Metrics for 2tan (problem 3.3.2)

start0.0ms (0%)

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

analyze93.0ms (0.6%)

Memory

-7.4MiB live, 36.8MiB allocated; 27ms 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)

sample7.3s (49.1%)

Memory

-109.8MiB live, 7 643.5MiB allocated; 2.6s collecting garbage

Samples

3.3s	25 712×	0	invalid
1.1s	5 042×	1	valid
486.0ms	3 214×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.4s

const: 702.0ms (20.7% of total)

ival-tan: 701.0ms (20.7% of total)

ival-sub: 354.0ms (10.4% of total)

ival-add: 328.0ms (9.7% of total)

adjust: 289.0ms (8.5% of total)

ival-fabs: 226.0ms (6.7% of total)

ival-mult: 213.0ms (6.3% of total)

ival-<=: 212.0ms (6.3% of total)

ival-<: 209.0ms (6.2% of total)

ival-and: 102.0ms (3% of total)

exact: 43.0ms (1.3% of total)

ival-assert: 12.0ms (0.4% of total)

Bogosity

explain207.0ms (1.4%)

Memory

6.2MiB live, 244.1MiB allocated; 13ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
219	3	(-5.526139394320619e-17 4.1519194956551108e-19)	2	(1.9851810955919863e-185 2.0315311783046448e-187)	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
2	0	-	0	-	`(tan.f64 (+.f64 x eps))`
0	0	-	0	-	`eps`
0	0	-	0	-	`(+.f64 x eps)`
0	0	-	0	-	`(tan.f64 x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`	cancellation	220	6
`tan.f64`	`(tan.f64 (+.f64 x eps))`	sensitivity	2	0

Confusion

	Predicted +	Predicted -
+	219	2
-	3	32

Precision

0.9864864864864865

Recall

0.9909502262443439

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	219	2	0
-	3	4	28

Precision?

0.9692982456140351

Recall?

1.0

Freqs

test

number	freq
0	34
1	222

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

107.0ms	298×	1	valid
11.0ms	208×	0	valid
4.0ms	4×	3	valid
0.0ms	2×	2	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

adjust: 42.0ms (53.7% of total)

ival-add: 17.0ms (21.7% of total)

ival-tan: 15.0ms (19.2% of total)

ival-sub: 4.0ms (5.1% of total)

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

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

preprocess326.0ms (2.2%)

Memory

-8.9MiB live, 180.1MiB allocated; 27ms 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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.3%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify275.0ms (1.9%)

Memory

35.5MiB live, 224.1MiB allocated; 23ms 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)

localize90.0ms (0.6%)

Memory

-7.1MiB live, 86.6MiB 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	0.14023759480777764	(tan.f64 (+.f64 x eps))
accuracy	23.36640774127336	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Samples

52.0ms	149×	1	valid
30.0ms	104×	0	valid
2.0ms	2×	3	valid
0.0ms	1×	2	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-sub: 34.0ms (66.8% of total)

ival-tan: 8.0ms (15.7% of total)

adjust: 6.0ms (11.8% of total)

ival-add: 2.0ms (3.9% of total)

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

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

series11.0ms (0.1%)

Memory

16.2MiB live, 16.2MiB 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	eps	@	inf	((- (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))
1.0ms	x	@	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))

simplify158.0ms (1.1%)

Memory

-36.4MiB live, 150.4MiB allocated; 17ms 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)))

rewrite301.0ms (2%)

Memory

1.6MiB live, 335.1MiB allocated; 44ms 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: 45.0MiB live, 44.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 5 935 to 840 computations (85.8% saved)

prune28.0ms (0.2%)

Memory

-13.2MiB live, 33.1MiB allocated; 2ms collecting garbage

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	170	13	183
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	170	14	184

Accuracy

100.0%

Counts

184 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.5%	(fma.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 2 binary64)))) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal 1 binary64)) (-.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x)))
	63.3%	(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (cos.f64 (+.f64 eps x))) (cos.f64 x))
▶	63.4%	(/.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)))
	63.3%	(/.f64 (-.f64 (.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))) (.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
	63.3%	(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	63.4%	(-.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))
▶	4.3%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))) (tan.f64 x))
	4.3%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
▶	7.4%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
✓	63.3%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶	99.1%	#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))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x)) eps eps))
▶	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps))
	97.7%	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))

Compiler

Compiled 761 to 374 computations (50.9% saved)

simplify189.0ms (1.3%)

Memory

12.0MiB live, 250.3MiB allocated; 26ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 (tan.f64 eps) (tan.f64 x))
cost-diff	0	(*.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x))
cost-diff	2	(-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (sin.f64 x)))
cost-diff	7	(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (sin.f64 x))) (*.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
cost-diff	0	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
cost-diff	0	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
cost-diff	0	(fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps)
cost-diff	0	#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))
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	65	1413
0	127	1401
1	241	1309
2	697	1158
3	3417	1116
0	9188	1096

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

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

localize674.0ms (4.5%)

Memory

26.7MiB live, 813.1MiB allocated; 167ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.021816259768442016	(*.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (sin.f64 x))
accuracy	0.0234375	(+.f64 (tan.f64 eps) (tan.f64 x))
accuracy	0.03515625	(*.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x))
accuracy	23.385132561743365	(-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (sin.f64 x)))
accuracy	0.0078125	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
accuracy	0.01171875	(pow.f64 (cos.f64 x) #s(literal 2 binary64))
accuracy	0.01953125	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
accuracy	0.8300206697428195	#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))
accuracy	0.0078125	(+.f64 (PI.f64) x)
accuracy	0.01953125	(+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))
accuracy	23.36640774127336	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))) (tan.f64 x))
accuracy	59.033655476419234	(tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps)))
accuracy	0.0078125	(+.f64 (PI.f64) x)
accuracy	0.14023759480777764	(tan.f64 (+.f64 x eps))
accuracy	23.36640774127336	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
accuracy	58.996203650819545	(tan.f64 (+.f64 (PI.f64) x))
accuracy	0.28515625	(*.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	0.31640625	(.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	0.5377260482190267	#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	0.97265625	(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

510.0ms	250×	1	valid
42.0ms	2×	3	valid
6.0ms	1×	2	valid
2.0ms	3×	0	valid

Compiler

Compiled 1 351 to 73 computations (94.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 474.0ms

ival-tan: 189.0ms (39.8% of total)

adjust: 81.0ms (17.1% of total)

ival-mult: 74.0ms (15.6% of total)

ival-add: 51.0ms (10.8% of total)

ival-div: 31.0ms (6.5% of total)

const: 14.0ms (3% of total)

ival-sub: 12.0ms (2.5% of total)

ival-pow2: 9.0ms (1.9% of total)

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

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

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

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

exact: 1.0ms (0.2% of total)

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

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

series101.0ms (0.7%)

Memory

13.5MiB live, 100.8MiB allocated; 32ms collecting garbage

Counts

25 → 168

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

Outputs
(* -2/3 x)
(* x (- (* -14/9 (pow x 2)) 2/3))
(* x (- (* (pow x 2) (- (* -331/180 (pow x 2)) 14/9)) 2/3))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -3071/1890 (pow x 2)) 331/180)) 14/9)) 2/3))
(* -1/3 x)
(* x (- (* -23/18 (pow x 2)) 1/3))
(* x (- (* (pow x 2) (- (* -601/360 (pow x 2)) 23/18)) 1/3))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -23183/15120 (pow x 2)) 601/360)) 23/18)) 1/3))
(* -5/6 (pow x 2))
(* (pow x 2) (- (* -13/18 (pow x 2)) 5/6))
(* (pow x 2) (- (* (pow x 2) (- (* -10/27 (pow x 2)) 13/18)) 5/6))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -373/1890 (pow x 2)) 10/27)) 13/18)) 5/6))
-1/3
(- (* -4/3 (pow x 2)) 1/3)
(- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/3)
(- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/3)
(/ (sin (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 (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ eps (* eps (pow x 2)))
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (* -1/3 eps) (* -1 eps))))))
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (+ (* -1/3 eps) (* (pow x 2) (- (* 2/45 eps) (+ (* -1 (- (* -1/3 eps) (* -1 eps))) (* 1/3 eps))))) (* -1 eps))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/2 (/ (sin eps) (cos eps))))) (cos eps)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* (pow x 2) (- (* -1/2 (/ (sin eps) (cos eps))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
(+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* 1/24 (/ (sin eps) (cos eps))) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
(+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (* (pow x 2) (- (+ (* 1/24 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* -1/720 (/ (sin eps) (cos eps))) (+ (* -2/15 (/ (sin eps) (cos eps))) (+ (* -1/120 (/ (sin eps) (cos eps))) (* 1/18 (/ (sin eps) (cos eps)))))))) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
(+ x (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* -1/2 (/ (* x (sin eps)) (cos eps))))) (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* x (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/6 x))))) (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 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))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
x
(* x (+ 1 (* -1 (/ (* x (sin eps)) (cos eps)))))
(* x (+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1/6 x)))))
(* x (+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* x (- (* x (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))) 1/6))))))
(+ (* -2/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))
(+ (* -1/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))
(+ (* 1/6 (pow (sin x) 2)) (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
(+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))))
(/ (sin (+ 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 x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(pow (sin x) 2)
(/ (- (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(- (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(+ (/ (sin eps) (cos eps)) (/ (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))))
(pow (cos x) 2)
(* (sin x) (+ 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 (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(- (/ (sin x) (cos x)) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(/ (sin x) (cos x))
(+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
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(/ (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) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (* eps (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (cos x))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))))) (pow (cos x) 2))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1/3 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2))))))) (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- (+ (cos x) (* (pow eps 2) (- (* 1/3 (cos x)) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (- (* 2/15 (cos x)) (* -2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (- (+ (* 2/15 (cos x)) (* (pow eps 2) (- (* 17/315 (cos x)) (* -17/315 (/ (pow (sin x) 2) (cos x)))))) (* -2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(sin x)
(+ (sin x) (* eps (cos x)))
(+ (sin x) (* eps (+ (cos x) (* 1/3 (* (pow eps 2) (cos x))))))
(+ (sin x) (* eps (+ (cos x) (* (pow eps 2) (+ (* 2/15 (* (pow eps 2) (cos x))) (* 1/3 (cos x)))))))
(+ eps (/ (sin x) (cos x)))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (/ (sin x) (cos x)))
(+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (/ (sin x) (cos x)))
(* -1 (* eps (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))))))
(* eps (+ (* -1 (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))))) (* -1 (/ (* eps (+ (* -2/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) (cos x)))))
(+ (sin x) (* -1 (/ (* eps (pow (sin x) 2)) (cos x))))
(+ (sin x) (* eps (+ (* -1 (/ (pow (sin x) 2) (cos x))) (* -1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))))))
(+ (sin x) (* eps (+ (* -1 (/ (pow (sin x) 2) (cos x))) (* (pow eps 2) (+ (* -1/3 (/ (pow (sin x) 2) (cos x))) (* -2/15 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))))))))
(* eps (+ 1 (/ x eps)))
(* 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)))))
(- (/ (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) (cos x)))
(* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
(* -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))))

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) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (pow (sin x) 2) (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (* (neg (tan x)) (tan eps)) 1) (cos x))) (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (tan eps) (tan x)) (cos x)) (+ (tan eps) (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) (pow (cos x) 2) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x)))
20.0ms	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) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (pow (sin x) 2) (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (* (neg (tan x)) (tan eps)) 1) (cos x))) (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (tan eps) (tan x)) (cos x)) (+ (tan eps) (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) (pow (cos x) 2) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x)))
17.0ms	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) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (pow (sin x) 2) (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (* (neg (tan x)) (tan eps)) 1) (cos x))) (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (tan eps) (tan x)) (cos x)) (+ (tan eps) (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) (pow (cos x) 2) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x)))
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) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (pow (sin x) 2) (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (* (neg (tan x)) (tan eps)) 1) (cos x))) (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (tan eps) (tan x)) (cos x)) (+ (tan eps) (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) (pow (cos x) 2) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x)))
10.0ms	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) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (pow (sin x) 2) (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (* (neg (tan x)) (tan eps)) 1) (cos x))) (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (tan eps) (tan x)) (cos x)) (+ (tan eps) (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) (pow (cos x) 2) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x)))

simplify174.0ms (1.2%)

Memory

-21.6MiB live, 165.9MiB allocated; 36ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	814	5114
1	2603	4790
0	8883	4465

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 166

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 (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ eps (* eps (pow x 2)))
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (* -1/3 eps) (* -1 eps))))))
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (+ (* -1/3 eps) (* (pow x 2) (- (* 2/45 eps) (+ (* -1 (- (* -1/3 eps) (* -1 eps))) (* 1/3 eps))))) (* -1 eps))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/2 (/ (sin eps) (cos eps))))) (cos eps)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* (pow x 2) (- (* -1/2 (/ (sin eps) (cos eps))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
(+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* 1/24 (/ (sin eps) (cos eps))) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
(+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (* (pow x 2) (- (+ (* 1/24 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* -1/720 (/ (sin eps) (cos eps))) (+ (* -2/15 (/ (sin eps) (cos eps))) (+ (* -1/120 (/ (sin eps) (cos eps))) (* 1/18 (/ (sin eps) (cos eps)))))))) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
(+ x (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* -1/2 (/ (* x (sin eps)) (cos eps))))) (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* x (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/6 x))))) (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 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))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
x
(* x (+ 1 (* -1 (/ (* x (sin eps)) (cos eps)))))
(* x (+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1/6 x)))))
(* x (+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* x (- (* x (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))) 1/6))))))
(+ (* -2/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))
(+ (* -1/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))
(+ (* 1/6 (pow (sin x) 2)) (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
(+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))))
(/ (sin (+ 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 x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(pow (sin x) 2)
(/ (- (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(- (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(+ (/ (sin eps) (cos eps)) (/ (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))))
(pow (cos x) 2)
(* (sin x) (+ 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 (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(- (/ (sin x) (cos x)) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(/ (sin x) (cos x))
(+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(/ (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) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (* eps (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (cos x))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))))) (pow (cos x) 2))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1/3 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2))))))) (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- (+ (cos x) (* (pow eps 2) (- (* 1/3 (cos x)) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (- (* 2/15 (cos x)) (* -2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (- (+ (* 2/15 (cos x)) (* (pow eps 2) (- (* 17/315 (cos x)) (* -17/315 (/ (pow (sin x) 2) (cos x)))))) (* -2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(sin x)
(+ (sin x) (* eps (cos x)))
(+ (sin x) (* eps (+ (cos x) (* 1/3 (* (pow eps 2) (cos x))))))
(+ (sin x) (* eps (+ (cos x) (* (pow eps 2) (+ (* 2/15 (* (pow eps 2) (cos x))) (* 1/3 (cos x)))))))
(+ eps (/ (sin x) (cos x)))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (/ (sin x) (cos x)))
(+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (/ (sin x) (cos x)))
(* -1 (* eps (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))))))
(* eps (+ (* -1 (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))))) (* -1 (/ (* eps (+ (* -2/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) (cos x)))))
(+ (sin x) (* -1 (/ (* eps (pow (sin x) 2)) (cos x))))
(+ (sin x) (* eps (+ (* -1 (/ (pow (sin x) 2) (cos x))) (* -1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))))))
(+ (sin x) (* eps (+ (* -1 (/ (pow (sin x) 2) (cos x))) (* (pow eps 2) (+ (* -1/3 (/ (pow (sin x) 2) (cos x))) (* -2/15 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x))))))))
(* eps (+ 1 (/ x eps)))
(* 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)))))
(- (/ (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) (cos x)))
(* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
(* -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))))

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

rewrite296.0ms (2%)

Memory

-3.9MiB live, 250.6MiB allocated; 146ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	606
0	127	571
1	579	455
2	4961	455
0	8099	440

Stop Event

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

Counts

25 → 605

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

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

eval482.0ms (3.3%)

Memory: 34.2MiB live, 492.3MiB allocated; 54ms collecting garbage
Compiler: Compiled 202 607 to 12 732 computations (93.7% saved)

prune53.0ms (0.4%)

Memory

-34.0MiB live, 120.2MiB allocated; 22ms collecting garbage

Pruning

24 alts after pruning (21 fresh and 3 done)

