Metrics for 2tan (problem 3.3.2)

start0.0ms (0%)

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

analyze60.0ms (0.4%)

Memory

15.0MiB live, 68.6MiB allocated; 34ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample6.9s (47.4%)

Memory

-101.1MiB live, 7 150.1MiB allocated; 2.6s collecting garbage

Samples

3.7s	25 643×	0	invalid
1.1s	5 125×	1	valid
386.0ms	3 131×	0	valid

Precisions

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

ival-tan: 703.0ms (21% of total)

const: 680.0ms (20.3% of total)

ival-add: 389.0ms (11.6% of total)

adjust: 282.0ms (8.4% of total)

ival-fabs: 263.0ms (7.9% of total)

ival-<=: 263.0ms (7.9% of total)

ival-mult: 252.0ms (7.5% of total)

ival-sub: 185.0ms (5.5% of total)

ival-<: 159.0ms (4.8% of total)

ival-and: 109.0ms (3.3% of total)

exact: 47.0ms (1.4% of total)

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

Bogosity

explain112.0ms (0.8%)

Memory

30.1MiB live, 175.5MiB allocated; 10ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
226	2	(-2.7860668095468377e-5 1.156008589113437e-9)	2	(-3.454990883413934e-238 3.9539246232771345e-240)	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
5	0	-	1	(11.153383610290986 3.491645850641634e-12)	`(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	226	4
`tan.f64`	`(tan.f64 (+.f64 x eps))`	sensitivity	4	0

Confusion

	Predicted +	Predicted -
+	226	2
-	2	26

Precision

0.9912280701754386

Recall

0.9912280701754386

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	226	2	0
-	2	2	24

Precision?

0.9827586206896551

Recall?

1.0

Freqs

test

number	freq
0	28
1	226
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

45.0ms	336×	1	valid
11.0ms	174×	0	valid
6.0ms	2×	3	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-tan: 18.0ms (41.5% of total)

adjust: 16.0ms (36.9% of total)

ival-add: 4.0ms (9.2% of total)

ival-sub: 4.0ms (9.2% of total)

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

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

preprocess280.0ms (1.9%)

Memory

-13.0MiB live, 261.1MiB allocated; 38ms collecting garbage

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; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.6%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify211.0ms (1.5%)

Memory

-1.6MiB live, 190.9MiB allocated; 11ms collecting garbage

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)

localize35.0ms (0.2%)

Memory

-0.6MiB live, 45.5MiB allocated; 3ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x eps)
accuracy	0.0	(tan.f64 x)
accuracy	0.20399289225600511	(tan.f64 (+.f64 x eps))
accuracy	24.33991611280469	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Samples

22.0ms	168×	1	valid
4.0ms	87×	0	valid
3.0ms	1×	3	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-tan: 10.0ms (48% of total)

adjust: 6.0ms (28.8% of total)

ival-add: 2.0ms (9.6% of total)

ival-sub: 2.0ms (9.6% of total)

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

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

series11.0ms (0.1%)

Memory

15.2MiB live, 15.2MiB allocated; 0ms collecting garbage

Counts

4 → 31

Calls

Call 1

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

Outputs
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
eps
(+ eps x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(* x (+ 1 (/ eps x)))
(/ (sin x) (cos x))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(* eps (+ 1 (/ x eps)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))

Calls

6 calls:

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

simplify190.0ms (1.3%)

Memory

-38.9MiB live, 132.4MiB allocated; 105ms collecting garbage

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)))

rewrite210.0ms (1.5%)

Memory

26.2MiB live, 315.7MiB allocated; 27ms collecting garbage

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)))))

eval25.0ms (0.2%)

Memory: 0.8MiB live, 46.2MiB allocated; 4ms collecting garbage
Compiler: Compiled 5 935 to 840 computations (85.8% saved)

prune19.0ms (0.1%)

Memory

-9.0MiB live, 37.8MiB allocated; 2ms collecting garbage

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	164	19	183
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	164	20	184

Accuracy

100.0%

Counts

184 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.9%	(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)))
	37.1%	(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))
	62.0%	(/.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)))))
	61.9%	(/.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)))
▶	61.6%	(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	62.0%	(-.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))
	61.6%	(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (tan.f64 x))
▶	62.0%	(-.f64 (+.f64 (/.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)))) (tan.f64 x))
	5.6%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (+.f64 (PI.f64) eps))) (tan.f64 x))
▶	5.6%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))) (tan.f64 x))
	5.7%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
	8.4%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
▶	8.5%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
✓	61.6%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	61.0%	(-.f64 (tan.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps))) (tan.f64 x))
	98.9%	#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))
▶	99.0%	#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))
	98.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x)) eps eps))
	97.8%	#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))
	95.6%	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))

Compiler

Compiled 1 129 to 548 computations (51.5% saved)

simplify190.0ms (1.3%)

Memory

-5.3MiB live, 213.8MiB allocated; 58ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(tan.f64 x)
cost-diff	0	(/.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)))
cost-diff	0	(-.f64 (+.f64 (/.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)))) (tan.f64 x))
cost-diff	8	(+.f64 (/.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))))
cost-diff	0	(+.f64 eps x)
cost-diff	0	(sin.f64 (-.f64 (+.f64 eps x) x))
cost-diff	0	(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
cost-diff	4	(-.f64 (+.f64 eps x) x)
cost-diff	0	(+.f64 (PI.f64) x)
cost-diff	0	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))) (tan.f64 x))
cost-diff	1	(+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))
cost-diff	3	(tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps)))
cost-diff	0	(+.f64 x eps)
cost-diff	0	(tan.f64 (+.f64 x eps))
cost-diff	0	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
cost-diff	2	(tan.f64 (+.f64 (PI.f64) x))
cost-diff	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	68	1379
0	134	1347
1	252	1251
2	656	1105
3	3013	1063
0	9065	1045

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

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

localize742.0ms (5.1%)

Memory

21.0MiB live, 1 190.8MiB allocated; 226ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.014003759768442016	(/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)))
accuracy	0.01953125	(/.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)))
accuracy	0.03515625	(+.f64 (/.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))))
accuracy	24.33991611280469	(-.f64 (+.f64 (/.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)))) (tan.f64 x))
accuracy	0.01953125	(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
accuracy	0.02734375	(*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
accuracy	0.14759329416710693	(cos.f64 (+.f64 eps x))
accuracy	24.55925286270706	(-.f64 (+.f64 eps x) x)
accuracy	0.01953125	(+.f64 (PI.f64) x)
accuracy	0.02734375	(+.f64 (PI.f64) eps)
accuracy	24.33991611280469	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))) (tan.f64 x))
accuracy	57.27330798006404	(tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps)))
accuracy	0.01953125	(+.f64 (PI.f64) x)
accuracy	0.20399289225600511	(tan.f64 (+.f64 x eps))
accuracy	24.33991611280469	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
accuracy	57.20827323970762	(tan.f64 (+.f64 (PI.f64) x))
accuracy	0.31640625	(*.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	0.3359375	(.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	0.6544414594616529	#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))
accuracy	0.96875	(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

606.0ms	253×	1	valid
26.0ms	1×	3	valid
1.0ms	2×	0	valid

Compiler

Compiled 1 330 to 77 computations (94.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 553.0ms

ival-tan: 188.0ms (34% of total)

adjust: 95.0ms (17.2% of total)

ival-div: 77.0ms (13.9% of total)

ival-mult: 77.0ms (13.9% of total)

ival-add: 40.0ms (7.2% of total)

ival-sub: 28.0ms (5.1% of total)

ival-pow2: 16.0ms (2.9% of total)

const: 14.0ms (2.5% of total)

ival-cos: 6.0ms (1.1% of total)

ival-sin: 6.0ms (1.1% of total)

ival-neg: 3.0ms (0.5% 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)

series109.0ms (0.8%)

Memory

3.8MiB live, 144.8MiB allocated; 47ms collecting garbage

Counts

27 → 175

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

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 (PI)) (cos (PI)))
(+ (* x (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(+ (* x (- (+ 1 (/ (* x (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))))) (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI))))))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(- (/ (sin eps) (cos eps)) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (+ (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* x (- (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(/ (sin eps) (cos eps))
(+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
eps
(+ eps x)
(/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI)))))
(+ (* x (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))
(+ (* x (- (+ 1 (/ (* x (* (sin (+ eps (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2)))))) (cos (+ eps (* 2 (PI)))))) (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ eps (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (pow (cos (+ eps (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ eps (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (cos (+ eps (* 2 (PI))))))))) (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))
(+ eps (* 2 (PI)))
(+ eps (+ x (* 2 (PI))))
(+ (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))) (/ (* x (pow (sin (+ eps (* 2 (PI)))) 2)) (pow (cos (+ eps (* 2 (PI)))) 2)))
(+ (* x (- (/ (* x (* (sin (+ eps (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2)))))) (cos (+ eps (* 2 (PI))))) (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin (+ eps (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (pow (cos (+ eps (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ eps (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (cos (+ eps (* 2 (PI)))))))) (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))
(PI)
(+ x (PI))
(+ (/ (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 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(sin eps)
(+ (* x (- (+ 1 (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (* x (- (* x (- 1/3 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
x
(* x (+ 1 (/ (* x (sin eps)) (cos eps))))
(* x (+ 1 (* x (- (* x (- 1/3 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1 (/ (sin eps) (cos eps)))))))
(* x (+ 1 (* x (- (* x (- (+ 1/3 (* -1 (* x (+ (* -1 (/ (* (sin eps) (- 1/3 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (* -1/3 (/ (sin eps) (cos eps))))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1 (/ (sin eps) (cos eps)))))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(+ (* x (- (/ (* 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)))
(* 1/3 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))))))
(* 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))
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))
(+ (* x (- (/ (* x (pow (sin eps) 3)) (pow (cos eps) 3)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* -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 (+ x (PI))) (cos (+ x (PI))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(/ (sin (+ eps x)) (cos (+ eps x)))
(* x (+ 1 (/ eps x)))
(/ (sin (+ eps (+ x (* 2 (PI))))) (cos (+ eps (+ x (* 2 (PI))))))
(* x (+ 1 (+ (* 2 (/ (PI) x)) (/ eps x))))
(- (/ (sin (+ eps (+ x (* 2 (PI))))) (cos (+ eps (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))
(* x (+ 1 (/ (PI) x)))
(/ (sin eps) (* (cos x) (cos (+ eps x))))
(+ (/ (sin eps) (* (cos eps) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))))
(- (+ (/ (sin eps) (* (cos eps) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (/ (sin x) (cos x)))
(/ (sin x) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(/ (sin x) (cos x))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(* 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)))))))
(* -1/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))))
(cos (+ eps x))
(* (cos x) (cos (+ eps x)))
(/ (sin eps) (* (cos eps) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x))))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x)))))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(/ (sin (- (+ eps (* 2 (PI))) (* -1 x))) (cos (- (+ eps (* 2 (PI))) (* -1 x))))
(* -1 (* x (- (* -1 (/ (+ eps (* 2 (PI))) x)) 1)))
(- (/ (sin (- (+ eps (* 2 (PI))) (* -1 x))) (cos (- (+ eps (* 2 (PI))) (* -1 x)))) (/ (sin x) (cos x)))
(* -1 (* x (- (* -1 (/ (PI) x)) 1)))
(/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(cos (- eps (* -1 x)))
(* (cos x) (cos (- eps (* -1 x))))
(- (/ (sin x) (cos x)) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))
(+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))) (cos (+ x (* 2 (PI)))))) (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (pow (cos (+ x (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ x (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (cos (+ x (* 2 (PI))))))))) (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(+ x (* 2 (PI)))
(- (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))) (/ (sin x) (cos x)))
(- (+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))
(- (+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))) (cos (+ x (* 2 (PI)))))) (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))
(- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (pow (cos (+ x (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ x (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (cos (+ x (* 2 (PI))))))))) (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))
(/ eps (pow (cos x) 2))
(* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3))))
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))
(* 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))))
(+ (* eps (- (+ 1 (* -1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* -1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* -1/3 (/ (sin x) (cos x))) (+ (* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ (/ (sin x) (cos x)) (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(+ (* eps (- (/ (* eps (pow (sin x) 3)) (pow (cos x) 3)) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(* 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)))))
(* -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 (PI))
(cos x)
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(pow (cos x) 2)
(+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2))
(* eps (+ 1 (/ (* eps (sin x)) (cos x))))
(* eps (+ 1 (* eps (- (* eps (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (sin x) (cos x)))))))
(* eps (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* -1/3 (/ (sin x) (cos x))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (sin x) (cos x)))))))
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (+ (* 2 (/ (PI) eps)) (/ x 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)))))
(* eps (+ 1 (/ (PI) eps)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(/ (sin (- (+ x (* 2 (PI))) (* -1 eps))) (cos (- (+ x (* 2 (PI))) (* -1 eps))))
(* -1 (* eps (- (* -1 (/ (+ x (* 2 (PI))) eps)) 1)))
(- (/ (sin (- (+ x (* 2 (PI))) (* -1 eps))) (cos (- (+ x (* 2 (PI))) (* -1 eps)))) (/ (sin x) (cos x)))
(/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))
(sin (neg (* -1 eps)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(* -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))))
(* -1 (* eps (- (* -1 (/ (PI) eps)) 1)))
(cos (- x (* -1 eps)))
(* (cos x) (cos (- x (* -1 eps))))

Calls

6 calls:

Time	Variable		Point	Expression
30.0ms	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)) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (tan (+ (+ (PI) x) (+ (PI) eps))) (+ (+ (PI) x) (+ (PI) eps)) (- (tan (+ (+ (PI) x) (+ (PI) eps))) (tan x)) (+ (PI) x) (- (+ eps x) x) (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (sin (- (+ eps x) x)) (+ eps x) (+ (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1))) (- (+ (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1))) (tan x)) (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x) (- (tan (+ x eps)) (tan x)) (* (- (* (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) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (+ (PI) eps) (cos (+ eps x)) (* (cos (+ eps x)) (cos x)) (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1)))
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)) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (tan (+ (+ (PI) x) (+ (PI) eps))) (+ (+ (PI) x) (+ (PI) eps)) (- (tan (+ (+ (PI) x) (+ (PI) eps))) (tan x)) (+ (PI) x) (- (+ eps x) x) (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (sin (- (+ eps x) x)) (+ eps x) (+ (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1))) (- (+ (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1))) (tan x)) (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x) (- (tan (+ x eps)) (tan x)) (* (- (* (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) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (+ (PI) eps) (cos (+ eps x)) (* (cos (+ eps x)) (cos x)) (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1)))
19.0ms	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)) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (tan (+ (+ (PI) x) (+ (PI) eps))) (+ (+ (PI) x) (+ (PI) eps)) (- (tan (+ (+ (PI) x) (+ (PI) eps))) (tan x)) (+ (PI) x) (- (+ eps x) x) (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (sin (- (+ eps x) x)) (+ eps x) (+ (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1))) (- (+ (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1))) (tan x)) (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x) (- (tan (+ x eps)) (tan x)) (* (- (* (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) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (+ (PI) eps) (cos (+ eps x)) (* (cos (+ eps x)) (cos x)) (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1)))
15.0ms	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)) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (tan (+ (+ (PI) x) (+ (PI) eps))) (+ (+ (PI) x) (+ (PI) eps)) (- (tan (+ (+ (PI) x) (+ (PI) eps))) (tan x)) (+ (PI) x) (- (+ eps x) x) (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (sin (- (+ eps x) x)) (+ eps x) (+ (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1))) (- (+ (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1))) (tan x)) (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x) (- (tan (+ x eps)) (tan x)) (* (- (* (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) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (+ (PI) eps) (cos (+ eps x)) (* (cos (+ eps x)) (cos x)) (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1)))
11.0ms	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)) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (tan (+ (+ (PI) x) (+ (PI) eps))) (+ (+ (PI) x) (+ (PI) eps)) (- (tan (+ (+ (PI) x) (+ (PI) eps))) (tan x)) (+ (PI) x) (- (+ eps x) x) (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (sin (- (+ eps x) x)) (+ eps x) (+ (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1))) (- (+ (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1))) (tan x)) (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x) (- (tan (+ x eps)) (tan x)) (* (- (* (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) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (+ (PI) eps) (cos (+ eps x)) (* (cos (+ eps x)) (cos x)) (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1)))

simplify225.0ms (1.6%)

