Metrics for 2tan (problem 3.3.2)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze65.0ms (0.4%)

Memory

-26.3MiB live, 75.3MiB 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)

sample6.7s (46.1%)

Memory

-28.2MiB live, 6 995.2MiB allocated

Samples

3.3s	27 137×	0	invalid
667.0ms	2 821×	1	valid
619.0ms	5 435×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.3s

const: 752.0ms (22.6% of total)

ival-tan: 615.0ms (18.5% of total)

ival-<=: 341.0ms (10.3% of total)

ival-mult: 333.0ms (10% of total)

ival-add: 317.0ms (9.5% of total)

ival-sub: 304.0ms (9.1% of total)

ival-fabs: 207.0ms (6.2% of total)

ival-<: 193.0ms (5.8% of total)

ival-and: 108.0ms (3.3% of total)

adjust: 92.0ms (2.8% of total)

exact: 47.0ms (1.4% of total)

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

Bogosity

explain98.0ms (0.7%)

Memory

-23.5MiB live, 170.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
232	2	(-4.980978025904588e-91 2.2986925478638796e-93)	5	(4.095006638341071e-84 1.047488285263855e-85)	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
3	0	-	3	(74.40313793797935 2.0738085490496694e-9)	`(tan.f64 (+.f64 x eps))`
0	0	-	0	-	`eps`
0	0	-	0	-	`(+.f64 x eps)`
0	0	-	0	-	`(tan.f64 x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`	cancellation	229	6

Confusion

	Predicted +	Predicted -
+	227	5
-	2	22

Precision

0.9912663755458515

Recall

0.978448275862069

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	227	5	0
-	2	1	21

Precision?

0.9872340425531915

Recall?

1.0

Freqs

test

number	freq
0	27
1	229

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

21.0ms	162×	1	valid
18.0ms	346×	0	valid
7.0ms	4×	3	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-tan: 19.0ms (62.9% of total)

adjust: 4.0ms (13.2% of total)

ival-add: 3.0ms (9.9% of total)

ival-sub: 3.0ms (9.9% of total)

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

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

preprocess321.0ms (2.2%)

Memory

28.4MiB live, 258.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	43
1	35	43
2	62	43
3	109	43
4	184	43
5	328	43
6	654	43
7	1492	43
8	3439	43
9	4340	43
10	6665	43
11	7416	43
12	7872	43
0	6	7
0	10	7
1	16	7
2	25	7
3	41	7
4	66	7
5	117	7
6	211	7
7	474	7
8	1311	7
9	2274	7
10	3303	7
11	3588	7
12	3771	7
13	3850	7
14	3868	7
15	3874	7
16	3880	7
17	3886	7
18	3892	7
19	3898	7
20	3904	7
21	3910	7
22	3916	7
23	3922	7
24	3928	7
25	7779	7
0	8041	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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify246.0ms (1.7%)

Memory

-0.0MiB live, 153.2MiB 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	16	18
2	25	18
3	41	18
4	66	18
5	117	18
6	211	18
7	474	18
8	1311	18
9	2274	18
10	3303	18
11	3588	18
12	3771	18
13	3850	18
14	3868	18
15	3874	18
16	3880	18
17	3886	18
18	3892	18
19	3898	18
20	3904	18
21	3910	18
22	3916	18
23	3922	18
24	3928	18
25	7779	18
0	8041	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)

localize47.0ms (0.3%)

Memory

-15.7MiB live, 30.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x eps)
accuracy	0.0	(tan.f64 x)
accuracy	0.09532868624875306	(tan.f64 (+.f64 x eps))
accuracy	23.84570952002273	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Samples

29.0ms	81×	1	valid
9.0ms	173×	0	valid
4.0ms	2×	3	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-tan: 8.0ms (60.7% of total)

adjust: 2.0ms (15.2% of total)

ival-add: 2.0ms (15.2% of total)

ival-sub: 1.0ms (7.6% of total)

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

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

series11.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB 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))
2.0ms	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))

simplify324.0ms (2.2%)

Memory

20.7MiB live, 201.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	970
1	488	910
2	1845	849
0	8454	797

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

rewrite609.0ms (4.2%)

Memory

-38.4MiB live, 247.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	10	16
1	53	16
2	440	16
3	6608	16
0	8588	16

Stop Event

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

Counts

4 → 158

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

eval24.0ms (0.2%)

Memory: 34.6MiB live, 34.6MiB allocated
Compiler: Compiled 5 935 to 840 computations (85.8% saved)

prune43.0ms (0.3%)

Memory

-5.1MiB live, 40.5MiB allocated

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	162	21	183
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	162	22	184

Accuracy

100.0%

Counts

184 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.7%	(fma.f64 (/.f64 (tan.f64 x) (-.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 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x)))
▶	62.7%	(/.f64 (/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (sin.f64 x))) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (cos.f64 x))
	26.5%	(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64))))
	26.3%	(/.f64 (-.f64 (.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))) (.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))
	62.7%	(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 x)))) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (tan.f64 x)))) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x)))))
	62.7%	(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (sin.f64 x))) (*.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
	62.6%	(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	62.7%	(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x))
	62.4%	(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (tan.f64 x))
	5.0%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) eps)) (tan.f64 x))
▶	5.1%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
	62.5%	(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
	8.0%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))))
✓	62.5%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶	25.1%	(-.f64 (tan.f64 (.f64 (/.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 eps (+.f64 eps x) (*.f64 x x)))) (tan.f64 x))
	61.9%	(-.f64 (tan.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps))) (tan.f64 x))
▶	62.0%	(-.f64 (tan.f64 #s(approx (+ x eps) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))) (tan.f64 x))
	99.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) #s(literal -1/6 binary64)) eps) eps (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x))) eps eps))
▶	99.7%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 (neg.f64 eps) (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) (sin.f64 x)) #s(literal -1/3 binary64) (fma.f64 (.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (sin.f64 x) (.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 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/6 binary64)))) eps) eps (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x))) eps eps))
	99.2%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x)) eps eps))
	98.4%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps))
	96.4%	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))

Compiler

Compiled 1 315 to 630 computations (52.1% saved)

simplify220.0ms (1.5%)

Memory

3.8MiB live, 334.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x))
cost-diff	0	(/.f64 (/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (sin.f64 x))) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (cos.f64 x))
cost-diff	2	(-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (sin.f64 x)))
cost-diff	6	(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (sin.f64 x))) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)))
cost-diff	0	(/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
cost-diff	0	(.f64 (/.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 eps (+.f64 eps x) (*.f64 x x)))
cost-diff	0	(tan.f64 (.f64 (/.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 eps (+.f64 eps x) (*.f64 x x))))
cost-diff	0	(-.f64 (tan.f64 (.f64 (/.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 eps (+.f64 eps x) (*.f64 x x)))) (tan.f64 x))
cost-diff	0	(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64)))
cost-diff	0	#s(approx (+ x eps) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
cost-diff	0	(tan.f64 #s(approx (+ x eps) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64)))))
cost-diff	0	(-.f64 (tan.f64 #s(approx (+ x eps) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))) (tan.f64 x))
cost-diff	0	(+.f64 (PI.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 x))
cost-diff	2	(tan.f64 (+.f64 (+.f64 (PI.f64) x) eps))
cost-diff	4	(fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/6 binary64)))
cost-diff	6	(fma.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)))
cost-diff	6	(fma.f64 (.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (sin.f64 x) (.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	10	(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 (.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (sin.f64 x) (.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	79	1545
0	155	1545
1	307	1449
2	885	1291
3	4285	1249
0	8248	1230

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

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

localize723.0ms (5%)

Memory

20.6MiB live, 1 175.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(/.f64 (/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (sin.f64 x))) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (cos.f64 x))
accuracy	0.01953125	(*.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x))
accuracy	0.0234375	(*.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (sin.f64 x))
accuracy	23.82524446313529	(-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (sin.f64 x)))
accuracy	0.13671875	(fma.f64 eps (+.f64 eps x) (*.f64 x x))
accuracy	23.835612010254287	(-.f64 (tan.f64 (.f64 (/.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 eps (+.f64 eps x) (*.f64 x x)))) (tan.f64 x))
accuracy	25.14888960690552	(.f64 (/.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 eps (+.f64 eps x) (*.f64 x x)))
accuracy	34.99652787023793	(/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
accuracy	0.017910009768442016	(-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))
accuracy	0.08751618624875306	(tan.f64 #s(approx (+ x eps) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64)))))
accuracy	0.234375	(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64)))
accuracy	23.835612010254287	(-.f64 (tan.f64 #s(approx (+ x eps) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))) (tan.f64 x))
accuracy	0.04296875	(+.f64 (PI.f64) x)
accuracy	0.4843632076963094	(PI.f64)
accuracy	23.835612010254287	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
accuracy	57.125864972461535	(tan.f64 (+.f64 (+.f64 (PI.f64) x) eps))
accuracy	0.234375	(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))
accuracy	0.36328125	(.f64 (-.f64 (.f64 (neg.f64 eps) (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) (sin.f64 x)) #s(literal -1/3 binary64) (fma.f64 (.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (sin.f64 x) (.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 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/6 binary64)))) eps)
accuracy	0.4140625	(*.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	0.96484375	(fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/6 binary64)))

Samples

551.0ms	244×	1	valid
57.0ms	2×	5	exit
6.0ms	10×	0	valid

Compiler

Compiled 1 470 to 88 computations (94% saved)

Precisions

Click to see histograms. Total time spent on operations: 544.0ms

ival-tan: 218.0ms (40.1% of total)

adjust: 72.0ms (13.2% of total)

ival-mult: 68.0ms (12.5% of total)

ival-add: 59.0ms (10.8% of total)

ival-div: 56.0ms (10.3% of total)

const: 18.0ms (3.3% of total)

ival-sub: 16.0ms (2.9% of total)

ival-pow: 12.0ms (2.2% of total)

ival-pow2: 10.0ms (1.8% of total)

ival-cos: 4.0ms (0.7% of total)

ival-neg: 4.0ms (0.7% 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)

series145.0ms (1%)

Memory

-8.1MiB live, 188.2MiB allocated

Counts

27 → 201

Calls

Call 1

Inputs
(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 (.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (sin.f64 x) (.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 (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (sin.f64 x) (.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(tan.f64 (+.f64 (+.f64 (PI.f64) x) eps))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
(+.f64 (+.f64 (PI.f64) x) eps)
(+.f64 (PI.f64) x)
(-.f64 (tan.f64 #s(approx (+ x eps) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))) (tan.f64 x))
(tan.f64 #s(approx (+ x eps) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64)))))
#s(approx (+ x eps) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64)))
(-.f64 (tan.f64 (.f64 (/.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 eps (+.f64 eps x) (*.f64 x x)))) (tan.f64 x))
(tan.f64 (.f64 (/.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 eps (+.f64 eps x) (*.f64 x x))))
(.f64 (/.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 eps (+.f64 eps x) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (sin.f64 x))) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)))
(-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (sin.f64 x)))
(/.f64 (/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (sin.f64 x))) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (cos.f64 x))
(*.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x))
(*.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))
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(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))
(PI.f64)
(-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))
(fma.f64 eps (+.f64 eps x) (*.f64 x x))
(*.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (sin.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))
(* -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))
(* -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))
-1/3
(- (* -4/3 (pow x 2)) 1/3)
(- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/3)
(- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/3)
(/ (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 (+ eps (PI))) (cos (+ eps (PI)))) (/ (* x (pow (sin (+ eps (PI))) 2)) (pow (cos (+ eps (PI))) 2)))
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(+ eps (PI))
(+ eps (+ x (PI)))
(PI)
(+ x (PI))
(/ (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 (- (* -1 (/ (+ (* -1 (pow eps 3)) (* eps (+ (* -1 (pow eps 2)) (pow eps 2)))) (pow eps 3))) (+ 1 (/ (* (pow (sin eps) 2) (+ (* -1 (pow eps 3)) (* eps (+ (* -1 (pow eps 2)) (pow eps 2))))) (* (pow eps 3) (pow (cos eps) 2)))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ (* -1 (/ (+ (* -1 (pow eps 3)) (* eps (+ (* -1 (pow eps 2)) (pow eps 2)))) (pow eps 3))) (* x (- (+ (* -1 (/ (+ (* -1 (pow eps 2)) (+ (* eps (+ eps (* -1 eps))) (pow eps 2))) (pow eps 3))) (* -1/2 (/ (* (sin eps) (pow (+ (* -1 (pow eps 3)) (* eps (+ (* -1 (pow eps 2)) (pow eps 2)))) 2)) (* (pow eps 6) (cos eps))))) (+ (/ (* (sin eps) (* (+ (* -1 (pow eps 3)) (* eps (+ (* -1 (pow eps 2)) (pow eps 2)))) (- (* -1 (/ (+ (* -1 (pow eps 3)) (* eps (+ (* -1 (pow eps 2)) (pow eps 2)))) (pow eps 3))) (/ (* (pow (sin eps) 2) (+ (* -1 (pow eps 3)) (* eps (+ (* -1 (pow eps 2)) (pow eps 2))))) (* (pow eps 3) (pow (cos eps) 2)))))) (* (pow eps 3) (cos eps))) (/ (* (sin eps) (- (* -1/2 (/ (* (cos eps) (pow (+ (* -1 (pow eps 3)) (* eps (+ (* -1 (pow eps 2)) (pow eps 2)))) 2)) (pow eps 6))) (* -1 (/ (* (sin eps) (+ (* -1 (pow eps 2)) (+ (* eps (+ eps (* -1 eps))) (pow eps 2)))) (pow eps 3))))) (pow (cos eps) 2)))))) (+ 1 (/ (* (pow (sin eps) 2) (+ (* -1 (pow eps 3)) (* eps (+ (* -1 (pow eps 2)) (pow eps 2))))) (* (pow eps 3) (pow (cos eps) 2)))))) (/ (sin eps) (cos eps)))
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(+ (* x (- (* -1 (/ (+ (* -1 (pow eps 3)) (* eps (+ (* -1 (pow eps 2)) (pow eps 2)))) (pow eps 3))) (/ (* (pow (sin eps) 2) (+ (* -1 (pow eps 3)) (* eps (+ (* -1 (pow eps 2)) (pow eps 2))))) (* (pow eps 3) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ (* -1 (/ (+ (* -1 (pow eps 3)) (* eps (+ (* -1 (pow eps 2)) (pow eps 2)))) (pow eps 3))) (* x (- (+ (* -1 (/ (+ (* -1 (pow eps 2)) (+ (* eps (+ eps (* -1 eps))) (pow eps 2))) (pow eps 3))) (* -1/2 (/ (* (sin eps) (pow (+ (* -1 (pow eps 3)) (* eps (+ (* -1 (pow eps 2)) (pow eps 2)))) 2)) (* (pow eps 6) (cos eps))))) (+ (/ (* (sin eps) (* (+ (* -1 (pow eps 3)) (* eps (+ (* -1 (pow eps 2)) (pow eps 2)))) (- (* -1 (/ (+ (* -1 (pow eps 3)) (* eps (+ (* -1 (pow eps 2)) (pow eps 2)))) (pow eps 3))) (/ (* (pow (sin eps) 2) (+ (* -1 (pow eps 3)) (* eps (+ (* -1 (pow eps 2)) (pow eps 2))))) (* (pow eps 3) (pow (cos eps) 2)))))) (* (pow eps 3) (cos eps))) (/ (* (sin eps) (- (* -1/2 (/ (* (cos eps) (pow (+ (* -1 (pow eps 3)) (* eps (+ (* -1 (pow eps 2)) (pow eps 2)))) 2)) (pow eps 6))) (* -1 (/ (* (sin eps) (+ (* -1 (pow eps 2)) (+ (* eps (+ eps (* -1 eps))) (pow eps 2)))) (pow eps 3))))) (pow (cos eps) 2)))))) (/ (* (pow (sin eps) 2) (+ (* -1 (pow eps 3)) (* eps (+ (* -1 (pow eps 2)) (pow eps 2))))) (* (pow eps 3) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
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(+ eps (* -1 (/ (* x (+ (* -1 (pow eps 3)) (* eps (+ (* -1 (pow eps 2)) (pow eps 2))))) (pow eps 3))))
(+ eps (* x (+ (* -1 (/ (* x (+ (* -1 (pow eps 2)) (+ (* eps (+ eps (* -1 eps))) (pow eps 2)))) (pow eps 3))) (* -1 (/ (+ (* -1 (pow eps 3)) (* eps (+ (* -1 (pow eps 2)) (pow eps 2)))) (pow eps 3))))))
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(/ 1 eps)
(+ (* -1 (/ (* x (+ eps (* -1 eps))) (pow eps 3))) (/ 1 eps))
(+ (* x (+ (* -1 (/ x (pow eps 3))) (* -1 (/ (+ eps (* -1 eps)) (pow eps 3))))) (/ 1 eps))
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(* 1/6 (pow x 2))
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(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/135 (pow x 2)) 1/18))))
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(* -1 (/ eps x))
(/ (+ (* -1 eps) (* -1 x)) x)
(pow eps 2)
(+ (* eps x) (pow eps 2))
(+ (* x (+ eps x)) (pow eps 2))
x
(* x (+ 1 (* -1 (/ (* x (sin eps)) (cos eps)))))
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(/ (sin (+ eps (+ x (PI)))) (cos (+ eps (+ x (PI)))))
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(* x (+ 1 (+ (* -1 (/ eps x)) (* 2 (/ eps x)))))
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(/ 1 x)
(/ (+ 1 (+ (* -1 (/ eps x)) (/ eps x))) x)
(/ (+ 1 (+ (* -1 (/ eps x)) (+ (* -1 (/ (pow eps 2) (pow x 2))) (/ eps x)))) x)
(/ (+ 1 (+ (* -1 (/ eps x)) (+ (* -1 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (pow eps 3) (pow x 3)))))) x)
(/ (- (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(- (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(/ (- (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(* -1/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))))
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(* 1/6 (pow (sin x) 2))
-1
(- (* -1 (/ eps x)) 1)
(pow x 2)
(* (pow x 2) (+ 1 (/ eps x)))
(* (pow x 2) (+ 1 (+ (/ eps x) (/ (pow eps 2) (pow x 2)))))
(* (sin x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (sin (- (+ eps (PI)) (* -1 x))) (cos (- (+ eps (PI)) (* -1 x))))
(- (/ (sin (- (+ eps (PI)) (* -1 x))) (cos (- (+ eps (PI)) (* -1 x)))) (/ (sin x) (cos x)))
(* -1 (* x (- (* -1 (/ (+ eps (PI)) x)) 1)))
(* -1 (* x (- (* -1 (/ (PI) x)) 1)))
(- (/ (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)))
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(/ (sin (/ (* (+ eps (* -1 x)) (* (+ (* eps (- eps (* -1 x))) (pow x 2)) (- eps (* -1 x)))) (+ (* -1 (pow x 3)) (pow eps 3)))) (cos (/ (* (+ eps (* -1 x)) (* (+ (* eps (- eps (* -1 x))) (pow x 2)) (- eps (* -1 x)))) (+ (* -1 (pow x 3)) (pow eps 3)))))
(* -1 (* x (- (* -1 (/ (+ (* -1 eps) (* 2 eps)) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (* -1 eps) (+ (* -1 (/ (+ (* -2 (pow eps 2)) (* 2 (pow eps 2))) x)) (* 2 eps))) x)) 1)))
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(* -1 (/ (- (* -1 (/ (+ eps (* -1 eps)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ eps (+ (* -1 eps) (* -1 (/ (pow eps 2) x)))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ eps (+ (* -1 eps) (* -1 (/ (+ (* -1 (/ (pow eps 3) x)) (pow eps 2)) x)))) x)) 1) x))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 eps) (* -1 (/ (pow eps 2) x))) x))))
(/ (sin (+ x (PI))) (cos (+ x (PI))))
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(- (/ (sin (+ x (PI))) (cos (+ x (PI)))) (/ (sin x) (cos x)))
(- (+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))) (/ (sin x) (cos x)))
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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))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))) (/ (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)))))
(/ (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)))
(+ (* -1 (/ (pow eps 2) (pow x 3))) (/ 1 x))
(+ (* (pow eps 2) (- (/ eps (pow x 4)) (/ 1 (pow x 3)))) (/ 1 x))
(+ (* (pow eps 2) (- (* eps (+ (* -1 (/ (pow eps 2) (pow x 6))) (/ 1 (pow x 4)))) (/ 1 (pow x 3)))) (/ 1 x))
(* eps (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- (+ (cos x) (/ (* eps (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- (+ (cos x) (* eps (- (* eps (- (* 1/3 (cos x)) (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- (+ (cos x) (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/3 (cos x)) (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (cos x))) (* -1/3 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (cos x)))))) (* 1/3 (cos x))) (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- (+ (cos x) (* (pow eps 2) (- (* 1/3 (cos x)) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (- (* 2/15 (cos x)) (* -2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (- (+ (* 2/15 (cos x)) (* (pow eps 2) (- (* 17/315 (cos x)) (* -17/315 (/ (pow (sin x) 2) (cos x)))))) (* -2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(/ (* eps (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (cos x))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))))) (pow (cos x) 2))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1/3 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2))))))) (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(sin x)
(+ (sin x) (* eps (cos x)))
(+ (sin x) (* eps (+ (cos x) (* 1/3 (* (pow eps 2) (cos x))))))
(+ (sin x) (* eps (+ (cos x) (* (pow eps 2) (+ (* 2/15 (* (pow eps 2) (cos x))) (* 1/3 (cos x)))))))
(* -1 (* eps (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))))))
(* eps (+ (* -1 (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))))) (* -1 (/ (* eps (+ (* -2/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) (cos x)))))
(+ (* eps x) (pow x 2))
(+ (* eps (+ eps x)) (pow x 2))
(+ (sin x) (* -1 (/ (* eps (pow (sin x) 2)) (cos x))))
(+ (sin x) (* eps (+ (* -1 (/ (pow (sin x) 2) (cos x))) (* -1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))))))
(+ (sin x) (* eps (+ (* -1 (/ (pow (sin x) 2) (cos x))) (* (pow eps 2) (+ (* -1/3 (/ (pow (sin x) 2) (cos x))) (* -2/15 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))))))))
(* eps (+ 1 (+ (/ x eps) (/ (PI) eps))))
(* eps (+ 1 (/ x eps)))
(- (/ (sin (/ (* (+ eps x) (* (+ (* eps x) (+ (pow eps 2) (pow x 2))) (- x eps))) (- (pow x 3) (pow eps 3)))) (cos (/ (* (+ eps x) (* (+ (* eps x) (+ (pow eps 2) (pow x 2))) (- x eps))) (- (pow x 3) (pow eps 3))))) (/ (sin x) (cos x)))
(/ (sin (/ (* (+ eps x) (* (+ (* eps x) (+ (pow eps 2) (pow x 2))) (- x eps))) (- (pow x 3) (pow eps 3)))) (cos (/ (* (+ eps x) (* (+ (* eps x) (+ (pow eps 2) (pow x 2))) (- x eps))) (- (pow x 3) (pow eps 3)))))
(* eps (+ 1 (* -1 (/ (+ x (* -2 x)) eps))))
(* eps (+ 1 (+ (* -1 (/ (+ x (* -2 x)) eps)) (* -1 (/ (+ (* -1 (pow x 2)) (+ (* x (+ x (* -1 x))) (pow x 2))) (pow eps 2))))))
(* eps (- (+ 1 (+ (* -1 (/ (+ x (* -2 x)) eps)) (+ (* -1 (/ (+ (* -1 (pow x 2)) (+ (* x (+ x (* -1 x))) (pow x 2))) (pow eps 2))) (* -1 (/ (+ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)) (pow eps 3)))))) (* -1 (/ (pow x 3) (pow eps 3)))))
(/ (+ 1 (* -1 (/ (+ x (* -1 x)) eps))) eps)
(/ (+ 1 (+ (* -1 (/ (+ x (* -1 x)) eps)) (* -1 (/ (pow x 2) (pow eps 2))))) eps)
(/ (+ 1 (+ (* -1 (/ (+ x (* -1 x)) eps)) (+ (* -1 (/ (pow x 2) (pow eps 2))) (/ (pow x 3) (pow eps 3))))) eps)
(* -1 (/ (* (pow eps 2) (+ (* -2/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) eps)) (* -1 (/ (+ (* -2/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))) (cos x)))))
(* -1 (* eps (+ (/ 1 eps) (/ 1 x))))
(* (pow eps 2) (+ 1 (/ x eps)))
(* (pow eps 2) (+ 1 (+ (/ x eps) (/ (pow x 2) (pow eps 2)))))
(/ (sin (- (+ x (PI)) (* -1 eps))) (cos (- (+ x (PI)) (* -1 eps))))
(- (/ (sin (- (+ x (PI)) (* -1 eps))) (cos (- (+ x (PI)) (* -1 eps)))) (/ (sin x) (cos x)))
(* -1 (* eps (- (* -1 (/ (+ x (PI)) eps)) 1)))
(- (/ (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)))
(- (/ (sin (/ (* (+ x (* -1 eps)) (* (+ (* eps (- x (* -1 eps))) (pow x 2)) (- x (* -1 eps)))) (+ (* -1 (pow eps 3)) (pow x 3)))) (cos (/ (* (+ x (* -1 eps)) (* (+ (* eps (- x (* -1 eps))) (pow x 2)) (- x (* -1 eps)))) (+ (* -1 (pow eps 3)) (pow x 3))))) (/ (sin x) (cos x)))
(/ (sin (/ (* (+ x (* -1 eps)) (* (+ (* eps (- x (* -1 eps))) (pow x 2)) (- x (* -1 eps)))) (+ (* -1 (pow eps 3)) (pow x 3)))) (cos (/ (* (+ x (* -1 eps)) (* (+ (* eps (- x (* -1 eps))) (pow x 2)) (- x (* -1 eps)))) (+ (* -1 (pow eps 3)) (pow x 3)))))
(* -1 (* eps (- (* -1 (/ (+ (* -1 x) (* 2 x)) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (+ (* -1 x) (+ (* -1 (/ (+ (* -2 (pow x 2)) (* 2 (pow x 2))) eps)) (* 2 x))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (+ (* -1 x) (+ (* -1 (/ (+ (* -2 (pow x 2)) (+ (* -1 (/ (- (+ (* -2 (pow x 3)) (pow x 3)) (* -1 (pow x 3))) eps)) (* 2 (pow x 2)))) eps)) (* 2 x))) eps)) 1)))
(* -1 (/ (- (* -1 (/ (+ x (* -1 x)) eps)) 1) eps))
(* -1 (/ (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) eps)))) eps)) 1) eps))
(* -1 (/ (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (pow x 3) eps)) (pow x 2)) eps)))) eps)) 1) eps))
(* -1 (* (pow eps 2) (+ (* -2/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 3)))))
(* (pow eps 2) (+ (* -1 (+ (* -2/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 3)))) (* -1 (/ (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) eps))) eps))))

Calls

6 calls:

Time	Variable		Point	Expression
49.0ms	x	@	-inf	((+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (+ (* (* (/ (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (cos x) 2)) (pow (sin x) 2)) (sin x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3))) (+ (* (* (/ (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (cos x) 2)) (pow (sin x) 2)) (sin x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3)) (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/2) (+ (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2)) 1/6)) (tan (+ (+ (PI) x) eps)) (- (tan (+ (+ (PI) x) eps)) (tan x)) (+ (+ (PI) x) eps) (+ (PI) x) (- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (* (neg x) (- (/ (neg eps) x) 1)) (- (tan (* (/ (* (- x eps) (+ eps x)) (- (pow x 3) (pow eps 3))) (+ (* eps (+ eps x)) (* x x)))) (tan x)) (tan (* (/ (* (- x eps) (+ eps x)) (- (pow x 3) (pow eps 3))) (+ (* eps (+ eps x)) (* x x)))) (* (/ (* (- x eps) (+ eps x)) (- (pow x 3) (pow eps 3))) (+ (* eps (+ eps x)) (* x x))) (/ (* (- x eps) (+ eps x)) (- (pow x 3) (pow eps 3))) (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (/ (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (cos x)) (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (/ (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) (+ (* (* (/ (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (cos x) 2)) (pow (sin x) 2)) (sin x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3))) (cos x))) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/2) (+ (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2)) 1/6))) eps) (* (pow (sin x) 2) 1/6) (PI) (- (/ (neg eps) x) 1) (+ (* eps (+ eps x)) (* x x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x)))
28.0ms	x	@	0	((+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (+ (* (* (/ (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (cos x) 2)) (pow (sin x) 2)) (sin x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3))) (+ (* (* (/ (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (cos x) 2)) (pow (sin x) 2)) (sin x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3)) (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/2) (+ (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2)) 1/6)) (tan (+ (+ (PI) x) eps)) (- (tan (+ (+ (PI) x) eps)) (tan x)) (+ (+ (PI) x) eps) (+ (PI) x) (- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (* (neg x) (- (/ (neg eps) x) 1)) (- (tan (* (/ (* (- x eps) (+ eps x)) (- (pow x 3) (pow eps 3))) (+ (* eps (+ eps x)) (* x x)))) (tan x)) (tan (* (/ (* (- x eps) (+ eps x)) (- (pow x 3) (pow eps 3))) (+ (* eps (+ eps x)) (* x x)))) (* (/ (* (- x eps) (+ eps x)) (- (pow x 3) (pow eps 3))) (+ (* eps (+ eps x)) (* x x))) (/ (* (- x eps) (+ eps x)) (- (pow x 3) (pow eps 3))) (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (/ (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (cos x)) (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (/ (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) (+ (* (* (/ (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (cos x) 2)) (pow (sin x) 2)) (sin x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3))) (cos x))) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/2) (+ (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2)) 1/6))) eps) (* (pow (sin x) 2) 1/6) (PI) (- (/ (neg eps) x) 1) (+ (* eps (+ eps x)) (* x x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x)))
21.0ms	x	@	inf	((+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (+ (* (* (/ (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (cos x) 2)) (pow (sin x) 2)) (sin x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3))) (+ (* (* (/ (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (cos x) 2)) (pow (sin x) 2)) (sin x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3)) (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/2) (+ (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2)) 1/6)) (tan (+ (+ (PI) x) eps)) (- (tan (+ (+ (PI) x) eps)) (tan x)) (+ (+ (PI) x) eps) (+ (PI) x) (- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (* (neg x) (- (/ (neg eps) x) 1)) (- (tan (* (/ (* (- x eps) (+ eps x)) (- (pow x 3) (pow eps 3))) (+ (* eps (+ eps x)) (* x x)))) (tan x)) (tan (* (/ (* (- x eps) (+ eps x)) (- (pow x 3) (pow eps 3))) (+ (* eps (+ eps x)) (* x x)))) (* (/ (* (- x eps) (+ eps x)) (- (pow x 3) (pow eps 3))) (+ (* eps (+ eps x)) (* x x))) (/ (* (- x eps) (+ eps x)) (- (pow x 3) (pow eps 3))) (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (/ (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (cos x)) (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (/ (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) (+ (* (* (/ (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (cos x) 2)) (pow (sin x) 2)) (sin x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3))) (cos x))) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/2) (+ (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2)) 1/6))) eps) (* (pow (sin x) 2) 1/6) (PI) (- (/ (neg eps) x) 1) (+ (* eps (+ eps x)) (* x x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x)))
15.0ms	eps	@	0	((+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (+ (* (* (/ (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (cos x) 2)) (pow (sin x) 2)) (sin x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3))) (+ (* (* (/ (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (cos x) 2)) (pow (sin x) 2)) (sin x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3)) (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/2) (+ (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2)) 1/6)) (tan (+ (+ (PI) x) eps)) (- (tan (+ (+ (PI) x) eps)) (tan x)) (+ (+ (PI) x) eps) (+ (PI) x) (- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (* (neg x) (- (/ (neg eps) x) 1)) (- (tan (* (/ (* (- x eps) (+ eps x)) (- (pow x 3) (pow eps 3))) (+ (* eps (+ eps x)) (* x x)))) (tan x)) (tan (* (/ (* (- x eps) (+ eps x)) (- (pow x 3) (pow eps 3))) (+ (* eps (+ eps x)) (* x x)))) (* (/ (* (- x eps) (+ eps x)) (- (pow x 3) (pow eps 3))) (+ (* eps (+ eps x)) (* x x))) (/ (* (- x eps) (+ eps x)) (- (pow x 3) (pow eps 3))) (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (/ (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (cos x)) (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (/ (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) (+ (* (* (/ (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (cos x) 2)) (pow (sin x) 2)) (sin x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3))) (cos x))) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/2) (+ (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2)) 1/6))) eps) (* (pow (sin x) 2) 1/6) (PI) (- (/ (neg eps) x) 1) (+ (* eps (+ eps x)) (* x x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x)))
14.0ms	eps	@	inf	((+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (+ (* (* (/ (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (cos x) 2)) (pow (sin x) 2)) (sin x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3))) (+ (* (* (/ (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (cos x) 2)) (pow (sin x) 2)) (sin x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3)) (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/2) (+ (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2)) 1/6)) (tan (+ (+ (PI) x) eps)) (- (tan (+ (+ (PI) x) eps)) (tan x)) (+ (+ (PI) x) eps) (+ (PI) x) (- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (* (neg x) (- (/ (neg eps) x) 1)) (- (tan (* (/ (* (- x eps) (+ eps x)) (- (pow x 3) (pow eps 3))) (+ (* eps (+ eps x)) (* x x)))) (tan x)) (tan (* (/ (* (- x eps) (+ eps x)) (- (pow x 3) (pow eps 3))) (+ (* eps (+ eps x)) (* x x)))) (* (/ (* (- x eps) (+ eps x)) (- (pow x 3) (pow eps 3))) (+ (* eps (+ eps x)) (* x x))) (/ (* (- x eps) (+ eps x)) (- (pow x 3) (pow eps 3))) (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (/ (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (cos x)) (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (/ (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) (+ (* (* (/ (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (cos x) 2)) (pow (sin x) 2)) (sin x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3))) (cos x))) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/2) (+ (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2)) 1/6))) eps) (* (pow (sin x) 2) 1/6) (PI) (- (/ (neg eps) x) 1) (+ (* eps (+ eps x)) (* x x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x)))

simplify237.0ms (1.6%)

Memory

-3.1MiB live, 226.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1144	7735
1	3691	7565
0	8876	7214

Stop Event

1×	iter limit
1×	node limit

Counts

201 → 199

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))
(* -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))
(* -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))
-1/3
(- (* -4/3 (pow x 2)) 1/3)
(- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/3)
(- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/3)
(/ (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 (+ eps (PI))) (cos (+ eps (PI)))) (/ (* x (pow (sin (+ eps (PI))) 2)) (pow (cos (+ eps (PI))) 2)))
(+ (* x (- (/ (* x (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))) (cos (+ eps (PI)))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin (+ eps (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (pow (cos (+ eps (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (* 1/6 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))))) (* -1 (/ (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (cos (+ eps (PI))))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))
(+ eps (PI))
(+ eps (+ x (PI)))
(PI)
(+ x (PI))
(/ (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)))
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eps
(+ eps x)
(+ (* x (- (* -1 (/ (+ (* -1 (pow eps 3)) (* eps (+ (* -1 (pow eps 2)) (pow eps 2)))) (pow eps 3))) (+ 1 (/ (* (pow (sin eps) 2) (+ (* -1 (pow eps 3)) (* eps (+ (* -1 (pow eps 2)) (pow eps 2))))) (* (pow eps 3) (pow (cos eps) 2)))))) (/ (sin eps) (cos eps)))
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(+ (* x (- (* -1 (/ (+ (* -1 (pow eps 3)) (* eps (+ (* -1 (pow eps 2)) (pow eps 2)))) (pow eps 3))) (/ (* (pow (sin eps) 2) (+ (* -1 (pow eps 3)) (* eps (+ (* -1 (pow eps 2)) (pow eps 2))))) (* (pow eps 3) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
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(+ eps (* -1 (/ (* x (+ (* -1 (pow eps 3)) (* eps (+ (* -1 (pow eps 2)) (pow eps 2))))) (pow eps 3))))
(+ eps (* x (+ (* -1 (/ (* x (+ (* -1 (pow eps 2)) (+ (* eps (+ eps (* -1 eps))) (pow eps 2)))) (pow eps 3))) (* -1 (/ (+ (* -1 (pow eps 3)) (* eps (+ (* -1 (pow eps 2)) (pow eps 2)))) (pow eps 3))))))
(+ eps (* x (+ (* -1 (/ (+ (* -1 (pow eps 3)) (* eps (+ (* -1 (pow eps 2)) (pow eps 2)))) (pow eps 3))) (* x (+ (* -1 (/ (+ (* -1 (pow eps 2)) (+ (* eps (+ eps (* -1 eps))) (pow eps 2))) (pow eps 3))) (* x (+ (* -1 (/ (+ (* -1 eps) (* 2 eps)) (pow eps 3))) (/ 1 (pow eps 2)))))))))
(/ 1 eps)
(+ (* -1 (/ (* x (+ eps (* -1 eps))) (pow eps 3))) (/ 1 eps))
(+ (* x (+ (* -1 (/ x (pow eps 3))) (* -1 (/ (+ eps (* -1 eps)) (pow eps 3))))) (/ 1 eps))
(+ (* x (+ (* -1 (/ (+ eps (* -1 eps)) (pow eps 3))) (* x (- (/ x (pow eps 4)) (/ 1 (pow eps 3)))))) (/ 1 eps))
(+ (* x (- (* x (- (* -1/2 (/ (sin eps) (cos eps))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (/ (* (sin eps) (- (* -1/2 (/ (sin eps) (cos eps))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (cos eps))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (* -1/2 (/ (sin eps) (cos eps)))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* (pow x 2) (- (* -1/2 (/ (sin eps) (cos eps))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
(+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* 1/24 (/ (sin eps) (cos eps))) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
(+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (* (pow x 2) (- (+ (* 1/24 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* -1/720 (/ (sin eps) (cos eps))) (+ (* -2/15 (/ (sin eps) (cos eps))) (+ (* -1/120 (/ (sin eps) (cos eps))) (* 1/18 (/ (sin eps) (cos eps)))))))) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
(+ (* 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 (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/2 (/ (sin eps) (cos eps))))) (cos eps)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ x (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* -1/2 (/ (* x (sin eps)) (cos eps))))) (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* x (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/6 x))))) (/ (sin eps) (cos eps)))
(* 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))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/18 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/135 (pow x 2)) 1/18))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/135 (* -1/1890 (pow x 2)))) 1/18))))
(* -1 (/ eps x))
(/ (+ (* -1 eps) (* -1 x)) x)
(pow eps 2)
(+ (* eps x) (pow eps 2))
(+ (* x (+ eps x)) (pow eps 2))
x
(* x (+ 1 (* -1 (/ (* x (sin eps)) (cos eps)))))
(* x (+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1/6 x)))))
(* x (+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* x (- (* x (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))) 1/6))))))
(+ (* -2/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))
(+ (* -1/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))
(+ (* 1/6 (pow (sin x) 2)) (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
(+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))))
(/ (sin (+ eps (+ x (PI)))) (cos (+ eps (+ x (PI)))))
(- (/ (sin (+ eps (+ x (PI)))) (cos (+ eps (+ x (PI))))) (/ (sin x) (cos x)))
(* x (+ 1 (+ (/ eps x) (/ (PI) x))))
(* x (+ 1 (/ (PI) x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(* x (+ 1 (/ eps x)))
(- (/ (sin (/ (* (+ eps x) (* (+ (* eps (+ eps x)) (pow x 2)) (- x eps))) (- (pow x 3) (pow eps 3)))) (cos (/ (* (+ eps x) (* (+ (* eps (+ eps x)) (pow x 2)) (- x eps))) (- (pow x 3) (pow eps 3))))) (/ (sin x) (cos x)))
(/ (sin (/ (* (+ eps x) (* (+ (* eps (+ eps x)) (pow x 2)) (- x eps))) (- (pow x 3) (pow eps 3)))) (cos (/ (* (+ eps x) (* (+ (* eps (+ eps x)) (pow x 2)) (- x eps))) (- (pow x 3) (pow eps 3)))))
(* x (+ 1 (+ (* -1 (/ eps x)) (* 2 (/ eps x)))))
(* x (+ 1 (+ (* -1 (/ eps x)) (+ (* -1 (/ (pow eps 2) (pow x 2))) (+ (* 2 (/ eps x)) (+ (/ (* eps (+ eps (* -1 eps))) (pow x 2)) (/ (pow eps 2) (pow x 2))))))))
(* x (+ 1 (+ (* -1 (/ eps x)) (+ (* -1 (/ (pow eps 2) (pow x 2))) (+ (* 2 (/ eps x)) (+ (/ (* eps (+ eps (* -1 eps))) (pow x 2)) (+ (/ (* eps (+ (* -1 (pow eps 2)) (pow eps 2))) (pow x 3)) (/ (pow eps 2) (pow x 2)))))))))
(/ 1 x)
(/ (+ 1 (+ (* -1 (/ eps x)) (/ eps x))) x)
(/ (+ 1 (+ (* -1 (/ eps x)) (+ (* -1 (/ (pow eps 2) (pow x 2))) (/ eps x)))) x)
(/ (+ 1 (+ (* -1 (/ eps x)) (+ (* -1 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (pow eps 3) (pow x 3)))))) x)
(/ (- (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(- (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(/ (- (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(* -1/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))))
(* eps (- (* -1 (/ (* eps (+ (* -2/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) (cos x))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))))))
(* 1/6 (pow (sin x) 2))
-1
(- (* -1 (/ eps x)) 1)
(pow x 2)
(* (pow x 2) (+ 1 (/ eps x)))
(* (pow x 2) (+ 1 (+ (/ eps x) (/ (pow eps 2) (pow x 2)))))
(* (sin x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (sin (- (+ eps (PI)) (* -1 x))) (cos (- (+ eps (PI)) (* -1 x))))
(- (/ (sin (- (+ eps (PI)) (* -1 x))) (cos (- (+ eps (PI)) (* -1 x)))) (/ (sin x) (cos x)))
(* -1 (* x (- (* -1 (/ (+ eps (PI)) x)) 1)))
(* -1 (* x (- (* -1 (/ (PI) x)) 1)))
(- (/ (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)))
(- (/ (sin (/ (* (+ eps (* -1 x)) (* (+ (* eps (- eps (* -1 x))) (pow x 2)) (- eps (* -1 x)))) (+ (* -1 (pow x 3)) (pow eps 3)))) (cos (/ (* (+ eps (* -1 x)) (* (+ (* eps (- eps (* -1 x))) (pow x 2)) (- eps (* -1 x)))) (+ (* -1 (pow x 3)) (pow eps 3))))) (/ (sin x) (cos x)))
(/ (sin (/ (* (+ eps (* -1 x)) (* (+ (* eps (- eps (* -1 x))) (pow x 2)) (- eps (* -1 x)))) (+ (* -1 (pow x 3)) (pow eps 3)))) (cos (/ (* (+ eps (* -1 x)) (* (+ (* eps (- eps (* -1 x))) (pow x 2)) (- eps (* -1 x)))) (+ (* -1 (pow x 3)) (pow eps 3)))))
(* -1 (* x (- (* -1 (/ (+ (* -1 eps) (* 2 eps)) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (* -1 eps) (+ (* -1 (/ (+ (* -2 (pow eps 2)) (* 2 (pow eps 2))) x)) (* 2 eps))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (* -1 eps) (+ (* -1 (/ (+ (* -2 (pow eps 2)) (+ (* -1 (/ (- (+ (* -2 (pow eps 3)) (pow eps 3)) (* -1 (pow eps 3))) x)) (* 2 (pow eps 2)))) x)) (* 2 eps))) x)) 1)))
(* -1 (/ (- (* -1 (/ (+ eps (* -1 eps)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ eps (+ (* -1 eps) (* -1 (/ (pow eps 2) x)))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ eps (+ (* -1 eps) (* -1 (/ (+ (* -1 (/ (pow eps 3) x)) (pow eps 2)) x)))) x)) 1) x))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 eps) (* -1 (/ (pow eps 2) x))) 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)))))
(- (/ (sin (+ x (PI))) (cos (+ x (PI)))) (/ (sin x) (cos x)))
(- (+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))) (/ (sin x) (cos x)))
(- (+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))) (cos (+ x (PI))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))) (/ (sin x) (cos x)))
(- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (pow (cos (+ x (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (* 1/6 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))))) (* -1 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI)))))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))) (/ (sin x) (cos x)))
(* 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)))))
(/ (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)))
(+ (* -1 (/ (pow eps 2) (pow x 3))) (/ 1 x))
(+ (* (pow eps 2) (- (/ eps (pow x 4)) (/ 1 (pow x 3)))) (/ 1 x))
(+ (* (pow eps 2) (- (* eps (+ (* -1 (/ (pow eps 2) (pow x 6))) (/ 1 (pow x 4)))) (/ 1 (pow x 3)))) (/ 1 x))
(* eps (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- (+ (cos x) (/ (* eps (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- (+ (cos x) (* eps (- (* eps (- (* 1/3 (cos x)) (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- (+ (cos x) (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/3 (cos x)) (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (cos x))) (* -1/3 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (cos x)))))) (* 1/3 (cos x))) (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- (+ (cos x) (* (pow eps 2) (- (* 1/3 (cos x)) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (- (* 2/15 (cos x)) (* -2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (- (+ (* 2/15 (cos x)) (* (pow eps 2) (- (* 17/315 (cos x)) (* -17/315 (/ (pow (sin x) 2) (cos x)))))) (* -2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(/ (* eps (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (cos x))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))))) (pow (cos x) 2))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1/3 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2))))))) (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(sin x)
(+ (sin x) (* eps (cos x)))
(+ (sin x) (* eps (+ (cos x) (* 1/3 (* (pow eps 2) (cos x))))))
(+ (sin x) (* eps (+ (cos x) (* (pow eps 2) (+ (* 2/15 (* (pow eps 2) (cos x))) (* 1/3 (cos x)))))))
(* -1 (* eps (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))))))
(* eps (+ (* -1 (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))))) (* -1 (/ (* eps (+ (* -2/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) (cos x)))))
(+ (* eps x) (pow x 2))
(+ (* eps (+ eps x)) (pow x 2))
(+ (sin x) (* -1 (/ (* eps (pow (sin x) 2)) (cos x))))
(+ (sin x) (* eps (+ (* -1 (/ (pow (sin x) 2) (cos x))) (* -1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))))))
(+ (sin x) (* eps (+ (* -1 (/ (pow (sin x) 2) (cos x))) (* (pow eps 2) (+ (* -1/3 (/ (pow (sin x) 2) (cos x))) (* -2/15 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))))))))
(* eps (+ 1 (+ (/ x eps) (/ (PI) eps))))
(* eps (+ 1 (/ x eps)))
(- (/ (sin (/ (* (+ eps x) (* (+ (* eps x) (+ (pow eps 2) (pow x 2))) (- x eps))) (- (pow x 3) (pow eps 3)))) (cos (/ (* (+ eps x) (* (+ (* eps x) (+ (pow eps 2) (pow x 2))) (- x eps))) (- (pow x 3) (pow eps 3))))) (/ (sin x) (cos x)))
(/ (sin (/ (* (+ eps x) (* (+ (* eps x) (+ (pow eps 2) (pow x 2))) (- x eps))) (- (pow x 3) (pow eps 3)))) (cos (/ (* (+ eps x) (* (+ (* eps x) (+ (pow eps 2) (pow x 2))) (- x eps))) (- (pow x 3) (pow eps 3)))))
(* eps (+ 1 (* -1 (/ (+ x (* -2 x)) eps))))
(* eps (+ 1 (+ (* -1 (/ (+ x (* -2 x)) eps)) (* -1 (/ (+ (* -1 (pow x 2)) (+ (* x (+ x (* -1 x))) (pow x 2))) (pow eps 2))))))
(* eps (- (+ 1 (+ (* -1 (/ (+ x (* -2 x)) eps)) (+ (* -1 (/ (+ (* -1 (pow x 2)) (+ (* x (+ x (* -1 x))) (pow x 2))) (pow eps 2))) (* -1 (/ (+ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)) (pow eps 3)))))) (* -1 (/ (pow x 3) (pow eps 3)))))
(/ (+ 1 (* -1 (/ (+ x (* -1 x)) eps))) eps)
(/ (+ 1 (+ (* -1 (/ (+ x (* -1 x)) eps)) (* -1 (/ (pow x 2) (pow eps 2))))) eps)
(/ (+ 1 (+ (* -1 (/ (+ x (* -1 x)) eps)) (+ (* -1 (/ (pow x 2) (pow eps 2))) (/ (pow x 3) (pow eps 3))))) eps)
(* -1 (/ (* (pow eps 2) (+ (* -2/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) eps)) (* -1 (/ (+ (* -2/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))) (cos x)))))
(* -1 (* eps (+ (/ 1 eps) (/ 1 x))))
(* (pow eps 2) (+ 1 (/ x eps)))
(* (pow eps 2) (+ 1 (+ (/ x eps) (/ (pow x 2) (pow eps 2)))))
(/ (sin (- (+ x (PI)) (* -1 eps))) (cos (- (+ x (PI)) (* -1 eps))))
(- (/ (sin (- (+ x (PI)) (* -1 eps))) (cos (- (+ x (PI)) (* -1 eps)))) (/ (sin x) (cos x)))
(* -1 (* eps (- (* -1 (/ (+ x (PI)) eps)) 1)))
(- (/ (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)))
(- (/ (sin (/ (* (+ x (* -1 eps)) (* (+ (* eps (- x (* -1 eps))) (pow x 2)) (- x (* -1 eps)))) (+ (* -1 (pow eps 3)) (pow x 3)))) (cos (/ (* (+ x (* -1 eps)) (* (+ (* eps (- x (* -1 eps))) (pow x 2)) (- x (* -1 eps)))) (+ (* -1 (pow eps 3)) (pow x 3))))) (/ (sin x) (cos x)))
(/ (sin (/ (* (+ x (* -1 eps)) (* (+ (* eps (- x (* -1 eps))) (pow x 2)) (- x (* -1 eps)))) (+ (* -1 (pow eps 3)) (pow x 3)))) (cos (/ (* (+ x (* -1 eps)) (* (+ (* eps (- x (* -1 eps))) (pow x 2)) (- x (* -1 eps)))) (+ (* -1 (pow eps 3)) (pow x 3)))))
(* -1 (* eps (- (* -1 (/ (+ (* -1 x) (* 2 x)) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (+ (* -1 x) (+ (* -1 (/ (+ (* -2 (pow x 2)) (* 2 (pow x 2))) eps)) (* 2 x))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (+ (* -1 x) (+ (* -1 (/ (+ (* -2 (pow x 2)) (+ (* -1 (/ (- (+ (* -2 (pow x 3)) (pow x 3)) (* -1 (pow x 3))) eps)) (* 2 (pow x 2)))) eps)) (* 2 x))) eps)) 1)))
(* -1 (/ (- (* -1 (/ (+ x (* -1 x)) eps)) 1) eps))
(* -1 (/ (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) eps)))) eps)) 1) eps))
(* -1 (/ (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (pow x 3) eps)) (pow x 2)) eps)))) eps)) 1) eps))
(* -1 (* (pow eps 2) (+ (* -2/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 3)))))
(* (pow eps 2) (+ (* -1 (+ (* -2/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 3)))) (* -1 (/ (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) eps))) eps))))

