64)))
(*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (-.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)))))
(*.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64))
(/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
#s(literal 1 binary64)
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(*.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) (sin.f64 x)) #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)))
(-.f64 #s(literal -1/6 binary64) (fma.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(-.f64 #s(literal -1/6 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (-.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -5/6 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
#s(literal -1/6 binary64)
(fma.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (-.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -5/6 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
#s(literal -1/2 binary64)
(/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -5/6 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))))
(-.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -5/6 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
#s(literal 1/6 binary64)
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x))
(/.f64 (fma.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x))
(fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))
(fma.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps)
(fma.f64 (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps)
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(tan.f64 (+.f64 x eps))
(tan.f64 (+.f64 eps x))
(+.f64 x eps)
(+.f64 eps x)
x
eps
(tan.f64 (+.f64 (PI.f64) x))
(tan.f64 x)
(+.f64 (PI.f64) x)
(PI.f64)
(-.f64 (tan.f64 (-.f64 (/.f64 (.f64 x x) (-.f64 x eps)) (/.f64 (.f64 eps eps) (-.f64 x eps)))) (tan.f64 x))
(-.f64 (tan.f64 (/.f64 (fma.f64 (neg.f64 eps) eps (*.f64 x x)) (-.f64 x eps))) (tan.f64 x))
(tan.f64 (-.f64 (/.f64 (.f64 x x) (-.f64 x eps)) (/.f64 (.f64 eps eps) (-.f64 x eps))))
(tan.f64 (/.f64 (fma.f64 (neg.f64 eps) eps (*.f64 x x)) (-.f64 x eps)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x eps)) (/.f64 (.f64 eps eps) (-.f64 x eps)))
(/.f64 (fma.f64 (neg.f64 eps) eps (*.f64 x x)) (-.f64 x eps))
(/.f64 (*.f64 x x) (-.f64 x eps))
(*.f64 (/.f64 x (-.f64 x eps)) x)
(*.f64 x x)
x
(-.f64 x eps)
eps
(/.f64 (*.f64 eps eps) (-.f64 x eps))
(*.f64 (/.f64 eps (-.f64 x eps)) eps)
(*.f64 eps eps)
(tan.f64 x)
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(sin.f64 (+.f64 eps x))
(+.f64 eps x)
eps
x
(cos.f64 (+.f64 eps x))
(/.f64 (sin.f64 x) (cos.f64 x))
(sin.f64 x)
(cos.f64 x)
(+.f64 (fma.f64 #s(literal -1 binary64) (tan.f64 x) (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 eps) (tan.f64 x))))) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 eps) (tan.f64 x)))))
(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (neg.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)))) (tan.f64 x))
(fma.f64 #s(literal -1 binary64) (tan.f64 x) (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x)))))
(-.f64 (/.f64 (tan.f64 x) (neg.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)))) (tan.f64 x))
#s(literal -1 binary64)
(tan.f64 x)
x
(/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x))))
(/.f64 (tan.f64 x) (neg.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x)))
(neg.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)))
#s(literal 1 binary64)
(*.f64 (tan.f64 eps) (tan.f64 x))
(tan.f64 eps)
eps
(/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x))))
(/.f64 (tan.f64 eps) (neg.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64))))

localize558.0ms (3.4%)

Memory

44.8MiB live, 668.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x))))
accuracy	0.015625	(/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x))))
accuracy	0.01953125	(*.f64 (tan.f64 eps) (tan.f64 x))
accuracy	21.950000547516535	(fma.f64 #s(literal -1 binary64) (tan.f64 x) (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x)))))
accuracy	0.01171875	(/.f64 (sin.f64 x) (cos.f64 x))
accuracy	0.09984952764828003	(sin.f64 (+.f64 eps x))
accuracy	0.12547813732486462	(cos.f64 (+.f64 eps x))
accuracy	22.999101248520883	(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
accuracy	0.15383665178110745	(tan.f64 (-.f64 (/.f64 (.f64 x x) (-.f64 x eps)) (/.f64 (.f64 eps eps) (-.f64 x eps))))
accuracy	22.999101248520883	(-.f64 (tan.f64 (-.f64 (/.f64 (.f64 x x) (-.f64 x eps)) (/.f64 (.f64 eps eps) (-.f64 x eps)))) (tan.f64 x))
accuracy	24.96025982952113	(/.f64 (*.f64 x x) (-.f64 x eps))
accuracy	25.357142851597242	(/.f64 (*.f64 eps eps) (-.f64 x eps))
accuracy	0.15383665178110745	(tan.f64 (+.f64 x eps))
accuracy	1.2109080192407735	(PI.f64)
accuracy	22.999101248520883	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
accuracy	57.363876273093695	(tan.f64 (+.f64 (PI.f64) x))
accuracy	0.14453125	(fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))
accuracy	0.2890625	(.f64 (fma.f64 (neg.f64 eps) (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) (sin.f64 x)) #s(literal -1/3 binary64) (fma.f64 (sin.f64 x) (.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) (sin.f64 x)) #s(literal -1/3 binary64)))) (cos.f64 x)) (-.f64 #s(literal -1/6 binary64) (fma.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) eps)
accuracy	0.32421875	(*.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) (sin.f64 x)) #s(literal -1/3 binary64))
accuracy	0.9655075195368841	(-.f64 #s(literal -1/6 binary64) (fma.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))

Samples

378.0ms	228×	1	valid
39.0ms	5×	5	exit
35.0ms	18×	2	valid
3.0ms	5×	0	valid

Compiler

Compiled 2 683 to 152 computations (94.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 400.0ms

ival-tan: 136.0ms (34% of total)

ival-mult: 71.0ms (17.8% of total)

adjust: 48.0ms (12% of total)

ival-div: 44.0ms (11% of total)

ival-add: 31.0ms (7.8% of total)

ival-sub: 20.0ms (5% of total)

const: 17.0ms (4.3% of total)

ival-cos: 10.0ms (2.5% of total)

ival-pow2: 9.0ms (2.3% of total)

ival-sin: 7.0ms (1.8% of total)

ival-neg: 3.0ms (0.8% of total)

ival-pi: 2.0ms (0.5% of total)

exact: 1.0ms (0.3% of total)

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

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

series114.0ms (0.7%)

Memory

7.3MiB live, 81.0MiB allocated

Counts

30 → 211

Calls

Call 1

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

Outputs
(* -1/3 x)
(* x (- (* -23/18 (pow x 2)) 1/3))
(* x (- (* (pow x 2) (- (* -601/360 (pow x 2)) 23/18)) 1/3))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -23183/15120 (pow x 2)) 601/360)) 23/18)) 1/3))
-1/2
(- (* -4/3 (pow x 2)) 1/2)
(- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/2)
(- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/2)
(* -5/6 (pow x 2))
(* (pow x 2) (- (* -13/18 (pow x 2)) 5/6))
(* (pow x 2) (- (* (pow x 2) (- (* -10/27 (pow x 2)) 13/18)) 5/6))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -373/1890 (pow x 2)) 10/27)) 13/18)) 5/6))
(* -2/3 x)
(* x (- (* -14/9 (pow x 2)) 2/3))
(* x (- (* (pow x 2) (- (* -331/180 (pow x 2)) 14/9)) 2/3))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -3071/1890 (pow x 2)) 331/180)) 14/9)) 2/3))
(/ (sin (PI)) (cos (PI)))
(+ (* x (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(+ (* x (- (+ 1 (/ (* x (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))))) (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI))))))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(- (/ (sin eps) (cos eps)) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (+ (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* x (- (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(/ (sin eps) (cos eps))
(+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* 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)))
(+ (* 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)))
eps
(+ eps x)
(- x (* -1 eps))
(/ (sin (neg (* -1 eps))) (cos (neg (* -1 eps))))
(+ (/ (sin (neg (* -1 eps))) (cos (neg (* -1 eps)))) (/ (* x (pow (sin (neg (* -1 eps))) 2)) (pow (cos (neg (* -1 eps))) 2)))
(+ (* x (- (/ (* x (* (sin (neg (* -1 eps))) (- 1 (* -1 (/ (pow (sin (neg (* -1 eps))) 2) (pow (cos (neg (* -1 eps))) 2)))))) (cos (neg (* -1 eps)))) (* -1 (/ (pow (sin (neg (* -1 eps))) 2) (pow (cos (neg (* -1 eps))) 2))))) (/ (sin (neg (* -1 eps))) (cos (neg (* -1 eps)))))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin (neg (* -1 eps))) 2) (- 1 (* -1 (/ (pow (sin (neg (* -1 eps))) 2) (pow (cos (neg (* -1 eps))) 2))))) (pow (cos (neg (* -1 eps))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (neg (* -1 eps))) 2) (pow (cos (neg (* -1 eps))) 2))))) (* 1/6 (/ (pow (sin (neg (* -1 eps))) 2) (pow (cos (neg (* -1 eps))) 2)))))))) (* -1 (/ (* (sin (neg (* -1 eps))) (- 1 (* -1 (/ (pow (sin (neg (* -1 eps))) 2) (pow (cos (neg (* -1 eps))) 2))))) (cos (neg (* -1 eps))))))) (* -1 (/ (pow (sin (neg (* -1 eps))) 2) (pow (cos (neg (* -1 eps))) 2))))) (/ (sin (neg (* -1 eps))) (cos (neg (* -1 eps)))))
(+ (* x (- 1 (* -1 (/ (pow (sin (neg (* -1 eps))) 2) (pow (cos (neg (* -1 eps))) 2))))) (/ (sin (neg (* -1 eps))) (cos (neg (* -1 eps)))))
(+ (* x (- (+ 1 (/ (* x (* (sin (neg (* -1 eps))) (- 1 (* -1 (/ (pow (sin (neg (* -1 eps))) 2) (pow (cos (neg (* -1 eps))) 2)))))) (cos (neg (* -1 eps))))) (* -1 (/ (pow (sin (neg (* -1 eps))) 2) (pow (cos (neg (* -1 eps))) 2))))) (/ (sin (neg (* -1 eps))) (cos (neg (* -1 eps)))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (neg (* -1 eps))) 2) (- 1 (* -1 (/ (pow (sin (neg (* -1 eps))) 2) (pow (cos (neg (* -1 eps))) 2))))) (pow (cos (neg (* -1 eps))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (neg (* -1 eps))) 2) (pow (cos (neg (* -1 eps))) 2))))) (* 1/6 (/ (pow (sin (neg (* -1 eps))) 2) (pow (cos (neg (* -1 eps))) 2)))))))) (* -1 (/ (* (sin (neg (* -1 eps))) (- 1 (* -1 (/ (pow (sin (neg (* -1 eps))) 2) (pow (cos (neg (* -1 eps))) 2))))) (cos (neg (* -1 eps)))))))) (* -1 (/ (pow (sin (neg (* -1 eps))) 2) (pow (cos (neg (* -1 eps))) 2))))) (/ (sin (neg (* -1 eps))) (cos (neg (* -1 eps)))))
(* -1 (/ (pow x 2) eps))
(* (pow x 2) (- (* -1 (/ x (pow eps 2))) (/ 1 eps)))
(* (pow x 2) (- (* x (- (* -1 (/ x (pow eps 3))) (/ 1 (pow eps 2)))) (/ 1 eps)))
(* (pow x 2) (- (* x (- (* x (- (* -1 (/ x (pow eps 4))) (/ 1 (pow eps 3)))) (/ 1 (pow eps 2)))) (/ 1 eps)))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* 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)))
(+ (* 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)))
(sin eps)
(+ (sin eps) (* x (cos eps)))
(+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))
(+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))
(+ (* 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)))
(+ (* 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)))
(/ (* (pow x 2) (sin eps)) (cos eps))
(* (pow x 2) (- (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)) (* -1 (/ (sin eps) (cos eps)))))
(* (pow x 2) (- (* x (- (* -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)))))
(* (pow x 2) (- (* x (- (* x (- (* -1 (* x (+ (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (sin eps) (+ (* -1 (/ (* (sin eps) (- 1/3 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (* -1/3 (/ (sin eps) (cos eps))))) (cos eps))))) (+ (* -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)))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(* x (+ 1 (/ (* x (sin eps)) (cos eps))))
(* x (+ 1 (* x (- (* x (- 1/3 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1 (/ (sin eps) (cos eps)))))))
(* 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)))))))
1/3
(+ 1/3 (* 4/3 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 4/3 (* 17/9 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/9 (* 248/135 (pow x 2)))))))
(* x (- (* -5/18 (pow x 2)) 1/3))
(* x (- (* (pow x 2) (- (* -61/360 (pow x 2)) 5/18)) 1/3))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -277/3024 (pow x 2)) 61/360)) 5/18)) 1/3))
(* 1/3 eps)
(+ (* 1/3 eps) (* 2/3 (* (pow eps 2) x)))
(+ (* 1/3 eps) (* x (+ (* 2/3 (pow eps 2)) (* 4/3 (* eps x)))))
(+ (* 1/3 eps) (* x (+ (* 2/3 (pow eps 2)) (* x (+ (* -1 (* eps (* x (- (* -14/9 eps) (* 1/3 eps))))) (* 4/3 eps))))))
(* eps x)
(* x (+ eps x))
(* x (+ eps (* x (+ 1 (* x (+ eps (* -1/6 eps)))))))
(* x (+ eps (* x (+ 1 (* x (+ eps (+ (* -1/6 eps) (* 1/6 x))))))))
(* -1 eps)
(+ (* -1 eps) (* -1 x))
(+ (* -1 eps) (* x (- (* -1 (/ x eps)) 1)))
(+ (* -1 eps) (* x (- (* x (- (* -1 (/ x (pow eps 2))) (/ 1 eps))) 1)))
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(/ (* x (sin eps)) (cos eps))
(* x (+ (* 1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps))))
(* x (+ (* (pow x 2) (+ (* 2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))))
(* 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))))
(+ (* x (- (/ (* x (pow (sin eps) 3)) (pow (cos eps) 3)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* 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)))
(+ (* -1 (/ (* (pow (sin x) 3) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -1/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))))
(+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ (* -1 (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (pow (sin x) 2)))
(+ (* -1 (/ (* (pow (sin x) 3) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -2/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))))
(/ (sin (+ x (PI))) (cos (+ x (PI))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(/ (sin (+ eps x)) (cos (+ eps x)))
(* x (+ 1 (/ eps x)))
(* x (- (+ 1 (* -1 (/ (+ (* -1 (pow eps 2)) (pow eps 2)) (pow x 2)))) (* -1 (/ eps x))))
(- (/ (sin (- (/ (pow x 2) (- x eps)) (/ (pow eps 2) (- x eps)))) (cos (- (/ (pow x 2) (- x eps)) (/ (pow eps 2) (- x eps))))) (/ (sin x) (cos x)))
(/ (sin (- (/ (pow x 2) (- x eps)) (/ (pow eps 2) (- x eps)))) (cos (- (/ (pow x 2) (- x eps)) (/ (pow eps 2) (- x eps)))))
(* x (- (+ 1 (/ (pow eps 2) (pow x 2))) (* -1 (/ eps x))))
(* x (- (+ 1 (/ (pow eps 3) (pow x 3))) (+ (* -1 (/ eps x)) (* -1 (/ (pow eps 2) (pow x 2))))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(sin (+ eps x))
(+ (* -1 (/ (sin x) (cos x))) (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))))
(+ (* -1 (/ (sin x) (cos x))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(/ (sin x) (cos x))
(/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(* -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)))))))
(* -1/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))))
(* eps (- (* -1 (/ (* eps (+ (* -1 (/ (* (pow (sin x) 3) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -2/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))))) (cos 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))))))))
(+ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (/ (pow (sin x) 2) (cos x)))
(/ (pow eps 2) x)
(/ (+ (/ (pow eps 3) x) (pow eps 2)) x)
(/ (- (+ (/ (pow eps 4) (pow x 2)) (pow eps 2)) (* -1 (/ (pow eps 3) x))) x)
(/ (- (+ (/ (pow eps 5) (pow x 3)) (pow eps 2)) (+ (* -1 (/ (pow eps 3) x)) (* -1 (/ (pow eps 4) (pow x 2))))) x)
(cos (+ eps x))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x))))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x)))))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(- (/ (sin (neg (+ (* -1 (/ (pow eps 2) (+ eps (* -1 x)))) (/ (pow x 2) (+ eps (* -1 x)))))) (cos (neg (+ (* -1 (/ (pow eps 2) (+ eps (* -1 x)))) (/ (pow x 2) (+ eps (* -1 x))))))) (/ (sin x) (cos x)))
(/ (sin (neg (+ (* -1 (/ (pow eps 2) (+ eps (* -1 x)))) (/ (pow x 2) (+ eps (* -1 x)))))) (cos (neg (+ (* -1 (/ (pow eps 2) (+ eps (* -1 x)))) (/ (pow x 2) (+ eps (* -1 x)))))))
(* -1 (* x (- (* -1 (/ (- (/ (pow eps 2) x) (* -1 eps)) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow eps 3) x)) (pow eps 2)) x)) (* -1 eps)) x)) 1)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(sin (- eps (* -1 x)))
(* -1 (/ (+ (* -1 (/ (pow eps 3) x)) (* -1 (pow eps 2))) x))
(* -1 (/ (+ (* -1 (/ (+ (/ (pow eps 4) x) (pow eps 3)) x)) (* -1 (pow eps 2))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow eps 5) x)) (* -1 (pow eps 4))) x)) (pow eps 3)) x)) (* -1 (pow eps 2))) x))
(cos (- eps (* -1 x)))
(- (/ (sin x) (cos x)) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* 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)))
(+ (* 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)))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* 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)))))
(* 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)))))
(* 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)))))
(+ x (* eps (+ 1 (/ eps x))))
(+ x (* eps (+ 1 (* eps (+ (/ 1 x) (/ eps (pow x 2)))))))
(sin x)
(+ (sin x) (* eps (cos x)))
(+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))
(+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
(+ (* -1 (/ (sin x) (cos x))) (/ (sin x) (cos x)))
(+ (* -1 (/ (sin x) (cos x))) (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))))
(+ (* -1 (/ (sin x) (cos x))) (+ (* eps (- (+ 1 (* -1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))))
(+ (* -1 (/ (sin x) (cos x))) (+ (* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))))
(+ (* -1 (/ (sin x) (cos x))) (+ (/ (sin x) (cos x)) (/ (* eps (pow (sin x) 2)) (pow (cos x) 2))))
(+ (* -1 (/ (sin x) (cos x))) (+ (* eps (- (/ (* eps (pow (sin x) 3)) (pow (cos x) 3)) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))))
(+ (* -1 (/ (sin x) (cos x))) (+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))))
(+ (/ (sin x) (cos x)) (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(+ (* eps (- (/ (* eps (pow (sin x) 3)) (pow (cos x) 3)) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))))
(* eps (+ (* -1 (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* -1 (/ (* eps (+ (* -1 (/ (* (pow (sin x) 3) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -2/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))))) (cos x)))))
(/ (pow (sin x) 2) (cos x))
(+ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (pow (sin x) 2) (cos x)))
(* (pow eps 2) (+ (/ 1 x) (/ eps (pow x 2))))
(* (pow eps 2) (+ (* eps (+ (/ 1 (pow x 2)) (/ eps (pow x 3)))) (/ 1 x)))
(* (pow eps 2) (+ (* eps (+ (* eps (+ (/ 1 (pow x 3)) (/ eps (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x)))
(cos x)
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(/ (* eps (sin x)) (cos x))
(* eps (+ (* 1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x))))
(* eps (+ (* (pow eps 2) (+ (* 2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x))))
(* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 17/315 (/ (* (pow eps 2) (sin x)) (cos x))) (* 2/15 (/ (sin x) (cos x))))))) (/ (sin x) (cos x))))
(* eps (+ 1 (/ (* eps (sin x)) (cos x))))
(* eps (+ 1 (* eps (- (* eps (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (sin x) (cos x)))))))
(* eps (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* -1/3 (/ (sin x) (cos x))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (sin x) (cos x)))))))
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (pow x 2) (pow eps 2))))))
(/ (+ (* -1 (/ (pow x 3) eps)) (* -1 (pow x 2))) eps)
(/ (- (+ (* -1 (/ (pow x 4) (pow eps 2))) (* -1 (pow x 2))) (/ (pow x 3) eps)) eps)
(/ (- (+ (* -1 (/ (pow x 5) (pow eps 3))) (* -1 (pow x 2))) (+ (/ (pow x 3) eps) (/ (pow x 4) (pow eps 2)))) eps)
(* -1 (/ (* (pow eps 2) (+ (* -1 (/ (* (pow (sin x) 3) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -2/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))))) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) eps)) (* -1 (/ (+ (* -1 (/ (* (pow (sin x) 3) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -2/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))))) (cos x)))))
(* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (pow (sin x) 2) (* eps (cos x)))))
(* eps (- (* -1 (/ x eps)) 1))
(* eps (- (* -1 (/ (pow x 2) (pow eps 2))) (+ 1 (/ x eps))))
(* eps (- (* -1 (/ (pow x 3) (pow eps 3))) (+ 1 (+ (/ x eps) (/ (pow x 2) (pow eps 2))))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ (+ x (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) eps))) eps)) 1)))
(- (/ (sin (- (/ (pow x 2) (+ x (* -1 eps))) (/ (pow eps 2) (+ x (* -1 eps))))) (cos (- (/ (pow x 2) (+ x (* -1 eps))) (/ (pow eps 2) (+ x (* -1 eps)))))) (/ (sin x) (cos x)))
(/ (sin (- (/ (pow x 2) (+ x (* -1 eps))) (/ (pow eps 2) (+ x (* -1 eps))))) (cos (- (/ (pow x 2) (+ x (* -1 eps))) (/ (pow eps 2) (+ x (* -1 eps))))))
(* -1 (/ (+ (/ (pow x 3) eps) (pow x 2)) eps))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 4) eps)) (pow x 3)) eps)) (pow x 2)) eps))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 5) eps) (* -1 (pow x 4))) eps)) (pow x 3)) eps)) (pow x 2)) eps))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(sin (- x (* -1 eps)))
(* -1 (* (pow eps 2) (+ (* -1 (/ (* (pow (sin x) 3) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 3))) (* -2/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))))
(* (pow eps 2) (+ (* -1 (+ (* -1 (/ (* (pow (sin x) 3) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 3))) (* -2/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))) (* -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)))))) eps))))
(* -1 (* eps (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))))
(* -1 (* eps (+ (* -1 (/ (pow (sin x) 2) (* eps (cos x)))) (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))))
(* -1 (* eps (+ 1 (/ x eps))))
(* -1 (* eps (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) eps)) x) eps)))))
(* -1 (* eps (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) eps) (* -1 (pow x 2))) eps)) x) eps)))))
(cos (- x (* -1 eps)))

Calls

6 calls:

Time	Variable		Point	Expression
34.0ms	x	@	-inf	((+ (* (sin x) (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) (/ (neg (pow (sin x) 2)) (pow (cos x) 2)))) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3)) (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (pow (sin x) 2) 1/6) (* (neg (pow (sin x) 2)) (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1))) (pow (cos x) 2))) (+ (* (pow (sin x) 2) 1/6) (* (neg (pow (sin x) 2)) (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1))) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (+ (* (sin x) (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) (/ (neg (pow (sin x) 2)) (pow (cos x) 2)))) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3))) (tan (+ (PI) x)) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (- (/ (* x x) (- x eps)) (/ (* eps eps) (- x eps))) (- (tan (- (/ (* x x) (- x eps)) (/ (* eps eps) (- x eps)))) (tan x)) (tan (- (/ (* x x) (- x eps)) (/ (* eps eps) (- x eps)))) (/ (* x x) (- x eps)) (- (tan (+ x eps)) (tan x)) (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) (/ (sin (+ eps x)) (cos (+ eps x))) (sin (+ eps x)) (+ (+ (* -1 (tan x)) (/ (tan x) (- 1 (* (tan eps) (tan x))))) (/ (tan eps) (- 1 (* (tan eps) (tan x))))) (+ (* -1 (tan x)) (/ (tan x) (- 1 (* (tan eps) (tan x))))) (tan x) (/ (tan x) (- 1 (* (tan eps) (tan x)))) (- -1/6 (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (pow (sin x) 2) 1/6) (* (neg (pow (sin x) 2)) (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1))) (pow (cos x) 2)))) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (* (+ (* (neg eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (+ (* (sin x) (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) (/ (neg (pow (sin x) 2)) (pow (cos x) 2)))) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3))) (cos x))) (- -1/6 (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (pow (sin x) 2) 1/6) (* (neg (pow (sin x) 2)) (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1))) (pow (cos x) 2))))) eps) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (PI) (/ (* eps eps) (- x eps)) (cos (+ eps x)) (/ (sin x) (cos x)) (* (tan eps) (tan x)) (/ (tan eps) (- 1 (* (tan eps) (tan x)))))
25.0ms	x	@	0	((+ (* (sin x) (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) (/ (neg (pow (sin x) 2)) (pow (cos x) 2)))) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3)) (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (pow (sin x) 2) 1/6) (* (neg (pow (sin x) 2)) (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1))) (pow (cos x) 2))) (+ (* (pow (sin x) 2) 1/6) (* (neg (pow (sin x) 2)) (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1))) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (+ (* (sin x) (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) (/ (neg (pow (sin x) 2)) (pow (cos x) 2)))) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3))) (tan (+ (PI) x)) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (- (/ (* x x) (- x eps)) (/ (* eps eps) (- x eps))) (- (tan (- (/ (* x x) (- x eps)) (/ (* eps eps) (- x eps)))) (tan x)) (tan (- (/ (* x x) (- x eps)) (/ (* eps eps) (- x eps)))) (/ (* x x) (- x eps)) (- (tan (+ x eps)) (tan x)) (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) (/ (sin (+ eps x)) (cos (+ eps x))) (sin (+ eps x)) (+ (+ (* -1 (tan x)) (/ (tan x) (- 1 (* (tan eps) (tan x))))) (/ (tan eps) (- 1 (* (tan eps) (tan x))))) (+ (* -1 (tan x)) (/ (tan x) (- 1 (* (tan eps) (tan x))))) (tan x) (/ (tan x) (- 1 (* (tan eps) (tan x)))) (- -1/6 (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (pow (sin x) 2) 1/6) (* (neg (pow (sin x) 2)) (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1))) (pow (cos x) 2)))) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (* (+ (* (neg eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (+ (* (sin x) (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) (/ (neg (pow (sin x) 2)) (pow (cos x) 2)))) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3))) (cos x))) (- -1/6 (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (pow (sin x) 2) 1/6) (* (neg (pow (sin x) 2)) (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1))) (pow (cos x) 2))))) eps) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (PI) (/ (* eps eps) (- x eps)) (cos (+ eps x)) (/ (sin x) (cos x)) (* (tan eps) (tan x)) (/ (tan eps) (- 1 (* (tan eps) (tan x)))))
17.0ms	x	@	inf	((+ (* (sin x) (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) (/ (neg (pow (sin x) 2)) (pow (cos x) 2)))) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3)) (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (pow (sin x) 2) 1/6) (* (neg (pow (sin x) 2)) (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1))) (pow (cos x) 2))) (+ (* (pow (sin x) 2) 1/6) (* (neg (pow (sin x) 2)) (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1))) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (+ (* (sin x) (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) (/ (neg (pow (sin x) 2)) (pow (cos x) 2)))) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3))) (tan (+ (PI) x)) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (- (/ (* x x) (- x eps)) (/ (* eps eps) (- x eps))) (- (tan (- (/ (* x x) (- x eps)) (/ (* eps eps) (- x eps)))) (tan x)) (tan (- (/ (* x x) (- x eps)) (/ (* eps eps) (- x eps)))) (/ (* x x) (- x eps)) (- (tan (+ x eps)) (tan x)) (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) (/ (sin (+ eps x)) (cos (+ eps x))) (sin (+ eps x)) (+ (+ (* -1 (tan x)) (/ (tan x) (- 1 (* (tan eps) (tan x))))) (/ (tan eps) (- 1 (* (tan eps) (tan x))))) (+ (* -1 (tan x)) (/ (tan x) (- 1 (* (tan eps) (tan x))))) (tan x) (/ (tan x) (- 1 (* (tan eps) (tan x)))) (- -1/6 (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (pow (sin x) 2) 1/6) (* (neg (pow (sin x) 2)) (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1))) (pow (cos x) 2)))) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (* (+ (* (neg eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (+ (* (sin x) (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) (/ (neg (pow (sin x) 2)) (pow (cos x) 2)))) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3))) (cos x))) (- -1/6 (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (pow (sin x) 2) 1/6) (* (neg (pow (sin x) 2)) (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1))) (pow (cos x) 2))))) eps) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (PI) (/ (* eps eps) (- x eps)) (cos (+ eps x)) (/ (sin x) (cos x)) (* (tan eps) (tan x)) (/ (tan eps) (- 1 (* (tan eps) (tan x)))))
12.0ms	eps	@	0	((+ (* (sin x) (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) (/ (neg (pow (sin x) 2)) (pow (cos x) 2)))) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3)) (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (pow (sin x) 2) 1/6) (* (neg (pow (sin x) 2)) (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1))) (pow (cos x) 2))) (+ (* (pow (sin x) 2) 1/6) (* (neg (pow (sin x) 2)) (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1))) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (+ (* (sin x) (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) (/ (neg (pow (sin x) 2)) (pow (cos x) 2)))) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3))) (tan (+ (PI) x)) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (- (/ (* x x) (- x eps)) (/ (* eps eps) (- x eps))) (- (tan (- (/ (* x x) (- x eps)) (/ (* eps eps) (- x eps)))) (tan x)) (tan (- (/ (* x x) (- x eps)) (/ (* eps eps) (- x eps)))) (/ (* x x) (- x eps)) (- (tan (+ x eps)) (tan x)) (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) (/ (sin (+ eps x)) (cos (+ eps x))) (sin (+ eps x)) (+ (+ (* -1 (tan x)) (/ (tan x) (- 1 (* (tan eps) (tan x))))) (/ (tan eps) (- 1 (* (tan eps) (tan x))))) (+ (* -1 (tan x)) (/ (tan x) (- 1 (* (tan eps) (tan x))))) (tan x) (/ (tan x) (- 1 (* (tan eps) (tan x)))) (- -1/6 (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (pow (sin x) 2) 1/6) (* (neg (pow (sin x) 2)) (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1))) (pow (cos x) 2)))) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (* (+ (* (neg eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (+ (* (sin x) (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) (/ (neg (pow (sin x) 2)) (pow (cos x) 2)))) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3))) (cos x))) (- -1/6 (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (pow (sin x) 2) 1/6) (* (neg (pow (sin x) 2)) (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1))) (pow (cos x) 2))))) eps) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (PI) (/ (* eps eps) (- x eps)) (cos (+ eps x)) (/ (sin x) (cos x)) (* (tan eps) (tan x)) (/ (tan eps) (- 1 (* (tan eps) (tan x)))))
11.0ms	eps	@	-inf	((+ (* (sin x) (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) (/ (neg (pow (sin x) 2)) (pow (cos x) 2)))) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3)) (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (pow (sin x) 2) 1/6) (* (neg (pow (sin x) 2)) (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1))) (pow (cos x) 2))) (+ (* (pow (sin x) 2) 1/6) (* (neg (pow (sin x) 2)) (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1))) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (+ (* (sin x) (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) (/ (neg (pow (sin x) 2)) (pow (cos x) 2)))) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3))) (tan (+ (PI) x)) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (- (/ (* x x) (- x eps)) (/ (* eps eps) (- x eps))) (- (tan (- (/ (* x x) (- x eps)) (/ (* eps eps) (- x eps)))) (tan x)) (tan (- (/ (* x x) (- x eps)) (/ (* eps eps) (- x eps)))) (/ (* x x) (- x eps)) (- (tan (+ x eps)) (tan x)) (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) (/ (sin (+ eps x)) (cos (+ eps x))) (sin (+ eps x)) (+ (+ (* -1 (tan x)) (/ (tan x) (- 1 (* (tan eps) (tan x))))) (/ (tan eps) (- 1 (* (tan eps) (tan x))))) (+ (* -1 (tan x)) (/ (tan x) (- 1 (* (tan eps) (tan x))))) (tan x) (/ (tan x) (- 1 (* (tan eps) (tan x)))) (- -1/6 (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (pow (sin x) 2) 1/6) (* (neg (pow (sin x) 2)) (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1))) (pow (cos x) 2)))) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (* (+ (* (neg eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (+ (* (sin x) (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) (/ (neg (pow (sin x) 2)) (pow (cos x) 2)))) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3))) (cos x))) (- -1/6 (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (pow (sin x) 2) 1/6) (* (neg (pow (sin x) 2)) (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1))) (pow (cos x) 2))))) eps) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (PI) (/ (* eps eps) (- x eps)) (cos (+ eps x)) (/ (sin x) (cos x)) (* (tan eps) (tan x)) (/ (tan eps) (- 1 (* (tan eps) (tan x)))))

simplify186.0ms (1.1%)

Memory

-21.0MiB live, 184.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	990	5433
1	3428	5012
0	9243	4754

Stop Event

1×	iter limit
1×	node limit

Counts

211 → 209

Calls

Call 1

Inputs
(* -1/3 x)
(* x (- (* -23/18 (pow x 2)) 1/3))
(* x (- (* (pow x 2) (- (* -601/360 (pow x 2)) 23/18)) 1/3))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -23183/15120 (pow x 2)) 601/360)) 23/18)) 1/3))
-1/2
(- (* -4/3 (pow x 2)) 1/2)
(- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/2)
(- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/2)
(* -5/6 (pow x 2))
(* (pow x 2) (- (* -13/18 (pow x 2)) 5/6))
(* (pow x 2) (- (* (pow x 2) (- (* -10/27 (pow x 2)) 13/18)) 5/6))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -373/1890 (pow x 2)) 10/27)) 13/18)) 5/6))
(* -2/3 x)
(* x (- (* -14/9 (pow x 2)) 2/3))
(* x (- (* (pow x 2) (- (* -331/180 (pow x 2)) 14/9)) 2/3))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -3071/1890 (pow x 2)) 331/180)) 14/9)) 2/3))
(/ (sin (PI)) (cos (PI)))
(+ (* x (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(+ (* x (- (+ 1 (/ (* x (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))))) (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI))))))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(- (/ (sin eps) (cos eps)) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (+ (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* x (- (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(/ (sin eps) (cos eps))
(+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* 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)))
(+ (* 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)))
eps
(+ eps x)
(- x (* -1 eps))
(/ (sin (neg (* -1 eps))) (cos (neg (* -1 eps))))
(+ (/ (sin (neg (* -1 eps))) (cos (neg (* -1 eps)))) (/ (* x (pow (sin (neg (* -1 eps))) 2)) (pow (cos (neg (* -1 eps))) 2)))
(+ (* x (- (/ (* x (* (sin (neg (* -1 eps))) (- 1 (* -1 (/ (pow (sin (neg (* -1 eps))) 2) (pow (cos (neg (* -1 eps))) 2)))))) (cos (neg (* -1 eps)))) (* -1 (/ (pow (sin (neg (* -1 eps))) 2) (pow (cos (neg (* -1 eps))) 2))))) (/ (sin (neg (* -1 eps))) (cos (neg (* -1 eps)))))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin (neg (* -1 eps))) 2) (- 1 (* -1 (/ (pow (sin (neg (* -1 eps))) 2) (pow (cos (neg (* -1 eps))) 2))))) (pow (cos (neg (* -1 eps))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (neg (* -1 eps))) 2) (pow (cos (neg (* -1 eps))) 2))))) (* 1/6 (/ (pow (sin (neg (* -1 eps))) 2) (pow (cos (neg (* -1 eps))) 2)))))))) (* -1 (/ (* (sin (neg (* -1 eps))) (- 1 (* -1 (/ (pow (sin (neg (* -1 eps))) 2) (pow (cos (neg (* -1 eps))) 2))))) (cos (neg (* -1 eps))))))) (* -1 (/ (pow (sin (neg (* -1 eps))) 2) (pow (cos (neg (* -1 eps))) 2))))) (/ (sin (neg (* -1 eps))) (cos (neg (* -1 eps)))))
(+ (* x (- 1 (* -1 (/ (pow (sin (neg (* -1 eps))) 2) (pow (cos (neg (* -1 eps))) 2))))) (/ (sin (neg (* -1 eps))) (cos (neg (* -1 eps)))))
(+ (* x (- (+ 1 (/ (* x (* (sin (neg (* -1 eps))) (- 1 (* -1 (/ (pow (sin (neg (* -1 eps))) 2) (pow (cos (neg (* -1 eps))) 2)))))) (cos (neg (* -1 eps))))) (* -1 (/ (pow (sin (neg (* -1 eps))) 2) (pow (cos (neg (* -1 eps))) 2))))) (/ (sin (neg (* -1 eps))) (cos (neg (* -1 eps)))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (neg (* -1 eps))) 2) (- 1 (* -1 (/ (pow (sin (neg (* -1 eps))) 2) (pow (cos (neg (* -1 eps))) 2))))) (pow (cos (neg (* -1 eps))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (neg (* -1 eps))) 2) (pow (cos (neg (* -1 eps))) 2))))) (* 1/6 (/ (pow (sin (neg (* -1 eps))) 2) (pow (cos (neg (* -1 eps))) 2)))))))) (* -1 (/ (* (sin (neg (* -1 eps))) (- 1 (* -1 (/ (pow (sin (neg (* -1 eps))) 2) (pow (cos (neg (* -1 eps))) 2))))) (cos (neg (* -1 eps)))))))) (* -1 (/ (pow (sin (neg (* -1 eps))) 2) (pow (cos (neg (* -1 eps))) 2))))) (/ (sin (neg (* -1 eps))) (cos (neg (* -1 eps)))))
(* -1 (/ (pow x 2) eps))
(* (pow x 2) (- (* -1 (/ x (pow eps 2))) (/ 1 eps)))
(* (pow x 2) (- (* x (- (* -1 (/ x (pow eps 3))) (/ 1 (pow eps 2)))) (/ 1 eps)))
(* (pow x 2) (- (* x (- (* x (- (* -1 (/ x (pow eps 4))) (/ 1 (pow eps 3)))) (/ 1 (pow eps 2)))) (/ 1 eps)))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* 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)))
(+ (* 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)))
(sin eps)
(+ (sin eps) (* x (cos eps)))
(+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))
(+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))
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(+ (* 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)))
(/ (* (pow x 2) (sin eps)) (cos eps))
(* (pow x 2) (- (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)) (* -1 (/ (sin eps) (cos eps)))))
(* (pow x 2) (- (* x (- (* -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)))))
(* (pow x 2) (- (* x (- (* x (- (* -1 (* x (+ (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (sin eps) (+ (* -1 (/ (* (sin eps) (- 1/3 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (* -1/3 (/ (sin eps) (cos eps))))) (cos eps))))) (+ (* -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)))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(* x (+ 1 (/ (* x (sin eps)) (cos eps))))
(* x (+ 1 (* x (- (* x (- 1/3 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1 (/ (sin eps) (cos eps)))))))
(* 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)))))))
1/3
(+ 1/3 (* 4/3 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 4/3 (* 17/9 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/9 (* 248/135 (pow x 2)))))))
(* x (- (* -5/18 (pow x 2)) 1/3))
(* x (- (* (pow x 2) (- (* -61/360 (pow x 2)) 5/18)) 1/3))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -277/3024 (pow x 2)) 61/360)) 5/18)) 1/3))
(* 1/3 eps)
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(+ (* 1/3 eps) (* x (+ (* 2/3 (pow eps 2)) (* 4/3 (* eps x)))))
(+ (* 1/3 eps) (* x (+ (* 2/3 (pow eps 2)) (* x (+ (* -1 (* eps (* x (- (* -14/9 eps) (* 1/3 eps))))) (* 4/3 eps))))))
(* eps x)
(* x (+ eps x))
(* x (+ eps (* x (+ 1 (* x (+ eps (* -1/6 eps)))))))
(* x (+ eps (* x (+ 1 (* x (+ eps (+ (* -1/6 eps) (* 1/6 x))))))))
(* -1 eps)
(+ (* -1 eps) (* -1 x))
(+ (* -1 eps) (* x (- (* -1 (/ x eps)) 1)))
(+ (* -1 eps) (* x (- (* x (- (* -1 (/ x (pow eps 2))) (/ 1 eps))) 1)))
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(/ (* x (sin eps)) (cos eps))
(* x (+ (* 1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps))))
(* x (+ (* (pow x 2) (+ (* 2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))))
(* 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))))
(+ (* x (- (/ (* x (pow (sin eps) 3)) (pow (cos eps) 3)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* 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)))
(+ (* -1 (/ (* (pow (sin x) 3) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -1/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))))
(+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ (* -1 (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (pow (sin x) 2)))
(+ (* -1 (/ (* (pow (sin x) 3) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -2/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))))
(/ (sin (+ x (PI))) (cos (+ x (PI))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(/ (sin (+ eps x)) (cos (+ eps x)))
(* x (+ 1 (/ eps x)))
(* x (- (+ 1 (* -1 (/ (+ (* -1 (pow eps 2)) (pow eps 2)) (pow x 2)))) (* -1 (/ eps x))))
(- (/ (sin (- (/ (pow x 2) (- x eps)) (/ (pow eps 2) (- x eps)))) (cos (- (/ (pow x 2) (- x eps)) (/ (pow eps 2) (- x eps))))) (/ (sin x) (cos x)))
(/ (sin (- (/ (pow x 2) (- x eps)) (/ (pow eps 2) (- x eps)))) (cos (- (/ (pow x 2) (- x eps)) (/ (pow eps 2) (- x eps)))))
(* x (- (+ 1 (/ (pow eps 2) (pow x 2))) (* -1 (/ eps x))))
(* x (- (+ 1 (/ (pow eps 3) (pow x 3))) (+ (* -1 (/ eps x)) (* -1 (/ (pow eps 2) (pow x 2))))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(sin (+ eps x))
(+ (* -1 (/ (sin x) (cos x))) (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))))
(+ (* -1 (/ (sin x) (cos x))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(/ (sin x) (cos x))
(/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(* -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)))))))
(* -1/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))))
(* eps (- (* -1 (/ (* eps (+ (* -1 (/ (* (pow (sin x) 3) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -2/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))))) (cos 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))))))))
(+ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (/ (pow (sin x) 2) (cos x)))
(/ (pow eps 2) x)
(/ (+ (/ (pow eps 3) x) (pow eps 2)) x)
(/ (- (+ (/ (pow eps 4) (pow x 2)) (pow eps 2)) (* -1 (/ (pow eps 3) x))) x)
(/ (- (+ (/ (pow eps 5) (pow x 3)) (pow eps 2)) (+ (* -1 (/ (pow eps 3) x)) (* -1 (/ (pow eps 4) (pow x 2))))) x)
(cos (+ eps x))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x))))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x)))))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(- (/ (sin (neg (+ (* -1 (/ (pow eps 2) (+ eps (* -1 x)))) (/ (pow x 2) (+ eps (* -1 x)))))) (cos (neg (+ (* -1 (/ (pow eps 2) (+ eps (* -1 x)))) (/ (pow x 2) (+ eps (* -1 x))))))) (/ (sin x) (cos x)))
(/ (sin (neg (+ (* -1 (/ (pow eps 2) (+ eps (* -1 x)))) (/ (pow x 2) (+ eps (* -1 x)))))) (cos (neg (+ (* -1 (/ (pow eps 2) (+ eps (* -1 x)))) (/ (pow x 2) (+ eps (* -1 x)))))))
(* -1 (* x (- (* -1 (/ (- (/ (pow eps 2) x) (* -1 eps)) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow eps 3) x)) (pow eps 2)) x)) (* -1 eps)) x)) 1)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(sin (- eps (* -1 x)))
(* -1 (/ (+ (* -1 (/ (pow eps 3) x)) (* -1 (pow eps 2))) x))
(* -1 (/ (+ (* -1 (/ (+ (/ (pow eps 4) x) (pow eps 3)) x)) (* -1 (pow eps 2))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow eps 5) x)) (* -1 (pow eps 4))) x)) (pow eps 3)) x)) (* -1 (pow eps 2))) x))
(cos (- eps (* -1 x)))
(- (/ (sin x) (cos x)) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* 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)))
(+ (* 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)))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* 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)))))
(* 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)))))
(* 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)))))
(+ x (* eps (+ 1 (/ eps x))))
(+ x (* eps (+ 1 (* eps (+ (/ 1 x) (/ eps (pow x 2)))))))
(sin x)
(+ (sin x) (* eps (cos x)))
(+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))
(+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
(+ (* -1 (/ (sin x) (cos x))) (/ (sin x) (cos x)))
(+ (* -1 (/ (sin x) (cos x))) (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))))
(+ (* -1 (/ (sin x) (cos x))) (+ (* eps (- (+ 1 (* -1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))))
(+ (* -1 (/ (sin x) (cos x))) (+ (* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))))
(+ (* -1 (/ (sin x) (cos x))) (+ (/ (sin x) (cos x)) (/ (* eps (pow (sin x) 2)) (pow (cos x) 2))))
(+ (* -1 (/ (sin x) (cos x))) (+ (* eps (- (/ (* eps (pow (sin x) 3)) (pow (cos x) 3)) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))))
(+ (* -1 (/ (sin x) (cos x))) (+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))))
(+ (/ (sin x) (cos x)) (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(+ (* eps (- (/ (* eps (pow (sin x) 3)) (pow (cos x) 3)) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))))
(* eps (+ (* -1 (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* -1 (/ (* eps (+ (* -1 (/ (* (pow (sin x) 3) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -2/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))))) (cos x)))))
(/ (pow (sin x) 2) (cos x))
(+ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (pow (sin x) 2) (cos x)))
(* (pow eps 2) (+ (/ 1 x) (/ eps (pow x 2))))
(* (pow eps 2) (+ (* eps (+ (/ 1 (pow x 2)) (/ eps (pow x 3)))) (/ 1 x)))
(* (pow eps 2) (+ (* eps (+ (* eps (+ (/ 1 (pow x 3)) (/ eps (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x)))
(cos x)
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(/ (* eps (sin x)) (cos x))
(* eps (+ (* 1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x))))
(* eps (+ (* (pow eps 2) (+ (* 2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x))))
(* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 17/315 (/ (* (pow eps 2) (sin x)) (cos x))) (* 2/15 (/ (sin x) (cos x))))))) (/ (sin x) (cos x))))
(* eps (+ 1 (/ (* eps (sin x)) (cos x))))
(* eps (+ 1 (* eps (- (* eps (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (sin x) (cos x)))))))
(* eps (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* -1/3 (/ (sin x) (cos x))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (sin x) (cos x)))))))
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (pow x 2) (pow eps 2))))))
(/ (+ (* -1 (/ (pow x 3) eps)) (* -1 (pow x 2))) eps)
(/ (- (+ (* -1 (/ (pow x 4) (pow eps 2))) (* -1 (pow x 2))) (/ (pow x 3) eps)) eps)
(/ (- (+ (* -1 (/ (pow x 5) (pow eps 3))) (* -1 (pow x 2))) (+ (/ (pow x 3) eps) (/ (pow x 4) (pow eps 2)))) eps)
(* -1 (/ (* (pow eps 2) (+ (* -1 (/ (* (pow (sin x) 3) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -2/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))))) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) eps)) (* -1 (/ (+ (* -1 (/ (* (pow (sin x) 3) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -2/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))))) (cos x)))))
(* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (pow (sin x) 2) (* eps (cos x)))))
(* eps (- (* -1 (/ x eps)) 1))
(* eps (- (* -1 (/ (pow x 2) (pow eps 2))) (+ 1 (/ x eps))))
(* eps (- (* -1 (/ (pow x 3) (pow eps 3))) (+ 1 (+ (/ x eps) (/ (pow x 2) (pow eps 2))))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ (+ x (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) eps))) eps)) 1)))
(- (/ (sin (- (/ (pow x 2) (+ x (* -1 eps))) (/ (pow eps 2) (+ x (* -1 eps))))) (cos (- (/ (pow x 2) (+ x (* -1 eps))) (/ (pow eps 2) (+ x (* -1 eps)))))) (/ (sin x) (cos x)))
(/ (sin (- (/ (pow x 2) (+ x (* -1 eps))) (/ (pow eps 2) (+ x (* -1 eps))))) (cos (- (/ (pow x 2) (+ x (* -1 eps))) (/ (pow eps 2) (+ x (* -1 eps))))))
(* -1 (/ (+ (/ (pow x 3) eps) (pow x 2)) eps))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 4) eps)) (pow x 3)) eps)) (pow x 2)) eps))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 5) eps) (* -1 (pow x 4))) eps)) (pow x 3)) eps)) (pow x 2)) eps))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(sin (- x (* -1 eps)))
(* -1 (* (pow eps 2) (+ (* -1 (/ (* (pow (sin x) 3) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 3))) (* -2/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))))
(* (pow eps 2) (+ (* -1 (+ (* -1 (/ (* (pow (sin x) 3) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 3))) (* -2/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))) (* -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)))))) eps))))
(* -1 (* eps (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))))
(* -1 (* eps (+ (* -1 (/ (pow (sin x) 2) (* eps (cos x)))) (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))))
(* -1 (* eps (+ 1 (/ x eps))))
(* -1 (* eps (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) eps)) x) eps)))))
(* -1 (* eps (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) eps) (* -1 (pow x 2))) eps)) x) eps)))))
(cos (- x (* -1 eps)))