Memory

-4.0MiB live, 338.5MiB allocated; 55ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	843	5437
1	2647	5089
0	8801	4759

Stop Event

1×	iter limit
1×	node limit

Counts

175 → 173

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 (PI)) (cos (PI)))
(+ (* x (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(+ (* x (- (+ 1 (/ (* x (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))))) (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI))))))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(- (/ (sin eps) (cos eps)) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (+ (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* x (- (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(/ (sin eps) (cos eps))
(+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
eps
(+ eps x)
(/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI)))))
(+ (* x (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))
(+ (* x (- (+ 1 (/ (* x (* (sin (+ eps (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2)))))) (cos (+ eps (* 2 (PI)))))) (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ eps (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (pow (cos (+ eps (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ eps (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (cos (+ eps (* 2 (PI))))))))) (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))
(+ eps (* 2 (PI)))
(+ eps (+ x (* 2 (PI))))
(+ (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))) (/ (* x (pow (sin (+ eps (* 2 (PI)))) 2)) (pow (cos (+ eps (* 2 (PI)))) 2)))
(+ (* x (- (/ (* x (* (sin (+ eps (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2)))))) (cos (+ eps (* 2 (PI))))) (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin (+ eps (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (pow (cos (+ eps (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ eps (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (cos (+ eps (* 2 (PI)))))))) (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))
(PI)
(+ x (PI))
(+ (/ (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 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(sin eps)
(+ (* x (- (+ 1 (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (* x (- (* x (- 1/3 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
x
(* x (+ 1 (/ (* x (sin eps)) (cos eps))))
(* x (+ 1 (* x (- (* x (- 1/3 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1 (/ (sin eps) (cos eps)))))))
(* x (+ 1 (* x (- (* x (- (+ 1/3 (* -1 (* x (+ (* -1 (/ (* (sin eps) (- 1/3 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (* -1/3 (/ (sin eps) (cos eps))))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1 (/ (sin eps) (cos eps)))))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(+ (* x (- (/ (* 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)))
(* 1/3 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))))))
(* 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))
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))
(+ (* x (- (/ (* x (pow (sin eps) 3)) (pow (cos eps) 3)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* -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 (+ x (PI))) (cos (+ x (PI))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(/ (sin (+ eps x)) (cos (+ eps x)))
(* x (+ 1 (/ eps x)))
(/ (sin (+ eps (+ x (* 2 (PI))))) (cos (+ eps (+ x (* 2 (PI))))))
(* x (+ 1 (+ (* 2 (/ (PI) x)) (/ eps x))))
(- (/ (sin (+ eps (+ x (* 2 (PI))))) (cos (+ eps (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))
(* x (+ 1 (/ (PI) x)))
(/ (sin eps) (* (cos x) (cos (+ eps x))))
(+ (/ (sin eps) (* (cos eps) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))))
(- (+ (/ (sin eps) (* (cos eps) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (/ (sin x) (cos x)))
(/ (sin x) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(/ (sin x) (cos x))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(* 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)))))))
(* -1/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))))
(cos (+ eps x))
(* (cos x) (cos (+ eps x)))
(/ (sin eps) (* (cos eps) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x))))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x)))))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(/ (sin (- (+ eps (* 2 (PI))) (* -1 x))) (cos (- (+ eps (* 2 (PI))) (* -1 x))))
(* -1 (* x (- (* -1 (/ (+ eps (* 2 (PI))) x)) 1)))
(- (/ (sin (- (+ eps (* 2 (PI))) (* -1 x))) (cos (- (+ eps (* 2 (PI))) (* -1 x)))) (/ (sin x) (cos x)))
(* -1 (* x (- (* -1 (/ (PI) x)) 1)))
(/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(cos (- eps (* -1 x)))
(* (cos x) (cos (- eps (* -1 x))))
(- (/ (sin x) (cos x)) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))
(+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))) (cos (+ x (* 2 (PI)))))) (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (pow (cos (+ x (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ x (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (cos (+ x (* 2 (PI))))))))) (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(+ x (* 2 (PI)))
(- (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))) (/ (sin x) (cos x)))
(- (+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))
(- (+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))) (cos (+ x (* 2 (PI)))))) (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))
(- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (pow (cos (+ x (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ x (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (cos (+ x (* 2 (PI))))))))) (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))
(/ eps (pow (cos x) 2))
(* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3))))
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))
(* 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))))
(+ (* eps (- (+ 1 (* -1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* -1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* -1/3 (/ (sin x) (cos x))) (+ (* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ (/ (sin x) (cos x)) (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(+ (* eps (- (/ (* eps (pow (sin x) 3)) (pow (cos x) 3)) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(* 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)))))
(* -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 (PI))
(cos x)
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(pow (cos x) 2)
(+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2))
(* eps (+ 1 (/ (* eps (sin x)) (cos x))))
(* eps (+ 1 (* eps (- (* eps (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (sin x) (cos x)))))))
(* eps (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* -1/3 (/ (sin x) (cos x))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (sin x) (cos x)))))))
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (+ (* 2 (/ (PI) eps)) (/ x 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)))))
(* eps (+ 1 (/ (PI) eps)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(/ (sin (- (+ x (* 2 (PI))) (* -1 eps))) (cos (- (+ x (* 2 (PI))) (* -1 eps))))
(* -1 (* eps (- (* -1 (/ (+ x (* 2 (PI))) eps)) 1)))
(- (/ (sin (- (+ x (* 2 (PI))) (* -1 eps))) (cos (- (+ x (* 2 (PI))) (* -1 eps)))) (/ (sin x) (cos x)))
(/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))
(sin (neg (* -1 eps)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(* -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))))
(* -1 (* eps (- (* -1 (/ (PI) eps)) 1)))
(cos (- x (* -1 eps)))
(* (cos x) (cos (- x (* -1 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 (.f64 #s(literal -331/180 binary64) (*.f64 x x)) #s(literal 14/9 binary64)) 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 (.f64 #s(literal -3071/1890 binary64) (.f64 x x)) #s(literal 331/180 binary64)) 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 (.f64 #s(literal -601/360 binary64) (*.f64 x x)) #s(literal 23/18 binary64)) 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 (.f64 #s(literal -23183/15120 binary64) (.f64 x x)) #s(literal 601/360 binary64)) 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 (.f64 #s(literal -13/18 binary64) (.f64 x x)) #s(literal 5/6 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (- (* -10/27 (pow x 2)) 13/18)) 5/6))
(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -10/27 binary64) (.f64 x x)) #s(literal 13/18 binary64)) 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 (.f64 #s(literal -373/1890 binary64) (.f64 x x)) #s(literal 10/27 binary64)) 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 (.f64 #s(literal -17/9 binary64) (.f64 x x)) #s(literal 4/3 binary64)) 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 (.f64 #s(literal -248/135 binary64) (.f64 x x)) #s(literal 17/9 binary64)) x) x) #s(literal 4/3 binary64)) (.f64 x x)) #s(literal 1/3 binary64))
(/ (sin (PI)) (cos (PI)))
#s(literal 0 binary64)
(+ (* x (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
x
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eps
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(PI)
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(sin eps)
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(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
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x
(* x (+ 1 (/ (* x (sin eps)) (cos eps))))
(fma.f64 (*.f64 x x) (/.f64 (sin.f64 eps) (cos.f64 eps)) x)
(* x (+ 1 (* x (- (* x (- 1/3 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1 (/ (sin eps) (cos eps)))))))
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(* x (+ 1 (* x (- (* x (- (+ 1/3 (* -1 (* x (+ (* -1 (/ (* (sin eps) (- 1/3 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (* -1/3 (/ (sin eps) (cos eps))))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1 (/ (sin eps) (cos eps)))))))
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(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
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(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
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(* 1/3 eps)
(*.f64 #s(literal 1/3 binary64) eps)
(+ (* 1/3 eps) (* 2/3 (* (pow eps 2) x)))
(fma.f64 (.f64 (.f64 eps eps) #s(literal 2/3 binary64)) x (*.f64 #s(literal 1/3 binary64) eps))
(+ (* 1/3 eps) (* x (+ (* 2/3 (pow eps 2)) (* 4/3 (* eps x)))))
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(+ (* 1/3 eps) (* x (+ (* 2/3 (pow eps 2)) (* x (+ (* -1 (* eps (* x (- (* -14/9 eps) (* 1/3 eps))))) (* 4/3 eps))))))
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(* x (- (* -5/18 (pow x 2)) 1/3))
(.f64 (-.f64 (.f64 #s(literal -5/18 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)
(* x (- (* (pow x 2) (- (* -61/360 (pow x 2)) 5/18)) 1/3))
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(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -277/3024 (pow x 2)) 61/360)) 5/18)) 1/3))
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(cos eps)
(cos.f64 eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
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(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
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(+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))
(fma.f64 (neg.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps))) x (cos.f64 eps))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal 2/3 binary64) (neg.f64 (cos.f64 eps))) x (neg.f64 (sin.f64 eps))) x (cos.f64 eps))
(+ (* x (- (/ (* x (pow (sin eps) 3)) (pow (cos eps) 3)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
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(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
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(+ (* -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)))
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(+ (* 1/6 (pow (sin x) 2)) (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/6 binary64)))
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(/ (sin (+ x (PI))) (cos (+ x (PI))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
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(/ (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 (+ eps (+ x (* 2 (PI))))) (cos (+ eps (+ x (* 2 (PI))))))
(/.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) (+.f64 eps x))) (cos.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) (+.f64 eps x))))
(* x (+ 1 (+ (* 2 (/ (PI) x)) (/ eps x))))
(fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) eps) x) x x)
(- (/ (sin (+ eps (+ x (* 2 (PI))))) (cos (+ eps (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) (+.f64 eps x))) (cos.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) (+.f64 eps x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(* x (+ 1 (/ (PI) x)))
(fma.f64 (/.f64 (PI.f64) x) x x)
(/ (sin eps) (* (cos x) (cos (+ eps x))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(+ (/ (sin eps) (* (cos eps) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 (neg.f64 (sin.f64 eps)) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (cos.f64 eps))) #s(literal 1 binary64)))
(- (+ (/ (sin eps) (* (cos eps) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 (neg.f64 (sin.f64 eps)) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (cos.f64 eps))) #s(literal 1 binary64))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/ (sin x) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 (neg.f64 (sin.f64 eps)) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (cos.f64 eps))) #s(literal 1 binary64)))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 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)))
(* 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)))))))
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(* -1/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))))
(*.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 -1/3 binary64))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(* (cos x) (cos (+ eps x)))
(*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(/ (sin eps) (* (cos eps) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (neg.f64 (sin.f64 eps)) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (cos.f64 eps))) #s(literal 1 binary64)))
(/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x)))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (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)))
(/ (sin (- (+ eps (* 2 (PI))) (* -1 x))) (cos (- (+ eps (* 2 (PI))) (* -1 x))))
(/.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) (+.f64 eps x))) (cos.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) (+.f64 eps x))))
(* -1 (* x (- (* -1 (/ (+ eps (* 2 (PI))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) eps) (neg.f64 x)) #s(literal 1 binary64)))
(- (/ (sin (- (+ eps (* 2 (PI))) (* -1 x))) (cos (- (+ eps (* 2 (PI))) (* -1 x)))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) (+.f64 eps x))) (cos.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) (+.f64 eps x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(* -1 (* x (- (* -1 (/ (PI) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (PI.f64)) x) #s(literal 1 binary64)))
(/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))
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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 (+ 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)))))
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(pow (cos x) 2)
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(+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2))
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(* eps (+ 1 (/ (* eps (sin x)) (cos x))))
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(* eps (+ 1 (* eps (- (* eps (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (sin x) (cos x)))))))
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(* eps (+ 1 (/ x eps)))
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(* eps (+ 1 (+ (* 2 (/ (PI) eps)) (/ x eps))))
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(* eps (+ 1 (/ (PI) eps)))
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(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64)))
(/ (sin (- (+ x (* 2 (PI))) (* -1 eps))) (cos (- (+ x (* 2 (PI))) (* -1 eps))))
(/.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) (+.f64 eps x))) (cos.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) (+.f64 eps x))))
(* -1 (* eps (- (* -1 (/ (+ x (* 2 (PI))) eps)) 1)))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) x) (neg.f64 eps)) #s(literal 1 binary64)))
(- (/ (sin (- (+ x (* 2 (PI))) (* -1 eps))) (cos (- (+ x (* 2 (PI))) (* -1 eps)))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) (+.f64 eps x))) (cos.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) (+.f64 eps x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(sin (neg (* -1 eps)))
(sin.f64 eps)
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(* -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 (.f64 (neg.f64 eps) 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))))))
(* (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 (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) (fma.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 (+.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/6 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)))) (.f64 eps eps))
(* -1 (* eps (- (* -1 (/ (PI) eps)) 1)))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 (PI.f64)) eps) #s(literal 1 binary64)))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 eps x))
(* (cos x) (cos (- x (* -1 eps))))
(*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))

rewrite287.0ms (2%)

Memory

12.7MiB live, 285.4MiB allocated; 43ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	594
0	134	541
1	629	436
2	5802	436
0	8190	421

Stop Event

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

Counts

27 → 640

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

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

eval223.0ms (1.5%)

Memory: -20.6MiB live, 225.2MiB allocated; 31ms collecting garbage
Compiler: Compiled 41 400 to 3 693 computations (91.1% saved)

prune26.0ms (0.2%)

Memory

7.5MiB live, 52.9MiB allocated; 3ms collecting garbage

Pruning

26 alts after pruning (23 fresh and 3 done)

	Pruned	Kept	Total
New	573	18	591
Fresh	9	5	14
Picked	3	2	5
Done	0	1	1
Total	585	26	611

Accuracy

100.0%

Counts

611 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.9%	(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)))
▶	99.7%	(/.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (cos.f64 (+.f64 eps x))) (cos.f64 x))
	99.7%	(/.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (cos.f64 x)) (cos.f64 (+.f64 eps x)))
	61.6%	(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))) (cos.f64 (+.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))) #s(literal 2 binary64)))
	99.3%	(/.f64 #s(approx (sin (- (+ eps x) x)) (fma.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 eps eps) #s(literal 1/120 binary64)) eps) eps) #s(literal 1/6 binary64)) eps)) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	98.9%	(/.f64 #s(approx (sin (- (+ eps x) x)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
▶	99.8%	(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	62.0%	(-.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))
✓	62.0%	(-.f64 (+.f64 (/.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)))) (tan.f64 x))
	5.6%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (+.f64 (PI.f64) eps))) (tan.f64 x))
▶	3.7%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
	3.6%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
	3.4%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))) #s(approx (tan x) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x)))
	5.7%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
▶	8.5%	(-.f64 (tan.f64 (+.f64 (+.f64 eps x) (PI.f64))) (tan.f64 (+.f64 (PI.f64) x)))
	8.4%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
✓	8.5%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
✓	61.6%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	59.1%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x)))
	58.4%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) x))
▶	7.6%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
	99.7%	(*.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (+.f64 (cos.f64 (+.f64 #s(literal 0 binary64) eps)) (cos.f64 (+.f64 (+.f64 eps x) x)))) #s(literal 2 binary64))
	97.8%	#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
	98.6%	#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (*.f64 (fma.f64 eps (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps))
	98.6%	#s(approx (- (+ (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1))) (tan x)) (*.f64 (fma.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) eps))
	95.6%	#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) (/.f64 (sin.f64 eps) (cos.f64 eps)))