Outputs
(* -2/3 x)
(*.f64 #s(literal -2/3 binary64) x)
(* x (- (* -14/9 (pow x 2)) 2/3))
(.f64 (-.f64 (.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 (-.f64 (.f64 (-.f64 (.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 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.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)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* x (- (* -23/18 (pow x 2)) 1/3))
(.f64 (-.f64 (.f64 #s(literal -23/18 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)
(* x (- (* (pow x 2) (- (* -601/360 (pow x 2)) 23/18)) 1/3))
(.f64 (-.f64 (.f64 (-.f64 (.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 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.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)
(* -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 (-.f64 (.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 (-.f64 (.f64 (-.f64 (.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 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.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))
-1/3
#s(literal -1/3 binary64)
(- (* -4/3 (pow x 2)) 1/3)
(-.f64 (.f64 #s(literal -4/3 binary64) (.f64 x x)) #s(literal 1/3 binary64))
(- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/3)
(-.f64 (.f64 (-.f64 (.f64 #s(literal -17/9 binary64) (.f64 x x)) #s(literal 4/3 binary64)) (.f64 x x)) #s(literal 1/3 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/3)
(-.f64 (.f64 (-.f64 (.f64 (-.f64 (.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 1/3 binary64))
(/ (sin (+ eps (PI))) (cos (+ eps (PI))))
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (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 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (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)))))
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(+ (* -1 (/ (pow eps 2) (pow x 3))) (/ 1 x))
(fma.f64 (/.f64 (*.f64 eps eps) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ (* (pow eps 2) (- (/ eps (pow x 4)) (/ 1 (pow x 3)))) (/ 1 x))
(fma.f64 (-.f64 (/.f64 eps (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 eps eps) (/.f64 #s(literal 1 binary64) x))
(+ (* (pow eps 2) (- (* eps (+ (* -1 (/ (pow eps 2) (pow x 6))) (/ 1 (pow x 4)))) (/ 1 (pow x 3)))) (/ 1 x))
(fma.f64 (-.f64 (.f64 (fma.f64 (/.f64 (.f64 eps eps) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 eps eps) (/.f64 #s(literal 1 binary64) x))
(* eps (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))))
(*.f64 (-.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) eps)
(* eps (- (+ (cos x) (/ (* eps (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(.f64 (-.f64 (fma.f64 eps (/.f64 (.f64 (-.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) (sin.f64 x)) (cos.f64 x)) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) eps)
(* eps (- (+ (cos x) (* eps (- (* eps (- (* 1/3 (cos x)) (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (cos.f64 x) #s(literal 1/3 binary64)) (fma.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (-.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x)))) eps (.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) (sin.f64 x)) (cos.f64 x)))) eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) eps)
(* eps (- (+ (cos x) (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/3 (cos x)) (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (cos x))) (* -1/3 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (cos x)))))) (* 1/3 (cos x))) (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 (-.f64 (.f64 (cos.f64 x) #s(literal 1/3 binary64)) (fma.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (-.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x)))) (sin.f64 x)) (.f64 #s(literal -1/3 binary64) (.f64 (-.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) (sin.f64 x)))) (cos.f64 x)) (neg.f64 eps) (-.f64 (.f64 (cos.f64 x) #s(literal 1/3 binary64)) (fma.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (-.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x))))) eps (.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) (sin.f64 x)) (cos.f64 x)))) eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) eps)
(* eps (- (+ (cos x) (* (pow eps 2) (- (* 1/3 (cos x)) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(.f64 (-.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal 1/3 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) (*.f64 eps eps) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) eps)
(* eps (- (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (- (* 2/15 (cos x)) (* -2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(.f64 (-.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal 1/3 binary64) (fma.f64 (fma.f64 #s(literal 2/15 binary64) (cos.f64 x) (.f64 #s(literal 2/15 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))) (*.f64 eps eps) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) eps)
(* eps (- (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (- (+ (* 2/15 (cos x)) (* (pow eps 2) (- (* 17/315 (cos x)) (* -17/315 (/ (pow (sin x) 2) (cos x)))))) (* -2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(.f64 (-.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal 1/3 binary64) (fma.f64 (fma.f64 #s(literal 2/15 binary64) (cos.f64 x) (fma.f64 (fma.f64 #s(literal 17/315 binary64) (cos.f64 x) (.f64 #s(literal 17/315 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) (.f64 eps eps) (.f64 #s(literal 2/15 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))) (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))) (*.f64 eps eps) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) eps)
(/ (* eps (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (cos x))
(*.f64 eps (/.f64 (-.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) (cos.f64 x)))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))))) (pow (cos x) 2))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(.f64 (-.f64 (fma.f64 eps (/.f64 (.f64 (-.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) (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)))) eps)
(* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (fma.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (-.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps (.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps #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)))) eps)
(* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1/3 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2))))))) (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (-.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64) (.f64 (neg.f64 (sin.f64 x)) (/.f64 (-.f64 #s(literal 1/3 binary64) (fma.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (-.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) (neg.f64 eps) #s(literal 1/3 binary64)) (fma.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (-.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps (.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps #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)))) eps)
(sin x)
(sin.f64 x)
(+ (sin x) (* eps (cos x)))
(fma.f64 (cos.f64 x) eps (sin.f64 x))
(+ (sin x) (* eps (+ (cos x) (* 1/3 (* (pow eps 2) (cos x))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (cos.f64 x) (cos.f64 x)) eps (sin.f64 x))
(+ (sin x) (* eps (+ (cos x) (* (pow eps 2) (+ (* 2/15 (* (pow eps 2) (cos x))) (* 1/3 (cos x)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 2/15 binary64) (.f64 eps eps)) (cos.f64 x) (.f64 (cos.f64 x) #s(literal 1/3 binary64))) (.f64 eps eps) (cos.f64 x)) eps (sin.f64 x))
(* -1 (* eps (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))))))
(.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1/6 binary64)) eps)
(* eps (+ (* -1 (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))))) (* -1 (/ (* eps (+ (* -2/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) (cos x)))))
(.f64 (neg.f64 (fma.f64 eps (/.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)) #s(literal -2/3 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (+.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) eps)
(+ (* eps x) (pow x 2))
(*.f64 (+.f64 eps x) x)
(+ (* eps (+ eps x)) (pow x 2))
(fma.f64 (+.f64 eps x) eps (*.f64 x x))
(+ (sin x) (* -1 (/ (* eps (pow (sin x) 2)) (cos x))))
(fma.f64 (neg.f64 eps) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (sin.f64 x))
(+ (sin x) (* eps (+ (* -1 (/ (pow (sin x) 2) (cos x))) (* -1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))))))
(fma.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 eps eps)) (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) eps (sin.f64 x))
(+ (sin x) (* eps (+ (* -1 (/ (pow (sin x) 2) (cos x))) (* (pow eps 2) (+ (* -1/3 (/ (pow (sin x) 2) (cos x))) (* -2/15 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))))))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 eps eps)) (.f64 #s(literal -1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (.f64 eps eps) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) eps (sin.f64 x))
(* eps (+ 1 (+ (/ x eps) (/ (PI) eps))))
(*.f64 (+.f64 (/.f64 (+.f64 (PI.f64) x) eps) #s(literal 1 binary64)) eps)
(* eps (+ 1 (/ x eps)))
(*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps)
(- (/ (sin (/ (* (+ eps x) (* (+ (* eps x) (+ (pow eps 2) (pow x 2))) (- x eps))) (- (pow x 3) (pow eps 3)))) (cos (/ (* (+ eps x) (* (+ (* eps x) (+ (pow eps 2) (pow x 2))) (- x eps))) (- (pow x 3) (pow eps 3))))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (/.f64 (.f64 (.f64 (-.f64 x eps) (fma.f64 (+.f64 eps x) eps (.f64 x x))) (+.f64 eps x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))) (cos.f64 (/.f64 (.f64 (.f64 (-.f64 x eps) (fma.f64 (+.f64 eps x) eps (.f64 x x))) (+.f64 eps x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/ (sin (/ (* (+ eps x) (* (+ (* eps x) (+ (pow eps 2) (pow x 2))) (- x eps))) (- (pow x 3) (pow eps 3)))) (cos (/ (* (+ eps x) (* (+ (* eps x) (+ (pow eps 2) (pow x 2))) (- x eps))) (- (pow x 3) (pow eps 3)))))
(/.f64 (sin.f64 (/.f64 (.f64 (.f64 (-.f64 x eps) (fma.f64 (+.f64 eps x) eps (.f64 x x))) (+.f64 eps x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))) (cos.f64 (/.f64 (.f64 (.f64 (-.f64 x eps) (fma.f64 (+.f64 eps x) eps (.f64 x x))) (+.f64 eps x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))))
(* eps (+ 1 (* -1 (/ (+ x (* -2 x)) eps))))
(*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps)
(* eps (+ 1 (+ (* -1 (/ (+ x (* -2 x)) eps)) (* -1 (/ (+ (* -1 (pow x 2)) (+ (* x (+ x (* -1 x))) (pow x 2))) (pow eps 2))))))
(.f64 (+.f64 (fma.f64 (/.f64 x eps) #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 (neg.f64 x) x (fma.f64 #s(literal 0 binary64) (.f64 x x) (.f64 x x))) (.f64 (neg.f64 eps) eps))) eps)
(* eps (- (+ 1 (+ (* -1 (/ (+ x (* -2 x)) eps)) (+ (* -1 (/ (+ (* -1 (pow x 2)) (+ (* x (+ x (* -1 x))) (pow x 2))) (pow eps 2))) (* -1 (/ (+ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)) (pow eps 3)))))) (* -1 (/ (pow x 3) (pow eps 3)))))
(.f64 (-.f64 (+.f64 (fma.f64 (/.f64 x eps) #s(literal 1 binary64) (neg.f64 (+.f64 (/.f64 (fma.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) x (pow.f64 x #s(literal 3 binary64))) (pow.f64 eps #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 x) x (fma.f64 #s(literal 0 binary64) (.f64 x x) (.f64 x x))) (.f64 eps eps))))) #s(literal 1 binary64)) (pow.f64 (/.f64 x (neg.f64 eps)) #s(literal 3 binary64))) eps)
(/ (+ 1 (* -1 (/ (+ x (* -1 x)) eps))) eps)
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) x) eps) #s(literal -1 binary64) #s(literal 1 binary64)) eps)
(/ (+ 1 (+ (* -1 (/ (+ x (* -1 x)) eps)) (* -1 (/ (pow x 2) (pow eps 2))))) eps)
(/.f64 (+.f64 (neg.f64 (fma.f64 (/.f64 x eps) (/.f64 x eps) (/.f64 (*.f64 #s(literal 0 binary64) x) eps))) #s(literal 1 binary64)) eps)
(/ (+ 1 (+ (* -1 (/ (+ x (* -1 x)) eps)) (+ (* -1 (/ (pow x 2) (pow eps 2))) (/ (pow x 3) (pow eps 3))))) eps)
(/.f64 (+.f64 (+.f64 (neg.f64 (fma.f64 (/.f64 x eps) (/.f64 x eps) (/.f64 (*.f64 #s(literal 0 binary64) x) eps))) (pow.f64 (/.f64 x eps) #s(literal 3 binary64))) #s(literal 1 binary64)) eps)
(* -1 (/ (* (pow eps 2) (+ (* -2/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) (cos x)))
(/.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)) #s(literal -2/3 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 eps eps)) (neg.f64 (cos.f64 x)))
(* (pow eps 2) (+ (* -1 (/ (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) eps)) (* -1 (/ (+ (* -2/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))) (cos x)))))
(.f64 (neg.f64 (+.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)) #s(literal -2/3 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)) (/.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps))) (.f64 eps eps))
(* -1 (* eps (+ (/ 1 eps) (/ 1 x))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) eps)) (neg.f64 eps))
(* (pow eps 2) (+ 1 (/ x eps)))
(.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) (.f64 eps eps))
(* (pow eps 2) (+ 1 (+ (/ x eps) (/ (pow x 2) (pow eps 2)))))
(.f64 (+.f64 (fma.f64 (/.f64 x eps) (/.f64 x eps) (/.f64 x eps)) #s(literal 1 binary64)) (.f64 eps eps))
(/ (sin (- (+ x (PI)) (* -1 eps))) (cos (- (+ x (PI)) (* -1 eps))))
(/.f64 (sin.f64 (-.f64 (+.f64 (PI.f64) x) (neg.f64 eps))) (cos.f64 (-.f64 (+.f64 (PI.f64) x) (neg.f64 eps))))
(- (/ (sin (- (+ x (PI)) (* -1 eps))) (cos (- (+ x (PI)) (* -1 eps)))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (-.f64 (+.f64 (PI.f64) x) (neg.f64 eps))) (cos.f64 (-.f64 (+.f64 (PI.f64) x) (neg.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(* -1 (* eps (- (* -1 (/ (+ x (PI)) eps)) 1)))
(*.f64 (-.f64 (/.f64 (+.f64 (PI.f64) x) (neg.f64 eps)) #s(literal 1 binary64)) (neg.f64 eps))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 (-.f64 x (neg.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 (-.f64 x (neg.f64 eps))))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(*.f64 (-.f64 (/.f64 x (neg.f64 eps)) #s(literal 1 binary64)) (neg.f64 eps))
(- (/ (sin (/ (* (+ x (* -1 eps)) (* (+ (* eps (- x (* -1 eps))) (pow x 2)) (- x (* -1 eps)))) (+ (* -1 (pow eps 3)) (pow x 3)))) (cos (/ (* (+ x (* -1 eps)) (* (+ (* eps (- x (* -1 eps))) (pow x 2)) (- x (* -1 eps)))) (+ (* -1 (pow eps 3)) (pow x 3))))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (/.f64 (.f64 (.f64 (fma.f64 (-.f64 x (neg.f64 eps)) eps (.f64 x x)) (-.f64 x (neg.f64 eps))) (fma.f64 #s(literal -1 binary64) eps x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))) (cos.f64 (/.f64 (.f64 (.f64 (fma.f64 (-.f64 x (neg.f64 eps)) eps (.f64 x x)) (-.f64 x (neg.f64 eps))) (fma.f64 #s(literal -1 binary64) eps x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/ (sin (/ (* (+ x (* -1 eps)) (* (+ (* eps (- x (* -1 eps))) (pow x 2)) (- x (* -1 eps)))) (+ (* -1 (pow eps 3)) (pow x 3)))) (cos (/ (* (+ x (* -1 eps)) (* (+ (* eps (- x (* -1 eps))) (pow x 2)) (- x (* -1 eps)))) (+ (* -1 (pow eps 3)) (pow x 3)))))
(/.f64 (sin.f64 (/.f64 (.f64 (.f64 (fma.f64 (-.f64 x (neg.f64 eps)) eps (.f64 x x)) (-.f64 x (neg.f64 eps))) (fma.f64 #s(literal -1 binary64) eps x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))) (cos.f64 (/.f64 (.f64 (.f64 (fma.f64 (-.f64 x (neg.f64 eps)) eps (.f64 x x)) (-.f64 x (neg.f64 eps))) (fma.f64 #s(literal -1 binary64) eps x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))))
(* -1 (* eps (- (* -1 (/ (+ (* -1 x) (* 2 x)) eps)) 1)))
(.f64 (-.f64 (/.f64 (.f64 x #s(literal 1 binary64)) (neg.f64 eps)) #s(literal 1 binary64)) (neg.f64 eps))
(* -1 (* eps (- (* -1 (/ (+ (* -1 x) (+ (* -1 (/ (+ (* -2 (pow x 2)) (* 2 (pow x 2))) eps)) (* 2 x))) eps)) 1)))
(.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x (fma.f64 #s(literal 2 binary64) x (/.f64 (.f64 (*.f64 x x) #s(literal 0 binary64)) (neg.f64 eps)))) (neg.f64 eps)) #s(literal 1 binary64)) (neg.f64 eps))
(* -1 (* eps (- (* -1 (/ (+ (* -1 x) (+ (* -1 (/ (+ (* -2 (pow x 2)) (+ (* -1 (/ (- (+ (* -2 (pow x 3)) (pow x 3)) (* -1 (pow x 3))) eps)) (* 2 (pow x 2)))) eps)) (* 2 x))) eps)) 1)))
(.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x (fma.f64 #s(literal 2 binary64) x (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2 binary64) (/.f64 (.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) x) (neg.f64 eps)))) (neg.f64 eps)))) (neg.f64 eps)) #s(literal 1 binary64)) (neg.f64 eps))
(* -1 (/ (- (* -1 (/ (+ x (* -1 x)) eps)) 1) eps))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 0 binary64) x) (neg.f64 eps)) #s(literal 1 binary64)) (neg.f64 eps))
(* -1 (/ (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) eps)))) eps)) 1) eps))
(/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 0 binary64) x (/.f64 (*.f64 (neg.f64 x) x) eps)) (neg.f64 eps)) #s(literal 1 binary64)) (neg.f64 eps))
(* -1 (/ (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (pow x 3) eps)) (pow x 2)) eps)))) eps)) 1) eps))
(/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 0 binary64) x (/.f64 (fma.f64 x x (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) eps)) (neg.f64 eps))) (neg.f64 eps)) #s(literal 1 binary64)) (neg.f64 eps))
(* -1 (* (pow eps 2) (+ (* -2/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 3)))))
(.f64 (neg.f64 (fma.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 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))) (*.f64 eps eps))
(* (pow eps 2) (+ (* -1 (+ (* -2/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 3)))) (* -1 (/ (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) eps))))
(.f64 (neg.f64 (+.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps) (fma.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 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))))) (.f64 eps eps))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) eps))) eps))))
(.f64 (fma.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (.f64 x x) eps) x)) eps) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 eps eps))

rewrite214.0ms (1.5%)

Memory

19.6MiB live, 162.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	572
0	135	513
1	589	411
2	5233	411
0	8203	407

Stop Event

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

Counts

27 → 562

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (pow.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (sin.f64 x) #s(literal -1/3 binary64)) (.f64 (.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x))) #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 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (sin.f64 x) #s(literal -1/3 binary64)) (.f64 (.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (sin.f64 x) #s(literal -1/3 binary64)))))
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(/.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (sin.f64 x) #s(literal -1/3 binary64)) (.f64 (.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (sin.f64 x) #s(literal -1/3 binary64)) (.f64 (.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x))) #s(literal 2 binary64)) (-.f64 (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 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (sin.f64 x) #s(literal -1/3 binary64)) (.f64 (.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x))) (.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 -1/27 binary64) (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (sin.f64 x) #s(literal -1/3 binary64)) (.f64 (.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x))) #s(literal 3 binary64))) (fma.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (sin.f64 x) #s(literal -1/3 binary64)) (.f64 (.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x))) (-.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (sin.f64 x) #s(literal -1/3 binary64)) (.f64 (.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (sin.f64 x) #s(literal -1/3 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))))
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(fma.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 (.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x))))
(fma.f64 (.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x) (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)))))
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(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (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)))))
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(PI.f64)
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 eps) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 eps) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 eps x) (/.f64 eps x) (+.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 eps) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 eps) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 eps x) (/.f64 eps x) (+.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (neg.f64 eps) x) #s(literal 2 binary64)) (+.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (neg.f64 eps) x) #s(literal 3 binary64)) (fma.f64 (/.f64 eps x) (/.f64 eps x) (+.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 eps x) (/.f64 eps x) (+.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64)))))
(-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 eps x) eps) #s(literal 2 binary64))) (-.f64 (.f64 x x) (*.f64 (+.f64 eps x) eps)))
(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 eps x) eps) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 eps x) eps) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (+.f64 eps x) eps) (.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (+.f64 eps x) eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 (+.f64 eps x) eps (.f64 (neg.f64 x) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 eps x) eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 (+.f64 eps x) eps)) (pow.f64 (*.f64 (+.f64 eps x) eps) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 eps x) eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (+.f64 eps x) eps (.f64 (neg.f64 x) x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 eps x) eps) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 (+.f64 eps x) eps) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 (+.f64 eps x) eps) x) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 eps x) eps) #s(literal 3 binary64))) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 (+.f64 eps x) eps)) (pow.f64 (*.f64 (+.f64 eps x) eps) #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 eps x) eps))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (+.f64 eps x) eps))
(fma.f64 (fabs.f64 eps) (fabs.f64 eps) (-.f64 (.f64 eps x) (.f64 (neg.f64 x) x)))
(fma.f64 (fabs.f64 eps) (fabs.f64 eps) (fma.f64 eps x (*.f64 x x)))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (+.f64 eps x) eps))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (+.f64 eps x) eps))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (+.f64 eps x) eps))
(fma.f64 (+.f64 eps x) eps (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (+.f64 eps x) eps (*.f64 x x))
(fma.f64 (neg.f64 eps) (neg.f64 eps) (-.f64 (.f64 eps x) (.f64 (neg.f64 x) x)))
(fma.f64 (neg.f64 eps) (neg.f64 eps) (fma.f64 eps x (*.f64 x x)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (+.f64 eps x) eps))
(fma.f64 eps (+.f64 eps x) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 eps (+.f64 eps x) (*.f64 x x))
(fma.f64 eps eps (-.f64 (.f64 eps x) (.f64 (neg.f64 x) x)))
(fma.f64 eps eps (fma.f64 eps x (*.f64 x x)))
(fma.f64 x x (*.f64 (+.f64 eps x) eps))
(-.f64 (/.f64 (pow.f64 (.f64 (+.f64 eps x) eps) #s(literal 2 binary64)) (fma.f64 (+.f64 eps x) eps (.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (+.f64 eps x) eps (*.f64 (neg.f64 x) x))))
(-.f64 (.f64 (+.f64 eps x) eps) (.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)))
(-.f64 (.f64 (+.f64 eps x) eps) (.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(-.f64 (.f64 (+.f64 eps x) eps) (.f64 (neg.f64 x) x))
(-.f64 (.f64 x x) (.f64 (neg.f64 (+.f64 eps x)) eps))
(-.f64 (.f64 x x) (.f64 (neg.f64 eps) (+.f64 eps x)))
(+.f64 (fma.f64 x x (.f64 eps eps)) (.f64 eps x))
(+.f64 (/.f64 (pow.f64 (.f64 (+.f64 eps x) eps) #s(literal 3 binary64)) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 (+.f64 eps x) eps)) (pow.f64 (.f64 (+.f64 eps x) eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 (+.f64 eps x) eps)) (pow.f64 (*.f64 (+.f64 eps x) eps) #s(literal 2 binary64)))))
(+.f64 (.f64 eps eps) (-.f64 (.f64 eps x) (*.f64 (neg.f64 x) x)))
(+.f64 (.f64 eps eps) (fma.f64 eps x (.f64 x x)))
(+.f64 (.f64 (+.f64 eps x) eps) (.f64 (neg.f64 (neg.f64 x)) x))
(+.f64 (.f64 (+.f64 eps x) eps) (.f64 x x))
(+.f64 (.f64 x x) (.f64 (+.f64 eps x) eps))
(*.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (sin.f64 x))
(*.f64 (sin.f64 x) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (-.f64 (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)) #s(literal 3 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (-.f64 (fma.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))))
(/.f64 (.f64 (sin.f64 x) (-.f64 (pow.f64 (.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)) #s(literal 1 binary64)))
(/.f64 (.f64 (sin.f64 x) (+.f64 (pow.f64 (.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))))
(fma.f64 (.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)) (sin.f64 x) (.f64 #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (sin.f64 x) (.f64 (.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)) (sin.f64 x)))
(fma.f64 (sin.f64 x) (.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)) (.f64 (sin.f64 x) #s(literal 1 binary64)))
(fma.f64 (sin.f64 x) #s(literal 1 binary64) (.f64 (sin.f64 x) (.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))))
(+.f64 (.f64 (.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)) (sin.f64 x)) (*.f64 #s(literal 1 binary64) (sin.f64 x)))
(+.f64 (.f64 #s(literal 1 binary64) (sin.f64 x)) (.f64 (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 x) (.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))) (*.f64 (sin.f64 x) #s(literal 1 binary64)))
(+.f64 (.f64 (sin.f64 x) #s(literal 1 binary64)) (.f64 (sin.f64 x) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))))

eval167.0ms (1.2%)

Memory: -9.2MiB live, 180.1MiB allocated
Compiler: Compiled 49 620 to 4 445 computations (91% saved)

prune38.0ms (0.3%)

Memory

-26.3MiB live, 65.2MiB allocated

Pruning

29 alts after pruning (26 fresh and 3 done)

	Pruned	Kept	Total
New	667	14	681
Fresh	4	12	16
Picked	3	2	5
Done	0	1	1
Total	674	29	703

Accuracy

100.0%

Counts

703 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.7%	(/.f64 (/.f64 (fma.f64 (sin.f64 x) (neg.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (*.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x))) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (cos.f64 x))
✓	62.7%	(/.f64 (/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (sin.f64 x))) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (cos.f64 x))
	62.2%	(/.f64 (/.f64 (-.f64 #s(approx (* (+ (tan eps) (tan x)) (cos x)) (fma.f64 (cos.f64 x) eps (sin.f64 x))) (*.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (sin.f64 x))) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (cos.f64 x))
	97.2%	(/.f64 (/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 eps)) (cos.f64 eps)) (.f64 x x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (cos.f64 x))
▶	99.7%	(/.f64 (/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (-.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal 1/3 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) (*.f64 eps eps) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) eps)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (cos.f64 x))
	26.5%	(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64))))
	37.3%	(/.f64 (-.f64 (pow.f64 (tan.f64 #s(approx (+ x eps) (.f64 (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64)) (neg.f64 x)))) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 #s(approx (+ x eps) (.f64 (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64)) (neg.f64 x)))) (tan.f64 x)))
	62.7%	(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 x)))) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (tan.f64 x)))) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x)))))
	62.7%	(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (sin.f64 x))) (*.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
	62.6%	(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
▶	98.4%	(/.f64 #s(approx (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (*.f64 (-.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) eps)) (cos.f64 x))
	62.7%	(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x))
	5.0%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 eps (+.f64 (PI.f64) x)) (PI.f64)) (PI.f64)) (PI.f64))) (tan.f64 x))
	5.0%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) eps)) (tan.f64 x))
✓	5.1%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
	62.5%	(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
	8.0%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))))
✓	62.5%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶	34.3%	(-.f64 (tan.f64 (.f64 (/.f64 (/.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (fma.f64 (+.f64 eps x) eps (.f64 x x))) (-.f64 x eps)) (fma.f64 eps (+.f64 eps x) (.f64 x x)))) (tan.f64 x))
	61.9%	(-.f64 (tan.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps))) (tan.f64 x))
	62.0%	(-.f64 (tan.f64 #s(approx (+ x eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))) (tan.f64 x))
	99.6%	#s(approx (/ (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (cos x)) (.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (fma.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (-.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps (.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps #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)))) eps))
	98.4%	#s(approx (/ (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (cos x)) (*.f64 eps (/.f64 (-.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) (cos.f64 x))))
	99.4%	#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) (+ (* (* (/ (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (cos x) 2)) (pow (sin x) 2)) (sin x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3))) (cos x))) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/2) (+ (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2)) 1/6))) eps) (fma.f64 (fma.f64 (.f64 eps x) #s(literal 4/3 binary64) (.f64 (.f64 eps eps) #s(literal 2/3 binary64))) x (.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))
	99.3%	#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) (+ (* (* (/ (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (cos x) 2)) (pow (sin x) 2)) (sin x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3))) (cos x))) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/2) (+ (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2)) 1/6))) 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))
▶	99.2%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x)) eps eps))
	98.4%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps))
▶	96.4%	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
	99.2%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps (.f64 (sin.f64 x) (/.f64 (-.f64 #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)))) (cos.f64 x))) #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)))) eps))

Compiler

Compiled 2 246 to 1 109 computations (50.6% saved)

simplify159.0ms (1.1%)

Memory

8.2MiB live, 148.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	788
0	117	788
1	226	781
2	602	733
3	2701	728
0	8322	722

Stop Event

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

Calls

Call 1

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

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

localize299.0ms (2.1%)

Memory

45.5MiB live, 279.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
accuracy	0.0390625	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
accuracy	0.10384750976844202	(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	0.5148066283384997	#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))
accuracy	0.01953125	(/.f64 #s(approx (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (*.f64 (-.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) eps)) (cos.f64 x))
accuracy	0.01953125	(*.f64 (-.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) eps)
accuracy	0.0390625	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
accuracy	1.0027256209152995	#s(approx (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (*.f64 (-.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) eps))
accuracy	0.3671875	(/.f64 (/.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (fma.f64 (+.f64 eps x) eps (.f64 x x))) (-.f64 x eps))
accuracy	23.835612010254287	(-.f64 (tan.f64 (.f64 (/.f64 (/.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (fma.f64 (+.f64 eps x) eps (.f64 x x))) (-.f64 x eps)) (fma.f64 eps (+.f64 eps x) (.f64 x x)))) (tan.f64 x))
accuracy	25.14888960690552	(.f64 (/.f64 (/.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (fma.f64 (+.f64 eps x) eps (.f64 x x))) (-.f64 x eps)) (fma.f64 eps (+.f64 eps x) (.f64 x x)))
accuracy	25.91603884757031	(/.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (fma.f64 (+.f64 eps x) eps (.f64 x x)))
accuracy	0.0	(sin.f64 eps)
accuracy	0.0	(cos.f64 eps)
accuracy	0.00390625	(/.f64 (sin.f64 eps) (cos.f64 eps))
accuracy	2.2795654041392144	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
accuracy	0.02734375	(.f64 (-.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal 1/3 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) (*.f64 eps eps) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) eps)
accuracy	0.0390625	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
accuracy	0.17304247087563018	#s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (-.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal 1/3 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) (*.f64 eps eps) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) eps))
accuracy	0.23828125	(*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))

Samples

106.0ms	172×	0	valid
101.0ms	82×	1	valid
24.0ms	2×	5	exit

Compiler

Compiled 669 to 62 computations (90.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 164.0ms

ival-tan: 53.0ms (32.4% of total)

ival-mult: 40.0ms (24.4% of total)

ival-div: 15.0ms (9.2% of total)

ival-add: 15.0ms (9.2% of total)

adjust: 12.0ms (7.3% of total)

ival-sub: 7.0ms (4.3% of total)

ival-pow2: 6.0ms (3.7% of total)

const: 5.0ms (3.1% of total)

ival-cos: 4.0ms (2.4% of total)

ival-sin: 4.0ms (2.4% of total)

ival-neg: 3.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series72.0ms (0.5%)