Outputs
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* x (- (* -23/18 (pow x 2)) 1/3))
(.f64 (fma.f64 (.f64 x x) #s(literal -23/18 binary64) #s(literal -1/3 binary64)) x)
(* x (- (* (pow x 2) (- (* -601/360 (pow x 2)) 23/18)) 1/3))
(.f64 (fma.f64 (fma.f64 #s(literal -601/360 binary64) (.f64 x x) #s(literal -23/18 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x)
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -23183/15120 (pow x 2)) 601/360)) 23/18)) 1/3))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -23183/15120 binary64) (.f64 x x) #s(literal -601/360 binary64)) (.f64 x x) #s(literal -23/18 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
-1/2
#s(literal -1/2 binary64)
(- (* -4/3 (pow x 2)) 1/2)
(fma.f64 #s(literal -4/3 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/2)
(fma.f64 (fma.f64 #s(literal -17/9 binary64) (.f64 x x) #s(literal -4/3 binary64)) (.f64 x x) #s(literal -1/2 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal -248/135 binary64) (.f64 x x) #s(literal -17/9 binary64)) (.f64 x x) #s(literal -4/3 binary64)) (*.f64 x x) #s(literal -1/2 binary64))
(* -5/6 (pow x 2))
(.f64 #s(literal -5/6 binary64) (.f64 x x))
(* (pow x 2) (- (* -13/18 (pow x 2)) 5/6))
(.f64 (fma.f64 #s(literal -13/18 binary64) (.f64 x x) #s(literal -5/6 binary64)) (*.f64 x x))
(* (pow x 2) (- (* (pow x 2) (- (* -10/27 (pow x 2)) 13/18)) 5/6))
(.f64 (fma.f64 (fma.f64 #s(literal -10/27 binary64) (.f64 x x) #s(literal -13/18 binary64)) (.f64 x x) #s(literal -5/6 binary64)) (.f64 x x))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -373/1890 (pow x 2)) 10/27)) 13/18)) 5/6))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -373/1890 binary64) (.f64 x x) #s(literal -10/27 binary64)) (.f64 x x) #s(literal -13/18 binary64)) (.f64 x x) #s(literal -5/6 binary64)) (*.f64 x x))
(* -2/3 x)
(*.f64 #s(literal -2/3 binary64) x)
(* x (- (* -14/9 (pow x 2)) 2/3))
(.f64 (fma.f64 #s(literal -14/9 binary64) (.f64 x x) #s(literal -2/3 binary64)) x)
(* x (- (* (pow x 2) (- (* -331/180 (pow x 2)) 14/9)) 2/3))
(.f64 (fma.f64 (fma.f64 #s(literal -331/180 binary64) (.f64 x x) #s(literal -14/9 binary64)) (*.f64 x x) #s(literal -2/3 binary64)) x)
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -3071/1890 (pow x 2)) 331/180)) 14/9)) 2/3))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -3071/1890 binary64) (.f64 x x) #s(literal -331/180 binary64)) (.f64 x x) #s(literal -14/9 binary64)) (.f64 x x) #s(literal -2/3 binary64)) x)
(/ (sin (PI)) (cos (PI)))
#s(literal 0 binary64)
(+ (* x (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
x
(+ (* x (- (+ 1 (/ (* x (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
x
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))))) (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI))))))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x)
(- (/ (sin eps) (cos eps)) (/ (sin (PI)) (cos (PI))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(- (+ (* x (- (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(fma.f64 (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps)) (cos.f64 eps)) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (+ (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* x (- (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) x (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps)) (cos.f64 eps))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/ (sin eps) (cos eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* 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)))
(fma.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps)) (cos.f64 eps)) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* 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)))
(fma.f64 (+.f64 (fma.f64 (fma.f64 (neg.f64 x) (+.f64 (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) #s(literal 1/6 binary64)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps)) (cos.f64 eps))) x #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
eps
(+ eps x)
(+.f64 eps x)
(- x (* -1 eps))
(+.f64 eps x)
(/ (sin (neg (* -1 eps))) (cos (neg (* -1 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+ (/ (sin (neg (* -1 eps))) (cos (neg (* -1 eps)))) (/ (* x (pow (sin (neg (* -1 eps))) 2)) (pow (cos (neg (* -1 eps))) 2)))
(fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (/ (* x (* (sin (neg (* -1 eps))) (- 1 (* -1 (/ (pow (sin (neg (* -1 eps))) 2) (pow (cos (neg (* -1 eps))) 2)))))) (cos (neg (* -1 eps)))) (* -1 (/ (pow (sin (neg (* -1 eps))) 2) (pow (cos (neg (* -1 eps))) 2))))) (/ (sin (neg (* -1 eps))) (cos (neg (* -1 eps)))))
(fma.f64 (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps)) (cos.f64 eps)) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin (neg (* -1 eps))) 2) (- 1 (* -1 (/ (pow (sin (neg (* -1 eps))) 2) (pow (cos (neg (* -1 eps))) 2))))) (pow (cos (neg (* -1 eps))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (neg (* -1 eps))) 2) (pow (cos (neg (* -1 eps))) 2))))) (* 1/6 (/ (pow (sin (neg (* -1 eps))) 2) (pow (cos (neg (* -1 eps))) 2)))))))) (* -1 (/ (* (sin (neg (* -1 eps))) (- 1 (* -1 (/ (pow (sin (neg (* -1 eps))) 2) (pow (cos (neg (* -1 eps))) 2))))) (cos (neg (* -1 eps))))))) (* -1 (/ (pow (sin (neg (* -1 eps))) 2) (pow (cos (neg (* -1 eps))) 2))))) (/ (sin (neg (* -1 eps))) (cos (neg (* -1 eps)))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (+.f64 (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps)) (cos.f64 eps))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- 1 (* -1 (/ (pow (sin (neg (* -1 eps))) 2) (pow (cos (neg (* -1 eps))) 2))))) (/ (sin (neg (* -1 eps))) (cos (neg (* -1 eps)))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (+ 1 (/ (* x (* (sin (neg (* -1 eps))) (- 1 (* -1 (/ (pow (sin (neg (* -1 eps))) 2) (pow (cos (neg (* -1 eps))) 2)))))) (cos (neg (* -1 eps))))) (* -1 (/ (pow (sin (neg (* -1 eps))) 2) (pow (cos (neg (* -1 eps))) 2))))) (/ (sin (neg (* -1 eps))) (cos (neg (* -1 eps)))))
(fma.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps)) (cos.f64 eps)) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (neg (* -1 eps))) 2) (- 1 (* -1 (/ (pow (sin (neg (* -1 eps))) 2) (pow (cos (neg (* -1 eps))) 2))))) (pow (cos (neg (* -1 eps))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (neg (* -1 eps))) 2) (pow (cos (neg (* -1 eps))) 2))))) (* 1/6 (/ (pow (sin (neg (* -1 eps))) 2) (pow (cos (neg (* -1 eps))) 2)))))))) (* -1 (/ (* (sin (neg (* -1 eps))) (- 1 (* -1 (/ (pow (sin (neg (* -1 eps))) 2) (pow (cos (neg (* -1 eps))) 2))))) (cos (neg (* -1 eps)))))))) (* -1 (/ (pow (sin (neg (* -1 eps))) 2) (pow (cos (neg (* -1 eps))) 2))))) (/ (sin (neg (* -1 eps))) (cos (neg (* -1 eps)))))
(fma.f64 (+.f64 (fma.f64 (fma.f64 (neg.f64 x) (+.f64 (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) #s(literal 1/6 binary64)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps)) (cos.f64 eps))) x #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(* -1 (/ (pow x 2) eps))
(/.f64 (*.f64 (neg.f64 x) x) eps)
(* (pow x 2) (- (* -1 (/ x (pow eps 2))) (/ 1 eps)))
(.f64 (fma.f64 (/.f64 #s(literal -1 binary64) eps) (/.f64 x eps) (/.f64 #s(literal -1 binary64) eps)) (.f64 x x))
(* (pow x 2) (- (* x (- (* -1 (/ x (pow eps 3))) (/ 1 (pow eps 2)))) (/ 1 eps)))
(.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 eps #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 eps eps))) x (/.f64 #s(literal -1 binary64) eps)) (*.f64 x x))
(* (pow x 2) (- (* x (- (* x (- (* -1 (/ x (pow eps 4))) (/ 1 (pow eps 3)))) (/ 1 (pow eps 2)))) (/ 1 eps)))
(.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 eps #s(literal 4 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64)))) x (/.f64 #s(literal -1 binary64) (.f64 eps eps))) x (/.f64 #s(literal -1 binary64) eps)) (*.f64 x x))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* 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)))
(fma.f64 (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps)) (cos.f64 eps)) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
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(sin.f64 eps)
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(+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))
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x
(* x (+ 1 (* 1/3 (pow x 2))))
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1/3
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(* x (- (* -5/18 (pow x 2)) 1/3))
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(* 1/3 eps)
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(+ (* 1/3 eps) (* 2/3 (* (pow eps 2) x)))
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(+ (* 1/3 eps) (* x (+ (* 2/3 (pow eps 2)) (* 4/3 (* eps x)))))
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(* eps (+ (* -1 (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* -1 (/ (* eps (+ (* -1 (/ (* (pow (sin x) 3) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -2/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))))) (cos x)))))
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(/ (pow (sin x) 2) (cos x))
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(* (pow eps 2) (+ (/ 1 x) (/ eps (pow x 2))))
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(/ (* eps (sin x)) (cos x))
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(* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 17/315 (/ (* (pow eps 2) (sin x)) (cos x))) (* 2/15 (/ (sin x) (cos x))))))) (/ (sin x) (cos x))))
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(* eps (+ 1 (/ (* eps (sin x)) (cos x))))
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(* eps (+ 1 (* eps (- (* eps (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (sin x) (cos x)))))))
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(* eps (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* -1/3 (/ (sin x) (cos x))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (sin x) (cos x)))))))
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(* eps (+ 1 (/ x eps)))
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(* eps (+ 1 (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (pow x 2) (pow eps 2))))))
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(/ (+ (* -1 (/ (pow x 3) eps)) (* -1 (pow x 2))) eps)
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(/ (- (+ (* -1 (/ (pow x 5) (pow eps 3))) (* -1 (pow x 2))) (+ (/ (pow x 3) eps) (/ (pow x 4) (pow eps 2)))) eps)
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(* -1 (/ (* (pow eps 2) (+ (* -1 (/ (* (pow (sin x) 3) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -2/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))))) (cos x)))
(.f64 (.f64 (neg.f64 eps) eps) (/.f64 (fma.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 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)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) #s(literal -2/3 binary64))) (cos.f64 x)))
(* (pow eps 2) (+ (* -1 (/ (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) eps)) (* -1 (/ (+ (* -1 (/ (* (pow (sin x) 3) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -2/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))))) (cos x)))))
(.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 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)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) #s(literal -2/3 binary64))) (neg.f64 (cos.f64 x))) (/.f64 (+.f64 (fma.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 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)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/6 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) #s(literal 1/6 binary64)) eps)) (*.f64 eps eps))
(* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(*.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) (sin.f64 x)) eps)
(* eps (+ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (pow (sin x) 2) (* eps (cos x)))))
(*.f64 (fma.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 x) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) (cos.f64 x))) eps)
(* eps (- (* -1 (/ x eps)) 1))
(neg.f64 (fma.f64 (/.f64 x eps) eps eps))
(* eps (- (* -1 (/ (pow x 2) (pow eps 2))) (+ 1 (/ x eps))))
(*.f64 (neg.f64 (fma.f64 (/.f64 x eps) (/.f64 x eps) (+.f64 (/.f64 x eps) #s(literal 1 binary64)))) eps)
(* eps (- (* -1 (/ (pow x 3) (pow eps 3))) (+ 1 (+ (/ x eps) (/ (pow x 2) (pow eps 2))))))
(*.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)) (fma.f64 (/.f64 x eps) (/.f64 x eps) (/.f64 x eps))) eps)
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(fma.f64 (/.f64 (neg.f64 x) eps) (neg.f64 eps) eps)
(* -1 (* eps (- (* -1 (/ (+ x (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) eps))) eps)) 1)))
(fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 #s(literal 0 binary64) eps)) eps) (neg.f64 eps) eps)
(- (/ (sin (- (/ (pow x 2) (+ x (* -1 eps))) (/ (pow eps 2) (+ x (* -1 eps))))) (cos (- (/ (pow x 2) (+ x (* -1 eps))) (/ (pow eps 2) (+ x (* -1 eps)))))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (-.f64 (/.f64 (.f64 x x) (-.f64 x eps)) (/.f64 (.f64 eps eps) (-.f64 x eps)))) (cos.f64 (-.f64 (/.f64 (.f64 x x) (-.f64 x eps)) (/.f64 (.f64 eps eps) (-.f64 x eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/ (sin (- (/ (pow x 2) (+ x (* -1 eps))) (/ (pow eps 2) (+ x (* -1 eps))))) (cos (- (/ (pow x 2) (+ x (* -1 eps))) (/ (pow eps 2) (+ x (* -1 eps))))))
(/.f64 (sin.f64 (-.f64 (/.f64 (.f64 x x) (-.f64 x eps)) (/.f64 (.f64 eps eps) (-.f64 x eps)))) (cos.f64 (-.f64 (/.f64 (.f64 x x) (-.f64 x eps)) (/.f64 (.f64 eps eps) (-.f64 x eps)))))
(* -1 (/ (+ (/ (pow x 3) eps) (pow x 2)) eps))
(/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) (neg.f64 eps))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 4) eps)) (pow x 3)) eps)) (pow x 2)) eps))
(/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 eps)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 eps))) (neg.f64 eps))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 5) eps) (* -1 (pow x 4))) eps)) (pow x 3)) eps)) (pow x 2)) eps))
(/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64))) (neg.f64 eps)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 eps))) (neg.f64 eps))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(sin (- x (* -1 eps)))
(sin.f64 (+.f64 eps x))
(* -1 (* (pow eps 2) (+ (* -1 (/ (* (pow (sin x) 3) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 3))) (* -2/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))))
(.f64 (fma.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 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)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x)) #s(literal -2/3 binary64))) (*.f64 (neg.f64 eps) eps))
(* (pow eps 2) (+ (* -1 (+ (* -1 (/ (* (pow (sin x) 3) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 3))) (* -2/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))) (* -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)))))) eps))))
(.f64 (-.f64 (neg.f64 (fma.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 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)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x)) #s(literal -2/3 binary64)))) (/.f64 (+.f64 (fma.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 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)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/6 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) #s(literal 1/6 binary64)) eps)) (*.f64 eps eps))
(* -1 (* eps (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))))
(.f64 (.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal -1 binary64)) (sin.f64 x)) (neg.f64 eps))
(* -1 (* eps (+ (* -1 (/ (pow (sin x) 2) (* eps (cos x)))) (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))))
(*.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal -1 binary64)) (sin.f64 x) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) (neg.f64 (cos.f64 x)))) (neg.f64 eps))
(* -1 (* eps (+ 1 (/ x eps))))
(neg.f64 (fma.f64 (/.f64 x eps) eps eps))
(* -1 (* eps (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) eps)) x) eps)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 (/.f64 (.f64 x x) eps) x)) eps)) (neg.f64 eps))
(* -1 (* eps (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) eps) (* -1 (pow x 2))) eps)) x) eps)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) eps) x)) eps)) (neg.f64 eps))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 eps x))

rewrite248.0ms (1.5%)

Memory

-0.4MiB live, 310.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	562
0	131	480
1	657	357
2	6555	357
0	8128	354

Stop Event

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

Counts

30 → 1 250

Calls

Call 1

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

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

eval258.0ms (1.6%)

Memory: 20.6MiB live, 208.5MiB allocated
Compiler: Compiled 65 918 to 5 264 computations (92% saved)

prune121.0ms (0.7%)

Memory

-5.1MiB live, 73.3MiB allocated

Pruning

37 alts after pruning (33 fresh and 4 done)

	Pruned	Kept	Total
New	933	22	955
Fresh	6	11	17
Picked	2	3	5
Done	0	1	1
Total	941	37	978

Accuracy

100.0%

Counts

978 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.0%	(fma.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 2 binary64)))) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal 1 binary64)) (neg.f64 (tan.f64 x)))
	63.7%	(fma.f64 (sin.f64 (neg.f64 (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 eps x)))) (neg.f64 (tan.f64 x)))
	63.7%	(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 eps x)))
	63.9%	(fma.f64 (neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x))))) (neg.f64 (tan.f64 x)))
	64.0%	(fma.f64 (neg.f64 (tan.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))) (fma.f64 #s(literal -1 binary64) (tan.f64 x) (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))))
	62.8%	(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x)))
	63.9%	(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x)) (.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) (sin.f64 x))) (*.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) (cos.f64 x)))
▶	38.0%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
	64.0%	(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x)))) (tan.f64 x))
	64.0%	(-.f64 (+.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 eps) (tan.f64 x)))) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 eps) (tan.f64 x))))) (tan.f64 x))
✓	39.7%	(-.f64 (tan.f64 (-.f64 (/.f64 (.f64 x x) (-.f64 x eps)) (/.f64 (.f64 eps eps) (-.f64 x eps)))) (tan.f64 x))
	38.5%	(-.f64 (tan.f64 (-.f64 (/.f64 (.f64 x x) (-.f64 x eps)) (/.f64 (.f64 eps 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)))
	38.4%	(-.f64 (tan.f64 (-.f64 (/.f64 (.f64 x x) (-.f64 x eps)) (/.f64 (.f64 eps eps) (-.f64 x eps)))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
	38.3%	(-.f64 (tan.f64 (-.f64 (/.f64 (.f64 x x) (-.f64 x eps)) (/.f64 (.f64 eps eps) (-.f64 x eps)))) #s(approx (tan x) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 1 binary64)) x)))
	4.4%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (+.f64 eps (PI.f64)))) (tan.f64 x))
	4.4%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 eps (PI.f64)))) (tan.f64 x))
▶	7.5%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 (+.f64 (PI.f64) x)))
	63.7%	(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
✓	7.6%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
✓	63.7%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	62.3%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x)))
	61.9%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) x))
	7.9%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
	98.5%	(+.f64 (fma.f64 #s(literal -1 binary64) (tan.f64 x) (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 eps) (tan.f64 x))))) #s(approx (/ (tan eps) (- 1 ( (tan eps) (tan x)))) (fma.f64 (/.f64 (*.f64 (sin.f64 x) eps) (cos.f64 x)) eps eps)))
▶	98.6%	(+.f64 (fma.f64 #s(literal -1 binary64) #s(approx (tan x) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 eps) (tan.f64 x))))) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 eps) (tan.f64 x)))))
	98.9%	(+.f64 #s(approx (+ (* -1 (tan x)) (/ (tan x) (- 1 (* (tan eps) (tan x))))) (+.f64 #s(literal 0 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 eps) (tan.f64 x)))))
	98.7%	#s(approx (- (tan (- (/ (* x x) (- x eps)) (/ (* eps eps) (- x eps)))) (tan x)) (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps))
	97.4%	#s(approx (- (tan (- (/ (* x x) (- x eps)) (/ (* eps eps) (- x eps)))) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
	99.5%	#s(approx (- (tan (- (/ (* x x) (- x eps)) (/ (* eps eps) (- x eps)))) (tan x)) (*.f64 (+.f64 (fma.f64 eps (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps))
▶	5.3%	#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) #s(literal 0 binary64))
▶	99.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (sin.f64 x) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (sin.f64 x) #s(literal -1/3 binary64)) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (sin.f64 x) #s(literal -1/3 binary64))))) (cos.f64 x)) (neg.f64 eps) (-.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))))) eps) eps (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x))) eps eps))
	29.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (.f64 (fma.f64 (neg.f64 eps) (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) (sin.f64 x)) #s(literal -1/3 binary64) (fma.f64 (sin.f64 x) (.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) (sin.f64 x)) #s(literal -1/3 binary64)))) (cos.f64 x)) (-.f64 #s(literal -1/6 binary64) (fma.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) eps) eps (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (sin.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (sin.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (sin.f64 x)) (*.f64 (sin.f64 x) (tan.f64 x)))))) (cos.f64 x))) eps eps))
	99.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps) eps (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x))) eps eps))
	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 #s(approx (* (+ (* (neg eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (+ (* (sin x) (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) (/ (neg (pow (sin x) 2)) (pow (cos x) 2)))) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3))) (cos x))) (- -1/6 (+ (* (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1) -1/2) (/ (+ (* (pow (sin x) 2) 1/6) (* (neg (pow (sin x) 2)) (+ (* (sin x) (/ (sin x) (pow (cos x) 2))) 1))) (pow (cos x) 2))))) eps) (*.f64 #s(literal 1/3 binary64) eps)) eps (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x))) eps eps))
	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x)) eps eps))
	63.7%	#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
✓	63.7%	#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))

Compiler

Compiled 2 532 to 1 248 computations (50.7% saved)

simplify182.0ms (1.1%)

Memory

17.5MiB live, 102.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (sin.f64 x) (cos.f64 x))
cost-diff	0	#s(approx (tan x) (/.f64 (sin.f64 x) (cos.f64 x)))
cost-diff	1	(fma.f64 #s(literal -1 binary64) #s(approx (tan x) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x)))))
cost-diff	8	(+.f64 (fma.f64 #s(literal -1 binary64) #s(approx (tan x) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 eps) (tan.f64 x))))) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 eps) (tan.f64 x)))))
cost-diff	2	(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
cost-diff	2	(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x))) #s(literal 1 binary64))
cost-diff	2	(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
cost-diff	14	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
cost-diff	0	(+.f64 (+.f64 (PI.f64) x) eps)
cost-diff	0	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 (+.f64 (PI.f64) x)))
cost-diff	2	(tan.f64 (+.f64 (PI.f64) x))
cost-diff	2	(tan.f64 (+.f64 (+.f64 (PI.f64) x) eps))
cost-diff	0	#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) #s(literal 0 binary64))
cost-diff	1	(fma.f64 (/.f64 (fma.f64 (.f64 (sin.f64 x) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (sin.f64 x) #s(literal -1/3 binary64)) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (sin.f64 x) #s(literal -1/3 binary64))))) (cos.f64 x)) (neg.f64 eps) (-.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))))
cost-diff	7	(fma.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
cost-diff	10	(fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (sin.f64 x) #s(literal -1/3 binary64)) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (sin.f64 x) #s(literal -1/3 binary64))))
cost-diff	10	(fma.f64 (.f64 (sin.f64 x) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (sin.f64 x) #s(literal -1/3 binary64)) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (sin.f64 x) #s(literal -1/3 binary64)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	1008
0	135	904
1	307	789
2	1050	754
3	5299	741
0	8272	733

Stop Event

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

Calls

Call 1

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

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

localize641.0ms (4%)

Memory

-2.6MiB live, 775.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(/.f64 (sin.f64 x) (cos.f64 x))
accuracy	0.015625	(/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x))))
accuracy	0.01953125	(*.f64 (tan.f64 eps) (tan.f64 x))
accuracy	21.950000547516535	(fma.f64 #s(literal -1 binary64) #s(approx (tan x) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x)))))
accuracy	0.16796875	(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
accuracy	0.28125	(/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x)))
accuracy	23.183266637181983	(-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x))) #s(literal 1 binary64)))
accuracy	26.117187658003857	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
accuracy	0.01953125	(+.f64 (+.f64 (PI.f64) x) eps)
accuracy	23.03412384338284	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 (+.f64 (PI.f64) x)))
accuracy	58.563395146220216	(tan.f64 (+.f64 (PI.f64) x))
accuracy	58.58511003234852	(tan.f64 (+.f64 (+.f64 (PI.f64) x) eps))
accuracy	60.59390402941755	#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) #s(literal 0 binary64))
accuracy	0.14453125	(fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))
accuracy	0.296875	(.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (sin.f64 x) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (sin.f64 x) #s(literal -1/3 binary64)) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (sin.f64 x) #s(literal -1/3 binary64))))) (cos.f64 x)) (neg.f64 eps) (-.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))))) eps)
accuracy	0.34375	(*.f64 (sin.f64 x) #s(literal -1/3 binary64))
accuracy	0.9850387695368841	(-.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))))

Samples

472.0ms	228×	1	valid
60.0ms	21×	2	valid
21.0ms	2×	3	valid
3.0ms	5×	0	valid

Compiler

Compiled 1 976 to 150 computations (92.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 503.0ms

ival-tan: 246.0ms (48.9% of total)

ival-mult: 58.0ms (11.5% of total)

ival-div: 52.0ms (10.3% of total)

adjust: 49.0ms (9.7% of total)

ival-add: 36.0ms (7.2% of total)

ival-sub: 16.0ms (3.2% of total)

const: 16.0ms (3.2% of total)

ival-pow2: 14.0ms (2.8% of total)

ival-neg: 7.0ms (1.4% of total)

ival-cos: 4.0ms (0.8% of total)

ival-sin: 3.0ms (0.6% of total)

ival-pi: 2.0ms (0.4% of total)

exact: 1.0ms (0.2% of total)

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

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

series97.0ms (0.6%)