	Pruned	Kept	Total
New	1 638	17	1 655
Fresh	4	4	8
Picked	3	2	5
Done	0	1	1
Total	1 645	24	1 669

Accuracy

100.0%

Counts

1 669 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.5%	(fma.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 2 binary64)))) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal 1 binary64)) (-.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x)))
	63.4%	(/.f64 (fma.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x) (.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)))) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
	63.5%	(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x)) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (-.f64 (.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)) #s(literal 1 binary64)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
	63.3%	(/.f64 (-.f64 (.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))) (.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
▶	97.9%	(/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
▶	99.2%	(/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) (.f64 eps eps) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) eps)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
	98.9%	(/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) eps)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
	63.4%	(-.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))
✓	4.3%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))) (tan.f64 x))
✓	7.4%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
✓	63.3%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	61.8%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x)))
▶	61.5%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) x))
	7.8%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x)) eps eps))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 (sin.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (neg.f64 x) (PI.f64)))) (sin.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (neg.f64 x) (PI.f64))))) #s(literal 2 binary64))) eps eps))
▶	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))))) eps eps))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (neg.f64 x) (PI.f64))))))) eps eps))
	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
	97.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
▶	97.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (*.f64 x x)) eps eps))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) eps))

Compiler

Compiled 1 297 to 803 computations (38.1% saved)

simplify167.0ms (1.1%)

Memory

25.3MiB live, 167.8MiB allocated; 26ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 x x) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
cost-diff	0	(/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
cost-diff	4	(fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
cost-diff	0	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))))) eps eps))
cost-diff	1	(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))
cost-diff	1	(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))))
cost-diff	3	(*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
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 x x)
cost-diff	0	#s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (*.f64 x x))
cost-diff	0	(fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (*.f64 x x)) eps eps)
cost-diff	0	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (*.f64 x x)) eps eps))
cost-diff	0	#s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) (*.f64 eps eps) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) eps))
cost-diff	0	(/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) (.f64 eps eps) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) eps)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
cost-diff	2	(.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) (*.f64 eps eps) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) eps)
cost-diff	9	(fma.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) (.f64 eps eps) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	581
0	109	568
1	210	568
2	550	536
3	1823	505
4	6156	505
0	8841	485

Stop Event

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

Calls

Call 1

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

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

localize429.0ms (2.9%)

Memory

-6.3MiB live, 365.2MiB allocated; 63ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(.f64 (.f64 x x) #s(literal 1/2 binary64))
accuracy	0.01171875	(/.f64 (sin.f64 eps) (cos.f64 eps))
accuracy	0.015625	(*.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x))
accuracy	1.3095311428134608	#s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
accuracy	0.015625	(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)
accuracy	0.01953125	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
accuracy	0.09201782925449929	(cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
accuracy	0.8300206697428195	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))))) eps eps))
accuracy	0.0	(+.f64 x eps)
accuracy	0.14023759480777764	(tan.f64 (+.f64 x eps))
accuracy	1.5948863282148535	#s(approx (tan (+ (PI) x)) x)
accuracy	23.36640774127336	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) x))
accuracy	0.0	(fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (*.f64 x x)) eps eps)
accuracy	0.0	(*.f64 x x)
accuracy	0.8300206697428195	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (*.f64 x x)) eps eps))
accuracy	1.5618224014370679	#s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (*.f64 x x))
accuracy	0.01171875	(*.f64 #s(literal 1/3 binary64) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))))
accuracy	0.015625	(*.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x))
accuracy	0.01953125	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
accuracy	0.5309334012122944	#s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) (*.f64 eps eps) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) eps))

Samples

356.0ms	250×	1	valid
5.0ms	2×	3	valid
2.0ms	1×	2	valid
2.0ms	3×	0	valid

Compiler

Compiled 456 to 56 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 318.0ms

ival-tan: 125.0ms (39.4% of total)

adjust: 55.0ms (17.3% of total)

ival-mult: 43.0ms (13.5% of total)

ival-cos: 23.0ms (7.2% of total)

ival-add: 21.0ms (6.6% of total)

ival-div: 17.0ms (5.4% of total)

ival-sub: 9.0ms (2.8% of total)

ival-pow2: 9.0ms (2.8% of total)

ival-sin: 7.0ms (2.2% of total)

const: 4.0ms (1.3% of total)

ival-pi: 3.0ms (0.9% of total)

ival-neg: 2.0ms (0.6% of total)

exact: 1.0ms (0.3% of total)

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

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

series64.0ms (0.4%)

Memory

20.0MiB live, 107.1MiB allocated; 12ms collecting garbage

Counts

26 → 143

Calls

Call 1

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

Outputs
(+ 1 (* 1/3 (pow eps 2)))
(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/2 (* 1/6 (pow eps 2))))))
(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/2 (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ 5/24 (* 5/72 (pow eps 2)))))))))
(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/2 (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ 5/24 (+ (* 5/72 (pow eps 2)) (* (pow x 2) (+ 61/720 (* 61/2160 (pow eps 2))))))))))))
(* eps (+ 1 (* 1/3 (pow eps 2))))
(+ (* eps (* (pow x 2) (+ 1/2 (* 1/6 (pow eps 2))))) (* eps (+ 1 (* 1/3 (pow eps 2)))))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow x 2) (+ (* eps (* (pow x 2) (+ 5/24 (* 5/72 (pow eps 2))))) (* eps (+ 1/2 (* 1/6 (pow eps 2)))))))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow x 2) (+ (* eps (+ 1/2 (* 1/6 (pow eps 2)))) (* (pow x 2) (+ (* eps (* (pow x 2) (+ 61/720 (* 61/2160 (pow eps 2))))) (* eps (+ 5/24 (* 5/72 (pow eps 2)))))))))
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/2 (/ (sin eps) (cos eps))))) (cos eps)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* (pow x 2) (- (* -1/2 (/ (sin eps) (cos eps))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
(+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* 1/24 (/ (sin eps) (cos eps))) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
(+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (* (pow x 2) (- (+ (* 1/24 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* -1/720 (/ (sin eps) (cos eps))) (+ (* -2/15 (/ (sin eps) (cos eps))) (+ (* -1/120 (/ (sin eps) (cos eps))) (* 1/18 (/ (sin eps) (cos eps)))))))) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
eps
(+ eps (* eps (pow x 2)))
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (* -1/3 eps) (* -1 eps))))))
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (+ (* -1/3 eps) (* (pow x 2) (- (* 2/45 eps) (+ (* -1 (- (* -1/3 eps) (* -1 eps))) (* 1/3 eps))))) (* -1 eps))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(- (/ (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 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))))
(PI)
(+ (PI) (* 2 x))
(- 1/2 (* 1/2 (cos (PI))))
(- (+ 1/2 (* x (sin (PI)))) (* 1/2 (cos (PI))))
(- (+ 1/2 (* x (- (* x (cos (PI))) (* -1 (sin (PI)))))) (* 1/2 (cos (PI))))
(- (+ 1/2 (* x (- (* x (- (* -2/3 (* x (sin (PI)))) (* -1 (cos (PI))))) (* -1 (sin (PI)))))) (* 1/2 (cos (PI))))
(* 1/2 (cos (PI)))
(+ (* -1 (* x (sin (PI)))) (* 1/2 (cos (PI))))
(+ (* 1/2 (cos (PI))) (* x (+ (* -1 (sin (PI))) (* -1 (* x (cos (PI)))))))
(+ (* 1/2 (cos (PI))) (* x (+ (* -1 (sin (PI))) (* x (+ (* -1 (cos (PI))) (* 2/3 (* x (sin (PI)))))))))
(+ (* 1/2 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
1
(+ 1 (* -1 (/ (* x (sin eps)) (cos eps))))
(+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1/2 x))))
(+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* x (- (* x (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/2 (/ (sin eps) (cos eps))))) 1/2)))))
1/3
(+ 1/3 (* 1/6 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/6 (* 5/72 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/72 (* 61/2160 (pow x 2)))))))
(cos (PI))
(+ (cos (PI)) (* -2 (* x (sin (PI)))))
(+ (cos (PI)) (* x (- (* -2 (* x (cos (PI)))) (* 2 (sin (PI))))))
(+ (cos (PI)) (* x (- (* x (+ (* -2 (cos (PI))) (* 4/3 (* x (sin (PI)))))) (* 2 (sin (PI))))))
(* 1/2 (PI))
(+ x (* 1/2 (PI)))
(+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))
(* eps (+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))))
(/ (- (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(- (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(/ (sin (+ eps x)) (cos (+ eps x)))
x
(* x (+ 1 (/ eps x)))
(/ (sin (+ x (PI))) (cos (+ x (PI))))
(* 2 x)
(* x (+ 2 (/ (PI) x)))
(- 1/2 (* 1/2 (cos (* 2 (+ x (* 1/2 (PI)))))))
(* 1/2 (cos (* 2 (+ x (* 1/2 (PI))))))
(* 1/2 (/ (* (pow x 2) (sin eps)) (cos eps)))
(* (pow x 2) (+ (* 1/2 (/ (sin eps) (cos eps))) (/ (sin eps) (* (pow x 2) (cos eps)))))
(pow (sin x) 2)
(* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x))))
(cos (* 2 (+ x (* 1/2 (PI)))))
(* x (+ 1 (* 1/2 (/ (PI) x))))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x)))))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x))))
(* -1 (* x (- (* -1 (/ (PI) x)) 2)))
(- 1/2 (* 1/2 (cos (* 2 (- (* 1/2 (PI)) (* -1 x))))))
(* 1/2 (cos (* 2 (- (* 1/2 (PI)) (* -1 x)))))
(cos (* 2 (- (* 1/2 (PI)) (* -1 x))))
(* -1 (* x (- (* -1/2 (/ (PI) x)) 1)))
(+ (cos x) (/ (pow (sin x) 2) (cos x)))
(* eps (+ (cos x) (/ (pow (sin x) 2) (cos x))))
(/ (* eps (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (cos x))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))))) (pow (cos x) 2))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1/3 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2))))))) (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- (+ (cos x) (* (pow eps 2) (- (* 1/3 (cos x)) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (- (* 2/15 (cos x)) (* -2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (- (+ (* 2/15 (cos x)) (* (pow eps 2) (- (* 17/315 (cos x)) (* -17/315 (/ (pow (sin x) 2) (cos x)))))) (* -2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(- (/ (sin x) (cos x)) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(/ (sin x) (cos x))
(+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(* eps (+ 1 (* 1/2 (pow x 2))))
(* eps (+ 1 (+ (* 1/2 (pow x 2)) (* (pow eps 2) (+ 1/3 (* 1/2 (- (* -1/6 (pow x 2)) (* -1/2 (pow x 2)))))))))
(* eps (+ 1 (+ (* 1/2 (pow x 2)) (* (pow eps 2) (+ 1/3 (+ (* 1/2 (- (* -1/6 (pow x 2)) (* -1/2 (pow x 2)))) (* (pow eps 2) (+ 2/15 (* 1/2 (- (* 1/120 (pow x 2)) (+ (* -1/2 (- (* -1/6 (pow x 2)) (* -1/2 (pow x 2)))) (* 1/24 (pow x 2)))))))))))))
(* eps (+ 1 (+ (* 1/2 (pow x 2)) (* (pow eps 2) (+ 1/3 (+ (* 1/2 (- (* -1/6 (pow x 2)) (* -1/2 (pow x 2)))) (* (pow eps 2) (+ 2/15 (+ (* 1/2 (- (* 1/120 (pow x 2)) (+ (* -1/2 (- (* -1/6 (pow x 2)) (* -1/2 (pow x 2)))) (* 1/24 (pow x 2))))) (* (pow eps 2) (+ 17/315 (* 1/2 (- (* -1/5040 (pow x 2)) (+ (* -1/2 (- (* 1/120 (pow x 2)) (+ (* -1/2 (- (* -1/6 (pow x 2)) (* -1/2 (pow x 2)))) (* 1/24 (pow x 2))))) (+ (* -1/720 (pow x 2)) (* 1/24 (- (* -1/6 (pow x 2)) (* -1/2 (pow x 2)))))))))))))))))))
(cos x)
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (+ (* -1 (sin x)) (* -1/3 (* (pow eps 2) (sin x))))))
(+ (cos x) (* eps (+ (* -1 (sin x)) (* (pow eps 2) (+ (* -1/3 (sin x)) (* -2/15 (* (pow eps 2) (sin x))))))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x)))))
(* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (+ (/ (cos x) (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))
(* 1/3 (* (pow eps 3) (+ (cos x) (/ (pow (sin x) 2) (cos x)))))
(* (pow eps 3) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (+ (/ (cos x) (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))
(* eps (+ 1 (/ x eps)))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (cos x) (/ (pow (sin x) 2) (cos x))) (pow eps 2))) (* -1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
23.0ms	eps	@	-inf	((+ (* (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (* (+ (* (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (+ (cos x) (/ (pow (sin x) 2) (cos x)))) eps) (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (* (neg (tan x)) (tan eps)) 1) (cos x))) (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (* x x) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (tan (+ (PI) x)) (* 2 (+ (/ (PI) 2) x)) (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x))))) (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))) (- (tan (+ x eps)) (tan x)) (+ (* (* (* x x) 1/2) (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (* (neg (tan x)) (tan eps)) 1) (cos x))) (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (* x x) 1/2) (pow (sin x) 2) (* (+ (* (neg (tan x)) (tan eps)) 1) (cos x)) (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (cos (* 2 (+ (/ (PI) 2) x))) (+ (/ (PI) 2) x) (/ (sin eps) (cos eps)))
11.0ms	x	@	-inf	((+ (* (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (* (+ (* (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (+ (cos x) (/ (pow (sin x) 2) (cos x)))) eps) (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (* (neg (tan x)) (tan eps)) 1) (cos x))) (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (* x x) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (tan (+ (PI) x)) (* 2 (+ (/ (PI) 2) x)) (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x))))) (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))) (- (tan (+ x eps)) (tan x)) (+ (* (* (* x x) 1/2) (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (* (neg (tan x)) (tan eps)) 1) (cos x))) (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (* x x) 1/2) (pow (sin x) 2) (* (+ (* (neg (tan x)) (tan eps)) 1) (cos x)) (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (cos (* 2 (+ (/ (PI) 2) x))) (+ (/ (PI) 2) x) (/ (sin eps) (cos eps)))
8.0ms	x	@	inf	((+ (* (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (* (+ (* (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (+ (cos x) (/ (pow (sin x) 2) (cos x)))) eps) (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (* (neg (tan x)) (tan eps)) 1) (cos x))) (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (* x x) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (tan (+ (PI) x)) (* 2 (+ (/ (PI) 2) x)) (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x))))) (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))) (- (tan (+ x eps)) (tan x)) (+ (* (* (* x x) 1/2) (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (* (neg (tan x)) (tan eps)) 1) (cos x))) (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (* x x) 1/2) (pow (sin x) 2) (* (+ (* (neg (tan x)) (tan eps)) 1) (cos x)) (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (cos (* 2 (+ (/ (PI) 2) x))) (+ (/ (PI) 2) x) (/ (sin eps) (cos eps)))
7.0ms	eps	@	inf	((+ (* (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (* (+ (* (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (+ (cos x) (/ (pow (sin x) 2) (cos x)))) eps) (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (* (neg (tan x)) (tan eps)) 1) (cos x))) (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (* x x) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (tan (+ (PI) x)) (* 2 (+ (/ (PI) 2) x)) (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x))))) (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))) (- (tan (+ x eps)) (tan x)) (+ (* (* (* x x) 1/2) (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (* (neg (tan x)) (tan eps)) 1) (cos x))) (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (* x x) 1/2) (pow (sin x) 2) (* (+ (* (neg (tan x)) (tan eps)) 1) (cos x)) (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (cos (* 2 (+ (/ (PI) 2) x))) (+ (/ (PI) 2) x) (/ (sin eps) (cos eps)))
7.0ms	x	@	0	((+ (* (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (* (+ (* (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (* eps eps)) (+ (cos x) (/ (pow (sin x) 2) (cos x)))) eps) (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (* (neg (tan x)) (tan eps)) 1) (cos x))) (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (* x x) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (tan (+ (PI) x)) (* 2 (+ (/ (PI) 2) x)) (- 1/2 (* 1/2 (cos (* 2 (+ (/ (PI) 2) x))))) (* 1/2 (cos (* 2 (+ (/ (PI) 2) x)))) (- (tan (+ x eps)) (tan x)) (+ (* (* (* x x) 1/2) (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (* (neg (tan x)) (tan eps)) 1) (cos x))) (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (* x x) 1/2) (pow (sin x) 2) (* (+ (* (neg (tan x)) (tan eps)) 1) (cos x)) (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (cos (* 2 (+ (/ (PI) 2) x))) (+ (/ (PI) 2) x) (/ (sin eps) (cos eps)))

simplify184.0ms (1.2%)