Memory

-13.8MiB live, 88.4MiB allocated

Counts

26 → 165

Calls

Call 1

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

Outputs
(+ 1 (* 1/3 (pow eps 2)))
(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/2 (* 1/6 (pow eps 2))))))
(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/2 (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ 5/24 (* 5/72 (pow eps 2)))))))))
(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/2 (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ 5/24 (+ (* 5/72 (pow eps 2)) (* (pow x 2) (+ 61/720 (* 61/2160 (pow eps 2))))))))))))
1/3
(+ 1/3 (* 1/6 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/6 (* 5/72 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/72 (* 61/2160 (pow x 2)))))))
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* 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 (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/2 (/ (sin eps) (cos eps))))) (cos eps)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1/2 (/ (sin eps) (cos eps))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (/ (* (sin eps) (- (* -1/2 (/ (sin eps) (cos eps))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (cos eps))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (* -1/2 (/ (sin eps) (cos eps)))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* 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)))
(/ 1 eps)
(+ (* -1 (/ (pow x 2) (pow eps 3))) (/ 1 eps))
(+ (* (pow x 2) (- (/ x (pow eps 4)) (/ 1 (pow eps 3)))) (/ 1 eps))
(+ (* (pow x 2) (- (* x (+ (* -1 (/ (pow x 2) (pow eps 6))) (/ 1 (pow eps 4)))) (/ 1 (pow eps 3)))) (/ 1 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)
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 5/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 5/24 (* 61/720 (pow x 2)))))))
(+ eps (* 1/2 (* eps (pow x 2))))
(+ eps (* (pow x 2) (+ (* 5/24 (* eps (pow x 2))) (* 1/2 eps))))
(+ eps (* (pow x 2) (+ (* 1/2 eps) (* (pow x 2) (+ (* 61/720 (* eps (pow x 2))) (* 5/24 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))))))))
(+ eps (* (pow eps 2) x))
(+ eps (* x (+ (* eps x) (pow eps 2))))
(+ eps (* x (+ (* x (+ eps (* x (- (* eps (+ eps (* -1/6 eps))) (* -1/2 (pow eps 2)))))) (pow eps 2))))
(* x (+ eps (* x (+ 1 (* x (- (+ eps (* -1/6 eps)) (* -1/2 eps)))))))
(* x (+ eps (* x (+ 1 (* x (- (+ eps (+ (* -1/6 eps) (* 2/3 x))) (* -1/2 eps)))))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/18 (pow x 2))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/18 (* 31/1080 (pow x 2))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 31/1080 (* 173/15120 (pow x 2))))))))
(+ (* (pow x 2) (- (* -1/2 (/ (sin eps) (cos eps))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
(+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* 1/24 (/ (sin eps) (cos eps))) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
(+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (* (pow x 2) (- (+ (* 1/24 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* -1/720 (/ (sin eps) (cos eps))) (+ (* -2/15 (/ (sin eps) (cos eps))) (+ (* -1/120 (/ (sin eps) (cos eps))) (* 1/18 (/ (sin eps) (cos eps)))))))) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
(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))))
(* eps (+ 1 (* 1/3 (pow eps 2))))
(+ (* eps (* (pow x 2) (+ 1/2 (* 1/6 (pow eps 2))))) (* eps (+ 1 (* 1/3 (pow eps 2)))))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow x 2) (+ (* eps (* (pow x 2) (+ 5/24 (* 5/72 (pow eps 2))))) (* eps (+ 1/2 (* 1/6 (pow eps 2)))))))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow x 2) (+ (* eps (+ 1/2 (* 1/6 (pow eps 2)))) (* (pow x 2) (+ (* eps (* (pow x 2) (+ 61/720 (* 61/2160 (pow eps 2))))) (* eps (+ 5/24 (* 5/72 (pow eps 2)))))))))
-1
(- (/ x eps) 1)
(- (* x (+ (/ 1 eps) (/ x (pow eps 2)))) 1)
(- (* x (+ (* x (+ (* -2 (/ x (pow eps 3))) (/ 1 (pow eps 2)))) (/ 1 eps))) 1)
(* (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))))))))
(- (+ (cos x) (* (pow eps 2) (+ (* 1/3 (cos x)) (* 1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x))))
(+ (* 1/3 (cos x)) (* 1/3 (/ (pow (sin x) 2) (cos x))))
(/ (- (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(/ (- (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(/ 1 x)
(/ (+ 1 (* -1 (/ (pow eps 2) (pow x 2)))) x)
(/ (- (+ 1 (/ (pow eps 3) (pow x 3))) (/ (pow eps 2) (pow x 2))) x)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow eps 4)) (pow eps 4)) (pow x 4)))) (+ (* -1 (/ (pow eps 3) (pow x 3))) (/ (pow eps 2) (pow x 2)))) x)
(/ (sin (+ eps x)) (cos (+ eps x)))
x
(* x (+ 1 (/ eps x)))
(- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))
(* eps (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))))
(+ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (/ (pow (sin x) 2) (cos x)))
(+ eps (/ (* eps (+ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (/ (pow (sin x) 2) (cos x)))) (cos x)))
(/ (+ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (/ (pow (sin x) 2) (cos x))) (cos x))
(* 1/3 (/ (pow (sin x) 2) (cos x)))
(- (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(pow (sin x) 2)
(* eps (- (+ (cos x) (* (pow eps 2) (+ (* 1/3 (cos x)) (* 1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(+ 1 (* -1 (/ eps x)))
(+ 1 (+ (* -1 (/ eps x)) (* -1 (/ (pow eps 2) (pow x 2)))))
(- (+ 1 (+ (* -1 (/ eps x)) (* 2 (/ (pow eps 3) (pow x 3))))) (/ (pow eps 2) (pow x 2)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(* -1 (/ (- (/ (pow eps 2) (pow x 2)) 1) x))
(* -1 (/ (- (* -1 (/ (pow eps 3) (pow x 3))) (+ 1 (* -1 (/ (pow eps 2) (pow x 2))))) x))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow eps 4) x)) (/ (pow eps 4) x)) (* -1 (pow eps 3))) (pow x 3))) (+ 1 (* -1 (/ (pow eps 2) (pow x 2))))) x))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(+ 1 (* -1 (/ (+ eps (/ (pow eps 2) x)) x)))
(+ 1 (* -1 (/ (+ eps (* -1 (/ (+ (* -1 (pow eps 2)) (* 2 (/ (pow eps 3) x))) x))) x)))
(/ (* eps (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (cos x))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))))) (pow (cos x) 2))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1/3 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2))))))) (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ (cos x) (/ (* eps (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- (+ (cos x) (* eps (- (* eps (- (* 1/3 (cos x)) (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- (+ (cos x) (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/3 (cos x)) (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (cos x))) (* -1/3 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (cos x)))))) (* 1/3 (cos x))) (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (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)))))
(* 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)))
(+ (* -1 (/ (pow eps 2) (pow x 3))) (/ 1 x))
(+ (* (pow eps 2) (- (/ eps (pow x 4)) (/ 1 (pow x 3)))) (/ 1 x))
(+ (* (pow eps 2) (- (* eps (+ (* -1 (/ (pow eps 2) (pow x 6))) (/ 1 (pow x 4)))) (/ 1 (pow x 3)))) (/ 1 x))
(/ (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)))
(/ (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 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(* eps (- (+ (cos x) (* (pow eps 2) (- (* 1/3 (cos x)) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (- (* 2/15 (cos x)) (* -2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (- (+ (* 2/15 (cos x)) (* (pow eps 2) (- (* 17/315 (cos x)) (* -17/315 (/ (pow (sin x) 2) (cos x)))))) (* -2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(+ 1 (* eps (- (* -1 (/ eps (pow x 2))) (/ 1 x))))
(+ 1 (* eps (- (* eps (- (* 2 (/ eps (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(* (pow eps 2) (+ (* 1/3 (cos x)) (* 1/3 (/ (pow (sin x) 2) (cos x)))))
(* (pow eps 2) (- (+ (* 1/3 (cos x)) (+ (* 1/3 (/ (pow (sin x) 2) (cos x))) (/ (cos x) (pow eps 2)))) (* -1 (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))
(sin eps)
(cos eps)
(/ (+ 1 (* -1 (/ (pow x 2) (pow eps 2)))) eps)
(/ (- (+ 1 (/ (pow x 3) (pow eps 3))) (/ (pow x 2) (pow eps 2))) eps)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow x 4)) (pow x 4)) (pow eps 4)))) (+ (* -1 (/ (pow x 3) (pow eps 3))) (/ (pow x 2) (pow eps 2)))) eps)
(* eps (+ 1 (/ x eps)))
(* 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)))))
(/ (* (pow eps 2) (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
(* eps (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))
(* (pow eps 3) (+ (* 1/3 (cos x)) (* 1/3 (/ (pow (sin x) 2) (cos x)))))
(* (pow eps 3) (- (+ (* 1/3 (cos x)) (+ (* 1/3 (/ (pow (sin x) 2) (cos x))) (/ (cos x) (pow eps 2)))) (* -1 (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))
(- (+ (/ x eps) (/ (pow x 2) (pow eps 2))) 1)
(- (+ (* -2 (/ (pow x 3) (pow eps 3))) (/ x eps)) (+ 1 (* -1 (/ (pow x 2) (pow eps 2)))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(* -1 (/ (- (/ (pow x 2) (pow eps 2)) 1) eps))
(* -1 (/ (- (* -1 (/ (pow x 3) (pow eps 3))) (+ 1 (* -1 (/ (pow x 2) (pow eps 2))))) eps))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow x 4) eps)) (/ (pow x 4) eps)) (* -1 (pow x 3))) (pow eps 3))) (+ 1 (* -1 (/ (pow x 2) (pow eps 2))))) eps))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -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 (/ (* (pow eps 2) (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x))) (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps))))
(* -1 (/ (* eps (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))
(* -1 (* eps (+ (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x)))))
(* -1 (* (pow eps 3) (+ (* -1 (+ (* 1/3 (cos x)) (* 1/3 (/ (pow (sin x) 2) (cos x))))) (* -1 (/ (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))) (pow eps 2))))))
(- (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) eps))) eps)) 1)
(- (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -2 (/ (pow x 3) eps)) (* -1 (pow x 2))) eps))) eps)) 1)

Calls

6 calls:

Time	Variable		Point	Expression
20.0ms	x	@	0	((- (+ (* (+ (* (cos x) 1/3) (* 1/3 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (cos x)) (/ (pow (sin x) 2) (neg (cos x)))) (+ (* (cos x) 1/3) (* 1/3 (/ (pow (sin x) 2) (cos x)))) (/ (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (cos x)) (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (sin eps) (cos eps) (/ (/ (* (+ eps x) (- x eps)) (+ (* (+ eps x) eps) (* x x))) (- x eps)) (- (tan (* (/ (/ (* (+ eps x) (- x eps)) (+ (* (+ eps x) eps) (* x x))) (- x eps)) (+ (* eps (+ eps x)) (* x x)))) (tan x)) (tan (* (/ (/ (* (+ eps x) (- x eps)) (+ (* (+ eps x) eps) (* x x))) (- x eps)) (+ (* eps (+ eps x)) (* x x)))) (* (/ (/ (* (+ eps x) (- x eps)) (+ (* (+ eps x) eps) (* x x))) (- x eps)) (+ (* eps (+ eps x)) (* x x))) (- (cos x) (/ (pow (sin x) 2) (neg (cos x)))) (/ (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (cos x)) (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (* (- (cos x) (/ (pow (sin x) 2) (neg (cos x)))) eps) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (- (tan (+ x eps)) (tan x)) (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (* 1/3 (/ (pow (sin x) 2) (cos x))) (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (pow (sin x) 2) (* (- (+ (* (+ (* (cos x) 1/3) (* 1/3 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (cos x)) (/ (pow (sin x) 2) (neg (cos x)))) eps) (/ (* (+ eps x) (- x eps)) (+ (* (+ eps x) eps) (* x x))) (/ (pow (sin x) 2) (pow (cos x) 2)))
9.0ms	x	@	inf	((- (+ (* (+ (* (cos x) 1/3) (* 1/3 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (cos x)) (/ (pow (sin x) 2) (neg (cos x)))) (+ (* (cos x) 1/3) (* 1/3 (/ (pow (sin x) 2) (cos x)))) (/ (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (cos x)) (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (sin eps) (cos eps) (/ (/ (* (+ eps x) (- x eps)) (+ (* (+ eps x) eps) (* x x))) (- x eps)) (- (tan (* (/ (/ (* (+ eps x) (- x eps)) (+ (* (+ eps x) eps) (* x x))) (- x eps)) (+ (* eps (+ eps x)) (* x x)))) (tan x)) (tan (* (/ (/ (* (+ eps x) (- x eps)) (+ (* (+ eps x) eps) (* x x))) (- x eps)) (+ (* eps (+ eps x)) (* x x)))) (* (/ (/ (* (+ eps x) (- x eps)) (+ (* (+ eps x) eps) (* x x))) (- x eps)) (+ (* eps (+ eps x)) (* x x))) (- (cos x) (/ (pow (sin x) 2) (neg (cos x)))) (/ (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (cos x)) (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (* (- (cos x) (/ (pow (sin x) 2) (neg (cos x)))) eps) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (- (tan (+ x eps)) (tan x)) (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (* 1/3 (/ (pow (sin x) 2) (cos x))) (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (pow (sin x) 2) (* (- (+ (* (+ (* (cos x) 1/3) (* 1/3 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (cos x)) (/ (pow (sin x) 2) (neg (cos x)))) eps) (/ (* (+ eps x) (- x eps)) (+ (* (+ eps x) eps) (* x x))) (/ (pow (sin x) 2) (pow (cos x) 2)))
9.0ms	x	@	-inf	((- (+ (* (+ (* (cos x) 1/3) (* 1/3 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (cos x)) (/ (pow (sin x) 2) (neg (cos x)))) (+ (* (cos x) 1/3) (* 1/3 (/ (pow (sin x) 2) (cos x)))) (/ (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (cos x)) (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (sin eps) (cos eps) (/ (/ (* (+ eps x) (- x eps)) (+ (* (+ eps x) eps) (* x x))) (- x eps)) (- (tan (* (/ (/ (* (+ eps x) (- x eps)) (+ (* (+ eps x) eps) (* x x))) (- x eps)) (+ (* eps (+ eps x)) (* x x)))) (tan x)) (tan (* (/ (/ (* (+ eps x) (- x eps)) (+ (* (+ eps x) eps) (* x x))) (- x eps)) (+ (* eps (+ eps x)) (* x x)))) (* (/ (/ (* (+ eps x) (- x eps)) (+ (* (+ eps x) eps) (* x x))) (- x eps)) (+ (* eps (+ eps x)) (* x x))) (- (cos x) (/ (pow (sin x) 2) (neg (cos x)))) (/ (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (cos x)) (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (* (- (cos x) (/ (pow (sin x) 2) (neg (cos x)))) eps) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (- (tan (+ x eps)) (tan x)) (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (* 1/3 (/ (pow (sin x) 2) (cos x))) (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (pow (sin x) 2) (* (- (+ (* (+ (* (cos x) 1/3) (* 1/3 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (cos x)) (/ (pow (sin x) 2) (neg (cos x)))) eps) (/ (* (+ eps x) (- x eps)) (+ (* (+ eps x) eps) (* x x))) (/ (pow (sin x) 2) (pow (cos x) 2)))
9.0ms	eps	@	0	((- (+ (* (+ (* (cos x) 1/3) (* 1/3 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (cos x)) (/ (pow (sin x) 2) (neg (cos x)))) (+ (* (cos x) 1/3) (* 1/3 (/ (pow (sin x) 2) (cos x)))) (/ (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (cos x)) (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (sin eps) (cos eps) (/ (/ (* (+ eps x) (- x eps)) (+ (* (+ eps x) eps) (* x x))) (- x eps)) (- (tan (* (/ (/ (* (+ eps x) (- x eps)) (+ (* (+ eps x) eps) (* x x))) (- x eps)) (+ (* eps (+ eps x)) (* x x)))) (tan x)) (tan (* (/ (/ (* (+ eps x) (- x eps)) (+ (* (+ eps x) eps) (* x x))) (- x eps)) (+ (* eps (+ eps x)) (* x x)))) (* (/ (/ (* (+ eps x) (- x eps)) (+ (* (+ eps x) eps) (* x x))) (- x eps)) (+ (* eps (+ eps x)) (* x x))) (- (cos x) (/ (pow (sin x) 2) (neg (cos x)))) (/ (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (cos x)) (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (* (- (cos x) (/ (pow (sin x) 2) (neg (cos x)))) eps) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (- (tan (+ x eps)) (tan x)) (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (* 1/3 (/ (pow (sin x) 2) (cos x))) (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (pow (sin x) 2) (* (- (+ (* (+ (* (cos x) 1/3) (* 1/3 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (cos x)) (/ (pow (sin x) 2) (neg (cos x)))) eps) (/ (* (+ eps x) (- x eps)) (+ (* (+ eps x) eps) (* x x))) (/ (pow (sin x) 2) (pow (cos x) 2)))
7.0ms	eps	@	-inf	((- (+ (* (+ (* (cos x) 1/3) (* 1/3 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (cos x)) (/ (pow (sin x) 2) (neg (cos x)))) (+ (* (cos x) 1/3) (* 1/3 (/ (pow (sin x) 2) (cos x)))) (/ (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (cos x)) (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (sin eps) (cos eps) (/ (/ (* (+ eps x) (- x eps)) (+ (* (+ eps x) eps) (* x x))) (- x eps)) (- (tan (* (/ (/ (* (+ eps x) (- x eps)) (+ (* (+ eps x) eps) (* x x))) (- x eps)) (+ (* eps (+ eps x)) (* x x)))) (tan x)) (tan (* (/ (/ (* (+ eps x) (- x eps)) (+ (* (+ eps x) eps) (* x x))) (- x eps)) (+ (* eps (+ eps x)) (* x x)))) (* (/ (/ (* (+ eps x) (- x eps)) (+ (* (+ eps x) eps) (* x x))) (- x eps)) (+ (* eps (+ eps x)) (* x x))) (- (cos x) (/ (pow (sin x) 2) (neg (cos x)))) (/ (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (cos x)) (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (* (- (cos x) (/ (pow (sin x) 2) (neg (cos x)))) eps) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (- (tan (+ x eps)) (tan x)) (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (* 1/3 (/ (pow (sin x) 2) (cos x))) (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (pow (sin x) 2) (* (- (+ (* (+ (* (cos x) 1/3) (* 1/3 (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (cos x)) (/ (pow (sin x) 2) (neg (cos x)))) eps) (/ (* (+ eps x) (- x eps)) (+ (* (+ eps x) eps) (* x x))) (/ (pow (sin x) 2) (pow (cos x) 2)))

simplify213.0ms (1.5%)

Memory

-8.2MiB live, 217.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	818	4201
1	2842	3989
0	8437	3771

Stop Event

1×	iter limit
1×	node limit

Counts

165 → 163

Calls

Call 1

Inputs
(+ 1 (* 1/3 (pow eps 2)))
(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/2 (* 1/6 (pow eps 2))))))
(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/2 (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ 5/24 (* 5/72 (pow eps 2)))))))))
(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/2 (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ 5/24 (+ (* 5/72 (pow eps 2)) (* (pow x 2) (+ 61/720 (* 61/2160 (pow eps 2))))))))))))
1/3
(+ 1/3 (* 1/6 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/6 (* 5/72 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/72 (* 61/2160 (pow x 2)))))))
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* 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 (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/2 (/ (sin eps) (cos eps))))) (cos eps)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1/2 (/ (sin eps) (cos eps))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (/ (* (sin eps) (- (* -1/2 (/ (sin eps) (cos eps))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (cos eps))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (* -1/2 (/ (sin eps) (cos eps)))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* 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)))
(/ 1 eps)
(+ (* -1 (/ (pow x 2) (pow eps 3))) (/ 1 eps))
(+ (* (pow x 2) (- (/ x (pow eps 4)) (/ 1 (pow eps 3)))) (/ 1 eps))
(+ (* (pow x 2) (- (* x (+ (* -1 (/ (pow x 2) (pow eps 6))) (/ 1 (pow eps 4)))) (/ 1 (pow eps 3)))) (/ 1 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)
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 5/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 5/24 (* 61/720 (pow x 2)))))))
(+ eps (* 1/2 (* eps (pow x 2))))
(+ eps (* (pow x 2) (+ (* 5/24 (* eps (pow x 2))) (* 1/2 eps))))
(+ eps (* (pow x 2) (+ (* 1/2 eps) (* (pow x 2) (+ (* 61/720 (* eps (pow x 2))) (* 5/24 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))))))))
(+ eps (* (pow eps 2) x))
(+ eps (* x (+ (* eps x) (pow eps 2))))
(+ eps (* x (+ (* x (+ eps (* x (- (* eps (+ eps (* -1/6 eps))) (* -1/2 (pow eps 2)))))) (pow eps 2))))
(* x (+ eps (* x (+ 1 (* x (- (+ eps (* -1/6 eps)) (* -1/2 eps)))))))
(* x (+ eps (* x (+ 1 (* x (- (+ eps (+ (* -1/6 eps) (* 2/3 x))) (* -1/2 eps)))))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/18 (pow x 2))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/18 (* 31/1080 (pow x 2))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 31/1080 (* 173/15120 (pow x 2))))))))
(+ (* (pow x 2) (- (* -1/2 (/ (sin eps) (cos eps))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
(+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* 1/24 (/ (sin eps) (cos eps))) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
(+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (* (pow x 2) (- (+ (* 1/24 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* -1/720 (/ (sin eps) (cos eps))) (+ (* -2/15 (/ (sin eps) (cos eps))) (+ (* -1/120 (/ (sin eps) (cos eps))) (* 1/18 (/ (sin eps) (cos eps)))))))) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
(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))))
(* eps (+ 1 (* 1/3 (pow eps 2))))
(+ (* eps (* (pow x 2) (+ 1/2 (* 1/6 (pow eps 2))))) (* eps (+ 1 (* 1/3 (pow eps 2)))))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow x 2) (+ (* eps (* (pow x 2) (+ 5/24 (* 5/72 (pow eps 2))))) (* eps (+ 1/2 (* 1/6 (pow eps 2)))))))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow x 2) (+ (* eps (+ 1/2 (* 1/6 (pow eps 2)))) (* (pow x 2) (+ (* eps (* (pow x 2) (+ 61/720 (* 61/2160 (pow eps 2))))) (* eps (+ 5/24 (* 5/72 (pow eps 2)))))))))
-1
(- (/ x eps) 1)
(- (* x (+ (/ 1 eps) (/ x (pow eps 2)))) 1)
(- (* x (+ (* x (+ (* -2 (/ x (pow eps 3))) (/ 1 (pow eps 2)))) (/ 1 eps))) 1)
(* (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))))))))
(- (+ (cos x) (* (pow eps 2) (+ (* 1/3 (cos x)) (* 1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x))))
(+ (* 1/3 (cos x)) (* 1/3 (/ (pow (sin x) 2) (cos x))))
(/ (- (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(/ (- (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(/ 1 x)
(/ (+ 1 (* -1 (/ (pow eps 2) (pow x 2)))) x)
(/ (- (+ 1 (/ (pow eps 3) (pow x 3))) (/ (pow eps 2) (pow x 2))) x)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow eps 4)) (pow eps 4)) (pow x 4)))) (+ (* -1 (/ (pow eps 3) (pow x 3))) (/ (pow eps 2) (pow x 2)))) x)
(/ (sin (+ eps x)) (cos (+ eps x)))
x
(* x (+ 1 (/ eps x)))
(- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))
(* eps (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))))
(+ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (/ (pow (sin x) 2) (cos x)))
(+ eps (/ (* eps (+ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (/ (pow (sin x) 2) (cos x)))) (cos x)))
(/ (+ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (/ (pow (sin x) 2) (cos x))) (cos x))
(* 1/3 (/ (pow (sin x) 2) (cos x)))
(- (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(pow (sin x) 2)
(* eps (- (+ (cos x) (* (pow eps 2) (+ (* 1/3 (cos x)) (* 1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(+ 1 (* -1 (/ eps x)))
(+ 1 (+ (* -1 (/ eps x)) (* -1 (/ (pow eps 2) (pow x 2)))))
(- (+ 1 (+ (* -1 (/ eps x)) (* 2 (/ (pow eps 3) (pow x 3))))) (/ (pow eps 2) (pow x 2)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(* -1 (/ (- (/ (pow eps 2) (pow x 2)) 1) x))
(* -1 (/ (- (* -1 (/ (pow eps 3) (pow x 3))) (+ 1 (* -1 (/ (pow eps 2) (pow x 2))))) x))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow eps 4) x)) (/ (pow eps 4) x)) (* -1 (pow eps 3))) (pow x 3))) (+ 1 (* -1 (/ (pow eps 2) (pow x 2))))) x))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(+ 1 (* -1 (/ (+ eps (/ (pow eps 2) x)) x)))
(+ 1 (* -1 (/ (+ eps (* -1 (/ (+ (* -1 (pow eps 2)) (* 2 (/ (pow eps 3) x))) x))) x)))
(/ (* eps (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (cos x))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))))) (pow (cos x) 2))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1/3 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2))))))) (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ (cos x) (/ (* eps (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- (+ (cos x) (* eps (- (* eps (- (* 1/3 (cos x)) (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- (+ (cos x) (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/3 (cos x)) (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (cos x))) (* -1/3 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (cos x)))))) (* 1/3 (cos x))) (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (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)))))
(* 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)))
(+ (* -1 (/ (pow eps 2) (pow x 3))) (/ 1 x))
(+ (* (pow eps 2) (- (/ eps (pow x 4)) (/ 1 (pow x 3)))) (/ 1 x))
(+ (* (pow eps 2) (- (* eps (+ (* -1 (/ (pow eps 2) (pow x 6))) (/ 1 (pow x 4)))) (/ 1 (pow x 3)))) (/ 1 x))
(/ (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)))
(/ (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 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(* eps (- (+ (cos x) (* (pow eps 2) (- (* 1/3 (cos x)) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (- (* 2/15 (cos x)) (* -2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (- (+ (* 2/15 (cos x)) (* (pow eps 2) (- (* 17/315 (cos x)) (* -17/315 (/ (pow (sin x) 2) (cos x)))))) (* -2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(+ 1 (* eps (- (* -1 (/ eps (pow x 2))) (/ 1 x))))
(+ 1 (* eps (- (* eps (- (* 2 (/ eps (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(* (pow eps 2) (+ (* 1/3 (cos x)) (* 1/3 (/ (pow (sin x) 2) (cos x)))))
(* (pow eps 2) (- (+ (* 1/3 (cos x)) (+ (* 1/3 (/ (pow (sin x) 2) (cos x))) (/ (cos x) (pow eps 2)))) (* -1 (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))
(sin eps)
(cos eps)
(/ (+ 1 (* -1 (/ (pow x 2) (pow eps 2)))) eps)
(/ (- (+ 1 (/ (pow x 3) (pow eps 3))) (/ (pow x 2) (pow eps 2))) eps)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow x 4)) (pow x 4)) (pow eps 4)))) (+ (* -1 (/ (pow x 3) (pow eps 3))) (/ (pow x 2) (pow eps 2)))) eps)
(* eps (+ 1 (/ x eps)))
(* 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)))))
(/ (* (pow eps 2) (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
(* eps (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))
(* (pow eps 3) (+ (* 1/3 (cos x)) (* 1/3 (/ (pow (sin x) 2) (cos x)))))
(* (pow eps 3) (- (+ (* 1/3 (cos x)) (+ (* 1/3 (/ (pow (sin x) 2) (cos x))) (/ (cos x) (pow eps 2)))) (* -1 (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))
(- (+ (/ x eps) (/ (pow x 2) (pow eps 2))) 1)
(- (+ (* -2 (/ (pow x 3) (pow eps 3))) (/ x eps)) (+ 1 (* -1 (/ (pow x 2) (pow eps 2)))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(* -1 (/ (- (/ (pow x 2) (pow eps 2)) 1) eps))
(* -1 (/ (- (* -1 (/ (pow x 3) (pow eps 3))) (+ 1 (* -1 (/ (pow x 2) (pow eps 2))))) eps))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow x 4) eps)) (/ (pow x 4) eps)) (* -1 (pow x 3))) (pow eps 3))) (+ 1 (* -1 (/ (pow x 2) (pow eps 2))))) eps))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -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 (/ (* (pow eps 2) (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x))) (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps))))
(* -1 (/ (* eps (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))
(* -1 (* eps (+ (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x)))))
(* -1 (* (pow eps 3) (+ (* -1 (+ (* 1/3 (cos x)) (* 1/3 (/ (pow (sin x) 2) (cos x))))) (* -1 (/ (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))) (pow eps 2))))))
(- (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) eps))) eps)) 1)
(- (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -2 (/ (pow x 3) eps)) (* -1 (pow x 2))) eps))) eps)) 1)