Memory

10.7MiB live, 131.2MiB allocated

Counts

25 → 181

Calls

Call 1

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

Outputs
(* -2/3 x)
(* x (- (* -14/9 (pow x 2)) 2/3))
(* x (- (* (pow x 2) (- (* -331/180 (pow x 2)) 14/9)) 2/3))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -3071/1890 (pow x 2)) 331/180)) 14/9)) 2/3))
(* x (- (* -5/9 (pow x 2)) 2/3))
(* x (- (* (pow x 2) (- (* -61/180 (pow x 2)) 5/9)) 2/3))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -277/1512 (pow x 2)) 61/180)) 5/9)) 2/3))
-1/2
(- (* -3/2 (pow x 2)) 1/2)
(- (* (pow x 2) (- (* -2 (pow x 2)) 3/2)) 1/2)
(- (* (pow x 2) (- (* (pow x 2) (- (* -19/10 (pow x 2)) 2)) 3/2)) 1/2)
1/3
(+ 1/3 (* 2/3 (* eps x)))
(+ 1/3 (* x (+ (* 2/3 eps) (* 4/3 x))))
(+ 1/3 (* x (+ (* 2/3 eps) (* x (+ 4/3 (* -1 (* x (- (* -14/9 eps) (* 1/3 eps)))))))))
(- (/ (sin eps) (cos eps)) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (+ (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* x (- (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(/ (sin (+ eps (PI))) (cos (+ eps (PI))))
(+ (* x (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))
(+ (* x (- (+ 1 (/ (* x (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))) (cos (+ eps (PI))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ eps (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (pow (cos (+ eps (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (* 1/6 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))))) (* -1 (/ (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (cos (+ eps (PI)))))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))
(/ (sin (PI)) (cos (PI)))
(+ (* x (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(+ (* x (- (+ 1 (/ (* x (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))))) (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI))))))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(- (/ (sin (+ eps (PI))) (cos (+ eps (PI)))) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI))))) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* -1 (/ (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (cos (+ eps (PI)))))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI))))) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (+ (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* x (- (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (+ (* -1 (/ (* (pow (sin (+ eps (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (pow (cos (+ eps (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (* 1/6 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))))) (* -1 (/ (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (cos (+ eps (PI)))))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI))))) (/ (sin (PI)) (cos (PI))))
(+ eps (PI))
(+ eps (+ x (PI)))
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (+ (* x (+ (* -1 (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))) (+ (* 1/3 (/ (sin eps) (cos eps))) (+ (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)) (/ (* (sin eps) (- (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2)) 1/3)) (cos eps)))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(+ (* x (+ (* x (+ (* -1 (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))) (+ (* 1/3 (/ (sin eps) (cos eps))) (+ (* x (+ (* -1 (+ 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 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (+ (* 1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (- (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2)) 1/3)) (/ (* (sin eps) (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps)))) (cos eps))))))) (+ (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)) (/ (* (sin eps) (- (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2)) 1/3)) (cos eps))))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(/ 1 x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)
(/ (cos eps) (sin eps))
(+ (* -1 (/ (* x (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (pow (sin eps) 2))) (/ (cos eps) (sin eps)))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))))) (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2)))) (/ (cos eps) (sin eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (cos eps) (* (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (sin eps))) (+ (* -1 (/ (* (pow (cos eps) 2) (+ 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))))))) (pow (sin eps) 2))) (* -1 (/ (* (pow (cos eps) 2) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 2))))))) (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))))) (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2)))) (/ (cos eps) (sin eps)))
(/ (cos eps) (* x (sin eps)))
(/ (+ (* -1 (/ (* x (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (pow (sin eps) 2))) (/ (cos eps) (sin eps))) x)
(/ (+ (* x (- (* -1 (* x (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (pow (cos eps) 2) (+ (* 1/3 (/ (sin eps) (cos eps))) (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))) (pow (sin eps) 2))))) (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2)))) (/ (cos eps) (sin eps))) x)
(/ (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (cos eps) (* (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (pow (cos eps) 2) (+ (* 1/3 (/ (sin eps) (cos eps))) (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))) (pow (sin eps) 2))) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (sin eps))) (+ (* -1 (/ (* (pow (cos eps) 3) (* (+ (* 1/3 (/ (sin eps) (cos eps))) (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (pow (sin eps) 3))) (/ (* (pow (cos eps) 2) (+ (* -1 (+ 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))))))) (* 1/3 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (pow (sin eps) 2)))))) (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (pow (cos eps) 2) (+ (* 1/3 (/ (sin eps) (cos eps))) (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))) (pow (sin eps) 2))))) (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2)))) (/ (cos eps) (sin eps))) x)
(+ (* 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)))
(+ (* 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)))
(/ (* (pow x 2) (sin eps)) (cos eps))
(* (pow x 2) (- (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)) (* -1 (/ (sin eps) (cos eps)))))
(* (pow x 2) (- (* x (- (* -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)))))
(* (pow x 2) (- (* x (- (* x (- (* -1 (* x (+ (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (sin eps) (+ (* -1 (/ (* (sin eps) (- 1/3 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (* -1/3 (/ (sin eps) (cos eps))))) (cos eps))))) (+ (* -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)))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(+ 1/3 (* 4/3 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 4/3 (* 17/9 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/9 (* 248/135 (pow x 2)))))))
(* -1/3 x)
(* x (- (* 1/18 (pow x 2)) 1/3))
(* x (- (* (pow x 2) (+ 1/18 (* -1/360 (pow x 2)))) 1/3))
(* x (- (* (pow x 2) (+ 1/18 (* (pow x 2) (- (* 1/15120 (pow x 2)) 1/360)))) 1/3))
(* 1/3 eps)
(+ (* 1/3 eps) (* 2/3 (* (pow eps 2) x)))
(+ (* 1/3 eps) (* x (+ (* 2/3 (pow eps 2)) (* 4/3 (* eps x)))))
(+ (* 1/3 eps) (* x (+ (* 2/3 (pow eps 2)) (* x (+ (* -1 (* eps (* x (- (* -14/9 eps) (* 1/3 eps))))) (* 4/3 eps))))))
(* eps x)
(* x (+ eps x))
(* x (+ eps (* x (+ 1 (* x (+ eps (* -1/6 eps)))))))
(* x (+ eps (* x (+ 1 (* x (+ eps (+ (* -1/6 eps) (* 1/6 x))))))))
(/ (+ 1 (* -1 (/ (* x (cos eps)) (sin eps)))) x)
(/ (+ 1 (* x (- (* x (- (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2)) 1/3)) (/ (cos eps) (sin eps))))) x)
(/ (+ 1 (* x (- (* x (- (+ (* x (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps)))) (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2))) 1/3)) (/ (cos eps) (sin eps))))) x)
(/ (* x (sin eps)) (cos eps))
(* x (+ (* 1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps))))
(* x (+ (* (pow x 2) (+ (* 2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))))
(* 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))))
(+ (* x (- (/ (* x (pow (sin eps) 3)) (pow (cos eps) 3)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* 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)))
(+ (* -1 (/ (* (pow (sin x) 3) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -2/3 (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* -2/3 (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
(- (+ 1/3 (* -1 (/ (* eps (+ (* -1 (/ (* (pow (sin x) 3) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -2/3 (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))) (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(/ (sin (+ eps (+ x (PI)))) (cos (+ eps (+ x (PI)))))
(/ (sin (+ x (PI))) (cos (+ x (PI))))
(- (/ (sin (+ eps (+ x (PI)))) (cos (+ eps (+ x (PI))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(* x (+ 1 (+ (/ eps x) (/ (PI) x))))
(/ (* (sin x) (* (sin (+ eps x)) (- (/ (cos x) (sin x)) (/ (cos (+ eps x)) (sin (+ eps x)))))) (* (cos x) (cos (+ eps x))))
(/ (cos x) (sin x))
(/ (cos (+ eps x)) (sin (+ eps x)))
(/ (* (cos x) (cos (+ eps x))) (* (sin x) (sin (+ eps x))))
(+ (* -1 (/ (sin x) (cos x))) (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))))
(+ (* -1 (/ (sin x) (cos x))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(/ (sin x) (cos x))
(- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* -1/3 (sin x))
(* eps (- (+ 1/3 (* -1 (/ (* eps (+ (* -1 (/ (* (pow (sin x) 3) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -2/3 (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))) (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
(+ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (/ (pow (sin x) 2) (cos x)))
(- (/ (cos x) (sin x)) (/ (cos (+ eps x)) (sin (+ eps x))))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x)))))
(/ (sin (- (+ eps (PI)) (* -1 x))) (cos (- (+ eps (PI)) (* -1 x))))
(/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x))))
(- (/ (sin (- (+ eps (PI)) (* -1 x))) (cos (- (+ eps (PI)) (* -1 x)))) (/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x)))))
(* -1 (* x (- (* -1 (/ (+ eps (PI)) x)) 1)))
(/ (* (sin x) (* (sin (- eps (* -1 x))) (- (/ (cos x) (sin x)) (/ (cos (- eps (* -1 x))) (sin (- eps (* -1 x))))))) (* (cos x) (cos (- eps (* -1 x)))))
(/ (cos (- eps (* -1 x))) (sin (- eps (* -1 x))))
(/ (* (cos x) (cos (- eps (* -1 x)))) (* (sin x) (sin (- eps (* -1 x)))))
(- (/ (cos x) (sin x)) (/ (cos (- eps (* -1 x))) (sin (- eps (* -1 x)))))
(- (/ (sin x) (cos x)) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))) (cos (+ x (PI))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (pow (cos (+ x (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (* 1/6 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))))) (* -1 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI)))))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(* eps (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))
(* eps (- (+ 1 (/ (* eps (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))) (cos (+ x (PI))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))
(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (pow (cos (+ x (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (* 1/6 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))))) (* -1 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI)))))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI))))) (+ (* 1/6 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI))))) (/ (* (sin (+ x (PI))) (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (pow (cos (+ x (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (* 1/6 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))))) (cos (+ x (PI)))))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (pow (cos (+ x (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (* 1/6 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))))) (* -1 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI)))))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))
(+ x (PI))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* eps (- (+ 1 (* eps (+ (/ (* eps (* (sin x) (+ (* (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+ (/ (* (cos x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (sin x)) (/ (* (sin x) (+ (* -1 (/ (* (cos x) (* (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin x))) (+ (* -1 (/ (* (pow (cos x) 2) (+ 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))))))) (pow (sin x) 2))) (* -1 (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2)))))) (cos x)))))) (cos x)) (/ (* (sin x) (+ (/ (* (sin x) (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x)))) (cos x)) (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2)))) (cos x))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(+ (* -1 (/ (* eps (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow (sin x) 2))) (/ (cos x) (sin x)))
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(/ (pow (cos x) 2) (pow (sin x) 2))
(+ (* -1 (/ (* eps (* (pow (cos x) 3) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow (sin x) 3))) (/ (pow (cos x) 2) (pow (sin x) 2)))
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(+ (* -1 (/ (sin x) (cos x))) (/ (sin x) (cos x)))
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(+ (* -1 (/ (sin x) (cos x))) (+ (/ (sin x) (cos x)) (/ (* eps (pow (sin x) 2)) (pow (cos x) 2))))
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(+ (* -1 (/ (sin x) (cos x))) (+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))))
(* eps (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
(/ (pow (sin x) 2) (cos x))
(+ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (pow (sin x) 2) (cos x)))
(/ (* eps (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow (sin x) 2))
(* eps (+ (* eps (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x)))) (/ (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 2))))
(* eps (+ (* eps (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (+ (* eps (+ (* -1 (/ (* (cos x) (* (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin x))) (+ (* -1 (/ (* (pow (cos x) 2) (+ 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))))))) (pow (sin x) 2))) (* -1 (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2)))))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))))) (/ (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 2))))
(* eps (+ (* eps (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (+ (* eps (+ (* -1 (/ (* (cos x) (* (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin x))) (+ (* -1 (/ (* (pow (cos x) 2) (+ 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))))))) (pow (sin x) 2))) (+ (* -1 (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2))) (* eps (+ (* -1 (* (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (* -1 (/ (* (cos x) (* (+ (* -1 (/ (* (cos x) (* (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin x))) (+ (* -1 (/ (* (pow (cos x) 2) (+ 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))))))) (pow (sin x) 2))) (* -1 (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2))))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin x))) (+ (* -1 (/ (* (pow (cos x) 2) (+ (* -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))))) (pow (sin x) 2))) (/ (* (pow (cos x) 3) (* (+ 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 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow (sin x) 3)))))))))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))))) (/ (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 2))))
(/ (* eps (sin x)) (cos x))
(* eps (+ (* 1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x))))
(* eps (+ (* (pow eps 2) (+ (* 2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x))))
(* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 17/315 (/ (* (pow eps 2) (sin x)) (cos x))) (* 2/15 (/ (sin x) (cos x))))))) (/ (sin x) (cos x))))
eps
(* eps (+ 1 (/ (* eps (sin x)) (cos x))))
(* eps (+ 1 (* eps (- (* eps (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (sin x) (cos x)))))))
(* eps (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* -1/3 (/ (sin x) (cos x))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (sin x) (cos x)))))))
(* -1 (/ (* eps (+ (* -1 (/ (* (pow (sin x) 3) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -2/3 (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))
(* eps (- (+ (* -1 (/ (+ (* -1 (/ (* (pow (sin x) 3) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -2/3 (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* 1/3 (/ 1 eps))) (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2)))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))))
(* eps (+ 1 (+ (/ x eps) (/ (PI) eps))))
(* -1 (/ (* (pow eps 2) (+ (* -1 (/ (* (pow (sin x) 3) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -2/3 (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))
(* (pow eps 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow (sin x) 3) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -2/3 (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* 1/3 (/ 1 eps))) (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2)))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))))
(* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (pow (sin x) 2) (* eps (cos x)))))
(* -1 (* eps (+ (* -1 (/ (* (pow (sin x) 3) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 3))) (* -2/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))))
(* -1 (* eps (+ (* -1 (/ (* (pow (sin x) 3) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 3))) (+ (* -1 (/ (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) eps)) (* -2/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(/ (sin (- (+ x (PI)) (* -1 eps))) (cos (- (+ x (PI)) (* -1 eps))))
(- (/ (sin (- (+ x (PI)) (* -1 eps))) (cos (- (+ x (PI)) (* -1 eps)))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(* -1 (* eps (- (* -1 (/ (+ x (PI)) eps)) 1)))
(/ (* (sin x) (* (sin (- x (* -1 eps))) (- (/ (cos x) (sin x)) (/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))))) (* (cos x) (cos (- x (* -1 eps)))))
(/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))
(/ (* (cos x) (cos (- x (* -1 eps)))) (* (sin x) (sin (- x (* -1 eps)))))
(* -1 (* (pow eps 2) (+ (* -1 (/ (* (pow (sin x) 3) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 3))) (* -2/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))))
(* (pow eps 2) (- (+ (* -1 (+ (* -1 (/ (* (pow (sin x) 3) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 3))) (* -2/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))) (* 1/3 (/ 1 eps))) (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2)))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))))
(* -1 (* eps (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))))
(* -1 (* eps (+ (* -1 (/ (pow (sin x) 2) (* eps (cos x)))) (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))))
(- (/ (cos x) (sin x)) (/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps)))))

Calls

6 calls:

Time	Variable		Point	Expression
30.0ms	x	@	inf	((+ (* (* (sin x) (neg (pow (tan x) 2))) (+ (* (tan x) (tan x)) 1)) (+ (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)) (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)))) (+ (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)) (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3))) (+ (* (neg (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (/ (+ (* (* (sin x) (neg (pow (tan x) 2))) (+ (* (tan x) (tan x)) 1)) (+ (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)) (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)))) (cos x)) (neg eps)) (- -1/6 (+ (* 1/6 (pow (tan x) 2)) (+ (* (neg (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (+ (* (pow (tan x) 2) -1/2) -1/2))))) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ (+ (PI) x) eps)) (tan (+ (PI) x)) (- (tan (+ (+ (PI) x) eps)) (tan (+ (PI) x))) (+ (+ (PI) x) eps) (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1)) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x)))) (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x))) (+ (+ (* -1 (tan x)) (/ (tan x) (- 1 (* (tan eps) (tan x))))) (/ (tan eps) (- 1 (* (tan eps) (tan x))))) (+ (* -1 (tan x)) (/ (tan x) (- 1 (* (tan eps) (tan x))))) (tan x) (/ (sin x) (cos x)) (- -1/6 (+ (* 1/6 (pow (tan x) 2)) (+ (* (neg (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (+ (* (pow (tan x) 2) -1/2) -1/2)))) (* (sin x) -1/3) (* (+ (* (/ (+ (* (* (sin x) (neg (pow (tan x) 2))) (+ (* (tan x) (tan x)) 1)) (+ (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)) (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)))) (cos x)) (neg eps)) (- -1/6 (+ (* 1/6 (pow (tan x) 2)) (+ (* (neg (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (+ (* (pow (tan x) 2) -1/2) -1/2))))) eps) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1)) (/ 1 (tan (+ eps x))) (* (tan eps) (tan x)) (/ (tan eps) (- 1 (* (tan eps) (tan x)))))
15.0ms	eps	@	0	((+ (* (* (sin x) (neg (pow (tan x) 2))) (+ (* (tan x) (tan x)) 1)) (+ (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)) (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)))) (+ (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)) (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3))) (+ (* (neg (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (/ (+ (* (* (sin x) (neg (pow (tan x) 2))) (+ (* (tan x) (tan x)) 1)) (+ (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)) (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)))) (cos x)) (neg eps)) (- -1/6 (+ (* 1/6 (pow (tan x) 2)) (+ (* (neg (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (+ (* (pow (tan x) 2) -1/2) -1/2))))) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ (+ (PI) x) eps)) (tan (+ (PI) x)) (- (tan (+ (+ (PI) x) eps)) (tan (+ (PI) x))) (+ (+ (PI) x) eps) (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1)) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x)))) (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x))) (+ (+ (* -1 (tan x)) (/ (tan x) (- 1 (* (tan eps) (tan x))))) (/ (tan eps) (- 1 (* (tan eps) (tan x))))) (+ (* -1 (tan x)) (/ (tan x) (- 1 (* (tan eps) (tan x))))) (tan x) (/ (sin x) (cos x)) (- -1/6 (+ (* 1/6 (pow (tan x) 2)) (+ (* (neg (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (+ (* (pow (tan x) 2) -1/2) -1/2)))) (* (sin x) -1/3) (* (+ (* (/ (+ (* (* (sin x) (neg (pow (tan x) 2))) (+ (* (tan x) (tan x)) 1)) (+ (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)) (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)))) (cos x)) (neg eps)) (- -1/6 (+ (* 1/6 (pow (tan x) 2)) (+ (* (neg (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (+ (* (pow (tan x) 2) -1/2) -1/2))))) eps) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1)) (/ 1 (tan (+ eps x))) (* (tan eps) (tan x)) (/ (tan eps) (- 1 (* (tan eps) (tan x)))))
13.0ms	eps	@	inf	((+ (* (* (sin x) (neg (pow (tan x) 2))) (+ (* (tan x) (tan x)) 1)) (+ (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)) (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)))) (+ (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)) (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3))) (+ (* (neg (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (/ (+ (* (* (sin x) (neg (pow (tan x) 2))) (+ (* (tan x) (tan x)) 1)) (+ (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)) (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)))) (cos x)) (neg eps)) (- -1/6 (+ (* 1/6 (pow (tan x) 2)) (+ (* (neg (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (+ (* (pow (tan x) 2) -1/2) -1/2))))) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ (+ (PI) x) eps)) (tan (+ (PI) x)) (- (tan (+ (+ (PI) x) eps)) (tan (+ (PI) x))) (+ (+ (PI) x) eps) (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1)) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x)))) (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x))) (+ (+ (* -1 (tan x)) (/ (tan x) (- 1 (* (tan eps) (tan x))))) (/ (tan eps) (- 1 (* (tan eps) (tan x))))) (+ (* -1 (tan x)) (/ (tan x) (- 1 (* (tan eps) (tan x))))) (tan x) (/ (sin x) (cos x)) (- -1/6 (+ (* 1/6 (pow (tan x) 2)) (+ (* (neg (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (+ (* (pow (tan x) 2) -1/2) -1/2)))) (* (sin x) -1/3) (* (+ (* (/ (+ (* (* (sin x) (neg (pow (tan x) 2))) (+ (* (tan x) (tan x)) 1)) (+ (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)) (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)))) (cos x)) (neg eps)) (- -1/6 (+ (* 1/6 (pow (tan x) 2)) (+ (* (neg (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (+ (* (pow (tan x) 2) -1/2) -1/2))))) eps) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1)) (/ 1 (tan (+ eps x))) (* (tan eps) (tan x)) (/ (tan eps) (- 1 (* (tan eps) (tan x)))))
12.0ms	x	@	-inf	((+ (* (* (sin x) (neg (pow (tan x) 2))) (+ (* (tan x) (tan x)) 1)) (+ (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)) (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)))) (+ (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)) (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3))) (+ (* (neg (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (/ (+ (* (* (sin x) (neg (pow (tan x) 2))) (+ (* (tan x) (tan x)) 1)) (+ (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)) (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)))) (cos x)) (neg eps)) (- -1/6 (+ (* 1/6 (pow (tan x) 2)) (+ (* (neg (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (+ (* (pow (tan x) 2) -1/2) -1/2))))) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ (+ (PI) x) eps)) (tan (+ (PI) x)) (- (tan (+ (+ (PI) x) eps)) (tan (+ (PI) x))) (+ (+ (PI) x) eps) (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1)) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x)))) (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x))) (+ (+ (* -1 (tan x)) (/ (tan x) (- 1 (* (tan eps) (tan x))))) (/ (tan eps) (- 1 (* (tan eps) (tan x))))) (+ (* -1 (tan x)) (/ (tan x) (- 1 (* (tan eps) (tan x))))) (tan x) (/ (sin x) (cos x)) (- -1/6 (+ (* 1/6 (pow (tan x) 2)) (+ (* (neg (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (+ (* (pow (tan x) 2) -1/2) -1/2)))) (* (sin x) -1/3) (* (+ (* (/ (+ (* (* (sin x) (neg (pow (tan x) 2))) (+ (* (tan x) (tan x)) 1)) (+ (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)) (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)))) (cos x)) (neg eps)) (- -1/6 (+ (* 1/6 (pow (tan x) 2)) (+ (* (neg (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (+ (* (pow (tan x) 2) -1/2) -1/2))))) eps) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1)) (/ 1 (tan (+ eps x))) (* (tan eps) (tan x)) (/ (tan eps) (- 1 (* (tan eps) (tan x)))))
10.0ms	eps	@	-inf	((+ (* (* (sin x) (neg (pow (tan x) 2))) (+ (* (tan x) (tan x)) 1)) (+ (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)) (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)))) (+ (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)) (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3))) (+ (* (neg (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (/ (+ (* (* (sin x) (neg (pow (tan x) 2))) (+ (* (tan x) (tan x)) 1)) (+ (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)) (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)))) (cos x)) (neg eps)) (- -1/6 (+ (* 1/6 (pow (tan x) 2)) (+ (* (neg (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (+ (* (pow (tan x) 2) -1/2) -1/2))))) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ (+ (PI) x) eps)) (tan (+ (PI) x)) (- (tan (+ (+ (PI) x) eps)) (tan (+ (PI) x))) (+ (+ (PI) x) eps) (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1)) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x)))) (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x))) (+ (+ (* -1 (tan x)) (/ (tan x) (- 1 (* (tan eps) (tan x))))) (/ (tan eps) (- 1 (* (tan eps) (tan x))))) (+ (* -1 (tan x)) (/ (tan x) (- 1 (* (tan eps) (tan x))))) (tan x) (/ (sin x) (cos x)) (- -1/6 (+ (* 1/6 (pow (tan x) 2)) (+ (* (neg (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (+ (* (pow (tan x) 2) -1/2) -1/2)))) (* (sin x) -1/3) (* (+ (* (/ (+ (* (* (sin x) (neg (pow (tan x) 2))) (+ (* (tan x) (tan x)) 1)) (+ (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)) (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)))) (cos x)) (neg eps)) (- -1/6 (+ (* 1/6 (pow (tan x) 2)) (+ (* (neg (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (+ (* (pow (tan x) 2) -1/2) -1/2))))) eps) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1)) (/ 1 (tan (+ eps x))) (* (tan eps) (tan x)) (/ (tan eps) (- 1 (* (tan eps) (tan x)))))

simplify191.0ms (1.2%)

Memory

21.5MiB live, 173.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1039	8830
1	3694	8049
0	9852	7790

Stop Event

1×	iter limit
1×	node limit

Counts

181 → 179

Calls

Call 1

Inputs
(* -2/3 x)
(* x (- (* -14/9 (pow x 2)) 2/3))
(* x (- (* (pow x 2) (- (* -331/180 (pow x 2)) 14/9)) 2/3))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -3071/1890 (pow x 2)) 331/180)) 14/9)) 2/3))
(* x (- (* -5/9 (pow x 2)) 2/3))
(* x (- (* (pow x 2) (- (* -61/180 (pow x 2)) 5/9)) 2/3))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -277/1512 (pow x 2)) 61/180)) 5/9)) 2/3))
-1/2
(- (* -3/2 (pow x 2)) 1/2)
(- (* (pow x 2) (- (* -2 (pow x 2)) 3/2)) 1/2)
(- (* (pow x 2) (- (* (pow x 2) (- (* -19/10 (pow x 2)) 2)) 3/2)) 1/2)
1/3
(+ 1/3 (* 2/3 (* eps x)))
(+ 1/3 (* x (+ (* 2/3 eps) (* 4/3 x))))
(+ 1/3 (* x (+ (* 2/3 eps) (* x (+ 4/3 (* -1 (* x (- (* -14/9 eps) (* 1/3 eps)))))))))
(- (/ (sin eps) (cos eps)) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (+ (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* x (- (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(/ (sin (+ eps (PI))) (cos (+ eps (PI))))
(+ (* x (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))
(+ (* x (- (+ 1 (/ (* x (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))) (cos (+ eps (PI))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ eps (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (pow (cos (+ eps (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (* 1/6 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))))) (* -1 (/ (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (cos (+ eps (PI)))))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))
(/ (sin (PI)) (cos (PI)))
(+ (* x (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(+ (* x (- (+ 1 (/ (* x (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))))) (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI))))))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(- (/ (sin (+ eps (PI))) (cos (+ eps (PI)))) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI))))) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* -1 (/ (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (cos (+ eps (PI)))))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI))))) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (+ (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* x (- (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (+ (* -1 (/ (* (pow (sin (+ eps (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (pow (cos (+ eps (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (* 1/6 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))))) (* -1 (/ (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (cos (+ eps (PI)))))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI))))) (/ (sin (PI)) (cos (PI))))
(+ eps (PI))
(+ eps (+ x (PI)))
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (+ (* x (+ (* -1 (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))) (+ (* 1/3 (/ (sin eps) (cos eps))) (+ (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)) (/ (* (sin eps) (- (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2)) 1/3)) (cos eps)))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
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x
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(/ (+ 1 (* -1 (/ (* x (cos eps)) (sin eps)))) x)
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(* eps (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))
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(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (pow (cos (+ x (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (* 1/6 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))))) (* -1 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI)))))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI))))) (+ (* 1/6 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI))))) (/ (* (sin (+ x (PI))) (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (pow (cos (+ x (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (* 1/6 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))))) (cos (+ x (PI)))))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (pow (cos (+ x (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (* 1/6 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))))) (* -1 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI)))))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))
(+ x (PI))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(+ (* -1 (/ (* eps (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow (sin x) 2))) (/ (cos x) (sin x)))
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(/ (pow (cos x) 2) (pow (sin x) 2))
(+ (* -1 (/ (* eps (* (pow (cos x) 3) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow (sin x) 3))) (/ (pow (cos x) 2) (pow (sin x) 2)))
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(+ (* -1 (/ (sin x) (cos x))) (/ (sin x) (cos x)))
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(+ (* -1 (/ (sin x) (cos x))) (+ (/ (sin x) (cos x)) (/ (* eps (pow (sin x) 2)) (pow (cos x) 2))))
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(+ (* -1 (/ (sin x) (cos x))) (+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))))
(* eps (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
(/ (pow (sin x) 2) (cos x))
(+ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (pow (sin x) 2) (cos x)))
(/ (* eps (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow (sin x) 2))
(* eps (+ (* eps (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x)))) (/ (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 2))))
(* eps (+ (* eps (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (+ (* eps (+ (* -1 (/ (* (cos x) (* (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin x))) (+ (* -1 (/ (* (pow (cos x) 2) (+ 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))))))) (pow (sin x) 2))) (* -1 (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2)))))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))))) (/ (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 2))))
(* eps (+ (* eps (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (+ (* eps (+ (* -1 (/ (* (cos x) (* (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin x))) (+ (* -1 (/ (* (pow (cos x) 2) (+ 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))))))) (pow (sin x) 2))) (+ (* -1 (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2))) (* eps (+ (* -1 (* (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (* -1 (/ (* (cos x) (* (+ (* -1 (/ (* (cos x) (* (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin x))) (+ (* -1 (/ (* (pow (cos x) 2) (+ 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))))))) (pow (sin x) 2))) (* -1 (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2))))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin x))) (+ (* -1 (/ (* (pow (cos x) 2) (+ (* -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))))) (pow (sin x) 2))) (/ (* (pow (cos x) 3) (* (+ 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 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow (sin x) 3)))))))))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))))) (/ (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 2))))
(/ (* eps (sin x)) (cos x))
(* eps (+ (* 1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x))))
(* eps (+ (* (pow eps 2) (+ (* 2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x))))
(* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 17/315 (/ (* (pow eps 2) (sin x)) (cos x))) (* 2/15 (/ (sin x) (cos x))))))) (/ (sin x) (cos x))))
eps
(* eps (+ 1 (/ (* eps (sin x)) (cos x))))
(* eps (+ 1 (* eps (- (* eps (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (sin x) (cos x)))))))
(* eps (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* -1/3 (/ (sin x) (cos x))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (sin x) (cos x)))))))
(* -1 (/ (* eps (+ (* -1 (/ (* (pow (sin x) 3) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -2/3 (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))
(* eps (- (+ (* -1 (/ (+ (* -1 (/ (* (pow (sin x) 3) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -2/3 (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* 1/3 (/ 1 eps))) (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2)))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))))
(* eps (+ 1 (+ (/ x eps) (/ (PI) eps))))
(* -1 (/ (* (pow eps 2) (+ (* -1 (/ (* (pow (sin x) 3) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -2/3 (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))
(* (pow eps 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow (sin x) 3) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -2/3 (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* 1/3 (/ 1 eps))) (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2)))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))))
(* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (pow (sin x) 2) (* eps (cos x)))))
(* -1 (* eps (+ (* -1 (/ (* (pow (sin x) 3) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 3))) (* -2/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))))
(* -1 (* eps (+ (* -1 (/ (* (pow (sin x) 3) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 3))) (+ (* -1 (/ (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) eps)) (* -2/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(/ (sin (- (+ x (PI)) (* -1 eps))) (cos (- (+ x (PI)) (* -1 eps))))
(- (/ (sin (- (+ x (PI)) (* -1 eps))) (cos (- (+ x (PI)) (* -1 eps)))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(* -1 (* eps (- (* -1 (/ (+ x (PI)) eps)) 1)))
(/ (* (sin x) (* (sin (- x (* -1 eps))) (- (/ (cos x) (sin x)) (/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))))) (* (cos x) (cos (- x (* -1 eps)))))
(/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))
(/ (* (cos x) (cos (- x (* -1 eps)))) (* (sin x) (sin (- x (* -1 eps)))))
(* -1 (* (pow eps 2) (+ (* -1 (/ (* (pow (sin x) 3) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 3))) (* -2/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))))
(* (pow eps 2) (- (+ (* -1 (+ (* -1 (/ (* (pow (sin x) 3) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 3))) (* -2/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))) (* 1/3 (/ 1 eps))) (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2)))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))))
(* -1 (* eps (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))))
(* -1 (* eps (+ (* -1 (/ (pow (sin x) 2) (* eps (cos x)))) (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))))
(- (/ (cos x) (sin x)) (/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps)))))