Compiler

Compiled 1 026 to 669 computations (34.8% saved)

simplify154.0ms (1.1%)

Memory

37.6MiB live, 128.2MiB allocated; 8ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 (+.f64 #s(literal 0 binary64) eps))
cost-diff	0	(/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (cos.f64 (+.f64 eps x)))
cost-diff	0	(/.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (cos.f64 (+.f64 eps x))) (cos.f64 x))
cost-diff	2	(+.f64 #s(literal 0 binary64) eps)
cost-diff	0	(+.f64 (+.f64 eps x) (PI.f64))
cost-diff	0	(-.f64 (tan.f64 (+.f64 (+.f64 eps x) (PI.f64))) (tan.f64 (+.f64 (PI.f64) x)))
cost-diff	2	(tan.f64 (+.f64 (PI.f64) x))
cost-diff	2	(tan.f64 (+.f64 (+.f64 eps x) (PI.f64)))
cost-diff	0	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
cost-diff	1	(+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))
cost-diff	2	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
cost-diff	3	(tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps)))
cost-diff	0	#s(approx (tan (+ (PI) x)) #s(literal 0 binary64))
cost-diff	0	(+.f64 x eps)
cost-diff	0	(tan.f64 (+.f64 x eps))
cost-diff	0	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
cost-diff	0	(*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
cost-diff	0	(sin.f64 eps)
cost-diff	0	#s(approx (sin (- (+ eps x) x)) (sin.f64 eps))
cost-diff	0	(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	281
0	76	257
1	134	245
2	299	245
3	959	242
4	4093	242
5	7492	242
0	8627	238

Stop Event

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

Calls

Call 1

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

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

localize664.0ms (4.6%)

Memory

-48.1MiB live, 470.4MiB allocated; 69ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(cos.f64 x)
accuracy	0.015625	(/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (cos.f64 (+.f64 eps x)))
accuracy	0.0234375	(/.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (cos.f64 (+.f64 eps x))) (cos.f64 x))
accuracy	0.14759329416710693	(cos.f64 (+.f64 eps x))
accuracy	0.02734375	(+.f64 (+.f64 eps x) (PI.f64))
accuracy	24.33991611280469	(-.f64 (tan.f64 (+.f64 (+.f64 eps x) (PI.f64))) (tan.f64 (+.f64 (PI.f64) x)))
accuracy	57.20827323970762	(tan.f64 (+.f64 (PI.f64) x))
accuracy	57.208492990751324	(tan.f64 (+.f64 (+.f64 eps x) (PI.f64)))
accuracy	0.02734375	(+.f64 (PI.f64) eps)
accuracy	2.07488928333956	#s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
accuracy	24.33991611280469	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
accuracy	57.27330798006404	(tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps)))
accuracy	0.0	(+.f64 x eps)
accuracy	0.20399289225600511	(tan.f64 (+.f64 x eps))
accuracy	24.33991611280469	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
accuracy	60.76030970352785	#s(approx (tan (+ (PI) x)) #s(literal 0 binary64))
accuracy	0.0	#s(approx (sin (- (+ eps x) x)) (sin.f64 eps))
accuracy	0.01953125	(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
accuracy	0.02734375	(*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
accuracy	0.14759329416710693	(cos.f64 (+.f64 eps x))

Samples

342.0ms	186×	1	valid
136.0ms	67×	2	valid
16.0ms	1×	3	valid
1.0ms	2×	0	valid

Compiler

Compiled 244 to 43 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 453.0ms

ival-tan: 263.0ms (58% of total)

adjust: 71.0ms (15.7% of total)

ival-add: 57.0ms (12.6% of total)

const: 18.0ms (4% of total)

ival-mult: 14.0ms (3.1% of total)

ival-sub: 10.0ms (2.2% of total)

ival-div: 7.0ms (1.5% of total)

ival-sin: 6.0ms (1.3% of total)

ival-cos: 5.0ms (1.1% of total)

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

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

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

exact: 0.0ms (0% of total)

series33.0ms (0.2%)

Memory

8.9MiB live, 51.5MiB allocated; 7ms collecting garbage

Counts

24 → 151

Calls

Call 1

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

Outputs
(/ (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 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(sin eps)
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))
(- (/ (sin eps) (cos eps)) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (+ (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* x (- (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
eps
(+ eps x)
(/ (sin (PI)) (cos (PI)))
(+ (* x (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(+ (* x (- (+ 1 (/ (* x (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))))) (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI))))))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI)))))
(+ (* x (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))
(+ (* x (- (+ 1 (/ (* x (* (sin (+ eps (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2)))))) (cos (+ eps (* 2 (PI)))))) (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ eps (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (pow (cos (+ eps (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ eps (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (cos (+ eps (* 2 (PI))))))))) (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))
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))))))))
(+ eps (* 2 (PI)))
(+ eps (+ x (* 2 (PI))))
(+ (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))) (/ (* x (pow (sin (+ eps (* 2 (PI)))) 2)) (pow (cos (+ eps (* 2 (PI)))) 2)))
(+ (* x (- (/ (* x (* (sin (+ eps (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2)))))) (cos (+ eps (* 2 (PI))))) (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin (+ eps (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (pow (cos (+ eps (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ eps (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (cos (+ eps (* 2 (PI)))))))) (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))
(/ (sin (+ eps (PI))) (cos (+ eps (PI))))
(+ (* x (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))
(+ (* x (- (+ 1 (/ (* x (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))) (cos (+ eps (PI))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ eps (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (pow (cos (+ eps (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (* 1/6 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))))) (* -1 (/ (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (cos (+ eps (PI)))))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))
(- (/ (sin (+ eps (PI))) (cos (+ eps (PI)))) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI))))) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* -1 (/ (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (cos (+ eps (PI)))))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI))))) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (+ (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* x (- (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (+ (* -1 (/ (* (pow (sin (+ eps (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (pow (cos (+ eps (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (* 1/6 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))))) (* -1 (/ (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (cos (+ eps (PI)))))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI))))) (/ (sin (PI)) (cos (PI))))
(+ eps (PI))
(+ eps (+ x (PI)))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* -1/2 (/ (sin eps) (cos eps)))))) (* -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))) (+ (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (sin eps) (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* -1/2 (/ (sin eps) (cos eps))))) (cos eps)))))) (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* -1/2 (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(/ (sin eps) (* (cos x) (cos (+ eps x))))
(* (cos x) (cos (+ eps x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(/ (sin (+ eps x)) (cos (+ eps x)))
(* x (+ 1 (/ eps x)))
(/ (sin (+ x (PI))) (cos (+ x (PI))))
(/ (sin (+ eps (+ x (* 2 (PI))))) (cos (+ eps (+ x (* 2 (PI))))))
(* 17/315 (pow x 7))
(* (pow x 7) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* x (+ 1 (+ (* 2 (/ (PI) x)) (/ eps x))))
(- (/ (sin (+ eps (+ x (* 2 (PI))))) (cos (+ eps (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))
(/ (sin (+ eps (+ x (PI)))) (cos (+ eps (+ x (PI)))))
(- (/ (sin (+ eps (+ x (PI)))) (cos (+ eps (+ x (PI))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(* x (+ 1 (+ (/ eps x) (/ (PI) x))))
(/ (sin eps) (cos (+ eps x)))
(cos (+ eps x))
(/ (sin x) (cos x))
(cos x)
(/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))
(* (cos x) (cos (- eps (* -1 x))))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x)))))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x))))
(/ (sin (- (+ eps (* 2 (PI))) (* -1 x))) (cos (- (+ eps (* 2 (PI))) (* -1 x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/15 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 17/315)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))
(* -1 (* x (- (* -1 (/ (+ eps (* 2 (PI))) x)) 1)))
(- (/ (sin (- (+ eps (* 2 (PI))) (* -1 x))) (cos (- (+ eps (* 2 (PI))) (* -1 x)))) (/ (sin x) (cos x)))
(/ (sin (- (+ eps (PI)) (* -1 x))) (cos (- (+ eps (PI)) (* -1 x))))
(- (/ (sin (- (+ eps (PI)) (* -1 x))) (cos (- (+ eps (PI)) (* -1 x)))) (/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x)))))
(* -1 (* x (- (* -1 (/ (+ eps (PI)) x)) 1)))
(/ (sin eps) (cos (- eps (* -1 x))))
(cos (- eps (* -1 x)))
(/ eps (pow (cos x) 2))
(* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3))))
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))
(* 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))))
(pow (cos x) 2)
(+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2))
(- (/ (sin x) (cos x)) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))
(+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))) (cos (+ x (* 2 (PI)))))) (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (pow (cos (+ x (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ x (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (cos (+ x (* 2 (PI))))))))) (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(+ x (* 2 (PI)))
(- (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))) (/ (sin x) (cos x)))
(- (+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))
(- (+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))) (cos (+ x (* 2 (PI)))))) (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))
(- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (pow (cos (+ x (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ x (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (cos (+ x (* 2 (PI))))))))) (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))
(+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))) (cos (+ x (PI))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (pow (cos (+ x (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (* 1/6 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))))) (* -1 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI)))))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(* eps (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))
(* eps (- (+ 1 (/ (* eps (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))) (cos (+ x (PI))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))
(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (pow (cos (+ x (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (* 1/6 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))))) (* -1 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI)))))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI))))) (+ (* 1/6 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI))))) (/ (* (sin (+ x (PI))) (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (pow (cos (+ x (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (* 1/6 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))))) (cos (+ x (PI)))))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (pow (cos (+ x (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (* 1/6 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))))) (* -1 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI)))))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))
(+ x (PI))
(/ eps (cos x))
(* eps (+ (/ 1 (cos x)) (/ (* eps (sin x)) (pow (cos x) 2))))
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (cos x))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))) (* 1/6 (/ 1 (cos x)))))) (* -1 (/ (sin x) (pow (cos x) 2))))) (/ 1 (cos x))))
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (cos x))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))) (* 1/6 (/ 1 (cos x)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 2))) (* 1/6 (/ (sin x) (pow (cos x) 2))))))) (* 1/2 (/ 1 (cos x)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))) (* 1/6 (/ 1 (cos x)))))) (* -1 (/ (sin x) (pow (cos x) 2))))) (/ 1 (cos x))))
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(PI)
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (+ (* 2 (/ (PI) eps)) (/ x eps))))
(* eps (+ 1 (+ (/ x eps) (/ (PI) eps))))
(* eps (+ 1 (/ (PI) eps)))
(/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))
(sin (neg (* -1 eps)))
(* (cos x) (cos (- x (* -1 eps))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(/ (sin (- (+ x (* 2 (PI))) (* -1 eps))) (cos (- (+ x (* 2 (PI))) (* -1 eps))))
(* -1 (* eps (- (* -1 (/ (+ x (* 2 (PI))) eps)) 1)))
(- (/ (sin (- (+ x (* 2 (PI))) (* -1 eps))) (cos (- (+ x (* 2 (PI))) (* -1 eps)))) (/ (sin x) (cos x)))
(/ (sin (- (+ x (PI)) (* -1 eps))) (cos (- (+ x (PI)) (* -1 eps))))
(- (/ (sin (- (+ x (PI)) (* -1 eps))) (cos (- (+ x (PI)) (* -1 eps)))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(* -1 (* eps (- (* -1 (/ (+ x (PI)) eps)) 1)))
(/ (sin (neg (* -1 eps))) (cos (- x (* -1 eps))))
(cos (- x (* -1 eps)))
(* -1 (* eps (- (* -1 (/ (PI) eps)) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	x	@	inf	((/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (sin (- (+ eps x) x)) (sin eps) (* (cos (+ eps x)) (cos x)) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (tan (+ (PI) x)) (tan (+ (+ (PI) x) (+ (PI) eps))) (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (+ (+ (PI) x) (+ (PI) eps)) (- (tan (+ (+ (PI) x) (+ (PI) eps))) (tan x)) (tan (+ (+ eps x) (PI))) (tan (+ (PI) x)) (- (tan (+ (+ eps x) (PI))) (tan (+ (PI) x))) (+ (+ eps x) (PI)) (+ 0 eps) (/ (/ (sin (+ 0 eps)) (cos (+ eps x))) (cos x)) (/ (sin (+ 0 eps)) (cos (+ eps x))) (sin (+ 0 eps)) (cos (+ eps x)) (tan x) (+ (PI) eps) (cos x))
6.0ms	x	@	0	((/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (sin (- (+ eps x) x)) (sin eps) (* (cos (+ eps x)) (cos x)) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (tan (+ (PI) x)) (tan (+ (+ (PI) x) (+ (PI) eps))) (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (+ (+ (PI) x) (+ (PI) eps)) (- (tan (+ (+ (PI) x) (+ (PI) eps))) (tan x)) (tan (+ (+ eps x) (PI))) (tan (+ (PI) x)) (- (tan (+ (+ eps x) (PI))) (tan (+ (PI) x))) (+ (+ eps x) (PI)) (+ 0 eps) (/ (/ (sin (+ 0 eps)) (cos (+ eps x))) (cos x)) (/ (sin (+ 0 eps)) (cos (+ eps x))) (sin (+ 0 eps)) (cos (+ eps x)) (tan x) (+ (PI) eps) (cos x))
4.0ms	eps	@	-inf	((/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (sin (- (+ eps x) x)) (sin eps) (* (cos (+ eps x)) (cos x)) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (tan (+ (PI) x)) (tan (+ (+ (PI) x) (+ (PI) eps))) (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (+ (+ (PI) x) (+ (PI) eps)) (- (tan (+ (+ (PI) x) (+ (PI) eps))) (tan x)) (tan (+ (+ eps x) (PI))) (tan (+ (PI) x)) (- (tan (+ (+ eps x) (PI))) (tan (+ (PI) x))) (+ (+ eps x) (PI)) (+ 0 eps) (/ (/ (sin (+ 0 eps)) (cos (+ eps x))) (cos x)) (/ (sin (+ 0 eps)) (cos (+ eps x))) (sin (+ 0 eps)) (cos (+ eps x)) (tan x) (+ (PI) eps) (cos x))
4.0ms	eps	@	inf	((/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (sin (- (+ eps x) x)) (sin eps) (* (cos (+ eps x)) (cos x)) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (tan (+ (PI) x)) (tan (+ (+ (PI) x) (+ (PI) eps))) (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (+ (+ (PI) x) (+ (PI) eps)) (- (tan (+ (+ (PI) x) (+ (PI) eps))) (tan x)) (tan (+ (+ eps x) (PI))) (tan (+ (PI) x)) (- (tan (+ (+ eps x) (PI))) (tan (+ (PI) x))) (+ (+ eps x) (PI)) (+ 0 eps) (/ (/ (sin (+ 0 eps)) (cos (+ eps x))) (cos x)) (/ (sin (+ 0 eps)) (cos (+ eps x))) (sin (+ 0 eps)) (cos (+ eps x)) (tan x) (+ (PI) eps) (cos x))
4.0ms	eps	@	0	((/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (sin (- (+ eps x) x)) (sin eps) (* (cos (+ eps x)) (cos x)) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (tan (+ (PI) x)) (tan (+ (+ (PI) x) (+ (PI) eps))) (* (+ (* (+ (* (+ (* 17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (+ (+ (PI) x) (+ (PI) eps)) (- (tan (+ (+ (PI) x) (+ (PI) eps))) (tan x)) (tan (+ (+ eps x) (PI))) (tan (+ (PI) x)) (- (tan (+ (+ eps x) (PI))) (tan (+ (PI) x))) (+ (+ eps x) (PI)) (+ 0 eps) (/ (/ (sin (+ 0 eps)) (cos (+ eps x))) (cos x)) (/ (sin (+ 0 eps)) (cos (+ eps x))) (sin (+ 0 eps)) (cos (+ eps x)) (tan x) (+ (PI) eps) (cos x))

simplify134.0ms (0.9%)