Outputs
(+ 1 (* 1/3 (pow eps 2)))
(fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))
(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/2 (* 1/6 (pow eps 2))))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 x x) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)))
(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/2 (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ 5/24 (* 5/72 (pow eps 2)))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/72 binary64) (.f64 eps eps) #s(literal 5/24 binary64)) (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal 1/2 binary64))) (.f64 x x) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)))
(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/2 (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ 5/24 (+ (* 5/72 (pow eps 2)) (* (pow x 2) (+ 61/720 (* 61/2160 (pow eps 2))))))))))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 61/2160 binary64) (.f64 eps eps) #s(literal 61/720 binary64)) (.f64 x x) (fma.f64 #s(literal 5/72 binary64) (.f64 eps eps) #s(literal 5/24 binary64))) (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal 1/2 binary64))) (.f64 x x) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/6 (pow x 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/6 (* 5/72 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 5/72 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/72 (* 61/2160 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 61/2160 binary64) (.f64 x x) #s(literal 5/72 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(/ (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 x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* 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)))
(fma.f64 (fma.f64 (neg.f64 x) (-.f64 (pow.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) #s(literal 3 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/2 (/ (sin eps) (cos eps))))) (cos eps)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (+.f64 (fma.f64 (neg.f64 x) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 eps) (fma.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 eps)) (cos.f64 eps)))) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) 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 (- (* -1/2 (/ (sin eps) (cos eps))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 1/2 binary64) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) 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 (/ (* (sin eps) (- (* -1/2 (/ (sin eps) (cos eps))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (cos eps))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (* -1/2 (/ (sin eps) (cos eps)))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (fma.f64 (neg.f64 (sin.f64 eps)) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 1/2 binary64) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) (cos.f64 eps)) (/.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 1/2 binary64) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)))) 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 (* (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 x (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps)) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
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x
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(* eps (- (+ (cos x) (/ (* eps (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (cos x)))))
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(* eps (- (+ (cos x) (* eps (- (* eps (- (* 1/3 (cos x)) (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
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(* eps (- (+ (cos x) (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/3 (cos x)) (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (cos x))) (* -1/3 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (cos x)))))) (* 1/3 (cos x))) (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
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(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* 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)))))
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(* 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)))))
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(* 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)))))
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(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
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(* eps (+ 1 (* -1/6 (pow eps 2))))
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(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
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(+ 1 (* -1/2 (pow eps 2)))
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(+ (* -1 (/ (pow eps 2) (pow x 3))) (/ 1 x))
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(+ (* (pow eps 2) (- (* eps (+ (* -1 (/ (pow eps 2) (pow x 6))) (/ 1 (pow x 4)))) (/ 1 (pow x 3)))) (/ 1 x))
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(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
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(+.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps 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 (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)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) eps (/.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 (fma.f64 (neg.f64 eps) (+.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)) (/.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))) eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) eps (/.f64 (sin.f64 x) (cos.f64 x)))
(/ (pow (sin x) 2) (cos x))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))
(+ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (pow (sin x) 2) (cos x)))
(fma.f64 (*.f64 eps (sin.f64 x)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))
(* eps (+ 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 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(fma.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)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps eps)
(+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(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)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(* eps (- (+ (cos x) (* (pow eps 2) (- (* 1/3 (cos x)) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (cos.f64 x))) (*.f64 eps eps) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) eps)
(* eps (- (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (- (* 2/15 (cos x)) (* -2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 2/15 binary64) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (cos.f64 x)))) (*.f64 eps eps) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) eps)
(* eps (- (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (- (+ (* 2/15 (cos x)) (* (pow eps 2) (- (* 17/315 (cos x)) (* -17/315 (/ (pow (sin x) 2) (cos x)))))) (* -2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 17/315 binary64) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) (.f64 eps eps) (.f64 #s(literal 2/15 binary64) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))) (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (cos.f64 x)))) (*.f64 eps eps) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) eps)
(+ 1 (* eps (- (* -1 (/ eps (pow x 2))) (/ 1 x))))
(fma.f64 (-.f64 (/.f64 (neg.f64 eps) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) eps #s(literal 1 binary64))
(+ 1 (* eps (- (* eps (- (* 2 (/ eps (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(fma.f64 (-.f64 (.f64 (-.f64 (.f64 (/.f64 eps (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) eps) (/.f64 #s(literal 1 binary64) x)) eps #s(literal 1 binary64))
(* (pow eps 2) (+ (* 1/3 (cos x)) (* 1/3 (/ (pow (sin x) 2) (cos x)))))
(.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (cos.f64 x))) (*.f64 eps eps))
(* (pow eps 2) (- (+ (* 1/3 (cos x)) (+ (* 1/3 (/ (pow (sin x) 2) (cos x))) (/ (cos x) (pow eps 2)))) (* -1 (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))
(.f64 (+.f64 (fma.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (cos.f64 x)) (/.f64 (cos.f64 x) (.f64 eps eps))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 eps eps) (cos.f64 x)))) (*.f64 eps eps))
(sin eps)
(sin.f64 eps)
(cos eps)
(cos.f64 eps)
(/ (+ 1 (* -1 (/ (pow x 2) (pow eps 2)))) eps)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x eps) (/.f64 x eps))) eps)
(/ (- (+ 1 (/ (pow x 3) (pow eps 3))) (/ (pow x 2) (pow eps 2))) eps)
(/.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 x eps) (/.f64 x eps))) eps)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow x 4)) (pow x 4)) (pow eps 4)))) (+ (* -1 (/ (pow x 3) (pow eps 3))) (/ (pow x 2) (pow eps 2)))) eps)
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 4 binary64)))) (fma.f64 (/.f64 x eps) (/.f64 x eps) (pow.f64 (/.f64 (neg.f64 x) eps) #s(literal 3 binary64)))) eps)
(* eps (+ 1 (/ x eps)))
(fma.f64 (/.f64 x eps) 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)
(/ (* (pow eps 2) (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
(/.f64 (.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)) (.f64 eps eps)) (cos.f64 x))
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (sin.f64 x) eps) (fma.f64 (sin.f64 x) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 x)) (/.f64 #s(literal 1 binary64) eps))) (.f64 eps eps))
(/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
(/.f64 (*.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) (cos.f64 x))
(* eps (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))
(*.f64 (fma.f64 (sin.f64 x) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 x)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(* (pow eps 3) (+ (* 1/3 (cos x)) (* 1/3 (/ (pow (sin x) 2) (cos x)))))
(.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (cos.f64 x))) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (- (+ (* 1/3 (cos x)) (+ (* 1/3 (/ (pow (sin x) 2) (cos x))) (/ (cos x) (pow eps 2)))) (* -1 (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))
(.f64 (+.f64 (fma.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (cos.f64 x)) (/.f64 (cos.f64 x) (.f64 eps eps))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 eps eps) (cos.f64 x)))) (pow.f64 eps #s(literal 3 binary64)))
(- (+ (/ x eps) (/ (pow x 2) (pow eps 2))) 1)
(-.f64 (fma.f64 (/.f64 x eps) (/.f64 x eps) (/.f64 x eps)) #s(literal 1 binary64))
(- (+ (* -2 (/ (pow x 3) (pow eps 3))) (/ x eps)) (+ 1 (* -1 (/ (pow x 2) (pow eps 2)))))
(+.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64)) (*.f64 (/.f64 x eps) (/.f64 x 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)))
(* -1 (/ (- (/ (pow x 2) (pow eps 2)) 1) eps))
(/.f64 (-.f64 (*.f64 (/.f64 x eps) (/.f64 x eps)) #s(literal 1 binary64)) (neg.f64 eps))
(* -1 (/ (- (* -1 (/ (pow x 3) (pow eps 3))) (+ 1 (* -1 (/ (pow x 2) (pow eps 2))))) eps))
(/.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 x) eps) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x eps) (/.f64 x eps)))) (neg.f64 eps))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow x 4) eps)) (/ (pow x 4) eps)) (* -1 (pow x 3))) (pow eps 3))) (+ 1 (* -1 (/ (pow x 2) (pow eps 2))))) eps))
(/.f64 (-.f64 (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x eps) (/.f64 x eps)))) (neg.f64 eps))
(/ (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)))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64)))
(* -1 (* eps (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))))
(.f64 (neg.f64 (.f64 eps (sin.f64 x))) (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(* -1 (* eps (+ (* -1 (/ (pow (sin x) 2) (* eps (cos x)))) (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))))
(*.f64 (neg.f64 eps) (fma.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 x) (/.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps)) (cos.f64 x))))
(* -1 (/ (* (pow eps 2) (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))
(/.f64 (.f64 (.f64 (*.f64 eps eps) (sin.f64 x)) (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (cos.f64 x)))
(* (pow eps 2) (+ (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x))) (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps))))
(.f64 (neg.f64 (fma.f64 (sin.f64 x) (/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 x)) (/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps))) (.f64 eps eps))
(* -1 (/ (* eps (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))
(/.f64 (.f64 (neg.f64 (.f64 eps (sin.f64 x))) (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) (cos.f64 x))
(* -1 (* eps (+ (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x)))))
(*.f64 (neg.f64 eps) (fma.f64 (sin.f64 x) (/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 x)) (/.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(* -1 (* (pow eps 3) (+ (* -1 (+ (* 1/3 (cos x)) (* 1/3 (/ (pow (sin x) 2) (cos x))))) (* -1 (/ (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))) (pow eps 2))))))
(.f64 (fma.f64 #s(literal -1/3 binary64) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (/.f64 (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (.f64 (neg.f64 eps) eps))) (pow.f64 (neg.f64 eps) #s(literal 3 binary64)))
(- (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) eps))) eps)) 1)
(-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 x x) eps) x)) (neg.f64 eps)) #s(literal 1 binary64))
(- (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -2 (/ (pow x 3) eps)) (* -1 (pow x 2))) eps))) eps)) 1)
(-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal -2 binary64) (*.f64 x x)) eps) x)) (neg.f64 eps)) #s(literal 1 binary64))

rewrite211.0ms (1.5%)

Memory

-11.5MiB live, 188.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	632
0	117	626
1	456	461
2	3827	461
0	8348	452

Stop Event

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

Counts

26 → 349

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))) #s(literal 2 binary64)) (.f64 (-.f64 (cos.f64 x) (.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))) (-.f64 (cos.f64 x) (.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))))) (-.f64 (.f64 (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))) (-.f64 (cos.f64 x) (.f64 (sin.f64 x) (neg.f64 (tan.f64 x))))))
(/.f64 (fma.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (-.f64 (cos.f64 x) (.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 (cos.f64 x) (.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))) (-.f64 (cos.f64 x) (.f64 (sin.f64 x) (neg.f64 (tan.f64 x))))) (.f64 (.f64 (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (tan.f64 x))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (.f64 eps eps) (*.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) (fma.f64 (sin.f64 x) (neg.f64 (tan.f64 x)) (cos.f64 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) (neg.f64 (tan.f64 x))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (sin.f64 x) (neg.f64 (tan.f64 x))) (fma.f64 (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) (fma.f64 (sin.f64 x) (neg.f64 (tan.f64 x)) (cos.f64 x))) (pow.f64 (fma.f64 (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) (cos.f64 x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (cos.f64 x)) (.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))) (cos.f64 x)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))) (cos.f64 x)) (cos.f64 x)))
(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (neg.f64 (cos.f64 x))) (.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))) (cos.f64 x)) (neg.f64 (cos.f64 x))))
(/.f64 (-.f64 (.f64 (fma.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (cos.f64 x)) (.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) (.f64 (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))))) (pow.f64 (.f64 (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) (.f64 (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))))) (pow.f64 (.f64 (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))) #s(literal 2 binary64))) (cos.f64 x)))
(/.f64 (-.f64 (.f64 (fma.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (neg.f64 (cos.f64 x))) (.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) (.f64 (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))))) (pow.f64 (.f64 (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) (.f64 (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))))) (pow.f64 (.f64 (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))) #s(literal 2 binary64))) (neg.f64 (cos.f64 x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal 2 binary64))) (fma.f64 (.f64 eps eps) (*.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) (fma.f64 (sin.f64 x) (neg.f64 (tan.f64 x)) (cos.f64 x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) (neg.f64 (tan.f64 x))) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 x) (neg.f64 (tan.f64 x))) (fma.f64 (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) (fma.f64 (sin.f64 x) (neg.f64 (tan.f64 x)) (cos.f64 x))) (pow.f64 (fma.f64 (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) (cos.f64 x)) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))) (.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))))
(fma.f64 (.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) (fabs.f64 eps)) (fabs.f64 eps) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))))
(fma.f64 (.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) (neg.f64 eps)) (neg.f64 eps) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))))
(fma.f64 (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))) (.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))))
(fma.f64 (.f64 eps (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))) eps (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))))
(fma.f64 (fabs.f64 eps) (.f64 (fabs.f64 eps) (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))))
(fma.f64 (neg.f64 eps) (.f64 (neg.f64 eps) (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))))
(fma.f64 (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))))
(fma.f64 eps (.f64 eps (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))))
(fma.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) (.f64 eps eps) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) (cos.f64 x)) #s(literal 2 binary64)) (fma.f64 (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) (fma.f64 (sin.f64 x) (neg.f64 (tan.f64 x)) (cos.f64 x)))) (/.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal 2 binary64)) (fma.f64 (.f64 eps eps) (*.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) (fma.f64 (sin.f64 x) (neg.f64 (tan.f64 x)) (cos.f64 x)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) (cos.f64 x)) #s(literal 3 binary64)) (fma.f64 (.f64 (sin.f64 x) (neg.f64 (tan.f64 x))) (fma.f64 (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) (fma.f64 (sin.f64 x) (neg.f64 (tan.f64 x)) (cos.f64 x))) (pow.f64 (fma.f64 (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) (cos.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (sin.f64 x) (neg.f64 (tan.f64 x))) #s(literal 3 binary64)) (fma.f64 (.f64 (sin.f64 x) (neg.f64 (tan.f64 x))) (fma.f64 (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) (fma.f64 (sin.f64 x) (neg.f64 (tan.f64 x)) (cos.f64 x))) (pow.f64 (fma.f64 (.f64 eps eps) (*.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) (cos.f64 x)) #s(literal 2 binary64)))))
(-.f64 (fma.f64 (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (tan.f64 x))))
(+.f64 (.f64 (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))) (-.f64 (cos.f64 x) (.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))))
(+.f64 (-.f64 (cos.f64 x) (.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))) (.f64 (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))))
(+.f64 (cos.f64 x) (-.f64 (.f64 (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))) (.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))))
(.f64 #s(literal 1/3 binary64) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (tan.f64 x))))
(*.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 (.f64 #s(literal -1/3 binary64) (.f64 (sin.f64 x) (tan.f64 x))) (.f64 #s(literal -1/3 binary64) (.f64 (sin.f64 x) (tan.f64 x))))) (.f64 #s(literal 1/3 binary64) (-.f64 (cos.f64 x) (.f64 (sin.f64 x) (tan.f64 x)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/9 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (-.f64 (.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal 1/3 binary64)) (.f64 #s(literal 1/3 binary64) (cos.f64 x))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (cos.f64 x)) #s(literal 3 binary64)) (.f64 #s(literal -1/27 binary64) (pow.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/9 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 (sin.f64 x) (tan.f64 x))) (.f64 #s(literal -1/3 binary64) (.f64 (sin.f64 x) (tan.f64 x))) (.f64 (.f64 #s(literal 1/3 binary64) (cos.f64 x)) (.f64 #s(literal -1/3 binary64) (*.f64 (sin.f64 x) (tan.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (neg.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (tan.f64 x))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (.f64 #s(literal 1/27 binary64) (pow.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal 1/3 binary64)) (-.f64 (.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal 1/3 binary64)) (.f64 #s(literal 1/3 binary64) (cos.f64 x)))))))
(/.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) (.f64 #s(literal 1/3 binary64) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (tan.f64 x)))))
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(*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(+.f64 (cosh.f64 (-.f64 (log.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (log.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (sinh.f64 (-.f64 (log.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (log.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))
(exp.f64 (-.f64 (log.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (log.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))

eval89.0ms (0.6%)

Memory: 27.9MiB live, 127.2MiB allocated
Compiler: Compiled 30 375 to 3 420 computations (88.7% saved)

prune40.0ms (0.3%)

Memory

-21.9MiB live, 69.2MiB allocated

Pruning

37 alts after pruning (35 fresh and 2 done)

	Pruned	Kept	Total
New	570	26	596
Fresh	12	9	21
Picked	5	0	5
Done	1	2	3
Total	588	37	625

Accuracy

100.0%

Counts

625 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.7%	(/.f64 (/.f64 (fma.f64 (sin.f64 x) (neg.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (*.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x))) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (cos.f64 x))
	99.3%	(/.f64 (/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (-.f64 (fma.f64 #s(approx (+ ( (cos x) 1/3) (* 1/3 (/ (pow (sin x) 2) (cos x)))) (fma.f64 (fma.f64 #s(literal 5/72 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/3 binary64))) (*.f64 eps eps) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) eps)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (cos.f64 x))
	99.5%	(/.f64 (/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (-.f64 (fma.f64 #s(approx (+ ( (cos x) 1/3) (* 1/3 (/ (pow (sin x) 2) (cos x)))) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/3 binary64))) (.f64 eps eps) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) eps)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (cos.f64 x))
	99.4%	(/.f64 (/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (-.f64 (fma.f64 #s(approx (+ ( (cos x) 1/3) (* 1/3 (/ (pow (sin x) 2) (cos x)))) #s(literal 1/3 binary64)) (*.f64 eps eps) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) eps)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (cos.f64 x))
	37.3%	(/.f64 (-.f64 (pow.f64 (tan.f64 #s(approx (+ x eps) (.f64 (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64)) (neg.f64 x)))) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 #s(approx (+ x eps) (.f64 (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64)) (neg.f64 x)))) (tan.f64 x)))
	62.6%	(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	97.3%	(/.f64 #s(approx (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (.f64 (-.f64 (cos.f64 x) (/.f64 #s(approx (pow (sin x) 2) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/315 binary64) (.f64 x x) #s(literal 2/45 binary64)) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) (neg.f64 (cos.f64 x)))) eps)) (cos.f64 x))
	97.4%	(/.f64 #s(approx (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (.f64 (-.f64 (cos.f64 x) (/.f64 #s(approx (pow (sin x) 2) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))) (neg.f64 (cos.f64 x)))) eps)) (cos.f64 x))
	98.4%	(/.f64 #s(approx (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (.f64 (-.f64 (cos.f64 x) (.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))) eps)) (cos.f64 x))
	97.3%	(/.f64 #s(approx (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (.f64 #s(approx (- (cos x) (/ (pow (sin x) 2) (neg (cos x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps)) (cos.f64 x))
	97.3%	(/.f64 #s(approx (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (.f64 #s(approx (- (cos x) (/ (pow (sin x) 2) (neg (cos x)))) (fma.f64 (fma.f64 #s(literal 5/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps)) (cos.f64 x))
	96.4%	(/.f64 #s(approx (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (*.f64 #s(approx (- (cos x) (/ (pow (sin x) 2) (neg (cos x)))) #s(literal 1 binary64)) eps)) (cos.f64 x))
▶	99.7%	(/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (-.f64 (fma.f64 (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) (cos.f64 x)) (.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))) eps)) (*.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
	62.7%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x))
	5.0%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 eps (+.f64 (PI.f64) x)) (PI.f64)) (PI.f64)) (PI.f64))) (tan.f64 x))
	5.0%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) eps)) (tan.f64 x))
✓	5.1%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
	62.5%	(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
	8.0%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))))
✓	62.5%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶	25.4%	(-.f64 (tan.f64 (.f64 (/.f64 (.f64 (neg.f64 (-.f64 x eps)) (+.f64 eps x)) (.f64 (neg.f64 (fma.f64 (+.f64 eps x) eps (.f64 x x))) (-.f64 x eps))) (fma.f64 eps (+.f64 eps x) (*.f64 x x)))) (tan.f64 x))
	62.0%	(-.f64 (tan.f64 #s(approx (+ x eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))) (tan.f64 x))
	99.2%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
	99.2%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (*.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (tan.f64 x))) eps eps))
	99.2%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (tan.f64 x))) eps eps))
	98.4%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps))
	97.5%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x eps) x)) (cos.f64 x)) eps eps))
▶	96.5%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (*.f64 eps x)) (cos.f64 x)) eps eps))
	97.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) eps (fma.f64 #s(literal 2/3 binary64) x (.f64 #s(literal 1/2 binary64) eps))) x #s(literal 1 binary64)) x eps) x)) eps eps))
	97.3%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (.f64 (fma.f64 (fma.f64 (.f64 eps #s(literal 4/3 binary64)) x #s(literal 1 binary64)) x eps) x)) eps eps))
▶	99.2%	#s(approx (- (tan (+ x eps)) (tan x)) (+.f64 (*.f64 (fma.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps) eps))
	99.2%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (tan.f64 x) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) eps))
	96.4%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
	96.4%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 eps eps) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)))
	96.4%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 eps eps) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)))
	97.3%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (fma.f64 (*.f64 eps (+.f64 eps x)) x eps)))
▶	96.4%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (fma.f64 (*.f64 eps eps) x eps)))

Compiler

Compiled 2 668 to 1 526 computations (42.8% saved)

simplify180.0ms (1.2%)

Memory

2.0MiB live, 140.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	727
0	125	727
1	270	719
2	868	675
3	4553	675
0	8158	657

Stop Event

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

Calls

Call 1

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

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

localize339.0ms (2.3%)

Memory

-20.1MiB live, 343.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
accuracy	0.08984375	(*.f64 (fma.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps)
accuracy	0.10775375976844202	(fma.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
accuracy	0.5148066283384997	#s(approx (- (tan (+ x eps)) (tan x)) (+.f64 (*.f64 (fma.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps) eps))
accuracy	0.13671875	(fma.f64 eps (+.f64 eps x) (*.f64 x x))
accuracy	23.835612010254287	(-.f64 (tan.f64 (.f64 (/.f64 (.f64 (neg.f64 (-.f64 x eps)) (+.f64 eps x)) (.f64 (neg.f64 (fma.f64 (+.f64 eps x) eps (.f64 x x))) (-.f64 x eps))) (fma.f64 eps (+.f64 eps x) (*.f64 x x)))) (tan.f64 x))
accuracy	25.14888960690552	(.f64 (/.f64 (.f64 (neg.f64 (-.f64 x eps)) (+.f64 eps x)) (.f64 (neg.f64 (fma.f64 (+.f64 eps x) eps (.f64 x x))) (-.f64 x eps))) (fma.f64 eps (+.f64 eps x) (*.f64 x x)))
accuracy	34.99652787023793	(/.f64 (.f64 (neg.f64 (-.f64 x eps)) (+.f64 eps x)) (.f64 (neg.f64 (fma.f64 (+.f64 eps x) eps (*.f64 x x))) (-.f64 x eps)))
accuracy	0.0078125	(fma.f64 (/.f64 #s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (*.f64 eps x)) (cos.f64 x)) eps eps)
accuracy	0.0234375	(/.f64 #s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (*.f64 eps x)) (cos.f64 x))
accuracy	0.5148066283384997	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (*.f64 eps x)) (cos.f64 x)) eps eps))
accuracy	33.669001821833334	#s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (*.f64 eps x))
accuracy	0.0	(fma.f64 (*.f64 eps eps) x eps)
accuracy	0.0	(*.f64 eps eps)
accuracy	0.5148066283384997	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (fma.f64 (*.f64 eps eps) x eps)))
accuracy	2.282302587961647	#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (fma.f64 (*.f64 eps eps) x eps))
accuracy	0.0234375	(*.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))
accuracy	0.0234375	(*.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))
accuracy	0.02734375	(.f64 (-.f64 (fma.f64 (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) (cos.f64 x)) (.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))) eps)
accuracy	0.17304247087563018	#s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (-.f64 (fma.f64 (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) (cos.f64 x)) (.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))) eps))

Samples

127.0ms	82×	1	valid
74.0ms	172×	0	valid
25.0ms	2×	5	exit

Compiler

Compiled 600 to 68 computations (88.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 197.0ms

ival-mult: 75.0ms (38% of total)

ival-tan: 47.0ms (23.8% of total)

ival-add: 19.0ms (9.6% of total)

adjust: 13.0ms (6.6% of total)

ival-pow2: 12.0ms (6.1% of total)

ival-div: 9.0ms (4.6% of total)

ival-neg: 7.0ms (3.5% of total)

ival-sub: 6.0ms (3% of total)

const: 4.0ms (2% of total)

ival-cos: 2.0ms (1% of total)

ival-sin: 2.0ms (1% of total)

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

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

exact: 0.0ms (0% of total)

series83.0ms (0.6%)