Outputs
(* -2/3 x)
(*.f64 #s(literal -2/3 binary64) x)
(* x (- (* -14/9 (pow x 2)) 2/3))
(.f64 (fma.f64 (.f64 x x) #s(literal -14/9 binary64) #s(literal -2/3 binary64)) x)
(* x (- (* (pow x 2) (- (* -331/180 (pow x 2)) 14/9)) 2/3))
(.f64 (fma.f64 (fma.f64 #s(literal -331/180 binary64) (.f64 x x) #s(literal -14/9 binary64)) (*.f64 x x) #s(literal -2/3 binary64)) x)
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -3071/1890 (pow x 2)) 331/180)) 14/9)) 2/3))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -3071/1890 binary64) (.f64 x x) #s(literal -331/180 binary64)) (.f64 x x) #s(literal -14/9 binary64)) (.f64 x x) #s(literal -2/3 binary64)) x)
(* x (- (* -5/9 (pow x 2)) 2/3))
(.f64 (fma.f64 #s(literal -5/9 binary64) (.f64 x x) #s(literal -2/3 binary64)) x)
(* x (- (* (pow x 2) (- (* -61/180 (pow x 2)) 5/9)) 2/3))
(.f64 (fma.f64 (fma.f64 #s(literal -61/180 binary64) (.f64 x x) #s(literal -5/9 binary64)) (*.f64 x x) #s(literal -2/3 binary64)) x)
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -277/1512 (pow x 2)) 61/180)) 5/9)) 2/3))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -277/1512 binary64) (.f64 x x) #s(literal -61/180 binary64)) (.f64 x x) #s(literal -5/9 binary64)) (.f64 x x) #s(literal -2/3 binary64)) x)
-1/2
#s(literal -1/2 binary64)
(- (* -3/2 (pow x 2)) 1/2)
(fma.f64 #s(literal -3/2 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* (pow x 2) (- (* -2 (pow x 2)) 3/2)) 1/2)
(fma.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -3/2 binary64)) (.f64 x x) #s(literal -1/2 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -19/10 (pow x 2)) 2)) 3/2)) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal -19/10 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal -3/2 binary64)) (*.f64 x x) #s(literal -1/2 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 2/3 (* eps x)))
(fma.f64 (*.f64 #s(literal 2/3 binary64) eps) x #s(literal 1/3 binary64))
(+ 1/3 (* x (+ (* 2/3 eps) (* 4/3 x))))
(fma.f64 (fma.f64 #s(literal 4/3 binary64) x (*.f64 #s(literal 2/3 binary64) eps)) x #s(literal 1/3 binary64))
(+ 1/3 (* x (+ (* 2/3 eps) (* x (+ 4/3 (* -1 (* x (- (* -14/9 eps) (* 1/3 eps)))))))))
(fma.f64 (fma.f64 (-.f64 #s(literal 4/3 binary64) (.f64 (.f64 eps #s(literal -17/9 binary64)) x)) x (*.f64 #s(literal 2/3 binary64) eps)) x #s(literal 1/3 binary64))
(- (/ (sin eps) (cos eps)) (/ (sin (PI)) (cos (PI))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(- (+ (* x (- (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(fma.f64 (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps)) (cos.f64 eps)) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (+ (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* x (- (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) x (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps)) (cos.f64 eps))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/ (sin (+ eps (PI))) (cos (+ eps (PI))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+ (* x (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (+ 1 (/ (* x (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))) (cos (+ eps (PI))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))
(fma.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps)) (cos.f64 eps)) x #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ eps (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (pow (cos (+ eps (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (* 1/6 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))))) (* -1 (/ (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (cos (+ eps (PI)))))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))
(fma.f64 (+.f64 (fma.f64 (fma.f64 (neg.f64 x) (+.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) #s(literal 1/6 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps)) (cos.f64 eps))) x #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/ (sin (PI)) (cos (PI)))
#s(literal 0 binary64)
(+ (* x (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
x
(+ (* x (- (+ 1 (/ (* x (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
x
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))))) (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI))))))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x)
(- (/ (sin (+ eps (PI))) (cos (+ eps (PI)))) (/ (sin (PI)) (cos (PI))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(- (+ (* x (- (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI))))) (/ (sin (PI)) (cos (PI))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* -1 (/ (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (cos (+ eps (PI)))))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI))))) (/ (sin (PI)) (cos (PI))))
(fma.f64 (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps)) (cos.f64 eps)) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (+ (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* x (- (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (+ (* -1 (/ (* (pow (sin (+ eps (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (pow (cos (+ eps (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (* 1/6 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))))) (* -1 (/ (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (cos (+ eps (PI)))))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI))))) (/ (sin (PI)) (cos (PI))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) x (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps)) (cos.f64 eps))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ eps (PI))
(+.f64 (PI.f64) eps)
(+ eps (+ x (PI)))
(+.f64 (+.f64 (PI.f64) x) eps)
(/ (sin eps) (cos eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (+ (* x (+ (* -1 (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))) (+ (* 1/3 (/ (sin eps) (cos eps))) (+ (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)) (/ (* (sin eps) (- (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2)) 1/3)) (cos eps)))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
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(.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 (sin.f64 x) (*.f64 eps eps)) (sin.f64 x)) (cos.f64 x)) eps)
(* eps (+ (* (pow eps 2) (+ (* 2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x))))
(.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 (sin.f64 x) (.f64 eps eps)) (.f64 #s(literal 1/3 binary64) (sin.f64 x))) (cos.f64 x)) (*.f64 eps eps) (/.f64 (sin.f64 x) (cos.f64 x))) eps)
(* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 17/315 (/ (* (pow eps 2) (sin x)) (cos x))) (* 2/15 (/ (sin x) (cos x))))))) (/ (sin x) (cos x))))
(.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 (sin.f64 x) (.f64 eps eps)) (.f64 #s(literal 2/15 binary64) (sin.f64 x))) (cos.f64 x)) (.f64 eps eps) (/.f64 (.f64 #s(literal 1/3 binary64) (sin.f64 x)) (cos.f64 x))) (*.f64 eps eps) (/.f64 (sin.f64 x) (cos.f64 x))) eps)
eps
(* eps (+ 1 (/ (* eps (sin x)) (cos x))))
(fma.f64 eps (/.f64 (*.f64 (sin.f64 x) eps) (cos.f64 x)) eps)
(* eps (+ 1 (* eps (- (* eps (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (sin x) (cos x)))))))
(fma.f64 eps (*.f64 (fma.f64 (+.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)))) eps (/.f64 (sin.f64 x) (cos.f64 x))) eps) eps)
(* eps (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* -1/3 (/ (sin x) (cos x))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (sin x) (cos x)))))))
(.f64 (fma.f64 (fma.f64 (+.f64 (fma.f64 (neg.f64 eps) (/.f64 (fma.f64 (sin.f64 x) #s(literal -1/3 binary64) (neg.f64 (.f64 (+.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)))) (sin.f64 x)))) (cos.f64 x)) #s(literal 1/3 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps (/.f64 (sin.f64 x) (cos.f64 x))) eps #s(literal 1 binary64)) eps)
(* -1 (/ (* eps (+ (* -1 (/ (* (pow (sin x) 3) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -2/3 (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))
(.f64 (neg.f64 eps) (/.f64 (fma.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 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)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 (fma.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) #s(literal -2/3 binary64))) (cos.f64 x)))
(* eps (- (+ (* -1 (/ (+ (* -1 (/ (* (pow (sin x) 3) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -2/3 (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* 1/3 (/ 1 eps))) (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2)))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) eps) (/.f64 (fma.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 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)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 (fma.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) #s(literal -2/3 binary64))) (cos.f64 x))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) 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)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64)))) eps)
(* eps (+ 1 (+ (/ x eps) (/ (PI) eps))))
(fma.f64 eps (/.f64 (+.f64 (PI.f64) x) eps) eps)
(* -1 (/ (* (pow eps 2) (+ (* -1 (/ (* (pow (sin x) 3) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -2/3 (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))
(.f64 (.f64 (neg.f64 eps) eps) (/.f64 (fma.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 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)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (fma.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) #s(literal -2/3 binary64))) (cos.f64 x)))
(* (pow eps 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow (sin x) 3) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -2/3 (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* 1/3 (/ 1 eps))) (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2)))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) eps) (/.f64 (fma.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 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)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 (fma.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) #s(literal -2/3 binary64))) (cos.f64 x))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) 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)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64)))) (.f64 eps eps))
(* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(*.f64 (fma.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) eps)
(* eps (+ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (pow (sin x) 2) (* eps (cos x)))))
(*.f64 (fma.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 x) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) (cos.f64 x))) eps)
(* -1 (* eps (+ (* -1 (/ (* (pow (sin x) 3) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 3))) (* -2/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))))
(.f64 (neg.f64 eps) (fma.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 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)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (.f64 (/.f64 (fma.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x)) #s(literal -2/3 binary64))))
(* -1 (* eps (+ (* -1 (/ (* (pow (sin x) 3) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 3))) (+ (* -1 (/ (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) eps)) (* -2/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))))))
(.f64 (neg.f64 eps) (fma.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 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)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x)) #s(literal -2/3 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 eps)))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/ (sin (- (+ x (PI)) (* -1 eps))) (cos (- (+ x (PI)) (* -1 eps))))
(/.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (neg.f64 (cos.f64 (+.f64 eps x))))
(- (/ (sin (- (+ x (PI)) (* -1 eps))) (cos (- (+ x (PI)) (* -1 eps)))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(-.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (neg.f64 (cos.f64 (+.f64 eps x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(* -1 (* eps (- (* -1 (/ (+ x (PI)) eps)) 1)))
(fma.f64 (neg.f64 eps) (/.f64 (+.f64 (PI.f64) x) (neg.f64 eps)) eps)
(/ (* (sin x) (* (sin (- x (* -1 eps))) (- (/ (cos x) (sin x)) (/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))))) (* (cos x) (cos (- x (* -1 eps)))))
(/.f64 (.f64 (.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x))))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))
(/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x)))
(/ (* (cos x) (cos (- x (* -1 eps)))) (* (sin x) (sin (- x (* -1 eps)))))
(*.f64 (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 (+.f64 eps x))))
(* -1 (* (pow eps 2) (+ (* -1 (/ (* (pow (sin x) 3) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 3))) (* -2/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))))
(.f64 (.f64 (neg.f64 eps) eps) (fma.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 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)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (/.f64 (fma.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x)) #s(literal -2/3 binary64))))
(* (pow eps 2) (- (+ (* -1 (+ (* -1 (/ (* (pow (sin x) 3) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 3))) (* -2/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))) (* 1/3 (/ 1 eps))) (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2)))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) eps) (fma.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 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)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (.f64 (/.f64 (fma.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x)) #s(literal -2/3 binary64)))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) 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)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64)))) (.f64 eps eps))
(* -1 (* eps (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))))
(.f64 (.f64 eps (neg.f64 (sin.f64 x))) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal -1 binary64)))
(* -1 (* eps (+ (* -1 (/ (pow (sin x) 2) (* eps (cos x)))) (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))))
(*.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal -1 binary64)) (sin.f64 x) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) (neg.f64 (cos.f64 x)))) (neg.f64 eps))
(- (/ (cos x) (sin x)) (/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps)))))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x))))

rewrite241.0ms (1.5%)

Memory

-3.4MiB live, 191.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	462
0	124	388
1	651	298
2	6613	298
0	8364	295

Stop Event

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

Counts

25 → 869

Calls

Call 1

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

Outputs
(.f64 (-.f64 (pow.f64 (.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (sin.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (sin.f64 x) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(.f64 (+.f64 (pow.f64 (.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (sin.f64 x)) #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (sin.f64 x))) (pow.f64 (.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (sin.f64 x)) #s(literal 2 binary64)))))
(.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (neg.f64 (sin.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (.f64 (sin.f64 x) #s(literal -2/3 binary64))))
(.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (sin.f64 x) #s(literal -2/3 binary64) (.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x))))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (neg.f64 (sin.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (.f64 #s(literal -1/3 binary64) (sin.f64 x)))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (neg.f64 (sin.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (.f64 #s(literal -1/3 binary64) (sin.f64 x))))) (pow.f64 (.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64)) (sin.f64 x)) #s(literal 2 binary64))) (-.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (neg.f64 (sin.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (.f64 #s(literal -1/3 binary64) (sin.f64 x)))) (.f64 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64)) (sin.f64 x))))
(/.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 (.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (sin.f64 x)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (neg.f64 (sin.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (.f64 #s(literal -1/3 binary64) (sin.f64 x)))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64)) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (neg.f64 (sin.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (.f64 #s(literal -1/3 binary64) (sin.f64 x)))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (neg.f64 (sin.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (.f64 #s(literal -1/3 binary64) (sin.f64 x)))) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64)) (sin.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (neg.f64 (sin.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (.f64 #s(literal -1/3 binary64) (sin.f64 x)))) (.f64 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64)) (sin.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (sin.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (neg.f64 (fma.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (sin.f64 x) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (sin.f64 x)) #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (sin.f64 x))) (pow.f64 (*.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (sin.f64 x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (sin.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (sin.f64 x) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (sin.f64 x)) #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (-.f64 (pow.f64 (.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (sin.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (sin.f64 x)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (sin.f64 x)) #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (sin.f64 x))) (pow.f64 (*.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (sin.f64 x)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (sin.f64 x) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (-.f64 (pow.f64 (*.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (sin.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (sin.f64 x))) (pow.f64 (.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (sin.f64 x)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (sin.f64 x)) #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (sin.f64 x))) #s(literal -1/3 binary64) (*.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (sin.f64 x)))
(fma.f64 (.f64 (.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (neg.f64 (tan.f64 x))) (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (.f64 (.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (fabs.f64 (tan.f64 x))) (fabs.f64 (tan.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (.f64 (.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (tan.f64 x)) (tan.f64 x) (fma.f64 (neg.f64 (sin.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64)) (sin.f64 x) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (neg.f64 (sin.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal -1/3 binary64) (sin.f64 x)))))
(fma.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 #s(literal -1/3 binary64) (sin.f64 x))) (.f64 #s(literal 2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (sin.f64 x)))
(fma.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (.f64 (sin.f64 x) #s(literal -2/3 binary64)) (*.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (sin.f64 x)))
(fma.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64)) (sin.f64 x)) (.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (sin.f64 x)))
(fma.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (sin.f64 x)))
(fma.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (.f64 (.f64 (sin.f64 x) #s(literal -2/3 binary64)) (.f64 (sin.f64 x) #s(literal -2/3 binary64))) (*.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (sin.f64 x)))
(fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) (sin.f64 x)) (.f64 #s(literal -1/3 binary64) (sin.f64 x))) (.f64 (.f64 #s(literal 2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))) (*.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (sin.f64 x)))
(fma.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (sin.f64 x)))
(fma.f64 #s(literal 4 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64)) (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (sin.f64 x)))
(fma.f64 (pow.f64 (.f64 #s(literal -1/3 binary64) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (*.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (sin.f64 x)))
(fma.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) #s(literal -2/3 binary64)) #s(literal 3 binary64)) (.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (sin.f64 x)))
(fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64)) (sin.f64 x)) #s(literal 3 binary64)) (*.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (sin.f64 x)))
(fma.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (sin.f64 x)) #s(literal -2/3 binary64) (.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (sin.f64 x)))
(fma.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (sin.f64 x)) #s(literal -1/3 binary64) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (neg.f64 (sin.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal -1/3 binary64) (sin.f64 x)))))
(fma.f64 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (sin.f64 x)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (.f64 #s(literal 2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (.f64 #s(literal -1/3 binary64) (sin.f64 x)) (*.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (sin.f64 x)))
(fma.f64 (.f64 (sin.f64 x) #s(literal -2/3 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (sin.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (sin.f64 x) (fma.f64 (neg.f64 (sin.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (neg.f64 (sin.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64)) (sin.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64)) (sin.f64 x)) #s(literal 2 binary64)) #s(literal 0 binary64))) (.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (sin.f64 x)))
(fma.f64 (neg.f64 (tan.f64 x)) (.f64 (neg.f64 (tan.f64 x)) (.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (fabs.f64 (tan.f64 x)) (.f64 (fabs.f64 (tan.f64 x)) (.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (*.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (sin.f64 x)))
(fma.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (sin.f64 x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
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(/.f64 (.f64 (sin.f64 eps) #s(literal 1 binary64)) (.f64 (cos.f64 eps) (pow.f64 (tan.f64 x) #s(literal -1 binary64))))
(/.f64 (*.f64 (tan.f64 eps) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (tan.f64 eps)) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))
(/.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (.f64 (neg.f64 (cos.f64 x)) (cos.f64 eps)))
(/.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (.f64 (cos.f64 eps) (neg.f64 (cos.f64 x))))
(/.f64 (tan.f64 eps) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))
(.f64 (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 2 binary64)))) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal 1 binary64)))
(.f64 (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (tan.f64 eps))
(*.f64 (neg.f64 (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))))
(*.f64 (tan.f64 eps) (pow.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))))
(pow.f64 (/.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 eps)) #s(literal -1 binary64))
(/.f64 (*.f64 (sin.f64 eps) (pow.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (cos.f64 eps))
(/.f64 (neg.f64 (neg.f64 (tan.f64 eps))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))))
(/.f64 (.f64 (sin.f64 eps) #s(literal 1 binary64)) (.f64 (cos.f64 eps) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))))
(/.f64 (*.f64 (tan.f64 eps) #s(literal 1 binary64)) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (tan.f64 eps)) (neg.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))))
(/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 eps)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 eps)))
(neg.f64 (/.f64 (neg.f64 (tan.f64 eps)) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))))
(neg.f64 (/.f64 (tan.f64 eps) (neg.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))))

eval176.0ms (1.1%)

Memory: 1.3MiB live, 226.5MiB allocated
Compiler: Compiled 71 083 to 5 512 computations (92.2% saved)

prune52.0ms (0.3%)

Memory

7.0MiB live, 92.4MiB allocated

Pruning

44 alts after pruning (38 fresh and 6 done)

	Pruned	Kept	Total
New	999	17	1 016
Fresh	7	21	28
Picked	3	2	5
Done	0	4	4
Total	1 009	44	1 053

Accuracy

100.0%

Counts

1 053 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.0%	(fma.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 2 binary64)))) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal 1 binary64)) (neg.f64 (tan.f64 x)))
	63.7%	(fma.f64 (sin.f64 (+.f64 eps x)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) (neg.f64 (tan.f64 x)))
	63.7%	(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 eps x)))
	63.9%	(fma.f64 (neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x))))) (neg.f64 (tan.f64 x)))
	64.0%	(fma.f64 (neg.f64 (tan.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))) (fma.f64 #s(approx (tan x) (tan.f64 x)) #s(literal -1 binary64) (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))))
	62.8%	(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x)))
	63.9%	(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x)) (.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) (sin.f64 x))) (*.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) (cos.f64 x)))
▶	38.2%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) (tan.f64 x))) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
	36.6%	(/.f64 (-.f64 #s(approx (* 1 (/ 1 (tan x))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) x)) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
	64.0%	(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x)))) (tan.f64 x))
	7.5%	(-.f64 (/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (cos.f64 (+.f64 (+.f64 (PI.f64) x) eps))) (tan.f64 (+.f64 (PI.f64) x)))
	64.0%	(-.f64 (+.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 eps) (tan.f64 x)))) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 eps) (tan.f64 x))))) (tan.f64 x))
	7.5%	(-.f64 (*.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (+.f64 (PI.f64) x) eps)))) (tan.f64 (+.f64 (PI.f64) x)))
✓	39.7%	(-.f64 (tan.f64 (-.f64 (/.f64 (.f64 x x) (-.f64 x eps)) (/.f64 (.f64 eps eps) (-.f64 x eps)))) (tan.f64 x))
	38.5%	(-.f64 (tan.f64 (-.f64 (/.f64 (.f64 x x) (-.f64 x eps)) (/.f64 (.f64 eps 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)))
	38.4%	(-.f64 (tan.f64 (-.f64 (/.f64 (.f64 x x) (-.f64 x eps)) (/.f64 (.f64 eps eps) (-.f64 x eps)))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
	38.3%	(-.f64 (tan.f64 (-.f64 (/.f64 (.f64 x x) (-.f64 x eps)) (/.f64 (.f64 eps eps) (-.f64 x eps)))) #s(approx (tan x) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 1 binary64)) x)))
	4.4%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (+.f64 eps (PI.f64)))) (tan.f64 x))
	4.4%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 eps (PI.f64)))) (tan.f64 x))
✓	7.5%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 (+.f64 (PI.f64) x)))
	3.4%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) #s(approx (tan (+ (PI) x)) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x)))
	3.2%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) #s(approx (tan (+ (PI) x)) x))
	2.6%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
	63.7%	(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
✓	7.6%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
✓	63.7%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	62.3%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x)))
	61.9%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) x))
▶	7.9%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
	98.5%	(+.f64 (fma.f64 #s(literal -1 binary64) (tan.f64 x) (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 eps) (tan.f64 x))))) #s(approx (/ (tan eps) (- 1 ( (tan eps) (tan x)))) (fma.f64 (/.f64 (*.f64 (sin.f64 x) eps) (cos.f64 x)) eps eps)))
	98.5%	(+.f64 (fma.f64 #s(literal -1 binary64) #s(approx (tan x) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 eps) (tan.f64 x))))) #s(approx (/ (tan eps) (- 1 ( (tan eps) (tan x)))) (fma.f64 eps (/.f64 (*.f64 (sin.f64 x) eps) (cos.f64 x)) eps)))
	98.9%	(+.f64 #s(approx (+ (* -1 (tan x)) (/ (tan x) (- 1 (* (tan eps) (tan x))))) (+.f64 #s(literal 0 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 eps) (tan.f64 x)))))
▶	98.7%	#s(approx (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1)) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x)))) (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps))
▶	97.4%	#s(approx (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1)) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
	99.5%	#s(approx (- (tan (- (/ (* x x) (- x eps)) (/ (* eps eps) (- x eps)))) (tan x)) (*.f64 (+.f64 (fma.f64 eps (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps))
✓	5.3%	#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) #s(literal 0 binary64))
	29.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (sin.f64 x) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (sin.f64 x) #s(literal -1/3 binary64)) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (sin.f64 x) #s(literal -1/3 binary64))))) (cos.f64 x)) (neg.f64 eps) (-.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))))) eps) eps (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps) (sin.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (fma.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps) (sin.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps) (sin.f64 x)) (.f64 (sin.f64 x) (tan.f64 x)))))) (cos.f64 x))) eps eps))
▶	99.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (sin.f64 x) #s(literal -2/3 binary64) (*.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x)))) (cos.f64 x)) (neg.f64 eps) (-.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))))) eps) eps (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x))) eps eps))
	99.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (.f64 (fma.f64 (/.f64 #s(approx (+ ( (* (sin x) (neg (pow (tan x) 2))) (+ (* (tan x) (tan x)) 1)) (+ (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)) (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)))) (*.f64 #s(literal -2/3 binary64) x)) (cos.f64 x)) (neg.f64 eps) (-.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))))) eps) eps (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x))) eps eps))
	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (.f64 #s(approx (+ ( (/ (+ (* (* (sin x) (neg (pow (tan x) 2))) (+ (* (tan x) (tan x)) 1)) (+ (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)) (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)))) (cos x)) (neg eps)) (- -1/6 (+ (* 1/6 (pow (tan x) 2)) (+ (* (neg (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (+ (* (pow (tan x) 2) -1/2) -1/2))))) #s(literal 1/3 binary64)) eps) eps (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x))) eps eps))
	99.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 #s(approx (* (+ (* (/ (+ (* (* (sin x) (neg (pow (tan x) 2))) (+ (* (tan x) (tan x)) 1)) (+ (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)) (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)))) (cos x)) (neg eps)) (- -1/6 (+ (* 1/6 (pow (tan x) 2)) (+ (* (neg (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (+ (* (pow (tan x) 2) -1/2) -1/2))))) eps) (.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)) eps (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x))) eps eps))
	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x)) eps eps))
	63.7%	#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
✓	63.7%	#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))

Compiler

Compiled 3 014 to 1 560 computations (48.2% saved)

simplify141.0ms (0.9%)

Memory

2.7MiB live, 116.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	2	(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
cost-diff	2	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) (tan.f64 x))) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))
cost-diff	2	(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
cost-diff	4	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) (tan.f64 x))) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
cost-diff	0	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
cost-diff	0	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
cost-diff	0	(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
cost-diff	0	#s(approx (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1)) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x)))) (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps))
cost-diff	0	(cos.f64 eps)
cost-diff	0	(sin.f64 eps)
cost-diff	0	(/.f64 (sin.f64 eps) (cos.f64 eps))
cost-diff	0	#s(approx (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1)) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
cost-diff	0	#s(approx (tan (+ (PI) x)) #s(literal 0 binary64))
cost-diff	0	(+.f64 x eps)
cost-diff	0	(tan.f64 (+.f64 x eps))
cost-diff	0	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
cost-diff	1	(fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))
cost-diff	3	(fma.f64 (sin.f64 x) #s(literal -2/3 binary64) (*.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x)))
cost-diff	6	(fma.f64 (/.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (sin.f64 x) #s(literal -2/3 binary64) (.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x)))) (cos.f64 x)) (neg.f64 eps) (-.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))))
cost-diff	7	(fma.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	896
0	138	870
1	311	800
2	1046	729
3	5456	723
0	8589	715