Memory

-28.6MiB live, 161.3MiB allocated; 17ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	722	4398
1	2369	4066
0	8677	3773

Stop Event

1×	iter limit
1×	node limit

Counts

151 → 149

Calls

Call 1

Inputs
(/ (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 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(sin eps)
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))
(- (/ (sin eps) (cos eps)) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (+ (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* x (- (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
eps
(+ eps x)
(/ (sin (PI)) (cos (PI)))
(+ (* x (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(+ (* x (- (+ 1 (/ (* x (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))))) (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI))))))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI)))))
(+ (* x (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))
(+ (* x (- (+ 1 (/ (* x (* (sin (+ eps (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2)))))) (cos (+ eps (* 2 (PI)))))) (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ eps (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (pow (cos (+ eps (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ eps (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (cos (+ eps (* 2 (PI))))))))) (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))
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))))))))
(+ eps (* 2 (PI)))
(+ eps (+ x (* 2 (PI))))
(+ (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))) (/ (* x (pow (sin (+ eps (* 2 (PI)))) 2)) (pow (cos (+ eps (* 2 (PI)))) 2)))
(+ (* x (- (/ (* x (* (sin (+ eps (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2)))))) (cos (+ eps (* 2 (PI))))) (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin (+ eps (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (pow (cos (+ eps (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ eps (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (cos (+ eps (* 2 (PI)))))))) (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))
(/ (sin (+ eps (PI))) (cos (+ eps (PI))))
(+ (* x (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))
(+ (* x (- (+ 1 (/ (* x (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))) (cos (+ eps (PI))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ eps (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (pow (cos (+ eps (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (* 1/6 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))))) (* -1 (/ (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (cos (+ eps (PI)))))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))
(- (/ (sin (+ eps (PI))) (cos (+ eps (PI)))) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI))))) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* -1 (/ (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (cos (+ eps (PI)))))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI))))) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (+ (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* x (- (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (+ (* -1 (/ (* (pow (sin (+ eps (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (pow (cos (+ eps (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (* 1/6 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))))) (* -1 (/ (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (cos (+ eps (PI)))))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI))))) (/ (sin (PI)) (cos (PI))))
(+ eps (PI))
(+ eps (+ x (PI)))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* -1/2 (/ (sin eps) (cos eps)))))) (* -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))) (+ (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (sin eps) (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* -1/2 (/ (sin eps) (cos eps))))) (cos eps)))))) (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* -1/2 (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(/ (sin eps) (* (cos x) (cos (+ eps x))))
(* (cos x) (cos (+ eps x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(/ (sin (+ eps x)) (cos (+ eps x)))
(* x (+ 1 (/ eps x)))
(/ (sin (+ x (PI))) (cos (+ x (PI))))
(/ (sin (+ eps (+ x (* 2 (PI))))) (cos (+ eps (+ x (* 2 (PI))))))
(* 17/315 (pow x 7))
(* (pow x 7) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* x (+ 1 (+ (* 2 (/ (PI) x)) (/ eps x))))
(- (/ (sin (+ eps (+ x (* 2 (PI))))) (cos (+ eps (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))
(/ (sin (+ eps (+ x (PI)))) (cos (+ eps (+ x (PI)))))
(- (/ (sin (+ eps (+ x (PI)))) (cos (+ eps (+ x (PI))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(* x (+ 1 (+ (/ eps x) (/ (PI) x))))
(/ (sin eps) (cos (+ eps x)))
(cos (+ eps x))
(/ (sin x) (cos x))
(cos x)
(/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))
(* (cos x) (cos (- eps (* -1 x))))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x)))))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x))))
(/ (sin (- (+ eps (* 2 (PI))) (* -1 x))) (cos (- (+ eps (* 2 (PI))) (* -1 x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/15 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 17/315)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))
(* -1 (* x (- (* -1 (/ (+ eps (* 2 (PI))) x)) 1)))
(- (/ (sin (- (+ eps (* 2 (PI))) (* -1 x))) (cos (- (+ eps (* 2 (PI))) (* -1 x)))) (/ (sin x) (cos x)))
(/ (sin (- (+ eps (PI)) (* -1 x))) (cos (- (+ eps (PI)) (* -1 x))))
(- (/ (sin (- (+ eps (PI)) (* -1 x))) (cos (- (+ eps (PI)) (* -1 x)))) (/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x)))))
(* -1 (* x (- (* -1 (/ (+ eps (PI)) x)) 1)))
(/ (sin eps) (cos (- eps (* -1 x))))
(cos (- eps (* -1 x)))
(/ eps (pow (cos x) 2))
(* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3))))
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))
(* 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))))
(pow (cos x) 2)
(+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2))
(- (/ (sin x) (cos x)) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))
(+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))) (cos (+ x (* 2 (PI)))))) (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (pow (cos (+ x (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ x (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (cos (+ x (* 2 (PI))))))))) (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(+ x (* 2 (PI)))
(- (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))) (/ (sin x) (cos x)))
(- (+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))
(- (+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))) (cos (+ x (* 2 (PI)))))) (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))
(- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (pow (cos (+ x (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ x (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (cos (+ x (* 2 (PI))))))))) (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))
(+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))) (cos (+ x (PI))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (pow (cos (+ x (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (* 1/6 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))))) (* -1 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI)))))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(* eps (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))
(* eps (- (+ 1 (/ (* eps (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))) (cos (+ x (PI))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))
(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (pow (cos (+ x (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (* 1/6 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))))) (* -1 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI)))))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI))))) (+ (* 1/6 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI))))) (/ (* (sin (+ x (PI))) (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (pow (cos (+ x (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (* 1/6 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))))) (cos (+ x (PI)))))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (pow (cos (+ x (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (* 1/6 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))))) (* -1 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI)))))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))
(+ x (PI))
(/ eps (cos x))
(* eps (+ (/ 1 (cos x)) (/ (* eps (sin x)) (pow (cos x) 2))))
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (cos x))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))) (* 1/6 (/ 1 (cos x)))))) (* -1 (/ (sin x) (pow (cos x) 2))))) (/ 1 (cos x))))
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (cos x))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))) (* 1/6 (/ 1 (cos x)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 2))) (* 1/6 (/ (sin x) (pow (cos x) 2))))))) (* 1/2 (/ 1 (cos x)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))) (* 1/6 (/ 1 (cos x)))))) (* -1 (/ (sin x) (pow (cos x) 2))))) (/ 1 (cos x))))
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(PI)
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (+ (* 2 (/ (PI) eps)) (/ x eps))))
(* eps (+ 1 (+ (/ x eps) (/ (PI) eps))))
(* eps (+ 1 (/ (PI) eps)))
(/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))
(sin (neg (* -1 eps)))
(* (cos x) (cos (- x (* -1 eps))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(/ (sin (- (+ x (* 2 (PI))) (* -1 eps))) (cos (- (+ x (* 2 (PI))) (* -1 eps))))
(* -1 (* eps (- (* -1 (/ (+ x (* 2 (PI))) eps)) 1)))
(- (/ (sin (- (+ x (* 2 (PI))) (* -1 eps))) (cos (- (+ x (* 2 (PI))) (* -1 eps)))) (/ (sin x) (cos x)))
(/ (sin (- (+ x (PI)) (* -1 eps))) (cos (- (+ x (PI)) (* -1 eps))))
(- (/ (sin (- (+ x (PI)) (* -1 eps))) (cos (- (+ x (PI)) (* -1 eps)))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(* -1 (* eps (- (* -1 (/ (+ x (PI)) eps)) 1)))
(/ (sin (neg (* -1 eps))) (cos (- x (* -1 eps))))
(cos (- x (* -1 eps)))
(* -1 (* eps (- (* -1 (/ (PI) 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)))
(fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 x (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 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (*.f64 (fma.f64 (sin.f64 eps) (fma.f64 (sin.f64 eps) (/.f64 #s(literal 2/3 binary64) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) (cos.f64 eps))) (/.f64 (neg.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))) (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)))
(sin eps)
(sin.f64 eps)
(cos eps)
(cos.f64 eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))
(fma.f64 (neg.f64 x) (fma.f64 (cos.f64 eps) x (sin.f64 eps)) (cos.f64 eps))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal 2/3 binary64) (neg.f64 (cos.f64 eps))) x (neg.f64 (sin.f64 eps))) x (cos.f64 eps))
(- (/ (sin eps) (cos eps)) (/ (sin (PI)) (cos (PI))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(- (+ (* x (- (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 x (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (+ (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* x (- (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1/6 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))) x (.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps))) x (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #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 (fma.f64 (/.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 eps)) (sin.f64 eps) (.f64 (neg.f64 x) (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (+.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1/6 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) #s(literal 1/6 binary64))))) x (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
eps
(+ eps x)
(+.f64 x eps)
(/ (sin (PI)) (cos (PI)))
#s(literal 0 binary64)
(+ (* x (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
x
(+ (* x (- (+ 1 (/ (* x (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
x
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))))) (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI))))))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x)
(/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI)))))
(/.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) eps)) (cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) eps)))
(+ (* x (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))
(fma.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) eps)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) eps)) #s(literal 2 binary64))) #s(literal 1 binary64)) x (/.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) eps)) (cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) eps))))
(+ (* x (- (+ 1 (/ (* x (* (sin (+ eps (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2)))))) (cos (+ eps (* 2 (PI)))))) (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))
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(- (+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))) (cos (+ x (* 2 (PI)))))) (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x)) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x))) (/.f64 eps (cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x))) (+.f64 (/.f64 (pow.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x)) #s(literal 2 binary64))) #s(literal 1 binary64))) eps (-.f64 (/.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x)) (cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (pow (cos (+ x (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ x (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (cos (+ x (* 2 (PI))))))))) (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 eps) (+.f64 (fma.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x)) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x)) #s(literal 2 binary64))) (neg.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x)) #s(literal 2 binary64))))) (fma.f64 (/.f64 (pow.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x)) #s(literal 2 binary64))) #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x)) (cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x))))) eps (+.f64 (/.f64 (pow.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x)) #s(literal 2 binary64))) #s(literal 1 binary64))) eps (-.f64 (/.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x)) (cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(fma.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 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)))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (neg.f64 (sin.f64 x))) (/.f64 eps (neg.f64 (cos.f64 x))) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) eps (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 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)))))
(fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (sin.f64 x) (.f64 (neg.f64 eps) (fma.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (.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 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) eps (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(* eps (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))
(*.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps)
(* 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)))))
(.f64 (fma.f64 (.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (neg.f64 (sin.f64 x))) (/.f64 eps (neg.f64 (cos.f64 x))) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) eps)
(* 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)))))
(.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (sin.f64 x) (.f64 (neg.f64 eps) (fma.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (*.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 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) eps)
(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI))))) (+ (* 1/6 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI))))) (/ (* (sin (+ x (PI))) (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (pow (cos (+ x (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (* 1/6 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))))) (cos (+ x (PI)))))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (pow (cos (+ x (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (* 1/6 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))))) (* -1 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI)))))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))
(.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 eps) (fma.f64 (fma.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (.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 (sin.f64 x)) (neg.f64 (cos.f64 x))) (.f64 (.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))) #s(literal -1/3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (.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 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))))) eps (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) eps)
(+ x (PI))
(+.f64 (PI.f64) x)
(/ eps (cos x))
(/.f64 eps (cos.f64 x))
(* eps (+ (/ 1 (cos x)) (/ (* eps (sin x)) (pow (cos x) 2))))
(fma.f64 (*.f64 (sin.f64 x) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps (/.f64 eps (cos.f64 x)))
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (cos x))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))) (* 1/6 (/ 1 (cos x)))))) (* -1 (/ (sin x) (pow (cos x) 2))))) (/ 1 (cos x))))
(fma.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (cos.f64 x)))) eps (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps) eps (/.f64 eps (cos.f64 x)))
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (cos x))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))) (* 1/6 (/ 1 (cos x)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 2))) (* 1/6 (/ (sin x) (pow (cos x) 2))))))) (* 1/2 (/ 1 (cos x)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))) (* 1/6 (/ 1 (cos x)))))) (* -1 (/ (sin x) (pow (cos x) 2))))) (/ 1 (cos x))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 eps) (fma.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (cos.f64 x)))) (sin.f64 x)) (neg.f64 (cos.f64 x)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (cos.f64 x))))) eps (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (.f64 eps eps) (/.f64 eps (cos.f64 x)))
(+ (cos x) (* -1 (* eps (sin x))))
(fma.f64 (neg.f64 eps) (sin.f64 x) (cos.f64 x))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(fma.f64 (-.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps (cos.f64 x))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps (cos.f64 x))
(PI)
(PI.f64)
(* eps (+ 1 (/ x eps)))
(fma.f64 (/.f64 x eps) eps eps)
(* eps (+ 1 (+ (* 2 (/ (PI) eps)) (/ x eps))))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x) eps) eps eps)
(* eps (+ 1 (+ (/ x eps) (/ (PI) eps))))
(fma.f64 (/.f64 (+.f64 (PI.f64) x) eps) eps eps)
(* eps (+ 1 (/ (PI) eps)))
(fma.f64 (/.f64 (PI.f64) eps) eps eps)
(/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(sin (neg (* -1 eps)))
(sin.f64 eps)
(* (cos x) (cos (- x (* -1 eps))))
(*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64)))
(/ (sin (- (+ x (* 2 (PI))) (* -1 eps))) (cos (- (+ x (* 2 (PI))) (* -1 eps))))
(/.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 x eps))) (cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 x eps))))
(* -1 (* eps (- (* -1 (/ (+ x (* 2 (PI))) eps)) 1)))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x) (neg.f64 eps)) #s(literal 1 binary64)))
(- (/ (sin (- (+ x (* 2 (PI))) (* -1 eps))) (cos (- (+ x (* 2 (PI))) (* -1 eps)))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 x eps))) (cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 x eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/ (sin (- (+ x (PI)) (* -1 eps))) (cos (- (+ x (PI)) (* -1 eps))))
(/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (cos.f64 (+.f64 x eps))))
(- (/ (sin (- (+ x (PI)) (* -1 eps))) (cos (- (+ x (PI)) (* -1 eps)))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(-.f64 (/.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (cos.f64 (+.f64 x eps)))) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(* -1 (* eps (- (* -1 (/ (+ x (PI)) eps)) 1)))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (+.f64 (PI.f64) x) (neg.f64 eps)) #s(literal 1 binary64)))
(/ (sin (neg (* -1 eps))) (cos (- x (* -1 eps))))
(/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps)))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 x eps))
(* -1 (* eps (- (* -1 (/ (PI) eps)) 1)))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 (PI.f64)) eps) #s(literal 1 binary64)))

rewrite182.0ms (1.3%)

Memory

34.1MiB live, 177.4MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	45	206
0	76	179
1	377	167
2	3455	167
0	8071	167

Stop Event

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

Counts

24 → 506

Calls

Call 1

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

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

eval113.0ms (0.8%)