Memory

1.0MiB live, 91.7MiB allocated

Counts

24 → 161

Calls

Call 1

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

Outputs
(+ 1 (* 1/3 (pow eps 2)))
(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/2 (* 1/6 (pow eps 2))))))
(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/2 (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ 5/24 (* 5/72 (pow eps 2)))))))))
(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/2 (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ 5/24 (+ (* 5/72 (pow eps 2)) (* (pow x 2) (+ 61/720 (* 61/2160 (pow eps 2))))))))))))
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* 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 (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/2 (/ (sin eps) (cos eps))))) (cos eps)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* (pow x 2) (- (* -1/2 (/ (sin eps) (cos eps))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
(+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* 1/24 (/ (sin eps) (cos eps))) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
(+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (* (pow x 2) (- (+ (* 1/24 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* -1/720 (/ (sin eps) (cos eps))) (+ (* -2/15 (/ (sin eps) (cos eps))) (+ (* -1/120 (/ (sin eps) (cos eps))) (* 1/18 (/ (sin eps) (cos eps)))))))) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
(* eps (+ 1 (* 1/3 (pow eps 2))))
(+ (* eps (* (pow x 2) (+ 1/2 (* 1/6 (pow eps 2))))) (* eps (+ 1 (* 1/3 (pow eps 2)))))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow x 2) (+ (* eps (* (pow x 2) (+ 5/24 (* 5/72 (pow eps 2))))) (* eps (+ 1/2 (* 1/6 (pow eps 2)))))))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow x 2) (+ (* eps (+ 1/2 (* 1/6 (pow eps 2)))) (* (pow x 2) (+ (* eps (* (pow x 2) (+ 61/720 (* 61/2160 (pow eps 2))))) (* eps (+ 5/24 (* 5/72 (pow 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)))
eps
(+ eps (* (pow eps 2) x))
(+ eps (* x (+ (* eps x) (pow eps 2))))
(+ eps (* x (+ (* x (+ eps (* x (- (* eps (+ eps (* -1/6 eps))) (* -1/2 (pow eps 2)))))) (pow eps 2))))
(* eps x)
(* x (+ eps x))
(* x (+ eps (* x (+ 1 (* x (- (+ eps (* -1/6 eps)) (* -1/2 eps)))))))
(* x (+ eps (* x (+ 1 (* x (- (+ eps (+ (* -1/6 eps) (* 2/3 x))) (* -1/2 eps)))))))
(* x (+ eps (* x (+ 1 (* x (+ eps (* -1/6 eps)))))))
(* x (+ eps (* x (+ 1 (* x (+ eps (+ (* -1/6 eps) (* 1/6 x))))))))
(/ 1 eps)
(+ (* -1 (* (pow x 2) (- (/ 1 (pow eps 3)) (/ (* (+ eps (* -1 eps)) (+ (* -1 (pow eps 2)) (pow eps 2))) (pow eps 6))))) (/ 1 eps))
(+ (* (pow x 2) (+ (* -1 (- (/ 1 (pow eps 3)) (/ (* (+ eps (* -1 eps)) (+ (* -1 (pow eps 2)) (pow eps 2))) (pow eps 6)))) (* x (+ (* -1 (/ (* (+ (* -1 (pow eps 2)) (pow eps 2)) (- (/ 1 (pow eps 3)) (/ (* (+ eps (* -1 eps)) (+ (* -1 (pow eps 2)) (pow eps 2))) (pow eps 6)))) (pow eps 3))) (+ (/ 1 (pow eps 4)) (/ (pow (+ eps (* -1 eps)) 2) (pow eps 6))))))) (/ 1 eps))
(+ (* (pow x 2) (+ (* -1 (- (/ 1 (pow eps 3)) (/ (* (+ eps (* -1 eps)) (+ (* -1 (pow eps 2)) (pow eps 2))) (pow eps 6)))) (* x (+ (* -1 (/ (* (+ (* -1 (pow eps 2)) (pow eps 2)) (- (/ 1 (pow eps 3)) (/ (* (+ eps (* -1 eps)) (+ (* -1 (pow eps 2)) (pow eps 2))) (pow eps 6)))) (pow eps 3))) (+ (* x (+ (* -1 (/ (* (+ eps (* -1 eps)) (- (/ 1 (pow eps 3)) (/ (* (+ eps (* -1 eps)) (+ (* -1 (pow eps 2)) (pow eps 2))) (pow eps 6)))) (pow eps 3))) (/ (* (+ (* -1 (/ (* (+ (* -1 (pow eps 2)) (pow eps 2)) (- (/ 1 (pow eps 3)) (/ (* (+ eps (* -1 eps)) (+ (* -1 (pow eps 2)) (pow eps 2))) (pow eps 6)))) (pow eps 3))) (+ (/ 1 (pow eps 4)) (/ (pow (+ eps (* -1 eps)) 2) (pow eps 6)))) (+ (* -1 (pow eps 2)) (pow eps 2))) (pow eps 3)))) (+ (/ 1 (pow eps 4)) (/ (pow (+ eps (* -1 eps)) 2) (pow eps 6)))))))) (/ 1 eps))
(+ (* x (- (* -1 (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (+ 1 (/ (* (pow (sin eps) 2) (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ (* -1 (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (* x (- (+ (* -1 (- (/ 1 eps) (* -1 (/ (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) eps)))) (* -1/2 (/ (* (sin eps) (pow (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) 2)) (cos eps)))) (+ (/ (* (sin eps) (* (- (* -1 (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (/ (* (pow (sin eps) 2) (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (pow (cos eps) 2))) (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1))) (cos eps)) (/ (* (sin eps) (- (* -1/2 (* (cos eps) (pow (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) 2))) (* -1 (* (sin eps) (- (/ 1 eps) (* -1 (/ (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) eps))))))) (pow (cos eps) 2)))))) (+ 1 (/ (* (pow (sin eps) 2) (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ (* -1 (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (* x (- (+ (* -1 (- (/ 1 eps) (* -1 (/ (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) eps)))) (+ (* -1/2 (/ (* (sin eps) (pow (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) 2)) (cos eps))) (* x (- (+ (* -1 (/ (* (sin eps) (* (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) (- (/ 1 eps) (* -1 (/ (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) eps))))) (cos eps))) (+ (* -1 (/ (- (/ 1 eps) (* -1 (/ (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) eps))) eps)) (* 1/6 (pow (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) 3)))) (+ 1/3 (+ (/ (* (sin eps) (* (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) (- (+ (* -1 (- (/ 1 eps) (* -1 (/ (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) eps)))) (* -1/2 (/ (* (sin eps) (pow (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) 2)) (cos eps)))) (+ (/ (* (sin eps) (* (- (* -1 (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (/ (* (pow (sin eps) 2) (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (pow (cos eps) 2))) (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1))) (cos eps)) (/ (* (sin eps) (- (* -1/2 (* (cos eps) (pow (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) 2))) (* -1 (* (sin eps) (- (/ 1 eps) (* -1 (/ (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) eps))))))) (pow (cos eps) 2)))))) (cos eps)) (+ (/ (* (sin eps) (- (* -1 (* (cos eps) (* (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) (- (/ 1 eps) (* -1 (/ (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) eps)))))) (* (sin eps) (+ (* -1 (/ (- (/ 1 eps) (* -1 (/ (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) eps))) eps)) (* 1/6 (pow (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) 3)))))) (pow (cos eps) 2)) (/ (* (- (* -1 (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (/ (* (pow (sin eps) 2) (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (pow (cos eps) 2))) (- (* -1/2 (* (cos eps) (pow (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) 2))) (* -1 (* (sin eps) (- (/ 1 eps) (* -1 (/ (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) eps))))))) (cos eps))))))))) (+ (/ (* (sin eps) (* (- (* -1 (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (/ (* (pow (sin eps) 2) (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (pow (cos eps) 2))) (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1))) (cos eps)) (/ (* (sin eps) (- (* -1/2 (* (cos eps) (pow (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) 2))) (* -1 (* (sin eps) (- (/ 1 eps) (* -1 (/ (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) eps))))))) (pow (cos eps) 2)))))) (+ 1 (/ (* (pow (sin eps) 2) (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* -1 (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (/ (* (pow (sin eps) 2) (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ (* -1 (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (* x (- (+ (* -1 (- (/ 1 eps) (* -1 (/ (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) eps)))) (* -1/2 (/ (* (sin eps) (pow (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) 2)) (cos eps)))) (+ (/ (* (sin eps) (* (- (* -1 (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (/ (* (pow (sin eps) 2) (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (pow (cos eps) 2))) (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1))) (cos eps)) (/ (* (sin eps) (- (* -1/2 (* (cos eps) (pow (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) 2))) (* -1 (* (sin eps) (- (/ 1 eps) (* -1 (/ (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) eps))))))) (pow (cos eps) 2)))))) (/ (* (pow (sin eps) 2) (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ (* -1 (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (* x (- (+ (* -1 (- (/ 1 eps) (* -1 (/ (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) eps)))) (+ (* -1/2 (/ (* (sin eps) (pow (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) 2)) (cos eps))) (* x (- (+ (* -1 (/ (* (sin eps) (* (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) (- (/ 1 eps) (* -1 (/ (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) eps))))) (cos eps))) (+ (* -1 (/ (- (/ 1 eps) (* -1 (/ (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) eps))) eps)) (* 1/6 (pow (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) 3)))) (+ (/ (* (sin eps) (* (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) (- (+ (* -1 (- (/ 1 eps) (* -1 (/ (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) eps)))) (* -1/2 (/ (* (sin eps) (pow (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) 2)) (cos eps)))) (+ (/ (* (sin eps) (* (- (* -1 (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (/ (* (pow (sin eps) 2) (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (pow (cos eps) 2))) (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1))) (cos eps)) (/ (* (sin eps) (- (* -1/2 (* (cos eps) (pow (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) 2))) (* -1 (* (sin eps) (- (/ 1 eps) (* -1 (/ (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) eps))))))) (pow (cos eps) 2)))))) (cos eps)) (+ (/ (* (sin eps) (- (* -1 (* (cos eps) (* (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) (- (/ 1 eps) (* -1 (/ (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) eps)))))) (* (sin eps) (+ (* -1 (/ (- (/ 1 eps) (* -1 (/ (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) eps))) eps)) (* 1/6 (pow (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) 3)))))) (pow (cos eps) 2)) (/ (* (- (* -1 (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (/ (* (pow (sin eps) 2) (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (pow (cos eps) 2))) (- (* -1/2 (* (cos eps) (pow (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) 2))) (* -1 (* (sin eps) (- (/ 1 eps) (* -1 (/ (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) eps))))))) (cos eps)))))))) (+ (/ (* (sin eps) (* (- (* -1 (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (/ (* (pow (sin eps) 2) (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (pow (cos eps) 2))) (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1))) (cos eps)) (/ (* (sin eps) (- (* -1/2 (* (cos eps) (pow (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) 2))) (* -1 (* (sin eps) (- (/ 1 eps) (* -1 (/ (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) eps))))))) (pow (cos eps) 2)))))) (/ (* (pow (sin eps) 2) (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(+ eps (* -1 (* x (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1))))
(+ eps (* x (+ (* -1 (* x (- (/ 1 eps) (* -1 (/ (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) eps))))) (* -1 (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)))))
(+ eps (* x (+ (* -1 (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (* x (+ (* -1 (- (/ 1 eps) (* -1 (/ (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) eps)))) (* -1 (/ (* x (- (/ 1 eps) (* -1 (/ (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) eps)))) eps)))))))
(+ eps (* x (+ (* x (+ eps (* eps (* x (+ eps (* 1/3 eps)))))) (pow eps 2))))
(* x (+ eps (* x (+ 1 (* x (+ eps (* 1/3 eps)))))))
(* x (+ eps (* x (+ 1 (* x (+ eps (+ (* 1/3 eps) (* 2/3 x))))))))
(* (pow eps 2) x)
(* x (+ (* eps x) (pow eps 2)))
(* x (+ (* x (+ eps (* eps (* x (+ eps (* 1/3 eps)))))) (pow eps 2)))
(* x (+ (* x (+ eps (* x (+ (* 2/3 (* eps x)) (* eps (+ eps (* 1/3 eps))))))) (pow eps 2)))
1/3
(+ 1/3 (* 1/6 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/6 (* 5/72 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/72 (* 61/2160 (pow x 2)))))))
(* -1 (pow x 2))
(* (pow x 2) (- (* -1/6 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* -31/360 (pow x 2)) 1/6)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -173/5040 (pow x 2)) 31/360)) 1/6)) 1))
(pow eps 2)
(+ (* eps x) (pow eps 2))
(+ (* x (+ eps x)) (pow eps 2))
(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))))))))
(- (+ (cos x) (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x))))
(/ (- (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(- (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(* eps (- (+ (cos x) (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(+ eps (/ (* eps (+ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (/ (pow (sin x) 2) (cos x)))) (cos x)))
(* x (+ (/ eps x) (pow eps 2)))
(/ (+ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (/ (pow (sin x) 2) (cos x))) (cos x))
(+ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (/ (pow (sin x) 2) (cos x)))
(/ 1 x)
(/ (+ 1 (* -1 (/ (- (+ eps (* -1 eps)) (* -1 (+ eps (* -1 eps)))) x))) x)
(/ (+ 1 (+ (* -1 (/ (- (+ eps (* -1 eps)) (* -1 (+ eps (* -1 eps)))) x)) (* -1 (/ (- (pow eps 2) (+ (* -1 (+ (* -1 (pow eps 2)) (pow eps 2))) (* (+ eps (* -1 eps)) (- (+ eps (* -1 eps)) (* -1 (+ eps (* -1 eps))))))) (pow x 2))))) x)
(/ (+ 1 (+ (* -1 (/ (- (+ eps (* -1 eps)) (* -1 (+ eps (* -1 eps)))) x)) (+ (* -1 (/ (- (pow eps 2) (+ (* -1 (+ (* -1 (pow eps 2)) (pow eps 2))) (* (+ eps (* -1 eps)) (- (+ eps (* -1 eps)) (* -1 (+ eps (* -1 eps))))))) (pow x 2))) (+ (/ (* (+ eps (* -1 eps)) (- (pow eps 2) (+ (* -1 (+ (* -1 (pow eps 2)) (pow eps 2))) (* (+ eps (* -1 eps)) (- (+ eps (* -1 eps)) (* -1 (+ eps (* -1 eps)))))))) (pow x 3)) (+ (/ (* (+ (* -1 (pow eps 2)) (pow eps 2)) (- (+ eps (* -1 eps)) (* -1 (+ eps (* -1 eps))))) (pow x 3)) (/ (pow eps 3) (pow x 3))))))) x)
(- (/ (sin (* -1 (/ (* (+ eps x) (- eps x)) (- x eps)))) (cos (* -1 (/ (* (+ eps x) (- eps x)) (- x eps))))) (/ (sin x) (cos x)))
(/ (sin (* -1 (/ (* (+ eps x) (- eps x)) (- x eps)))) (cos (* -1 (/ (* (+ eps x) (- eps x)) (- x eps)))))
x
(* x (+ 1 (/ eps x)))
(+ eps (* eps (+ (/ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ (/ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(* eps (+ (/ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x))))
(* -1 (/ (pow (sin x) 2) (cos x)))
(* (pow x 2) (+ 1 (/ eps x)))
(* (pow x 2) (+ 1 (+ (/ eps x) (/ (pow eps 2) (pow x 2)))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(* -1 (* x (+ (* -1 (/ eps x)) (* -1 (pow eps 2)))))
(* -1 (/ (- (/ (pow eps 2) (pow x 2)) 1) x))
(* -1 (/ (- (* -1 (/ (pow eps 3) (pow x 3))) (+ 1 (* -1 (/ (pow eps 2) (pow x 2))))) x))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow eps 4) x)) (/ (pow eps 4) x)) (* -1 (pow eps 3))) (pow x 3))) (+ 1 (* -1 (/ (pow eps 2) (pow x 2))))) x))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 eps) (* -1 (/ (pow eps 2) x))) x))))
(- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))
(/ (* eps (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (cos x))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))))) (pow (cos x) 2))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1/3 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2))))))) (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- (+ (cos x) (* (pow eps 2) (- (* 1/3 (cos x)) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (- (* 2/15 (cos x)) (* -2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (- (+ (* 2/15 (cos x)) (* (pow eps 2) (- (* 17/315 (cos x)) (* -17/315 (/ (pow (sin x) 2) (cos x)))))) (* -2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* 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 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (* eps x)))
(+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (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)))
(+ (* -1 (/ (* eps (+ (* -1 (pow x 2)) (pow x 2))) (pow x 4))) (/ 1 x))
(+ (* eps (+ (* -1 (* eps (- (/ 1 (pow x 3)) (+ (* -1 (/ (+ x (* -1 x)) (pow x 4))) (/ (pow (+ (* -1 (pow x 2)) (pow x 2)) 2) (pow x 7)))))) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow x 4))))) (/ 1 x))
(+ (* eps (+ (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow x 4))) (* eps (+ (* -1 (- (/ 1 (pow x 3)) (+ (* -1 (/ (+ x (* -1 x)) (pow x 4))) (/ (pow (+ (* -1 (pow x 2)) (pow x 2)) 2) (pow x 7))))) (* eps (+ (/ 1 (pow x 4)) (+ (/ (* (+ x (* -1 x)) (+ (* -1 (pow x 2)) (pow x 2))) (pow x 7)) (/ (* (+ (* -1 (pow x 2)) (pow x 2)) (- (/ 1 (pow x 3)) (+ (* -1 (/ (+ x (* -1 x)) (pow x 4))) (/ (pow (+ (* -1 (pow x 2)) (pow x 2)) 2) (pow x 7))))) (pow x 3))))))))) (/ 1 x))
(/ (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 x)
(/ (* eps (pow (sin x) 2)) (pow (cos x) 2))
(* eps (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ (* eps x) (pow x 2))
(+ (* eps (+ eps x)) (pow x 2))
(* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x)))))
(* (pow eps 2) (- (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (/ (cos x) (pow eps 2))) (* -1 (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))
(* 1/3 (* (pow eps 3) (+ (cos x) (/ (pow (sin x) 2) (cos x)))))
(* (pow eps 3) (- (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (/ (cos x) (pow eps 2))) (* -1 (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))
(/ (* (pow eps 2) (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* (pow eps 2) (+ x (/ 1 eps)))
(/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
(* eps (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (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 (* -1 (/ (- (* -1 (+ x (* -1 x))) (+ x (* -1 x))) eps))) eps)
(/ (+ 1 (+ (* -1 (/ (* (+ x (* -1 x)) (- (* -1 (+ x (* -1 x))) (+ x (* -1 x)))) (pow eps 2))) (+ (* -1 (/ (- (* -1 (+ x (* -1 x))) (+ x (* -1 x))) eps)) (* -1 (/ (pow x 2) (pow eps 2)))))) eps)
(/ (+ 1 (+ (* -1 (/ (* (+ x (* -1 x)) (- (* -1 (+ x (* -1 x))) (+ x (* -1 x)))) (pow eps 2))) (+ (* -1 (/ (* (+ (* -1 (pow x 2)) (pow x 2)) (- (* -1 (+ x (* -1 x))) (+ x (* -1 x)))) (pow eps 3))) (+ (* -1 (/ (- (* -1 (+ x (* -1 x))) (+ x (* -1 x))) eps)) (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (/ (* (+ x (* -1 x)) (+ (* -1 (* (+ x (* -1 x)) (- (* -1 (+ x (* -1 x))) (+ x (* -1 x))))) (* -1 (pow x 2)))) (pow eps 3)) (/ (pow x 3) (pow eps 3)))))))) eps)
(* eps (+ 1 (* -1 (/ (- (* -1 (+ x (* -1 x))) x) eps))))
(* eps (+ 1 (+ (* -1 (/ (- (* -1 (+ x (* -1 x))) x) eps)) (* -1 (/ (- (pow x 2) (* -1 (* x (- (* -1 (+ x (* -1 x))) x)))) (pow eps 2))))))
(* eps (+ 1 (+ (* -1 (/ (* x (- (pow x 2) (* -1 (* x (- (* -1 (+ x (* -1 x))) x))))) (pow eps 3))) (+ (* -1 (/ (- (* -1 (+ x (* -1 x))) x) eps)) (* -1 (/ (- (pow x 2) (* -1 (* x (- (* -1 (+ x (* -1 x))) x)))) (pow eps 2)))))))
(* (pow eps 2) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))
(* (pow eps 2) (+ 1 (/ x eps)))
(* (pow eps 2) (+ 1 (+ (/ x eps) (/ (pow x 2) (pow eps 2)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))) (pow eps 2))) (* -1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(* -1 (/ (* (pow eps 2) (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x))) (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps))))
(* -1 (/ (* eps (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))
(* -1 (* eps (+ (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x)))))
(* -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 (/ (- (/ (pow x 2) (pow eps 2)) 1) eps))
(* -1 (/ (- (* -1 (/ (pow x 3) (pow eps 3))) (+ 1 (* -1 (/ (pow x 2) (pow eps 2))))) eps))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow x 4) eps)) (/ (pow x 4) eps)) (* -1 (pow x 3))) (pow eps 3))) (+ 1 (* -1 (/ (pow x 2) (pow eps 2))))) eps))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* (pow eps 2) (+ (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x))) (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) eps))) eps))))

Calls

6 calls:

Time	Variable		Point	Expression
31.0ms	x	@	-inf	((- (+ (* (* eps eps) (* 1/3 (+ (* (sin x) (tan x)) (cos x)))) (cos x)) (* (sin x) (neg (tan x)))) (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (* (neg (tan x)) (tan eps)) 1) (cos x))) (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (- (+ (* (* eps eps) (* 1/3 (+ (* (sin x) (tan x)) (cos x)))) (cos x)) (* (sin x) (neg (tan x)))) eps) (- (tan (+ x eps)) (tan x)) (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (+ (* (* eps eps) x) eps) (* eps eps) (- (tan (+ x eps)) (tan x)) (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (/ (* (neg (- x eps)) (+ eps x)) (* (neg (+ (* (+ eps x) eps) (* x x))) (- x eps))) (- (tan (* (/ (* (neg (- x eps)) (+ eps x)) (* (neg (+ (* (+ eps x) eps) (* x x))) (- x eps))) (+ (* eps (+ eps x)) (* x x)))) (tan x)) (tan (* (/ (* (neg (- x eps)) (+ eps x)) (* (neg (+ (* (+ eps x) eps) (* x x))) (- x eps))) (+ (* eps (+ eps x)) (* x x)))) (* (/ (* (neg (- x eps)) (+ eps x)) (* (neg (+ (* (+ eps x) eps) (* x x))) (- x eps))) (+ (* eps (+ eps x)) (* x x))) (+ (* (+ (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (pow (tan x) 2)) eps) eps) (+ (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (pow (tan x) 2)) (- (tan (+ x eps)) (tan x)) (* (+ (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (pow (tan x) 2)) eps) (* 1/3 (+ (* (sin x) (tan x)) (cos x))) (* (sin x) (neg (tan x))) (+ (* eps (+ eps x)) (* x x)) (pow (tan x) 2))
10.0ms	eps	@	0	((- (+ (* (* eps eps) (* 1/3 (+ (* (sin x) (tan x)) (cos x)))) (cos x)) (* (sin x) (neg (tan x)))) (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (* (neg (tan x)) (tan eps)) 1) (cos x))) (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (- (+ (* (* eps eps) (* 1/3 (+ (* (sin x) (tan x)) (cos x)))) (cos x)) (* (sin x) (neg (tan x)))) eps) (- (tan (+ x eps)) (tan x)) (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (+ (* (* eps eps) x) eps) (* eps eps) (- (tan (+ x eps)) (tan x)) (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (/ (* (neg (- x eps)) (+ eps x)) (* (neg (+ (* (+ eps x) eps) (* x x))) (- x eps))) (- (tan (* (/ (* (neg (- x eps)) (+ eps x)) (* (neg (+ (* (+ eps x) eps) (* x x))) (- x eps))) (+ (* eps (+ eps x)) (* x x)))) (tan x)) (tan (* (/ (* (neg (- x eps)) (+ eps x)) (* (neg (+ (* (+ eps x) eps) (* x x))) (- x eps))) (+ (* eps (+ eps x)) (* x x)))) (* (/ (* (neg (- x eps)) (+ eps x)) (* (neg (+ (* (+ eps x) eps) (* x x))) (- x eps))) (+ (* eps (+ eps x)) (* x x))) (+ (* (+ (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (pow (tan x) 2)) eps) eps) (+ (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (pow (tan x) 2)) (- (tan (+ x eps)) (tan x)) (* (+ (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (pow (tan x) 2)) eps) (* 1/3 (+ (* (sin x) (tan x)) (cos x))) (* (sin x) (neg (tan x))) (+ (* eps (+ eps x)) (* x x)) (pow (tan x) 2))
10.0ms	x	@	inf	((- (+ (* (* eps eps) (* 1/3 (+ (* (sin x) (tan x)) (cos x)))) (cos x)) (* (sin x) (neg (tan x)))) (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (* (neg (tan x)) (tan eps)) 1) (cos x))) (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (- (+ (* (* eps eps) (* 1/3 (+ (* (sin x) (tan x)) (cos x)))) (cos x)) (* (sin x) (neg (tan x)))) eps) (- (tan (+ x eps)) (tan x)) (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (+ (* (* eps eps) x) eps) (* eps eps) (- (tan (+ x eps)) (tan x)) (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (/ (* (neg (- x eps)) (+ eps x)) (* (neg (+ (* (+ eps x) eps) (* x x))) (- x eps))) (- (tan (* (/ (* (neg (- x eps)) (+ eps x)) (* (neg (+ (* (+ eps x) eps) (* x x))) (- x eps))) (+ (* eps (+ eps x)) (* x x)))) (tan x)) (tan (* (/ (* (neg (- x eps)) (+ eps x)) (* (neg (+ (* (+ eps x) eps) (* x x))) (- x eps))) (+ (* eps (+ eps x)) (* x x)))) (* (/ (* (neg (- x eps)) (+ eps x)) (* (neg (+ (* (+ eps x) eps) (* x x))) (- x eps))) (+ (* eps (+ eps x)) (* x x))) (+ (* (+ (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (pow (tan x) 2)) eps) eps) (+ (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (pow (tan x) 2)) (- (tan (+ x eps)) (tan x)) (* (+ (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (pow (tan x) 2)) eps) (* 1/3 (+ (* (sin x) (tan x)) (cos x))) (* (sin x) (neg (tan x))) (+ (* eps (+ eps x)) (* x x)) (pow (tan x) 2))
9.0ms	eps	@	-inf	((- (+ (* (* eps eps) (* 1/3 (+ (* (sin x) (tan x)) (cos x)))) (cos x)) (* (sin x) (neg (tan x)))) (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (* (neg (tan x)) (tan eps)) 1) (cos x))) (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (- (+ (* (* eps eps) (* 1/3 (+ (* (sin x) (tan x)) (cos x)))) (cos x)) (* (sin x) (neg (tan x)))) eps) (- (tan (+ x eps)) (tan x)) (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (+ (* (* eps eps) x) eps) (* eps eps) (- (tan (+ x eps)) (tan x)) (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (/ (* (neg (- x eps)) (+ eps x)) (* (neg (+ (* (+ eps x) eps) (* x x))) (- x eps))) (- (tan (* (/ (* (neg (- x eps)) (+ eps x)) (* (neg (+ (* (+ eps x) eps) (* x x))) (- x eps))) (+ (* eps (+ eps x)) (* x x)))) (tan x)) (tan (* (/ (* (neg (- x eps)) (+ eps x)) (* (neg (+ (* (+ eps x) eps) (* x x))) (- x eps))) (+ (* eps (+ eps x)) (* x x)))) (* (/ (* (neg (- x eps)) (+ eps x)) (* (neg (+ (* (+ eps x) eps) (* x x))) (- x eps))) (+ (* eps (+ eps x)) (* x x))) (+ (* (+ (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (pow (tan x) 2)) eps) eps) (+ (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (pow (tan x) 2)) (- (tan (+ x eps)) (tan x)) (* (+ (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (pow (tan x) 2)) eps) (* 1/3 (+ (* (sin x) (tan x)) (cos x))) (* (sin x) (neg (tan x))) (+ (* eps (+ eps x)) (* x x)) (pow (tan x) 2))
9.0ms	x	@	0	((- (+ (* (* eps eps) (* 1/3 (+ (* (sin x) (tan x)) (cos x)))) (cos x)) (* (sin x) (neg (tan x)))) (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (* (neg (tan x)) (tan eps)) 1) (cos x))) (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (- (+ (* (* eps eps) (* 1/3 (+ (* (sin x) (tan x)) (cos x)))) (cos x)) (* (sin x) (neg (tan x)))) eps) (- (tan (+ x eps)) (tan x)) (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (+ (* (* eps eps) x) eps) (* eps eps) (- (tan (+ x eps)) (tan x)) (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (/ (* (neg (- x eps)) (+ eps x)) (* (neg (+ (* (+ eps x) eps) (* x x))) (- x eps))) (- (tan (* (/ (* (neg (- x eps)) (+ eps x)) (* (neg (+ (* (+ eps x) eps) (* x x))) (- x eps))) (+ (* eps (+ eps x)) (* x x)))) (tan x)) (tan (* (/ (* (neg (- x eps)) (+ eps x)) (* (neg (+ (* (+ eps x) eps) (* x x))) (- x eps))) (+ (* eps (+ eps x)) (* x x)))) (* (/ (* (neg (- x eps)) (+ eps x)) (* (neg (+ (* (+ eps x) eps) (* x x))) (- x eps))) (+ (* eps (+ eps x)) (* x x))) (+ (* (+ (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (pow (tan x) 2)) eps) eps) (+ (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (pow (tan x) 2)) (- (tan (+ x eps)) (tan x)) (* (+ (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (pow (tan x) 2)) eps) (* 1/3 (+ (* (sin x) (tan x)) (cos x))) (* (sin x) (neg (tan x))) (+ (* eps (+ eps x)) (* x x)) (pow (tan x) 2))

simplify176.0ms (1.2%)

Memory

-5.1MiB live, 185.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	867	5760
1	3135	5606
0	8698	5361