Stop Event

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

Calls

Call 1

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

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

localize772.0ms (4.8%)

Memory

-91.7MiB live, 551.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.27734375	(/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) (tan.f64 x)))
accuracy	0.28125	(/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x)))
accuracy	23.183266637181983	(-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) (tan.f64 x))) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))))
accuracy	26.117187658003857	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) (tan.f64 x))) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
accuracy	0.0078125	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
accuracy	0.0234375	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
accuracy	0.0234375	(pow.f64 (cos.f64 x) #s(literal 2 binary64))
accuracy	0.812255555488241	#s(approx (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1)) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x)))) (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps))
accuracy	0.0	(sin.f64 eps)
accuracy	0.0	(cos.f64 eps)
accuracy	0.01171875	(/.f64 (sin.f64 eps) (cos.f64 eps))
accuracy	1.6770278173197337	#s(approx (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1)) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
accuracy	0.0	(+.f64 x eps)
accuracy	0.16555540178110745	(tan.f64 (+.f64 x eps))
accuracy	23.03412384338284	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
accuracy	60.737869134694485	#s(approx (tan (+ (PI) x)) #s(literal 0 binary64))
accuracy	0.14453125	(fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))
accuracy	0.296875	(.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (sin.f64 x) #s(literal -2/3 binary64) (*.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x)))) (cos.f64 x)) (neg.f64 eps) (-.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))))) eps)
accuracy	0.33984375	(fma.f64 (sin.f64 x) #s(literal -2/3 binary64) (*.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x)))
accuracy	0.9850387695368841	(-.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))))

Samples

655.0ms	245×	1	valid
10.0ms	2×	2	valid
8.0ms	2×	3	valid
4.0ms	7×	0	valid

Compiler

Compiled 1 749 to 154 computations (91.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 614.0ms

const: 273.0ms (44.5% of total)

ival-tan: 120.0ms (19.6% of total)

ival-mult: 54.0ms (8.8% of total)

ival-add: 46.0ms (7.5% of total)

adjust: 42.0ms (6.8% of total)

ival-div: 36.0ms (5.9% of total)

ival-pow2: 14.0ms (2.3% of total)

ival-sub: 11.0ms (1.8% of total)

ival-cos: 5.0ms (0.8% of total)

ival-sin: 5.0ms (0.8% of total)

ival-neg: 5.0ms (0.8% of total)

ival-pi: 2.0ms (0.3% of total)

exact: 1.0ms (0.2% of total)

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

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

series84.0ms (0.5%)

Memory

20.8MiB live, 106.7MiB allocated

Counts

26 → 174

Calls

Call 1

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

Outputs
-1/2
(- (* -3/2 (pow x 2)) 1/2)
(- (* (pow x 2) (- (* -2 (pow x 2)) 3/2)) 1/2)
(- (* (pow x 2) (- (* (pow x 2) (- (* -19/10 (pow x 2)) 2)) 3/2)) 1/2)
1/3
(+ 1/3 (* 2/3 (* eps x)))
(+ 1/3 (* x (+ (* 2/3 eps) (* 4/3 x))))
(+ 1/3 (* x (+ (* 2/3 eps) (* x (+ 4/3 (* -1 (* x (- (* -14/9 eps) (* 1/3 eps)))))))))
(* -2/3 x)
(* x (- (* -8/9 (pow x 2)) 2/3))
(* x (- (* (pow x 2) (- (* -91/180 (pow x 2)) 8/9)) 2/3))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1039/3780 (pow x 2)) 91/180)) 8/9)) 2/3))
(* eps x)
(* x (+ eps x))
(* x (+ eps (* x (+ 1 (* x (+ eps (* -1/6 eps)))))))
(* x (+ eps (* x (+ 1 (* x (+ eps (+ (* -1/6 eps) (* 1/6 x))))))))
(- (/ (sin eps) (cos eps)) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (+ (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* x (- (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(/ (sin eps) (cos eps))
(+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* 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)))
(+ (* 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)))
eps
(+ eps x)
(/ (sin (PI)) (cos (PI)))
(+ (* x (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(+ (* x (- (+ 1 (/ (* x (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))))) (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI))))))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (+ (* x (+ (* -1 (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))) (+ (* 1/3 (/ (sin eps) (cos eps))) (+ (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)) (/ (* (sin eps) (- (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2)) 1/3)) (cos eps)))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(+ (* x (+ (* x (+ (* -1 (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))) (+ (* 1/3 (/ (sin eps) (cos eps))) (+ (* x (+ (* -1 (+ 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 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (+ (* 1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (- (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2)) 1/3)) (/ (* (sin eps) (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps)))) (cos eps))))))) (+ (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)) (/ (* (sin eps) (- (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2)) 1/3)) (cos eps))))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(+ eps (* eps (pow x 2)))
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (* -1/3 eps) (* -1 eps))))))
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (+ (* -1/3 eps) (* (pow x 2) (- (* 2/45 eps) (+ (* -1 (- (* -1/3 eps) (* -1 eps))) (* 1/3 eps))))) (* -1 eps))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(+ (* x (+ (* x (+ (* -1 (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))) (+ (* 1/3 (/ (sin eps) (cos eps))) (+ (/ (* (sin eps) (+ 2/3 (/ (pow (cos eps) 2) (pow (sin eps) 2)))) (cos eps)) (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(+ (* x (+ (* x (+ (* -1 (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))) (+ (* 1/3 (/ (sin eps) (cos eps))) (+ (* x (+ (* -1 (+ 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 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (+ (* 1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* (+ 2/3 (/ (pow (cos eps) 2) (pow (sin eps) 2))) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (* (sin eps) (- (* -1 (/ (pow (cos eps) 3) (pow (sin eps) 3))) (/ (cos eps) (sin eps)))) (cos eps))))))) (+ (/ (* (sin eps) (+ 2/3 (/ (pow (cos eps) 2) (pow (sin eps) 2)))) (cos eps)) (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(/ 1 x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)
(/ (cos eps) (sin eps))
(+ (* -1 (* x (+ 1 (/ (pow (cos eps) 2) (pow (sin eps) 2))))) (/ (cos eps) (sin eps)))
(+ (* x (- (/ (* x (* (cos eps) (+ 1 (/ (pow (cos eps) 2) (pow (sin eps) 2))))) (sin eps)) (+ 1 (/ (pow (cos eps) 2) (pow (sin eps) 2))))) (/ (cos eps) (sin eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/3 (+ (* 1/3 (/ (pow (cos eps) 2) (pow (sin eps) 2))) (/ (* (pow (cos eps) 2) (+ 1 (/ (pow (cos eps) 2) (pow (sin eps) 2)))) (pow (sin eps) 2)))))) (* -1 (/ (* (cos eps) (+ 1 (/ (pow (cos eps) 2) (pow (sin eps) 2)))) (sin eps))))) (+ 1 (/ (pow (cos eps) 2) (pow (sin eps) 2))))) (/ (cos eps) (sin eps)))
(/ (cos eps) (* x (sin eps)))
(/ (+ (* -1 (/ (* x (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (pow (sin eps) 2))) (/ (cos eps) (sin eps))) x)
(/ (+ (* x (- (* -1 (* x (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (pow (cos eps) 2) (+ (* 1/3 (/ (sin eps) (cos eps))) (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))) (pow (sin eps) 2))))) (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2)))) (/ (cos eps) (sin eps))) x)
(/ (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (cos eps) (* (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (pow (cos eps) 2) (+ (* 1/3 (/ (sin eps) (cos eps))) (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))) (pow (sin eps) 2))) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (sin eps))) (+ (* -1 (/ (* (pow (cos eps) 3) (* (+ (* 1/3 (/ (sin eps) (cos eps))) (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (pow (sin eps) 3))) (/ (* (pow (cos eps) 2) (+ (* -1 (+ 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))))))) (* 1/3 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (pow (sin eps) 2)))))) (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (pow (cos eps) 2) (+ (* 1/3 (/ (sin eps) (cos eps))) (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))) (pow (sin eps) 2))))) (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2)))) (/ (cos eps) (sin eps))) x)
(+ 1/3 (* 4/3 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 4/3 (* 17/9 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/9 (* 248/135 (pow x 2)))))))
(* 1/3 eps)
(+ (* 1/3 eps) (* 2/3 (* (pow eps 2) x)))
(+ (* 1/3 eps) (* x (+ (* 2/3 (pow eps 2)) (* 4/3 (* eps x)))))
(+ (* 1/3 eps) (* x (+ (* 2/3 (pow eps 2)) (* x (+ (* -1 (* eps (* x (- (* -14/9 eps) (* 1/3 eps))))) (* 4/3 eps))))))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(/ (+ 1 (* -1 (/ (* x (cos eps)) (sin eps)))) x)
(/ (+ 1 (* x (- (* x (+ 2/3 (/ (pow (cos eps) 2) (pow (sin eps) 2)))) (/ (cos eps) (sin eps))))) x)
(/ (+ 1 (* x (- (* x (+ 2/3 (+ (* x (- (* -1 (/ (pow (cos eps) 3) (pow (sin eps) 3))) (/ (cos eps) (sin eps)))) (/ (pow (cos eps) 2) (pow (sin eps) 2))))) (/ (cos eps) (sin eps))))) x)
(+ (* -1 (/ (* x (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (pow (sin eps) 2))) (/ (cos eps) (sin eps)))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))))) (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2)))) (/ (cos eps) (sin eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (cos eps) (* (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (sin eps))) (+ (* -1 (/ (* (pow (cos eps) 2) (+ 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))))))) (pow (sin eps) 2))) (* -1 (/ (* (pow (cos eps) 2) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 2))))))) (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))))) (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2)))) (/ (cos eps) (sin eps)))
(+ (* -1 (/ (* x (pow (cos eps) 2)) (pow (sin eps) 2))) (/ (cos eps) (sin eps)))
(+ (* x (- (/ (* x (pow (cos eps) 3)) (pow (sin eps) 3)) (/ (pow (cos eps) 2) (pow (sin eps) 2)))) (/ (cos eps) (sin eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* 1/3 (/ (pow (cos eps) 2) (pow (sin eps) 2))) (/ (pow (cos eps) 4) (pow (sin eps) 4))))) (* -1 (/ (pow (cos eps) 3) (pow (sin eps) 3))))) (/ (pow (cos eps) 2) (pow (sin eps) 2)))) (/ (cos eps) (sin eps)))
(- (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
(- (+ 1/3 (* -1 (/ (* eps (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 3) (pow (cos x) 2))) (* -2/3 (sin x))))) (cos x)))) (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(+ (* -1 (/ (pow (sin x) 3) (pow (cos x) 2))) (* -2/3 (sin x)))
(+ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (/ (pow (sin x) 2) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(/ (sin (+ eps x)) (cos (+ eps x)))
x
(* x (+ 1 (/ eps x)))
(/ (sin (+ x (PI))) (cos (+ x (PI))))
(/ (* (sin x) (* (sin (+ eps x)) (- (/ (cos x) (sin x)) (/ (cos (+ eps x)) (sin (+ eps x)))))) (* (cos x) (cos (+ eps x))))
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(pow (sin x) 2)
(/ (* (sin x) (* (sin (+ eps x)) (- (/ (cos x) (sin x)) (+ (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))))) (/ 1 (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))))))) (* (cos x) (cos (+ eps x))))
(/ (cos x) (sin x))
(/ (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(/ (* (cos x) (cos (+ eps x))) (* (sin x) (sin (+ eps x))))
(- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* eps (- (+ 1/3 (* -1 (/ (* eps (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 3) (pow (cos x) 2))) (* -2/3 (sin x))))) (cos x)))) (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
(pow (cos x) 2)
(- (/ (cos x) (sin x)) (+ (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))))) (/ 1 (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))))
(/ (cos (+ eps x)) (sin (+ eps x)))
(/ 1 (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x)))))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x))))
(/ (* (sin x) (* (sin (- eps (* -1 x))) (- (/ (cos x) (sin x)) (/ (cos (- eps (* -1 x))) (sin (- eps (* -1 x))))))) (* (cos x) (cos (- eps (* -1 x)))))
(/ (* (sin x) (* (sin (- eps (* -1 x))) (- (/ (cos x) (sin x)) (+ (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))))) (/ 1 (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))))))) (* (cos x) (cos (- eps (* -1 x)))))
(/ (* (cos x) (cos (- eps (* -1 x)))) (* (sin x) (sin (- eps (* -1 x)))))
(/ (cos (- eps (* -1 x))) (sin (- eps (* -1 x))))
(/ (pow (sin x) 2) (cos x))
(+ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (pow (sin x) 2) (cos x)))
(- (/ (sin x) (cos x)) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(/ (sin x) (cos x))
(+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* 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)))
(+ (* 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)))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* eps (- (+ 1 (* eps (+ (/ (* eps (* (sin x) (+ (* (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+ (/ (* (cos x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (sin x)) (/ (* (sin x) (+ (* -1 (/ (* (cos x) (* (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin x))) (+ (* -1 (/ (* (pow (cos x) 2) (+ 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))))))) (pow (sin x) 2))) (* -1 (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2)))))) (cos x)))))) (cos x)) (/ (* (sin x) (+ (/ (* (sin x) (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x)))) (cos x)) (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2)))) (cos x))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* eps (+ 1 (* 1/3 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(* eps (+ 1 (* -1/6 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(+ 1 (* -1/2 (pow eps 2)))
(+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (* eps (* (pow (sin x) 2) (+ 1 (/ (pow (cos x) 2) (pow (sin x) 2))))) (pow (cos x) 2))
(* eps (+ (/ (* eps (* (sin x) (+ (* (+ 1 (/ (pow (cos x) 2) (pow (sin x) 2))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (sin x) (- (* -1 (/ (pow (cos x) 3) (pow (sin x) 3))) (/ (cos x) (sin x)))) (cos x))))) (cos x)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (cos x) 2) (pow (sin x) 2)))) (pow (cos x) 2))))
(* eps (+ (* eps (+ (/ (* eps (* (sin x) (+ (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* -1 (/ (pow (cos x) 3) (pow (sin x) 3))) (/ (cos x) (sin x)))) (+ (/ (* (sin x) (* (+ 1 (/ (pow (cos x) 2) (pow (sin x) 2))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (/ (* (sin x) (- (+ (* 1/3 (/ (pow (cos x) 2) (pow (sin x) 2))) (/ (pow (cos x) 4) (pow (sin x) 4))) (* -1 (- 1/3 (* -1 (/ (pow (cos x) 2) (pow (sin x) 2))))))) (cos x)))))) (cos x)) (/ (* (sin x) (+ (* (+ 1 (/ (pow (cos x) 2) (pow (sin x) 2))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (sin x) (- (* -1 (/ (pow (cos x) 3) (pow (sin x) 3))) (/ (cos x) (sin x)))) (cos x)))) (cos x)))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (cos x) 2) (pow (sin x) 2)))) (pow (cos x) 2))))
(* eps (+ (* eps (+ (* eps (+ (/ (* eps (* (sin x) (+ (* -1 (* (+ 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 (/ (pow (cos x) 2) (pow (sin x) 2))))) (+ (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (+ (* 1/3 (/ (pow (cos x) 2) (pow (sin x) 2))) (/ (pow (cos x) 4) (pow (sin x) 4))) (* -1 (- 1/3 (* -1 (/ (pow (cos x) 2) (pow (sin x) 2))))))) (+ (/ (* (sin x) (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* -1 (/ (pow (cos x) 3) (pow (sin x) 3))) (/ (cos x) (sin x))))) (cos x)) (/ (* (sin x) (- (+ (* -1 (/ (* (cos x) (+ (* 1/3 (/ (pow (cos x) 2) (pow (sin x) 2))) (/ (pow (cos x) 4) (pow (sin x) 4)))) (sin x))) (* -1/3 (/ (pow (cos x) 3) (pow (sin x) 3)))) (+ (* 1/3 (/ (cos x) (sin x))) (/ (* (cos x) (- 1/3 (* -1 (/ (pow (cos x) 2) (pow (sin x) 2))))) (sin x))))) (cos x))))))) (cos x)) (/ (* (sin x) (+ (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* -1 (/ (pow (cos x) 3) (pow (sin x) 3))) (/ (cos x) (sin x)))) (+ (/ (* (sin x) (* (+ 1 (/ (pow (cos x) 2) (pow (sin x) 2))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (/ (* (sin x) (- (+ (* 1/3 (/ (pow (cos x) 2) (pow (sin x) 2))) (/ (pow (cos x) 4) (pow (sin x) 4))) (* -1 (- 1/3 (* -1 (/ (pow (cos x) 2) (pow (sin x) 2))))))) (cos x))))) (cos x)))) (/ (* (sin x) (+ (* (+ 1 (/ (pow (cos x) 2) (pow (sin x) 2))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (sin x) (- (* -1 (/ (pow (cos x) 3) (pow (sin x) 3))) (/ (cos x) (sin x)))) (cos x)))) (cos x)))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (cos x) 2) (pow (sin x) 2)))) (pow (cos x) 2))))
(+ (* -1 (* eps (+ 1 (/ (pow (cos x) 2) (pow (sin x) 2))))) (/ (cos x) (sin x)))
(+ (* eps (- (/ (* eps (* (cos x) (+ 1 (/ (pow (cos x) 2) (pow (sin x) 2))))) (sin x)) (+ 1 (/ (pow (cos x) 2) (pow (sin x) 2))))) (/ (cos x) (sin x)))
(+ (* eps (- (* eps (- (* -1 (* eps (+ 1/3 (+ (* 1/3 (/ (pow (cos x) 2) (pow (sin x) 2))) (/ (* (pow (cos x) 2) (+ 1 (/ (pow (cos x) 2) (pow (sin x) 2)))) (pow (sin x) 2)))))) (* -1 (/ (* (cos x) (+ 1 (/ (pow (cos x) 2) (pow (sin x) 2)))) (sin x))))) (+ 1 (/ (pow (cos x) 2) (pow (sin x) 2))))) (/ (cos x) (sin x)))
(/ (pow (cos x) 2) (pow (sin x) 2))
(+ (* -1 (/ (* eps (* (pow (cos x) 3) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow (sin x) 3))) (/ (pow (cos x) 2) (pow (sin x) 2)))
(+ (* eps (- (* -1 (* eps (+ (* -1 (/ (* (pow (cos x) 4) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 4))) (/ (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 2))))) (/ (* (pow (cos x) 3) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 3)))) (/ (pow (cos x) 2) (pow (sin x) 2)))
(+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (* (cos x) (* (+ (* -1 (/ (* (pow (cos x) 4) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 4))) (/ (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 2))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin x))) (+ (* -1 (/ (* (pow (cos x) 3) (+ 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))))))) (pow (sin x) 3))) (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))))))) (+ (* -1 (/ (* (pow (cos x) 4) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 4))) (/ (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 2))))) (/ (* (pow (cos x) 3) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 3)))) (/ (pow (cos x) 2) (pow (sin x) 2)))
(* eps (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
(* eps (+ 1 (/ (pow (cos x) 2) (pow (sin x) 2))))
(* eps (+ 1 (+ (* eps (- (* -1 (/ (pow (cos x) 3) (pow (sin x) 3))) (/ (cos x) (sin x)))) (/ (pow (cos x) 2) (pow (sin x) 2)))))
(* eps (+ 1 (+ (* eps (- (+ (* -1 (/ (pow (cos x) 3) (pow (sin x) 3))) (* eps (- (+ (* 1/3 (/ (pow (cos x) 2) (pow (sin x) 2))) (/ (pow (cos x) 4) (pow (sin x) 4))) (* -1 (- 1/3 (* -1 (/ (pow (cos x) 2) (pow (sin x) 2)))))))) (/ (cos x) (sin x)))) (/ (pow (cos x) 2) (pow (sin x) 2)))))
(* eps (+ 1 (+ (* eps (- (+ (* -1 (/ (pow (cos x) 3) (pow (sin x) 3))) (* eps (- (+ (* 1/3 (/ (pow (cos x) 2) (pow (sin x) 2))) (+ (* eps (- (+ (* -1 (/ (* (cos x) (+ (* 1/3 (/ (pow (cos x) 2) (pow (sin x) 2))) (/ (pow (cos x) 4) (pow (sin x) 4)))) (sin x))) (* -1/3 (/ (pow (cos x) 3) (pow (sin x) 3)))) (+ (* 1/3 (/ (cos x) (sin x))) (/ (* (cos x) (- 1/3 (* -1 (/ (pow (cos x) 2) (pow (sin x) 2))))) (sin x))))) (/ (pow (cos x) 4) (pow (sin x) 4)))) (* -1 (- 1/3 (* -1 (/ (pow (cos x) 2) (pow (sin x) 2)))))))) (/ (cos x) (sin x)))) (/ (pow (cos x) 2) (pow (sin x) 2)))))
(+ (* -1 (/ (* eps (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow (sin x) 2))) (/ (cos x) (sin x)))
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(+ (* -1 (/ (* eps (pow (cos x) 2)) (pow (sin x) 2))) (/ (cos x) (sin x)))
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(+ (* eps (- (* eps (- (* -1 (* eps (+ (* 1/3 (/ (pow (cos x) 2) (pow (sin x) 2))) (/ (pow (cos x) 4) (pow (sin x) 4))))) (* -1 (/ (pow (cos x) 3) (pow (sin x) 3))))) (/ (pow (cos x) 2) (pow (sin x) 2)))) (/ (cos x) (sin x)))
(* -1 (/ (* eps (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 3) (pow (cos x) 2))) (* -2/3 (sin x))))) (cos x)))
(* eps (- (+ (* -1 (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 3) (pow (cos x) 2))) (* -2/3 (sin x)))) (cos x))) (* 1/3 (/ 1 eps))) (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2)))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))))
(* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (pow (sin x) 2) (* eps (cos x)))))
(* eps (+ 1 (/ x eps)))
(sin eps)
(cos eps)
(* -1 (/ (* (pow eps 2) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 3) (pow (cos x) 2))) (* -2/3 (sin x))))) (cos x)))
(* (pow eps 2) (- (+ (* -1 (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 3) (pow (cos x) 2))) (* -2/3 (sin x)))) (cos x))) (* 1/3 (/ 1 eps))) (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2)))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))))
(* -1 (* eps (+ (* -1 (/ (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) eps)) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 3) (pow (cos x) 2))) (* -2/3 (sin x)))) (cos x)))))
(* -1 (* eps (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))))
(* -1 (* eps (+ (* -1 (/ (pow (sin x) 2) (* eps (cos x)))) (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(/ (* (sin x) (* (sin (- x (* -1 eps))) (- (/ (cos x) (sin x)) (/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))))) (* (cos x) (cos (- x (* -1 eps)))))
(* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
(/ (* (sin x) (* (sin (- x (* -1 eps))) (- (/ (cos x) (sin x)) (+ (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))))) (/ 1 (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))))))) (* (cos x) (cos (- x (* -1 eps)))))
(/ (* (cos x) (cos (- x (* -1 eps)))) (* (sin x) (sin (- x (* -1 eps)))))
(/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))

Calls

6 calls:

Time	Variable		Point	Expression
19.0ms	x	@	inf	((+ (* (neg (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (/ (* (+ (* (tan x) (tan x)) 1) (+ (* (sin x) -2/3) (* (neg (pow (tan x) 2)) (sin x)))) (cos x)) (neg eps)) (- -1/6 (+ (* 1/6 (pow (tan x) 2)) (+ (* (neg (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (+ (* (pow (tan x) 2) -1/2) -1/2))))) (+ (* (sin x) -2/3) (* (neg (pow (tan x) 2)) (sin x))) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (tan (+ (PI) x)) (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1)) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x)))) (/ (sin eps) (cos eps)) (sin eps) (cos eps) (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1)) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x)))) (+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (pow (sin x) 2) (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (+ (tan eps) (tan x))) (+ (* (neg (tan eps)) (tan x)) 1))) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x)))) (* 1 (/ 1 (tan x))) (* (/ 1 (+ (tan eps) (tan x))) (+ (* (neg (tan eps)) (tan x)) 1)) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x))) (- -1/6 (+ (* 1/6 (pow (tan x) 2)) (+ (* (neg (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (+ (* (pow (tan x) 2) -1/2) -1/2)))) (* (+ (* (/ (* (+ (* (tan x) (tan x)) 1) (+ (* (sin x) -2/3) (* (neg (pow (tan x) 2)) (sin x)))) (cos x)) (neg eps)) (- -1/6 (+ (* 1/6 (pow (tan x) 2)) (+ (* (neg (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (+ (* (pow (tan x) 2) -1/2) -1/2))))) eps) (pow (cos x) 2) (- (* 1 (/ 1 (tan x))) (* (/ 1 (+ (tan eps) (tan x))) (+ (* (neg (tan eps)) (tan x)) 1))) (/ 1 (tan (+ eps x))) (/ 1 (+ (tan eps) (tan x))))
17.0ms	x	@	-inf	((+ (* (neg (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (/ (* (+ (* (tan x) (tan x)) 1) (+ (* (sin x) -2/3) (* (neg (pow (tan x) 2)) (sin x)))) (cos x)) (neg eps)) (- -1/6 (+ (* 1/6 (pow (tan x) 2)) (+ (* (neg (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (+ (* (pow (tan x) 2) -1/2) -1/2))))) (+ (* (sin x) -2/3) (* (neg (pow (tan x) 2)) (sin x))) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (tan (+ (PI) x)) (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1)) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x)))) (/ (sin eps) (cos eps)) (sin eps) (cos eps) (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1)) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x)))) (+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (pow (sin x) 2) (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (+ (tan eps) (tan x))) (+ (* (neg (tan eps)) (tan x)) 1))) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x)))) (* 1 (/ 1 (tan x))) (* (/ 1 (+ (tan eps) (tan x))) (+ (* (neg (tan eps)) (tan x)) 1)) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x))) (- -1/6 (+ (* 1/6 (pow (tan x) 2)) (+ (* (neg (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (+ (* (pow (tan x) 2) -1/2) -1/2)))) (* (+ (* (/ (* (+ (* (tan x) (tan x)) 1) (+ (* (sin x) -2/3) (* (neg (pow (tan x) 2)) (sin x)))) (cos x)) (neg eps)) (- -1/6 (+ (* 1/6 (pow (tan x) 2)) (+ (* (neg (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (+ (* (pow (tan x) 2) -1/2) -1/2))))) eps) (pow (cos x) 2) (- (* 1 (/ 1 (tan x))) (* (/ 1 (+ (tan eps) (tan x))) (+ (* (neg (tan eps)) (tan x)) 1))) (/ 1 (tan (+ eps x))) (/ 1 (+ (tan eps) (tan x))))
16.0ms	eps	@	0	((+ (* (neg (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (/ (* (+ (* (tan x) (tan x)) 1) (+ (* (sin x) -2/3) (* (neg (pow (tan x) 2)) (sin x)))) (cos x)) (neg eps)) (- -1/6 (+ (* 1/6 (pow (tan x) 2)) (+ (* (neg (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (+ (* (pow (tan x) 2) -1/2) -1/2))))) (+ (* (sin x) -2/3) (* (neg (pow (tan x) 2)) (sin x))) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (tan (+ (PI) x)) (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1)) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x)))) (/ (sin eps) (cos eps)) (sin eps) (cos eps) (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1)) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x)))) (+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (pow (sin x) 2) (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (+ (tan eps) (tan x))) (+ (* (neg (tan eps)) (tan x)) 1))) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x)))) (* 1 (/ 1 (tan x))) (* (/ 1 (+ (tan eps) (tan x))) (+ (* (neg (tan eps)) (tan x)) 1)) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x))) (- -1/6 (+ (* 1/6 (pow (tan x) 2)) (+ (* (neg (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (+ (* (pow (tan x) 2) -1/2) -1/2)))) (* (+ (* (/ (* (+ (* (tan x) (tan x)) 1) (+ (* (sin x) -2/3) (* (neg (pow (tan x) 2)) (sin x)))) (cos x)) (neg eps)) (- -1/6 (+ (* 1/6 (pow (tan x) 2)) (+ (* (neg (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (+ (* (pow (tan x) 2) -1/2) -1/2))))) eps) (pow (cos x) 2) (- (* 1 (/ 1 (tan x))) (* (/ 1 (+ (tan eps) (tan x))) (+ (* (neg (tan eps)) (tan x)) 1))) (/ 1 (tan (+ eps x))) (/ 1 (+ (tan eps) (tan x))))
11.0ms	eps	@	inf	((+ (* (neg (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (/ (* (+ (* (tan x) (tan x)) 1) (+ (* (sin x) -2/3) (* (neg (pow (tan x) 2)) (sin x)))) (cos x)) (neg eps)) (- -1/6 (+ (* 1/6 (pow (tan x) 2)) (+ (* (neg (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (+ (* (pow (tan x) 2) -1/2) -1/2))))) (+ (* (sin x) -2/3) (* (neg (pow (tan x) 2)) (sin x))) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (tan (+ (PI) x)) (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1)) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x)))) (/ (sin eps) (cos eps)) (sin eps) (cos eps) (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1)) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x)))) (+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (pow (sin x) 2) (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (+ (tan eps) (tan x))) (+ (* (neg (tan eps)) (tan x)) 1))) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x)))) (* 1 (/ 1 (tan x))) (* (/ 1 (+ (tan eps) (tan x))) (+ (* (neg (tan eps)) (tan x)) 1)) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x))) (- -1/6 (+ (* 1/6 (pow (tan x) 2)) (+ (* (neg (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (+ (* (pow (tan x) 2) -1/2) -1/2)))) (* (+ (* (/ (* (+ (* (tan x) (tan x)) 1) (+ (* (sin x) -2/3) (* (neg (pow (tan x) 2)) (sin x)))) (cos x)) (neg eps)) (- -1/6 (+ (* 1/6 (pow (tan x) 2)) (+ (* (neg (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (+ (* (pow (tan x) 2) -1/2) -1/2))))) eps) (pow (cos x) 2) (- (* 1 (/ 1 (tan x))) (* (/ 1 (+ (tan eps) (tan x))) (+ (* (neg (tan eps)) (tan x)) 1))) (/ 1 (tan (+ eps x))) (/ 1 (+ (tan eps) (tan x))))
10.0ms	eps	@	-inf	((+ (* (neg (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (/ (* (+ (* (tan x) (tan x)) 1) (+ (* (sin x) -2/3) (* (neg (pow (tan x) 2)) (sin x)))) (cos x)) (neg eps)) (- -1/6 (+ (* 1/6 (pow (tan x) 2)) (+ (* (neg (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (+ (* (pow (tan x) 2) -1/2) -1/2))))) (+ (* (sin x) -2/3) (* (neg (pow (tan x) 2)) (sin x))) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (tan (+ (PI) x)) (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1)) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x)))) (/ (sin eps) (cos eps)) (sin eps) (cos eps) (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1)) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x)))) (+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (pow (sin x) 2) (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (+ (tan eps) (tan x))) (+ (* (neg (tan eps)) (tan x)) 1))) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x)))) (* 1 (/ 1 (tan x))) (* (/ 1 (+ (tan eps) (tan x))) (+ (* (neg (tan eps)) (tan x)) 1)) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x))) (- -1/6 (+ (* 1/6 (pow (tan x) 2)) (+ (* (neg (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (+ (* (pow (tan x) 2) -1/2) -1/2)))) (* (+ (* (/ (* (+ (* (tan x) (tan x)) 1) (+ (* (sin x) -2/3) (* (neg (pow (tan x) 2)) (sin x)))) (cos x)) (neg eps)) (- -1/6 (+ (* 1/6 (pow (tan x) 2)) (+ (* (neg (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (+ (* (pow (tan x) 2) -1/2) -1/2))))) eps) (pow (cos x) 2) (- (* 1 (/ 1 (tan x))) (* (/ 1 (+ (tan eps) (tan x))) (+ (* (neg (tan eps)) (tan x)) 1))) (/ 1 (tan (+ eps x))) (/ 1 (+ (tan eps) (tan x))))

simplify212.0ms (1.3%)

Memory

-17.5MiB live, 217.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1005	7899
1	3598	7481
0	9318	7213

Stop Event

1×	iter limit
1×	node limit

Counts

174 → 172

Calls

Call 1

Inputs
-1/2
(- (* -3/2 (pow x 2)) 1/2)
(- (* (pow x 2) (- (* -2 (pow x 2)) 3/2)) 1/2)
(- (* (pow x 2) (- (* (pow x 2) (- (* -19/10 (pow x 2)) 2)) 3/2)) 1/2)
1/3
(+ 1/3 (* 2/3 (* eps x)))
(+ 1/3 (* x (+ (* 2/3 eps) (* 4/3 x))))
(+ 1/3 (* x (+ (* 2/3 eps) (* x (+ 4/3 (* -1 (* x (- (* -14/9 eps) (* 1/3 eps)))))))))
(* -2/3 x)
(* x (- (* -8/9 (pow x 2)) 2/3))
(* x (- (* (pow x 2) (- (* -91/180 (pow x 2)) 8/9)) 2/3))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1039/3780 (pow x 2)) 91/180)) 8/9)) 2/3))
(* eps x)
(* x (+ eps x))
(* x (+ eps (* x (+ 1 (* x (+ eps (* -1/6 eps)))))))
(* x (+ eps (* x (+ 1 (* x (+ eps (+ (* -1/6 eps) (* 1/6 x))))))))
(- (/ (sin eps) (cos eps)) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (+ (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* x (- (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(/ (sin eps) (cos eps))
(+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* 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)))
(+ (* 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)))
eps
(+ eps x)
(/ (sin (PI)) (cos (PI)))
(+ (* x (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(+ (* x (- (+ 1 (/ (* x (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))))) (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI))))))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (+ (* x (+ (* -1 (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))) (+ (* 1/3 (/ (sin eps) (cos eps))) (+ (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)) (/ (* (sin eps) (- (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2)) 1/3)) (cos eps)))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(+ (* x (+ (* x (+ (* -1 (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))) (+ (* 1/3 (/ (sin eps) (cos eps))) (+ (* x (+ (* -1 (+ 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 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (+ (* 1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (- (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2)) 1/3)) (/ (* (sin eps) (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps)))) (cos eps))))))) (+ (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)) (/ (* (sin eps) (- (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2)) 1/3)) (cos eps))))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(+ eps (* eps (pow x 2)))
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (* -1/3 eps) (* -1 eps))))))
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (+ (* -1/3 eps) (* (pow x 2) (- (* 2/45 eps) (+ (* -1 (- (* -1/3 eps) (* -1 eps))) (* 1/3 eps))))) (* -1 eps))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(+ (* x (+ (* x (+ (* -1 (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))) (+ (* 1/3 (/ (sin eps) (cos eps))) (+ (/ (* (sin eps) (+ 2/3 (/ (pow (cos eps) 2) (pow (sin eps) 2)))) (cos eps)) (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(+ (* x (+ (* x (+ (* -1 (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))) (+ (* 1/3 (/ (sin eps) (cos eps))) (+ (* x (+ (* -1 (+ 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 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (+ (* 1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* (+ 2/3 (/ (pow (cos eps) 2) (pow (sin eps) 2))) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (* (sin eps) (- (* -1 (/ (pow (cos eps) 3) (pow (sin eps) 3))) (/ (cos eps) (sin eps)))) (cos eps))))))) (+ (/ (* (sin eps) (+ 2/3 (/ (pow (cos eps) 2) (pow (sin eps) 2)))) (cos eps)) (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(/ 1 x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)
(/ (cos eps) (sin eps))
(+ (* -1 (* x (+ 1 (/ (pow (cos eps) 2) (pow (sin eps) 2))))) (/ (cos eps) (sin eps)))
(+ (* x (- (/ (* x (* (cos eps) (+ 1 (/ (pow (cos eps) 2) (pow (sin eps) 2))))) (sin eps)) (+ 1 (/ (pow (cos eps) 2) (pow (sin eps) 2))))) (/ (cos eps) (sin eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/3 (+ (* 1/3 (/ (pow (cos eps) 2) (pow (sin eps) 2))) (/ (* (pow (cos eps) 2) (+ 1 (/ (pow (cos eps) 2) (pow (sin eps) 2)))) (pow (sin eps) 2)))))) (* -1 (/ (* (cos eps) (+ 1 (/ (pow (cos eps) 2) (pow (sin eps) 2)))) (sin eps))))) (+ 1 (/ (pow (cos eps) 2) (pow (sin eps) 2))))) (/ (cos eps) (sin eps)))
(/ (cos eps) (* x (sin eps)))
(/ (+ (* -1 (/ (* x (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (pow (sin eps) 2))) (/ (cos eps) (sin eps))) x)
(/ (+ (* x (- (* -1 (* x (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (pow (cos eps) 2) (+ (* 1/3 (/ (sin eps) (cos eps))) (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))) (pow (sin eps) 2))))) (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2)))) (/ (cos eps) (sin eps))) x)
(/ (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (cos eps) (* (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (pow (cos eps) 2) (+ (* 1/3 (/ (sin eps) (cos eps))) (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))) (pow (sin eps) 2))) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (sin eps))) (+ (* -1 (/ (* (pow (cos eps) 3) (* (+ (* 1/3 (/ (sin eps) (cos eps))) (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (pow (sin eps) 3))) (/ (* (pow (cos eps) 2) (+ (* -1 (+ 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))))))) (* 1/3 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (pow (sin eps) 2)))))) (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (pow (cos eps) 2) (+ (* 1/3 (/ (sin eps) (cos eps))) (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))) (pow (sin eps) 2))))) (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2)))) (/ (cos eps) (sin eps))) x)
(+ 1/3 (* 4/3 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 4/3 (* 17/9 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/9 (* 248/135 (pow x 2)))))))
(* 1/3 eps)
(+ (* 1/3 eps) (* 2/3 (* (pow eps 2) x)))
(+ (* 1/3 eps) (* x (+ (* 2/3 (pow eps 2)) (* 4/3 (* eps x)))))
(+ (* 1/3 eps) (* x (+ (* 2/3 (pow eps 2)) (* x (+ (* -1 (* eps (* x (- (* -14/9 eps) (* 1/3 eps))))) (* 4/3 eps))))))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(/ (+ 1 (* -1 (/ (* x (cos eps)) (sin eps)))) x)
(/ (+ 1 (* x (- (* x (+ 2/3 (/ (pow (cos eps) 2) (pow (sin eps) 2)))) (/ (cos eps) (sin eps))))) x)
(/ (+ 1 (* x (- (* x (+ 2/3 (+ (* x (- (* -1 (/ (pow (cos eps) 3) (pow (sin eps) 3))) (/ (cos eps) (sin eps)))) (/ (pow (cos eps) 2) (pow (sin eps) 2))))) (/ (cos eps) (sin eps))))) x)
(+ (* -1 (/ (* x (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (pow (sin eps) 2))) (/ (cos eps) (sin eps)))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))))) (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2)))) (/ (cos eps) (sin eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (cos eps) (* (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (sin eps))) (+ (* -1 (/ (* (pow (cos eps) 2) (+ 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))))))) (pow (sin eps) 2))) (* -1 (/ (* (pow (cos eps) 2) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 2))))))) (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))))) (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2)))) (/ (cos eps) (sin eps)))
(+ (* -1 (/ (* x (pow (cos eps) 2)) (pow (sin eps) 2))) (/ (cos eps) (sin eps)))
(+ (* x (- (/ (* x (pow (cos eps) 3)) (pow (sin eps) 3)) (/ (pow (cos eps) 2) (pow (sin eps) 2)))) (/ (cos eps) (sin eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* 1/3 (/ (pow (cos eps) 2) (pow (sin eps) 2))) (/ (pow (cos eps) 4) (pow (sin eps) 4))))) (* -1 (/ (pow (cos eps) 3) (pow (sin eps) 3))))) (/ (pow (cos eps) 2) (pow (sin eps) 2)))) (/ (cos eps) (sin eps)))
(- (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
(- (+ 1/3 (* -1 (/ (* eps (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 3) (pow (cos x) 2))) (* -2/3 (sin x))))) (cos x)))) (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(+ (* -1 (/ (pow (sin x) 3) (pow (cos x) 2))) (* -2/3 (sin x)))
(+ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (/ (pow (sin x) 2) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(/ (sin (+ eps x)) (cos (+ eps x)))
x
(* x (+ 1 (/ eps x)))
(/ (sin (+ x (PI))) (cos (+ x (PI))))
(/ (* (sin x) (* (sin (+ eps x)) (- (/ (cos x) (sin x)) (/ (cos (+ eps x)) (sin (+ eps x)))))) (* (cos x) (cos (+ eps x))))
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(pow (sin x) 2)
(/ (* (sin x) (* (sin (+ eps x)) (- (/ (cos x) (sin x)) (+ (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))))) (/ 1 (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))))))) (* (cos x) (cos (+ eps x))))
(/ (cos x) (sin x))
(/ (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(/ (* (cos x) (cos (+ eps x))) (* (sin x) (sin (+ eps x))))
(- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* eps (- (+ 1/3 (* -1 (/ (* eps (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 3) (pow (cos x) 2))) (* -2/3 (sin x))))) (cos x)))) (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
(pow (cos x) 2)
(- (/ (cos x) (sin x)) (+ (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))))) (/ 1 (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))))
(/ (cos (+ eps x)) (sin (+ eps x)))
(/ 1 (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x)))))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x))))
(/ (* (sin x) (* (sin (- eps (* -1 x))) (- (/ (cos x) (sin x)) (/ (cos (- eps (* -1 x))) (sin (- eps (* -1 x))))))) (* (cos x) (cos (- eps (* -1 x)))))
(/ (* (sin x) (* (sin (- eps (* -1 x))) (- (/ (cos x) (sin x)) (+ (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))))) (/ 1 (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))))))) (* (cos x) (cos (- eps (* -1 x)))))
(/ (* (cos x) (cos (- eps (* -1 x)))) (* (sin x) (sin (- eps (* -1 x)))))
(/ (cos (- eps (* -1 x))) (sin (- eps (* -1 x))))
(/ (pow (sin x) 2) (cos x))
(+ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (pow (sin x) 2) (cos x)))
(- (/ (sin x) (cos x)) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(/ (sin x) (cos x))
(+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* 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)))
(+ (* 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)))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (/ (* eps (* (sin x) (+ (/ (* (sin x) (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x)))) (cos x)) (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (+ (/ (* eps (* (sin x) (+ (* (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+ (/ (* (cos x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (sin x)) (/ (* (sin x) (+ (* -1 (/ (* (cos x) (* (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin x))) (+ (* -1 (/ (* (pow (cos x) 2) (+ 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))))))) (pow (sin x) 2))) (* -1 (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2)))))) (cos x)))))) (cos x)) (/ (* (sin x) (+ (/ (* (sin x) (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x)))) (cos x)) (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2)))) (cos x))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (+ (* eps (+ (/ (* eps (* (sin x) (+ (* -1 (/ (* (pow (cos x) 2) (* (+ 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 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow (sin x) 2))) (+ (* (+ (* -1 (/ (* (cos x) (* (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin x))) (+ (* -1 (/ (* (pow (cos x) 2) (+ 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))))))) (pow (sin x) 2))) (* -1 (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2))))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+ (/ (* (sin x) (* (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (/ (* (sin x) (+ (* -1 (* (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (* -1 (/ (* (cos x) (* (+ (* -1 (/ (* (cos x) (* (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin x))) (+ (* -1 (/ (* (pow (cos x) 2) (+ 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))))))) (pow (sin x) 2))) (* -1 (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2))))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin x))) (+ (* -1 (/ (* (pow (cos x) 2) (+ (* -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))))) (pow (sin x) 2))) (/ (* (pow (cos x) 3) (* (+ 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 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow (sin x) 3)))))) (cos x))))))) (cos x)) (/ (* (sin x) (+ (* (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+ (/ (* (cos x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (sin x)) (/ (* (sin x) (+ (* -1 (/ (* (cos x) (* (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin x))) (+ (* -1 (/ (* (pow (cos x) 2) (+ 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))))))) (pow (sin x) 2))) (* -1 (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2)))))) (cos x))))) (cos x)))) (/ (* (sin x) (+ (/ (* (sin x) (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x)))) (cos x)) (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2)))) (cos x))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (* 1/3 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(* eps (+ 1 (* -1/6 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(+ 1 (* -1/2 (pow eps 2)))
(+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (* eps (* (pow (sin x) 2) (+ 1 (/ (pow (cos x) 2) (pow (sin x) 2))))) (pow (cos x) 2))
(* eps (+ (/ (* eps (* (sin x) (+ (* (+ 1 (/ (pow (cos x) 2) (pow (sin x) 2))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (sin x) (- (* -1 (/ (pow (cos x) 3) (pow (sin x) 3))) (/ (cos x) (sin x)))) (cos x))))) (cos x)) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (cos x) 2) (pow (sin x) 2)))) (pow (cos x) 2))))
(* eps (+ (* eps (+ (/ (* eps (* (sin x) (+ (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* -1 (/ (pow (cos x) 3) (pow (sin x) 3))) (/ (cos x) (sin x)))) (+ (/ (* (sin x) (* (+ 1 (/ (pow (cos x) 2) (pow (sin x) 2))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (/ (* (sin x) (- (+ (* 1/3 (/ (pow (cos x) 2) (pow (sin x) 2))) (/ (pow (cos x) 4) (pow (sin x) 4))) (* -1 (- 1/3 (* -1 (/ (pow (cos x) 2) (pow (sin x) 2))))))) (cos x)))))) (cos x)) (/ (* (sin x) (+ (* (+ 1 (/ (pow (cos x) 2) (pow (sin x) 2))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (sin x) (- (* -1 (/ (pow (cos x) 3) (pow (sin x) 3))) (/ (cos x) (sin x)))) (cos x)))) (cos x)))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (cos x) 2) (pow (sin x) 2)))) (pow (cos x) 2))))
(* eps (+ (* eps (+ (* eps (+ (/ (* eps (* (sin x) (+ (* -1 (* (+ 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 (/ (pow (cos x) 2) (pow (sin x) 2))))) (+ (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (+ (* 1/3 (/ (pow (cos x) 2) (pow (sin x) 2))) (/ (pow (cos x) 4) (pow (sin x) 4))) (* -1 (- 1/3 (* -1 (/ (pow (cos x) 2) (pow (sin x) 2))))))) (+ (/ (* (sin x) (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* -1 (/ (pow (cos x) 3) (pow (sin x) 3))) (/ (cos x) (sin x))))) (cos x)) (/ (* (sin x) (- (+ (* -1 (/ (* (cos x) (+ (* 1/3 (/ (pow (cos x) 2) (pow (sin x) 2))) (/ (pow (cos x) 4) (pow (sin x) 4)))) (sin x))) (* -1/3 (/ (pow (cos x) 3) (pow (sin x) 3)))) (+ (* 1/3 (/ (cos x) (sin x))) (/ (* (cos x) (- 1/3 (* -1 (/ (pow (cos x) 2) (pow (sin x) 2))))) (sin x))))) (cos x))))))) (cos x)) (/ (* (sin x) (+ (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* -1 (/ (pow (cos x) 3) (pow (sin x) 3))) (/ (cos x) (sin x)))) (+ (/ (* (sin x) (* (+ 1 (/ (pow (cos x) 2) (pow (sin x) 2))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (/ (* (sin x) (- (+ (* 1/3 (/ (pow (cos x) 2) (pow (sin x) 2))) (/ (pow (cos x) 4) (pow (sin x) 4))) (* -1 (- 1/3 (* -1 (/ (pow (cos x) 2) (pow (sin x) 2))))))) (cos x))))) (cos x)))) (/ (* (sin x) (+ (* (+ 1 (/ (pow (cos x) 2) (pow (sin x) 2))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (sin x) (- (* -1 (/ (pow (cos x) 3) (pow (sin x) 3))) (/ (cos x) (sin x)))) (cos x)))) (cos x)))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (cos x) 2) (pow (sin x) 2)))) (pow (cos x) 2))))
(+ (* -1 (* eps (+ 1 (/ (pow (cos x) 2) (pow (sin x) 2))))) (/ (cos x) (sin x)))
(+ (* eps (- (/ (* eps (* (cos x) (+ 1 (/ (pow (cos x) 2) (pow (sin x) 2))))) (sin x)) (+ 1 (/ (pow (cos x) 2) (pow (sin x) 2))))) (/ (cos x) (sin x)))
(+ (* eps (- (* eps (- (* -1 (* eps (+ 1/3 (+ (* 1/3 (/ (pow (cos x) 2) (pow (sin x) 2))) (/ (* (pow (cos x) 2) (+ 1 (/ (pow (cos x) 2) (pow (sin x) 2)))) (pow (sin x) 2)))))) (* -1 (/ (* (cos x) (+ 1 (/ (pow (cos x) 2) (pow (sin x) 2)))) (sin x))))) (+ 1 (/ (pow (cos x) 2) (pow (sin x) 2))))) (/ (cos x) (sin x)))
(/ (pow (cos x) 2) (pow (sin x) 2))
(+ (* -1 (/ (* eps (* (pow (cos x) 3) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow (sin x) 3))) (/ (pow (cos x) 2) (pow (sin x) 2)))
(+ (* eps (- (* -1 (* eps (+ (* -1 (/ (* (pow (cos x) 4) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 4))) (/ (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 2))))) (/ (* (pow (cos x) 3) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 3)))) (/ (pow (cos x) 2) (pow (sin x) 2)))
(+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (* (cos x) (* (+ (* -1 (/ (* (pow (cos x) 4) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 4))) (/ (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 2))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin x))) (+ (* -1 (/ (* (pow (cos x) 3) (+ 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))))))) (pow (sin x) 3))) (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))))))) (+ (* -1 (/ (* (pow (cos x) 4) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 4))) (/ (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 2))))) (/ (* (pow (cos x) 3) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 3)))) (/ (pow (cos x) 2) (pow (sin x) 2)))
(* eps (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
(* eps (+ 1 (/ (pow (cos x) 2) (pow (sin x) 2))))
(* eps (+ 1 (+ (* eps (- (* -1 (/ (pow (cos x) 3) (pow (sin x) 3))) (/ (cos x) (sin x)))) (/ (pow (cos x) 2) (pow (sin x) 2)))))
(* eps (+ 1 (+ (* eps (- (+ (* -1 (/ (pow (cos x) 3) (pow (sin x) 3))) (* eps (- (+ (* 1/3 (/ (pow (cos x) 2) (pow (sin x) 2))) (/ (pow (cos x) 4) (pow (sin x) 4))) (* -1 (- 1/3 (* -1 (/ (pow (cos x) 2) (pow (sin x) 2)))))))) (/ (cos x) (sin x)))) (/ (pow (cos x) 2) (pow (sin x) 2)))))
(* eps (+ 1 (+ (* eps (- (+ (* -1 (/ (pow (cos x) 3) (pow (sin x) 3))) (* eps (- (+ (* 1/3 (/ (pow (cos x) 2) (pow (sin x) 2))) (+ (* eps (- (+ (* -1 (/ (* (cos x) (+ (* 1/3 (/ (pow (cos x) 2) (pow (sin x) 2))) (/ (pow (cos x) 4) (pow (sin x) 4)))) (sin x))) (* -1/3 (/ (pow (cos x) 3) (pow (sin x) 3)))) (+ (* 1/3 (/ (cos x) (sin x))) (/ (* (cos x) (- 1/3 (* -1 (/ (pow (cos x) 2) (pow (sin x) 2))))) (sin x))))) (/ (pow (cos x) 4) (pow (sin x) 4)))) (* -1 (- 1/3 (* -1 (/ (pow (cos x) 2) (pow (sin x) 2)))))))) (/ (cos x) (sin x)))) (/ (pow (cos x) 2) (pow (sin x) 2)))))
(+ (* -1 (/ (* eps (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow (sin x) 2))) (/ (cos x) (sin x)))
(+ (* eps (- (* -1 (* eps (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))))) (/ (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 2)))) (/ (cos x) (sin x)))
(+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (* (cos x) (* (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin x))) (+ (* -1 (/ (* (pow (cos x) 2) (+ 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))))))) (pow (sin x) 2))) (* -1 (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2))))))) (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))))) (/ (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 2)))) (/ (cos x) (sin x)))
(+ (* -1 (/ (* eps (pow (cos x) 2)) (pow (sin x) 2))) (/ (cos x) (sin x)))
(+ (* eps (- (/ (* eps (pow (cos x) 3)) (pow (sin x) 3)) (/ (pow (cos x) 2) (pow (sin x) 2)))) (/ (cos x) (sin x)))
(+ (* eps (- (* eps (- (* -1 (* eps (+ (* 1/3 (/ (pow (cos x) 2) (pow (sin x) 2))) (/ (pow (cos x) 4) (pow (sin x) 4))))) (* -1 (/ (pow (cos x) 3) (pow (sin x) 3))))) (/ (pow (cos x) 2) (pow (sin x) 2)))) (/ (cos x) (sin x)))
(* -1 (/ (* eps (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 3) (pow (cos x) 2))) (* -2/3 (sin x))))) (cos x)))
(* eps (- (+ (* -1 (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 3) (pow (cos x) 2))) (* -2/3 (sin x)))) (cos x))) (* 1/3 (/ 1 eps))) (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2)))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))))
(* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (pow (sin x) 2) (* eps (cos x)))))
(* eps (+ 1 (/ x eps)))
(sin eps)
(cos eps)
(* -1 (/ (* (pow eps 2) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 3) (pow (cos x) 2))) (* -2/3 (sin x))))) (cos x)))
(* (pow eps 2) (- (+ (* -1 (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 3) (pow (cos x) 2))) (* -2/3 (sin x)))) (cos x))) (* 1/3 (/ 1 eps))) (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2)))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))))
(* -1 (* eps (+ (* -1 (/ (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) eps)) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 3) (pow (cos x) 2))) (* -2/3 (sin x)))) (cos x)))))
(* -1 (* eps (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))))
(* -1 (* eps (+ (* -1 (/ (pow (sin x) 2) (* eps (cos x)))) (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(/ (* (sin x) (* (sin (- x (* -1 eps))) (- (/ (cos x) (sin x)) (/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))))) (* (cos x) (cos (- x (* -1 eps)))))
(* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
(/ (* (sin x) (* (sin (- x (* -1 eps))) (- (/ (cos x) (sin x)) (+ (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))))) (/ 1 (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))))))) (* (cos x) (cos (- x (* -1 eps)))))
(/ (* (cos x) (cos (- x (* -1 eps)))) (* (sin x) (sin (- x (* -1 eps)))))
(/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* -3/2 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal -3/2 binary64) #s(literal -1/2 binary64))
(- (* (pow x 2) (- (* -2 (pow x 2)) 3/2)) 1/2)
(fma.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -3/2 binary64)) (.f64 x x) #s(literal -1/2 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -19/10 (pow x 2)) 2)) 3/2)) 1/2)
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(* eps (+ (* eps (+ (/ (* eps (* (sin x) (+ (* (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (- (* -1 (/ (pow (cos x) 3) (pow (sin x) 3))) (/ (cos x) (sin x)))) (+ (/ (* (sin x) (* (+ 1 (/ (pow (cos x) 2) (pow (sin x) 2))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (/ (* (sin x) (- (+ (* 1/3 (/ (pow (cos x) 2) (pow (sin x) 2))) (/ (pow (cos x) 4) (pow (sin x) 4))) (* -1 (- 1/3 (* -1 (/ (pow (cos x) 2) (pow (sin x) 2))))))) (cos x)))))) (cos x)) (/ (* (sin x) (+ (* (+ 1 (/ (pow (cos x) 2) (pow (sin x) 2))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (sin x) (- (* -1 (/ (pow (cos x) 3) (pow (sin x) 3))) (/ (cos x) (sin x)))) (cos x)))) (cos x)))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (cos x) 2) (pow (sin x) 2)))) (pow (cos x) 2))))
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(* eps (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
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(* eps (+ 1 (/ (pow (cos x) 2) (pow (sin x) 2))))
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(* eps (+ 1 (+ (* eps (- (* -1 (/ (pow (cos x) 3) (pow (sin x) 3))) (/ (cos x) (sin x)))) (/ (pow (cos x) 2) (pow (sin x) 2)))))
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(* eps (+ 1 (+ (* eps (- (+ (* -1 (/ (pow (cos x) 3) (pow (sin x) 3))) (* eps (- (+ (* 1/3 (/ (pow (cos x) 2) (pow (sin x) 2))) (/ (pow (cos x) 4) (pow (sin x) 4))) (* -1 (- 1/3 (* -1 (/ (pow (cos x) 2) (pow (sin x) 2)))))))) (/ (cos x) (sin x)))) (/ (pow (cos x) 2) (pow (sin x) 2)))))
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(* eps (+ 1 (+ (* eps (- (+ (* -1 (/ (pow (cos x) 3) (pow (sin x) 3))) (* eps (- (+ (* 1/3 (/ (pow (cos x) 2) (pow (sin x) 2))) (+ (* eps (- (+ (* -1 (/ (* (cos x) (+ (* 1/3 (/ (pow (cos x) 2) (pow (sin x) 2))) (/ (pow (cos x) 4) (pow (sin x) 4)))) (sin x))) (* -1/3 (/ (pow (cos x) 3) (pow (sin x) 3)))) (+ (* 1/3 (/ (cos x) (sin x))) (/ (* (cos x) (- 1/3 (* -1 (/ (pow (cos x) 2) (pow (sin x) 2))))) (sin x))))) (/ (pow (cos x) 4) (pow (sin x) 4)))) (* -1 (- 1/3 (* -1 (/ (pow (cos x) 2) (pow (sin x) 2)))))))) (/ (cos x) (sin x)))) (/ (pow (cos x) 2) (pow (sin x) 2)))))
(fma.f64 eps (fma.f64 (-.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64) (+.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) #s(literal 3 binary64)) #s(literal -1/3 binary64) (/.f64 (.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64) (/.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) (cos.f64 x)) (neg.f64 (sin.f64 x)))) (/.f64 (fma.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (cos.f64 x) (.f64 #s(literal 1/3 binary64) (cos.f64 x))) (sin.f64 x))) eps (/.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) (+.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) eps (pow.f64 (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)) #s(literal 3 binary64))) (/.f64 (cos.f64 x) (sin.f64 x))) eps (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) eps)
(+ (* -1 (/ (* eps (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow (sin x) 2))) (/ (cos x) (sin x)))
(fma.f64 (neg.f64 eps) (/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (cos.f64 x) (sin.f64 x)))
(+ (* eps (- (* -1 (* eps (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))))) (/ (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 2)))) (/ (cos x) (sin x)))
(fma.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 (pow.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x))) eps (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) eps (/.f64 (cos.f64 x) (sin.f64 x)))
(+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (* (cos x) (* (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin x))) (+ (* -1 (/ (* (pow (cos x) 2) (+ 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))))))) (pow (sin x) 2))) (* -1 (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2))))))) (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))))) (/ (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 2)))) (/ (cos x) (sin x)))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 (cos.f64 x)) (/.f64 (.f64 (fma.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 (pow.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 x)) (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))) (sin.f64 x)) (neg.f64 (/.f64 (fma.f64 (+.f64 (fma.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 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)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) #s(literal 1/6 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) eps (fma.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 (pow.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x))))) eps (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) eps (/.f64 (cos.f64 x) (sin.f64 x)))
(+ (* -1 (/ (* eps (pow (cos x) 2)) (pow (sin x) 2))) (/ (cos x) (sin x)))
(fma.f64 (neg.f64 eps) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (cos.f64 x) (sin.f64 x)))
(+ (* eps (- (/ (* eps (pow (cos x) 3)) (pow (sin x) 3)) (/ (pow (cos x) 2) (pow (sin x) 2)))) (/ (cos x) (sin x)))
(fma.f64 (fma.f64 eps (pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) #s(literal 3 binary64)) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) eps (/.f64 (cos.f64 x) (sin.f64 x)))
(+ (* eps (- (* eps (- (* -1 (* eps (+ (* 1/3 (/ (pow (cos x) 2) (pow (sin x) 2))) (/ (pow (cos x) 4) (pow (sin x) 4))))) (* -1 (/ (pow (cos x) 3) (pow (sin x) 3))))) (/ (pow (cos x) 2) (pow (sin x) 2)))) (/ (cos x) (sin x)))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64) (/.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) (neg.f64 eps) (pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) #s(literal 3 binary64))) eps (/.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) eps (/.f64 (cos.f64 x) (sin.f64 x)))
(* -1 (/ (* eps (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 3) (pow (cos x) 2))) (* -2/3 (sin x))))) (cos x)))
(/.f64 (.f64 (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps) (-.f64 (.f64 (sin.f64 x) #s(literal -2/3 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (neg.f64 (cos.f64 x)))
(* eps (- (+ (* -1 (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 3) (pow (cos x) 2))) (* -2/3 (sin x)))) (cos x))) (* 1/3 (/ 1 eps))) (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2)))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))))
(.f64 (-.f64 (fma.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 (.f64 (sin.f64 x) #s(literal -2/3 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (/.f64 #s(literal 1/3 binary64) eps)) (fma.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) 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)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64)))) eps)
(* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(*.f64 (fma.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) eps)
(* eps (+ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (pow (sin x) 2) (* eps (cos x)))))
(*.f64 (fma.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 x) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) (cos.f64 x))) eps)
(* eps (+ 1 (/ x eps)))
(fma.f64 eps (/.f64 x eps) eps)
(sin eps)
(sin.f64 eps)
(cos eps)
(cos.f64 eps)
(* -1 (/ (* (pow eps 2) (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 3) (pow (cos x) 2))) (* -2/3 (sin x))))) (cos x)))
(.f64 (.f64 (neg.f64 eps) 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)) (/.f64 (-.f64 (.f64 (sin.f64 x) #s(literal -2/3 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))
(* (pow eps 2) (- (+ (* -1 (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 3) (pow (cos x) 2))) (* -2/3 (sin x)))) (cos x))) (* 1/3 (/ 1 eps))) (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (pow (cos x) 2)))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))))
(.f64 (-.f64 (fma.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 (.f64 (sin.f64 x) #s(literal -2/3 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (/.f64 #s(literal 1/3 binary64) eps)) (fma.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) 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)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64)))) (.f64 eps eps))
(* -1 (* eps (+ (* -1 (/ (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) eps)) (/ (* (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 3) (pow (cos x) 2))) (* -2/3 (sin x)))) (cos x)))))
(.f64 (fma.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 (sin.f64 x) #s(literal -2/3 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (/.f64 (-.f64 #s(literal 1/3 binary64) (fma.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 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)) (pow.f64 (cos.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 -1/3 binary64)))) (neg.f64 eps))) (neg.f64 eps))
(* -1 (* eps (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))))
(.f64 (neg.f64 (.f64 eps (sin.f64 x))) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal -1 binary64)))
(* -1 (* eps (+ (* -1 (/ (pow (sin x) 2) (* eps (cos x)))) (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))))
(*.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal -1 binary64)) (sin.f64 x) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) (neg.f64 (cos.f64 x)))) (neg.f64 eps))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(fma.f64 (neg.f64 eps) (/.f64 (neg.f64 x) eps) eps)
(/ (* (sin x) (* (sin (- x (* -1 eps))) (- (/ (cos x) (sin x)) (/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))))) (* (cos x) (cos (- x (* -1 eps)))))
(/.f64 (.f64 (.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x))))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
(fma.f64 (neg.f64 eps) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
(/ (* (sin x) (* (sin (- x (* -1 eps))) (- (/ (cos x) (sin x)) (+ (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))))) (/ 1 (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))))))) (* (cos x) (cos (- x (* -1 eps)))))
(.f64 (/.f64 (.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (/.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (cos.f64 x)))
(/ (* (cos x) (cos (- x (* -1 eps)))) (* (sin x) (sin (- x (* -1 eps)))))
(*.f64 (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 (+.f64 eps x))))
(/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))
(/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x)))