Memory: -35.2MiB live, 108.8MiB allocated; 19ms collecting garbage
Compiler: Compiled 18 159 to 2 423 computations (86.7% saved)

prune40.0ms (0.3%)

Memory

28.7MiB live, 74.1MiB allocated; 3ms collecting garbage

Pruning

41 alts after pruning (35 fresh and 6 done)

	Pruned	Kept	Total
New	522	25	547
Fresh	8	10	18
Picked	1	4	5
Done	1	2	3
Total	532	41	573

Accuracy

100.0%

Counts

573 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(/.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))) (cos.f64 x))
	99.7%	(/.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 x eps)))) (cos.f64 x))
	99.7%	(/.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps))) (cos.f64 x))
▶	99.7%	(/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 x eps)))
	97.8%	(/.f64 #s(approx (/ (sin (+ 0 eps)) (cos (+ eps x))) (/.f64 eps (cos.f64 x))) (cos.f64 x))
	99.3%	(/.f64 #s(approx (sin (- (+ eps x) x)) (fma.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 eps eps) #s(literal 1/120 binary64)) eps) eps) #s(literal 1/6 binary64)) eps)) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	98.9%	(/.f64 #s(approx (sin (- (+ eps x) x)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	99.7%	(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 x eps)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 x eps)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))) #s(literal 2 binary64)))
	99.7%	(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 (+.f64 x eps)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (neg.f64 (+.f64 x eps)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)))
▶	100.0%	(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))) (cos.f64 x)))
	99.8%	(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (sin.f64 (+.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))) x)) (cos.f64 x)))
	99.7%	(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (sin.f64 (+.f64 (neg.f64 (+.f64 x eps)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 x)))
✓	99.8%	(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	96.8%	(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))))
	96.3%	(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
	98.7%	(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 #s(approx (cos (+ eps x)) (fma.f64 (neg.f64 eps) (sin.f64 x) (cos.f64 x))) (cos.f64 x)))
	95.6%	(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) #s(approx (* (cos (+ eps x)) (cos x)) (cos.f64 eps)))
	62.0%	(-.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))
	1.1%	(-.f64 (tan.f64 (/.f64 (-.f64 (.f64 (+.f64 (+.f64 (PI.f64) eps) x) (+.f64 (+.f64 (PI.f64) eps) x)) (.f64 (PI.f64) (PI.f64))) (-.f64 (+.f64 (+.f64 (PI.f64) eps) x) (PI.f64)))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
	2.6%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (+.f64 (PI.f64) eps)) (PI.f64))) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
	2.6%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (+.f64 (+.f64 (PI.f64) eps) (PI.f64)))) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
	2.6%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) eps)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
	5.6%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (+.f64 (PI.f64) eps))) (tan.f64 x))
	2.6%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64)) x)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
✓	3.7%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
▶	3.6%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
	3.4%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))) #s(approx (tan x) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x)))
	2.6%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) #s(approx (+ (PI) eps) (PI.f64)))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
	5.7%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
	2.6%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) eps) x)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
✓	8.5%	(-.f64 (tan.f64 (+.f64 (+.f64 eps x) (PI.f64))) (tan.f64 (+.f64 (PI.f64) x)))
▶	8.4%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
✓	8.5%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
✓	61.6%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	59.1%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x)))
▶	58.4%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) x))
✓	7.6%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
	59.5%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
	2.8%	(-.f64 (tan.f64 #s(approx (+ (+ (PI) x) (+ (PI) eps)) (fma.f64 #s(literal 2 binary64) (PI.f64) eps))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
	99.7%	(*.f64 (/.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) (cos.f64 (+.f64 (+.f64 x eps) x)))) #s(literal 2 binary64))
	97.8%	#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))

Compiler

Compiled 1 611 to 1 100 computations (31.7% saved)

simplify133.0ms (0.9%)

Memory

8.6MiB live, 97.1MiB allocated; 11ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 x)
cost-diff	0	(sin.f64 eps)
cost-diff	0	(/.f64 (sin.f64 eps) (cos.f64 x))
cost-diff	0	(/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 x eps)))
cost-diff	0	(tan.f64 (+.f64 x eps))
cost-diff	0	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
cost-diff	1	(+.f64 (+.f64 (PI.f64) x) (PI.f64))
cost-diff	3	(tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))
cost-diff	0	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
cost-diff	1	(+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))
cost-diff	2	(.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
cost-diff	3	(tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps)))
cost-diff	0	#s(approx (tan (+ (PI) x)) x)
cost-diff	0	(+.f64 x eps)
cost-diff	0	(tan.f64 (+.f64 x eps))
cost-diff	0	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) x))
cost-diff	0	(.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))) (cos.f64 x))
cost-diff	0	(sin.f64 eps)
cost-diff	0	#s(approx (sin (- (+ eps x) x)) (sin.f64 eps))
cost-diff	0	(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))) (cos.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	267
0	74	251
1	140	243
2	305	239
3	834	236
4	2653	236
5	6239	236
0	8021	231

Stop Event

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

Calls

Call 1

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

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

localize596.0ms (4.1%)

Memory

-15.4MiB live, 475.3MiB allocated; 49ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(cos.f64 x)
accuracy	0.01953125	(/.f64 (sin.f64 eps) (cos.f64 x))
accuracy	0.02734375	(/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 x eps)))
accuracy	0.14759329416710693	(cos.f64 (+.f64 x eps))
accuracy	0.03125	(+.f64 (+.f64 (PI.f64) x) (PI.f64))
accuracy	0.20399289225600511	(tan.f64 (+.f64 x eps))
accuracy	24.33991611280469	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
accuracy	57.25959811966965	(tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))
accuracy	0.03515625	(.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
accuracy	2.2223620776939206	#s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
accuracy	24.33991611280469	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
accuracy	57.27330798006404	(tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps)))
accuracy	0.0	(+.f64 x eps)
accuracy	0.20399289225600511	(tan.f64 (+.f64 x eps))
accuracy	2.9757762493710795	#s(approx (tan (+ (PI) x)) x)
accuracy	24.33991611280469	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) x))
accuracy	0.01171875	(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)))
accuracy	0.01953125	(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))) (cos.f64 x)))
accuracy	0.02734375	(.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))) (cos.f64 x))
accuracy	0.02734375	(*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))

Samples

333.0ms	186×	1	valid
158.0ms	67×	2	valid
35.0ms	1×	3	valid
1.0ms	2×	0	valid

Compiler

Compiled 239 to 43 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 470.0ms

ival-tan: 317.0ms (67.4% of total)

adjust: 62.0ms (13.2% of total)

ival-mult: 23.0ms (4.9% of total)

ival-add: 19.0ms (4% of total)

ival-sub: 10.0ms (2.1% of total)

ival-cos: 10.0ms (2.1% of total)

const: 10.0ms (2.1% of total)

ival-div: 9.0ms (1.9% of total)

ival-sin: 6.0ms (1.3% of total)

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

ival-neg: 1.0ms (0.2% of total)

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

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

exact: 0.0ms (0% of total)

series78.0ms (0.5%)

Memory

1.8MiB live, 46.4MiB allocated; 5ms collecting garbage

Counts

22 → 150

Calls

Call 1

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

Outputs
(/ (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 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(sin eps)
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))
(- (/ (sin eps) (cos eps)) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (+ (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* x (- (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
eps
(+ eps x)
(/ (sin (PI)) (cos (PI)))
(+ (* x (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(+ (* x (- (+ 1 (/ (* x (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))))) (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI))))))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI)))))
(+ (* x (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))
(+ (* x (- (+ 1 (/ (* x (* (sin (+ eps (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2)))))) (cos (+ eps (* 2 (PI)))))) (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ eps (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (pow (cos (+ eps (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ eps (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (cos (+ eps (* 2 (PI))))))))) (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(+ eps (* 2 (PI)))
(+ eps (+ x (* 2 (PI))))
(+ (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))) (/ (* x (pow (sin (+ eps (* 2 (PI)))) 2)) (pow (cos (+ eps (* 2 (PI)))) 2)))
(+ (* x (- (/ (* x (* (sin (+ eps (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2)))))) (cos (+ eps (* 2 (PI))))) (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin (+ eps (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (pow (cos (+ eps (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ eps (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (cos (+ eps (* 2 (PI)))))))) (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))
(/ (sin (* 2 (PI))) (cos (* 2 (PI))))
(+ (* x (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))
(+ (* x (- (+ 1 (/ (* x (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))) (cos (* 2 (PI))))) (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (* 2 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (pow (cos (* 2 (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (* 1/6 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))))) (* -1 (/ (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (cos (* 2 (PI)))))))) (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))
(* 2 (PI))
(+ x (* 2 (PI)))
(- (/ (sin eps) (cos eps)) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))
(- (+ (* x (- (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))) (* x (- (* -1 (/ (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (cos (* 2 (PI))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))) (* x (- (+ (* -1 (/ (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (cos (* 2 (PI))))) (* x (- (+ (* -1 (/ (* (pow (sin (* 2 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (pow (cos (* 2 (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (* 1/6 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))
(+ (sin eps) (* 1/2 (* (pow x 2) (sin eps))))
(+ (sin eps) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 (sin eps)) (* 1/24 (sin eps))))) (* -1/2 (sin eps)))))
(+ (sin eps) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/720 (sin eps)) (+ (* 1/48 (sin eps)) (* 1/2 (+ (* -1/4 (sin eps)) (* 1/24 (sin eps)))))))) (+ (* -1/4 (sin eps)) (* 1/24 (sin eps))))) (* -1/2 (sin eps)))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* -1 (* x (sin eps)))
(* x (+ (* -1 (sin eps)) (* 1/6 (* (pow x 2) (sin eps)))))
(* x (+ (* -1 (sin eps)) (* (pow x 2) (+ (* -1/120 (* (pow x 2) (sin eps))) (* 1/6 (sin eps))))))
(* x (+ (* -1 (sin eps)) (* (pow x 2) (+ (* 1/6 (sin eps)) (* (pow x 2) (+ (* -1/120 (sin eps)) (* 1/5040 (* (pow x 2) (sin eps)))))))))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1/2 (* x (cos eps))))))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(/ (sin eps) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(/ (sin (+ eps x)) (cos (+ eps x)))
(* x (+ 1 (/ eps x)))
(/ (sin (+ x (PI))) (cos (+ x (PI))))
(/ (sin (+ eps (+ x (* 2 (PI))))) (cos (+ eps (+ x (* 2 (PI))))))
(* 2/15 (pow x 5))
(* (pow x 5) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 2/15 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* x (+ 1 (+ (* 2 (/ (PI) x)) (/ eps x))))
(- (/ (sin (+ eps (+ x (* 2 (PI))))) (cos (+ eps (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))
(/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))
(* x (+ 1 (* 2 (/ (PI) x))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(/ (sin eps) (* (cos x) (cos (+ eps x))))
(/ (sin eps) (cos x))
(cos x)
(* -1 (* (sin eps) (sin x)))
(+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))
(/ (sin x) (cos x))
(cos (+ eps x))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x)))))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x))))
(/ (sin (- (+ eps (* 2 (PI))) (* -1 x))) (cos (- (+ eps (* 2 (PI))) (* -1 x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 2/15)))
(* -1 (* x (- (* -1 (/ (+ eps (* 2 (PI))) x)) 1)))
(- (/ (sin (- (+ eps (* 2 (PI))) (* -1 x))) (cos (- (+ eps (* 2 (PI))) (* -1 x)))) (/ (sin x) (cos x)))
(/ (sin (- (* 2 (PI)) (* -1 x))) (cos (- (* 2 (PI)) (* -1 x))))
(* -1 (* x (- (* -2 (/ (PI) x)) 1)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin (- (* 2 (PI)) (* -1 x))) (cos (- (* 2 (PI)) (* -1 x)))))
(/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))
(cos (- eps (* -1 x)))
(/ eps (pow (cos x) 2))
(* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3))))
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))
(* 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))))
(pow (cos x) 2)
(+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2))
(- (/ (sin x) (cos x)) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))) (cos (+ x (* 2 (PI)))))) (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (pow (cos (+ x (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ x (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (cos (+ x (* 2 (PI))))))))) (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(- (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))) (/ (sin x) (cos x)))
(- (+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))
(- (+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))) (cos (+ x (* 2 (PI)))))) (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))
(- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (pow (cos (+ x (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ x (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (cos (+ x (* 2 (PI))))))))) (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))
(- (/ (sin x) (cos x)) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(- (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(- (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(/ eps (cos x))
(* eps (+ (* -1/6 (/ (pow eps 2) (cos x))) (/ 1 (cos x))))
(* eps (+ (* (pow eps 2) (- (* 1/120 (/ (pow eps 2) (cos x))) (* 1/6 (/ 1 (cos x))))) (/ 1 (cos x))))
(* eps (+ (* (pow eps 2) (- (* (pow eps 2) (+ (* -1/5040 (/ (pow eps 2) (cos x))) (* 1/120 (/ 1 (cos x))))) (* 1/6 (/ 1 (cos x))))) (/ 1 (cos x))))
(* -1 (* eps (sin x)))
(* eps (+ (* -1 (sin x)) (* 1/6 (* (pow eps 2) (sin x)))))
(* eps (+ (* -1 (sin x)) (* (pow eps 2) (+ (* -1/120 (* (pow eps 2) (sin x))) (* 1/6 (sin x))))))
(* eps (+ (* -1 (sin x)) (* (pow eps 2) (+ (* 1/6 (sin x)) (* (pow eps 2) (+ (* -1/120 (sin x)) (* 1/5040 (* (pow eps 2) (sin x)))))))))
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))))
(+ (cos x) (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (+ (* 2 (/ (PI) eps)) (/ x eps))))
(/ (sin (neg (* -1 eps))) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))
(sin (neg (* -1 eps)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(/ (sin (- (+ x (* 2 (PI))) (* -1 eps))) (cos (- (+ x (* 2 (PI))) (* -1 eps))))
(* -1 (* eps (- (* -1 (/ (+ x (* 2 (PI))) eps)) 1)))
(- (/ (sin (- (+ x (* 2 (PI))) (* -1 eps))) (cos (- (+ x (* 2 (PI))) (* -1 eps)))) (/ (sin x) (cos x)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(/ (sin eps) (* (cos x) (cos (- x (* -1 eps)))))
(cos (- x (* -1 eps)))

Calls

6 calls:

Time	Variable		Point	Expression
47.0ms	eps	@	0	((/ (sin (- (+ eps x) x)) (* (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) (cos x))) (sin (- (+ eps x) x)) (sin eps) (* (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) (cos x)) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (tan (+ (PI) x)) (tan (+ (+ (PI) x) (+ (PI) eps))) (* (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) x) (+ (+ (PI) x) (+ (PI) eps)) (- (tan (+ (+ (PI) x) (+ (PI) eps))) (tan x)) (tan (+ (+ (PI) x) (PI))) (+ (+ (PI) x) (PI)) (- (tan (+ x eps)) (tan (+ (+ (PI) x) (PI)))) (/ (/ (sin eps) (cos x)) (cos (+ x eps))) (/ (sin eps) (cos x)) (cos x) (* (neg (sin eps)) (sin x)) (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) (tan x) (cos (+ x eps)))
6.0ms	eps	@	inf	((/ (sin (- (+ eps x) x)) (* (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) (cos x))) (sin (- (+ eps x) x)) (sin eps) (* (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) (cos x)) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (tan (+ (PI) x)) (tan (+ (+ (PI) x) (+ (PI) eps))) (* (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) x) (+ (+ (PI) x) (+ (PI) eps)) (- (tan (+ (+ (PI) x) (+ (PI) eps))) (tan x)) (tan (+ (+ (PI) x) (PI))) (+ (+ (PI) x) (PI)) (- (tan (+ x eps)) (tan (+ (+ (PI) x) (PI)))) (/ (/ (sin eps) (cos x)) (cos (+ x eps))) (/ (sin eps) (cos x)) (cos x) (* (neg (sin eps)) (sin x)) (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) (tan x) (cos (+ x eps)))
6.0ms	eps	@	-inf	((/ (sin (- (+ eps x) x)) (* (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) (cos x))) (sin (- (+ eps x) x)) (sin eps) (* (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) (cos x)) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (tan (+ (PI) x)) (tan (+ (+ (PI) x) (+ (PI) eps))) (* (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) x) (+ (+ (PI) x) (+ (PI) eps)) (- (tan (+ (+ (PI) x) (+ (PI) eps))) (tan x)) (tan (+ (+ (PI) x) (PI))) (+ (+ (PI) x) (PI)) (- (tan (+ x eps)) (tan (+ (+ (PI) x) (PI)))) (/ (/ (sin eps) (cos x)) (cos (+ x eps))) (/ (sin eps) (cos x)) (cos x) (* (neg (sin eps)) (sin x)) (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) (tan x) (cos (+ x eps)))
6.0ms	x	@	-inf	((/ (sin (- (+ eps x) x)) (* (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) (cos x))) (sin (- (+ eps x) x)) (sin eps) (* (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) (cos x)) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (tan (+ (PI) x)) (tan (+ (+ (PI) x) (+ (PI) eps))) (* (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) x) (+ (+ (PI) x) (+ (PI) eps)) (- (tan (+ (+ (PI) x) (+ (PI) eps))) (tan x)) (tan (+ (+ (PI) x) (PI))) (+ (+ (PI) x) (PI)) (- (tan (+ x eps)) (tan (+ (+ (PI) x) (PI)))) (/ (/ (sin eps) (cos x)) (cos (+ x eps))) (/ (sin eps) (cos x)) (cos x) (* (neg (sin eps)) (sin x)) (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) (tan x) (cos (+ x eps)))
5.0ms	x	@	inf	((/ (sin (- (+ eps x) x)) (* (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) (cos x))) (sin (- (+ eps x) x)) (sin eps) (* (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) (cos x)) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (tan (+ (PI) x)) (tan (+ (+ (PI) x) (+ (PI) eps))) (* (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) x) (+ (+ (PI) x) (+ (PI) eps)) (- (tan (+ (+ (PI) x) (+ (PI) eps))) (tan x)) (tan (+ (+ (PI) x) (PI))) (+ (+ (PI) x) (PI)) (- (tan (+ x eps)) (tan (+ (+ (PI) x) (PI)))) (/ (/ (sin eps) (cos x)) (cos (+ x eps))) (/ (sin eps) (cos x)) (cos x) (* (neg (sin eps)) (sin x)) (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) (tan x) (cos (+ x eps)))

simplify151.0ms (1%)

Memory

-8.9MiB live, 87.8MiB allocated; 9ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	688	3855
1	2293	3676
0	8593	3364

Stop Event

1×	iter limit
1×	node limit

Counts

150 → 148

Calls

Call 1

Inputs
(/ (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 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(sin eps)
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))
(- (/ (sin eps) (cos eps)) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (+ (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* x (- (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
eps
(+ eps x)
(/ (sin (PI)) (cos (PI)))
(+ (* x (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(+ (* x (- (+ 1 (/ (* x (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))))) (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI))))))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI)))))
(+ (* x (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))
(+ (* x (- (+ 1 (/ (* x (* (sin (+ eps (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2)))))) (cos (+ eps (* 2 (PI)))))) (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ eps (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (pow (cos (+ eps (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ eps (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (cos (+ eps (* 2 (PI))))))))) (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(+ eps (* 2 (PI)))
(+ eps (+ x (* 2 (PI))))
(+ (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))) (/ (* x (pow (sin (+ eps (* 2 (PI)))) 2)) (pow (cos (+ eps (* 2 (PI)))) 2)))
(+ (* x (- (/ (* x (* (sin (+ eps (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2)))))) (cos (+ eps (* 2 (PI))))) (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin (+ eps (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (pow (cos (+ eps (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ eps (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (cos (+ eps (* 2 (PI)))))))) (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))
(/ (sin (* 2 (PI))) (cos (* 2 (PI))))
(+ (* x (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))
(+ (* x (- (+ 1 (/ (* x (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))) (cos (* 2 (PI))))) (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (* 2 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (pow (cos (* 2 (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (* 1/6 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))))) (* -1 (/ (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (cos (* 2 (PI)))))))) (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))
(* 2 (PI))
(+ x (* 2 (PI)))
(- (/ (sin eps) (cos eps)) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))
(- (+ (* x (- (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))) (* x (- (* -1 (/ (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (cos (* 2 (PI))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))) (* x (- (+ (* -1 (/ (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (cos (* 2 (PI))))) (* x (- (+ (* -1 (/ (* (pow (sin (* 2 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (pow (cos (* 2 (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (* 1/6 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))
(+ (sin eps) (* 1/2 (* (pow x 2) (sin eps))))
(+ (sin eps) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 (sin eps)) (* 1/24 (sin eps))))) (* -1/2 (sin eps)))))
(+ (sin eps) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/720 (sin eps)) (+ (* 1/48 (sin eps)) (* 1/2 (+ (* -1/4 (sin eps)) (* 1/24 (sin eps)))))))) (+ (* -1/4 (sin eps)) (* 1/24 (sin eps))))) (* -1/2 (sin eps)))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* -1 (* x (sin eps)))
(* x (+ (* -1 (sin eps)) (* 1/6 (* (pow x 2) (sin eps)))))
(* x (+ (* -1 (sin eps)) (* (pow x 2) (+ (* -1/120 (* (pow x 2) (sin eps))) (* 1/6 (sin eps))))))
(* x (+ (* -1 (sin eps)) (* (pow x 2) (+ (* 1/6 (sin eps)) (* (pow x 2) (+ (* -1/120 (sin eps)) (* 1/5040 (* (pow x 2) (sin eps)))))))))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1/2 (* x (cos eps))))))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(/ (sin eps) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(/ (sin (+ eps x)) (cos (+ eps x)))
(* x (+ 1 (/ eps x)))
(/ (sin (+ x (PI))) (cos (+ x (PI))))
(/ (sin (+ eps (+ x (* 2 (PI))))) (cos (+ eps (+ x (* 2 (PI))))))
(* 2/15 (pow x 5))
(* (pow x 5) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 2/15 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* x (+ 1 (+ (* 2 (/ (PI) x)) (/ eps x))))
(- (/ (sin (+ eps (+ x (* 2 (PI))))) (cos (+ eps (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))
(/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))
(* x (+ 1 (* 2 (/ (PI) x))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(/ (sin eps) (* (cos x) (cos (+ eps x))))
(/ (sin eps) (cos x))
(cos x)
(* -1 (* (sin eps) (sin x)))
(+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))
(/ (sin x) (cos x))
(cos (+ eps x))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x)))))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x))))
(/ (sin (- (+ eps (* 2 (PI))) (* -1 x))) (cos (- (+ eps (* 2 (PI))) (* -1 x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 2/15)))
(* -1 (* x (- (* -1 (/ (+ eps (* 2 (PI))) x)) 1)))
(- (/ (sin (- (+ eps (* 2 (PI))) (* -1 x))) (cos (- (+ eps (* 2 (PI))) (* -1 x)))) (/ (sin x) (cos x)))
(/ (sin (- (* 2 (PI)) (* -1 x))) (cos (- (* 2 (PI)) (* -1 x))))
(* -1 (* x (- (* -2 (/ (PI) x)) 1)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin (- (* 2 (PI)) (* -1 x))) (cos (- (* 2 (PI)) (* -1 x)))))
(/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))
(cos (- eps (* -1 x)))
(/ eps (pow (cos x) 2))
(* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3))))
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))
(* 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))))
(pow (cos x) 2)
(+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2))
(- (/ (sin x) (cos x)) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))) (cos (+ x (* 2 (PI)))))) (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (pow (cos (+ x (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ x (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (cos (+ x (* 2 (PI))))))))) (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(- (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))) (/ (sin x) (cos x)))
(- (+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))
(- (+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))) (cos (+ x (* 2 (PI)))))) (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))
(- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (pow (cos (+ x (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ x (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (cos (+ x (* 2 (PI))))))))) (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))
(- (/ (sin x) (cos x)) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(- (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(- (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(/ eps (cos x))
(* eps (+ (* -1/6 (/ (pow eps 2) (cos x))) (/ 1 (cos x))))
(* eps (+ (* (pow eps 2) (- (* 1/120 (/ (pow eps 2) (cos x))) (* 1/6 (/ 1 (cos x))))) (/ 1 (cos x))))
(* eps (+ (* (pow eps 2) (- (* (pow eps 2) (+ (* -1/5040 (/ (pow eps 2) (cos x))) (* 1/120 (/ 1 (cos x))))) (* 1/6 (/ 1 (cos x))))) (/ 1 (cos x))))
(* -1 (* eps (sin x)))
(* eps (+ (* -1 (sin x)) (* 1/6 (* (pow eps 2) (sin x)))))
(* eps (+ (* -1 (sin x)) (* (pow eps 2) (+ (* -1/120 (* (pow eps 2) (sin x))) (* 1/6 (sin x))))))
(* eps (+ (* -1 (sin x)) (* (pow eps 2) (+ (* 1/6 (sin x)) (* (pow eps 2) (+ (* -1/120 (sin x)) (* 1/5040 (* (pow eps 2) (sin x)))))))))
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))))
(+ (cos x) (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (+ (* 2 (/ (PI) eps)) (/ x eps))))
(/ (sin (neg (* -1 eps))) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))
(sin (neg (* -1 eps)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(/ (sin (- (+ x (* 2 (PI))) (* -1 eps))) (cos (- (+ x (* 2 (PI))) (* -1 eps))))
(* -1 (* eps (- (* -1 (/ (+ x (* 2 (PI))) eps)) 1)))
(- (/ (sin (- (+ x (* 2 (PI))) (* -1 eps))) (cos (- (+ x (* 2 (PI))) (* -1 eps)))) (/ (sin x) (cos x)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(/ (sin eps) (* (cos x) (cos (- x (* -1 eps)))))
(cos (- x (* -1 eps)))

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)))
(fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 x (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 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (*.f64 (fma.f64 (sin.f64 eps) (fma.f64 (sin.f64 eps) (/.f64 #s(literal 2/3 binary64) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) (cos.f64 eps))) (/.f64 (neg.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))) (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)))
(sin eps)
(sin.f64 eps)
(cos eps)
(cos.f64 eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))
(fma.f64 (neg.f64 x) (fma.f64 (cos.f64 eps) x (sin.f64 eps)) (cos.f64 eps))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal 2/3 binary64) (neg.f64 (cos.f64 eps))) x (neg.f64 (sin.f64 eps))) x (cos.f64 eps))
(- (/ (sin eps) (cos eps)) (/ (sin (PI)) (cos (PI))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(- (+ (* x (- (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 x (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (+ (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* x (- (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) x (.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps))) x (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #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 (fma.f64 (/.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 eps)) (sin.f64 eps) (.f64 (neg.f64 x) (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) #s(literal 1/6 binary64))))) x (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
eps
(+ eps x)
(+.f64 x eps)
(/ (sin (PI)) (cos (PI)))
#s(literal 0 binary64)
(+ (* x (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
x
(+ (* x (- (+ 1 (/ (* x (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
x
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))))) (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI))))))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x)
(/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI)))))
(/.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) eps)) (cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) eps)))
(+ (* x (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))
(fma.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) eps)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) eps)) #s(literal 2 binary64))) #s(literal 1 binary64)) x (/.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) eps)) (cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) eps))))
(+ (* x (- (+ 1 (/ (* x (* (sin (+ eps (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2)))))) (cos (+ eps (* 2 (PI)))))) (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))
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(fma.f64 (fma.f64 (fma.f64 (neg.f64 eps) (+.f64 (fma.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x)) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x)) #s(literal 2 binary64))) (neg.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x)) #s(literal 2 binary64))))) (fma.f64 (/.f64 (pow.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x)) #s(literal 2 binary64))) #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x)) (cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x))))) eps (+.f64 (/.f64 (pow.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x)) #s(literal 2 binary64))) #s(literal 1 binary64))) eps (-.f64 (/.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x)) (cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(- (/ (sin x) (cos x)) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x)) (cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x))))
(- (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(fma.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x)) (cos.f64 (fma.f64 #s(literal 2 binary64) (PI.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))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (sin.f64 x) (cos.f64 x))) eps (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) eps (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x)) (cos.f64 (fma.f64 #s(literal 2 binary64) (PI.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))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 x)) (sin.f64 x) (.f64 (neg.f64 eps) (fma.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (.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 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) eps (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x)) (cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x)))))
(/ eps (cos x))
(/.f64 eps (cos.f64 x))
(* eps (+ (* -1/6 (/ (pow eps 2) (cos x))) (/ 1 (cos x))))
(.f64 (/.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) (cos.f64 x)) eps)
(* eps (+ (* (pow eps 2) (- (* 1/120 (/ (pow eps 2) (cos x))) (* 1/6 (/ 1 (cos x))))) (/ 1 (cos x))))
(fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (*.f64 (/.f64 #s(literal 1/120 binary64) (cos.f64 x)) eps) eps (/.f64 #s(literal -1/6 binary64) (cos.f64 x))) (/.f64 eps (cos.f64 x)))
(* eps (+ (* (pow eps 2) (- (* (pow eps 2) (+ (* -1/5040 (/ (pow eps 2) (cos x))) (* 1/120 (/ 1 (cos x))))) (* 1/6 (/ 1 (cos x))))) (/ 1 (cos x))))
(fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (/.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 eps eps) #s(literal 1/120 binary64)) (cos.f64 x)) (.f64 eps eps) (/.f64 #s(literal -1/6 binary64) (cos.f64 x))) (/.f64 eps (cos.f64 x)))
(* -1 (* eps (sin x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(* eps (+ (* -1 (sin x)) (* 1/6 (* (pow eps 2) (sin x)))))
(.f64 (.f64 (sin.f64 x) (fma.f64 (*.f64 #s(literal 1/6 binary64) eps) eps #s(literal -1 binary64))) eps)
(* eps (+ (* -1 (sin x)) (* (pow eps 2) (+ (* -1/120 (* (pow eps 2) (sin x))) (* 1/6 (sin x))))))
(.f64 (fma.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (.f64 eps eps) (neg.f64 (sin.f64 x))) eps)
(* eps (+ (* -1 (sin x)) (* (pow eps 2) (+ (* 1/6 (sin x)) (* (pow eps 2) (+ (* -1/120 (sin x)) (* 1/5040 (* (pow eps 2) (sin x)))))))))
(.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (.f64 eps eps) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) (.f64 eps eps) (neg.f64 (sin.f64 x))) eps)
(+ (cos x) (* -1 (* eps (sin x))))
(fma.f64 (neg.f64 eps) (sin.f64 x) (cos.f64 x))
(+ (cos x) (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps (cos.f64 x))
(+ (cos x) (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps (neg.f64 (sin.f64 x))) eps (cos.f64 x))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(fma.f64 (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps (cos.f64 x))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps (cos.f64 x))
(* eps (+ 1 (/ x eps)))
(fma.f64 (/.f64 x eps) eps eps)
(* eps (+ 1 (+ (* 2 (/ (PI) eps)) (/ x eps))))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x) eps) eps eps)
(/ (sin (neg (* -1 eps))) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))
(/.f64 (sin.f64 eps) (.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x)))
(sin (neg (* -1 eps)))
(sin.f64 eps)
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64)))
(/ (sin (- (+ x (* 2 (PI))) (* -1 eps))) (cos (- (+ x (* 2 (PI))) (* -1 eps))))
(/.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 x eps))) (cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 x eps))))
(* -1 (* eps (- (* -1 (/ (+ x (* 2 (PI))) eps)) 1)))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (PI.f64) (neg.f64 x)) eps) #s(literal 1 binary64)))
(- (/ (sin (- (+ x (* 2 (PI))) (* -1 eps))) (cos (- (+ x (* 2 (PI))) (* -1 eps)))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 x eps))) (cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 x eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x)) (cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x))))
(/ (sin eps) (* (cos x) (cos (- x (* -1 eps)))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 x eps))

rewrite167.0ms (1.2%)