Memory

-25.0MiB live, 129.5MiB allocated; 27ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	679	3399
1	2500	3165
0	8756	2971

Stop Event

1×	iter limit
1×	node limit

Counts

143 → 141

Calls

Call 1

Inputs
(+ 1 (* 1/3 (pow eps 2)))
(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/2 (* 1/6 (pow eps 2))))))
(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/2 (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ 5/24 (* 5/72 (pow eps 2)))))))))
(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/2 (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ 5/24 (+ (* 5/72 (pow eps 2)) (* (pow x 2) (+ 61/720 (* 61/2160 (pow eps 2))))))))))))
(* eps (+ 1 (* 1/3 (pow eps 2))))
(+ (* eps (* (pow x 2) (+ 1/2 (* 1/6 (pow eps 2))))) (* eps (+ 1 (* 1/3 (pow eps 2)))))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow x 2) (+ (* eps (* (pow x 2) (+ 5/24 (* 5/72 (pow eps 2))))) (* eps (+ 1/2 (* 1/6 (pow eps 2)))))))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow x 2) (+ (* eps (+ 1/2 (* 1/6 (pow eps 2)))) (* (pow x 2) (+ (* eps (* (pow x 2) (+ 61/720 (* 61/2160 (pow eps 2))))) (* eps (+ 5/24 (* 5/72 (pow eps 2)))))))))
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/2 (/ (sin eps) (cos eps))))) (cos eps)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* (pow x 2) (- (* -1/2 (/ (sin eps) (cos eps))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
(+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* 1/24 (/ (sin eps) (cos eps))) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
(+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (* (pow x 2) (- (+ (* 1/24 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* -1/720 (/ (sin eps) (cos eps))) (+ (* -2/15 (/ (sin eps) (cos eps))) (+ (* -1/120 (/ (sin eps) (cos eps))) (* 1/18 (/ (sin eps) (cos eps)))))))) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
eps
(+ eps (* eps (pow x 2)))
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (* -1/3 eps) (* -1 eps))))))
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (+ (* -1/3 eps) (* (pow x 2) (- (* 2/45 eps) (+ (* -1 (- (* -1/3 eps) (* -1 eps))) (* 1/3 eps))))) (* -1 eps))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(- (/ (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 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))))
(PI)
(+ (PI) (* 2 x))
(- 1/2 (* 1/2 (cos (PI))))
(- (+ 1/2 (* x (sin (PI)))) (* 1/2 (cos (PI))))
(- (+ 1/2 (* x (- (* x (cos (PI))) (* -1 (sin (PI)))))) (* 1/2 (cos (PI))))
(- (+ 1/2 (* x (- (* x (- (* -2/3 (* x (sin (PI)))) (* -1 (cos (PI))))) (* -1 (sin (PI)))))) (* 1/2 (cos (PI))))
(* 1/2 (cos (PI)))
(+ (* -1 (* x (sin (PI)))) (* 1/2 (cos (PI))))
(+ (* 1/2 (cos (PI))) (* x (+ (* -1 (sin (PI))) (* -1 (* x (cos (PI)))))))
(+ (* 1/2 (cos (PI))) (* x (+ (* -1 (sin (PI))) (* x (+ (* -1 (cos (PI))) (* 2/3 (* x (sin (PI)))))))))
(+ (* 1/2 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
1
(+ 1 (* -1 (/ (* x (sin eps)) (cos eps))))
(+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1/2 x))))
(+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* x (- (* x (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/2 (/ (sin eps) (cos eps))))) 1/2)))))
1/3
(+ 1/3 (* 1/6 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/6 (* 5/72 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/72 (* 61/2160 (pow x 2)))))))
(cos (PI))
(+ (cos (PI)) (* -2 (* x (sin (PI)))))
(+ (cos (PI)) (* x (- (* -2 (* x (cos (PI)))) (* 2 (sin (PI))))))
(+ (cos (PI)) (* x (- (* x (+ (* -2 (cos (PI))) (* 4/3 (* x (sin (PI)))))) (* 2 (sin (PI))))))
(* 1/2 (PI))
(+ x (* 1/2 (PI)))
(+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))
(* eps (+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))))
(/ (- (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(- (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(/ (sin (+ eps x)) (cos (+ eps x)))
x
(* x (+ 1 (/ eps x)))
(/ (sin (+ x (PI))) (cos (+ x (PI))))
(* 2 x)
(* x (+ 2 (/ (PI) x)))
(- 1/2 (* 1/2 (cos (* 2 (+ x (* 1/2 (PI)))))))
(* 1/2 (cos (* 2 (+ x (* 1/2 (PI))))))
(* 1/2 (/ (* (pow x 2) (sin eps)) (cos eps)))
(* (pow x 2) (+ (* 1/2 (/ (sin eps) (cos eps))) (/ (sin eps) (* (pow x 2) (cos eps)))))
(pow (sin x) 2)
(* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x))))
(cos (* 2 (+ x (* 1/2 (PI)))))
(* x (+ 1 (* 1/2 (/ (PI) x))))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x)))))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x))))
(* -1 (* x (- (* -1 (/ (PI) x)) 2)))
(- 1/2 (* 1/2 (cos (* 2 (- (* 1/2 (PI)) (* -1 x))))))
(* 1/2 (cos (* 2 (- (* 1/2 (PI)) (* -1 x)))))
(cos (* 2 (- (* 1/2 (PI)) (* -1 x))))
(* -1 (* x (- (* -1/2 (/ (PI) x)) 1)))
(+ (cos x) (/ (pow (sin x) 2) (cos x)))
(* eps (+ (cos x) (/ (pow (sin x) 2) (cos x))))
(/ (* eps (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (cos x))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))))) (pow (cos x) 2))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1/3 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2))))))) (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- (+ (cos x) (* (pow eps 2) (- (* 1/3 (cos x)) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (- (* 2/15 (cos x)) (* -2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (- (+ (* 2/15 (cos x)) (* (pow eps 2) (- (* 17/315 (cos x)) (* -17/315 (/ (pow (sin x) 2) (cos x)))))) (* -2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(- (/ (sin x) (cos x)) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(/ (sin x) (cos x))
(+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(* eps (+ 1 (* 1/2 (pow x 2))))
(* eps (+ 1 (+ (* 1/2 (pow x 2)) (* (pow eps 2) (+ 1/3 (* 1/2 (- (* -1/6 (pow x 2)) (* -1/2 (pow x 2)))))))))
(* eps (+ 1 (+ (* 1/2 (pow x 2)) (* (pow eps 2) (+ 1/3 (+ (* 1/2 (- (* -1/6 (pow x 2)) (* -1/2 (pow x 2)))) (* (pow eps 2) (+ 2/15 (* 1/2 (- (* 1/120 (pow x 2)) (+ (* -1/2 (- (* -1/6 (pow x 2)) (* -1/2 (pow x 2)))) (* 1/24 (pow x 2)))))))))))))
(* eps (+ 1 (+ (* 1/2 (pow x 2)) (* (pow eps 2) (+ 1/3 (+ (* 1/2 (- (* -1/6 (pow x 2)) (* -1/2 (pow x 2)))) (* (pow eps 2) (+ 2/15 (+ (* 1/2 (- (* 1/120 (pow x 2)) (+ (* -1/2 (- (* -1/6 (pow x 2)) (* -1/2 (pow x 2)))) (* 1/24 (pow x 2))))) (* (pow eps 2) (+ 17/315 (* 1/2 (- (* -1/5040 (pow x 2)) (+ (* -1/2 (- (* 1/120 (pow x 2)) (+ (* -1/2 (- (* -1/6 (pow x 2)) (* -1/2 (pow x 2)))) (* 1/24 (pow x 2))))) (+ (* -1/720 (pow x 2)) (* 1/24 (- (* -1/6 (pow x 2)) (* -1/2 (pow x 2)))))))))))))))))))
(cos x)
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (+ (* -1 (sin x)) (* -1/3 (* (pow eps 2) (sin x))))))
(+ (cos x) (* eps (+ (* -1 (sin x)) (* (pow eps 2) (+ (* -1/3 (sin x)) (* -2/15 (* (pow eps 2) (sin x))))))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x)))))
(* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (+ (/ (cos x) (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))
(* 1/3 (* (pow eps 3) (+ (cos x) (/ (pow (sin x) 2) (cos x)))))
(* (pow eps 3) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (+ (/ (cos x) (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))
(* eps (+ 1 (/ x eps)))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (cos x) (/ (pow (sin x) 2) (cos x))) (pow eps 2))) (* -1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))

Outputs
(+ 1 (* 1/3 (pow eps 2)))
(fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))
(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/2 (* 1/6 (pow eps 2))))))
(fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/3 binary64)) eps) eps (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/2 (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ 5/24 (* 5/72 (pow eps 2)))))))))
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 5/72 binary64) (.f64 eps eps) #s(literal 5/24 binary64)) x) x (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal 1/2 binary64))) (.f64 x x) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)))
(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/2 (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ 5/24 (+ (* 5/72 (pow eps 2)) (* (pow x 2) (+ 61/720 (* 61/2160 (pow eps 2))))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 5/72 binary64) eps) eps (fma.f64 (fma.f64 #s(literal 61/2160 binary64) (.f64 eps eps) #s(literal 61/720 binary64)) (.f64 x x) #s(literal 5/24 binary64))) (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal 1/2 binary64))) (.f64 x x) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)))
(* eps (+ 1 (* 1/3 (pow eps 2))))
(fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64) eps)
(+ (* eps (* (pow x 2) (+ 1/2 (* 1/6 (pow eps 2))))) (* eps (+ 1 (* 1/3 (pow eps 2)))))
(fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) eps) x) x (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64) eps))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow x 2) (+ (* eps (* (pow x 2) (+ 5/24 (* 5/72 (pow eps 2))))) (* eps (+ 1/2 (* 1/6 (pow eps 2)))))))
(fma.f64 (.f64 (.f64 x x) eps) (fma.f64 (.f64 (fma.f64 #s(literal 5/72 binary64) (.f64 eps eps) #s(literal 5/24 binary64)) x) x (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))) (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64) eps))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow x 2) (+ (* eps (+ 1/2 (* 1/6 (pow eps 2)))) (* (pow x 2) (+ (* eps (* (pow x 2) (+ 61/720 (* 61/2160 (pow eps 2))))) (* eps (+ 5/24 (* 5/72 (pow eps 2)))))))))
(fma.f64 (fma.f64 (.f64 (.f64 x x) eps) (fma.f64 (.f64 #s(literal 5/72 binary64) eps) eps (fma.f64 (fma.f64 #s(literal 61/2160 binary64) (.f64 eps eps) #s(literal 61/720 binary64)) (.f64 x x) #s(literal 5/24 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (.f64 x x) (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64) eps))
(/ (sin eps) (cos eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (* -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 x (+.f64 (/.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 (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/2 (/ (sin eps) (cos eps))))) (cos eps)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (+.f64 (fma.f64 (neg.f64 x) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 eps) (fma.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 eps)) (cos.f64 eps)))) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* (pow x 2) (- (* -1/2 (/ (sin eps) (cos eps))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
(/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 eps)) (.f64 x x) (sin.f64 eps)) (cos.f64 eps))
(+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* 1/24 (/ (sin eps) (cos eps))) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 5/24 binary64)) (.f64 x x) (/.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 eps)) (cos.f64 eps))) (.f64 x x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (* (pow x 2) (- (+ (* 1/24 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* -1/720 (/ (sin eps) (cos eps))) (+ (* -2/15 (/ (sin eps) (cos eps))) (+ (* -1/120 (/ (sin eps) (cos eps))) (* 1/18 (/ (sin eps) (cos eps)))))))) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal -1/720 binary64) (sin.f64 eps)) (cos.f64 eps)) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal -31/360 binary64))) (.f64 x x) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 5/24 binary64))) (.f64 x x) (/.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 eps)) (cos.f64 eps))) (*.f64 x x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps)) (cos.f64 eps)) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* 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 (fma.f64 (neg.f64 x) (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (+.f64 (fma.f64 (/.f64 (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 1/2 binary64))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps)) (cos.f64 eps))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
eps
(+ eps (* eps (pow x 2)))
(fma.f64 (*.f64 x x) eps eps)
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (* -1/3 eps) (* -1 eps))))))
(fma.f64 (fma.f64 (.f64 eps #s(literal 2/3 binary64)) (.f64 x x) eps) (*.f64 x x) eps)
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (+ (* -1/3 eps) (* (pow x 2) (- (* 2/45 eps) (+ (* -1 (- (* -1/3 eps) (* -1 eps))) (* 1/3 eps))))) (* -1 eps))))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/45 binary64) eps) (fma.f64 #s(literal 1/3 binary64) eps (.f64 eps #s(literal -2/3 binary64)))) (.f64 x x) (.f64 eps #s(literal 2/3 binary64))) (.f64 x x) eps) (.f64 x x) eps)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)
(- (/ (sin eps) (cos eps)) (/ (sin (PI)) (cos (PI))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(- (+ (* x (- (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(fma.f64 (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps)) (cos.f64 eps)) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (+ (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* x (- (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (fma.f64 (/.f64 (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 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps)) (cos.f64 eps))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
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(* 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)))))
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(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* eps (+ 1 (/ (pow (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)
(- (/ (sin x) (cos x)) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
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(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos 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))))) (/ (sin x) (cos x)))
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(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
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(* eps (+ 1 (* 1/2 (pow x 2))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) eps)
(* eps (+ 1 (+ (* 1/2 (pow x 2)) (* (pow eps 2) (+ 1/3 (* 1/2 (- (* -1/6 (pow x 2)) (* -1/2 (pow x 2)))))))))
(fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) eps) x) x (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64) eps))
(* eps (+ 1 (+ (* 1/2 (pow x 2)) (* (pow eps 2) (+ 1/3 (+ (* 1/2 (- (* -1/6 (pow x 2)) (* -1/2 (pow x 2)))) (* (pow eps 2) (+ 2/15 (* 1/2 (- (* 1/120 (pow x 2)) (+ (* -1/2 (- (* -1/6 (pow x 2)) (* -1/2 (pow x 2)))) (* 1/24 (pow x 2)))))))))))))
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(* eps (+ 1 (+ (* 1/2 (pow x 2)) (* (pow eps 2) (+ 1/3 (+ (* 1/2 (- (* -1/6 (pow x 2)) (* -1/2 (pow x 2)))) (* (pow eps 2) (+ 2/15 (+ (* 1/2 (- (* 1/120 (pow x 2)) (+ (* -1/2 (- (* -1/6 (pow x 2)) (* -1/2 (pow x 2)))) (* 1/24 (pow x 2))))) (* (pow eps 2) (+ 17/315 (* 1/2 (- (* -1/5040 (pow x 2)) (+ (* -1/2 (- (* 1/120 (pow x 2)) (+ (* -1/2 (- (* -1/6 (pow x 2)) (* -1/2 (pow x 2)))) (* 1/24 (pow x 2))))) (+ (* -1/720 (pow x 2)) (* 1/24 (- (* -1/6 (pow x 2)) (* -1/2 (pow x 2)))))))))))))))))))
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(cos x)
(cos.f64 x)
(+ (cos x) (* -1 (* eps (sin x))))
(fma.f64 (neg.f64 eps) (sin.f64 x) (cos.f64 x))
(+ (cos x) (* eps (+ (* -1 (sin x)) (* -1/3 (* (pow eps 2) (sin x))))))
(fma.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 #s(literal -1/3 binary64) eps) eps #s(literal -1 binary64))) eps (cos.f64 x))
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(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
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(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
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(* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x)))))
(.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (cos.f64 x)) (.f64 (*.f64 eps eps) #s(literal 1/3 binary64)))
(* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (+ (/ (cos x) (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))
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(* 1/3 (* (pow eps 3) (+ (cos x) (/ (pow (sin x) 2) (cos x)))))
(.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (cos.f64 x)))
(* (pow eps 3) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (+ (/ (cos x) (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))
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(* eps (+ 1 (/ x eps)))
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(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (cos x) (/ (pow (sin x) 2) (cos x))) (pow eps 2))) (* -1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))))))
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(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
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(/ (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)))

rewrite188.0ms (1.3%)