Stop Event

1×	iter limit
1×	node limit

Counts

161 → 159

Calls

Call 1

Inputs
(+ 1 (* 1/3 (pow eps 2)))
(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/2 (* 1/6 (pow eps 2))))))
(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/2 (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ 5/24 (* 5/72 (pow eps 2)))))))))
(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/2 (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ 5/24 (+ (* 5/72 (pow eps 2)) (* (pow x 2) (+ 61/720 (* 61/2160 (pow eps 2))))))))))))
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* 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 (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/2 (/ (sin eps) (cos eps))))) (cos eps)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* (pow x 2) (- (* -1/2 (/ (sin eps) (cos eps))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
(+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* 1/24 (/ (sin eps) (cos eps))) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
(+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (* (pow x 2) (- (+ (* 1/24 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* -1/720 (/ (sin eps) (cos eps))) (+ (* -2/15 (/ (sin eps) (cos eps))) (+ (* -1/120 (/ (sin eps) (cos eps))) (* 1/18 (/ (sin eps) (cos eps)))))))) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
(* eps (+ 1 (* 1/3 (pow eps 2))))
(+ (* eps (* (pow x 2) (+ 1/2 (* 1/6 (pow eps 2))))) (* eps (+ 1 (* 1/3 (pow eps 2)))))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow x 2) (+ (* eps (* (pow x 2) (+ 5/24 (* 5/72 (pow eps 2))))) (* eps (+ 1/2 (* 1/6 (pow eps 2)))))))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow x 2) (+ (* eps (+ 1/2 (* 1/6 (pow eps 2)))) (* (pow x 2) (+ (* eps (* (pow x 2) (+ 61/720 (* 61/2160 (pow eps 2))))) (* eps (+ 5/24 (* 5/72 (pow 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)))
eps
(+ eps (* (pow eps 2) x))
(+ eps (* x (+ (* eps x) (pow eps 2))))
(+ eps (* x (+ (* x (+ eps (* x (- (* eps (+ eps (* -1/6 eps))) (* -1/2 (pow eps 2)))))) (pow eps 2))))
(* eps x)
(* x (+ eps x))
(* x (+ eps (* x (+ 1 (* x (- (+ eps (* -1/6 eps)) (* -1/2 eps)))))))
(* x (+ eps (* x (+ 1 (* x (- (+ eps (+ (* -1/6 eps) (* 2/3 x))) (* -1/2 eps)))))))
(* x (+ eps (* x (+ 1 (* x (+ eps (* -1/6 eps)))))))
(* x (+ eps (* x (+ 1 (* x (+ eps (+ (* -1/6 eps) (* 1/6 x))))))))
(/ 1 eps)
(+ (* -1 (* (pow x 2) (- (/ 1 (pow eps 3)) (/ (* (+ eps (* -1 eps)) (+ (* -1 (pow eps 2)) (pow eps 2))) (pow eps 6))))) (/ 1 eps))
(+ (* (pow x 2) (+ (* -1 (- (/ 1 (pow eps 3)) (/ (* (+ eps (* -1 eps)) (+ (* -1 (pow eps 2)) (pow eps 2))) (pow eps 6)))) (* x (+ (* -1 (/ (* (+ (* -1 (pow eps 2)) (pow eps 2)) (- (/ 1 (pow eps 3)) (/ (* (+ eps (* -1 eps)) (+ (* -1 (pow eps 2)) (pow eps 2))) (pow eps 6)))) (pow eps 3))) (+ (/ 1 (pow eps 4)) (/ (pow (+ eps (* -1 eps)) 2) (pow eps 6))))))) (/ 1 eps))
(+ (* (pow x 2) (+ (* -1 (- (/ 1 (pow eps 3)) (/ (* (+ eps (* -1 eps)) (+ (* -1 (pow eps 2)) (pow eps 2))) (pow eps 6)))) (* x (+ (* -1 (/ (* (+ (* -1 (pow eps 2)) (pow eps 2)) (- (/ 1 (pow eps 3)) (/ (* (+ eps (* -1 eps)) (+ (* -1 (pow eps 2)) (pow eps 2))) (pow eps 6)))) (pow eps 3))) (+ (* x (+ (* -1 (/ (* (+ eps (* -1 eps)) (- (/ 1 (pow eps 3)) (/ (* (+ eps (* -1 eps)) (+ (* -1 (pow eps 2)) (pow eps 2))) (pow eps 6)))) (pow eps 3))) (/ (* (+ (* -1 (/ (* (+ (* -1 (pow eps 2)) (pow eps 2)) (- (/ 1 (pow eps 3)) (/ (* (+ eps (* -1 eps)) (+ (* -1 (pow eps 2)) (pow eps 2))) (pow eps 6)))) (pow eps 3))) (+ (/ 1 (pow eps 4)) (/ (pow (+ eps (* -1 eps)) 2) (pow eps 6)))) (+ (* -1 (pow eps 2)) (pow eps 2))) (pow eps 3)))) (+ (/ 1 (pow eps 4)) (/ (pow (+ eps (* -1 eps)) 2) (pow eps 6)))))))) (/ 1 eps))
(+ (* x (- (* -1 (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (+ 1 (/ (* (pow (sin eps) 2) (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ (* -1 (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (* x (- (+ (* -1 (- (/ 1 eps) (* -1 (/ (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) eps)))) (* -1/2 (/ (* (sin eps) (pow (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) 2)) (cos eps)))) (+ (/ (* (sin eps) (* (- (* -1 (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (/ (* (pow (sin eps) 2) (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (pow (cos eps) 2))) (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1))) (cos eps)) (/ (* (sin eps) (- (* -1/2 (* (cos eps) (pow (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) 2))) (* -1 (* (sin eps) (- (/ 1 eps) (* -1 (/ (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) eps))))))) (pow (cos eps) 2)))))) (+ 1 (/ (* (pow (sin eps) 2) (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ (* -1 (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (* x (- (+ (* -1 (- (/ 1 eps) (* -1 (/ (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) eps)))) (+ (* -1/2 (/ (* (sin eps) (pow (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) 2)) (cos eps))) (* x (- (+ (* -1 (/ (* (sin eps) (* (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) (- (/ 1 eps) (* -1 (/ (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) eps))))) (cos eps))) (+ (* -1 (/ (- (/ 1 eps) (* -1 (/ (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) eps))) eps)) (* 1/6 (pow (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) 3)))) (+ 1/3 (+ (/ (* (sin eps) (* (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) (- (+ (* -1 (- (/ 1 eps) (* -1 (/ (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) eps)))) (* -1/2 (/ (* (sin eps) (pow (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) 2)) (cos eps)))) (+ (/ (* (sin eps) (* (- (* -1 (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (/ (* (pow (sin eps) 2) (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (pow (cos eps) 2))) (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1))) (cos eps)) (/ (* (sin eps) (- (* -1/2 (* (cos eps) (pow (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) 2))) (* -1 (* (sin eps) (- (/ 1 eps) (* -1 (/ (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) eps))))))) (pow (cos eps) 2)))))) (cos eps)) (+ (/ (* (sin eps) (- (* -1 (* (cos eps) (* (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) (- (/ 1 eps) (* -1 (/ (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) eps)))))) (* (sin eps) (+ (* -1 (/ (- (/ 1 eps) (* -1 (/ (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) eps))) eps)) (* 1/6 (pow (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) 3)))))) (pow (cos eps) 2)) (/ (* (- (* -1 (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (/ (* (pow (sin eps) 2) (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (pow (cos eps) 2))) (- (* -1/2 (* (cos eps) (pow (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) 2))) (* -1 (* (sin eps) (- (/ 1 eps) (* -1 (/ (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) eps))))))) (cos eps))))))))) (+ (/ (* (sin eps) (* (- (* -1 (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (/ (* (pow (sin eps) 2) (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (pow (cos eps) 2))) (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1))) (cos eps)) (/ (* (sin eps) (- (* -1/2 (* (cos eps) (pow (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) 2))) (* -1 (* (sin eps) (- (/ 1 eps) (* -1 (/ (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) eps))))))) (pow (cos eps) 2)))))) (+ 1 (/ (* (pow (sin eps) 2) (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* -1 (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (/ (* (pow (sin eps) 2) (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ (* -1 (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (* x (- (+ (* -1 (- (/ 1 eps) (* -1 (/ (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) eps)))) (* -1/2 (/ (* (sin eps) (pow (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) 2)) (cos eps)))) (+ (/ (* (sin eps) (* (- (* -1 (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (/ (* (pow (sin eps) 2) (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (pow (cos eps) 2))) (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1))) (cos eps)) (/ (* (sin eps) (- (* -1/2 (* (cos eps) (pow (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) 2))) (* -1 (* (sin eps) (- (/ 1 eps) (* -1 (/ (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) eps))))))) (pow (cos eps) 2)))))) (/ (* (pow (sin eps) 2) (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ (* -1 (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (* x (- (+ (* -1 (- (/ 1 eps) (* -1 (/ (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) eps)))) (+ (* -1/2 (/ (* (sin eps) (pow (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) 2)) (cos eps))) (* x (- (+ (* -1 (/ (* (sin eps) (* (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) (- (/ 1 eps) (* -1 (/ (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) eps))))) (cos eps))) (+ (* -1 (/ (- (/ 1 eps) (* -1 (/ (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) eps))) eps)) (* 1/6 (pow (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) 3)))) (+ (/ (* (sin eps) (* (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) (- (+ (* -1 (- (/ 1 eps) (* -1 (/ (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) eps)))) (* -1/2 (/ (* (sin eps) (pow (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) 2)) (cos eps)))) (+ (/ (* (sin eps) (* (- (* -1 (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (/ (* (pow (sin eps) 2) (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (pow (cos eps) 2))) (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1))) (cos eps)) (/ (* (sin eps) (- (* -1/2 (* (cos eps) (pow (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) 2))) (* -1 (* (sin eps) (- (/ 1 eps) (* -1 (/ (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) eps))))))) (pow (cos eps) 2)))))) (cos eps)) (+ (/ (* (sin eps) (- (* -1 (* (cos eps) (* (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) (- (/ 1 eps) (* -1 (/ (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) eps)))))) (* (sin eps) (+ (* -1 (/ (- (/ 1 eps) (* -1 (/ (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) eps))) eps)) (* 1/6 (pow (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) 3)))))) (pow (cos eps) 2)) (/ (* (- (* -1 (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (/ (* (pow (sin eps) 2) (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (pow (cos eps) 2))) (- (* -1/2 (* (cos eps) (pow (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) 2))) (* -1 (* (sin eps) (- (/ 1 eps) (* -1 (/ (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) eps))))))) (cos eps)))))))) (+ (/ (* (sin eps) (* (- (* -1 (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (/ (* (pow (sin eps) 2) (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (pow (cos eps) 2))) (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1))) (cos eps)) (/ (* (sin eps) (- (* -1/2 (* (cos eps) (pow (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) 2))) (* -1 (* (sin eps) (- (/ 1 eps) (* -1 (/ (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) eps))))))) (pow (cos eps) 2)))))) (/ (* (pow (sin eps) 2) (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(+ eps (* -1 (* x (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1))))
(+ eps (* x (+ (* -1 (* x (- (/ 1 eps) (* -1 (/ (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) eps))))) (* -1 (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)))))
(+ eps (* x (+ (* -1 (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1)) (* x (+ (* -1 (- (/ 1 eps) (* -1 (/ (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) eps)))) (* -1 (/ (* x (- (/ 1 eps) (* -1 (/ (- (* -1 (/ (+ eps (* -1 eps)) eps)) 1) eps)))) eps)))))))
(+ eps (* x (+ (* x (+ eps (* eps (* x (+ eps (* 1/3 eps)))))) (pow eps 2))))
(* x (+ eps (* x (+ 1 (* x (+ eps (* 1/3 eps)))))))
(* x (+ eps (* x (+ 1 (* x (+ eps (+ (* 1/3 eps) (* 2/3 x))))))))
(* (pow eps 2) x)
(* x (+ (* eps x) (pow eps 2)))
(* x (+ (* x (+ eps (* eps (* x (+ eps (* 1/3 eps)))))) (pow eps 2)))
(* x (+ (* x (+ eps (* x (+ (* 2/3 (* eps x)) (* eps (+ eps (* 1/3 eps))))))) (pow eps 2)))
1/3
(+ 1/3 (* 1/6 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/6 (* 5/72 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/72 (* 61/2160 (pow x 2)))))))
(* -1 (pow x 2))
(* (pow x 2) (- (* -1/6 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* -31/360 (pow x 2)) 1/6)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -173/5040 (pow x 2)) 31/360)) 1/6)) 1))
(pow eps 2)
(+ (* eps x) (pow eps 2))
(+ (* x (+ eps x)) (pow eps 2))
(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))))))))
(- (+ (cos x) (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x))))
(/ (- (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(- (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(* eps (- (+ (cos x) (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(+ eps (/ (* eps (+ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (/ (pow (sin x) 2) (cos x)))) (cos x)))
(* x (+ (/ eps x) (pow eps 2)))
(/ (+ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (/ (pow (sin x) 2) (cos x))) (cos x))
(+ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (/ (pow (sin x) 2) (cos x)))
(/ 1 x)
(/ (+ 1 (* -1 (/ (- (+ eps (* -1 eps)) (* -1 (+ eps (* -1 eps)))) x))) x)
(/ (+ 1 (+ (* -1 (/ (- (+ eps (* -1 eps)) (* -1 (+ eps (* -1 eps)))) x)) (* -1 (/ (- (pow eps 2) (+ (* -1 (+ (* -1 (pow eps 2)) (pow eps 2))) (* (+ eps (* -1 eps)) (- (+ eps (* -1 eps)) (* -1 (+ eps (* -1 eps))))))) (pow x 2))))) x)
(/ (+ 1 (+ (* -1 (/ (- (+ eps (* -1 eps)) (* -1 (+ eps (* -1 eps)))) x)) (+ (* -1 (/ (- (pow eps 2) (+ (* -1 (+ (* -1 (pow eps 2)) (pow eps 2))) (* (+ eps (* -1 eps)) (- (+ eps (* -1 eps)) (* -1 (+ eps (* -1 eps))))))) (pow x 2))) (+ (/ (* (+ eps (* -1 eps)) (- (pow eps 2) (+ (* -1 (+ (* -1 (pow eps 2)) (pow eps 2))) (* (+ eps (* -1 eps)) (- (+ eps (* -1 eps)) (* -1 (+ eps (* -1 eps)))))))) (pow x 3)) (+ (/ (* (+ (* -1 (pow eps 2)) (pow eps 2)) (- (+ eps (* -1 eps)) (* -1 (+ eps (* -1 eps))))) (pow x 3)) (/ (pow eps 3) (pow x 3))))))) x)
(- (/ (sin (* -1 (/ (* (+ eps x) (- eps x)) (- x eps)))) (cos (* -1 (/ (* (+ eps x) (- eps x)) (- x eps))))) (/ (sin x) (cos x)))
(/ (sin (* -1 (/ (* (+ eps x) (- eps x)) (- x eps)))) (cos (* -1 (/ (* (+ eps x) (- eps x)) (- x eps)))))
x
(* x (+ 1 (/ eps x)))
(+ eps (* eps (+ (/ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ (/ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(* eps (+ (/ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x))))
(* -1 (/ (pow (sin x) 2) (cos x)))
(* (pow x 2) (+ 1 (/ eps x)))
(* (pow x 2) (+ 1 (+ (/ eps x) (/ (pow eps 2) (pow x 2)))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(* -1 (* x (+ (* -1 (/ eps x)) (* -1 (pow eps 2)))))
(* -1 (/ (- (/ (pow eps 2) (pow x 2)) 1) x))
(* -1 (/ (- (* -1 (/ (pow eps 3) (pow x 3))) (+ 1 (* -1 (/ (pow eps 2) (pow x 2))))) x))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow eps 4) x)) (/ (pow eps 4) x)) (* -1 (pow eps 3))) (pow x 3))) (+ 1 (* -1 (/ (pow eps 2) (pow x 2))))) x))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 eps) (* -1 (/ (pow eps 2) x))) x))))
(- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))
(/ (* eps (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (cos x))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))))) (pow (cos x) 2))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1/3 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2))))))) (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- (+ (cos x) (* (pow eps 2) (- (* 1/3 (cos x)) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (- (* 2/15 (cos x)) (* -2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (- (+ (* 2/15 (cos x)) (* (pow eps 2) (- (* 17/315 (cos x)) (* -17/315 (/ (pow (sin x) 2) (cos x)))))) (* -2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* 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 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (* eps x)))
(+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (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)))
(+ (* -1 (/ (* eps (+ (* -1 (pow x 2)) (pow x 2))) (pow x 4))) (/ 1 x))
(+ (* eps (+ (* -1 (* eps (- (/ 1 (pow x 3)) (+ (* -1 (/ (+ x (* -1 x)) (pow x 4))) (/ (pow (+ (* -1 (pow x 2)) (pow x 2)) 2) (pow x 7)))))) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow x 4))))) (/ 1 x))
(+ (* eps (+ (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow x 4))) (* eps (+ (* -1 (- (/ 1 (pow x 3)) (+ (* -1 (/ (+ x (* -1 x)) (pow x 4))) (/ (pow (+ (* -1 (pow x 2)) (pow x 2)) 2) (pow x 7))))) (* eps (+ (/ 1 (pow x 4)) (+ (/ (* (+ x (* -1 x)) (+ (* -1 (pow x 2)) (pow x 2))) (pow x 7)) (/ (* (+ (* -1 (pow x 2)) (pow x 2)) (- (/ 1 (pow x 3)) (+ (* -1 (/ (+ x (* -1 x)) (pow x 4))) (/ (pow (+ (* -1 (pow x 2)) (pow x 2)) 2) (pow x 7))))) (pow x 3))))))))) (/ 1 x))
(/ (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 x)
(/ (* eps (pow (sin x) 2)) (pow (cos x) 2))
(* eps (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ (* eps x) (pow x 2))
(+ (* eps (+ eps x)) (pow x 2))
(* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x)))))
(* (pow eps 2) (- (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (/ (cos x) (pow eps 2))) (* -1 (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))
(* 1/3 (* (pow eps 3) (+ (cos x) (/ (pow (sin x) 2) (cos x)))))
(* (pow eps 3) (- (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (/ (cos x) (pow eps 2))) (* -1 (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))
(/ (* (pow eps 2) (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* (pow eps 2) (+ x (/ 1 eps)))
(/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
(* eps (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (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 (* -1 (/ (- (* -1 (+ x (* -1 x))) (+ x (* -1 x))) eps))) eps)
(/ (+ 1 (+ (* -1 (/ (* (+ x (* -1 x)) (- (* -1 (+ x (* -1 x))) (+ x (* -1 x)))) (pow eps 2))) (+ (* -1 (/ (- (* -1 (+ x (* -1 x))) (+ x (* -1 x))) eps)) (* -1 (/ (pow x 2) (pow eps 2)))))) eps)
(/ (+ 1 (+ (* -1 (/ (* (+ x (* -1 x)) (- (* -1 (+ x (* -1 x))) (+ x (* -1 x)))) (pow eps 2))) (+ (* -1 (/ (* (+ (* -1 (pow x 2)) (pow x 2)) (- (* -1 (+ x (* -1 x))) (+ x (* -1 x)))) (pow eps 3))) (+ (* -1 (/ (- (* -1 (+ x (* -1 x))) (+ x (* -1 x))) eps)) (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (/ (* (+ x (* -1 x)) (+ (* -1 (* (+ x (* -1 x)) (- (* -1 (+ x (* -1 x))) (+ x (* -1 x))))) (* -1 (pow x 2)))) (pow eps 3)) (/ (pow x 3) (pow eps 3)))))))) eps)
(* eps (+ 1 (* -1 (/ (- (* -1 (+ x (* -1 x))) x) eps))))
(* eps (+ 1 (+ (* -1 (/ (- (* -1 (+ x (* -1 x))) x) eps)) (* -1 (/ (- (pow x 2) (* -1 (* x (- (* -1 (+ x (* -1 x))) x)))) (pow eps 2))))))
(* eps (+ 1 (+ (* -1 (/ (* x (- (pow x 2) (* -1 (* x (- (* -1 (+ x (* -1 x))) x))))) (pow eps 3))) (+ (* -1 (/ (- (* -1 (+ x (* -1 x))) x) eps)) (* -1 (/ (- (pow x 2) (* -1 (* x (- (* -1 (+ x (* -1 x))) x)))) (pow eps 2)))))))
(* (pow eps 2) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))
(* (pow eps 2) (+ 1 (/ x eps)))
(* (pow eps 2) (+ 1 (+ (/ x eps) (/ (pow x 2) (pow eps 2)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))) (pow eps 2))) (* -1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(* -1 (/ (* (pow eps 2) (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x))) (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps))))
(* -1 (/ (* eps (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))
(* -1 (* eps (+ (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x)))))
(* -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 (/ (- (/ (pow x 2) (pow eps 2)) 1) eps))
(* -1 (/ (- (* -1 (/ (pow x 3) (pow eps 3))) (+ 1 (* -1 (/ (pow x 2) (pow eps 2))))) eps))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow x 4) eps)) (/ (pow x 4) eps)) (* -1 (pow x 3))) (pow eps 3))) (+ 1 (* -1 (/ (pow x 2) (pow eps 2))))) eps))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* (pow eps 2) (+ (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x))) (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) eps))) eps))))

Outputs
(+ 1 (* 1/3 (pow eps 2)))
(fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))
(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/2 (* 1/6 (pow eps 2))))))
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(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/2 (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ 5/24 (* 5/72 (pow eps 2)))))))))
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(/ (sin eps) (cos eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
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(* eps (+ 1 (* 1/3 (pow eps 2))))
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(+ (* eps (* (pow x 2) (+ 1/2 (* 1/6 (pow eps 2))))) (* eps (+ 1 (* 1/3 (pow eps 2)))))
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eps
(+ eps (* (pow eps 2) x))
(fma.f64 (*.f64 eps eps) x eps)
(+ eps (* x (+ (* eps x) (pow eps 2))))
(fma.f64 (*.f64 (+.f64 x eps) eps) x eps)
(+ eps (* x (+ (* x (+ eps (* x (- (* eps (+ eps (* -1/6 eps))) (* -1/2 (pow eps 2)))))) (pow eps 2))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 5/6 binary64) eps) eps (.f64 #s(literal 1/2 binary64) (.f64 eps eps))) x eps) x (.f64 eps eps)) x eps)
(* eps x)
(*.f64 x eps)
(* x (+ eps x))
(*.f64 (+.f64 x eps) x)
(* x (+ eps (* x (+ 1 (* x (- (+ eps (* -1/6 eps)) (* -1/2 eps)))))))
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(* x (+ eps (* x (+ 1 (* x (- (+ eps (+ (* -1/6 eps) (* 2/3 x))) (* -1/2 eps)))))))
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(* x (+ eps (* x (+ 1 (* x (+ eps (* -1/6 eps)))))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 5/6 binary64) eps) x #s(literal 1 binary64)) x eps) x)
(* x (+ eps (* x (+ 1 (* x (+ eps (+ (* -1/6 eps) (* 1/6 x))))))))
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(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
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(- (/ (sin (* -1 (/ (* (+ eps x) (- eps x)) (- x eps)))) (cos (* -1 (/ (* (+ eps x) (- eps x)) (- x eps))))) (/ (sin x) (cos x)))
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(/ (sin (* -1 (/ (* (+ eps x) (- eps x)) (- x eps)))) (cos (* -1 (/ (* (+ eps x) (- eps x)) (- x eps)))))
(/.f64 (neg.f64 (sin.f64 (/.f64 (.f64 (-.f64 eps x) (+.f64 x eps)) (-.f64 x eps)))) (cos.f64 (/.f64 (.f64 (-.f64 eps x) (+.f64 x eps)) (-.f64 x eps))))
x
(* x (+ 1 (/ eps x)))
(*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x)
(+ eps (* eps (+ (/ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(+ (/ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(fma.f64 (sin.f64 x) (/.f64 (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(* eps (+ (/ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
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(* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x))))
(*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (cos.f64 x)) #s(literal 1/3 binary64))
(* -1 (/ (pow (sin x) 2) (cos x)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x))
(* (pow x 2) (+ 1 (/ eps x)))
(.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) (.f64 x x))
(* (pow x 2) (+ 1 (+ (/ eps x) (/ (pow eps 2) (pow x 2)))))
(.f64 (+.f64 (fma.f64 (/.f64 eps x) (/.f64 eps x) (/.f64 eps x)) #s(literal 1 binary64)) (.f64 x x))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
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(* -1 (* x (+ (* -1 (/ eps x)) (* -1 (pow eps 2)))))
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 eps eps (/.f64 eps x))))
(* -1 (/ (- (/ (pow eps 2) (pow x 2)) 1) x))
(/.f64 (-.f64 (*.f64 (/.f64 eps x) (/.f64 eps x)) #s(literal 1 binary64)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (pow eps 3) (pow x 3))) (+ 1 (* -1 (/ (pow eps 2) (pow x 2))))) x))
(/.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 eps) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 eps eps) x) #s(literal 1 binary64))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow eps 4) x)) (/ (pow eps 4) x)) (* -1 (pow eps 3))) (pow x 3))) (+ 1 (* -1 (/ (pow eps 2) (pow x 2))))) x))
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(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 (-.f64 eps (neg.f64 x))))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 eps) (* -1 (/ (pow eps 2) x))) x))))
(.f64 (fma.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (.f64 eps eps) x) eps)) x) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 x x))
(- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))
(-.f64 (cos.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x)))
(/ (* eps (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (cos x))
(*.f64 eps (/.f64 (-.f64 (cos.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (cos.f64 x)))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))))) (pow (cos x) 2))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (fma.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 (.f64 (-.f64 (cos.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))) eps (.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (cos.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps #s(literal 1 binary64)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1/3 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2))))))) (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* eps (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))))
(*.f64 (-.f64 (cos.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x))) eps)
(* eps (- (+ (cos x) (* (pow eps 2) (- (* 1/3 (cos x)) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(.f64 (-.f64 (fma.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (cos.f64 x)) #s(literal 1/3 binary64)) (*.f64 eps eps) (cos.f64 x)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x))) eps)
(* eps (- (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (- (* 2/15 (cos x)) (* -2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
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(* eps (- (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (- (+ (* 2/15 (cos x)) (* (pow eps 2) (- (* 17/315 (cos x)) (* -17/315 (/ (pow (sin x) 2) (cos x)))))) (* -2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
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(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(*.f64 (-.f64 #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)))) 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)))))
(.f64 (-.f64 (fma.f64 eps (.f64 (sin.f64 x) (/.f64 (-.f64 #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)))) (cos.f64 x))) #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)))) 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)))))
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(* 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)))))
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(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 x) eps) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) eps) (/.f64 (*.f64 x x) eps) #s(literal 1 binary64))) (neg.f64 eps))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow x 4) eps)) (/ (pow x 4) eps)) (* -1 (pow x 3))) (pow eps 3))) (+ 1 (* -1 (/ (pow x 2) (pow eps 2))))) eps))
(/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) eps) (/.f64 (.f64 x x) eps) #s(literal 1 binary64))) (neg.f64 eps))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 (-.f64 x (neg.f64 eps))))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64)))
(* (pow eps 2) (+ (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x))) (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))
(.f64 (fma.f64 (neg.f64 (sin.f64 x)) (/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 x)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (.f64 eps eps))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) eps))) eps))))
(.f64 (fma.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (.f64 x x) eps) x)) eps) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 eps eps))

rewrite185.0ms (1.3%)

Memory

27.7MiB live, 166.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	594
0	125	594
1	539	435
2	4671	435
0	8118	423

Stop Event

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

Counts

24 → 444

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x))) #s(literal 2 binary64)) (.f64 (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)))) (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x))) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x))))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 eps eps) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x))) #s(literal 3 binary64)) #s(literal 1/27 binary64) (pow.f64 (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 (.f64 eps eps) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x))) #s(literal 2 binary64)) #s(literal 1/9 binary64) (-.f64 (.f64 (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x))) (.f64 (.f64 (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x))) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (sin.f64 x)) (neg.f64 (tan.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (tan.f64 x) (sin.f64 x)) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)) (cos.f64 x)) (.f64 (neg.f64 (sin.f64 x)) (neg.f64 (tan.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 (tan.f64 x) (sin.f64 x)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (neg.f64 (tan.f64 x)) (sin.f64 x) (fma.f64 (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)) (cos.f64 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) (sin.f64 x) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)) (cos.f64 x))) (pow.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)) (cos.f64 x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 (tan.f64 x) (sin.f64 x)) #s(literal 2 binary64))) (fma.f64 (neg.f64 (tan.f64 x)) (sin.f64 x) (fma.f64 (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)) (cos.f64 x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) (sin.f64 x) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)) (cos.f64 x))) (pow.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)) (cos.f64 x)) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x))) (.f64 (neg.f64 (tan.f64 x)) (sin.f64 x))))
(fma.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 eps eps) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x))) #s(literal 1/3 binary64) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (tan.f64 x)))))
(fma.f64 (.f64 (.f64 (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal 1/3 binary64)) (neg.f64 eps)) (neg.f64 eps) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)))
(fma.f64 (.f64 (.f64 (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal 1/3 binary64)) (fabs.f64 eps)) (fabs.f64 eps) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)))
(fma.f64 (.f64 (.f64 eps eps) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x))) #s(literal 1/3 binary64) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)))
(fma.f64 (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x))) (.f64 (neg.f64 (tan.f64 x)) (sin.f64 x))))
(fma.f64 (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)) (fma.f64 (.f64 (.f64 eps eps) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x))) #s(literal 1/3 binary64) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (tan.f64 x)))))
(fma.f64 (neg.f64 (sin.f64 x)) (neg.f64 (tan.f64 x)) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)) (cos.f64 x)))
(fma.f64 (.f64 (.f64 eps #s(literal 1/3 binary64)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x))) eps (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)))
(fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)))
(fma.f64 (neg.f64 eps) (.f64 (neg.f64 eps) (.f64 (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal 1/3 binary64))) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)))
(fma.f64 (fabs.f64 eps) (.f64 (fabs.f64 eps) (.f64 (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal 1/3 binary64))) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)))
(fma.f64 (neg.f64 (tan.f64 x)) (neg.f64 (sin.f64 x)) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)) (cos.f64 x)))
(fma.f64 (.f64 (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal 1/3 binary64)) (.f64 eps eps) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)))
(fma.f64 (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)))
(fma.f64 #s(literal 1/3 binary64) (.f64 (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)) (.f64 eps eps)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)))
(fma.f64 (.f64 eps eps) (.f64 (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal 1/3 binary64)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)))
(fma.f64 eps (.f64 (.f64 eps #s(literal 1/3 binary64)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x))) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)) (cos.f64 x)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (tan.f64 x)) (sin.f64 x) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)) (cos.f64 x)))) (/.f64 (pow.f64 (.f64 (tan.f64 x) (sin.f64 x)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (tan.f64 x)) (sin.f64 x) (fma.f64 (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)) (cos.f64 x)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)) (cos.f64 x)) #s(literal 3 binary64)) (fma.f64 (.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) (sin.f64 x) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)) (cos.f64 x))) (pow.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)) (cos.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)) #s(literal 3 binary64)) (fma.f64 (.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) (sin.f64 x) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)) (cos.f64 x))) (pow.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)) (cos.f64 x)) #s(literal 2 binary64)))))
(-.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)) (cos.f64 x)) (*.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (tan.f64 x))))
(-.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)) (cos.f64 x)) (*.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)))
(+.f64 (.f64 (neg.f64 (sin.f64 x)) (neg.f64 (tan.f64 x))) (fma.f64 (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)) (cos.f64 x)))
(+.f64 (.f64 (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x))) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)))
(+.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)) (cos.f64 x)) (*.f64 (neg.f64 (neg.f64 (tan.f64 x))) (sin.f64 x)))
(+.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (tan.f64 x))))
(+.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)) (cos.f64 x)) (*.f64 (tan.f64 x) (sin.f64 x)))
(+.f64 (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)) (.f64 (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x))))
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eval149.0ms (1%)

Memory: -14.0MiB live, 131.4MiB allocated
Compiler: Compiled 33 096 to 3 449 computations (89.6% saved)

prune102.0ms (0.7%)

Memory

6.9MiB live, 98.3MiB allocated

Pruning

37 alts after pruning (33 fresh and 4 done)

	Pruned	Kept	Total
New	636	13	649
Fresh	10	20	30
Picked	3	2	5
Done	0	2	2
Total	649	37	686