Memory

31.9MiB live, 123.0MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	202
0	74	193
1	355	157
2	3295	157
0	8087	157

Stop Event

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

Counts

22 → 339

Calls

Call 1

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

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

eval132.0ms (0.9%)

Memory: -26.4MiB live, 72.2MiB allocated; 11ms collecting garbage
Compiler: Compiled 16 348 to 2 152 computations (86.8% saved)

prune70.0ms (0.5%)

Memory

-10.6MiB live, 80.8MiB allocated; 5ms collecting garbage

Pruning

50 alts after pruning (40 fresh and 10 done)

	Pruned	Kept	Total
New	503	16	519
Fresh	6	24	30
Picked	1	4	5
Done	0	6	6
Total	510	50	560

Accuracy

100.0%

Counts

560 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(/.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))) (cos.f64 x))
	99.7%	(/.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 x eps)))) (cos.f64 x))
	5.7%	(/.f64 (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) eps))) (cos.f64 x)) (cos.f64 (+.f64 x eps)))
	99.7%	(/.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps))) (cos.f64 x))
	97.8%	(/.f64 #s(approx (/ (sin (+ 0 eps)) (cos (+ eps x))) (/.f64 eps (cos.f64 x))) (cos.f64 x))
	98.6%	(/.f64 #s(approx (/ (sin eps) (cos x)) (/.f64 eps (cos.f64 x))) (cos.f64 (+.f64 x eps)))
	98.9%	(/.f64 #s(approx (/ (sin eps) (cos x)) (.f64 (/.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) (cos.f64 x)) eps)) (cos.f64 (+.f64 x eps)))
	99.3%	(/.f64 #s(approx (sin (- (+ eps x) x)) (fma.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 eps eps) #s(literal 1/120 binary64)) eps) eps) #s(literal 1/6 binary64)) eps)) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	98.9%	(/.f64 #s(approx (sin (- (+ eps x) x)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	99.7%	(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 x eps)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 x eps)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))) #s(literal 2 binary64)))
	99.7%	(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 (+.f64 x eps)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (neg.f64 (+.f64 x eps)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)))
	100.0%	(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (.f64 (fma.f64 (fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))) (cos.f64 x)))
✓	100.0%	(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))) (cos.f64 x)))
	99.9%	(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (.f64 (/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (-.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (.f64 (cos.f64 eps) (cos.f64 x))) (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 2 binary64)))) (cos.f64 x)))
	99.8%	(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x)) (cos.f64 x)))
	99.7%	(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (sin.f64 (+.f64 (neg.f64 (+.f64 x eps)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 x)))
✓	99.8%	(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	96.8%	(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))))
	96.3%	(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
	98.7%	(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (.f64 #s(approx (+ ( (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) (fma.f64 (neg.f64 eps) (sin.f64 x) (cos.f64 x))) (cos.f64 x)))
	95.6%	(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) #s(approx (* (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) (cos x)) (cos.f64 eps)))
	62.0%	(-.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))
	1.1%	(-.f64 (tan.f64 (/.f64 (-.f64 (.f64 (+.f64 (+.f64 (PI.f64) eps) x) (+.f64 (+.f64 (PI.f64) eps) x)) (.f64 (PI.f64) (PI.f64))) (-.f64 (+.f64 (+.f64 (PI.f64) eps) x) (PI.f64)))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
	3.2%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (+.f64 (PI.f64) eps)) (PI.f64))) #s(approx (tan (+ (PI) x)) x))
	2.6%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (+.f64 (PI.f64) eps)) (PI.f64))) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
	2.6%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (+.f64 (+.f64 (PI.f64) eps) (PI.f64)))) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
	3.2%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) eps)) #s(approx (tan (+ (PI) x)) x))
	2.6%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) eps)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
	5.6%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (+.f64 (PI.f64) eps))) (tan.f64 x))
	3.2%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64)) x)) #s(approx (tan (+ (PI) x)) x))
	2.6%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64)) x)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
✓	3.7%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
✓	3.6%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
	3.4%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))) #s(approx (tan x) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x)))
	2.6%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) #s(approx (+ (PI) eps) (PI.f64)))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
	5.7%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
	3.2%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) eps) x)) #s(approx (tan (+ (PI) x)) x))
	2.6%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) eps) x)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
✓	8.5%	(-.f64 (tan.f64 (+.f64 (+.f64 eps x) (PI.f64))) (tan.f64 (+.f64 (PI.f64) x)))
✓	8.4%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
✓	8.5%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
✓	61.6%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	59.1%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (+ (PI) x) (PI))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x)))
	59.3%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
✓	58.4%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) x))
✓	7.6%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
	59.5%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
	2.8%	(-.f64 (tan.f64 #s(approx (+ (+ (PI) x) (+ (PI) eps)) (fma.f64 #s(literal 2 binary64) (PI.f64) eps))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
	99.7%	(*.f64 (/.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) (cos.f64 (+.f64 (+.f64 x eps) x)))) #s(literal 2 binary64))
	97.8%	#s(approx (/ (sin (- (+ eps x) x)) (* (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) (cos x))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))

Compiler

Compiled 3 036 to 1 158 computations (61.9% saved)

regimes89.0ms (0.6%)

Memory

6.3MiB live, 52.5MiB allocated; 2ms collecting garbage

Counts

79 → 1

Calls

Call 1

Inputs
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) eps) x)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) eps) x)) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64)) x)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64)) x)) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) eps)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) eps)) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (+.f64 (PI.f64) eps)) (PI.f64))) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (+.f64 (PI.f64) eps)) (PI.f64))) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (+.f64 (+.f64 (PI.f64) eps) (PI.f64)))) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (+ (PI) x) (PI))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))) #s(approx (tan x) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 #s(approx (+ (+ (PI) x) (+ (PI) eps)) (fma.f64 #s(literal 2 binary64) (PI.f64) eps))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 #s(approx (+ (+ (PI) x) (+ (PI) eps)) (fma.f64 #s(literal 2 binary64) (PI.f64) eps))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) #s(approx (+ (PI) eps) (PI.f64)))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (/.f64 (-.f64 (.f64 (+.f64 (+.f64 (PI.f64) eps) x) (+.f64 (+.f64 (PI.f64) eps) x)) (.f64 (PI.f64) (PI.f64))) (-.f64 (+.f64 (+.f64 (PI.f64) eps) x) (PI.f64)))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.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)))
#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) #s(approx (* (cos (+ eps x)) (cos x)) (cos.f64 eps)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) #s(approx (* (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) (cos x)) (cos.f64 eps)))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
#s(approx (/ (sin (- (+ eps x) x)) (* (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) (cos x))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
(-.f64 (tan.f64 (+.f64 (+.f64 eps x) (PI.f64))) (tan.f64 (+.f64 (PI.f64) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (+.f64 (PI.f64) eps))) (tan.f64 x))
(-.f64 (tan.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps))) (tan.f64 x))
(/.f64 #s(approx (/ (sin (+ 0 eps)) (cos (+ eps x))) (/.f64 eps (cos.f64 x))) (cos.f64 x))
(/.f64 #s(approx (/ (sin eps) (cos x)) (/.f64 eps (cos.f64 x))) (cos.f64 (+.f64 x eps)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(/.f64 #s(approx (sin (- (+ eps x) x)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 #s(approx (/ (sin eps) (cos x)) (.f64 (/.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) (cos.f64 x)) eps)) (cos.f64 (+.f64 x eps)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(/.f64 #s(approx (sin (- (+ eps x) x)) (fma.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 eps eps) #s(literal 1/120 binary64)) eps) eps) #s(literal 1/6 binary64)) eps)) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (tan.f64 x))
(*.f64 (/.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) (cos.f64 (+.f64 (+.f64 x eps) x)))) #s(literal 2 binary64))
(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(/.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (cos.f64 x)) (cos.f64 (+.f64 eps x)))
(/.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(/.f64 (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) eps))) (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(*.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (+.f64 (cos.f64 (+.f64 #s(literal 0 binary64) eps)) (cos.f64 (+.f64 (+.f64 eps x) x)))) #s(literal 2 binary64))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (sin.f64 (+.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))) x)) (cos.f64 x)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x)) (cos.f64 x)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (sin.f64 (+.f64 (neg.f64 (+.f64 x eps)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 x)))
(/.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 x eps)))) (cos.f64 x))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 x eps)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 x eps)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))) #s(literal 2 binary64)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 (+.f64 x eps)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (neg.f64 (+.f64 x eps)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)))
(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))) (cos.f64 (+.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))) #s(literal 2 binary64)))
#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))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 #s(approx (cos (+ eps x)) (fma.f64 (neg.f64 eps) (sin.f64 x) (cos.f64 x))) (cos.f64 x)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (.f64 #s(approx (+ ( (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) (fma.f64 (neg.f64 eps) (sin.f64 x) (cos.f64 x))) (cos.f64 x)))
(-.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))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (*.f64 (fma.f64 eps (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))) (cos.f64 x)))
(/.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))) (cos.f64 x))
(-.f64 (+.f64 (/.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)))) (tan.f64 x))
(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (sin.f64 x))) (*.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
#s(approx (- (+ (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1))) (tan x)) (*.f64 (fma.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x)) eps eps))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (.f64 (fma.f64 (fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))) (cos.f64 x)))
(/.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)))))
(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)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (.f64 (/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (-.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (.f64 (cos.f64 eps) (cos.f64 x))) (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 2 binary64)))) (cos.f64 x)))
#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

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

Calls

3 calls:

50.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
18.0ms	eps
18.0ms	x

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes60.0ms (0.4%)

Memory

19.3MiB live, 69.8MiB allocated; 8ms collecting garbage

Counts

73 → 1

Calls

Call 1

Inputs
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) eps) x)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) eps) x)) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64)) x)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64)) x)) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) eps)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) eps)) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (+.f64 (PI.f64) eps)) (PI.f64))) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (+.f64 (PI.f64) eps)) (PI.f64))) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (+.f64 (+.f64 (PI.f64) eps) (PI.f64)))) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (+ (PI) x) (PI))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))) #s(approx (tan x) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 #s(approx (+ (+ (PI) x) (+ (PI) eps)) (fma.f64 #s(literal 2 binary64) (PI.f64) eps))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 #s(approx (+ (+ (PI) x) (+ (PI) eps)) (fma.f64 #s(literal 2 binary64) (PI.f64) eps))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) #s(approx (+ (PI) eps) (PI.f64)))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (/.f64 (-.f64 (.f64 (+.f64 (+.f64 (PI.f64) eps) x) (+.f64 (+.f64 (PI.f64) eps) x)) (.f64 (PI.f64) (PI.f64))) (-.f64 (+.f64 (+.f64 (PI.f64) eps) x) (PI.f64)))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.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)))
#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) #s(approx (* (cos (+ eps x)) (cos x)) (cos.f64 eps)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) #s(approx (* (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) (cos x)) (cos.f64 eps)))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
#s(approx (/ (sin (- (+ eps x) x)) (* (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) (cos x))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
(-.f64 (tan.f64 (+.f64 (+.f64 eps x) (PI.f64))) (tan.f64 (+.f64 (PI.f64) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (+.f64 (PI.f64) eps))) (tan.f64 x))
(-.f64 (tan.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps))) (tan.f64 x))
(/.f64 #s(approx (/ (sin (+ 0 eps)) (cos (+ eps x))) (/.f64 eps (cos.f64 x))) (cos.f64 x))
(/.f64 #s(approx (/ (sin eps) (cos x)) (/.f64 eps (cos.f64 x))) (cos.f64 (+.f64 x eps)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(/.f64 #s(approx (sin (- (+ eps x) x)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 #s(approx (/ (sin eps) (cos x)) (.f64 (/.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) (cos.f64 x)) eps)) (cos.f64 (+.f64 x eps)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(/.f64 #s(approx (sin (- (+ eps x) x)) (fma.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 eps eps) #s(literal 1/120 binary64)) eps) eps) #s(literal 1/6 binary64)) eps)) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (tan.f64 x))
(*.f64 (/.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) (cos.f64 (+.f64 (+.f64 x eps) x)))) #s(literal 2 binary64))
(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(/.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (cos.f64 x)) (cos.f64 (+.f64 eps x)))
(/.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(/.f64 (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) eps))) (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(*.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (+.f64 (cos.f64 (+.f64 #s(literal 0 binary64) eps)) (cos.f64 (+.f64 (+.f64 eps x) x)))) #s(literal 2 binary64))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (sin.f64 (+.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))) x)) (cos.f64 x)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x)) (cos.f64 x)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (sin.f64 (+.f64 (neg.f64 (+.f64 x eps)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 x)))
(/.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 x eps)))) (cos.f64 x))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 x eps)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 x eps)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))) #s(literal 2 binary64)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 (+.f64 x eps)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (neg.f64 (+.f64 x eps)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)))
(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))) (cos.f64 (+.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))) #s(literal 2 binary64)))
#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))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 #s(approx (cos (+ eps x)) (fma.f64 (neg.f64 eps) (sin.f64 x) (cos.f64 x))) (cos.f64 x)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (.f64 #s(approx (+ ( (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) (fma.f64 (neg.f64 eps) (sin.f64 x) (cos.f64 x))) (cos.f64 x)))
(-.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))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (*.f64 (fma.f64 eps (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))) (cos.f64 x)))
(/.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))) (cos.f64 x))
(-.f64 (+.f64 (/.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)))) (tan.f64 x))
(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (sin.f64 x))) (*.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
#s(approx (- (+ (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1))) (tan x)) (*.f64 (fma.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) 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))

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes55.0ms (0.4%)