Memory

5.4MiB live, 233.4MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	446
0	109	405
1	435	367
2	3537	367
0	8046	355

Stop Event

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

Counts

26 → 468

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) (cos.f64 x)) (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) (cos.f64 x))) (pow.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal 2 binary64))) (-.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 x) (tan.f64 x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) #s(literal 2 binary64))) (-.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) (.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) (cos.f64 x)) (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) (cos.f64 x)) (-.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 x) (tan.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 (.f64 (.f64 eps eps) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) (-.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) (.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))) (pow.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))))
(/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 (.f64 (.f64 eps eps) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))))))
(/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 (.f64 (.f64 eps eps) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) (-.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) (.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))) (pow.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))
(fma.f64 (.f64 (.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) #s(literal 1/3 binary64)) (fabs.f64 eps)) (fabs.f64 eps) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))
(fma.f64 (.f64 (.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) #s(literal 1/3 binary64)) (neg.f64 eps)) (neg.f64 eps) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))
(fma.f64 (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (.f64 (.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))))
(fma.f64 (.f64 (.f64 eps eps) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))
(fma.f64 (.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) (.f64 #s(literal 1/3 binary64) eps)) eps (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))
(fma.f64 (fabs.f64 eps) (.f64 (fabs.f64 eps) (.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) #s(literal 1/3 binary64))) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))
(fma.f64 (neg.f64 eps) (.f64 (neg.f64 eps) (.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) #s(literal 1/3 binary64))) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))
(fma.f64 (.f64 eps eps) (.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))
(fma.f64 eps (.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) (.f64 #s(literal 1/3 binary64) eps)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))
(fma.f64 (.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) #s(literal 1/3 binary64)) (.f64 eps eps) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))
(fma.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))
(fma.f64 (sin.f64 x) (tan.f64 x) (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) (cos.f64 x)))
(fma.f64 #s(literal 1/3 binary64) (.f64 (.f64 eps eps) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))) (/.f64 (pow.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))))
(-.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) (.f64 (neg.f64 (.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) (*.f64 #s(literal 1/3 binary64) eps))) eps))
(-.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) (.f64 (neg.f64 (.f64 eps eps)) (*.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) #s(literal 1/3 binary64))))
(-.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) (.f64 (neg.f64 (.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) #s(literal 1/3 binary64))) (*.f64 eps eps)))
(-.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) (.f64 #s(literal -1/3 binary64) (.f64 (*.f64 eps eps) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))))
(+.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) (*.f64 (sin.f64 x) (tan.f64 x))) (cos.f64 x))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) (-.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) (.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))) (pow.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) (-.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) (.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))) (pow.f64 (.f64 (.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 x) (tan.f64 x)))
(+.f64 (.f64 (.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))
(+.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) (.f64 (.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))))
(+.f64 (.f64 (sin.f64 x) (tan.f64 x)) (fma.f64 (.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) (cos.f64 x)))
(+.f64 (cos.f64 x) (fma.f64 (sin.f64 x) (tan.f64 x) (.f64 (.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))))
(.f64 (fma.f64 (.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) eps)
(.f64 eps (fma.f64 (.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) #s(literal 2 binary64))) eps) (-.f64 (.f64 (.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))))
(/.f64 (.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 (.f64 (.f64 eps eps) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) #s(literal 3 binary64))) eps) (fma.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) (-.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) (.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))) (pow.f64 (.f64 (.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) #s(literal 2 binary64))))
(/.f64 (.f64 eps (-.f64 (pow.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) #s(literal 2 binary64)))) (-.f64 (.f64 (.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))))
(/.f64 (.f64 eps (fma.f64 #s(literal 1/27 binary64) (pow.f64 (.f64 (.f64 eps eps) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) (-.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) (.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))) (pow.f64 (.f64 (.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) #s(literal 2 binary64))))
(fma.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) (cos.f64 x)) eps (.f64 (.f64 (sin.f64 x) (tan.f64 x)) eps))
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(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 (sin.f64 x) (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(fma.f64 (sin.f64 (.f64 #s(literal -2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (+.f64 (cos.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(fma.f64 (fabs.f64 (sin.f64 x)) (fabs.f64 (sin.f64 x)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(fma.f64 (fabs.f64 (neg.f64 (sin.f64 x))) (fabs.f64 (neg.f64 (sin.f64 x))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(fma.f64 (exp.f64 (log.f64 (sin.f64 x))) (exp.f64 (log.f64 (sin.f64 x))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (cos.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (sin.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))))
(fma.f64 (cos.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (cos.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) (.f64 (sin.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (sin.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))))
(fma.f64 (cos.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (sin.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal -2 binary64) x))))
(fma.f64 (sin.f64 (.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal -2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) (.f64 (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (sin.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (cos.f64 x)) (cos.f64 x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(fma.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(fma.f64 (sin.f64 x) (sin.f64 x) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(fma.f64 (cos.f64 x) (neg.f64 (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(sin.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))
(sin.f64 (-.f64 (+.f64 (PI.f64) x) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))
(sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
(sin.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
(sin.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (.f64 (cos.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (cos.f64 (neg.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (sin.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (sin.f64 (neg.f64 (.f64 #s(literal 2 binary64) x)))))
(-.f64 (.f64 (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (cos.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) (sin.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(-.f64 (.f64 (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (cos.f64 (+.f64 x (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))) (.f64 (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (sin.f64 (+.f64 x (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))) (.f64 (sin.f64 x) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))))
(-.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))))
(-.f64 (.f64 (cos.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 2 binary64) x))) (.f64 (sin.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (sin.f64 (.f64 #s(literal 2 binary64) x))))
(-.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(cos.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
(cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))
(cos.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))
(cos.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
(cos.f64 (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 2 binary64)))
(+.f64 (.f64 (cos.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (cos.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))) (.f64 (sin.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (sin.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))))
(+.f64 (.f64 (cos.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal -2 binary64) x))) (.f64 (sin.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (sin.f64 (.f64 #s(literal -2 binary64) x))))
(+.f64 (.f64 (sin.f64 (.f64 #s(literal -2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (.f64 #s(literal -2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (.f64 (sin.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (cos.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))) (.f64 (cos.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (sin.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))))
(+.f64 (.f64 (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal -2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))) (.f64 (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (sin.f64 (.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 2 binary64)))))
(+.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (cos.f64 (.f64 #s(literal -2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) #s(literal 1/2 binary64)))
(+.f64 (.f64 (sin.f64 (.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (.f64 #s(literal -2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (neg.f64 (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)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))
(/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) x)
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
(+.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)
(+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 eps))))
(/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64))) (cos.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (neg.f64 (neg.f64 (cos.f64 eps))))
(/.f64 (+.f64 (tan.f64 eps) #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) #s(literal 0 binary64))))
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(neg.f64 (tan.f64 (neg.f64 eps)))
(neg.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))))
(tan.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64)))
(tan.f64 (+.f64 (PI.f64) eps))
(tan.f64 eps)

eval126.0ms (0.8%)

Memory: 19.7MiB live, 176.0MiB allocated; 11ms collecting garbage
Compiler: Compiled 35 350 to 3 939 computations (88.9% saved)

prune44.0ms (0.3%)

Memory

-11.5MiB live, 77.7MiB allocated; 8ms collecting garbage

Pruning

30 alts after pruning (25 fresh and 5 done)

	Pruned	Kept	Total
New	705	13	718
Fresh	4	12	16
Picked	3	2	5
Done	0	3	3
Total	712	30	742

Accuracy

100.0%

Counts

742 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.4%	(/.f64 (fma.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x) (.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)))) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
	63.5%	(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x)) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (-.f64 (.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)) #s(literal 1 binary64)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
▶	63.3%	(/.f64 (-.f64 (.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))) (.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
▶	99.2%	(/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (fma.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) eps)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
	98.9%	(/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (cos.f64 x)) eps)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
	97.9%	(/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) #s(approx (+ (* (* (* x x) 1/2) (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps) x) x (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64) eps)))) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
	97.9%	(/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) #s(approx (+ (* (* (* x x) 1/2) (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) eps))) (*.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
	63.4%	(-.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))
	2.9%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) (+.f64 (+.f64 (PI.f64) eps) (PI.f64)))) #s(approx (tan (+ (PI) x)) x))
▶	2.9%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) (+.f64 (PI.f64) eps))) #s(approx (tan (+ (PI) x)) x))
	2.9%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) eps)) #s(approx (tan (+ (PI) x)) x))
	2.8%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64)) x)) #s(approx (tan (+ (PI) x)) x))
✓	4.3%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))) (tan.f64 x))
✓	7.4%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
✓	63.3%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	61.8%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x)))
✓	61.5%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) x))
	7.8%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x)) eps eps))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (fma.f64 (cos.f64 (.f64 #s(literal -2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))))) eps eps))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x x)))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))))) eps eps))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))))) eps eps))
	98.1%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (pow (sin x) 2) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/315 binary64) (.f64 x x) #s(literal 2/45 binary64)) x) x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))))) eps eps))
	98.1%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (pow (sin x) 2) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))))) eps eps))
	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
▶	97.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
✓	97.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (*.f64 x x)) eps eps))
▶	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) eps))

Compiler

Compiled 1 740 to 1 086 computations (37.6% saved)

simplify117.0ms (0.8%)

Memory

-13.8MiB live, 129.1MiB allocated; 13ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 (+.f64 eps x))
cost-diff	0	(*.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x)))
cost-diff	2	(-.f64 (.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))) (.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x))))
cost-diff	9	(/.f64 (-.f64 (.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))) (.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
cost-diff	0	(tan.f64 x)
cost-diff	0	(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
cost-diff	0	(*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) eps)
cost-diff	0	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) eps))
cost-diff	1	(+.f64 (PI.f64) (+.f64 (PI.f64) x))
cost-diff	2	(+.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) x)) (PI.f64))
cost-diff	2	(+.f64 (+.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) (+.f64 (PI.f64) eps))
cost-diff	3	(tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) (+.f64 (PI.f64) eps)))
cost-diff	0	#s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
cost-diff	0	(fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)) eps eps)
cost-diff	0	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
cost-diff	2	(.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (fma.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) eps))
cost-diff	0	(/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (fma.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) eps)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
cost-diff	2	(.f64 (fma.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) eps)
cost-diff	6	(fma.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	483
0	116	479
1	226	457
2	612	431
3	2202	413
4	7693	413
0	8039	397

Stop Event

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

Calls

Call 1

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

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

localize564.0ms (3.8%)

Memory

45.8MiB live, 526.7MiB allocated; 53ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.015625	(*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x)))
accuracy	0.045448480664733275	(cos.f64 (+.f64 eps x))
accuracy	0.1114878714029668	(sin.f64 (+.f64 eps x))
accuracy	23.357957255176725	(-.f64 (.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))) (.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x))))
accuracy	0.0	(tan.f64 x)
accuracy	0.00390625	(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
accuracy	0.01171875	(*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) eps)
accuracy	0.8300206697428195	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) eps))
accuracy	0.01953125	(+.f64 (PI.f64) (+.f64 (PI.f64) x))
accuracy	1.5948863282148535	#s(approx (tan (+ (PI) x)) x)
accuracy	23.36640774127336	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) (+.f64 (PI.f64) eps))) #s(approx (tan (+ (PI) x)) x))
accuracy	59.08366195124703	(tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) (+.f64 (PI.f64) eps)))
accuracy	0.015625	(.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)
accuracy	0.0234375	(.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) x)
accuracy	0.8300206697428195	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
accuracy	1.3079470385522218	#s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
accuracy	0.01171875	(.f64 (fma.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) eps)
accuracy	0.015625	(*.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x))
accuracy	0.16015625	(.f64 #s(literal 1/3 binary64) (.f64 eps eps))
accuracy	0.5309334012122944	#s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (fma.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) eps))

Samples

457.0ms	250×	1	valid
39.0ms	2×	3	valid
4.0ms	1×	2	valid
2.0ms	3×	0	valid

Compiler

Compiled 398 to 62 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 445.0ms

ival-tan: 212.0ms (47.6% of total)

adjust: 101.0ms (22.7% of total)

ival-mult: 44.0ms (9.9% of total)

ival-add: 29.0ms (6.5% of total)

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

ival-div: 9.0ms (2% of total)

ival-sub: 9.0ms (2% of total)

ival-pow2: 9.0ms (2% of total)

const: 7.0ms (1.6% of total)

ival-sin: 7.0ms (1.6% of total)

ival-neg: 6.0ms (1.3% 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)

series99.0ms (0.7%)