Accuracy

100.0%

Counts

686 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.7%	(/.f64 (/.f64 (fma.f64 (sin.f64 x) (neg.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (*.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x))) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (cos.f64 x))
	99.3%	(/.f64 (/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (-.f64 (fma.f64 #s(approx (+ ( (cos x) 1/3) (* 1/3 (/ (pow (sin x) 2) (cos x)))) (fma.f64 (fma.f64 #s(literal 5/72 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/3 binary64))) (*.f64 eps eps) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) eps)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (cos.f64 x))
	99.4%	(/.f64 (/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (-.f64 (fma.f64 #s(approx (+ ( (cos x) 1/3) (* 1/3 (/ (pow (sin x) 2) (cos x)))) #s(literal 1/3 binary64)) (*.f64 eps eps) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) eps)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (cos.f64 x))
	37.3%	(/.f64 (-.f64 (pow.f64 (tan.f64 #s(approx (+ x eps) (.f64 (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64)) (neg.f64 x)))) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 #s(approx (+ x eps) (.f64 (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64)) (neg.f64 x)))) (tan.f64 x)))
	62.6%	(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
	97.3%	(/.f64 #s(approx (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (.f64 #s(approx (- (cos x) (/ (pow (sin x) 2) (neg (cos x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps)) (cos.f64 x))
	97.3%	(/.f64 #s(approx (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (.f64 #s(approx (- (cos x) (/ (pow (sin x) 2) (neg (cos x)))) (fma.f64 (fma.f64 #s(literal 5/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps)) (cos.f64 x))
	96.4%	(/.f64 #s(approx (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (*.f64 #s(approx (- (cos x) (/ (pow (sin x) 2) (neg (cos x)))) #s(literal 1 binary64)) eps)) (cos.f64 x))
	99.7%	(/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (fma.f64 (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x))) eps)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
	99.5%	(/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (-.f64 (fma.f64 (.f64 eps eps) #s(approx (* 1/3 (+ (* (sin x) (tan x)) (cos x))) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/3 binary64))) (cos.f64 x)) (.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))) eps)) (*.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
	99.4%	(/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (-.f64 (fma.f64 (.f64 eps eps) #s(approx (* 1/3 (+ (* (sin x) (tan x)) (cos x))) #s(literal 1/3 binary64)) (cos.f64 x)) (.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))) eps)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
	99.7%	(/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (+.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)) (cos.f64 x)) (.f64 (tan.f64 x) (sin.f64 x))) eps)) (*.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
	62.7%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x))
	5.0%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 eps (+.f64 (PI.f64) x)) (PI.f64)) (PI.f64)) (PI.f64))) (tan.f64 x))
	5.0%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) eps)) (tan.f64 x))
✓	5.1%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
	62.5%	(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
	8.0%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))))
✓	62.5%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓	25.4%	(-.f64 (tan.f64 (.f64 (/.f64 (.f64 (neg.f64 (-.f64 x eps)) (+.f64 eps x)) (.f64 (neg.f64 (fma.f64 (+.f64 eps x) eps (.f64 x x))) (-.f64 x eps))) (fma.f64 eps (+.f64 eps x) (*.f64 x x)))) (tan.f64 x))
	62.0%	(-.f64 (tan.f64 #s(approx (+ x eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))) (tan.f64 x))
	98.4%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps))
	97.5%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x eps) x)) (cos.f64 x)) eps eps))
✓	96.5%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (*.f64 eps x)) (cos.f64 x)) eps eps))
	97.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) eps (fma.f64 #s(literal 2/3 binary64) x (.f64 #s(literal 1/2 binary64) eps))) x #s(literal 1 binary64)) x eps) x)) eps eps))
	97.3%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (.f64 (fma.f64 (fma.f64 (.f64 eps #s(literal 4/3 binary64)) x #s(literal 1 binary64)) x eps) x)) eps eps))
	97.3%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (*.f64 (+.f64 x eps) x)) eps eps))
	98.5%	#s(approx (- (tan (+ x eps)) (tan x)) (+.f64 (.f64 (fma.f64 (fma.f64 #s(approx (pow (tan x) 2) (.f64 x x)) eps eps) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps) eps))
	99.2%	#s(approx (- (tan (+ x eps)) (tan x)) (+.f64 (.f64 (.f64 (tan.f64 x) (+.f64 (tan.f64 x) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))) eps) eps))
	97.6%	#s(approx (- (tan (+ x eps)) (tan x)) (+.f64 (.f64 #s(approx (+ ( (+ (* (pow (tan x) 2) eps) eps) (tan x)) (pow (tan x) 2)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) eps (.f64 #s(literal 2/3 binary64) x)) x #s(literal 1 binary64)) x eps) x)) eps) eps))
	98.4%	#s(approx (- (tan (+ x eps)) (tan x)) (+.f64 #s(approx (* (+ (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (pow (tan x) 2)) eps) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps))
	99.2%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (tan.f64 x) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) eps (tan.f64 x)) #s(literal 1 binary64)) eps))
	96.5%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (/.f64 #s(approx (+ ( (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (*.f64 x eps)) (cos.f64 x)) #s(literal 1 binary64)) eps))
	96.4%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
	96.4%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 eps eps) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)))
	96.4%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 eps eps) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)))
	96.4%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(approx (+ (* (* eps eps) x) eps) (*.f64 (fma.f64 x eps #s(literal 1 binary64)) eps))))

Compiler

Compiled 4 572 to 1 346 computations (70.6% saved)

regimes92.0ms (0.6%)

Memory

-6.0MiB live, 98.0MiB allocated

Counts

75 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(approx (+ (* (* eps eps) x) eps) (*.f64 (fma.f64 x eps #s(literal 1 binary64)) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (fma.f64 (*.f64 eps eps) x eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (fma.f64 (*.f64 eps (+.f64 eps x)) x eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (*.f64 (+.f64 x eps) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 eps eps) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (.f64 (fma.f64 (fma.f64 (.f64 eps #s(literal 4/3 binary64)) x #s(literal 1 binary64)) x eps) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (+.f64 (.f64 #s(approx (+ ( (+ (* (pow (tan x) 2) eps) eps) (tan x)) (pow (tan x) 2)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) eps (.f64 #s(literal 2/3 binary64) x)) x #s(literal 1 binary64)) x eps) x)) eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 eps eps) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) eps (fma.f64 #s(literal 2/3 binary64) x (.f64 #s(literal 1/2 binary64) eps))) x #s(literal 1 binary64)) x eps) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
(/.f64 #s(approx (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (*.f64 #s(approx (- (cos x) (/ (pow (sin x) 2) (neg (cos x)))) #s(literal 1 binary64)) eps)) (cos.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (*.f64 eps x)) (cos.f64 x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (/.f64 #s(approx (+ ( (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (*.f64 x eps)) (cos.f64 x)) #s(literal 1 binary64)) eps))
(/.f64 #s(approx (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (.f64 #s(approx (- (cos x) (/ (pow (sin x) 2) (neg (cos x)))) (fma.f64 (fma.f64 #s(literal 5/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps)) (cos.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x eps) x)) (cos.f64 x)) eps eps))
(/.f64 #s(approx (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (.f64 #s(approx (- (cos x) (/ (pow (sin x) 2) (neg (cos x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps)) (cos.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 eps (+.f64 (PI.f64) x)) (PI.f64)) (PI.f64)) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps))) (tan.f64 x))
(-.f64 (tan.f64 #s(approx (+ x eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))) (tan.f64 x))
(-.f64 (tan.f64 #s(approx (+ x eps) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))) (tan.f64 x))
(-.f64 (tan.f64 (.f64 (/.f64 (.f64 (neg.f64 (-.f64 x eps)) (+.f64 eps x)) (.f64 (neg.f64 (fma.f64 (+.f64 eps x) eps (.f64 x x))) (-.f64 x eps))) (fma.f64 eps (+.f64 eps x) (*.f64 x x)))) (tan.f64 x))
(-.f64 (tan.f64 (.f64 (/.f64 (/.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (fma.f64 (+.f64 eps x) eps (.f64 x x))) (-.f64 x eps)) (fma.f64 eps (+.f64 eps x) (.f64 x x)))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (tan.f64 x))
(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (+.f64 (.f64 (fma.f64 (fma.f64 #s(approx (pow (tan x) 2) (.f64 x x)) eps eps) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps) eps))
(/.f64 #s(approx (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (.f64 (-.f64 (cos.f64 x) (/.f64 #s(approx (pow (sin x) 2) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))) (neg.f64 (cos.f64 x)))) eps)) (cos.f64 x))
(/.f64 #s(approx (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (.f64 (-.f64 (cos.f64 x) (/.f64 #s(approx (pow (sin x) 2) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/315 binary64) (.f64 x x) #s(literal 2/45 binary64)) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) (neg.f64 (cos.f64 x)))) eps)) (cos.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 eps)) (tan x)) (+.f64 #s(approx (* (+ (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (pow (tan x) 2)) eps) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (tan.f64 x) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) eps (tan.f64 x)) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (+.f64 (.f64 (.f64 (tan.f64 x) (+.f64 (tan.f64 x) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))) eps) eps))
(/.f64 #s(approx (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (.f64 (-.f64 (cos.f64 x) (.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))) eps)) (cos.f64 x))
(-.f64 (tan.f64 (.f64 (/.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 eps (+.f64 eps x) (*.f64 x x)))) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (+.f64 (*.f64 (fma.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (tan.f64 x) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (*.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (tan.f64 x))) eps eps))
(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x))
#s(approx (/ (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (cos x)) (*.f64 eps (/.f64 (-.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) (cos.f64 x))))
(/.f64 #s(approx (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (*.f64 (-.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) eps)) (cos.f64 x))
(/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (-.f64 (fma.f64 (.f64 eps eps) #s(approx (* 1/3 (+ (* (sin x) (tan x)) (cos x))) #s(literal 1/3 binary64)) (cos.f64 x)) (.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))) eps)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
(/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (-.f64 (fma.f64 (.f64 eps eps) #s(approx (* 1/3 (+ (* (sin x) (tan x)) (cos x))) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/3 binary64))) (cos.f64 x)) (.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))) eps)) (*.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
(/.f64 (-.f64 (pow.f64 (tan.f64 #s(approx (+ x eps) (.f64 (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64)) (neg.f64 x)))) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 #s(approx (+ x eps) (.f64 (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64)) (neg.f64 x)))) (tan.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (tan.f64 x))) eps eps))
(/.f64 (/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (-.f64 (fma.f64 #s(approx (+ ( (cos x) 1/3) (* 1/3 (/ (pow (sin x) 2) (cos x)))) #s(literal 1/3 binary64)) (*.f64 eps eps) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) eps)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (cos.f64 x))
(/.f64 (/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 eps)) (cos.f64 eps)) (.f64 x x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (cos.f64 x))
(/.f64 (/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (-.f64 (fma.f64 #s(approx (+ ( (cos x) 1/3) (* 1/3 (/ (pow (sin x) 2) (cos x)))) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/3 binary64))) (.f64 eps eps) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) eps)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (cos.f64 x))
(/.f64 (/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (-.f64 (fma.f64 #s(approx (+ ( (cos x) 1/3) (* 1/3 (/ (pow (sin x) 2) (cos x)))) (fma.f64 (fma.f64 #s(literal 5/72 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/3 binary64))) (*.f64 eps eps) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) eps)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (cos.f64 x))
(/.f64 (/.f64 (-.f64 #s(approx (* (+ (tan eps) (tan x)) (cos x)) (fma.f64 (cos.f64 x) eps (sin.f64 x))) (*.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (sin.f64 x))) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (cos.f64 x))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 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 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (sin.f64 x))) (*.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x)) eps eps))
(/.f64 (/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (sin.f64 x))) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (cos.f64 x))
(/.f64 (/.f64 (fma.f64 (sin.f64 x) (neg.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (*.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x))) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (cos.f64 x))
(/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (fma.f64 (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x))) eps)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
(/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (+.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)) (cos.f64 x)) (.f64 (tan.f64 x) (sin.f64 x))) eps)) (*.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
(/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (-.f64 (fma.f64 (.f64 eps eps) (.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) (cos.f64 x)) (.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))) eps)) (*.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 #s(approx (* (- (* (neg eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (+ (* (* (/ (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (cos x) 2)) (pow (sin x) 2)) (sin x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3))) (cos x))) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/2) (+ (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2)) 1/6))) 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))
(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 x)))) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (tan.f64 x)))) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x)))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 #s(approx (* (- (* (neg eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (+ (* (* (/ (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (cos x) 2)) (pow (sin x) 2)) (sin x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3))) (cos x))) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/2) (+ (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2)) 1/6))) eps) (fma.f64 (fma.f64 (.f64 eps x) #s(literal 4/3 binary64) (.f64 (.f64 eps eps) #s(literal 2/3 binary64))) x (.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)) (.f64 (-.f64 (fma.f64 eps (.f64 (sin.f64 x) (/.f64 (-.f64 #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)))) (cos.f64 x))) #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)))) eps))
(/.f64 (/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (-.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal 1/3 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) (*.f64 eps eps) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) eps)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (cos.f64 x))
(/.f64 (-.f64 (.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))) (.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))
(fma.f64 (/.f64 (tan.f64 x) (-.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 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x)))
#s(approx (/ (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (cos x)) (.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (fma.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (-.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps (.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps #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)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) #s(literal -1/6 binary64)) eps) eps (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x))) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 (neg.f64 eps) (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) (sin.f64 x)) #s(literal -1/3 binary64) (fma.f64 (.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (sin.f64 x) (.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 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/6 binary64)))) eps) eps (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x))) eps eps))

Outputs

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

Calls

3 calls:

37.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
34.0ms	x
17.0ms	eps

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes71.0ms (0.5%)

Memory

10.8MiB live, 98.7MiB allocated

Counts

74 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

31.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
19.0ms	eps
17.0ms	x

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes52.0ms (0.4%)

Memory

-25.7MiB live, 77.6MiB allocated

Counts

63 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(approx (+ (* (* eps eps) x) eps) (*.f64 (fma.f64 x eps #s(literal 1 binary64)) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (fma.f64 (*.f64 eps eps) x eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (fma.f64 (*.f64 eps (+.f64 eps x)) x eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (*.f64 (+.f64 x eps) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 eps eps) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (.f64 (fma.f64 (fma.f64 (.f64 eps #s(literal 4/3 binary64)) x #s(literal 1 binary64)) x eps) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (+.f64 (.f64 #s(approx (+ ( (+ (* (pow (tan x) 2) eps) eps) (tan x)) (pow (tan x) 2)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) eps (.f64 #s(literal 2/3 binary64) x)) x #s(literal 1 binary64)) x eps) x)) eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 eps eps) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) eps (fma.f64 #s(literal 2/3 binary64) x (.f64 #s(literal 1/2 binary64) eps))) x #s(literal 1 binary64)) x eps) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
(/.f64 #s(approx (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (*.f64 #s(approx (- (cos x) (/ (pow (sin x) 2) (neg (cos x)))) #s(literal 1 binary64)) eps)) (cos.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (*.f64 eps x)) (cos.f64 x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (/.f64 #s(approx (+ ( (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (*.f64 x eps)) (cos.f64 x)) #s(literal 1 binary64)) eps))
(/.f64 #s(approx (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (.f64 #s(approx (- (cos x) (/ (pow (sin x) 2) (neg (cos x)))) (fma.f64 (fma.f64 #s(literal 5/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps)) (cos.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x eps) x)) (cos.f64 x)) eps eps))
(/.f64 #s(approx (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (.f64 #s(approx (- (cos x) (/ (pow (sin x) 2) (neg (cos x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps)) (cos.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 eps (+.f64 (PI.f64) x)) (PI.f64)) (PI.f64)) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps))) (tan.f64 x))
(-.f64 (tan.f64 #s(approx (+ x eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))) (tan.f64 x))
(-.f64 (tan.f64 #s(approx (+ x eps) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))) (tan.f64 x))
(-.f64 (tan.f64 (.f64 (/.f64 (.f64 (neg.f64 (-.f64 x eps)) (+.f64 eps x)) (.f64 (neg.f64 (fma.f64 (+.f64 eps x) eps (.f64 x x))) (-.f64 x eps))) (fma.f64 eps (+.f64 eps x) (*.f64 x x)))) (tan.f64 x))
(-.f64 (tan.f64 (.f64 (/.f64 (/.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (fma.f64 (+.f64 eps x) eps (.f64 x x))) (-.f64 x eps)) (fma.f64 eps (+.f64 eps x) (.f64 x x)))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (tan.f64 x))
(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (+.f64 (.f64 (fma.f64 (fma.f64 #s(approx (pow (tan x) 2) (.f64 x x)) eps eps) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps) eps))
(/.f64 #s(approx (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (.f64 (-.f64 (cos.f64 x) (/.f64 #s(approx (pow (sin x) 2) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))) (neg.f64 (cos.f64 x)))) eps)) (cos.f64 x))
(/.f64 #s(approx (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (.f64 (-.f64 (cos.f64 x) (/.f64 #s(approx (pow (sin x) 2) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/315 binary64) (.f64 x x) #s(literal 2/45 binary64)) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) (neg.f64 (cos.f64 x)))) eps)) (cos.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 eps)) (tan x)) (+.f64 #s(approx (* (+ (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (pow (tan x) 2)) eps) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (tan.f64 x) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) eps (tan.f64 x)) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (+.f64 (.f64 (.f64 (tan.f64 x) (+.f64 (tan.f64 x) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))) eps) eps))
(/.f64 #s(approx (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (.f64 (-.f64 (cos.f64 x) (.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))) eps)) (cos.f64 x))
(-.f64 (tan.f64 (.f64 (/.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 eps (+.f64 eps x) (*.f64 x x)))) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (+.f64 (*.f64 (fma.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (tan.f64 x) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (*.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (tan.f64 x))) eps eps))
(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x))
#s(approx (/ (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (cos x)) (*.f64 eps (/.f64 (-.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) (cos.f64 x))))
(/.f64 #s(approx (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (*.f64 (-.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) eps)) (cos.f64 x))
(/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (-.f64 (fma.f64 (.f64 eps eps) #s(approx (* 1/3 (+ (* (sin x) (tan x)) (cos x))) #s(literal 1/3 binary64)) (cos.f64 x)) (.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))) eps)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
(/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (-.f64 (fma.f64 (.f64 eps eps) #s(approx (* 1/3 (+ (* (sin x) (tan x)) (cos x))) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/3 binary64))) (cos.f64 x)) (.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))) eps)) (*.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
(/.f64 (-.f64 (pow.f64 (tan.f64 #s(approx (+ x eps) (.f64 (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64)) (neg.f64 x)))) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 #s(approx (+ x eps) (.f64 (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64)) (neg.f64 x)))) (tan.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (tan.f64 x))) eps eps))
(/.f64 (/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (-.f64 (fma.f64 #s(approx (+ ( (cos x) 1/3) (* 1/3 (/ (pow (sin x) 2) (cos x)))) #s(literal 1/3 binary64)) (*.f64 eps eps) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) eps)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (cos.f64 x))
(/.f64 (/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 eps)) (cos.f64 eps)) (.f64 x x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (cos.f64 x))
(/.f64 (/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (-.f64 (fma.f64 #s(approx (+ ( (cos x) 1/3) (* 1/3 (/ (pow (sin x) 2) (cos x)))) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/3 binary64))) (.f64 eps eps) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) eps)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (cos.f64 x))
(/.f64 (/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (-.f64 (fma.f64 #s(approx (+ ( (cos x) 1/3) (* 1/3 (/ (pow (sin x) 2) (cos x)))) (fma.f64 (fma.f64 #s(literal 5/72 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/3 binary64))) (*.f64 eps eps) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) eps)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (cos.f64 x))
(/.f64 (/.f64 (-.f64 #s(approx (* (+ (tan eps) (tan x)) (cos x)) (fma.f64 (cos.f64 x) eps (sin.f64 x))) (*.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (sin.f64 x))) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (cos.f64 x))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 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 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (sin.f64 x))) (*.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x)) eps eps))
(/.f64 (/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (sin.f64 x))) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (cos.f64 x))
(/.f64 (/.f64 (fma.f64 (sin.f64 x) (neg.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (*.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x))) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (cos.f64 x))
(/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (fma.f64 (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x))) eps)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))

Outputs

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

Calls

3 calls:

18.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
17.0ms	x
14.0ms	eps

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes47.0ms (0.3%)

Memory

5.5MiB live, 97.5MiB allocated

Counts

62 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(approx (+ (* (* eps eps) x) eps) (*.f64 (fma.f64 x eps #s(literal 1 binary64)) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (fma.f64 (*.f64 eps eps) x eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (fma.f64 (*.f64 eps (+.f64 eps x)) x eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (*.f64 (+.f64 x eps) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 eps eps) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (.f64 (fma.f64 (fma.f64 (.f64 eps #s(literal 4/3 binary64)) x #s(literal 1 binary64)) x eps) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (+.f64 (.f64 #s(approx (+ ( (+ (* (pow (tan x) 2) eps) eps) (tan x)) (pow (tan x) 2)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) eps (.f64 #s(literal 2/3 binary64) x)) x #s(literal 1 binary64)) x eps) x)) eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 eps eps) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) eps (fma.f64 #s(literal 2/3 binary64) x (.f64 #s(literal 1/2 binary64) eps))) x #s(literal 1 binary64)) x eps) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
(/.f64 #s(approx (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (*.f64 #s(approx (- (cos x) (/ (pow (sin x) 2) (neg (cos x)))) #s(literal 1 binary64)) eps)) (cos.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (*.f64 eps x)) (cos.f64 x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (/.f64 #s(approx (+ ( (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (*.f64 x eps)) (cos.f64 x)) #s(literal 1 binary64)) eps))
(/.f64 #s(approx (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (.f64 #s(approx (- (cos x) (/ (pow (sin x) 2) (neg (cos x)))) (fma.f64 (fma.f64 #s(literal 5/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps)) (cos.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x eps) x)) (cos.f64 x)) eps eps))
(/.f64 #s(approx (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (.f64 #s(approx (- (cos x) (/ (pow (sin x) 2) (neg (cos x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps)) (cos.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 eps (+.f64 (PI.f64) x)) (PI.f64)) (PI.f64)) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps))) (tan.f64 x))
(-.f64 (tan.f64 #s(approx (+ x eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))) (tan.f64 x))
(-.f64 (tan.f64 #s(approx (+ x eps) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))) (tan.f64 x))
(-.f64 (tan.f64 (.f64 (/.f64 (.f64 (neg.f64 (-.f64 x eps)) (+.f64 eps x)) (.f64 (neg.f64 (fma.f64 (+.f64 eps x) eps (.f64 x x))) (-.f64 x eps))) (fma.f64 eps (+.f64 eps x) (*.f64 x x)))) (tan.f64 x))
(-.f64 (tan.f64 (.f64 (/.f64 (/.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (fma.f64 (+.f64 eps x) eps (.f64 x x))) (-.f64 x eps)) (fma.f64 eps (+.f64 eps x) (.f64 x x)))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (tan.f64 x))
(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (+.f64 (.f64 (fma.f64 (fma.f64 #s(approx (pow (tan x) 2) (.f64 x x)) eps eps) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps) eps))
(/.f64 #s(approx (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (.f64 (-.f64 (cos.f64 x) (/.f64 #s(approx (pow (sin x) 2) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))) (neg.f64 (cos.f64 x)))) eps)) (cos.f64 x))
(/.f64 #s(approx (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (.f64 (-.f64 (cos.f64 x) (/.f64 #s(approx (pow (sin x) 2) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/315 binary64) (.f64 x x) #s(literal 2/45 binary64)) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) (neg.f64 (cos.f64 x)))) eps)) (cos.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 eps)) (tan x)) (+.f64 #s(approx (* (+ (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (pow (tan x) 2)) eps) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (tan.f64 x) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) eps (tan.f64 x)) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (+.f64 (.f64 (.f64 (tan.f64 x) (+.f64 (tan.f64 x) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))) eps) eps))
(/.f64 #s(approx (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (.f64 (-.f64 (cos.f64 x) (.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))) eps)) (cos.f64 x))
(-.f64 (tan.f64 (.f64 (/.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 eps (+.f64 eps x) (*.f64 x x)))) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (+.f64 (*.f64 (fma.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (tan.f64 x) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) (*.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (tan.f64 x))) eps eps))
(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x))
#s(approx (/ (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (cos x)) (*.f64 eps (/.f64 (-.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) (cos.f64 x))))
(/.f64 #s(approx (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (+ (* (neg (tan x)) (tan eps)) 1)) (*.f64 (-.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) eps)) (cos.f64 x))
(/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (-.f64 (fma.f64 (.f64 eps eps) #s(approx (* 1/3 (+ (* (sin x) (tan x)) (cos x))) #s(literal 1/3 binary64)) (cos.f64 x)) (.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))) eps)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
(/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (-.f64 (fma.f64 (.f64 eps eps) #s(approx (* 1/3 (+ (* (sin x) (tan x)) (cos x))) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/3 binary64))) (cos.f64 x)) (.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))) eps)) (*.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
(/.f64 (-.f64 (pow.f64 (tan.f64 #s(approx (+ x eps) (.f64 (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64)) (neg.f64 x)))) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 #s(approx (+ x eps) (.f64 (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64)) (neg.f64 x)))) (tan.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (tan.f64 x))) eps eps))
(/.f64 (/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (-.f64 (fma.f64 #s(approx (+ ( (cos x) 1/3) (* 1/3 (/ (pow (sin x) 2) (cos x)))) #s(literal 1/3 binary64)) (*.f64 eps eps) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) eps)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (cos.f64 x))
(/.f64 (/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 eps)) (cos.f64 eps)) (.f64 x x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (cos.f64 x))
(/.f64 (/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (-.f64 (fma.f64 #s(approx (+ ( (cos x) 1/3) (* 1/3 (/ (pow (sin x) 2) (cos x)))) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/3 binary64))) (.f64 eps eps) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) eps)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (cos.f64 x))
(/.f64 (/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (-.f64 (fma.f64 #s(approx (+ ( (cos x) 1/3) (* 1/3 (/ (pow (sin x) 2) (cos x)))) (fma.f64 (fma.f64 #s(literal 5/72 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1/3 binary64))) (*.f64 eps eps) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) eps)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (cos.f64 x))
(/.f64 (/.f64 (-.f64 #s(approx (* (+ (tan eps) (tan x)) (cos x)) (fma.f64 (cos.f64 x) eps (sin.f64 x))) (*.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (sin.f64 x))) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (cos.f64 x))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 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 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (sin.f64 x))) (*.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x)) eps eps))
(/.f64 (/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (sin.f64 x))) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (cos.f64 x))
(/.f64 (/.f64 (fma.f64 (sin.f64 x) (neg.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (*.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x))) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (cos.f64 x))

Outputs

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

Calls

3 calls:

16.0ms	x
15.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
14.0ms	eps

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes37.0ms (0.3%)

Memory

7.6MiB live, 53.8MiB allocated

Counts

49 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

12.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
11.0ms	x
11.0ms	eps

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes37.0ms (0.3%)

Memory

-5.1MiB live, 48.0MiB allocated

Counts

48 → 1

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
11.0ms	eps
11.0ms	x

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes29.0ms (0.2%)

Memory

-4.5MiB live, 42.0MiB allocated

Counts

37 → 1

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
9.0ms	x
9.0ms	eps

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes29.0ms (0.2%)

Memory

0.4MiB live, 46.4MiB allocated

Counts

36 → 1

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
9.0ms	eps
8.0ms	x

Results

Accuracy	Segments	Branch
98.5%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.5%	1	`x`
98.5%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes23.0ms (0.2%)

Memory

37.9MiB live, 37.9MiB allocated

Counts

31 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.6%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
97.6%	1	`x`
97.6%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes26.0ms (0.2%)

Memory

-35.7MiB live, 10.6MiB allocated

Counts

8 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

20.0ms	x
2.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
2.0ms	eps

Results

Accuracy	Segments	Branch
97.6%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
97.6%	1	`x`
97.6%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes7.0ms (0%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

6 → 1

Calls

Call 1

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

Outputs

#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (*.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal 4/3 binary64)) x #s(literal 1 binary64)) x eps) x)) eps 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
97.3%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
97.3%	1	`eps`
97.3%	1	`x`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes6.0ms (0%)

Memory

10.1MiB live, 10.1MiB allocated

Counts

5 → 1

Calls

Call 1

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

Outputs

#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (fma.f64 (*.f64 eps (+.f64 eps 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
97.3%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
97.3%	1	`x`
97.3%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0%)

Memory

5.8MiB live, 5.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
96.4%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
96.4%	1	`x`
96.4%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify56.0ms (0.4%)

Memory

-9.9MiB live, 43.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	167	709
1	255	701
2	500	693
3	1400	693
4	4800	677

Stop Event

1×	node limit

Calls

Call 1

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

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

soundness1.3s (8.6%)

Memory

16.9MiB live, 399.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1144	7735
1	3691	7565
0	8876	7214
0	818	4201
1	2842	3989
0	8437	3771
0	6	16
0	10	16
1	53	16
2	440	16
3	6608	16
0	8588	16
0	157	970
1	488	910
2	1845	849
0	8454	797
0	867	5760
1	3135	5606
0	8698	5361
0	73	594
0	125	594
1	539	435
2	4671	435
0	8118	423
0	65	632
0	117	626
1	456	461
2	3827	461
0	8348	452

Stop Event

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

Compiler

Compiled 1 091 to 428 computations (60.8% saved)

preprocess227.0ms (1.6%)

Memory: -28.0MiB live, 64.2MiB allocated
Compiler: Compiled 1 446 to 364 computations (74.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze65.0ms (0.4%)

sample6.7s (46.1%)

explain98.0ms (0.7%)

preprocess321.0ms (2.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify246.0ms (1.7%)

localize47.0ms (0.3%)

series11.0ms (0.1%)

simplify324.0ms (2.2%)

rewrite609.0ms (4.2%)

eval24.0ms (0.2%)

prune43.0ms (0.3%)

simplify220.0ms (1.5%)

localize723.0ms (5%)

series145.0ms (1%)

simplify237.0ms (1.6%)

rewrite214.0ms (1.5%)

eval167.0ms (1.2%)

prune38.0ms (0.3%)

simplify159.0ms (1.1%)

localize299.0ms (2.1%)

series72.0ms (0.5%)

simplify213.0ms (1.5%)

rewrite211.0ms (1.5%)

eval89.0ms (0.6%)

prune40.0ms (0.3%)

simplify180.0ms (1.2%)

localize339.0ms (2.3%)

series83.0ms (0.6%)

simplify176.0ms (1.2%)

rewrite185.0ms (1.3%)

eval149.0ms (1%)

prune102.0ms (0.7%)

regimes92.0ms (0.6%)

regimes71.0ms (0.5%)

regimes52.0ms (0.4%)

regimes47.0ms (0.3%)

regimes37.0ms (0.3%)

regimes37.0ms (0.3%)

regimes29.0ms (0.2%)

regimes29.0ms (0.2%)

regimes23.0ms (0.2%)

regimes26.0ms (0.2%)

regimes7.0ms (0%)

regimes6.0ms (0%)

regimes4.0ms (0%)

simplify56.0ms (0.4%)

soundness1.3s (8.6%)

preprocess227.0ms (1.6%)

end0.0ms (0%)

Profiling