rewrite232.0ms (1.4%)

Memory

20.2MiB live, 213.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	69	422
0	125	399
1	613	306
2	6048	306
0	8572	306

Stop Event

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

Counts

26 → 717

Calls

Call 1

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

Outputs
(.f64 (-.f64 (pow.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (-.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (pow.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))) #s(literal 1/4 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) #s(literal 2 binary64))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (-.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (pow.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (-.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (pow.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (-.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (-.f64 (pow.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (pow.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) #s(literal 3 binary64)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (tan.f64 x))) (neg.f64 (tan.f64 x)) (+.f64 #s(literal -1/2 binary64) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 (tan.f64 x))) (fabs.f64 (tan.f64 x)) (+.f64 #s(literal -1/2 binary64) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (tan.f64 x)) (tan.f64 x) (+.f64 #s(literal -1/2 binary64) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(fma.f64 (*.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (neg.f64 (tan.f64 x))) (neg.f64 (tan.f64 x)) (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fabs.f64 (tan.f64 x))) (fabs.f64 (tan.f64 x)) (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (tan.f64 x)) (tan.f64 x) (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
(fma.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64))))) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
(fma.f64 (neg.f64 (tan.f64 x)) (*.f64 (neg.f64 (tan.f64 x)) #s(literal -1/2 binary64)) (+.f64 #s(literal -1/2 binary64) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(fma.f64 (neg.f64 (tan.f64 x)) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (fabs.f64 (tan.f64 x)) (*.f64 (fabs.f64 (tan.f64 x)) #s(literal -1/2 binary64)) (+.f64 #s(literal -1/2 binary64) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(fma.f64 (fabs.f64 (tan.f64 x)) (*.f64 (fabs.f64 (tan.f64 x)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1/2 binary64) (neg.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
(fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
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(-.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x)) (+.f64 (tan.f64 eps) (tan.f64 x)))) (pow.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) #s(literal -1 binary64)))
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(*.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) (pow.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) #s(literal -1 binary64)))
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(*.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal -1 binary64)) #s(literal 1 binary64))
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(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (fma.f64 (tan.f64 x) (-.f64 (tan.f64 x) (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x)) (+.f64 (tan.f64 eps) (tan.f64 x))))
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(tan.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (+.f64 eps x))) (PI.f64)))
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(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (tan.f64 eps) (tan.f64 x))))
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eval301.0ms (1.9%)

Memory: -24.0MiB live, 295.5MiB allocated
Compiler: Compiled 69 352 to 5 524 computations (92% saved)

prune94.0ms (0.6%)

Memory

-1.7MiB live, 138.4MiB allocated

Pruning

50 alts after pruning (45 fresh and 5 done)

	Pruned	Kept	Total
New	960	20	980
Fresh	8	25	33
Picked	5	0	5
Done	1	5	6
Total	974	50	1 024

Accuracy

100.0%

Counts

1 024 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.0%	(fma.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 2 binary64)))) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal 1 binary64)) (neg.f64 (tan.f64 x)))
	63.7%	(fma.f64 (sin.f64 (+.f64 eps x)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) (neg.f64 (tan.f64 x)))
	63.7%	(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 eps x)))
	63.9%	(fma.f64 (neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x))))) (neg.f64 (tan.f64 x)))
	64.0%	(fma.f64 (neg.f64 (tan.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))) (fma.f64 #s(approx (tan x) (tan.f64 x)) #s(literal -1 binary64) (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))))
	62.8%	(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x)))
	63.9%	(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x)) (.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) (sin.f64 x))) (*.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) (cos.f64 x)))
	38.2%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) (tan.f64 x))) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
	36.6%	(/.f64 (-.f64 #s(approx (* 1 (/ 1 (tan x))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) x)) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
	30.2%	(/.f64 #s(approx (- (* 1 (/ 1 (tan x))) (* (/ 1 (+ (tan eps) (tan x))) (+ (* (neg (tan eps)) (tan x)) 1))) (fma.f64 eps (fma.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)) #s(literal 3 binary64)) (/.f64 (cos.f64 x) (sin.f64 x))) eps (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) eps)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
	32.7%	(/.f64 #s(approx (- (* 1 (/ 1 (tan x))) (* (/ 1 (+ (tan eps) (tan x))) (+ (* (neg (tan eps)) (tan x)) 1))) (fma.f64 eps (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) eps)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
	64.0%	(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x)))) (tan.f64 x))
	64.0%	(-.f64 (+.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 eps) (tan.f64 x)))) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 eps) (tan.f64 x))))) (tan.f64 x))
	7.5%	(-.f64 (*.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (+.f64 (PI.f64) x) eps)))) (tan.f64 (+.f64 (PI.f64) x)))
✓	39.7%	(-.f64 (tan.f64 (-.f64 (/.f64 (.f64 x x) (-.f64 x eps)) (/.f64 (.f64 eps eps) (-.f64 x eps)))) (tan.f64 x))
	38.5%	(-.f64 (tan.f64 (-.f64 (/.f64 (.f64 x x) (-.f64 x eps)) (/.f64 (.f64 eps 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)))
	38.4%	(-.f64 (tan.f64 (-.f64 (/.f64 (.f64 x x) (-.f64 x eps)) (/.f64 (.f64 eps eps) (-.f64 x eps)))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
	4.4%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (+.f64 eps (PI.f64)))) (tan.f64 x))
	63.7%	(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
✓	7.6%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
✓	63.7%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	62.3%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x)))
	98.5%	(+.f64 (fma.f64 #s(literal -1 binary64) (tan.f64 x) (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 eps) (tan.f64 x))))) #s(approx (/ (tan eps) (- 1 ( (tan eps) (tan x)))) (fma.f64 (/.f64 (*.f64 (sin.f64 x) eps) (cos.f64 x)) eps eps)))
	98.5%	(+.f64 (fma.f64 #s(literal -1 binary64) #s(approx (tan x) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 eps) (tan.f64 x))))) #s(approx (/ (tan eps) (- 1 ( (tan eps) (tan x)))) (fma.f64 eps (/.f64 (*.f64 (sin.f64 x) eps) (cos.f64 x)) eps)))
	98.9%	(+.f64 #s(approx (+ (* -1 (tan x)) (/ (tan x) (- 1 (* (tan eps) (tan x))))) (+.f64 #s(literal 0 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 eps) (tan.f64 x)))))
	98.7%	#s(approx (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1)) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x)))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
	98.7%	#s(approx (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1)) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x)))) (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) x)) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) x))) #s(literal 2 binary64))) eps))
	98.7%	#s(approx (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1)) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x)))) (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 x))))))) eps))
	98.7%	#s(approx (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1)) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x)))) (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64))))))) eps))
	98.7%	#s(approx (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1)) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x)))) (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) x)))))) eps))
	98.7%	#s(approx (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1)) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x)))) (fma.f64 eps (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps))
	98.7%	#s(approx (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1)) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x)))) (fma.f64 eps (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) x))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps))
	98.7%	#s(approx (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1)) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x)))) (fma.f64 eps (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x)) eps))
	97.8%	#s(approx (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1)) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x)))) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) eps))
	97.8%	#s(approx (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1)) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x)))) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))) eps))
	97.8%	#s(approx (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1)) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x)))) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) eps))
	97.7%	#s(approx (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1)) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x)))) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (*.f64 x x)) eps))
	97.1%	#s(approx (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1)) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 eps))))
	3.6%	#s(approx (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1)) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x)))) (tan.f64 (+.f64 (PI.f64) eps)))
	97.4%	#s(approx (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1)) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x)))) #s(approx (/ (sin eps) (cos eps)) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps)))
	99.5%	#s(approx (- (tan (- (/ (* x x) (- x eps)) (/ (* eps eps) (- x eps)))) (tan x)) (*.f64 (+.f64 (fma.f64 eps (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps))
✓	5.3%	#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) #s(literal 0 binary64))
	99.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (sin.f64 x) #s(literal -2/3 binary64) (*.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x)))) (cos.f64 x)) (neg.f64 eps) (-.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))))) eps) eps (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (cos.f64 x))) eps eps))
	99.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (sin.f64 x) #s(literal -2/3 binary64) (.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x)))) (cos.f64 x)) (neg.f64 eps) (-.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))))) eps) eps (/.f64 (fma.f64 (fma.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps) (sin.f64 x) (.f64 (sin.f64 x) (tan.f64 x))) (cos.f64 x))) eps eps))
	99.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (.f64 (fma.f64 (/.f64 #s(approx (+ ( (* (sin x) (neg (pow (tan x) 2))) (+ (* (tan x) (tan x)) 1)) (+ (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)) (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)))) (*.f64 #s(literal -2/3 binary64) x)) (cos.f64 x)) (neg.f64 eps) (-.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))))) eps) eps (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x))) eps eps))
	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (.f64 #s(approx (+ ( (/ (+ (* (* (sin x) (neg (pow (tan x) 2))) (+ (* (tan x) (tan x)) 1)) (+ (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)) (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)))) (cos x)) (neg eps)) (- -1/6 (+ (* 1/6 (pow (tan x) 2)) (+ (* (neg (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (+ (* (pow (tan x) 2) -1/2) -1/2))))) #s(literal 1/3 binary64)) eps) eps (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x))) eps eps))
	99.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 #s(approx (* (+ (* (/ (+ (* (* (sin x) (neg (pow (tan x) 2))) (+ (* (tan x) (tan x)) 1)) (+ (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)) (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)))) (cos x)) (neg eps)) (- -1/6 (+ (* 1/6 (pow (tan x) 2)) (+ (* (neg (pow (tan x) 2)) (+ (* (tan x) (tan x)) 1)) (+ (* (pow (tan x) 2) -1/2) -1/2))))) eps) (.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)) eps (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x))) eps eps))
	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x)) eps eps))
	63.7%	#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
✓	63.7%	#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))

Compiler

Compiled 5 612 to 1 618 computations (71.2% saved)

regimes91.0ms (0.6%)

Memory

16.0MiB live, 54.4MiB allocated

Counts

82 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

44.0ms	eps
21.0ms	x
21.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes86.0ms (0.5%)

Memory

-0.6MiB live, 81.4MiB allocated

Counts

74 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

37.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
25.0ms	x
19.0ms	eps

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes68.0ms (0.4%)

Memory

5.7MiB live, 77.4MiB allocated

Counts

73 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

21.0ms	eps
20.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
19.0ms	x

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes121.0ms (0.7%)

Memory

-30.7MiB live, 58.0MiB allocated

Counts

72 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

50.0ms	x
49.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
19.0ms	eps

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes63.0ms (0.4%)

Memory

31.7MiB live, 103.0MiB allocated

Counts

68 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

21.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
21.0ms	x
18.0ms	eps

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes110.0ms (0.7%)

Memory

-30.0MiB live, 90.7MiB allocated

Counts

67 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

65.0ms	x
23.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
20.0ms	eps

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes60.0ms (0.4%)

Memory

31.2MiB live, 68.7MiB allocated

Counts

52 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

30.0ms	eps
14.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
14.0ms	x

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes58.0ms (0.4%)

Memory

-1.0MiB live, 82.9MiB allocated

Counts

46 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

24.0ms	eps
20.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
12.0ms	x

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes54.0ms (0.3%)

Memory

-4.0MiB live, 35.3MiB allocated

Counts

38 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

31.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
10.0ms	x
10.0ms	eps

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes37.0ms (0.2%)

Memory

-25.0MiB live, 59.4MiB allocated

Counts

35 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes31.0ms (0.2%)

Memory

25.3MiB live, 61.9MiB allocated

Counts

34 → 1

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	eps
9.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
9.0ms	x

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes27.0ms (0.2%)

Memory

-5.4MiB live, 33.4MiB allocated

Counts

29 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
8.0ms	eps
8.0ms	x

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes34.0ms (0.2%)

Memory

-21.9MiB live, 16.9MiB allocated

Counts

18 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

22.0ms	x
5.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
5.0ms	eps

Results

Accuracy	Segments	Branch
97.8%	1	`x`
97.8%	1	`eps`
97.8%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes7.0ms (0%)

Memory

8.4MiB live, 8.4MiB allocated

Counts

5 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.8%	1	`eps`
97.8%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
97.8%	1	`x`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes6.0ms (0%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

4 → 1

Calls

Call 1

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

Outputs

#s(approx (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1)) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x)))) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) 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
97.8%	1	`x`
97.8%	1	`eps`
97.8%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes5.0ms (0%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) #s(literal 0 binary64))

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

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) #s(literal 0 binary64))

Outputs
#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) #s(literal 0 binary64))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
5.3%	1	`x`
5.3%	1	`eps`
5.3%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify79.0ms (0.5%)

Memory

-7.1MiB live, 74.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	215	986
1	456	957
2	1495	788
3	7486	784

Stop Event

1×	node limit

Calls

Call 1

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

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

soundness1.8s (10.9%)

Memory

28.9MiB live, 1 051.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	422
0	125	399
1	613	306
2	6048	306
0	8572	306
0	68	562
0	131	480
1	657	357
2	6555	357
0	8128	354
0	1005	7899
1	3598	7481
0	9318	7213
0	6	16
0	10	16
1	55	16
2	509	16
0	8357	16
0	157	966
1	518	897
2	2004	844
0	8109	790
0	990	5433
1	3428	5012
0	9243	4754
0	67	462
0	124	388
1	651	298
2	6613	298
0	8364	295
0	1039	8830
1	3694	8049
0	9852	7790

Stop Event

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

Compiler

Compiled 1 560 to 616 computations (60.5% saved)

preprocess134.0ms (0.8%)

Memory: -28.5MiB live, 252.2MiB allocated
Compiler: Compiled 1 792 to 438 computations (75.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze39.0ms (0.2%)

sample7.1s (44%)

explain115.0ms (0.7%)

preprocess279.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify231.0ms (1.4%)

localize25.0ms (0.2%)

series11.0ms (0.1%)

simplify176.0ms (1.1%)

rewrite177.0ms (1.1%)

eval34.0ms (0.2%)

prune21.0ms (0.1%)

simplify216.0ms (1.3%)

localize558.0ms (3.4%)

series114.0ms (0.7%)

simplify186.0ms (1.1%)

rewrite248.0ms (1.5%)

eval258.0ms (1.6%)

prune121.0ms (0.7%)

simplify182.0ms (1.1%)

localize641.0ms (4%)

series97.0ms (0.6%)

simplify191.0ms (1.2%)

rewrite241.0ms (1.5%)

eval176.0ms (1.1%)

prune52.0ms (0.3%)

simplify141.0ms (0.9%)

localize772.0ms (4.8%)

series84.0ms (0.5%)

simplify212.0ms (1.3%)

rewrite232.0ms (1.4%)

eval301.0ms (1.9%)

prune94.0ms (0.6%)

regimes91.0ms (0.6%)

regimes86.0ms (0.5%)

regimes68.0ms (0.4%)

regimes121.0ms (0.7%)

regimes63.0ms (0.4%)

regimes110.0ms (0.7%)

regimes60.0ms (0.4%)

regimes58.0ms (0.4%)

regimes54.0ms (0.3%)

regimes37.0ms (0.2%)

regimes31.0ms (0.2%)

regimes27.0ms (0.2%)

regimes34.0ms (0.2%)

regimes7.0ms (0%)

regimes6.0ms (0%)

regimes5.0ms (0%)

regimes4.0ms (0%)

simplify79.0ms (0.5%)

soundness1.8s (10.9%)

preprocess134.0ms (0.8%)

end0.0ms (0%)

Profiling