Memory

-21.2MiB live, 68.3MiB allocated; 12ms collecting garbage

Counts

27 → 185

Calls

Call 1

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

Outputs
(+ 1 (* 1/3 (pow eps 2)))
(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/2 (* 1/6 (pow eps 2))))))
(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/2 (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ 5/24 (* 5/72 (pow eps 2)))))))))
(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/2 (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ 5/24 (+ (* 5/72 (pow eps 2)) (* (pow x 2) (+ 61/720 (* 61/2160 (pow eps 2))))))))))))
(* eps (+ 1 (* 1/3 (pow eps 2))))
(+ (* eps (* (pow x 2) (+ 1/2 (* 1/6 (pow eps 2))))) (* eps (+ 1 (* 1/3 (pow eps 2)))))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow x 2) (+ (* eps (* (pow x 2) (+ 5/24 (* 5/72 (pow eps 2))))) (* eps (+ 1/2 (* 1/6 (pow eps 2)))))))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow x 2) (+ (* eps (+ 1/2 (* 1/6 (pow eps 2)))) (* (pow x 2) (+ (* eps (* (pow x 2) (+ 61/720 (* 61/2160 (pow eps 2))))) (* eps (+ 5/24 (* 5/72 (pow eps 2)))))))))
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/2 (/ (sin eps) (cos eps))))) (cos eps)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* (pow x 2) (- (* -1/2 (/ (sin eps) (cos eps))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
(+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* 1/24 (/ (sin eps) (cos eps))) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
(+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (* (pow x 2) (- (+ (* 1/24 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* -1/720 (/ (sin eps) (cos eps))) (+ (* -2/15 (/ (sin eps) (cos eps))) (+ (* -1/120 (/ (sin eps) (cos eps))) (* 1/18 (/ (sin eps) (cos eps)))))))) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
x
(* x (+ 1 (* 2/3 (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)))
eps
(+ eps (* eps (pow x 2)))
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (* -1/3 eps) (* -1 eps))))))
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (+ (* -1/3 eps) (* (pow x 2) (- (* 2/45 eps) (+ (* -1 (- (* -1/3 eps) (* -1 eps))) (* 1/3 eps))))) (* -1 eps))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(/ (sin (+ eps (* 4 (PI)))) (cos (+ eps (* 4 (PI)))))
(+ (* x (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (/ (sin (+ eps (* 4 (PI)))) (cos (+ eps (* 4 (PI))))))
(+ (* x (- (+ 1 (/ (* x (* (sin (+ eps (* 4 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2)))))) (cos (+ eps (* 4 (PI)))))) (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (/ (sin (+ eps (* 4 (PI)))) (cos (+ eps (* 4 (PI))))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ eps (* 4 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (pow (cos (+ eps (* 4 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ eps (* 4 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (cos (+ eps (* 4 (PI))))))))) (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (/ (sin (+ eps (* 4 (PI)))) (cos (+ eps (* 4 (PI))))))
(+ eps (* 4 (PI)))
(+ eps (+ x (* 4 (PI))))
(+ (PI) (* 2 (PI)))
(+ x (+ (PI) (* 2 (PI))))
(* 2 (PI))
(+ x (* 2 (PI)))
(+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2))))))
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (+ (* 17/45 (* eps (pow x 2))) (* 2/3 eps))))))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(* 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) (cos eps)) (/ (pow (sin eps) 3) (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(+ (* x (+ (* x (+ (* x (+ (* -1 (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (/ (sin eps) (cos eps)) (/ (pow (sin eps) 3) (pow (cos eps) 3)))) (cos eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (+ (/ (sin eps) (cos eps)) (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(* -1 (sin eps))
(+ (* -1 (sin eps)) (* (pow x 4) (- (* -1 (+ (* 1/12 (sin eps)) (* 1/4 (sin eps)))) (* -1/3 (sin eps)))))
(+ (* -1 (sin eps)) (* (pow x 4) (- (+ (* -1 (+ (* 1/12 (sin eps)) (* 1/4 (sin eps)))) (* (pow x 2) (- (* -1 (+ (* -1/24 (sin eps)) (* -1/360 (sin eps)))) (* -1 (+ (* -1/36 (sin eps)) (* -1/60 (sin eps))))))) (* -1/3 (sin eps)))))
(+ (* -1 (sin eps)) (* (pow x 4) (- (+ (* -1 (+ (* 1/12 (sin eps)) (* 1/4 (sin eps)))) (* (pow x 2) (- (+ (* -1 (+ (* -1/24 (sin eps)) (* -1/360 (sin eps)))) (* (pow x 2) (- (* -1 (+ (* 1/20160 (sin eps)) (+ (* 1/720 (sin eps)) (* 1/576 (sin eps))))) (* -1 (+ (* 1/2520 (sin eps)) (* 1/360 (sin eps))))))) (* -1 (+ (* -1/36 (sin eps)) (* -1/60 (sin eps))))))) (* -1/3 (sin eps)))))
(+ (* -1 (sin eps)) (* -1 (* x (cos eps))))
(+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (sin eps)))))
(+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (sin eps) (* -1 (* x (+ (* -1/2 (cos eps)) (* -1/6 (cos eps))))))))))
(sin eps)
(+ (sin eps) (* x (cos eps)))
(+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))
(+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))
(+ 1 (* -1 (/ (* x (sin eps)) (cos eps))))
(+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1/2 x))))
(+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* x (- (* x (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/2 (/ (sin eps) (cos eps))))) 1/2)))))
(- (/ (sin (+ eps (* 4 (PI)))) (cos (+ eps (* 4 (PI))))) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (/ (sin (+ eps (* 4 (PI)))) (cos (+ eps (* 4 (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 (* 4 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (cos (+ eps (* 4 (PI))))))))) (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (/ (sin (+ eps (* 4 (PI)))) (cos (+ eps (* 4 (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 (* 4 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (pow (cos (+ eps (* 4 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ eps (* 4 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (cos (+ eps (* 4 (PI))))))))) (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (/ (sin (+ eps (* 4 (PI)))) (cos (+ eps (* 4 (PI)))))) (/ (sin (PI)) (cos (PI))))
(/ (sin (PI)) (cos (PI)))
(+ (* x (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(+ (* x (- (+ 1 (/ (* x (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))))) (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI))))))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(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))))
(* -1 (cos eps))
(+ (* -1 (cos eps)) (* x (sin eps)))
(+ (* -1 (cos eps)) (* x (+ (sin eps) (* x (cos eps)))))
(+ (* -1 (cos eps)) (* x (+ (sin eps) (* x (+ (cos eps) (* -1 (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps))))))))))
(+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))
(* eps (+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))))
(/ (- (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(- (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(* 2/3 (pow x 3))
(* (pow x 3) (+ 2/3 (/ 1 (pow x 2))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (sin (+ eps (+ x (* 4 (PI))))) (cos (+ eps (+ x (* 4 (PI))))))
(* x (+ 1 (+ (* 4 (/ (PI) x)) (/ eps x))))
(* x (+ 1 (+ (* 2 (/ (PI) x)) (/ (PI) x))))
(* x (+ 1 (* 2 (/ (PI) x))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(/ (sin x) (cos x))
(* -1 (/ (- (* -1 (* (cos x) (sin (+ eps x)))) (* -1 (* (cos (+ eps x)) (sin x)))) (* (cos x) (cos (+ eps x)))))
(- (* -1 (* (cos x) (sin (+ eps x)))) (* -1 (* (cos (+ eps x)) (sin x))))
(* -1 (* (cos x) (sin (+ eps x))))
(sin (+ eps x))
(* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(* 2/3 (pow x 4))
(* (pow x 4) (+ 2/3 (/ 1 (pow x 2))))
(- (/ (sin (+ eps (+ x (* 4 (PI))))) (cos (+ eps (+ x (* 4 (PI)))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(/ (sin (+ x (PI))) (cos (+ x (PI))))
(cos (+ eps x))
(* -1 (* (cos x) (cos (+ eps x))))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(/ (sin (- (+ eps (* 4 (PI))) (* -1 x))) (cos (- (+ eps (* 4 (PI))) (* -1 x))))
(* -1 (* x (- (* -1 (/ (+ eps (* 4 (PI))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (PI) (* 2 (PI))) x)) 1)))
(* -1 (* x (- (* -2 (/ (PI) x)) 1)))
(* -1 (/ (- (* -1 (* (cos x) (sin (- eps (* -1 x))))) (* -1 (* (cos (- eps (* -1 x))) (sin x)))) (* (cos x) (cos (- eps (* -1 x))))))
(- (* -1 (* (cos x) (sin (- eps (* -1 x))))) (* -1 (* (cos (- eps (* -1 x))) (sin x))))
(* -1 (* (cos x) (sin (- eps (* -1 x)))))
(sin (- eps (* -1 x)))
(- (/ (sin (- (+ eps (* 4 (PI))) (* -1 x))) (cos (- (+ eps (* 4 (PI))) (* -1 x)))) (/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x)))))
(/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x))))
(cos (- eps (* -1 x)))
(* -1 (* (cos x) (cos (- eps (* -1 x)))))
(+ (cos x) (/ (pow (sin x) 2) (cos x)))
(* eps (+ (cos x) (/ (pow (sin x) 2) (cos x))))
(/ (* eps (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (cos x))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))))) (pow (cos x) 2))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1/3 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2))))))) (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- (+ (cos x) (* (pow eps 2) (- (* 1/3 (cos x)) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (- (* 2/15 (cos x)) (* -2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (- (+ (* 2/15 (cos x)) (* (pow eps 2) (- (* 17/315 (cos x)) (* -17/315 (/ (pow (sin x) 2) (cos x)))))) (* -2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI)))))
(+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI))))))
(+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (* 4 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2)))))) (cos (+ x (* 4 (PI)))))) (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI))))))
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (* 4 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (pow (cos (+ x (* 4 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ x (* 4 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (cos (+ x (* 4 (PI))))))))) (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI))))))
(+ x (* 4 (PI)))
(* -1 (/ (* eps (- (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 2)))
(* eps (+ (* -1 (/ (* eps (* (sin x) (- (* -1 (pow (cos x) 2)) (pow (sin x) 2)))) (pow (cos x) 3))) (* -1 (/ (- (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2)))))
(* eps (+ (* -1 (/ (- (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (* eps (+ (* -1 (* eps (- 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))) (+ (* -1/2 (/ (- (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (* -1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 3)))))))
(* eps (+ (* -1 (/ (- (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (* eps (+ (* -1 (/ (* (sin x) (- (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 3))) (* eps (+ (* -1 (- 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))) (+ (* -1/2 (/ (- (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (* -1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* eps (+ (* -1 (/ (* (sin x) (- 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))) (+ (* -1/2 (/ (- (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (* -1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x))) (+ (* -1/2 (/ (* (sin x) (- (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 3))) (* 1/6 (/ (* (sin x) (- (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 3))))))))))))
(* eps (- (* -1 (pow (cos x) 2)) (pow (sin x) 2)))
(* eps (- (+ (* -1 (pow (cos x) 2)) (* (pow eps 2) (- (* 1/6 (pow (cos x) 2)) (* -1/6 (pow (sin x) 2))))) (pow (sin x) 2)))
(* eps (- (+ (* -1 (pow (cos x) 2)) (* (pow eps 2) (- (+ (* 1/6 (pow (cos x) 2)) (* (pow eps 2) (- (* -1/120 (pow (cos x) 2)) (* 1/120 (pow (sin x) 2))))) (* -1/6 (pow (sin x) 2))))) (pow (sin x) 2)))
(* eps (- (+ (* -1 (pow (cos x) 2)) (* (pow eps 2) (- (+ (* 1/6 (pow (cos x) 2)) (* (pow eps 2) (- (+ (* -1/120 (pow (cos x) 2)) (* (pow eps 2) (- (* 1/5040 (pow (cos x) 2)) (* -1/5040 (pow (sin x) 2))))) (* 1/120 (pow (sin x) 2))))) (* -1/6 (pow (sin x) 2))))) (pow (sin x) 2)))
(* -1 (* (cos x) (sin x)))
(+ (* -1 (* eps (pow (cos x) 2))) (* -1 (* (cos x) (sin x))))
(+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1 (pow (cos x) 2)) (* 1/2 (* eps (* (cos x) (sin x)))))))
(+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1 (pow (cos x) 2)) (* eps (+ (* 1/6 (* eps (pow (cos x) 2))) (* 1/2 (* (cos x) (sin x))))))))
(sin x)
(+ (sin x) (* eps (cos x)))
(+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))
(+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
(* 1/3 (pow eps 2))
(cos x)
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (+ (* -1 (sin x)) (* -1/3 (* (pow eps 2) (sin x))))))
(+ (cos x) (* eps (+ (* -1 (sin x)) (* (pow eps 2) (+ (* -1/3 (sin x)) (* -2/15 (* (pow eps 2) (sin x))))))))
(- (/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI)))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (* 4 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2)))))) (cos (+ x (* 4 (PI)))))) (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI)))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (* 4 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (pow (cos (+ x (* 4 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ x (* 4 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (cos (+ x (* 4 (PI))))))))) (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI)))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(+ (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))))
(* -1 (pow (cos x) 2))
(+ (* -1 (pow (cos x) 2)) (* eps (* (cos x) (sin x))))
(+ (* -1 (pow (cos x) 2)) (* eps (+ (* 1/2 (* eps (pow (cos x) 2))) (* (cos x) (sin x)))))
(+ (* -1 (pow (cos x) 2)) (* eps (+ (* eps (+ (* -1/6 (* eps (* (cos x) (sin x)))) (* 1/2 (pow (cos x) 2)))) (* (cos x) (sin x)))))
(* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x)))))
(* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (+ (/ (cos x) (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))
(* 1/3 (* (pow eps 3) (+ (cos x) (/ (pow (sin x) 2) (cos x)))))
(* (pow eps 3) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (+ (/ (cos x) (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))
(* eps (+ 1 (+ (* 4 (/ (PI) eps)) (/ x eps))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (cos x) (/ (pow (sin x) 2) (cos x))) (pow eps 2))) (* -1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
(/ (sin (- (+ x (* 4 (PI))) (* -1 eps))) (cos (- (+ x (* 4 (PI))) (* -1 eps))))
(* -1 (* eps (- (* -1 (/ (+ x (* 4 (PI))) eps)) 1)))
(* -1 (/ (- (* -1 (* (cos x) (sin (- x (* -1 eps))))) (* -1 (* (cos (- x (* -1 eps))) (sin x)))) (* (cos x) (cos (- x (* -1 eps))))))
(- (* -1 (* (cos x) (sin (- x (* -1 eps))))) (* -1 (* (cos (- x (* -1 eps))) (sin x))))
(* -1 (* (cos x) (sin (- x (* -1 eps)))))
(sin (- x (* -1 eps)))
(- (/ (sin (- (+ x (* 4 (PI))) (* -1 eps))) (cos (- (+ x (* 4 (PI))) (* -1 eps)))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(cos (- x (* -1 eps)))
(* -1 (* (cos x) (cos (- x (* -1 eps)))))

Calls

6 calls:

Time	Variable		Point	Expression
32.0ms	eps	@	-inf	((+ (* (+ (* (sin x) (tan x)) (cos x)) (* 1/3 (* eps eps))) (+ (* (sin x) (tan x)) (cos x))) (* (+ (* (+ (* (sin x) (tan x)) (cos x)) (* 1/3 (* eps eps))) (+ (* (sin x) (tan x)) (cos x))) eps) (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (* (neg (tan x)) (tan eps)) 1) (cos x))) (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (* 2/3 (* x x)) 1) x) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (tan (+ (+ (+ (PI) (+ (PI) x)) (PI)) (+ (PI) eps))) (+ (+ (+ (PI) (+ (PI) x)) (PI)) (+ (PI) eps)) (+ (+ (PI) (+ (PI) x)) (PI)) (+ (PI) (+ (PI) x)) (- (tan (+ x eps)) (tan x)) (* (+ (* (tan x) (tan x)) 1) eps) (+ (* (tan x) (tan x)) 1) (tan x) (/ (- (* (sin (+ eps x)) (neg (cos x))) (* (cos (+ eps x)) (neg (sin x)))) (* (cos (+ eps x)) (neg (cos x)))) (- (* (sin (+ eps x)) (neg (cos x))) (* (cos (+ eps x)) (neg (sin x)))) (* (sin (+ eps x)) (neg (cos x))) (sin (+ eps x)) (* 1/3 (* eps eps)) (* (+ (* (neg (tan x)) (tan eps)) 1) (cos x)) (* (* (+ (* 2/3 (* x x)) 1) x) x) (- (tan (+ (+ (+ (PI) (+ (PI) x)) (PI)) (+ (PI) eps))) (tan (+ (PI) x))) (tan (+ (PI) x)) (cos (+ eps x)) (* (cos (+ eps x)) (neg (cos x))))
9.0ms	x	@	-inf	((+ (* (+ (* (sin x) (tan x)) (cos x)) (* 1/3 (* eps eps))) (+ (* (sin x) (tan x)) (cos x))) (* (+ (* (+ (* (sin x) (tan x)) (cos x)) (* 1/3 (* eps eps))) (+ (* (sin x) (tan x)) (cos x))) eps) (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (* (neg (tan x)) (tan eps)) 1) (cos x))) (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (* 2/3 (* x x)) 1) x) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (tan (+ (+ (+ (PI) (+ (PI) x)) (PI)) (+ (PI) eps))) (+ (+ (+ (PI) (+ (PI) x)) (PI)) (+ (PI) eps)) (+ (+ (PI) (+ (PI) x)) (PI)) (+ (PI) (+ (PI) x)) (- (tan (+ x eps)) (tan x)) (* (+ (* (tan x) (tan x)) 1) eps) (+ (* (tan x) (tan x)) 1) (tan x) (/ (- (* (sin (+ eps x)) (neg (cos x))) (* (cos (+ eps x)) (neg (sin x)))) (* (cos (+ eps x)) (neg (cos x)))) (- (* (sin (+ eps x)) (neg (cos x))) (* (cos (+ eps x)) (neg (sin x)))) (* (sin (+ eps x)) (neg (cos x))) (sin (+ eps x)) (* 1/3 (* eps eps)) (* (+ (* (neg (tan x)) (tan eps)) 1) (cos x)) (* (* (+ (* 2/3 (* x x)) 1) x) x) (- (tan (+ (+ (+ (PI) (+ (PI) x)) (PI)) (+ (PI) eps))) (tan (+ (PI) x))) (tan (+ (PI) x)) (cos (+ eps x)) (* (cos (+ eps x)) (neg (cos x))))
9.0ms	x	@	inf	((+ (* (+ (* (sin x) (tan x)) (cos x)) (* 1/3 (* eps eps))) (+ (* (sin x) (tan x)) (cos x))) (* (+ (* (+ (* (sin x) (tan x)) (cos x)) (* 1/3 (* eps eps))) (+ (* (sin x) (tan x)) (cos x))) eps) (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (* (neg (tan x)) (tan eps)) 1) (cos x))) (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (* 2/3 (* x x)) 1) x) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (tan (+ (+ (+ (PI) (+ (PI) x)) (PI)) (+ (PI) eps))) (+ (+ (+ (PI) (+ (PI) x)) (PI)) (+ (PI) eps)) (+ (+ (PI) (+ (PI) x)) (PI)) (+ (PI) (+ (PI) x)) (- (tan (+ x eps)) (tan x)) (* (+ (* (tan x) (tan x)) 1) eps) (+ (* (tan x) (tan x)) 1) (tan x) (/ (- (* (sin (+ eps x)) (neg (cos x))) (* (cos (+ eps x)) (neg (sin x)))) (* (cos (+ eps x)) (neg (cos x)))) (- (* (sin (+ eps x)) (neg (cos x))) (* (cos (+ eps x)) (neg (sin x)))) (* (sin (+ eps x)) (neg (cos x))) (sin (+ eps x)) (* 1/3 (* eps eps)) (* (+ (* (neg (tan x)) (tan eps)) 1) (cos x)) (* (* (+ (* 2/3 (* x x)) 1) x) x) (- (tan (+ (+ (+ (PI) (+ (PI) x)) (PI)) (+ (PI) eps))) (tan (+ (PI) x))) (tan (+ (PI) x)) (cos (+ eps x)) (* (cos (+ eps x)) (neg (cos x))))
9.0ms	eps	@	0	((+ (* (+ (* (sin x) (tan x)) (cos x)) (* 1/3 (* eps eps))) (+ (* (sin x) (tan x)) (cos x))) (* (+ (* (+ (* (sin x) (tan x)) (cos x)) (* 1/3 (* eps eps))) (+ (* (sin x) (tan x)) (cos x))) eps) (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (* (neg (tan x)) (tan eps)) 1) (cos x))) (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (* 2/3 (* x x)) 1) x) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (tan (+ (+ (+ (PI) (+ (PI) x)) (PI)) (+ (PI) eps))) (+ (+ (+ (PI) (+ (PI) x)) (PI)) (+ (PI) eps)) (+ (+ (PI) (+ (PI) x)) (PI)) (+ (PI) (+ (PI) x)) (- (tan (+ x eps)) (tan x)) (* (+ (* (tan x) (tan x)) 1) eps) (+ (* (tan x) (tan x)) 1) (tan x) (/ (- (* (sin (+ eps x)) (neg (cos x))) (* (cos (+ eps x)) (neg (sin x)))) (* (cos (+ eps x)) (neg (cos x)))) (- (* (sin (+ eps x)) (neg (cos x))) (* (cos (+ eps x)) (neg (sin x)))) (* (sin (+ eps x)) (neg (cos x))) (sin (+ eps x)) (* 1/3 (* eps eps)) (* (+ (* (neg (tan x)) (tan eps)) 1) (cos x)) (* (* (+ (* 2/3 (* x x)) 1) x) x) (- (tan (+ (+ (+ (PI) (+ (PI) x)) (PI)) (+ (PI) eps))) (tan (+ (PI) x))) (tan (+ (PI) x)) (cos (+ eps x)) (* (cos (+ eps x)) (neg (cos x))))
9.0ms	eps	@	inf	((+ (* (+ (* (sin x) (tan x)) (cos x)) (* 1/3 (* eps eps))) (+ (* (sin x) (tan x)) (cos x))) (* (+ (* (+ (* (sin x) (tan x)) (cos x)) (* 1/3 (* eps eps))) (+ (* (sin x) (tan x)) (cos x))) eps) (/ (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (* (neg (tan x)) (tan eps)) 1) (cos x))) (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (* (+ (* 2/3 (* x x)) 1) x) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (tan (+ (+ (+ (PI) (+ (PI) x)) (PI)) (+ (PI) eps))) (+ (+ (+ (PI) (+ (PI) x)) (PI)) (+ (PI) eps)) (+ (+ (PI) (+ (PI) x)) (PI)) (+ (PI) (+ (PI) x)) (- (tan (+ x eps)) (tan x)) (* (+ (* (tan x) (tan x)) 1) eps) (+ (* (tan x) (tan x)) 1) (tan x) (/ (- (* (sin (+ eps x)) (neg (cos x))) (* (cos (+ eps x)) (neg (sin x)))) (* (cos (+ eps x)) (neg (cos x)))) (- (* (sin (+ eps x)) (neg (cos x))) (* (cos (+ eps x)) (neg (sin x)))) (* (sin (+ eps x)) (neg (cos x))) (sin (+ eps x)) (* 1/3 (* eps eps)) (* (+ (* (neg (tan x)) (tan eps)) 1) (cos x)) (* (* (+ (* 2/3 (* x x)) 1) x) x) (- (tan (+ (+ (+ (PI) (+ (PI) x)) (PI)) (+ (PI) eps))) (tan (+ (PI) x))) (tan (+ (PI) x)) (cos (+ eps x)) (* (cos (+ eps x)) (neg (cos x))))

simplify170.0ms (1.1%)

Memory

18.5MiB live, 205.4MiB allocated; 23ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	925	5035
1	3378	4993
0	8878	4612

Stop Event

1×	iter limit
1×	node limit

Counts

185 → 183

Calls

Call 1

Inputs
(+ 1 (* 1/3 (pow eps 2)))
(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/2 (* 1/6 (pow eps 2))))))
(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/2 (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ 5/24 (* 5/72 (pow eps 2)))))))))
(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/2 (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ 5/24 (+ (* 5/72 (pow eps 2)) (* (pow x 2) (+ 61/720 (* 61/2160 (pow eps 2))))))))))))
(* eps (+ 1 (* 1/3 (pow eps 2))))
(+ (* eps (* (pow x 2) (+ 1/2 (* 1/6 (pow eps 2))))) (* eps (+ 1 (* 1/3 (pow eps 2)))))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow x 2) (+ (* eps (* (pow x 2) (+ 5/24 (* 5/72 (pow eps 2))))) (* eps (+ 1/2 (* 1/6 (pow eps 2)))))))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow x 2) (+ (* eps (+ 1/2 (* 1/6 (pow eps 2)))) (* (pow x 2) (+ (* eps (* (pow x 2) (+ 61/720 (* 61/2160 (pow eps 2))))) (* eps (+ 5/24 (* 5/72 (pow eps 2)))))))))
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/2 (/ (sin eps) (cos eps))))) (cos eps)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* (pow x 2) (- (* -1/2 (/ (sin eps) (cos eps))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
(+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* 1/24 (/ (sin eps) (cos eps))) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
(+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (* (pow x 2) (- (+ (* 1/24 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* -1/720 (/ (sin eps) (cos eps))) (+ (* -2/15 (/ (sin eps) (cos eps))) (+ (* -1/120 (/ (sin eps) (cos eps))) (* 1/18 (/ (sin eps) (cos eps)))))))) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
x
(* x (+ 1 (* 2/3 (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)))
eps
(+ eps (* eps (pow x 2)))
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (* -1/3 eps) (* -1 eps))))))
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (+ (* -1/3 eps) (* (pow x 2) (- (* 2/45 eps) (+ (* -1 (- (* -1/3 eps) (* -1 eps))) (* 1/3 eps))))) (* -1 eps))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(/ (sin (+ eps (* 4 (PI)))) (cos (+ eps (* 4 (PI)))))
(+ (* x (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (/ (sin (+ eps (* 4 (PI)))) (cos (+ eps (* 4 (PI))))))
(+ (* x (- (+ 1 (/ (* x (* (sin (+ eps (* 4 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2)))))) (cos (+ eps (* 4 (PI)))))) (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (/ (sin (+ eps (* 4 (PI)))) (cos (+ eps (* 4 (PI))))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ eps (* 4 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (pow (cos (+ eps (* 4 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ eps (* 4 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (cos (+ eps (* 4 (PI))))))))) (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (/ (sin (+ eps (* 4 (PI)))) (cos (+ eps (* 4 (PI))))))
(+ eps (* 4 (PI)))
(+ eps (+ x (* 4 (PI))))
(+ (PI) (* 2 (PI)))
(+ x (+ (PI) (* 2 (PI))))
(* 2 (PI))
(+ x (* 2 (PI)))
(+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2))))))
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (+ (* 17/45 (* eps (pow x 2))) (* 2/3 eps))))))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(* 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) (cos eps)) (/ (pow (sin eps) 3) (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(+ (* x (+ (* x (+ (* x (+ (* -1 (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (/ (sin eps) (cos eps)) (/ (pow (sin eps) 3) (pow (cos eps) 3)))) (cos eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (+ (/ (sin eps) (cos eps)) (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(* -1 (sin eps))
(+ (* -1 (sin eps)) (* (pow x 4) (- (* -1 (+ (* 1/12 (sin eps)) (* 1/4 (sin eps)))) (* -1/3 (sin eps)))))
(+ (* -1 (sin eps)) (* (pow x 4) (- (+ (* -1 (+ (* 1/12 (sin eps)) (* 1/4 (sin eps)))) (* (pow x 2) (- (* -1 (+ (* -1/24 (sin eps)) (* -1/360 (sin eps)))) (* -1 (+ (* -1/36 (sin eps)) (* -1/60 (sin eps))))))) (* -1/3 (sin eps)))))
(+ (* -1 (sin eps)) (* (pow x 4) (- (+ (* -1 (+ (* 1/12 (sin eps)) (* 1/4 (sin eps)))) (* (pow x 2) (- (+ (* -1 (+ (* -1/24 (sin eps)) (* -1/360 (sin eps)))) (* (pow x 2) (- (* -1 (+ (* 1/20160 (sin eps)) (+ (* 1/720 (sin eps)) (* 1/576 (sin eps))))) (* -1 (+ (* 1/2520 (sin eps)) (* 1/360 (sin eps))))))) (* -1 (+ (* -1/36 (sin eps)) (* -1/60 (sin eps))))))) (* -1/3 (sin eps)))))
(+ (* -1 (sin eps)) (* -1 (* x (cos eps))))
(+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (sin eps)))))
(+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (sin eps) (* -1 (* x (+ (* -1/2 (cos eps)) (* -1/6 (cos eps))))))))))
(sin eps)
(+ (sin eps) (* x (cos eps)))
(+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))
(+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))
(+ 1 (* -1 (/ (* x (sin eps)) (cos eps))))
(+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1/2 x))))
(+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* x (- (* x (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/2 (/ (sin eps) (cos eps))))) 1/2)))))
(- (/ (sin (+ eps (* 4 (PI)))) (cos (+ eps (* 4 (PI))))) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (/ (sin (+ eps (* 4 (PI)))) (cos (+ eps (* 4 (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 (* 4 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (cos (+ eps (* 4 (PI))))))))) (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (/ (sin (+ eps (* 4 (PI)))) (cos (+ eps (* 4 (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 (* 4 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (pow (cos (+ eps (* 4 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ eps (* 4 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (cos (+ eps (* 4 (PI))))))))) (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (/ (sin (+ eps (* 4 (PI)))) (cos (+ eps (* 4 (PI)))))) (/ (sin (PI)) (cos (PI))))
(/ (sin (PI)) (cos (PI)))
(+ (* x (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(+ (* x (- (+ 1 (/ (* x (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))))) (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI))))))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(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))))
(* -1 (cos eps))
(+ (* -1 (cos eps)) (* x (sin eps)))
(+ (* -1 (cos eps)) (* x (+ (sin eps) (* x (cos eps)))))
(+ (* -1 (cos eps)) (* x (+ (sin eps) (* x (+ (cos eps) (* -1 (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps))))))))))
(+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x))))
(* eps (+ (cos x) (+ (* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x))))) (/ (pow (sin x) 2) (cos x)))))
(/ (- (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(- (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(* 2/3 (pow x 3))
(* (pow x 3) (+ 2/3 (/ 1 (pow x 2))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (sin (+ eps (+ x (* 4 (PI))))) (cos (+ eps (+ x (* 4 (PI))))))
(* x (+ 1 (+ (* 4 (/ (PI) x)) (/ eps x))))
(* x (+ 1 (+ (* 2 (/ (PI) x)) (/ (PI) x))))
(* x (+ 1 (* 2 (/ (PI) x))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(/ (sin x) (cos x))
(* -1 (/ (- (* -1 (* (cos x) (sin (+ eps x)))) (* -1 (* (cos (+ eps x)) (sin x)))) (* (cos x) (cos (+ eps x)))))
(- (* -1 (* (cos x) (sin (+ eps x)))) (* -1 (* (cos (+ eps x)) (sin x))))
(* -1 (* (cos x) (sin (+ eps x))))
(sin (+ eps x))
(* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(* 2/3 (pow x 4))
(* (pow x 4) (+ 2/3 (/ 1 (pow x 2))))
(- (/ (sin (+ eps (+ x (* 4 (PI))))) (cos (+ eps (+ x (* 4 (PI)))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(/ (sin (+ x (PI))) (cos (+ x (PI))))
(cos (+ eps x))
(* -1 (* (cos x) (cos (+ eps x))))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(/ (sin (- (+ eps (* 4 (PI))) (* -1 x))) (cos (- (+ eps (* 4 (PI))) (* -1 x))))
(* -1 (* x (- (* -1 (/ (+ eps (* 4 (PI))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (PI) (* 2 (PI))) x)) 1)))
(* -1 (* x (- (* -2 (/ (PI) x)) 1)))
(* -1 (/ (- (* -1 (* (cos x) (sin (- eps (* -1 x))))) (* -1 (* (cos (- eps (* -1 x))) (sin x)))) (* (cos x) (cos (- eps (* -1 x))))))
(- (* -1 (* (cos x) (sin (- eps (* -1 x))))) (* -1 (* (cos (- eps (* -1 x))) (sin x))))
(* -1 (* (cos x) (sin (- eps (* -1 x)))))
(sin (- eps (* -1 x)))
(- (/ (sin (- (+ eps (* 4 (PI))) (* -1 x))) (cos (- (+ eps (* 4 (PI))) (* -1 x)))) (/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x)))))
(/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x))))
(cos (- eps (* -1 x)))
(* -1 (* (cos x) (cos (- eps (* -1 x)))))
(+ (cos x) (/ (pow (sin x) 2) (cos x)))
(* eps (+ (cos x) (/ (pow (sin x) 2) (cos x))))
(/ (* eps (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (cos x))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))))) (pow (cos x) 2))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1/3 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2))))))) (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- (+ (cos x) (* (pow eps 2) (- (* 1/3 (cos x)) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (- (* 2/15 (cos x)) (* -2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (- (+ (* 2/15 (cos x)) (* (pow eps 2) (- (* 17/315 (cos x)) (* -17/315 (/ (pow (sin x) 2) (cos x)))))) (* -2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI)))))
(+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI))))))
(+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (* 4 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2)))))) (cos (+ x (* 4 (PI)))))) (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI))))))
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (* 4 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (pow (cos (+ x (* 4 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ x (* 4 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (cos (+ x (* 4 (PI))))))))) (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI))))))
(+ x (* 4 (PI)))
(* -1 (/ (* eps (- (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 2)))
(* eps (+ (* -1 (/ (* eps (* (sin x) (- (* -1 (pow (cos x) 2)) (pow (sin x) 2)))) (pow (cos x) 3))) (* -1 (/ (- (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2)))))
(* eps (+ (* -1 (/ (- (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (* eps (+ (* -1 (* eps (- 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))) (+ (* -1/2 (/ (- (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (* -1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 3)))))))
(* eps (+ (* -1 (/ (- (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (* eps (+ (* -1 (/ (* (sin x) (- (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 3))) (* eps (+ (* -1 (- 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))) (+ (* -1/2 (/ (- (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (* -1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* eps (+ (* -1 (/ (* (sin x) (- 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))) (+ (* -1/2 (/ (- (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (* -1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x))) (+ (* -1/2 (/ (* (sin x) (- (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 3))) (* 1/6 (/ (* (sin x) (- (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 3))))))))))))
(* eps (- (* -1 (pow (cos x) 2)) (pow (sin x) 2)))
(* eps (- (+ (* -1 (pow (cos x) 2)) (* (pow eps 2) (- (* 1/6 (pow (cos x) 2)) (* -1/6 (pow (sin x) 2))))) (pow (sin x) 2)))
(* eps (- (+ (* -1 (pow (cos x) 2)) (* (pow eps 2) (- (+ (* 1/6 (pow (cos x) 2)) (* (pow eps 2) (- (* -1/120 (pow (cos x) 2)) (* 1/120 (pow (sin x) 2))))) (* -1/6 (pow (sin x) 2))))) (pow (sin x) 2)))
(* eps (- (+ (* -1 (pow (cos x) 2)) (* (pow eps 2) (- (+ (* 1/6 (pow (cos x) 2)) (* (pow eps 2) (- (+ (* -1/120 (pow (cos x) 2)) (* (pow eps 2) (- (* 1/5040 (pow (cos x) 2)) (* -1/5040 (pow (sin x) 2))))) (* 1/120 (pow (sin x) 2))))) (* -1/6 (pow (sin x) 2))))) (pow (sin x) 2)))
(* -1 (* (cos x) (sin x)))
(+ (* -1 (* eps (pow (cos x) 2))) (* -1 (* (cos x) (sin x))))
(+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1 (pow (cos x) 2)) (* 1/2 (* eps (* (cos x) (sin x)))))))
(+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1 (pow (cos x) 2)) (* eps (+ (* 1/6 (* eps (pow (cos x) 2))) (* 1/2 (* (cos x) (sin x))))))))
(sin x)
(+ (sin x) (* eps (cos x)))
(+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))
(+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
(* 1/3 (pow eps 2))
(cos x)
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (+ (* -1 (sin x)) (* -1/3 (* (pow eps 2) (sin x))))))
(+ (cos x) (* eps (+ (* -1 (sin x)) (* (pow eps 2) (+ (* -1/3 (sin x)) (* -2/15 (* (pow eps 2) (sin x))))))))
(- (/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI)))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (* 4 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2)))))) (cos (+ x (* 4 (PI)))))) (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI)))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (* 4 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (pow (cos (+ x (* 4 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ x (* 4 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (cos (+ x (* 4 (PI))))))))) (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI)))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(+ (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))))
(* -1 (pow (cos x) 2))
(+ (* -1 (pow (cos x) 2)) (* eps (* (cos x) (sin x))))
(+ (* -1 (pow (cos x) 2)) (* eps (+ (* 1/2 (* eps (pow (cos x) 2))) (* (cos x) (sin x)))))
(+ (* -1 (pow (cos x) 2)) (* eps (+ (* eps (+ (* -1/6 (* eps (* (cos x) (sin x)))) (* 1/2 (pow (cos x) 2)))) (* (cos x) (sin x)))))
(* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x)))))
(* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (+ (/ (cos x) (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))
(* 1/3 (* (pow eps 3) (+ (cos x) (/ (pow (sin x) 2) (cos x)))))
(* (pow eps 3) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (+ (/ (cos x) (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))
(* eps (+ 1 (+ (* 4 (/ (PI) eps)) (/ x eps))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (cos x) (/ (pow (sin x) 2) (cos x))) (pow eps 2))) (* -1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
(/ (sin (- (+ x (* 4 (PI))) (* -1 eps))) (cos (- (+ x (* 4 (PI))) (* -1 eps))))
(* -1 (* eps (- (* -1 (/ (+ x (* 4 (PI))) eps)) 1)))
(* -1 (/ (- (* -1 (* (cos x) (sin (- x (* -1 eps))))) (* -1 (* (cos (- x (* -1 eps))) (sin x)))) (* (cos x) (cos (- x (* -1 eps))))))
(- (* -1 (* (cos x) (sin (- x (* -1 eps))))) (* -1 (* (cos (- x (* -1 eps))) (sin x))))
(* -1 (* (cos x) (sin (- x (* -1 eps)))))
(sin (- x (* -1 eps)))
(- (/ (sin (- (+ x (* 4 (PI))) (* -1 eps))) (cos (- (+ x (* 4 (PI))) (* -1 eps)))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(cos (- x (* -1 eps)))
(* -1 (* (cos x) (cos (- x (* -1 eps)))))