Memory

18.0MiB live, 106.1MiB allocated; 7ms collecting garbage

Counts

67 → 1

Calls

Call 1

Inputs
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) eps) x)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) eps) x)) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64)) x)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64)) x)) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) eps)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) eps)) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (+.f64 (PI.f64) eps)) (PI.f64))) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (+.f64 (PI.f64) eps)) (PI.f64))) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (+.f64 (+.f64 (PI.f64) eps) (PI.f64)))) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (+ (PI) x) (PI))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))) #s(approx (tan x) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 #s(approx (+ (+ (PI) x) (+ (PI) eps)) (fma.f64 #s(literal 2 binary64) (PI.f64) eps))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 #s(approx (+ (+ (PI) x) (+ (PI) eps)) (fma.f64 #s(literal 2 binary64) (PI.f64) eps))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) #s(approx (+ (PI) eps) (PI.f64)))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (/.f64 (-.f64 (.f64 (+.f64 (+.f64 (PI.f64) eps) x) (+.f64 (+.f64 (PI.f64) eps) x)) (.f64 (PI.f64) (PI.f64))) (-.f64 (+.f64 (+.f64 (PI.f64) eps) x) (PI.f64)))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.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)))
#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) #s(approx (* (cos (+ eps x)) (cos x)) (cos.f64 eps)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) #s(approx (* (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) (cos x)) (cos.f64 eps)))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
#s(approx (/ (sin (- (+ eps x) x)) (* (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) (cos x))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
(-.f64 (tan.f64 (+.f64 (+.f64 eps x) (PI.f64))) (tan.f64 (+.f64 (PI.f64) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (+.f64 (PI.f64) eps))) (tan.f64 x))
(-.f64 (tan.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps))) (tan.f64 x))
(/.f64 #s(approx (/ (sin (+ 0 eps)) (cos (+ eps x))) (/.f64 eps (cos.f64 x))) (cos.f64 x))
(/.f64 #s(approx (/ (sin eps) (cos x)) (/.f64 eps (cos.f64 x))) (cos.f64 (+.f64 x eps)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(/.f64 #s(approx (sin (- (+ eps x) x)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 #s(approx (/ (sin eps) (cos x)) (.f64 (/.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) (cos.f64 x)) eps)) (cos.f64 (+.f64 x eps)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(/.f64 #s(approx (sin (- (+ eps x) x)) (fma.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 eps eps) #s(literal 1/120 binary64)) eps) eps) #s(literal 1/6 binary64)) eps)) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (tan.f64 x))
(*.f64 (/.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) (cos.f64 (+.f64 (+.f64 x eps) x)))) #s(literal 2 binary64))
(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(/.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (cos.f64 x)) (cos.f64 (+.f64 eps x)))
(/.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(/.f64 (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) eps))) (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(*.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (+.f64 (cos.f64 (+.f64 #s(literal 0 binary64) eps)) (cos.f64 (+.f64 (+.f64 eps x) x)))) #s(literal 2 binary64))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (sin.f64 (+.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))) x)) (cos.f64 x)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x)) (cos.f64 x)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (sin.f64 (+.f64 (neg.f64 (+.f64 x eps)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 x)))
(/.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 x eps)))) (cos.f64 x))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 x eps)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 x eps)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))) #s(literal 2 binary64)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 (+.f64 x eps)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (neg.f64 (+.f64 x eps)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)))
(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))) (cos.f64 (+.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))) #s(literal 2 binary64)))
#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))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 #s(approx (cos (+ eps x)) (fma.f64 (neg.f64 eps) (sin.f64 x) (cos.f64 x))) (cos.f64 x)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (.f64 #s(approx (+ ( (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) (fma.f64 (neg.f64 eps) (sin.f64 x) (cos.f64 x))) (cos.f64 x)))
(-.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))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (*.f64 (fma.f64 eps (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))

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

Calls

3 calls:

19.0ms	eps
17.0ms	x
16.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes49.0ms (0.3%)

Memory

-42.0MiB live, 63.8MiB allocated; 16ms collecting garbage

Counts

54 → 1

Calls

Call 1

Inputs
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) eps) x)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) eps) x)) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64)) x)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64)) x)) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) eps)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) eps)) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (+.f64 (PI.f64) eps)) (PI.f64))) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (+.f64 (PI.f64) eps)) (PI.f64))) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (+.f64 (+.f64 (PI.f64) eps) (PI.f64)))) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (+ (PI) x) (PI))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))) #s(approx (tan x) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 #s(approx (+ (+ (PI) x) (+ (PI) eps)) (fma.f64 #s(literal 2 binary64) (PI.f64) eps))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 #s(approx (+ (+ (PI) x) (+ (PI) eps)) (fma.f64 #s(literal 2 binary64) (PI.f64) eps))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) #s(approx (+ (PI) eps) (PI.f64)))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (/.f64 (-.f64 (.f64 (+.f64 (+.f64 (PI.f64) eps) x) (+.f64 (+.f64 (PI.f64) eps) x)) (.f64 (PI.f64) (PI.f64))) (-.f64 (+.f64 (+.f64 (PI.f64) eps) x) (PI.f64)))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.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)))
#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) #s(approx (* (cos (+ eps x)) (cos x)) (cos.f64 eps)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) #s(approx (* (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) (cos x)) (cos.f64 eps)))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
#s(approx (/ (sin (- (+ eps x) x)) (* (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) (cos x))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
(-.f64 (tan.f64 (+.f64 (+.f64 eps x) (PI.f64))) (tan.f64 (+.f64 (PI.f64) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (+.f64 (PI.f64) eps))) (tan.f64 x))
(-.f64 (tan.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps))) (tan.f64 x))
(/.f64 #s(approx (/ (sin (+ 0 eps)) (cos (+ eps x))) (/.f64 eps (cos.f64 x))) (cos.f64 x))
(/.f64 #s(approx (/ (sin eps) (cos x)) (/.f64 eps (cos.f64 x))) (cos.f64 (+.f64 x eps)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(/.f64 #s(approx (sin (- (+ eps x) x)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 #s(approx (/ (sin eps) (cos x)) (.f64 (/.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) (cos.f64 x)) eps)) (cos.f64 (+.f64 x eps)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(/.f64 #s(approx (sin (- (+ eps x) x)) (fma.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 eps eps) #s(literal 1/120 binary64)) eps) eps) #s(literal 1/6 binary64)) eps)) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (tan.f64 x))
(*.f64 (/.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) (cos.f64 (+.f64 (+.f64 x eps) x)))) #s(literal 2 binary64))
(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(/.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (cos.f64 x)) (cos.f64 (+.f64 eps x)))
(/.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(/.f64 (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) eps))) (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(*.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (+.f64 (cos.f64 (+.f64 #s(literal 0 binary64) eps)) (cos.f64 (+.f64 (+.f64 eps x) x)))) #s(literal 2 binary64))

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

Calls

3 calls:

20.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
14.0ms	eps
13.0ms	x

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes37.0ms (0.3%)

Memory

33.9MiB live, 79.2MiB allocated; 4ms collecting garbage

Counts

44 → 1

Calls

Call 1

Inputs
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) eps) x)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) eps) x)) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64)) x)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64)) x)) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) eps)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) eps)) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (+.f64 (PI.f64) eps)) (PI.f64))) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (+.f64 (PI.f64) eps)) (PI.f64))) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (+.f64 (+.f64 (PI.f64) eps) (PI.f64)))) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (+ (PI) x) (PI))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))) #s(approx (tan x) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 #s(approx (+ (+ (PI) x) (+ (PI) eps)) (fma.f64 #s(literal 2 binary64) (PI.f64) eps))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 #s(approx (+ (+ (PI) x) (+ (PI) eps)) (fma.f64 #s(literal 2 binary64) (PI.f64) eps))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) #s(approx (+ (PI) eps) (PI.f64)))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (/.f64 (-.f64 (.f64 (+.f64 (+.f64 (PI.f64) eps) x) (+.f64 (+.f64 (PI.f64) eps) x)) (.f64 (PI.f64) (PI.f64))) (-.f64 (+.f64 (+.f64 (PI.f64) eps) x) (PI.f64)))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.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)))
#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) #s(approx (* (cos (+ eps x)) (cos x)) (cos.f64 eps)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) #s(approx (* (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) (cos x)) (cos.f64 eps)))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
#s(approx (/ (sin (- (+ eps x) x)) (* (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) (cos x))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
(-.f64 (tan.f64 (+.f64 (+.f64 eps x) (PI.f64))) (tan.f64 (+.f64 (PI.f64) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (+.f64 (PI.f64) eps))) (tan.f64 x))
(-.f64 (tan.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps))) (tan.f64 x))
(/.f64 #s(approx (/ (sin (+ 0 eps)) (cos (+ eps x))) (/.f64 eps (cos.f64 x))) (cos.f64 x))
(/.f64 #s(approx (/ (sin eps) (cos x)) (/.f64 eps (cos.f64 x))) (cos.f64 (+.f64 x eps)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(/.f64 #s(approx (sin (- (+ eps x) x)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 #s(approx (/ (sin eps) (cos x)) (.f64 (/.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) (cos.f64 x)) eps)) (cos.f64 (+.f64 x eps)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(/.f64 #s(approx (sin (- (+ eps x) x)) (fma.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 eps eps) #s(literal 1/120 binary64)) eps) eps) #s(literal 1/6 binary64)) eps)) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))

Outputs

(/.f64 #s(approx (sin (- (+ eps x) x)) (fma.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 eps eps) #s(literal 1/120 binary64)) eps) eps) #s(literal 1/6 binary64)) eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes36.0ms (0.2%)

Memory

-26.1MiB live, 67.8MiB allocated; 3ms collecting garbage

Counts

43 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes34.0ms (0.2%)

Memory

3.6MiB live, 55.7MiB allocated; 3ms collecting garbage

Counts

39 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.6%	1	`eps`
98.6%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.6%	1	`x`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes31.0ms (0.2%)

Memory

7.5MiB live, 54.3MiB allocated; 1ms collecting garbage

Counts

37 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes26.0ms (0.2%)

Memory

1.5MiB live, 48.6MiB allocated; 2ms collecting garbage

Counts

29 → 2

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	x
8.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
7.0ms	eps

Results

Accuracy	Segments	Branch
97.3%	2	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
95.6%	1	`x`
97.5%	2	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes24.0ms (0.2%)

Memory

12.7MiB live, 56.3MiB allocated; 2ms collecting garbage

Counts

25 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
7.0ms	x
7.0ms	eps

Results

Accuracy	Segments	Branch
61.6%	1	`x`
61.6%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
61.6%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes36.0ms (0.2%)

Memory

-21.5MiB live, 68.7MiB allocated; 20ms collecting garbage

Counts

22 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

17.0ms	x
12.0ms	eps
6.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

Accuracy	Segments	Branch
59.5%	1	`x`
59.5%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
59.5%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes15.0ms (0.1%)

Memory

32.7MiB live, 32.7MiB allocated; 0ms collecting garbage

Counts

17 → 1

Calls

Call 1

Inputs
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) eps) x)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) eps) x)) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64)) x)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64)) x)) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) eps)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) eps)) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (+.f64 (PI.f64) eps)) (PI.f64))) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (+.f64 (PI.f64) eps)) (PI.f64))) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (+.f64 (+.f64 (PI.f64) eps) (PI.f64)))) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (+ (PI) x) (PI))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))) #s(approx (tan x) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 #s(approx (+ (+ (PI) x) (+ (PI) eps)) (fma.f64 #s(literal 2 binary64) (PI.f64) eps))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))

Outputs
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
59.3%	1	`x`
59.3%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
59.3%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes49.0ms (0.3%)

Memory

-27.5MiB live, 19.1MiB allocated; 5ms collecting garbage

Counts

14 → 1

Calls

Call 1

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

Outputs
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x)))

Calls

3 calls:

40.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
4.0ms	eps
4.0ms	x

Results

Accuracy	Segments	Branch
59.1%	1	`x`
59.1%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
59.1%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes11.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated; 0ms collecting garbage

Counts

11 → 1

Calls

Call 1

Inputs
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) eps) x)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) eps) x)) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64)) x)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64)) x)) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) eps)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) eps)) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (+.f64 (PI.f64) eps)) (PI.f64))) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (+.f64 (PI.f64) eps)) (PI.f64))) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (+.f64 (+.f64 (PI.f64) eps) (PI.f64)))) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))

Outputs
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) x))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
58.4%	1	`x`
58.4%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
58.4%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes3.0ms (0%)

Memory

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

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))

Outputs
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
7.6%	1	`x`
7.6%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
7.6%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch5.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
4.0ms	4.3324218231868123e-13	8.999889536835259e-13

Samples

2.0ms	44×	0	valid
1.0ms	4×	1	valid

Compiler

Compiled 70 to 65 computations (7.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-tan: 1.0ms (65.8% of total)

adjust: 0.0ms (0% of total)

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

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

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

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

simplify73.0ms (0.5%)

Memory

-21.2MiB live, 25.7MiB allocated; 3ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	106	303
1	152	289
2	212	275
3	266	275
4	419	275
5	1051	275
6	2345	275
7	3693	275
8	6707	275

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (.f64 (fma.f64 (fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))) (cos.f64 x)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))) (cos.f64 x)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (sin.f64 (+.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))) x)) (cos.f64 x)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (fma.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 eps eps) #s(literal 1/120 binary64)) eps) eps) #s(literal 1/6 binary64)) eps)) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 #s(approx (/ (sin eps) (cos x)) (/.f64 eps (cos.f64 x))) (cos.f64 (+.f64 x eps)))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(if (<=.f64 eps #s(literal 4951760157141521/9903520314283042199192993792 binary64)) #s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))

Outputs
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (.f64 (fma.f64 (fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))) (cos.f64 x)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))) (cos.f64 x)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (sin.f64 (+.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))) x)) (cos.f64 x)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (fma.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 eps eps) #s(literal 1/120 binary64)) eps) eps) #s(literal 1/6 binary64)) eps)) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 #s(approx (/ (sin eps) (cos x)) (/.f64 eps (cos.f64 x))) (cos.f64 (+.f64 x eps)))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(if (<=.f64 eps #s(literal 4951760157141521/9903520314283042199192993792 binary64)) #s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) x))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) #s(literal 0 binary64)))

derivations1.3s (8.7%)

Memory

11.7MiB live, 574.5MiB allocated; 125ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	594
0	134	541
1	629	436
2	5802	436
0	8190	421
0	688	3855
1	2293	3676
0	8593	3364
0	43	202
0	74	193
1	355	157
2	3295	157
0	8087	157
0	45	206
0	76	179
1	377	167
2	3455	167
0	8071	167
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	843	5437
1	2647	5089
0	8801	4759

Stop Event

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

Compiler

Compiled 303 to 103 computations (66% saved)

preprocess98.0ms (0.7%)

Memory: 30.6MiB live, 157.1MiB allocated; 26ms collecting garbage
Compiler: Compiled 638 to 230 computations (63.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze60.0ms (0.4%)

sample6.9s (47.4%)

explain112.0ms (0.8%)

preprocess280.0ms (1.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify211.0ms (1.5%)

localize35.0ms (0.2%)

series11.0ms (0.1%)

simplify190.0ms (1.3%)

rewrite210.0ms (1.5%)

eval25.0ms (0.2%)

prune19.0ms (0.1%)

simplify190.0ms (1.3%)

localize742.0ms (5.1%)

series109.0ms (0.8%)

simplify225.0ms (1.6%)

rewrite287.0ms (2%)

eval223.0ms (1.5%)

prune26.0ms (0.2%)

simplify154.0ms (1.1%)

localize664.0ms (4.6%)

series33.0ms (0.2%)

simplify134.0ms (0.9%)

rewrite182.0ms (1.3%)

eval113.0ms (0.8%)

prune40.0ms (0.3%)

simplify133.0ms (0.9%)

localize596.0ms (4.1%)

series78.0ms (0.5%)

simplify151.0ms (1%)

rewrite167.0ms (1.2%)

eval132.0ms (0.9%)

prune70.0ms (0.5%)

regimes89.0ms (0.6%)

regimes60.0ms (0.4%)

regimes55.0ms (0.4%)

regimes49.0ms (0.3%)

regimes37.0ms (0.3%)

regimes36.0ms (0.2%)

regimes34.0ms (0.2%)

regimes31.0ms (0.2%)

regimes26.0ms (0.2%)

regimes24.0ms (0.2%)

regimes36.0ms (0.2%)

regimes15.0ms (0.1%)

regimes49.0ms (0.3%)

regimes11.0ms (0.1%)

regimes3.0ms (0%)

bsearch5.0ms (0%)

simplify73.0ms (0.5%)

derivations1.3s (8.7%)

preprocess98.0ms (0.7%)

end0.0ms (0%)

Profiling