Outputs
(+ 1 (* 1/3 (pow eps 2)))
(fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))
(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/2 (* 1/6 (pow eps 2))))))
(+.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 x x)))
(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/2 (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ 5/24 (* 5/72 (pow eps 2)))))))))
(+.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 (+.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 (fma.f64 #s(literal 5/72 binary64) (.f64 eps eps) #s(literal 5/24 binary64)) (.f64 x x))) (*.f64 x x)))
(+ 1 (+ (* 1/3 (pow eps 2)) (* (pow x 2) (+ 1/2 (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ 5/24 (+ (* 5/72 (pow eps 2)) (* (pow x 2) (+ 61/720 (* 61/2160 (pow eps 2))))))))))))
(+.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 (+.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 (+.f64 (fma.f64 #s(literal 5/72 binary64) (.f64 eps eps) #s(literal 5/24 binary64)) (.f64 (fma.f64 #s(literal 61/2160 binary64) (.f64 eps eps) #s(literal 61/720 binary64)) (.f64 x x))) (.f64 x x))) (.f64 x x)))
(* eps (+ 1 (* 1/3 (pow eps 2))))
(.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps)
(+ (* eps (* (pow x 2) (+ 1/2 (* 1/6 (pow eps 2))))) (* eps (+ 1 (* 1/3 (pow eps 2)))))
(.f64 eps (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 x x) (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow x 2) (+ (* eps (* (pow x 2) (+ 5/24 (* 5/72 (pow eps 2))))) (* eps (+ 1/2 (* 1/6 (pow eps 2)))))))
(fma.f64 (.f64 eps (fma.f64 (fma.f64 #s(literal 5/72 binary64) (.f64 eps eps) #s(literal 5/24 binary64)) (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal 1/2 binary64)))) (.f64 x x) (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow x 2) (+ (* eps (+ 1/2 (* 1/6 (pow eps 2)))) (* (pow x 2) (+ (* eps (* (pow x 2) (+ 61/720 (* 61/2160 (pow eps 2))))) (* eps (+ 5/24 (* 5/72 (pow eps 2)))))))))
(fma.f64 (fma.f64 (.f64 eps (fma.f64 (fma.f64 #s(literal 61/2160 binary64) (.f64 eps eps) #s(literal 61/720 binary64)) (.f64 x x) (fma.f64 #s(literal 5/72 binary64) (.f64 eps eps) #s(literal 5/24 binary64)))) (.f64 x x) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (.f64 x x) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))
(/ (sin eps) (cos eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(fma.f64 x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (neg.f64 x) (neg.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/2 (/ (sin eps) (cos eps))))) (cos eps)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (.f64 (sin.f64 eps) #s(literal 1/6 binary64)) (cos.f64 eps)) (sin.f64 eps) (.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (sin.f64 eps))) (cos.f64 eps))) (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) x (.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* (pow x 2) (- (* -1/2 (/ (sin eps) (cos eps))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
(fma.f64 (/.f64 (.f64 (sin.f64 eps) #s(literal 1/2 binary64)) (cos.f64 eps)) (.f64 x x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* 1/24 (/ (sin eps) (cos eps))) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
(fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 eps)) (cos.f64 eps)) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal -1/6 binary64))) (.f64 x x) (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (cos.f64 eps))) (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps))) (*.f64 x x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (* (pow x 2) (- (+ (* 1/24 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* -1/720 (/ (sin eps) (cos eps))) (+ (* -2/15 (/ (sin eps) (cos eps))) (+ (* -1/120 (/ (sin eps) (cos eps))) (* 1/18 (/ (sin eps) (cos eps)))))))) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))
(fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal -1/720 binary64) (sin.f64 eps)) (cos.f64 eps)) (fma.f64 #s(literal -2/15 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 17/360 binary64)))) (.f64 x x) (/.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 eps)) (cos.f64 eps))) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal -1/6 binary64))) (.f64 x x) (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (cos.f64 eps))) (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps))) (.f64 x x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
x
(* x (+ 1 (* 2/3 (pow x 2))))
(.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) x)
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 x (.f64 (sin.f64 eps) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps))) (.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
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eps
(+ eps (* eps (pow x 2)))
(fma.f64 (*.f64 x x) eps eps)
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (* -1/3 eps) (* -1 eps))))))
(fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 2/3 binary64) eps) (*.f64 x x) eps)
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(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
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(/ (sin (+ eps (* 4 (PI)))) (cos (+ eps (* 4 (PI)))))
(/.f64 (sin.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) eps)) (cos.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) eps)))
(+ (* x (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (/ (sin (+ eps (* 4 (PI)))) (cos (+ eps (* 4 (PI))))))
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(+ eps (* 4 (PI)))
(fma.f64 #s(literal 4 binary64) (PI.f64) eps)
(+ eps (+ x (* 4 (PI))))
(+.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) x) eps)
(+ (PI) (* 2 (PI)))
(*.f64 #s(literal 3 binary64) (PI.f64))
(+ x (+ (PI) (* 2 (PI))))
(fma.f64 #s(literal 3 binary64) (PI.f64) x)
(* 2 (PI))
(*.f64 (PI.f64) #s(literal 2 binary64))
(+ x (* 2 (PI)))
(fma.f64 (PI.f64) #s(literal 2 binary64) x)
(+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2))))))
(fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 2/3 binary64) eps) (*.f64 x x) eps)
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (+ (* 17/45 (* eps (pow x 2))) (* 2/3 eps))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 2/3 binary64) eps)) (.f64 x x) eps) (*.f64 x x) eps)
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
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(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #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) (cos eps)) (/ (pow (sin eps) 3) (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
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(* -1 (sin eps))
(neg.f64 (sin.f64 eps))
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(+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (sin eps)))))
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(sin eps)
(sin.f64 eps)
(+ (sin eps) (* x (cos eps)))
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(+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))
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(+ 1 (* -1 (/ (* x (sin eps)) (cos eps))))
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(- (/ (sin (+ eps (* 4 (PI)))) (cos (+ eps (* 4 (PI))))) (/ (sin (PI)) (cos (PI))))
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(/ (sin (PI)) (cos (PI)))
#s(literal 0 binary64)
(+ (* x (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
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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))
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(* -1 (cos eps))
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(+ (* -1 (cos eps)) (* x (sin eps)))
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(/ (- (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
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(- (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
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(* 2/3 (pow x 3))
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(sin (+ eps x))
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(* 2/3 (pow x 4))
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(* -1 (* (cos x) (sin (- eps (* -1 x)))))
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(sin (- eps (* -1 x)))
(sin.f64 (-.f64 eps (neg.f64 x)))
(- (/ (sin (- (+ eps (* 4 (PI))) (* -1 x))) (cos (- (+ eps (* 4 (PI))) (* -1 x)))) (/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x)))))
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(/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x))))
(/.f64 (sin.f64 (-.f64 (PI.f64) (neg.f64 x))) (cos.f64 (-.f64 (PI.f64) (neg.f64 x))))
(cos (- eps (* -1 x)))
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(* -1 (* (cos x) (cos (- eps (* -1 x)))))
(*.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (neg.f64 (cos.f64 x)))
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(* eps (+ (cos x) (/ (pow (sin x) 2) (cos x))))
(*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (cos.f64 x)) eps)
(/ (* eps (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (cos x))
(*.f64 eps (/.f64 (-.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) (cos.f64 x)))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))))) (pow (cos x) 2))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1/3 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2))))))) (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* eps (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))))
(*.f64 (-.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))) eps)
(* eps (- (+ (cos x) (* (pow eps 2) (- (* 1/3 (cos x)) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
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(* eps (- (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (- (* 2/15 (cos x)) (* -2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
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(* eps (- (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (- (+ (* 2/15 (cos x)) (* (pow eps 2) (- (* 17/315 (cos x)) (* -17/315 (/ (pow (sin x) 2) (cos x)))))) (* -2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x)))))
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(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI)))))
(/.f64 (sin.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) x)) (cos.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) x)))
(+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI))))))
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(+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (* 4 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2)))))) (cos (+ x (* 4 (PI)))))) (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI))))))
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(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (* 4 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (pow (cos (+ x (* 4 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ x (* 4 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (cos (+ x (* 4 (PI))))))))) (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI))))))
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(+ x (* 4 (PI)))
(fma.f64 #s(literal 4 binary64) (PI.f64) x)
(* -1 (/ (* eps (- (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 2)))
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(* eps (+ (* -1 (/ (* eps (* (sin x) (- (* -1 (pow (cos x) 2)) (pow (sin x) 2)))) (pow (cos x) 3))) (* -1 (/ (- (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2)))))
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(* eps (+ (* -1 (/ (- (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (* eps (+ (* -1 (* eps (- 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))) (+ (* -1/2 (/ (- (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (* -1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 3)))))))
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(* eps (+ (* -1 (/ (- (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (* eps (+ (* -1 (/ (* (sin x) (- (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 3))) (* eps (+ (* -1 (- 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))) (+ (* -1/2 (/ (- (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (* -1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* eps (+ (* -1 (/ (* (sin x) (- 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))) (+ (* -1/2 (/ (- (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (* -1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x))) (+ (* -1/2 (/ (* (sin x) (- (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 3))) (* 1/6 (/ (* (sin x) (- (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 3))))))))))))
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(* eps (- (* -1 (pow (cos x) 2)) (pow (sin x) 2)))
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(* eps (- (+ (* -1 (pow (cos x) 2)) (* (pow eps 2) (- (* 1/6 (pow (cos x) 2)) (* -1/6 (pow (sin x) 2))))) (pow (sin x) 2)))
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(* eps (- (+ (* -1 (pow (cos x) 2)) (* (pow eps 2) (- (+ (* 1/6 (pow (cos x) 2)) (* (pow eps 2) (- (* -1/120 (pow (cos x) 2)) (* 1/120 (pow (sin x) 2))))) (* -1/6 (pow (sin x) 2))))) (pow (sin x) 2)))
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(* eps (- (+ (* -1 (pow (cos x) 2)) (* (pow eps 2) (- (+ (* 1/6 (pow (cos x) 2)) (* (pow eps 2) (- (+ (* -1/120 (pow (cos x) 2)) (* (pow eps 2) (- (* 1/5040 (pow (cos x) 2)) (* -1/5040 (pow (sin x) 2))))) (* 1/120 (pow (sin x) 2))))) (* -1/6 (pow (sin x) 2))))) (pow (sin x) 2)))
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(* -1 (* (cos x) (sin x)))
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(* 1/3 (pow eps 2))
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(cos x)
(cos.f64 x)
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(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
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(* -1 (pow (cos x) 2))
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(+ (* -1 (pow (cos x) 2)) (* eps (* (cos x) (sin x))))
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(* 1/3 (* (pow eps 2) (+ (cos x) (/ (pow (sin x) 2) (cos x)))))
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(* (pow eps 2) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (+ (/ (cos x) (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))
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(* 1/3 (* (pow eps 3) (+ (cos x) (/ (pow (sin x) 2) (cos x)))))
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(* (pow eps 3) (+ (* 1/3 (+ (cos x) (/ (pow (sin x) 2) (cos x)))) (+ (/ (cos x) (pow eps 2)) (/ (pow (sin x) 2) (* (pow eps 2) (cos x))))))
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(* eps (+ 1 (+ (* 4 (/ (PI) eps)) (/ x eps))))
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(/ (sin (- (+ x (* 4 (PI))) (* -1 eps))) (cos (- (+ x (* 4 (PI))) (* -1 eps))))
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(* -1 (* (cos x) (sin (- x (* -1 eps)))))
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(sin (- x (* -1 eps)))
(sin.f64 (-.f64 x (neg.f64 eps)))
(- (/ (sin (- (+ x (* 4 (PI))) (* -1 eps))) (cos (- (+ x (* 4 (PI))) (* -1 eps)))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(-.f64 (/.f64 (sin.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) x) (neg.f64 eps))) (cos.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) x) (neg.f64 eps)))) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(cos (- x (* -1 eps)))
(cos.f64 (-.f64 x (neg.f64 eps)))
(* -1 (* (cos x) (cos (- x (* -1 eps)))))
(*.f64 (cos.f64 (-.f64 x (neg.f64 eps))) (neg.f64 (cos.f64 x)))

rewrite237.0ms (1.6%)

Memory

-31.5MiB live, 186.0MiB allocated; 82ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	403
0	116	399
1	489	320
2	4384	320
0	8212	312

Stop Event

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

Counts

27 → 525

Calls

Call 1

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

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

eval147.0ms (1%)

Memory: -13.3MiB live, 173.1MiB allocated; 22ms collecting garbage
Compiler: Compiled 35 125 to 3 933 computations (88.8% saved)

prune54.0ms (0.4%)

Memory

27.5MiB live, 74.8MiB allocated; 1ms collecting garbage

Pruning

28 alts after pruning (23 fresh and 5 done)

	Pruned	Kept	Total
New	806	12	818
Fresh	9	11	20
Picked	5	0	5
Done	0	5	5
Total	820	28	848

Accuracy

100.0%

Counts

848 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.4%	(/.f64 (fma.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x) (.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)))) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
	98.9%	(/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (cos.f64 x)) eps)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
	99.2%	(/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (.f64 (fma.f64 (.f64 eps #s(literal 1/3 binary64)) eps #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x))) eps)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
	99.9%	(/.f64 #s(approx (- (* (sin (+ eps x)) (neg (cos x))) (* (cos (+ eps x)) (neg (sin x)))) (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
	63.4%	(-.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))
	2.9%	(-.f64 (tan.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (fma.f64 #s(literal 2 binary64) (PI.f64) eps))) #s(approx (tan (+ (PI) x)) x))
	3.0%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) (+.f64 (PI.f64) eps))) #s(approx (tan (+ (PI) x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 0 binary64)) x #s(literal 1 binary64)) #s(literal 0 binary64)) x #s(literal 0 binary64))))
✓	4.3%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))) (tan.f64 x))
✓	7.4%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
✓	63.3%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	61.8%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x)))
✓	61.5%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) x))
	7.8%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
	2.9%	(-.f64 (tan.f64 #s(approx (+ (+ (+ (PI) (+ (PI) x)) (PI)) (+ (PI) eps)) (+.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) x) eps))) #s(approx (tan (+ (PI) x)) x))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x)) eps eps))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (fma.f64 (cos.f64 (.f64 #s(literal -2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))))) eps eps))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))))) eps eps))
	98.1%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (pow (sin x) 2) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/315 binary64) (.f64 x x) #s(literal 2/45 binary64)) x) x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))))) eps eps))
	98.1%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (pow (sin x) 2) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))))) eps eps))
	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) eps eps))
	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))) eps eps))
✓	97.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (*.f64 x x)) eps eps))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (tan.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64)))) (tan.f64 x) #s(literal 1 binary64)) eps))
	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (tan.f64 x) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) eps))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) eps))
	97.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ ( (tan x) (tan x)) 1) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
	97.6%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ ( (tan x) (tan x)) 1) #s(literal 1 binary64)) eps))

Compiler

Compiled 2 530 to 880 computations (65.2% saved)

regimes49.0ms (0.3%)

Memory

-33.8MiB live, 64.5MiB allocated; 11ms collecting garbage

Counts

56 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ ( (tan x) (tan x)) 1) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (*.f64 x x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ ( (tan x) (tan x)) 1) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) eps eps))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 #s(approx (+ (+ (+ (PI) (+ (PI) x)) (PI)) (+ (PI) eps)) (+.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) x) eps))) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64)) x)) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) eps)) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) (+.f64 (PI.f64) eps))) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) (+.f64 (+.f64 (PI.f64) eps) (PI.f64)))) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (fma.f64 #s(literal 2 binary64) (PI.f64) eps))) #s(approx (tan (+ (PI) x)) 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 (+.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) (+.f64 (PI.f64) eps))) #s(approx (tan (+ (PI) x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 0 binary64)) x #s(literal 1 binary64)) #s(literal 0 binary64)) x #s(literal 0 binary64))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (tan.f64 x) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (pow (sin x) 2) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))))) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (pow (sin x) 2) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/315 binary64) (.f64 x x) #s(literal 2/45 binary64)) x) x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))))) eps eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) eps))
(-.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 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (tan.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64)))) (tan.f64 x) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))))) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (fma.f64 (cos.f64 (.f64 #s(literal -2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))))) eps eps))
(/.f64 #s(approx (- (* (sin (+ eps x)) (neg (cos x))) (* (cos (+ eps x)) (neg (sin x)))) (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (cos.f64 (+.f64 eps x))) (cos.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (neg.f64 x) (PI.f64))))))) eps eps))
(/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) #s(approx (+ (* (* (* x x) 1/2) (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) eps))) (*.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))))) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps))
(/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) #s(approx (+ (* (* (* x x) 1/2) (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps) x) x (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64) eps)))) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 (sin.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (neg.f64 x) (PI.f64)))) (sin.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (neg.f64 x) (PI.f64))))) #s(literal 2 binary64))) eps eps))
(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x))
(/.f64 (-.f64 (.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))) (.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x x)))) (*.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))))) eps eps))
(/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (.f64 (fma.f64 (.f64 eps #s(literal 1/3 binary64)) eps #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (sin.f64 x) (cos.f64 x))) eps)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
(/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) eps)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
(/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (cos.f64 x)) eps)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
(/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (sin.f64 x))) (*.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
(/.f64 (fma.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x) (.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)))) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x)) eps eps))
(/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (fma.f64 (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x)) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (fma.f64 (sin.f64 x) (tan.f64 x) (cos.f64 x))) eps)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
(fma.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 2 binary64)))) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal 1 binary64)) (-.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x)))
(/.f64 #s(approx (- (* (+ (tan eps) (tan x)) (cos x)) (* (+ (* (neg (tan x)) (tan eps)) 1) (sin x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) (.f64 eps eps) (+.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) eps)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x)) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (-.f64 (.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)) #s(literal 1 binary64)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (.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)) (neg (cos x))) (* (cos (+ eps x)) (neg (sin x)))) (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))

Calls

3 calls:

19.0ms	eps
13.0ms	x
13.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes25.0ms (0.2%)

Memory

34.7MiB live, 34.7MiB allocated; 0ms collecting garbage

Counts

32 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ ( (tan x) (tan x)) 1) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (*.f64 x x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ ( (tan x) (tan x)) 1) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) eps eps))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 #s(approx (+ (+ (+ (PI) (+ (PI) x)) (PI)) (+ (PI) eps)) (+.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) x) eps))) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64)) x)) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) eps)) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) (+.f64 (PI.f64) eps))) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) (+.f64 (+.f64 (PI.f64) eps) (PI.f64)))) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (fma.f64 #s(literal 2 binary64) (PI.f64) eps))) #s(approx (tan (+ (PI) x)) 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 (+.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) (+.f64 (PI.f64) eps))) #s(approx (tan (+ (PI) x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 0 binary64)) x #s(literal 1 binary64)) #s(literal 0 binary64)) x #s(literal 0 binary64))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (tan.f64 x) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (pow (sin x) 2) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))))) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (pow (sin x) 2) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/315 binary64) (.f64 x x) #s(literal 2/45 binary64)) x) x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))))) eps eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) eps))
(-.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 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (tan.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64)))) (tan.f64 x) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))))) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (fma.f64 (cos.f64 (.f64 #s(literal -2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))))) eps eps))

Outputs

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes34.0ms (0.2%)

Memory

-23.0MiB live, 22.7MiB allocated; 4ms collecting garbage

Counts

31 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ ( (tan x) (tan x)) 1) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (*.f64 x x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ ( (tan x) (tan x)) 1) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) eps eps))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 #s(approx (+ (+ (+ (PI) (+ (PI) x)) (PI)) (+ (PI) eps)) (+.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) x) eps))) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64)) x)) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) eps)) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) (+.f64 (PI.f64) eps))) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) (+.f64 (+.f64 (PI.f64) eps) (PI.f64)))) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (fma.f64 #s(literal 2 binary64) (PI.f64) eps))) #s(approx (tan (+ (PI) x)) 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 (+.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) (+.f64 (PI.f64) eps))) #s(approx (tan (+ (PI) x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 0 binary64)) x #s(literal 1 binary64)) #s(literal 0 binary64)) x #s(literal 0 binary64))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (tan.f64 x) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (pow (sin x) 2) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))))) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (pow (sin x) 2) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/315 binary64) (.f64 x x) #s(literal 2/45 binary64)) x) x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))))) eps eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) eps))
(-.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 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (tan.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64)))) (tan.f64 x) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))))) eps eps))

Outputs

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

Calls

3 calls:

17.0ms	x
8.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
7.0ms	eps

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes24.0ms (0.2%)

Memory

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

Counts

30 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ ( (tan x) (tan x)) 1) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (*.f64 x x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ ( (tan x) (tan x)) 1) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) eps eps))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 #s(approx (+ (+ (+ (PI) (+ (PI) x)) (PI)) (+ (PI) eps)) (+.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) x) eps))) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64)) x)) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) eps)) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) (+.f64 (PI.f64) eps))) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) (+.f64 (+.f64 (PI.f64) eps) (PI.f64)))) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (fma.f64 #s(literal 2 binary64) (PI.f64) eps))) #s(approx (tan (+ (PI) x)) 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 (+.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) (+.f64 (PI.f64) eps))) #s(approx (tan (+ (PI) x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 0 binary64)) x #s(literal 1 binary64)) #s(literal 0 binary64)) x #s(literal 0 binary64))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (tan.f64 x) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (pow (sin x) 2) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))))) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (pow (sin x) 2) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/315 binary64) (.f64 x x) #s(literal 2/45 binary64)) x) x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))))) eps eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) eps))
(-.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 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) eps))) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (tan.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64)))) (tan.f64 x) #s(literal 1 binary64)) eps))

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes31.0ms (0.2%)

Memory

-21.7MiB live, 24.1MiB allocated; 3ms collecting garbage

Counts

22 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ ( (tan x) (tan x)) 1) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (*.f64 x x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ ( (tan x) (tan x)) 1) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) eps eps))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 #s(approx (+ (+ (+ (PI) (+ (PI) x)) (PI)) (+ (PI) eps)) (+.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) x) eps))) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64)) x)) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) eps)) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) (+.f64 (PI.f64) eps))) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) (+.f64 (+.f64 (PI.f64) eps) (PI.f64)))) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (fma.f64 #s(literal 2 binary64) (PI.f64) eps))) #s(approx (tan (+ (PI) x)) 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 (+.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) (+.f64 (PI.f64) eps))) #s(approx (tan (+ (PI) x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 0 binary64)) x #s(literal 1 binary64)) #s(literal 0 binary64)) x #s(literal 0 binary64))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (tan.f64 x) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (pow (sin x) 2) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))))) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (pow (sin x) 2) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/315 binary64) (.f64 x x) #s(literal 2/45 binary64)) x) x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))))) eps eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Outputs

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

Calls

3 calls:

18.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
6.0ms	eps
6.0ms	x

Results

Accuracy	Segments	Branch
98.1%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.1%	1	`x`
98.1%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes16.0ms (0.1%)

Memory

28.7MiB live, 28.7MiB allocated; 0ms collecting garbage

Counts

19 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ ( (tan x) (tan x)) 1) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (*.f64 x x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ ( (tan x) (tan x)) 1) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) eps eps))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 #s(approx (+ (+ (+ (PI) (+ (PI) x)) (PI)) (+ (PI) eps)) (+.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) x) eps))) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64)) x)) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) eps)) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) (+.f64 (PI.f64) eps))) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) (+.f64 (+.f64 (PI.f64) eps) (PI.f64)))) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (fma.f64 #s(literal 2 binary64) (PI.f64) eps))) #s(approx (tan (+ (PI) x)) 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 (+.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) (+.f64 (PI.f64) eps))) #s(approx (tan (+ (PI) x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 0 binary64)) x #s(literal 1 binary64)) #s(literal 0 binary64)) x #s(literal 0 binary64))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (tan.f64 x) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) eps))

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.0%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.0%	1	`x`
98.0%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes21.0ms (0.1%)

Memory

-27.0MiB live, 25.4MiB allocated; 8ms collecting garbage

Counts

18 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ ( (tan x) (tan x)) 1) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (*.f64 x x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ ( (tan x) (tan x)) 1) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) eps eps))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 #s(approx (+ (+ (+ (PI) (+ (PI) x)) (PI)) (+ (PI) eps)) (+.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) x) eps))) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64)) x)) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) eps)) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) (+.f64 (PI.f64) eps))) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) (+.f64 (+.f64 (PI.f64) eps) (PI.f64)))) #s(approx (tan (+ (PI) x)) x))
(-.f64 (tan.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (fma.f64 #s(literal 2 binary64) (PI.f64) eps))) #s(approx (tan (+ (PI) x)) 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 (+.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) (+.f64 (PI.f64) eps))) #s(approx (tan (+ (PI) x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 0 binary64)) x #s(literal 1 binary64)) #s(literal 0 binary64)) x #s(literal 0 binary64))))

Outputs

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

Calls

3 calls:

10.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
5.0ms	x
5.0ms	eps

Results

Accuracy	Segments	Branch
98.0%	1	`eps`
98.0%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.0%	1	`x`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes7.0ms (0%)

Memory

16.0MiB live, 16.0MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.0%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.0%	1	`x`
98.0%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes5.0ms (0%)

Memory

14.4MiB live, 14.4MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.9%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
97.9%	1	`x`
97.9%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes6.0ms (0%)

Memory

-31.1MiB live, 13.6MiB allocated; 4ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

3.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
1.0ms	eps
1.0ms	x

Results

Accuracy	Segments	Branch
97.9%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
97.9%	1	`x`
97.9%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes3.0ms (0%)

Memory

8.9MiB live, 8.9MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ ( (tan x) (tan x)) 1) #s(literal 1 binary64)) eps))

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify64.0ms (0.4%)

Memory

8.6MiB live, 54.3MiB allocated; 3ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	109	341
1	168	340
2	293	339
3	601	339
4	1309	336
5	3165	336
6	6088	336

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations1.1s (7.3%)

Memory

-5.3MiB live, 485.5MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	606
0	127	571
1	579	455
2	4961	455
0	8099	440
0	67	446
0	109	405
1	435	367
2	3537	367
0	8046	355
0	925	5035
1	3378	4993
0	8878	4612
0	157	970
1	488	910
2	1845	849
0	8454	797
0	679	3399
1	2500	3165
0	8756	2971
0	814	5114
1	2603	4790
0	8883	4465
0	6	16
0	10	16
1	53	16
2	440	16
3	6608	16
0	8588	16

Stop Event

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

Compiler

Compiled 341 to 111 computations (67.4% saved)

preprocess101.0ms (0.7%)

Memory: 4.6MiB live, 50.7MiB allocated; 3ms collecting garbage
Compiler: Compiled 714 to 246 computations (65.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze93.0ms (0.6%)

sample7.3s (49.1%)

explain207.0ms (1.4%)

preprocess326.0ms (2.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify275.0ms (1.9%)

localize90.0ms (0.6%)

series11.0ms (0.1%)

simplify158.0ms (1.1%)

rewrite301.0ms (2%)

eval25.0ms (0.2%)

prune28.0ms (0.2%)

simplify189.0ms (1.3%)

localize674.0ms (4.5%)

series101.0ms (0.7%)

simplify174.0ms (1.2%)

rewrite296.0ms (2%)

eval482.0ms (3.3%)

prune53.0ms (0.4%)

simplify167.0ms (1.1%)

localize429.0ms (2.9%)

series64.0ms (0.4%)

simplify184.0ms (1.2%)

rewrite188.0ms (1.3%)

eval126.0ms (0.8%)

prune44.0ms (0.3%)

simplify117.0ms (0.8%)

localize564.0ms (3.8%)

series99.0ms (0.7%)

simplify170.0ms (1.1%)

rewrite237.0ms (1.6%)

eval147.0ms (1%)

prune54.0ms (0.4%)

regimes49.0ms (0.3%)

regimes25.0ms (0.2%)

regimes34.0ms (0.2%)

regimes24.0ms (0.2%)

regimes31.0ms (0.2%)

regimes16.0ms (0.1%)

regimes21.0ms (0.1%)

regimes7.0ms (0%)

regimes5.0ms (0%)

regimes6.0ms (0%)

regimes3.0ms (0%)

simplify64.0ms (0.4%)

derivations1.1s (7.3%)

preprocess101.0ms (0.7%)

end0.0ms (0%)

Profiling